A museum groundskeeper is creating a semicircular statuary garden with a diameter of 26 feet. There will be a fence around the garden. The fencing costs $9. 75 per linear foot. About how much will the fencing cost altogether? Round to the nearest hundredth. Use 3. 14 for π

Answers

Answer 1

The cost of fencing for the semicircular statuary garden is $651.99.

Finding the circumference of the full circle:
C = πd, where d is the diameter.
C = 3.14 × 26
C ≈ 81.64 feet

Since it's a semicircular garden, dividing the circumference by 2:
Semi-circular perimeter = 81.64 ÷ 2
Semi-circular perimeter ≈ 40.82 feet

Now, Adding the diameter to the semi-circular perimeter to get the total fence length:
Total fence length = 40.82 + 26
Total fence length ≈ 66.82 feet

Then, Calculating the total cost of fencing:
Cost = Total fence length × Cost per linear foot
Cost = 66.82 × $9.75
Cost ≈ $651.99

So, the cost of fencing the semicircular statuary garden will be approximately $651.99.

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Related Questions

Se van a repartir $10000 entre 3 personas de tal forma q la primera recibe $900 mas q la segunda y esta $200 mas q la tercera.La persona más beneficiada recibe en total: a- $4600. b- $4400. c- $4200. d- $4000

Answers

Answer:

The answer is A

Step-by-step explanation:

Consider the following. u = (5, -9, -5), v = (-7, -4, 3) (a) Find the projection of u onto v

Answers

Projection of vector u onto vector v is approximately (1.33, 0.76, -0.57).

How to find the projection of vector u onto vector v?

We'll use the following formula:

projection of u onto v = (u•v / ||v||²) * v

First, we need to calculate the dot product (u•v) and the magnitude squared (||v||²) of vector v.

1. Dot product (u•v):
u•v = (5 * -7) + (-9 * -4) + (-5 * 3) = -35 + 36 - 15 = -14

2. Magnitude squared (||v||²):
||v||^2 = (-7)² + (-4)² + (3)² = 49 + 16 + 9 = 74

Now, we'll plug these values into the projection formula:

projection of u onto v = (-14 / 74) * v

We'll multiply each component of vector v by the scalar (-14/74):

projection of u onto v = (-14/74) * (-7, -4, 3) = (1.33, 0.76, -0.57)

So, the projection of vector u onto vector v is approximately (1.33, 0.76, -0.57).

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Graph


y=4x−9y, equals, 4, x, minus, 9.

Answers

The line crosses the y-axis at -9 and has a slope of 4, meaning it increases 4 units in the y-direction for every 1 unit increase in the x-direction.

What is graph?

A graph is a visual representation of data, typically involving the use of points, lines, and curves to show how different values are related to each other. Graphs can be used to display a wide range of information, from mathematical functions and scientific data to business trends and social networks.

Here,

To graph y = 4x - 9, we can start by plotting the y-intercept, which is -9 on the y-axis. Then, we can use the slope of 4 to find other points on the line.

Slope = 4 can be written as rise/run = 4/1. This means that for every increase of 1 in the x-direction, the y-value increases by 4.

Starting from the y-intercept (-9,0), we can go up 4 units and to the right 1 unit to get the point (1,-5). We can continue this pattern and plot more points on the line, or we can simply draw a straight line through the y-intercept and (1,-5) to represent the equation y = 4x - 9.

Here's what the graph looks like:

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Suppose that, using the simulation in Exercise 4 (Connections), you devise a patch configuration using stepping stones. In your first simulation run, you set the leave prairie probability to 0. 9 and turn probability in non-prairie to zero. You run the simulation once, with no fires. The simulated butterfly population size after 100 weeks increases from 25 to 132. What does this result tell you about the real-world Fender's blue butterfly population

Answers

The result should be interpreted with caution and cannot be directly extrapolated to the real-world Fender's blue butterfly populations, and the simulation does not take these factors into account.

Find out the result tell you about Fenders blue butterfly population?

