According to your graphing calculator what is the approximate solution to the trigonometric inequality tan(x/4)<1/5 over the interval 0<= x<=2pi radians 
0<=x<0.7896
0<=x<0.9799
0<=x<0.9870
0<=x<1.2249

Answers

Answer 1

The graph of tan(x/4) < 1/5 over the interval 0<= x<=2pi radians is attached. An approximate solution to the trigonometric inequality tan(x/4)<1/5 over the interval 0<= x<=2pi radians is 0 <= x < 0.7896.

y = 1/5 is a horizontal straight line parallel to x-axis.

Plot of tan(x/4)<1/5 over the interval 0<= x<=2pi radians is attached. The shaded region is the solution.

tan(x/4) < 1/5

Taking tan inverse on both sides

tan⁻¹(tan(x/4)) < tan⁻¹(1/5)

x/ 4 <  tan⁻¹(1/5)

Multiplying by 4 on both sides

x < 4tan⁻¹(1/5)

x < 0.7896

Applying the limits of intervals

0 <= x <= 2pi ≈ 6.28

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According To Your Graphing Calculator What Is The Approximate Solution To The Trigonometric Inequality

Related Questions

What is the circumference of a
circle with a radius of 2.09 in

Answers

you do 2.09x2 to get the diameter then times that by pi to get 13.13 to 2 decimal places

Answer:

The circumference formula is C=3.14d

Step-by-step explanation:

To find the diameter with the radius you need to multiply 2.09 x 2.

Now you have 4.18, this is your diameter, you're now going to multiply 4.18 with pi, which is typically 3.14, if it's not that it's 22/7.

Your answer would be 13.12

HELP PLZ PLZ PLZZZZ I WILL MARK BRAINLYLIESF!!!!!!

Answers

Answer:

150.8

Step-by-step explanation:

The formula for soving cylinder is V=Bh or V=πr2hmso if you plug that in you should get this answer like I did.

Which values of h make the relation {(-2,3), (4,7), (9, h)} a function?

Answers

Answer:

h can be any value.

Step-by-step explanation:

As long as each input as exactly one output, the value of h does not matter.

Please help!! I don't get it!

Answers

Answer:

64 times 7.5 and you will get your answer

Step-by-step explanation:

16*4=64

64*7.5=x

x is what you need to find

O conjunto A é formado pelos números inteiros maiores que -5 e menores que 8. Marque a alternativa que representa esse conjunto



Alguém sabe a resposta dessas 2 questão?

Answers

Answer:

A opção 2. Para um número ser maior que -5,basta ele está mais perto do 0,na reta numérica.

Espero ter lhe ajudado!

In the right triangle below b = 18 and c = 20, solve for a in simplified radical form.

Answers

Answer:

a = 2 radical 19

Step-by-step explanation:

a^2 + 18^2 = 20^2

a^2 + 324 = 400

subtract 324 from both sides

a^2 = 76

square root both sides

a = radical 76

simplify radical to get 2 radical 19

Mrs. Campos is making cupcakes for a bake sale. She uses the equation c = 0. 55x to determine the cost, c, for x cupcakes. Which best represents the constant rate at which cupcakes are sold at the bake sale?


55 cupcakes per dollar


$0. 55 per cupcake


$4 per cupcake


4 cupcakes per dollar

Answers

Best represents the constant rate at which cupcakes are sold at the bake sale $0. 55 per cupcake

Mrs. Campos is making cupcakes for a bake sale. She uses the equation c = 0. 55x to determine the cost, c, for x cupcakes. Which best represents the constant rate at which cupcakes are sold at the bake sale?

55 cupcakes per dollar

$0. 55 per cupcake

$4 per cupcake

c = 0. 55x

to determine the cost, c,

for x cupcakes.

CASE 1

55 cupcakes per dollar

therefor x = 55

c = 0. 55x

c = 0. 55 × 55

 = 30.25

case2

$0. 55 per cupcake

x = 1

c = 0. 55x

c = 0. 55 × 1

   =  0. 55

case 3

$4 per cupcake

x = 1

c = 0. 55x

c = 0. 55 × 1

   =  0. 55

therefor conclusion is best represents the constant rate at which cupcakes are sold at the bake sale $0. 55 per cupcake

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Graph the line with slope -8 and y-intercept 9.

