Length=6, width=2, height=20. We can write a function to solve this problem. Suppose the length of the sculpture is x inches. Then the width is (x-4) inches, and the height (3x+2) inches. Their product is the volume of the clay: x*(x-4)*(3x+2)=240. Solve the equation, the only real answer is 6, so the length is 6 inches. Width is 6-4=2, and height is 3*6+2=20.
Using the profit function, it is found that:
a) She earns $36 after 25 years.
b) The function was shifted right 4 units and up 1 units.
<h3>What is the profit function?</h3>
The profit, in x years after 2015, is given by:
![p(x) = 12\sqrt[3]{x + 2}](https://tex.z-dn.net/?f=p%28x%29%20%3D%2012%5Csqrt%5B3%5D%7Bx%20%2B%202%7D)
Item a:
She earns $36 after x years, considering x for which p(x) = 36, hence:
![36 = 12\sqrt[3]{x + 2}](https://tex.z-dn.net/?f=36%20%3D%2012%5Csqrt%5B3%5D%7Bx%20%2B%202%7D)
![\sqrt[3]{x + 2} = 3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%20%2B%202%7D%20%3D%203)
![(\sqrt[3]{x + 2})^3 = 3^3](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7Bx%20%2B%202%7D%29%5E3%20%3D%203%5E3)
She earns $36 after 25 years.
Item b:
The new function is:
![h(x) = 12\sqrt[3]{x - 2} + 1](https://tex.z-dn.net/?f=h%28x%29%20%3D%2012%5Csqrt%5B3%5D%7Bx%20-%202%7D%20%2B%201)
At the domain, we have that 
, that is, 
, hence it was shifted right 4 units.
At the range, we have that 
, hence it was shifted up 1 unit.
You can learn more about functions at brainly.com/question/24380382
The answer is C, 150 degrees.
Answer:
Step-by-step explanation:
sum of all the angles in a triangle=180
let the angles be 2x, 4x and 3x
so, 2x+4x+3x=180
9x=180
x=20
so smallest angle 2x= 2(20)= 40 degrees
Formula for the area of a square = side^2
So, 15^2 will result in the area.
Thus, the answer is 225 mm^2 (when squaring, units are always given the square as well.)