The result of the simulation suggests that in a hypothetical scenario where the Fender's blue butterfly population is restricted to stepping stones, and the leave prairie probability is set to 0.9, the population is likely to increase over time. However, it is important to note that the simulation represents an idealized scenario and may not reflect the complexity of real-world butterfly populations.

Furthermore, the absence of fires in the simulation may not reflect the natural habitat of Fender's blue butterfly, as fire is a crucial factor in maintaining prairie habitats. In the real world, fire suppression and habitat fragmentation are major threats to the survival of Fender's blue butterfly populations, and the simulation does not take these factors into account.

In summary, while the simulation result may provide insights into the potential effectiveness of using stepping stones to conserve butterfly populations, it should be interpreted with caution and cannot be directly extrapolated to the real-world Fender's blue butterfly population. Further research and monitoring of butterfly populations in their natural habitats are necessary to fully understand their dynamics and inform conservation efforts.

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Find x.
Please help thank you

Answers

i’m pretty sure the answer is 58

PLEASE HELP ME IMMEDIATELY!!!!!

Answers

The intervals where f is decreasing are given as follows:

None of the above.

When a function is increasing and when it is decreasing, looking at it's graph?

Looking at the graph, we get that a function f(x) is increasing when it is "moving northeast", that is, to the right and up on the graph, meaning that when the input variable represented x increases, the output variable represented  by y also increases.Looking at the graph, we get that a function f(x) is decreasing when it is "moving southeast", that is, to the right and down the graph, meaning that when the input variable represented by x increases, the output variable represented by y decreases.

Hence the decreasing intervals of the function are given as follows:

-3.5 < x < -1.x > 2.5.

Which are none of the options given in the problem.

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A teacher conducts a survey of 50 randomly selected 6th grade and 50 randomly selected 7th grade students. The survey asks the students about the type of books they like to read. The table shows the number of students who selected each type of book

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In a school, a teacher surveys 50 randomly selected 6th grade students and 50 randomly selected 7th grade students. c) More seventh-graders than sixth-graders enjoy horror films.

The first statement is false as the total 6th graders which like horror and comedy movie is 19 + 9 = 28 students which is more than 6th graders who like action movies which is 22, hence the first statement is false. this is interpreted from given data set.

The second statement is also false as it says that 6th graders prefer comedy films to action films, whereas 7th graders prefer action films but from the data given, it can be seen that the number of 6th graders who like comedy films is same as the number of 7th graders who like action movies which is 19, hence statement is false.

The third statement is true as 6th graders who like horror movies is 9 while 7th graders who like horror movies is 14 and hence, the statement is true.

Fourth statement is also false as 17, 7th graders like comedy movies in contrast to 14, 7th graders who like horror movies.

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Correct question:

A teacher conducts a survey of 50 randomly selected 6th grade and 50 randomly selected 7th grade students in a school. The survey asks the students about the type of movies they like to watch. The table shows the number of students who selected each type of movie. Select the correct statement.

a) 6th graders like action movies more than horror and comedy movies.

b) 6th graders like comedy movies more than 7th graders like action movies.

c) More 7th graders than 6th graders like horror movies.

d) 7th graders like horror movies more than comedy movies.

Prove the following trigonometric identities
csc x - sin x - cosx cos x

Answers

To prove the trigonometric identity csc(x) - sin(x) - cos(x)cos(x), we will start by simplifying the left-hand side of the equation using trigonometric definitions and identities.

Recall that csc(x) = 1/sin(x). We will use this definition to rewrite the left-hand side of the equation:

1/sin(x) - sin(x) - cos(x)cos(x)

Now, we will find a common denominator for the terms in the equation. In this case, the common denominator is sin(x). To do this, we will multiply sin(x) to the second term:

(1 - sin^2(x) - cos(x)cos(x)sin(x)) / sin(x)

Next, we will use the Pythagorean identity sin^2(x) + cos^2(x) = 1 to replace sin^2(x) in the expression:

(1 - (1 - cos^2(x)) - cos(x)cos(x)sin(x)) / sin(x)

Simplifying the expression, we get:

(cos^2(x) - cos(x)cos(x)sin(x)) / sin(x)

Now, we can factor out cos(x) from the numerator:

cos(x)(cos(x) - sin(x)) / sin(x)

