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Stolb23 [73]
2 years ago
7

A small ball floats on the surface of the water in a wave pool. As a wave moves past the ball, the ball's

Mathematics
1 answer:
stiks02 [169]2 years ago
6 0

Answer:

The correct option is;

d(t) = 6·cos(π/3·t) + 28

Step-by-step explanation:

The general form of a cosine function is given as follows;

y = A·cos(B·x - C) + D

Where;

A = The amplitude = The distance from the peak to the midline = 1/2×(Maximum - minimum)

The amplitude = 1/2 × (34 - 22) = 6 inches

B = 2·π/P = 2·π/6 = π/3

P = The period = 6 seconds

C/B = The phase shift

D = The midline = Minimum  + Amplitude = 22 + 6 = 28 inches

x = The independent variable

Therefore, to model the function of the wave can be given as follows;

d(t) = 6·cos(π/3·t) + 28

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N+8>11 is the answer you are looking for 

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3 years ago
Tom's stockbroker offers an investment that is compounded continuously at an annual interest rate of 3.7%. If Tom wants a return
Anettt [7]

Answer:

It'll take 38.3 years to obtain the desired return of $25,000.

Step-by-step explanation:

In order to solve a continuosly coumponded interest question we need to apply the correct formula that is given bellow:

M = C*e^(r*t)

Where M is the final value, C is the initial value, r is the interest rate and t is the time at which the money was applied. Since he wants an return of $25,000 his final value must be the sum of the initial value with the desired return. So we have:

(25000 + 8000) = 8000*e^(0.037*t)

33000 = 8000*e^(0.037*t)

e^(0.037*t) = 33000/8000

e^(0.037*t) = 4.125

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t = ln(4.125)/(0.037)

t = 1.4171/0.037 = 38.2991

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7 0
3 years ago
An experimenter is randomly sampling 4 objects in order from among 43 objects. What is the total number of samples in the sample
Ivenika [448]

Answer:

10.75

Step-by-step explanation:

First you see how many times 4 can go into 4 in the tens place which is 1 .You multiply 4 times 1and you get 4 .Then you minus 4 from 4 and get

Then you bring down the 3 and see how many times 4 can go into 3 which is 0 .So you put a decimal point and bring down a 0.

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See how many times 4 can go into 20 which is 5.Mutiply 5 times 4 and get 20 then subtract 20 from 20.

Get a final quotient of 10.75.

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2 years ago
Which is the correct answer for this?
alukav5142 [94]

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Step-by-step explanation:

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8 0
2 years ago
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Solve the equation:<br>5 - 20 =<br>– 15<br>Enter answer below<br>Enter your response​
Ipatiy [6.2K]

Answer:

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Step-by-step explanation:

First add 20 to both sides to get x/3 = 5

Then multiply both sides by 3 to get 15.

You can check it by substituting it into the equation

15/3 - 20 = -15

5 - 20 = -15

-15 = -15

5 0
2 years ago
Read 2 more answers
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