Please help asap!!!

Please Help Asap!!!

Answers

Answer 1

The exact values of trigonometric functions are, respectively:

sin (u + v) = - 13 /85

tan (u + v) = - 13 / 84

How to find the exact values of trigonometric functions

In this problem we need to determine the exact values of trigonometric functions, this can be done by using trigonometric formulas and relationships between trigonometric functions. We need to use the following expressions:

sin² x + cos² x = 1

sin (u + v) = sin u · cos v + cos u · sin v

tan x = sin x / cos x

tan (u + v) = (tan u + tan v) / (1 - tan u · tan v)

Where x, u, v are measured in radians.

Now we proceed to determine the exact values of each function:

cos u = √[1 - (- 3 / 5)²]

cos u = 4 / 5

sin v = √[1 - (15 / 17)²]

sin v = 8 / 17

sin (u + v) = (- 3 / 5) · (15 / 17) + (4 / 5) · (8 / 17)

sin (u + v) = - 13 /85

tan u = (- 3 / 5) / (4 / 5)

tan u = - 3 / 4

tan v = (8 / 17) / (15 / 17)

tan v = 8 / 15

tan (u + v) = (- 3 / 4 + 8 / 15) / [1 - (- 3 / 4) · (8 / 15)]

tan (u + v) = - 13 / 84

To learn more on trigonometric functions: https://brainly.com/question/30954499

#SPJ1


Related Questions

I need help on this one

Answers

Answer:

19 degrees

Step-by-step explanation:

hope this helps

Three different athletic teams were surveyed about the
number of glasses of water consumed each day. The
results are represented in the segmented bar graph.
Water Consumed by Athletes
100%
90%
80%
70%
60%
50%
40%
30%
20%
10%
0%
Track
Softball Baseball
<4 Glasses
4-8 Glasses
>8 Glasses
Which statement is true?
About 30% of track athletes consume 8 glasses of
water or less each day.
About 70% of track athletes consume 4 to 8 glasses
of water each day.
About 60% of baseball players consume 4 to 8
glasses of water each day.
About 12% of softball players consume more than 8
glasses of water each day.

Answers

After answering the presented question, we can conclude that Softball graphs players drink less than 4 glasses of water, 60% drink 4 to 8 glasses, and 12% drink more than 8 glasses.

What is graphs?

Mathematicians use graphs to visually display or chart facts or values in order to express them coherently. A graph point usually represents a relationship between two or more things. A graph, a non-linear data structure, is made up of nodes (or vertices) and edges. Glue the nodes, also known as vertices, together. This graph includes V=1, 2, 3, 5, and E=1, 2, 1, 3, 2, 4, and (2.5). (3.5). (4.5). Statistical graphs (bar graphs, pie graphs, line graphs, and so on) are graphical representations of exponential growth. A triangle-shaped logarithmic graph.

70% of track athletes drink 4 to 8 glasses of water every day.

We can observe that the blue segment, which represents the number of track athletes who drink 4 to 8 glasses of water each day, accounts for almost 70% of the whole bar. The graph does not support any of the other statements. According to the graph, approximately 25% of track athletes take less than 4 glasses of water, while approximately 5% consume more than 8 glasses. Baseball players drink less than 4 glasses of water, 35% drink 4 to 8 glasses, and 25% drink more than 8 glasses. Softball players drink less than 4 glasses of water, 60% drink 4 to 8 glasses, and 12% drink more than 8 glasses.

To know more about graphs visit:

https://brainly.com/question/11950136

#SPJ1

1. What weird food combinations do you really enjoy? 2. What social stigma does society need to get over? 3. What food have you never eaten but would really like to try? 4. What's something you really resent paying for? 5. What would a world populated by clones of you be like? 6. Do you think that aliens exist? 7. What are you currently worried about? 8. Where are some unusual places you've been? 9. Where do you get your news? 10. What are some red flags to watch out for in daily life? 11. What movie can you watch over and over without ever getting tired of? 12. When you are old, what do you think children will ask you to tell stories about? 13. If you could switch two movie characters, what switch would lead to the most inappropriate movies? 14. What inanimate object would be the most annoying if it played loud upbeat music while being used?​

Answers

Answer:

1. Weird food combinations that people enjoy can vary widely and may include things like peanut butter and pickles, french fries and ice cream, or even hot sauce on popcorn.

2. Society needs to get over many social stigmas, such as those related to mental health, sexuality, gender identity, and race. Breaking down these stigmas can help create a more inclusive and accepting society.

3. Foods that people have never tried but would like to can also vary widely and may include exotic fruits, unusual vegetables, or traditional dishes from different cultures.

4. People may resent paying for a variety of things, such as taxes, healthcare costs, or overpriced products or services.