This expression is equivalent to the given identity, so we have proven the trigonometric identity:

csc(x) - sin(x) - cos(x)cos(x) = cos(x)(cos(x) - sin(x)) / sin(x)

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The experimental probability that Anna can throw a football
through a hoop is 60%. How many throws out of 20 can Anna
predict she will make?
O 18
O 12
O14
O 10

Answers

Answer:

12

Step-by-step explanation

60/100 to get the probability of success

0.6 * 20 attempts = 12

A local amusement park found that if the admission was $7, about 1000 customers per day were admitted. When the admission was dropped to $6, the park had about 1200 customers per day. Assuming a linear demand function, determine the admission price that will yield maximum revenue.

Answers

The admission price that will yield maximum revenue is $6.

To determine the admission price that will yield maximum revenue, we'll first find the linear demand function using the given data points: ($7, 1000) and ($6, 1200).

Let x represent the admission price and y represent the number of customers per day. We can calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the given data points:

m = (1200 - 1000) / (6 - 7) = 200 / (-1) = -200

Now, we have the slope and a point, so we can use the point-slope form to find the linear demand function:

y - y1 = m(x - x1)

Using the point ($7, 1000):

y - 1000 = -200(x - 7)

Now, let's rewrite the equation to the slope-intercept form (y = mx + b):

y = -200x + 2400

The revenue (R) is equal to the product of the admission price (x) and the number of customers (y):

R = xy

Substitute the linear demand function (y = -200x + 2400) into the revenue equation:

R = x(-200x + 2400)

To maximize the revenue, we need to find the vertex of the parabola represented by this equation. The x-coordinate of the vertex is given by:

x_vertex = -b / 2a

In this case, a = -200 and b = 2400:

x_vertex = -2400 / (2 * -200) = 6

The admission price that will yield maximum revenue is $6.

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x = e⁴ᵗ, y = t + 4(a) Eliminate the parameter to find a Cartesian equation of the curve.(b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases.

Answers

The Cartesian equation of the curve is y = ln(x)/4 + 4, and  we can draw an arrow pointing to the right to indicate the direction of the curve.

(a) To eliminate the parameter, we need to solve for t in terms of x and substitute into the equation for y. From the equation x = e⁴ᵗ, we have t = ln(x)/4. Substituting into y = t + 4, we get y = ln(x)/4 + 4. Therefore, the Cartesian equation of the curve is y = ln(x)/4 + 4.

(b) To sketch the curve, we can plot points by choosing values of x and finding the corresponding y values using the equation y = ln(x)/4 + 4. As x increases, y increases but at a slower rate. This means that the curve is increasing but is becoming less steep.

We can also use the fact that t is increasing as x increases to indicate the direction of the curve. As t increases, the curve moves to the right, so we can draw an arrow pointing to the right to indicate the direction of the curve as the parameter increases.

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Keegan deposited $675 in a savings account that pays 4.8% annual interest compounded quarterly.
Write the compound interest formula to represent Keegan's investment after 5 years.
How much money will Keegan have in the account after 5 years?

Answers

Keegan will have approximately $878.85 in the account after 5 years.

What is Compound interest ?

Compound interest is the interest that is earned not only on the initial amount of money invested (known as the principal), but also on any interest earned on that principal over time. In other words, compound interest is interest on interest.

The compound interest formula is given by:

A = P[tex](1 + r/n)^{nt}[/tex]

where A is the amount after t years, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, Keegan deposited $675, the annual interest rate is 4.8%, the interest is compounded quarterly, and the investment is for 5 years. Therefore, we can plug in these values into the formula to get:

A = 675[tex](1 + 0.048/4)^{20}[/tex]

A = 675[tex](1.012)^{20}[/tex]

A ≈ $878.85

Therefore, Keegan will have approximately $878.85 in the account after 5 years.

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If the equation is y = 2x^2 + 4x - 6 what is zero #1 (x,y) and zero #2 (x,y)

Answers

The zero #1 is (-3, 0) and the zero #2 is (1, 0).

