Answer:
<h2><u><em>
The lengths of the sides of a small cube are = foot. Volume of cube = side x side x side. V = = cubic foot. Number of small cubes that can be packed in the prism = = = = 180 cubes. Hence, 180 cubes can be packed into rectangular prism. Part B: Unit cube volume is 1x1x1 =1 cubic foot. So, 180 cubes will have 180 cubic foot volume.</em></u></h2>
Step-by-step explanation:
For this case, the first thing we must do is define variables.
We have then:
x: number of minutes
y: final temperature
We write then the equation that models the problem:
![y = (-4/10) x + 80 ](https://tex.z-dn.net/?f=y%20%3D%20%28-4%2F10%29%20x%20%2B%2080%0A)
For y = 20 we have:
![20 = (-4/10) x + 80 ](https://tex.z-dn.net/?f=20%20%3D%20%28-4%2F10%29%20x%20%2B%2080%0A)
Clearing x:
Answer:
The temperature of the water will be 20 degree celcius after 150 minutes
Answer:
n < 2
Step-by-step explanation:
Let
The unknown number = n
8 < 4n
n < 8 / 4
n < 2
therefore, n must be less than 2
If n = 2
Then, 8 Will be equal to 4 times the number
Answer:
The average rate of change is 8.
Step-by-step explanation:
The formula to calculate the average rate of change of a function F(x) is:
![\frac{F(b)-F(a)}{b-a}](https://tex.z-dn.net/?f=%5Cfrac%7BF%28b%29-F%28a%29%7D%7Bb-a%7D)
In this case, F(x) = ![0.5x^{2} +5x+9](https://tex.z-dn.net/?f=0.5x%5E%7B2%7D%20%2B5x%2B9)
a=2 and b=4
You have to evaluate x=2 (which is a in the formula) and x=4 (which is b in the formula) in the function.
In order to obtain F(b) and F(a) you have to replace x=4 and x=2 in the given function:
F(b) = ![(0.5)4^{2} + 5(4) +9= 37](https://tex.z-dn.net/?f=%280.5%294%5E%7B2%7D%20%2B%205%284%29%20%2B9%3D%2037)
F(a) = ![(0.5)2^{2} + 5(2)+9=21](https://tex.z-dn.net/?f=%280.5%292%5E%7B2%7D%20%2B%205%282%29%2B9%3D21)
![\frac{F(b)-F(a)}{b-a} = \frac{37-21}{4-2}=\frac{16}{2} = 8](https://tex.z-dn.net/?f=%5Cfrac%7BF%28b%29-F%28a%29%7D%7Bb-a%7D%20%3D%20%5Cfrac%7B37-21%7D%7B4-2%7D%3D%5Cfrac%7B16%7D%7B2%7D%20%3D%208)
The answer is 8.