The volume of a cylinder is r^2

dh
enter values, then you get 3.53, multiply that by the BTU, the answer is 8888 BTU
65 ÷ 5 = 11 with 0 left over
Hope this helps! ;)
Answer:
1. In the multiplication of the imaginary parts, the student forgot to square of i. OR
2. The student has only multiplied the real parts and the imaginary parts.
Correct value
.
Step-by-step explanation:
The given expression is

A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i.
Student's mistake can be either 1 or second:
1. In the multiplication of the imaginary parts, the student forgot to square of i.
2. The student has only multiplied the real parts and the imaginary parts.

Which is not correct. The correct steps are shown below.
Using distributive property, we get



![[\because i^2=-1]](https://tex.z-dn.net/?f=%5B%5Cbecause%20i%5E2%3D-1%5D)


Therefore, the correct value of
is
.
Answer:
2.5 second
Step-by-step explanation:
The equation is missing in the question.
The equation is,
, where 'h' is the height and 't' is time measured in second.
Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :

Now the differentiating the equation with respect to time t, we get


For maximum height, 
So, 



Therefore, the ball takes 2.5 seconds time to reach the maximum height.
To transform the function

to have the amplitude of 3, we need to multiply the constant 3 to the function f(x), so we have

To transform the function

to have the midline

we need to subtract

by 4, so we have

,
To transform the function

to have period of

, we need to divide the original period

by 4, so we have

. Note that it is the

gives the effect of dividing the points on x-axes by 4 and the period is read on x-axes
Hence, the full transformation is given

which is the last option