To find the zeros of the quadratic equation y = 2x² + 4x - 6, we need to solve for the values of x when y = 0.

We can start by setting y to zero:

0 = 2x² + 4x - 6

Next, we can divide both sides by 2 to simplify the equation:

0 = x² + 2x - 3

We can then factor the left-hand side of the equation:

0 = (x + 3)(x - 1)

Using the zero product property, we can set each factor equal to zero and solve for x:

x + 3 = 0 or x - 1 = 0

x = -3 or x = 1

So the zeros of the quadratic function are (-3,0) and (1,0).

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The cone is formed from 3,200 ft3 of gravel. If the height of the cone is 24 feet, what is the radius, in feet, of the base of the cone? Use the π button on your calculator to determine the answer. Round your answer to the nearest tenth of afoot. The radius of the base of the cone is approximately ____ feet

Answers

The radius of the base of the cone is approximately 12.65 feet if The cone is formed from 3,200 ft of gravel.

Height of cone =  24 feet

The volume of the cone = [tex]3,200 ft^3[/tex]

To find the volume of the cone, the formula used here is:

V =π* [tex]r^2h[/tex]

Here, the values of V and H are known terms. we need to calculate the radius r of the cone.

π = 3.14 constant value

Substituting the values in the above equation, we get:

[tex]3,200 = (1/3)^2*(24)*[/tex] π

[tex]r^2[/tex]= 3,200 / (8π)

[tex]r^2[/tex] = 400 / π

r = 12.65

Therefore, we can conclude that the radius of the base of the cone is  12.65 feet.

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Classify each question as statistical or nonstatistical.
statistical
nonstatistical
what kind of dog does bruno have?
what is clara's brother's name?
what time did javed go to sleep?
how many siblings do you have?
what time do you go to sleep?
how many pets do you have?

Answers

The options that are statistical are:

how many pets do you have?

what time do you go to sleep?

how many siblings do you have?

The options that are non-statistical are:

what kind of dog does bruno have?

what is clara's brother's name?

what time did javed go to sleep?

How to identify statistical Data?

A statistical question is defined as one that will obtain the data that will vary from one particular response to another. However, a non-statistical question is defined as one that will obtain data that is basically exact and then has only one response.

A question that will not provide a variety of different answers is referred to as not a statistical question. For example, we can say that 'how many siblings do I have?' is not referred to as statistical. The answer will definitely have just one response, and not many.

A non-statistical question in math is defined as a question that will not provide a variety of answers. Finally, non-statistical questions provide us with exact answers that do not change.

Thus, the options that are statistical are:

how many pets do you have?

what time do you go to sleep?

how many siblings do you have?

The options that are non-statistical are:

what kind of dog does bruno have?

what is clara's brother's name?

what time did javed go to sleep?

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2. A particular ostrich runs 40 miles per hour. Select the animals who run at a faster unit rate per hour than the
ostrich. Mark all that apply.
A. O giraffe: 96 miles in 3 hours
B. O elk: 90 miles in 2 hours
c. O lion: 150 miles in 3 hours
D. O squirrel: 36 miles in 3 hours

Answers

B elk: 90 miles in 2 hours
And
C lion: 150 miles in 3 hours

The lengths of the sides of a triangle are given. Classify each triangle as acute,
right, or obtuse.
19. 3, 4, 6
To start, compare c 2 to a 2 + b2
. Substitute the greatest length for c.
20. 9, 11, 16

Answers

19. The triangle with sides 3, 4, 6 is obtuse triangle.

20. The triangle with sides 9, 11, 16 is acute triangle.

How to Classify Triangles?

In a triangle, the sum of the squares of the two shorter sides must be greater than the square of the longest side for the triangle to be considered "non-degenerate," which means it is a valid triangle with a positive area.

19. We have sides of 3, 4, and 6. We can check whether this triangle is non-degenerate using the above formula:

3² + 4² = 9 + 16 = 25, which is less than 6² = 36.

Therefore, this triangle is non-degenerate and we can classify it based on the size of its angles.

To do so, we can use the Pythagorean Theorem to find that the longest side (6) is opposite the largest angle, which is obtuse. Therefore, triangle #19 is an obtuse triangle.

