The center of a Ferris wheel is 55 feet above the ground. The Ferris wheel completes one revolution every 40 seconds. The distance between the lowest and highest points of the Ferris wheel is 100 feet.A trigonometric function models the height of the seat that starts closest to the ground when the wheel begins moving. (a) What is the period of the function?

(b) What is the amplitude of the function?

(c) What is the midline of the function?

(d) Sketch the first two periods of the graph of the function. Plot and label the key points of the graph. Label each axis with an appropriate scale

Answers

Answer 1
Answer:

Answer:C

Step-by-step explanation:


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The farmer harvested 5000 bushels of barley from 40 acres. The crop produced an average of how many bushels of barley for each acre?

Answers

5000 divided by 40 is 215. Therefore, he produced 215 bushels of barley per acre.

Final answer:

To find the average number of bushels of barley per acre, divide the total number of bushels by the number of acres. In this case, the average bushels per acre would be 125 bushels per acre.

Explanation:

To find the average number of bushels of barley per acre, divide the total number of bushels by the number of acres.

Formula: Average bushels per acre = Total bushels / Total acres

In this case, the average bushels per acre would be 5000 bushels / 40 acres = 125 bushels per acre.

Learn more about average bushels per acre here:

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A company makes concrete bricks shaped like rectangular prisms. Each brick is 10 inches long, 7 inches wide, and 5 inches tall. If they used 14,000in3 of concrete, how many bricks did they make?

Answers

Answer: There are 40 bricks they make.

Step-by-step explanation:

Since we have given that

Length of each brick = 10 inches

Width of each brick = 7 inches

Height of each brick = 5 inches

So, Volume of each brick = Length × Breadth × Height

Volume=10* 7* 5\n\nVolume=350\ in^3

Since, If they used 14000 in³ of concrete.

So, Number of bricks is given by

\frac{\text{Volume of concrete}}{\text{Volume of brick}}\n\n\n=(14000)/(350)\n\n\n=40

Hence, there are 40 bricks they make.


The volume of each block is

                           (10in x 7 in x 5 in) = 350 inches³ .

With  14,000 in³  of material, they could make

                       (14,000 in³) / (350 in³/block) = 40 blocks .


A polygon has the following coordinates: A(4,2), B(-3,2), C(-3,5), D(4,5). Find the length of DA.A.
4 units
B.
C.
2 units
3 units
D.
5 units
Reset
Submit

Answers

Option C: 3 units is the length of DA

Explanation:

The coordinates of a polygon ABCD are A(4,2), B(-3,2), C(-3,5), D(4,5)

We need to find the length of DA

The length of DA can be determined using the distance formula,

d=√((x_2-x_1)^2+(y_2-y_1)^2)

Let us substitute the coordinates A(4,2) and D(4,5) in the distance formula, we get,

d=√((4-4)^2+(5-2)^2)

Subtracting the terms within the bracket, we have,

d=√((0)^2+(3)^2)

Squaring the terms, we get,

d=√(0+9)

Adding the terms, we have,

d=√(9)

d=3 \ units

Thus, the length of DA is 3 units.

Hence, Option C is the correct answer.

Create a graph that has the following intercepts. Make sure to label each of the intercepts onthe graph, as well as the axis on your graph.
y=-3, x = 5, y = 3

Answers

Answer:

  see below for the graph

Step-by-step explanation:

The desired graph has two y-intercepts and one x-intercept. It is not the graph of a function.

Here's one way to get there.

__

Start with the parent function y = |x| and scale it down so that it has a y-intercept of -1 and x-intercepts at ±1.

Now, it is ...

  f(x) = |x| -1

We want to scale this vertically by a factor of -5. this puts the y-intercept at +5 and leaves the x-intercepts at ±1.

Horizontally, we want to scale the function by an expansion factor of 3. The transformed function g(x) will be ...

  g(x) = -5f(x/3) = -5(|x/3| -1) = -5/3|x| +5

This function has two x-intercepts at ±3 and one y-intercept at y=5. By swapping the x- and y-variables, we can get an equation for the graph you want:

  x = -(5/3)|y| +5

______

Comment on this answer

Since there are no requirements on the graph other than it have the listed intercepts, you can draw it free-hand through the intercept points. It need not be describable by an equation.

I have so hard questions please help

Answers

Answer:

A     1

--------------

7*7*7*7*7*7

Step-by-step explanation:

(7^3)^-2

We know that a^b^c = a^ (b*c)

7^(3*-2)

7^ -6

The negative exponent move it to the denominator

1/7^6

1

--------------

7*7*7*7*7*7

Y – x² = 4.5 and y = x^4 Is this function linear or non linear?

Also show work and explain why.

Answers

Linear functions are in the form y=mx+b.

But the functions are in the form of y=x^4 and y-x^2=4.5.
Their exponents make them a quadratic function so it doesn't have the same rate of change. Therefore the equations are not linear. They are quadratic.
Linear functions are in the form of y = mx + b.

y - x² = 4.5 is not linear because of the x².

y = x⁴ is not linear because of x⁴.