5. A world populated by clones of one person would likely be very homogenous and lacking in diversity, both in terms of physical appearance and personality traits.

6. The existence of aliens is a topic of debate and speculation. While there is no conclusive evidence that they exist, some people believe that the vastness of the universe suggests that other intelligent life forms could be out there.

7. People may worry about a wide range of things, such as their health, their relationships, their finances, or the state of the world.

8. Unusual places that people have been may include remote locations, abandoned buildings, or unconventional travel destinations.

9. People may get their news from a variety of sources, such as traditional news outlets, social media, or alternative news sources.

10. Red flags to watch out for in daily life can include warning signs of scams, dangerous situations, or manipulative people.

11. Movies that people can watch over and over without getting tired of can vary widely, from classic comedies to action-packed blockbusters.

12. When people are old, children may ask them to tell stories about their childhood, their family history, or significant events they witnessed throughout their lifetime.

13. Switching two movie characters could lead to a variety of inappropriate scenarios, depending on the characters and the plot of the movie.

14. An inanimate object that played loud upbeat music while being used could be annoying in many situations, such as during a quiet study session or while trying to fall asleep.

3. Se tienen los puntos A. M. B, colineales y consecutivos, donde AB = 52 cm y M es punto medio de AB. ¿Cuanto mide el segmento AM?

Answers

Answer:

Por lo tanto, el segmento AM mide 26 cm.

Step-by-step explanation:

Como M es el punto medio de AB, entonces AM tiene la misma longitud que MB. Por lo tanto, la longitud de AM es:

AM = MB = AB / 2

Sustituyendo los valores dados, tenemos:

AM = MB = AB / 2 = 52 cm / 2 = 26 cm

WILL MARK BRAINLIEST
a quadratic function is represented by the graph

what is the equation of the axis of symmetry of the function?
what are the coordinates of the vertex of the function
what are the coordinates of the x-intercepts of the function
what are the coordinates of the y intercept of the function ​

Answers

The equation of the axis of symmetry of the quadratic function is given by y = -2x² + 8x - 5.

x = 4 is the x-coordinate of the vertex.

x = 0 and x = 4 are the x-coordinates of the x-intercepts.

y = -5 is the y-coordinate of the y-intercept.

What is quadratic function?

A quadratic function has two variables that can be used to model real-world problems. It has a distinct shape of a parabola, which is a symmetrical U-shaped curve.

The coordinates of the vertex of the function can be calculated by taking the derivative of the given equation and setting it equal to 0.

This yields x = 4 as the x-coordinate of the vertex.

Substituting this value in the given equation gives us the y-coordinate of the vertex, which is y = 11.

The coordinates of the x-intercepts of the function can be found by setting y = 0 in the given equation.

This yields x = 0 and x = 4 as the x-coordinates of the x-intercepts. Substituting these values in the given equation gives us the corresponding y-intercepts, which are

y = -5 and y = 0 respectively.

The coordinates of the y-intercept of the function can be found by setting x = 0 in the given equation.

This yields y = -5 as the y-coordinate of the y-intercept.

For more questions related to variables

https://brainly.com/question/29283831

#SPJ1

Shirley uses pattern blocks to measure the straight angle. Select all the combinations of pattern block angles that Shirley could use to measure the angle

Answers

To measure a straight angle, Shirley could use any combination of pattern blocks that adds up to 180 degrees.

What are the pattern block angle combinations Shirley could use to measure the angle?

One hexagon (120 degrees) and three triangles (60 degrees each): 120 + 60 + 60 + 60 = 300 degrees (not a straight angle)Two triangles (60 degrees each) and two hexagons (120 degrees each): 60 + 60 + 120 + 120 = 360 degrees (a full circle, which includes a straight angle)One trapezoid (270 degrees) and one triangle (60 degrees): 270 + 60 = 330 degrees (not a straight angle)One rhombus (120 degrees) and two trapezoids (270 degrees each): 120 + 270 + 270 = 660 degrees (not a straight angle)Three rhombuses (120 degrees each) and one triangle (60 degrees): 120 + 120 + 120 + 60 = 420 degrees (not a straight angle)Six triangles (60 degrees each): 60 + 60 + 60 + 60 + 60 + 60 = 360 degrees (a full circle, which includes a straight angle)

As a result, the pattern block angle combinations that Shirley could use to measure the angle are:

Two triangles (60 degrees each) and two hexagons (120 degrees each)Six triangles (60 degrees each)


Incomplete question provided, below is the complete question -
Shirley measures the straight angle using pattern blocks. Choose every possible combination of angle possibilities for pattern blocks Shirley could use to calculate the angle.