20. For triangle #20, we have sides of 9, 11, and 16. Checking again with the above formula:

9² + 11² = 81 + 121 = 202, which is less than 16² = 256. So this triangle is also non-degenerate.

Using the same method as before, we can find that the longest side (16) is opposite the largest angle, which is acute. Therefore, triangle #20 is an acute triangle.

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Write the equation in factored form:

so x= what values?

What do the solutions for x mean?

x2−4x−21=0

Answers

x2 - 4x -21=0
For factorising first split the middle
term - 4x as - 7x and + 3x as -7x + 3x
- 4x and (-7x) (3x) = - 21 x2
=×2-7× +3x -21=0
= x (x-7) + 3(x -7) = 0
= (x + 3) (x - 7) = 0
Hence. the factors of x2 - 4x - 21 =
O are (x + 3) and (x - 7).

Complete the following to use the difference of two squares to find the product of 22 and 18.( + )( - ) =( )2 - ( )2 =396

Answers

The complete equation of two squares to find the product of 22 and 18 is (22 + 18)(22 - 18) = 396

When we can interpret an expression as the difference of two perfect squares, i.e. a2-b2, we can factor it as (a+b)(a-b).

To use the difference of two squares to find the product of 22 and 18:

First, find the average of the two numbers:

(22 + 18) ÷ 2 = 20

Then, find the difference between the two numbers:

22 - 18 = 4

Now we can write:

(20 + 4)(20 - 4) = 24 × 16 = 384

But we need to add the extra 12 to get 396:

(20 + 4)(20 - 4) + 12 = 396

So the completed equation is:

(22 + 18)(22 - 18) = 396

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Evaluate the following expression. Your answer must be in exact form: for example, type pi/6 for π/6 or DNE if the expression is undefined. arcsin (sin (-57π/10))=

Answers

For the following expression arcsin (sin (-57π/10)) is 3π/10.

The function arcsin(x) gives the angle in radians whose sine is x.

In this problem, we need to find the angle whose sine is equal to the sine of -57π/10.

First, we need to simplify -57π/10 to an angle in the range [-π/2, π/2] since the sine function has a range of [-1, 1]. To do this, we use the fact that sine has a period of 2π,

which means that sin(-57π/10) = sin((-57π/10) + 4π) = sin(3π/10).

So we need to find the angle θ such that sin(θ) = sin(3π/10).

Since sine is an odd function, we know that sin(-θ) = -sin(θ), so we can also say that sin(θ) = sin(-3π/10).

Therefore, there are two possible angles that satisfy the equation: θ = 3π/10 or θ = -3π/10.

However, since the range of the arcsine function is [-π/2, π/2], only the angle in that range that satisfies the equation is θ = 3π/10.

Therefore, we can write:

arcsin(sin(-57π/10)) = arcsin(sin(3π/10)) = 3π/10

The answer is 3π/10.

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A cable rigging must be run from the ground through the top of a guidepost 10 feet high, and continue in a straight line to the face of a building that stands 20 feet from the post along the ground.
(a) How high up the building should the cable be attached if the area of the right triangle formed by the cable, ground, and building is to be minimized?
(b) If the length of the cable is to be minimized, what angle θ should it make with the face of the building?

Answers

(a) To minimize the area of the right triangle formed by the cable, ground, and building, we need to minimize the length of the cable. To do this, we can use the Pythagorean theorem:

c^2 = a^2 + b^2

where c is the length of the cable, a is the distance from the guidepost to the point where the cable is attached to the building, and b is the distance from that point to the ground.

Since we want to minimize c, we can differentiate the equation with respect to a and set the derivative equal to zero:

dc/da = 2a/c = 0

Solving for a, we get a = c/2. This means that the point where the cable is attached to the building should be halfway up the building, or 10 feet high.

(b) To minimize the length of the cable, we can use the principle of least action, which states that the path taken by the cable is the one that minimizes the integral of the tension along the cable.

Assuming that the tension in the cable is constant, we can use the law of sines to find the angle θ:

sin θ / 20 = sin (90° - θ) / c

where c is the length of the cable.

