Answer:

Step-by-step explanation:
Given




Required
Find the height
The volume is calculated as thus:

This gives

Apply difference of two squares


Subtract 15 from both sides

Using a calculator to factorize, we have:

Split
or 
or 
x has complex roots for 
Hence:

Recall that:


<h3>
Answer: 300</h3>
====================================================
Explanation:
One general template of exponential functions is
f(x) = a*(b)^x
The 'a' is the initial amount, which in this case is a = 300
----------------------
Extra info:
The b is the base of the exponential, which is b = 1.16
The value of b is helpful to determine if you have exponential growth or decay, and how much of either. Because b = 1.16 is greater than 1, it indicates exponential growth. The rate of growth is found by solving 1+r = 1.16 to get r = 0.16, which leads to 16% growth.
Answer:
2,040
Step-by-step explanation:
Because 5 goes up.
Answer:
x-intercept is (-4,0) and the y-intercept is (0,-2
Step-by-step explanation:
There are 2 ways to find the y-intercept. One way is to put the equation in slope-intercept form. However, there is a more efficient way as well.
Another way to do it is to plug 0 in for x and y. The x-intercept will have the coordinate of (x,0). So to find the x-intercept you can plug in 0 for y and solve for x. To find the y-intercept do the opposite and plug 0 in for x.
So, first, plug 0 in for y
- x+2(0)=-4
- x+0=-4
- x=-4
Then plug in 0 for x
- 0+2y=-4
- 2y=-4
- y=-2
Therefore, the x-intercept is (-4,0) and the y-intercept is (0,-2).
Answer:
52 miles per hour
Step-by-step explanation:
I think you're missing some info, so this is all I can help with right now