# The tan pattern block has six minor angles.

# On the red pattern block, there are two angles: one large and one small.

# On the red pattern block, there is one large angle and three small angles.

# The tan pattern block has four tiny angles, and the red pattern block has one tiny angle.

# The red pattern block has two sharp angles.

To learn more about pattern blocks, visit: https://brainly.com/question/29256079

#SPJ1

Naomi wants to wrap a gift for her sister. The gift is in a box with a length of 10 inches, a height of 2 inches, and a depth of 3 inches. If Naomi is calculating the minimum amount of wrapping paper to wrap the gift, would she be finding the Volume or Surface Area?

Answers

To calculate the minimum amount of wrapping paper needed to wrap the gift, Naomi would be finding the Surface Area.

The Surface Area of a three-dimensional object is the sum of the areas of all its faces. In this case, the gift is a rectangular prism with dimensions of length 10 inches, height 2 inches, and depth 3 inches.

To wrap the gift, Naomi would need to cover all six faces of the rectangular prism with wrapping paper. The formula for the Surface Area of a rectangular prism is:

Surface Area = 2lw + 2lh + 2wh

where l, h, and w are the length, height, and width of the rectangular prism, respectively.

Substituting the values for the length, height, and depth of the gift, we get:

Surface Area = 2(10 x 2) + 2(10 x 3) + 2(2 x 3)

Surface Area = 20 + 60 + 12

Surface Area = 92 square inches

Therefore, Naomi would need at least 92 square inches of wrapping paper to cover the gift, which is the Surface Area of the rectangular prism.

principle amount =750 interest rate =5% time = 4 years
how much interest is gained after 4 years ?

Answers

Answer:

Step-by-step explanation:

use formula I = prt

I=Interest P=principal R=rate T=time so Interest is = to 750 x 5% or 0.05 x 4 which is 150 so after 4 years 150 interest is gained

Solve this system of linear equations. Separate
the x- and y-values with a comma.
9x - 19y = 74
3x + 3y = 6

Answers

Step-by-step explanation:

We can start by solving the second equation for one of the variables. Let's solve for y:

3x + 3y = 6

3y = 6 - 3x

y = 2 - x

Now we can substitute this expression for y into the first equation:

9x - 19y = 74

9x - 19(2 - x) = 74 (substituting y = 2 - x)

9x - 38 + 19x = 74

28x = 112

x = 4

Now we can use this value to find y:

y = 2 - x

y = 2 - 4

y = -2

Therefore, the solution to the system of equations is x = 4 and y = -2.

Hopes this helps

Answer is ( 4, -2 )

Step by step

We can solve this standard form equation with elimination.

Given

9x - 19y = 74 ➡️ Equation 1

3x + 3y = 6 ➡️ Equation 2

If we multiply EQ.2 by -3 we can eliminate x

-3 ( 3x + 3y = 6)
-9x -9y = -18

Now we have

9x - 19y = 74
-9x -9y = -18
———————- add like terms
0 - 28y = 56
Divide both sides by -28 to solve y

-28/-28 y = 56/ -28

y = - 2

Now substitute value of y = -2 into either equation to solve for x

3x + 3y = 6
3x + 3(-2) = 6
3x - 6 = 6
Add 6 to both sides to isolate x

3x -6 +6 = 6 +6
Simplify

3x = 12
Divide both sides by 3 to solve x

3/3 x = 12/3
x = 4

Your answer is ( 4, -2)

I graphed it to prove my solution

Solve the systems by substitution.
y=4x+6
y = 7x

Answers

Answer:

x = 2

y = 14

Step-by-step explanation:

{y = 4x + 6;

{y = 7x;

.

Let's replace y in the second equation with the value given in the 1st equation:

4x + 6 = 7x

4x - 7x = -6

-3x = -6 / : (-3)

x = 2

x = 2y = 4 × 2 + 6 = 8 + 6 = 14

According to the graph, what is the value of the constant in the equation below?

Answers

According to the graph, the value of the constant in the equation below is 2. The correct option is B.

What is constant in a graph?

A constant function in mathematics is one whose (output) value is constant regardless of the input value.

We are given the equation for the height.

On the graphic, height, and width are related. By choosing a point, we can find the value of the constant.

To find a constant in a graph, the width is multiplied by height.

(Height)(Width) = Constant.

Multiply any of the coordinate values shown, and you will see the constant is 2.

 3 × 1.5 = 2 × 1 = 8 × 4 = 7 × 3.5 =

we will take only one variable which is 2 x 1 = 2, so the constant is 2

Therefore, the correct option is B, 2.