We want to minimize c, so we can differentiate the equation with respect to θ and set the derivative equal to zero:

d(c)/d(θ) = -20cos(θ) / sin^2(θ) + cos(θ) / sin(θ) * dc/d(θ) = 0

Solving for dc/d(θ), we get:

dc/d(θ) = 20c * tan(θ)

Substituting this into the original equation, we get:

-20cos(θ) / sin^2(θ) + cos(θ) / sin(θ) * 20c * tan(θ) = 0

Simplifying, we get:

cos(θ) / sin(θ) = tan(θ)

Solving for θ, we get:

θ = 45°

Therefore, to minimize the length of the cable, it should make an angle of 45° with the face of the building.

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An online furniture store sells chairs for $50 each and tables for $250 each. Every day, the store can ship no more than 26 pieces of furniture and must sell a minimum of $1900 worth of chairs and tables. Also, the store must sell a minimum of 14 tables. If a represents the number of tables sold and y represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.​

Answers

Answer:

9, 10, 11, 12, 13.

Step-by-step explanation:

All possible values for the number of tables that the store must sell in order to meet the requirements are 9, 10, 11, 12, 13

Find the magnitude of v. v = 7i
|lv|| = _____

Answers

The magnitude of vector v is:
|v| = 7

How magnitude of vector is calculated?

The magnitude of v is simply the length of the vector v, which can be found using the Pythagorean theorem. The vector v is given as v = 7i.

To find the magnitude of v (|v|), use the formula:
|v| = √(x² + y²)

where x and y are the components of the vector v. In this case, x = 7 (from 7i) and y = 0 (since there is no j component).

Now, plug in the values of x and y into the formula:
|v| = √(7² + 0²)
|v| = √(49 + 0)
|v| = √(49)
|v| = 7

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On the same coordinate plane, mark all points (x,y) such that (A) y=x-2, (B) y=-x-2, (C) y=|x|-2

Answers

The marked points are (-2,-4), (-2,-1), (0,-2), (2,-1), and (2,-4), under the condition that they are on the same coordinate plane having (A) y=x-2, (B) y=-x-2, (C) y=|x|-2.

In the given graph points on the coordinate plane, we have to plot the points (x,y)
Here
x = horizontal axis
y = vertical axis.

In the given point A, y=x-2, we can continue at the origin (0,0) and move 2 units go down on the y-axis and 2 units right on the x-axis to plot point A at (2,0).

In the given point B, y=-x-2, we can continue at the origin (0,0) and transfer 2 units down on the y-axis and 2 units left on the x-axis to plot point B at (-2,0).

In the given point C, y=|x|-2, we can continue plotting two points for this equation.
When x is considered negative, we can procees at the origin (0,0) and transfer 2 units down on the y-axis and 2 units left on the x-axis to plot point C at (-2,0).
When x is positive, we can start at the origin (0,0) and move 2 units down on the y-axis and 2 units right on the x-axis to plot point C at (2,0).

Then, all points (x,y) such that (A) y=x-2, (B) y=-x-2, (C) y=|x|-2 are (-2,-4), (-2,-1), (0,-2), (2,-1), and (2,-4).
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The equation, with a restriction on x, is the terminal side of an angle theta in standard position. 5x + y = 0, x ≥ 0 Give the exact values of the six trigonometric functions of theta. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. sin theta = (Simplify your answer. Use integers or fractions for any numbers in the expression. Type an exact answer, using radicals as needed. Rationalize all denominators.) B. The function is undefined.

