The data in the table shows a sinusoidal relationship between the number of seconds an object has been moving and its velocity v (x), measured in centimeters per second

What is true of the cosine function that models the data in the table?
Drag a value into each box to correctly complete the statements.

The period of the cosine function is The equation of the midline of the cosine function is y = 20 The amplitude of the cosine function is ​

The Data In The Table Shows A Sinusoidal Relationship Between The Number Of Seconds An Object Has Been

Answers

Answer 1

Answer:

The period is the change in x required for the function to return to the same value, changing in the same direction. The first two table entries are v(x) = 41.7 and 35.7. The next time that sequence appears is when x=44, so the period is ...

 period = 44 -4 = 40 . . . seconds

__

The minimum table value is 20; the maximum is 44, so the midline of the function is their average:

 midline = (20 +44)/2 = 32

__

The amplitude is the maximum deviation from the midline, so is ...

 amplitude = 44 -32 = 12

Step-by-step explanation:


Related Questions

(lengthy question, pls help will def give brainliest asap)

Cecilia decided to start a savings plan. On January 1, she opened a bank account and made a depositZ she then made monthly deposits without ever taking money out of the account. At the end of each month, she recorded the total amount in her savings account the table below shows her data for the first five months of the year.


What is the initial value, in dollars, for the function that represents Cecilia’s total savings? Explain your answer.

Answers

650$ was the amount of money that was taken away

Step-by-step explanation:

Move a symbol to each box to compare the fractions.
5/6 10/12
12/100 10/12
<>=

Answers

Answer:

See below ~

Step-by-step explanation:

Question 1

5/6 _ 10/12

Take LCM as 125/6 x 2/2 _ 10/1210/12 _ 10/1210/12 = 10/12

Question 2

12/100 _ 10/12

Simplify both sides3/25 = 5/6Take LCM as 1503/25 x 6/6 = 5/6 x 25/2518/150 _ 125/150125 is greater than 1812/100 < 10/12

anyone know the answer i really need help?

Answers

Answer:

8

Step-by-step explanation:

HOPE THIS HELPS! PLS GIVE ME BRAINILIEST PLSSSSSSSSSSSSSSSSSSS!

help me3 i dont really understand it I try so many times but I didn't get it right

Answers

Answer: 53

Step-by-Step:

1/2 • 8^2 + 3(7)
1/2 • 8•8 + 21
1/2 • 64 + 21
32 + 21
53

Consider the diagram below. where h represents height and l represents length. Which of the following represents the approximate area of both figures?

Answers

Answer:

Both figures have an area of (6hl) by Cavalieri's Principle for two-dimensional figures.

Step-by-step explanation:

Answer:

option a

Step-by-step explanation:

because of his province duh

What is the minimum value for the function shown in the graph?
Enter your answer in the box.

Answers

Check the picture below.

The population of a small village has fallen by 6% to 658. What was the population of the village before the decrease?

Answers

Answer: answer below

Step-by-step explanation:

A WOMAN BOUGHT A RING FOR $200.00 MANY YEARS. LATER, SHE SOLD IT FOR $375.00. WHAT IS THE PERCENT INCREASE IN VALUE OF THE RING?​

Answers

Answer:87.5%

Step-by-step explanation:

(Final value - starting)/staring *100

What is the area of the square shown below?







A. 16 ft2
B. 32ft
C. 32ft2
D. 64ft2

Answers

Answer:

64 feet squared

Step-by-step explanation:

Since it's a square, all sides have a length of 8 ft. Area is length x width, so simply multiply 8 by itself. 64 feet squared is therefore the answer.

Solve the following system of equations and show all work.
y = x^2 + 3
y = x + 5

please help me! i know that i have to do substitution or something like that but i got really confused halfway through it and i also need to show all of the work!

Answers

This is a little harder than substitution. This is more like elimination.

Eliminate one unknown by subtracting or adding the two equations.

In this case I subtracted the two to eliminate y

and because you have an exponent you will have two answers as the line passes through the parabola.

The answers are (2,7) and (-1,4)

I took the liberty to show you how to solve by elimination in the picture below and graphed it out to help prove it.