Learn more about the graph, here:

https://brainly.com/question/21088612

#SPJ1

Jessie bought some pizzas and burgers. 3/4 of the food bought were burgers. Jessie bought 18 burgers. How many pizzas and burgers did Jessie buy altogether?​

Answers

Answer:

24

Step-by-step explanation:

Total number of food = x

If ¾ of food = number of burgers bought

Then 3/4 times x = 3x/4

3x/4= 18

x = 24

A box with a square base and open top must have a volume of 13,500 cm^3. Find the dimensions of the box (in cm) that minimize the amount of material used.
There are 2 answer, the height and the sides of the base.

Answers

Let the side length of the square base be x cm and the height of the box be h cm. Then the volume of the box is given by:

V = x^2 * h = 13,500 cm^3

We want to minimize the amount of material used, which is the surface area of the box. The surface area A is given by:

A = x^2 + 4xh

We can use the volume equation to solve for h in terms of x:

h = 13,500 / x^2

Substituting this into the surface area equation gives:

A = x^2 + 4x(13,500 / x^2) = x^2 + 54,000 / x

To minimize A, we take the derivative with respect to x and set it equal to zero:

dA/dx = 2x - 54,000 / x^2 = 0

Solving for x, we get:

x^3 = 27,000

x = 30

Substituting this back into the volume equation gives:

h = 13,500 / (30^2) = 15

Therefore, the dimensions of the box that minimize the amount of material used are 30 cm by 30 cm by 15 cm.

Valeria is tilling her kitchen wall with two types of traditional hand painted Mexicano tiles. If she uses 56 flower tiles how many sun tiles dose she need to maintain the pattern?





A=28

Answers

Therefore, Aditi's mother requires 342 yellow tiles and 57 red tiles for the floral design on the kitchen wall.

What is proportion?

Proportion is a statement that two ratios are equal. A ratio is a comparison of two quantities and is written in the form of a fraction. A proportion can be written in the form of a:b = c:d, where a, b, c, and d are numbers. This means that the ratio of a to b is equal to the ratio of c to d. We can also write a proportion as a fraction, where the numerator is the product of the means (ad) and the denominator is the product of the extremes (bc). Proportions are commonly used in mathematics to solve problems involving ratios and rates.

Here,

Since the floral design is made up of yellow and red hexagonal tiles, we need to determine the proportion of yellow tiles and red tiles in the design. Let's assume that the design consists of x yellow tiles and y red tiles. Each flower in the design consists of 7 hexagonal tiles - 6 yellow tiles and 1 red tile. Therefore, the total number of tiles in the floral design is:

Total number of tiles = 57 flowers x 7 tiles per flower

Total number of tiles = 399 tiles

Since each flower consists of 6 yellow tiles and 1 red tile, the total number of yellow tiles in the design is:

Number of yellow tiles = 6 x Number of flowers

Number of yellow tiles = 6 x 57

Number of yellow tiles = 342

Similarly, the total number of red tiles in the design is:

Number of red tiles = 1 x Number of flowers

Number of red tiles = 1 x 57

Number of red tiles = 57

To know more about proportion,

https://brainly.com/question/31010676

#SPJ1

Complete question:

Aditi's mother is renovating her kitchen. One of the walls of kitchen is entirely made up of tiles. She wants to have a row of floral designs made up of yellow and red hexagonal tiles in the middle of the wall as shown in the adjoining figure. If there are 57 flowers in a row, find out how many yellow-and red-coloured tiles she requires for that wall.

An area of a triangle and rectangle
12m
3m
6cm
Area=

Answers

Answer:

The dimensions of the t r including the path are 12+3+3 and 6+3+3 which is 18x12=216 m2

If we subtract the  tr area 12x6=72m2

216m2–72m2=144m2

Step-by-step explanation:

The equation of the piecewise defined function f(x) is below. What is the value of f(1)?

[x²+1, -4 f(x) = -x², 1 3x, x22

f(1) = -2
f(1) = -1
f(1) = 2
f(1) = 3

Answers

The second piece of the function applies to x = 1, which is f(x) = -x².

Thus, f(1) = -(1)² = -1.  The correct answer is f(1) = -1.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

To find the value of f(1), we need to determine which piece of the function applies to x = 1.

Since 1 is greater than 0 and less than 2, the second piece of the function applies to x = 1, which is f(x) = -x².

Thus, f(1) = -(1)² = -1.

Therefore, the correct answer is f(1) = -1.

To learn more about functions from the given link:

https://brainly.com/question/12431044

#SPJ1

Pls help i need to pass

Answers

The total surface area of the square pyramid is 39 ft².

What is the total surface area?

The total surface area of a square pyramid can be determined by adding the area of the lateral surfaces and the base together.  A square pyramid has four lateral sides and one base.  

