Answer:
The cube must be 21.125 feet long.
Step-by-step explanation:
David can completely cover a cube of side length equal to 2 feet, using 16 quarts of paint.
With this we make a conversion factor:
feet/quarts = 0.125 feet/quarts
This means that with each quart of paint you can paint a 0.125-foot long cube
We need to know how big is the length of a cube that can be covered with 169 quarts of paint
Then we use the conversion factor found earlier

The cube must be 21.125 feet long.
Answer:
m [slope] = 1/12
Step-by-step explanation:
If a line is perpendicular (90 degrees, forms a right angle) to another, the slope of the line must be an opposite reciprocal of the other. The opposite reciprocal of m is -1/m.
An opposite reciprocal is created by flipping the numerator and denominator, and making it negative.
Therefore, if m is -12 it's opposite reciprocal is -1/-12 = <u>1/12</u>.
Answer:
9413
Step-by-step explanation:
Given that :
Error = $2 ; Standard deviation (σ) =99 ; α = 95% = 0.95
Zα/2 = Z0. 05/2 = 1.96 (Z probability calculator)...
n = sample size
Recall:
n = ((Zα/2 * σ) / Error)^2
Using the formular above, the sample size n can be obtained ;
n = ((1.96 * 99) / 2)^2
n = 97.02^2
n = 9412.8804
n = 9413
For tax you add total cost times percent of tax in decimals.
Ex: 50.24*0.055=2.7632
50.24+2.76=$53.00
Answer: 53 dollars
This is going to be kinda hard to explain in text, but I'm going to try anyways.
Let's say your inequality is 3<x. First, we need to know what dot to use on the 3.
Since it is less than and not less then or equal to, we use an open dot, a circle, on the 3.
Now we need to see which way to shade.
Since 3 is less than something, we just need to think of something more than 3. 6 for instance.
Once you find a number bigger than 3 you just need to shade that way.
Any questions?