Answer:
5^20
Step-by-step explanation:
For each comic book, there are five different choices for which kid will receive that comic book. 20 decisions are made, one for each comic book with five different possibilities for each choice. The number of ways to distribute the comic books to the five kids is 5^20.
Answer:
The answer is -x+26.
Step-by-step explanation:
First you distribute the -3 into the parthensis and you get -3x+15. You write the whole expression again plus the -3x+15 you got from the distributing part so 8-3x+15+2x+3. You combine the like terms so the x with the x and the numbers with the numbers. From there you get the answer of -x+26. I hope this helps you! If you need more clarification or more help please type it in the comments below. Thanks!
<span>Given that A
dataset shows that, on average, smokers do not live as long as
nonsmokers and heavy smokers do not live as long as light smokers.
If
you compute the least squares line for y = age at time of death and x =
number of packets per day typically smoked, you will notice that as the number of packets per day a person smokes increases, the age at time of death of the person decreases.
Thus, the graph wil have a negative slope.
Therefore, the slope of your
regression line will be less than 0.</span>
Answer:
x is 10
Step-by-step explanation:
- Let x is the side of the base
- Let h is the height
Given that:
<=> 2
+ 4xh = 4200 cm2
<=> 4xh = 4200 - 2
<=> h = (4200 - 2 )/4x
V = h
<=> V = (4200 - 2 )/4x
<=> V = (4200x - 2
)/4
- To find the maximum volume, we differentiate volume with respect to x:
dV/dx = (4200 - 6 )/4
Set dV/dx = 0, we have:
4200 - 6 =0
<=> = 700
<=> x = 10
d²V/dx² = -12x/4
It is negative so the volume is maximum.
So x is 10