Answers

Answer:

the coordinates will be (0,9) (-8,0) and the equation will be y=(9/8x)+9

Step-by-step explanation:

Im not 100% sure but if im right please mark me as brainliest

Helppp please!!!!!!!!!!!

Answers

Answer:

C.

Step-by-step explanation:

If y=-3, then you substitute -3 into the equation every place that there is y, making it 4+(-3)/4(-3). This simplifies into 4-3/-12 which is 1/-12 or -1/12

Is the y-intercept 0 or 1?

Answers

Coordinate (0,1) of y-intercept implies that a line or curve cross the Y axis

at 1.

What is y-intercept?

The location of a point on the cartesian coordinate plane where a straight line or curve line as well as a plane crosses the Y axis is called Y-intercept. The coordinate of y-intercept is expressed as (0, y). This y value is y-intercept. The X coordinate of y intercept is zero.

In case of an equation of line while writing in slope-intercept form it is denoted by b such as y = mx+ b

in the above equation, b is y-intercept and m is the slope.

What means y-intercept (0, 1)?

The y -intercept given by coordinate (0, 1) defines that a straight-line or curve line cross the Y axis at 1. The x coordinate of y -intercept is always zero because over the Y axis there is no value of X.

The y-intercept can have negative or positive value.

Suppose we have an equation of line 4x + 8y + 10 = 0

                                we will write it in a slope-intercept form

                                     8y = -4x - 10

                                     y = - 4x/8 - 10/8

                                    y = -1/2x - 5/4

In the above equation - 5/4 or -1.25 is the y-intercept that means the line crosses the Y-axis at -1.25

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suppose you and three friends are each dealt 13 cards from a shuffled deck, and you observe that you were dealt a single ace; what is then the probably that your three friends also each have an ace

Answers

The probability of each of your three friends having an ace is 32%.

The probability of each of your three friends having an ace is calculated using the Binomial Probability Formula. The formula is P(x) = nCr * p^x * (1-p)^(n-x). Here, n = 13 (number of cards dealt to each person) , r = 1 (number of aces you want to calculate the probability of), p = 4/52 (probability of getting an ace from a deck of 52 cards) and x = 1 (number of aces each of your three friends have).

Therefore, the probability of each of your three friends having an ace is P(x) = 13C1 * (4/52)^1 * (48/52)^(13-1) = 0.32.

This means that the probability of each of your three friends having an ace is 32%.

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Condense the following logarithmic expression.
2 ln(x) + 5 ln(y) - 7 ln(z) - In (5)
Answer:

Answers

Answer:

  ln(x²y⁵/(5z⁷))

Step-by-step explanation:

You want to condense the logarithmic expression 2 ln(x) + 5 ln(y) - 7 ln(z) - In (5).

Rules of logarithms

The relevant rules of logarithms are ...

  a·ln(b) = ln(b^a)

  ln(ab) = ln(a) +ln(b)

  ln(a/b) = ln(a) -ln(b)

Application

  [tex]2\ln{(x)}+5\ln{(y)}-7\ln{(z)}-\ln{(5)}=\boxed{\ln\left(\dfrac{x^2y^5}{5z^7}\right)}[/tex]

Reggie made a scale drawing of a house. In real life, the garage is 3 meters wide. It is 6 millimeters wide in the drawing. What is the drawing's scale factor?

Answers

Answer:

1:50

Step-by-step explanation:

The drawing's scale factor is

1:50

Explanation:

In drawing, width of the garage is 6 cm and in actual width of the garage is 3m or 3×100=300 cm.

Hence, the drawing's scale factor is 6:300 and dividing by 6, it is 1:50

You are playing a game in which you randomly select one square tile and one round tile from the sets shown below. Before you select your tiles, you try to guess which combination you will pick.
20 green square tiles, 9 red square tiles, 16 pink square tiles, 10 yellow square tiles, 5 blue square tiles.Circle tiles: 5 purple, 6 orange, 10 blue, 1 white, 2 yellow, 4 red, 5 black, 3 green.
Of the four possible guesses listed below, which one will give you the greatest chance of success?
a.
green square tile and red round tile
b.
pink square tile and orange or yellow round tile
c.
red or blue square tile and black or green round tile
d.
blue square tile and blue or purple or white round tile

Answers

Answer:

b

Step-by-step explanation:

From the four possible guesses listed below, for the Terrence the highest chance of success is selecting black or pink square tile and blue or green round tile.