Total surface area= area of the base + area of the lateral sides

Area of the base = area of a square = length² = 3² = 9 ft²

Area of the lateral sides = 2 x base x height

2 x 3 x 5 = 30 ft²

Total surface area = 30 + 9 = 39 ft²

To learn more about total surface area, please check: https://brainly.com/question/16493393

#SPJ1

An inverse variation includes the points (5, 3) and (1, n). Find n.
Write and solve an inverse variation equation to find the answer.
n=
Submit

Answers

Answer:

n = 15

Step-by-step explanation:

the equation for inverse variation is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

to find k use the point (5, 3 ) , that is y = 3 when x = 5 , then

3 = [tex]\frac{k}{5}[/tex] ( multiply both sides by 5 )

15 = k

y = [tex]\frac{15}{x}[/tex] ← equation of variation

substitute (1, n ), that is x = 1, y = n into the equation

n = [tex]\frac{15}{1}[/tex] = 15

Drag the similar figure into the table. Angle measures are rounded to the nearest integer.

Answers

Triangle (B) is a comparable number that you must drag into the table.

What are angles?

An angle is formed when two straight lines or beams meet at a singular endpoint.

The intersection of two locations is known as the vertex of an arc.

The word "angle" is derived from the Latin word "angulus," which means "corner."

But there are some basic viewpoints.

Combining different shots greatly expands your camera options.

The most confusing of the five angles involves taking a scene from straight overhead.

So, the following:

Using the provided figure, we obtain:

A 60-degree equilateral triangle is depicted in the image.

And as can be seen in figure B, we obtain an equilateral triangle with a 60-degree inclination on each side.

Therefore, triangle (B) is a comparable number that you must drag into the table.

Know more about angles here:

brainly.com/question/25716982

#SPJ1

15. a = 3, b = 4, C = 40°
18. a = 6, b = 4, C = 60°
26. a=4, b=3, c=6


39. Dimensions of Home Plate The dimensions of home plate at any major league baseball stadium are shown. Find the area of home plate.

Answers

The area of this home plate is equal to 216.5 in².

How to determine the area of home plate?

In order to determine the area of home plate, we would have to apply the law of cosine:

C² = A² + B² - 2(A)(B)cosθ

Where:

A, B, and C represent the length of side or side length of a given triangle.

By substituting the given side lengths and angle into the law of cosine formula, we have the following;

C² = A² + B² - 2(A)(B)cosθ

17² = 12² + 12² - 2(12)(12)cosθ

284 = 144 + 144 - 288cosθ

1 = -288cosθ

cosθ = (-1/288)

θ = 90.199

For the area of home plate, we have:

Area of home plate = Area of rectangle + Area of triangle

Area of home plate = 17(8.5) + 1/2(12)(12)sin90.199

Area of home plate = 144.5 + 72(0.9999940)

Area of home plate = 216.5 in².

Read more on cosine here: brainly.com/question/11000638

#SPJ1

2477 how to make persantage please if you dont answer you are from ohio


Answers

247700% I think

I am from Ohio

Answer:

247700% I'm not sure

I'm not good I'm maths

Suppose a pendulum is L meters long. The time, f, in seconds that it takes to swing back and forth once is given by t=2.01 √L. If a pendulum is 13.69
meters long, how long does it take to swing back and forth once?
Round your answer to the nearest tenth.

Answers

Rounded to the nearest tenth, the approximate duration for one swing of a pendulum with a length of 13.69 meters is 7.7 seconds.

We are given that the time, t, in seconds it takes for a pendulum to swing back and forth once is given by:

t = 2.01√L

where L is the length of the pendulum in meters.

We are asked to find the time it takes for a pendulum of length 13.69 meters to swing back and forth once. So we can substitute L = 13.69 into the equation above to get:

t = 2.01√(13.69) ≈ 2.01 × 3.7 ≈ 7.7

Therefore, the time it takes for a pendulum of length 13.69 meters to swing back and forth once is approximately 7.7 seconds (rounded to the nearest tenth).

Learn more about pendulum here: brainly.com/question/31321342

#SPJ1

=
Divide.
O EXPONENTS AND POLYNOMIALS
Dividing a polynomial by a monomial: Multivariate
(12y'u²-32ysu+15y¹uº) ÷ (-4y²u³)
Simplify your answer as much as possible.
0
X
010
Ś

Answers

The simplified expression when a polynomial is divided by a monomial is [tex]y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2).[/tex]

What is factoring?

A polynomial expression can be represented as a product of other, smaller polynomial expressions through the algebraic process of factoring. The process of factoring can be used to simplify expressions and solve problems. A polynomial equation's roots can be found by factoring, as can the common factors in an expression that can be eliminated. Factoring occasionally enables us to spot trends and connections between several expressions.