It’s a pretty tricky problem, I hope this helps!

Good luck with your studies!

Given that z = 10 cis 30° and w = 5 cis 10°, find z/w. Leave your answer in polar form
Giving almost 100 pts!!

Answers

Answer:

2cis(20°)

Step-by-step explanation:

we are given that

[tex] \displaystyle \rm z = 10cis ({30}^{ \circ} )[/tex]

[tex] \displaystyle \rm w = 5cis ({10}^{ \circ} )[/tex]

We want to find z/w . To do so, divide 10cis(30°) by w = 5cis(10°) which yields:

[tex] \displaystyle \rm \frac{ z}{w} = \frac{10cis ({30}^{ \circ} )}{5cis( {10}^{ \circ} )}[/tex]

recall that,

[tex] \displaystyle \rm \frac{ r_{1} cis ({ { \theta}_{1}} )}{ r_{2}cis( { \theta}_{2})} = \frac{ r_{1} }{ r_{2} } cis({ \theta}_{1} - { \theta}_{2})[/tex]

consider,

[tex]{ r}_{1} \implies 10[/tex][tex]{ r}_{2} \implies 5[/tex][tex]{ \theta}_{1} \implies {30}^{ \circ} [/tex][tex]{ \theta}_{2} \implies {10}^{ \circ} [/tex]

Therefore, utilizing the formula yields:

[tex] \displaystyle \rm \frac{ z}{w} = \frac{10cis ({30}^{ \circ} )}{5cis( {10}^{ \circ} )} \\ \implies \rm\frac{ z}{w} = \dfrac{10}{5} cis( {30}^{ \circ} - {10}^{ \circ} ) \\ \implies \rm \dfrac{z}{w} = \boxed{ \rm2cis( {20}^{ \circ} )}[/tex]

and we're done!

NB: cis(x) is also known as cos(x)+i×sin(x)

If AB is perpendicular to radius CP at​ P, then is tangent to C.
​Given: QRn
​Prove: n is tangent to Q at R.


A. Scalene
B.Right
C.Equilateral

Answers

Answer: Right triangle

Step-by-step explanation:

QR is perpendicular to line n, so the indicated angle is a right angle. Thus, QRS is a right triangle because a triangle with a right angle is a right triangle.

The box-and-whisker plot below shows the number of points each member of the middle school basketball team made during the game on Saturday.

Answers

i need the box and whisker plot to help


What is the area of the unshaded part of the
rectangle to the right?
A. 19,000 ft²
B. 45,000 ft²
C. 28,000 ft²
D. 26,000 ft²

Answers

the answer is 82 million

Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.

Answers

Answer:

∆The lateral surface area of cylinder =417.62 mm²

Step-by-step explanation:

Diameter = 7

Radius = 7/2

Lateral Surface Area of cylinder = 2πrh

=> 2× π × 7/2 × 19

=> 38 × 7/2 × π

=> 133 × π { taking π as 3.14}

=> 133× 3.14

=> 417.62 mm²

A pistol is accidentally discharged vertically upward at a height of 3 feet
above the ground. If the bullet has an initial muzzle velocity of 200 feet
per second the path of the bullet is modeled by
h (t) = -16t² + 200t + 3.
A. How long does it take for the bullet to reach its maximum height.
Round to nearest hundredth.
B. What is the maximum height?
C. How long will it take for it to hit the ground?
D. When will the bullet be 403 feet above the ground?

Answers

The maximum height the bullet will reach is 627 ft. The time(from the point when bullet was fired) it will take the bullet to hit the ground is 12.51 sec approx. The time when the bullet will be 403 ft above the ground are 2.475 sec and 10.02 sec approx.

How to obtain the maximum value of a function?

To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.

Putting those values of x in the second rate of function, if results in negative output, then at that point, there is maxima. If the output is positive then its minima and if its 0, then we will have to find the third derivative (if it exists) and so on.

For this case, the height of the bullet from the ground is modeled by the equation:

[tex]h(t) = -16t^2 + 200t + 3[/tex]

where height is in meters and time is in seconds. And t is the time in seconds passed from the point of time when the bullet was fired.