What is chain rule in probability?

In probability theory, the chain rule describes how to calculate the probability of the intersection of, not necessarily independent, events or the joint distribution of random variables respectively, using conditional probabilities.

For two events A and B, by chain rule, we have:

P(A∩B) = P(B) P(A|B) = P(A) P(B|A)

Here P(A|B) is probability of occurrence of A given that B already occurred.

here, we have,

Terrence is playing a game in which he will randomly select one square tile and one round tile from the tile sets shown below.

Before he does so, he tries to guess which tiles he will draw.

Square tiles: 12 blue, 20 yellow, 8 red, 6 green, 4 pink, 5 black, 3 brown, 2 white, total 60.

Round tiles: 9 black, 4 green, 3 yellow, 2 white, 6 blue, 12 red, total 36.

Here, the event of choosing round tile and square tile is independent to each other.

a. black or pink square tile and blue or green round tile

The chance of black or pink square tile and blue or green round tile is,

P_1 = 0.65

b. yellow square tile and yellow round tile

The chance of yellow square tile and yellow round tile is,

P_2 = 0.42

c. green, brown, or white square tile and black or white round tile

The chance of green, brown, or white square tile and black or white round tile is,

P_3 = 0.49

d. red square tile and red or white round tile

The chance of red square tile and red or white round tile is,

P_4 = 0.52

Thus, from the four possible guesses listed below, for the Terrence the highest chance of success is selecting black or pink square tile and blue or green round tile.

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Reduce 22/154

to its lowest form.

Answers

22/154=11/77=1/7

1/7 is the lowest form

PLEASE HELP! :/

The work of a student to solve the equation 4(3x − 4) = 8 + 4x + 8 is shown below:
Step 1. 4(3x − 4) = 8 + 4x + 8
Step 2. 7x − 8 = 16 + 4x
Step 3. 7x − 4x = 16 + 8
Step 4. 3x = 24
Step 5. x = 8


In which step did the student first make an error and what is the correct step?
A. Step 2, 12x − 16 = 16 + 4x
B. Step 2, 12x − 8 = 2(4 + 2x + 4)
C. Step 3, 7x − 4x = 16 − 8
D. Step 3, 7x + 4x = 16 + 8

Answers

Answer:

A

Step-by-step explanation:

4 times 3 and-4 is 12x and -16 not 7 and -8.

the perimeter of the trapezoid is 18x +18 find the missing length of the lower base
PLEASE HURRY

Answers

Answer:

Step-by-step explanation:

8x+18=2x+x+4x-3

8x+18=7x-3

perimeter = x+21

Please I need the 3 of them

Answers

The following operations are used to transform the quadratic equation y = x² into parabolas in standard form:

Case 1

Horizontal translation, vertical translation. Horizontal stretch.

Case 2

Horizontal translation, vertical translation. Reflection in the x-axis, vertical stretch.

Case 3

Horizontal translation, vertical translation. Horizontal stretch.

How to determine the magnitude of horizontal and vertical translations for quadratic equations

In this question we find three cases of parabolas in standard form, that is, quadratic equations of the form:

y - k = a · (x - h)²

Where:

a - Vertex constant(h, k) - Coordinates of the vertex.

This parabola is translated both horizontally and vertically by using the following definitions:

Horizontal translation

x → x - a, where a > 0 for rightward translation.

Vertical translation

y → y - b, where b > 0 for upward translation.

Horizontal dilation

f(x) → f(k · x), where k is a non-negative real number.

Vertical dilation

f(x) → k · f(x), where k is a non-negative real number.

Reflection in the x-axis

f(x) → - f(x)

The procedure is summarize below:

Write the original function, that is, the equation of the parabola with vertex at origin.Apply dilation, translation and reflection definitions.