Depending on the kind of polynomial and the degree of the terms involved, there are several ways to factor. S

For the given expression [tex](12y^7u^2-32y^5u^6+15y^7u^6) / (-4y^2u^5)[/tex] factor the common term.

[tex](12y^7u^2-32y^5u^6+15y^7u^6) / (-4y^2u^5)\\-4y^5u^2(3y^2 - 8u^4 - 3y^2u^4) / (-4y^2u^5)[/tex]

Cancelling the -4:

[tex]= y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2)[/tex]

Hence, the simplified expression is [tex]y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2).[/tex]

Learn more about factors here:

https://brainly.com/question/26923098

#SPJ1

At what rate of interest will a sum of 10,000 become 12,544 in 2 years if the interest is compounded annually

Answers

it is given that
Principal(P) = 10,000
Period (T)= 1 year
Sum amount (A)= 11200
Rate of interest =?
(i) We know that
Interest (1)= 11200-10000=1200
So the rate of interest
R= (1×100)/(PxT)
Substituting the values
R= (1200×100¥/(1000×1)
So we get
R= 12% p.a
Therefore, the rate of interest per annum is 12% p.a

The diameter of a cylindrical construction pipe is 3ft . If the pipe is 16ft long, what is its volume?

Answers

(I THINK I USED THE RIGHT CALCULATOR)

Answer: V≈113.1

Step-by-step explanation:

V=πr2h=π·1.52·16≈113.09734

Need help with HW question 5

Answers

The characteristic polynomial of A is λ³ - 4λ² - 3λ + 14. The eigenvalues of A are 2, 1, and 7.

What is rational root theorem?

According to the rational root theorem, p is a factor of the constant term and q is a factor of the leading coefficient if a polynomial with integer coefficients has a rational root of p/q, where p and q are integers without any shared factors. As the leading coefficient is 1 and the constant term is 14, the only potential rational roots in this situation are 1, 2, 7, and 14.

The characteristic polynomial of a matrix is given as

det(A - λI)

Here, λ is the eigen value.

det (A - λI)

[tex]\left[\begin{array}{ccc}1 - \lambda&0&1\\2&3 -\lambda&-1\\0&6& \lambda\end{array}\right][/tex]

Taking the determinant we have:

det(A - λI) = (1-λ)[(3-λ)(-λ) - (-1)(6)] - 0[2(-λ) - (-1)(0)] + (-1)[2(6) - (3-λ)(0)]

det(A - λI) = (1-λ)(λ² - 3λ - 6) - (-1)(12) = λ³ - 4λ² - 3λ + 14

Hence, the characteristic polynomial of A is λ³ - 4λ² - 3λ + 14.

The eigen values is the solution of the polynomial.

Using the rational roots of polynomial we have:

λ³ - 4λ² - 3λ + 14. factors as (λ-2)(λ-1)(λ-7)

Hence, the eigenvalues of A are 2, 1, and 7.

Learn more about rational root here:

https://brainly.com/question/18514997

#SPJ1

will give brainiest if correct and quick​

Answers

Answer: -2, 6

(-2)Because from 3a³ to (1)a³, it needs to subtract 2a³.

   (6)  Because from -5b³ to b³, it needs to add 6.

The graph shown here is the graph of which of the following rational functions?
O A. F(x) = 1/X2
O B. F(x) = 1/(x-2)(x+1)
O C. F(x) = 1(x+2)(x-1)

Answers

The equation of the rational function is F(x) = 1/(x-2)(x+1). Thus, the answer is B. F(x) = 1/(x-2)(x+1).

What is a rational function?

It is a type of function that can be expressed in the form f(x) = p(x) / q(x), where p(x) and q(x) are polynomials and q(x) is not equal to zero. Rational functions are used in various areas of mathematics, including calculus and algebra.

The graph of a rational function is the set of points which satisfy the equation of the rational function.

In this case, the equation of the rational function is F(x) = 1/(x-2)(x+1).

The graph of this function is a line which passes through the points (2, 0) and (-1, 0) and has a vertical asymptote at x = 0.

The graph of a rational function can be determined by finding the zeroes, vertical and horizontal asymptotes, and intercepts of the function.

The zeroes of F(x) = 1/(x-2)(x+1) are x = 2 and x = -1. The vertical asymptote is x = 0 and the horizontal asymptote is y = 0.

The intercepts are (2, 0) and (-1, 0).

The graph of F(x) = 1/(x-2)(x+1) is a line which passes through the points (2, 0) and (-1, 0) and has a vertical asymptote at x = 0.

This is different from the graph of F(x) = 1/X² which is a parabola and from the graph of F(x) = 1(x+2)(x-1) which is two lines intersecting at (2, 0) and (-1, 0).

Therefore, the correct answer is B. F(x) = 1/(x-2)(x+1).

