Answer: Third option.
Step-by-step explanation:
You need to find the surface area with the formula for calculate the surface area of a rectangular prism:
![SA=2(wl + lh + hw)](https://tex.z-dn.net/?f=SA%3D2%28wl%20%2B%20lh%20%2B%20hw%29)
Where w is the width, l is the length, and h is the height.
You can observe in the figure that:
![l=5cm\\w=4cm\\h=2cm](https://tex.z-dn.net/?f=l%3D5cm%5C%5Cw%3D4cm%5C%5Ch%3D2cm)
Then, substituting the values into the formula
, you get that minimum amount of cardboard used for the wrapper is:
![SA=2[(4cm)(5cm)+(5cm)(2cm)+(2cm)(4cm)]\\SA=76cm^2](https://tex.z-dn.net/?f=SA%3D2%5B%284cm%29%285cm%29%2B%285cm%29%282cm%29%2B%282cm%29%284cm%29%5D%5C%5CSA%3D76cm%5E2)
Answer:
See explanation
Step-by-step explanation:
The constant of variation is found using the slope formula:
![\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
The given relation is
X : -2 , -3, -4, -5
Y : -5, -7.5,-10,-12.5
We can use any two ordered pair to find the constant of variation.
Using (-2,-5) and (-3,-7.5), we have
![m=\frac{-7.5--5}{-3--2} =\frac{-2.5}{-1} =2.5](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-7.5--5%7D%7B-3--2%7D%20%3D%5Cfrac%7B-2.5%7D%7B-1%7D%20%3D2.5)
The constant of variation is 2.5
We need to repeat this for all the options to identify the one with -2.5 as slope.
unfortunately, you did not provide the remaining options.
Answer:
140 oz
Step-by-step explanation:
19.2 * 10⁸ minutes.
60 minutes = 1 hour.
19.2 * 10⁸ minutes = (19.2 * 10⁸) / 60 hour
= 32 000 000 = 3.2 * 10⁷ hours
= <span>D. 3.200 × 10^7 h</span>