Answer:

Step-by-step explanation:
We have been given that an object oscillates 4 feet from its minimum height to its maximum height. The object is back at the maximum height every 3 seconds. We are asked to find the cosine function that can be used to model the height of the object.
We know that standard form of cosine function is
, where,
|A| = Amplitude,
Period =
,
C = Phase shift,
D = Vertical shift.
Since distance between maximum and minimum is 4, therefore, amplitude will be half of it, that is,
.
Since objects gets back to its maximum value in every 3 seconds, therefore, period of the function is 3 seconds. We know that period is given by
, therefore, we can write
, therefore,
.
We haven't been given any information about phase and mid-line, we can assume the values of C and D to be zero
.
Therefore, our function required function would be
.
V =



is the formula to find the volume of a sphere.
First cube the radius (12)

= 1728
Now multiply 1728 by 4/3 by multiplying it by 4, and then dividing the result by 3.
1728 x 4 = 6912

= 2304
Now, we multiply this number by

to get our final answer.
You typically use 3.14 to approximate

.
2304 x 3.14 = 7234.56
Therefore, the volume of a sphere with a radius of 12 will be approximately 7234.56
Hope this helps!!
Let me know if there's anything you don't understand and I'll try to explain as best I can.
Answer:
The answer is A. She should find the squares of numbers between 8.3 and 8.4.
Step-by-step explanation:
I took the quiz
Answer: b
He jumped out of the airplane and deploying his parachute.
Step-by-step explanation: The first sentence because the verbs keep a -Ed ending, signifying the last tense through the whole sentence
Answer:
Hence The composition
of the given function is
.
Step-by-step explanation:
Given:


We need to find
.
Solution:
Now we can say that;
= 

Now Applying distributive property we get;

Now Solving the exponent function we get;

Hence The composition
of the given function is
.