A) Finding maximum height reached by the bullet:

Finding its first and second rate with respect to the variable 't', we get:

[tex]\dfrac{d(h(t))}{dt} = h'(t) = -32t + 200\\\\\dfrac{d^2(h(t))}{dt^2} = h''(t) = -32 < 0[/tex]

Thus, the second rate is negative no matter what the value of 't' is. So all the critical points would be corresponding to maxima.

Now, finding the critical points by equating the first rate = 0, we get:

[tex]h'(t) = 0\\\\-32t + 200 = 0\\\\t = \dfrac{200}{32} = 6.25 \: \rm sec.[/tex]

Due to only one critical point, and that each critical point is maxima, we have the value of h(t) globally maximum when t = 6.25

Putting t = 6.25 in the function h(t), we get the maximum height achieved by the bullet as:

[tex]h(t) = -16t^2 + 200t + 3\\h(6.5) = -16(6.5)^2 + 200(6.5) + 3 = 627 \: \rm ft[/tex]

B) Finding the time it will take the bullet to fall on the ground

When the bullet will fall on the ground, the value of h(t) would be 0.

Putting h(t) = 0, and finding the values of 't' for which this is true, we get:

[tex]h(t) = -16t^2 + 200t + 3\\0 = -16t^2 + 200t + 3\\\\16t^2 -200t -3 =0\\\\t = \dfrac{-(-200) \pm \sqrt{ (-200)^2 - 4(16)(-3)}}{2(16)}\\\\t \approx \dfrac{200 \pm 200.479}{32}\\\\t \approx -0.0149 \: \rm sec., t \approx 12.51 \: sec.[/tex]

Bullet will fall only after it is shot, so time taken for the bullet to fall compared to the time when its shot would be greater, so time passed (t here) would be positive.

Thus, at approx t = 12.51 sec, the bullet will fall on the ground.

C) When will the bullet be at 400 ft of height from the ground?

At  t = 0, bullet was at 3 ft, and therefore, whenever bullet will reach 400 ft, the time t would be > 0.

Putting h(t) = 400, we get:
[tex]h(t) = -16t^2 + 200t + 3\\400 = -16t^2 + 200t + 3\\\\16t^2 -200t +397 =0\\\\t = \dfrac{-(-200) \pm \sqrt{ (-200)^2 - 4(16)(397)}}{2(16)}\\\\t \approx \dfrac{200 \pm 120.797}{32}\\\\t \approx 2.475\: \rm sec., t \approx 10.02\: sec.[/tex]

These both values are true. The time when t = 2.475 approx, the bullet would be going up, passing by 400 ft height, and when t = 10.02 approx, the bullet would be coming down, passing by 400 ft height.

Thus, the maximum height the bullet will reach is 627 ft. The time(from the point when bullet was fired) it will take the bullet to hit the ground is 12.51 sec approx. The time when the bullet will be 403 ft above the ground are 2.475 sec and 10.02 sec approx.

Learn more about maxima and minima of a function here:

https://brainly.com/question/13333267

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Please HELP! I will mark BRAINLIEST. YOU ALSO GET 20 POINTS FOR HELPING ME! THANK YOU!

Answers

y=x-50

[tex]\huge\mathfrak\colorbox{white}{}[/tex][tex]\huge\mathfrak\colorbox{white}{}[/tex]

Graph the line to complete the chart ​

Answers

Answer:

Slope : 1, Intercept- 3, equation: y = 1x + 3

Step-by-step explanation:

slope is the change of rate and it can be observed that the rate of change from each square is 1

y intercept is the spot where the line intersects with the y axis

equation format: y = mx + b where mx is slope and b is the y intercept

I NEED THIS ASAP PLEASEEach unit on the graph is equal to 1 block. How many blocks does Ben need to walk from his house to reach the museum? A. 7 blocks B. 9 blocks C. 10 blocks D. 13 blocks

Answers

ANSWER: B. 9 blocks
EXPLANATION:

What is the value of x2(7−x)+2 when x=5?