For more questions related to asymptotes

https://brainly.com/question/4138300

#SPJ1

please help me i need to get these right

Answers

The value of x in the right angled triangle above is 7√3.

What is a right angle triangle?

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle. Therefore, this triangle is also called the right triangle or 90-degree triangle.

To calculate the value of x in the right angle triangle above, we use the formula below.

Formula:

tan∅ = opp./adj.

Where:

∅ = Included angle = 30°opp. = Opposite = 7adj. = Adjacent = xtan30° = 1/√3

Substitute these values into equation 1 and solve for x

tan30° = 7/xx = 7/tan30°x = 7/(1/√3)x = 7√3


Hence, the value of x is 7√3.

Learn more about right angled triangle here: https://brainly.com/question/25016594

#SPJ1

What is a rectangular prism?
A right rectangular prism is a box-shaped object, that is, a 3-dimensional solid which has six rectangular faces. Rectangular prisms can also be oblique - leaning to one side - but the side faces are parallelograms, not rectangles. A right rectangular prism is also called a cuboid, box, or rectangular hexahedron. Moreover, "rectangular prism" and "right rectangular prism" are often used interchangeably.

The most common math problems related to this solid are of the type right rectangular prism calc find V or find A, where the letters stand for the Volume and Area, respectively. Let's see the necessary rectangular prism formula and learn how to solve those problems quickly and easily.

How do I find the volume of a rectangular prism?
The rectangular prism volume formula is:

volume = h × w × l,

where h is prism height, w is its width, and l is its length. To calculate the volume of a cardboard box:

Find the box length. For example, it can be equal to 18 in.
Determine its width. Let's say you measured 12 in.
Find out the rectangular prism height. Assume it's 15 in.
Calculate the cuboid volume. Using the rectangular prism volume formula above, we get volume = (18 × 12 × 15) in = 3240 in³.
How do I find the area of a rectangular prism?
The surface area of the cuboid consists of 6 faces - three pairs of parallel rectangles. To find the rectangular prism surface area, add the areas of all faces:

surface_area = 2 × (h × w) + 2 × (h × l) + 2 × (l × w) = 2 × (h × w + h × l + l × w),

where h is prism height, w is its width, and l is its length.

Let's see an example of how to solve the right rectangular prism calc - find A problem. We'll come back to our example with the box and calculate its surface area:

Calculate the rectangular prism surface area. First rectangle area is 15in × 12in = 180in², second 15in × 18in = 270in² and third one 18in × 12in = 216in². Add all three rectangles' areas - it's equal to 666 in² (what a number!) - and finally multiply by 2. The surface area of our cardboard box is 1332in².
Or save yourself some time and use our rectangular prism calculator.
Finally, let's attack the right rectangular prism calc find d (that is, the diagonal) type of problem.

How do I calculate the diagonal of a rectangular prism?
To determine the diagonal of a rectangular prism, apply the formula:

diagonal = √(l² + h² + w²)

where h is prism height, w is its width, and l is its length.

Do you have the feeling that you saw the formula before? Yes, that's possible because this equation resembles the famous one from the Pythagorean theorem.

How to calculate volumes of the other solids?
That rectangular prism was a piece of cake! If you are amazed at how easily you can calculate the volume with our tool, try out the other volume calculators:

triangular prism calculator
cylinder volume calculator
sphere volume calculator
cone volume calculator
pyramid volume calculator

Answers

Answer: A A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same.