Finally, we summarize the procedure for each case:

Case 1

g(x) = x²

g(x) = [(1 / 2) · x²]

g(x) + 4 = [(1 / 2) · (x - 2)]²

Horizontal shift: 2 units right, vertical shift: 4 units down. Horizontal stretch.

Case 2

f(x) = x²

f(x) = - (1 / 2) · x²

f(x) - 2 = - (1 / 2) · (x - 4)²

Horizontal shift: 4 units right, vertical shift: 2 units down. Reflection in the x-axis, vertical stretch.

Case 3

h(x) = x²

h(x) = 2 · x²

h(x) - 5 = [2 · (x + 2)]²

Horizontal shift: 2 units left, vertical shift: 5 units up. Horizontal stretch.

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HELPPP 1. Write an equation of the ellipse with foci (0,14) and co-vertices at (±4,0).

Answers

The equation of the ellipse with foci (0,14) and co-vertices at (±4,0) is [tex]x^2/16+y^2/36[/tex].

Define ellipse.

An ellipse is a geometric shape that is defined as the set of points such that the sum of the distances between the points and two fixed points (foci) is constant. It is a type of conic section and is defined by the equation:

[tex](x^2/a^2) + (y^2/b^2) = 1[/tex]

Where a and b are the semi-major and semi-minor axes, respectively. An ellipse can also be defined as the shape that results from the intersection of a plane and a cone at an angle that is not perpendicular to the base of the cone.

[tex]c=14, b=4, a²=b²+c²== > a=2√9\\x^2/b^2 + y^2/a^2\\x^2/16+y^2/36[/tex]

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What is the value FG?

Answers

FG is not a defined term, so there is no way to determine its value.

FG is not a defined term, so there is no way to determine its value. This means that we cannot assign a numerical or other value to it. In order to determine the value of FG, we would first need to identify the context in which it is being used, as different contexts may assign different meanings to the same term. Once the context has been established, we can then look up the definition of FG in order to understand what it means in that particular context, and then assign a value to it accordingly. For example, if FG stands for "Frequency Generator" in a physics context, then it would likely have a numerical value associated with it.

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what is k if 1 1/3k=1/3

Answers

Answer: k = 11

Step-by-step explanation:

[tex]\frac{11}{3k} = \frac{1}{3} \\\\[/tex]

Cross multiply:

[tex]11 * 3 = 1*3k[/tex]

[tex]33 = 3k[/tex]

[tex]k = 11[/tex]

Ron's car uses 12 L of gasoline per 100 km of highway driving. Asma's car as 5/6 as much fuel. How much fuel does Asma's car use per 100 km of highway driving?

Answers

10L  fuel does Asma's car use per 100 km of highway driving

In this question, we have to use the unitary method

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

What is a unitary in math?

a unitary state. (mathematics, of an algebra) That contains an identity element. (mathematics, linear algebra, mathematical analysis, of a matrix or operator) Whose inverse is equal to its adjoint.

So from the unitary method, we can solve it

12 L of gasoline per 100 km

so for 5/6

12 L * 5/6

= 10 L

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Angle J and Angle M are base angles of isosceles trapezoid JKLM. If angle j= 23x+5, and angle m = 13x+15 , find measure k .

Answers

The angle K for the Isosceles trapezoid is a supplementary angle to the angle J and the measure of angle K = 152°

What is an Isosceles trapezoid

This is a trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal. The opposite angles are supplementary which implies they sum up to 180°.

angle J and angle M are base angles for the Isosceles trapezoid and are equal, so:

23x + 5 = 13x + 15

23x - 13x = 15 - 5 {collect like terms}

10x = 10 {divide through by 10}

x = 1

angle J = 23(1) + 5 = 28°

Angle K and angle J are supplementary so:

K = 180 - 28

K = 152°

Therefore, the measure of the angle K for the Isosceles trapezoid JKLM is equal to 152°

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can someone please help meee

Answers

Answer:

(-7,1)

Step-by-step explanation:

The vertex of a parabola is the maximum or minimum point on the graph. On this point, the maximum is at (-7,1).

Plz, solve the question below! 20 pts!