Answers

substitute the value of x for 5

(5)^2(7-5)+2

square 5 to get 25(7-5)+2

minus 7 and 5 to get 25(2)+2

multiply 25 and 2 to get 50 + 2

add the equation to get 52

so, the value of the equation is 52

hope this helped!

Sam ran 2 5/4 miles last weekend. This weekend he ran 3 5/1 miles. How many miles did he run in all?

Answers

Answer:

11 1/4

Step-by-step explanation:

2 5/4 = 3 1/4

3 5/1 = 8

8 + 3 1/4 = 11 1/4


I need help asap please

Answers

Answer:

B = 21.4°

Step-by-step explanation:

Using the Law of Sines.

[tex]sin(42)/22=sin(B)/12[/tex]

Cross Multiply

[tex]12*sin(42)=22sin(B)[/tex]

Get Sin(B) by itself.

sin(B)= 12*sin(42°) / 22

B° = sin^-1((12*sin(42°))/22)

B = 21.4°

The ratio of the number of oranges in a fruit salad to people served is 9/40. If Lisa wants to serve 800 people, how many oranges will Lisa use?

Answers

180

Step-by-step explanation:

9:40

?:800

9×20=180

40×20=800

it is a ratio. 9 oranges to 40 people. 40 times 20 is 800 so you do the same to 9 (which gives you 180)

Answer:

180/800

Step-by-step explanation:

if you multiply the numbers by 20 you can get your answer

HELP I REALLY NEED HELPPPPP

Answers

[tex]\bold{ANSWER:}[/tex]

Answer:

100 degrees

Step-by-step explanation:

i need help with question 16 and 17

Answers

Answer:

16 is definitely a

17 is c

Step-by-step explanation:

an app that I use that helps a lot is desmos u should try it out

hope this helps :)

can i get brainliest?


What two-dimensional shape iS formed by the cross section
shown below?

Answers

Answer:

pentagon

Step-by-step explanation:

it has 5 sides

Answer:

The 2 dimensional shape that is formed by the cross section below is a triangle.

find the slope of the line that passes through the points (-6, - 18) and (-7, -17)

Answers

Answer:

-1

Step-by-step explanation:

The slope is the change in the Y value divided by the change in the X value. Therefore, the slope of this line is:

(-17-[-18])/(-7-[-6) = (-17+18)/(-7+6) = (1)/(-1) = -1

Write .00003088 in scientific notation

Answers

Answer:

Step-by-step explanation:

3.088 x [tex]10^{-5}[/tex]

scientific notation requires one number before the decimal, moving the decimal place to the right requires counting down.  

5 objects of any size that are in
the shape of a rectangular prism.
You can find these items anywhere
around your house. You could use a
tissue box, shoe box, cereal box,
any snack food box, etc.
Ruler that has inches.

help

Answers

To make a triangular prism we need cardboard, glue and scissors.

What is a triangular prism?

A triangular prism is a geometric shape characterized by:

It has three sides.It is a polyhedron.It has a triangular base and three faces that join it with another base.Its sides are rectangular.

How to make a triangular prism out of cardboard?To make a triangular prism out of cardboard we must draw two equilateral triangles on the cardboard.Then we must draw three rectangles that have the same height as the length of the sides of the triangle.Subsequently, we must cut out all the shapes we draw, a total of five figures.Then we must paste the three rectangles on each side of the triangles.Once we glue the three rectangles to one of the triangles, we assemble the prism by joining the other side of the rectangles to the other triangle.

Learn more about prism in: https://brainly.com/question/12649592

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What is the slope of the compass needle (the bottom red line)?

Answers

Answer:

176/317

Step-by-step explanation:

The formula for slope is [tex]\frac{y2 - y1}{x2 - x1}[/tex], which means you have to subtract the second point's y coordinate (286) minus the first point's y coordinate (110).

Now you have [tex]\frac{286-110}{x2 - x1}[/tex] or [tex]\frac{176}{x2 - x1}[/tex].

Now you have to do the same for x.

446 - 129 = 317, which gives you the final answer of

[tex]\frac{176}{317}[/tex], or about 0.555.

Hope this helps :)

jp524

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