Answer:
the ansqer is g(x) = 4^x-4 + 2
(C)
Step-by-step explanation:
The volume of the conical pile is given by

Taking the derivative of V with respect to time, we get


Since r is always equal to h, we can set

so that our expression for dV/dt becomes


Solving for dh/dt, we get



Answer:
160 visitors.
Step-by-step explanation:
Given:
An average of 145 people visited a 4-day exhibition on the first 3 days, <u>means here average people visited in 3 days is given 145.</u>
Average = 145
Number of people, n = 3
Another 205 people visited the exhibition on the fourth day.
To find:
What is the average number of visitors per day ?
Solution:
<u>First of all we will find total number of people visited in 3 days:-</u>
As we know:


Multiplying both sides by 3

Thus, we found that total number of people visited in 3 days is 435 and as 205 people visited in fourth day, then total number of people increased to
435 + 205 = 640
Now, sum of total observations( total number of people ) = 640
And number of observation ( number of days ) = 4
Now, we will calculate average number of visitors visit per day :-


Thus, the average number of visitors per day is 160 visitors.
Answer:
You are given a right triangle. The sum of the two acute angles should add up to 90 degrees. Set up an equation using the expressions given and solve for x. Once you know the value of x plug it back into each expression to find the measure for each angle.
Step-by-step explanation:
Angle 1 + angle 2 = 90
solve for x = ____
Plug the value into each expression to find the measure of each angle.