Other Questions
which type of pay structure is feasible if all jobs are benchmark jobs and direct matches can be found in the market?which type of pay structure is feasible if all jobs are benchmark jobs and direct matches can be found in the market?market-based pay systemcompetency-based pay systemskill-based pay systemgain-sharing A professor would like to use a 97% confidence interval to estimate the mean amount of time IRSC studentsspend studying each week. The professor knows that distribution of time spent studying each week by IRSCstudents is normally distributed with a standard deviation of 14.9 hours.How large a sample should the professor select to ensure the confidence interval has a width of no morethan 1.7 hours. Round the solution up to the nearest whole number.n= Summarize what the differences in cytochrome C sequencing tells us about our evolutionary ancestry. How many amino acid differences between a rat and a fruit fly? Human and a yeast cell? how electrons remain in pairs form however they contain similar charge A company that teaches self-improvement seminars is holding one of its seminars in Wildgrove. The company pays a flat fee of $164 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $8 to purchase books and supplies. Each attendee will pay $49 for the seminar. Once a certain number of attendee register, the company will be breaking even. How many attendees will that take? What will be the company's total expenses and revenues? one paycheck is $250 less than another. The sum of the two checks is &1628. how much is each check written for.? What is the diameter of a hemisphere with a volume of 62617 cm, to the nearest tenth of a centimeter? COLLABORATE: Write your answers to the following questions about the image in Figure 2. Compare yours answers with a partner, and write down any new information that you had not previously recorded.1. What patterns do you observe?2. How many chromosomes do human body cells have?3. What differences do you see among the different pairs of chromosomes and the chromosomes within a pair? you own 20% of the stock of a company that has 10 directors on its board. how much representation can you get on the board if the company has cumulative voting? how much representation can you ensure if the company has straight voting? All of the following represent challenges associated with using seawater as a source of freshwater EXCEPT:Question 3 options:waiting for the water cycle to create freshwater from saltwater takes too longdesalination is an expensive processsaltwater intrusion pollutes aquifersonly coastal areas will have this as an economically sustainable option construct a rectangle ABCD with AB =6cm and diagonal BD= 7cm a person is on a motoboat that is capable of a maximum speed of 10 km/h in still water, and wishes to cross a 2 km wide river to a point directly across from the starting point. if the speed of the water in the river is 6 km/h, how much time is required for the crossing, assuming the boat is moving at its maximum speed? What is the name for different forms of a gene?Earlobes can be either attached or detached. The allele for attached earlobes is recessive (e), and the allele for detached earlobes is dominant (E). What must be true if a boy is born with detached earlobes? Which of the following types of evidence, if added to the third paragraph (sentences 11-13), would most effectively support the conclusion reached by the researchers?ResponsesAnecdotal evidence about how the researchers were able to establish cordial relationships with people living near EleuthernaAnecdotal evidence about how the researchers were able to establish cordial relationships with people living near EleuthernaPersonal observations by the researchers regarding how they were able to convince the female ceramicist to model for themPersonal observations by the researchers regarding how they were able to convince the female ceramicist to model for themExpert opinion regarding the quality of the most important collections of large vases from ancient GreeceExpert opinion regarding the quality of the most important collections of large vases from ancient GreeceStatistics showing how many pottery makers live in the vicinity of Eleutherna and how many of them are womenStatistics showing how many pottery makers live in the vicinity of Eleutherna and how many of them are womenDetails about the mechanics of pottery making to show exactly how the craft would have caused the worn cartilage in the Eleutherna skeletonAncient Ceramicist1) Except for the professional opportunities archaeology affords and the state-of-the-art technologies that archaeologists use, many people might assume that archaeology has little to do with the present. (2) After all, archaeology is the study of human history. (3) A recent finding at Eleutherna, the site of an ancient Greek city on Crete, provides a striking example: unearthing the skeleton of a woman, archaeologists struggled to interpret the unusual signs of strain on the bones until they watched a local craftswoman at work. (4) The archaeologists interpretation not only challenges popular assumptions about archaeology, but it also forces archaeologists to reexamine their assumptions about womens work in ancient Greece.(5) Eleutherna researchers discovered the skeleton in 2009. (6) Preliminary analysis determined that the approximately 50-year-old woman lived between 900 and 650 BCE. (7) Examining her remains, the archaeologists eyeballed something truly wacky: unlike the cartilage of other female specimens at the site, the cartilage on the upper right side of the skeletons body and on the right-hip and knee joints was almost completely worn away. (8) This anomaly signified that the woman must have engaged in a long-term strenuous activity involving the right side of her body. (9) Seeking more exact information, the researchers drew on their assumptions about the kinds of work women performed in ancient Greece. (10) Deploying skeletal models, the archaeologists tried bread-baking, weaving, harvesting, etc.but to no avail.(11) Wondering if the present could unlock the past, the archaeologists spent several years observing people near Eleutherna who performed tasks similar to those the ancient Greeks would have performed. (12) Success came in 2018 when a female ceramicist modeled her work for the researchers. (13) Analyzing her movements as she worked on large vases and listening to her detail the physical toll of the work, the team was convinced that the ancient Eleuthernan woman whose skeleton it was studying must have been a potter, a guess later confirmed by medical imaging and further anatomical modeling.(14) The woman was not just a ceramicist, though. (15) The extent of wear on her remains indicates that she was a master ceramicist. (16) Archaeologists had long assumed that professional pottery making was the exclusive province of males in ancient Greece. (17) The Eleutherna researchers, supplementing Greeces archaeological discoveries, acknowledge that they have more to learn. why does the speaker think the mouse is fortunate? it has a brief attention span. it has the ability to plan ahead. it does not experience true fear. it is only concerned with the present. why were the Incas known for their building? Solve the following quadratic function by utilizing the square root method.Simplify your answer completely.f(x) = 252-81 what is cell division nurse is caring for patient who is reciving diphenhydramnine has not vided for 12 hours what action what are the two primary issues to address when ascertaining whether the context is appropriate for upholding a waiver ?