Chinisa is swinging on a swing. Her maximum height above the ground is 7 feet and her minimum height above the ground is 1 foot.

Select all of the equations that could model Chinisa's height above the ground (y) after x seconds of swinging assuming that the x-axis represents the ground.
A.
y = 6 sin(2x) + 4

B.
y = 6 cos(2x) + 4

C.
y = 6 tan(2x) + 4

D.
y = 3 sin(2x) + 4

E.
y = 3 cos(2x) + 4

F.
y = 3 tan(2x) + 4

Answer:

C

Step-by-step explanation:

Begin by isolating y

-6y = - x - 1

Divide everything by -6

y = -x/-6 - 1/-6

y = x/6 + 1/6

Now you want the perpendicular

m1 * m2 = - 1

m1 = 1/6

1/6 * m2 = -1

multiply by 6

m2 = - 6

That's C

answer:

y=11x+11?

Step-by-step explanation:

from what i got from the equation it sounds like this might be the answer doory ^^'

Answer:

7.6545

Step-by-step explanation:

Answer:

x=81

Step-by-step explanation:

I am 100% sure you can go with it

Answer:

D) -9/4

Step-by-step explanation:

-4(3)³/3(4)²

-4(27)/3(16)

-108/48

divides both by 12

- 9/4

Answer:

[tex]S.A.=90\pi~cm^2[/tex]

Step-by-step explanation:

Surface Area of a Cone

Given a cone of base area B and slant height L, the surface area can be calculated with the formula:

[tex]S.A.=\pi rL +B[/tex]

The cone presented in the image has a circular base of radius r=5 cm, thus its base area is:

[tex]B=\pi r^2[/tex]

[tex]B=\pi 5^2[/tex]

[tex]B=25\pi~cm^2[/tex]

The slant height can be calculated as the hypotenuse of a right triangle with legs 5 cm and 12 cm by using Pythatgora's Theorem:

[tex]L^2=5^2+12^2[/tex]

[tex]L^2=25+144=169[/tex]

Taking square roots

[tex]L = \sqrt{169}[/tex]

L = 13 cm

The surface area is:

[tex]S.A.=\pi (5~cm)*13~cm +25\pi~cm^2[/tex]

Operating:

[tex]S.A.=65\pi~cm^2 +25\pi~cm^2[/tex]

[tex]\mathbf{S.A.=90\pi~cm^2}[/tex]

Answer:

90

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

48 hours

Step-by-step explanation:

The number of hours that Carrie must tutor to earn $408 will be 48 hours.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Carrie earns $8.50 per hour for tutoring her little brother.

Let x be the number of hours. Then the equation is given as,

8.50x = 408

Simplify the equation, then we have

x = 408 / 8.50

x = 48 hours

The number of hours that Carrie must tutor to earn $408 will be 48 hours.

More about the solution of the equation link is given below.

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Answer: 32 and 13

Step-by-step explanation:

32+13=45

32-13=19

Answer:

32 and 13

Step-by-step explanation:

Answer:

1,024

Step-by-step explanation:

Answer:

past number gets multiplied by 2 and so on

Step-by-step explanation:

2,4,8,16,32,64,128,256,512,1024

Given :

Initial entrance fee of tennis class, E = $100 .

Fee of every month, F = $10 .

To Find :

How much will it cost for five months.

Solution :

Let, number of months are n and cost of class is y.

So, linear equation is given by :

y = 10n + 100       ...1)

To know the cost of 5 month, putting value of n = 5 in equation 1) we get :

y = ( 10×5) + 100

y = 50 + 100

y = $150

Therefore, the cost of five month fee in tennis class is $150.

Hence, this is the required solution.

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

x° + y° = 180°

2y° - 0.5x° = 180°

y° = 108°

x° = 72°

Answer:

$65 + $(-25) = $40

$65 - $25 = $40

Step-by-step explanation:

Profit made last week = $65

Profit made this week = - $25

Addition expression for her profit over the two weeks

Last week profit + this week's profit:

$65 + $(-25) = $40

Subtraction expression for her profit over the two weeks :

$65 - $25 = $40

Answer:

the answer is located in the screenshot that is attached.

Step-by-step explanation:

The work is also in the screenshot attached. Hoped this helped!