Answers

Answer:

your answer would be c.

hope this helps (ツ)

In a class of 48 students, 24 of them do Arts, 22 do Chemistry and 20 do Biology. All the students do at least one of the three subjects. 3 do all three subjects while 4 do Arts and Biology only, 3 do Arts and Chemistry only and 5 do Chemistry and Biology only. Find the number of numbers of students that do two subjects only exactly one subject at least two of the subjects Represent the information on a complete Venn diagram.

Answers

Number of students that do two subjects are 12.

Number of students that do only exactly one subject are;

For Art;

⇒ 14

For Chemistry;

⇒ 11

For Bio;

⇒ 8

Number of students that do at least two of the subjects are 15.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

In a class of 48 students, 24 of them do Arts, 22 do Chemistry and 20 do Biology.

All the students do at least one of the three subjects.

3 do all three subjects while 4 do Arts and Biology only, 3 do Arts and Chemistry only and 5 do Chemistry and Biology only.

Here,

Total students = 48

So, Number of students that do two subjects are = 4 + 3 + 5

                                                                            = 12

And, Number of students that do only exactly one subject are;

For Art;

⇒ 24 - (3 + 4 + 3)

⇒ 14

For Chemistry;

⇒ 22 - (3 + 5 + 3)

⇒ 11

For Bio;

⇒ 20 - (3 + 4 + 5)

⇒ 8

Number of students that do at least two of the subjects are;

⇒ 3 + 3 + 4 + 5

⇒ 15

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Find the volume of the pyramid. Write your answer as a fraction or mixed number. ft3

Answers

Answer:

Volume of pyramid = [tex]1\frac{1}{3}[/tex] feet³

Step-by-step explanation:

Given:

Length of base = 2 feet

Width of base = 1 feet

Height of pyramid = 2 feet

Find:

Volume of pyramid

Computation:

Area of base = Length x Width

Area of base = 2 x 1

Area of base = 2 feet²

Volume of pyramid = (1/3)(A)(h)

Volume of pyramid = (1/3)(2)(2)

Volume of pyramid = (1/3)(4)

Volume of pyramid = 4/3

Volume of pyramid = [tex]1\frac{1}{3}[/tex] feet³

Jasmine has $26 to spend on binders and one pack of pens. The pack of pens costs $4. 75. Each binder costs $5. Write an inequality to determine the maximum number of binders she can buy, (Define your variable. )

Answers

Jasmine can buy a average of 4 binders because the cost of the binders, multiplied by the number of binders she wants to buy, plus the cost of the pens, must not exceed her total budget of $26.

Step 1: Define the variable. Let x represent the number of binders Jasmine can buy.

Step 2: Write the inequality. 5x + 4.75 ≤ 26

Step 3: Solve the inequality. 5x ≤ 21.25

Step 4: Isolate the variable. x ≤ 4.25

Step 5: The maximum number of binders Jasmine can buy is 4.

Let x represent the number of binders Jasmine can buy

5x + 4.75 ≤ 26

5x ≤ 21.25

x ≤ 4.25

Jasmine has a total of $26 to spend on binders and one pack of pens. The cost of the pens is $4.75, and each binder costs $5. To determine the maximum number of binders she can buy. The inequality we need to solve is 5x + 4.75 ≤ 26. We can solve this inequality by first multiplying both sides of the equation by 5, which gives us 5x ≤ 21.25. We can then isolate the variable by dividing both sides of the equation by 5, which gives us x ≤ 4.25. This means that the maximum number of binders Jasmine can buy is 4.

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the length breadth and height of a cuboid are in the ratio 7:5:2 its volume is 35840cm³

Answers

[tex] \longmapsto \: 7x + 5x + 2x = 35820 \\ \\ x = \frac{35840}{14} = 2560[/tex] length equals to 7 into 2560 = 1792

Mhanifa please help! This is due tomorrow

Answers

Answer:

Use Pythagorean to confirm:

a² + b² = c²#43.1² + 1.6² = 12.173.4² = 11.5612.17 ≠ 11.56No#5√7² + (2√3)² = 7 + 12 = 19√19² = 1919 = 19Yes#636² + 15² = 152139² = 15211521 = 1521Yes
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