Answers

Sin theta = -5/sqrt(26) Is the correct option , To find the six trigonometric functions of theta, we need to first find the values of x and y on the terminal side of theta. From the given equation, 5x + y = 0 and x ≥ 0, we can solve for y in terms of x:

y = -5x

Since x ≥ 0, we know that (x, y) lies in the fourth quadrant. We can now use the Pythagorean theorem to find the length of the hypotenuse:

r =[tex]sqrt(x^2 + y^2) = sqrt(x^2 + (-5x)^2) = sqrt(26x^2)[/tex]

Now we can find the six trigonometric functions:

sin(theta) = y/r = [tex]-5x/sqrt(26x^2) = -5/sqrt(26)[/tex]

cos(theta) = x/r =[tex]x/sqrt(26x^2) = 1/sqrt(26)[/tex]

tan(theta) = y/x = -5x/x = -5

csc(theta) = r/y = [tex]sqrt(26x^2)/(-5x) = -sqrt(26)/5[/tex]

sec(theta) = r/x = sqrt(26x^2)/x = sqrt(26)/1 = sqrt(26)

cot(theta) = 1/tan(theta) = -1/5

Therefore, the exact values of the six trigonometric functions of theta are:

sin(theta) = -5/sqrt(26)

cos(theta) = 1/sqrt(26)

tan(theta) = -5

csc(theta) = -sqrt(26)/5

sec(theta) = sqrt(26)

cot(theta) = -1/5

Answer: A. sin theta = -5/sqrt(26)

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Does John Short qualify for overtime? Explain
1. 1. 3. How do you think management of Neat Upholsterers determine
whether a person has worked overtime? Do you think this is a fair
policy?​

Answers

Regarding the second question, the management of Neat Upholsterers may determine whether a person has worked overtime by tracking their hours of work and comparing them to the standard working hours or the overtime policy defined in the employment contract or labor laws. This could involve using time cards, electronic systems, or other methods of tracking employee hours.

Whether this policy is fair or not depends on various factors, such as the specific overtime policy, the industry norms, the labor laws, and the bargaining power of the employees. If the overtime policy is reasonable, transparent, and consistent with the labor laws and the industry standards, and if the employees are compensated fairly for their extra work, then the policy could be considered fair. However, if the policy is exploitative, discriminatory, or violates the legal or ethical standards, then it could be considered unfair.

1/2 (7)(4) + 6(5)=

I can not figure this out! Can you answer with middle school techniques?

Answers

The value of the given expression is 44. The solution has been obtained by using the arithmetic operations.

What are arithmetic operations?

The four basic operations, also referred to as "arithmetic operations," are thought to explain all real numbers. Operations like division, multiplication, addition, and subtraction come before operations like quotient, product, sum, and difference in mathematics.

We are given an expression as [tex]\frac{1}{2}[/tex] (7) (4) + 6 (5).

We know that when there is no sign in between two numbers, it denotes multiplication.

So, we get

⇒  [tex]\frac{1}{2}[/tex] * (7)  * (4) + 6 * (5)

⇒ 14 + 30

⇒ 44                                            (Using addition operation)

Hence, the value of the given expression is 44.

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Given the sequence an = n^7/n^4
The sequence is = _______

Answers

Given the sequence an = n^7/n^4, The sequence is = divergent. So, the answer is that the sequence is divergent.

The sequence an = n^7/n^4 can be simplified by cancelling out the common factor of n^4 in the numerator and denominator. This yields an = n^3.

Therefore, the sequence is simply the cubes of the positive integers, or 1, 8, 27, 64, 125, 216, ... and so on. This sequence grows without bound, as n gets larger, so it does not converge to any finite limit. In other words, the sequence an does not have a limit, and it is divergent.

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Baron Blakk decided to start saving. He deposited seven thousand kroner at the start of each year. He always received a fixed interest rate of 2.3%. How much interest had he received in total after eight years? Give the answer to two decimal places.

Answers

The interest he had received in total after eight years is 1396.59 kroner

How much interest had he received in total after eight years?

From the question, we have the following parameters that can be used in our computation:

Principal, P = 7000

Rate, r = 2.3%

Time, t = 8

The interest he had received in total after eight years is calculated as

I = P(1 + r)^t - P

Substitute the known values in the above equation, so, we have the following representation

I = 7000(1 + 2.3%)^8 - 7000

Evaluate

I = 1396.59

Hence, the total interest is 1396.59 kroner


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Please help asap!! the image is attached, 35 points!!

Answers

Answer:

B

Step-by-step explanation:

Lisa's first step is to distribute, so you have to distribute all numbers.

(3+6x)-2(x+1)+5

3(1+2x)-2)x+1)+5

Hope this helps! :)

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