The value of x if f(x) = 15 in the given function is 3

From the question,

We were given the function f(x) = 2x + 9

To determine the value of x if f(x) = 15, we will put f(x) to be equals to 15 and then solve for x in the equation

That is,

f(x) = 2x + 9

Since f(x) = 15

∴ 15 = 2x + 9

Now, to solve the above equation,

First, subtract 9 from both sides

That is,

15 - 9 = 2x +9 -9

6 = 2x

Then, we can write that

2x = 6

∴ x = 6 ÷ 2

x = 3

Hence, the value of x if f(x) = 15 in the given function is 3

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Answer:

$9,724.05

Step-by-step explanation:

8000(1+.05)^4= 9724.05

sry if im wrong :)

The amount after 4 years will be equal to $9,724.05

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest.

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

Given that Mr.Turner invested $8,000 in an account for his daughter’s college education. The account pays 5% interest, compounded yearly.

The amount after 4 years will be calculated as:-

[tex]A = P ( 1 + \dfrac{r}{100})^{nt}[/tex]

[tex]A = 8000 ( 1 + \dfrac{5}{100})^{4}[/tex]

A =  9724.05

Therefore, the amount after 4 years will be equal to $9,724.05.

To know more about Compound interest follow

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Answer:

4,5

Step-by-step explanation:

I think it is 4,5. It says reflection of it across the line, and it is in the 4th quadrent, so that -5 will become a positive 5, and the 4 will stay the same.

Answer:

5

Step-by-step explanation:

Answer: [tex]\frac{6}{2}[/tex]

Step-by-step explanation:

1. Use this [tex]\frac{f(b)-f(a)}{b-a}[/tex] to find the average rate of change

2. Average rate of change = [tex]\frac{f(8)-f(6)}{8-6}[/tex]

3. [tex]f(8) = - 4[/tex] and [tex]f(6) = -10[/tex] (To find these you will need to look at the points on the graph. So the points (8,-4) and (6,-10))

4. Replace -4 to f(8) and -10 to f(6)

5. So it will look like[tex]\frac{-4-(-10)}{8-6}[/tex]

6. Solve [tex]\frac{6}{2}[/tex]

Answer:

x=$20/$2.55.

Step-by-step explanation:

if each package is $2.55 then and it cost $20 then you will have to divide the numbers wich will give u x

Answer:

20 - 2.55x

Step-by-step explanation:

20 is the dollar bill Sophie bought the packages with,  x represents the number of packages bought and 2.55 is the price for each, so by subtracting 20 by the cost of the total packages results in the amount of change the cashier should give back to Sophie.

For example, if Sophie bought 3 packages of graph paper with a $20 bill the cashier should give back to Sophie $12.35.

20 - 2.55 (3)

20 - 7.65  

12.35

hope this helps!

Answer:

C is your y intercept 3.99b is your slope

Step-by-step explanation:

Answer:

1:

m=4/3

2:

-2

3:

First, you want to set up a proportion.

8/24 = 10/y

Cross multiply to get

240 = 8y, then divide 8 from both sides to get y = 30.

1. 2

2. 1

3. 1

4. 7

5. 0

6. 5

7. 0

Answer:

1.0

213.0

2.0

4.0

3.0

9.0

4.0

7.0

5.0

7.0

7.0

5.0

8.0

19.0

Step-by-step explanation:

Answer:55.6

Step-by-step explanation:

Answer:

55.6

Step-by-step explanation:

Answer:

B. 1/3

Step-by-step explanation:

If you look at points (-3,0) and point (0,1). Then you would see the it would take one unit up and 3 units right this would make the slope be 1/3.

Answer:

The odds against making a free throw are: 0.1905 or 0.16:0.84

Step-by-step explanation:

The odds can be categorized into two categories

The odds against is the ratio of probability of failure to probability of success.

Given

Probability of making a free throw = P = 0.84

Probability of not making a free throw = Q = 1-P = 1-0.84 = 0.16

The formula for odds-against is:

[tex]Odds-against = \frac{0.16}{0.84}\\= 0.19047..\\=0.1905[/tex]

Hence,

The odds against making a free throw are: 0.1905 or 0.16:0.84