A rectangular prism is defined by three lengths.
We can find out how many unit cubes would be in a prism by multiplying these three lengths together--that's how we find our <em>volume</em>.
Similarly, we can come up with different ways to multiply together three different numbers and make 18.
Each combination would be a new rectangular prism, with one catch:
Order doesn't matter. A prism with lengths 2, 2, and 3 is the same as one with lengths 2, 3, and 2, so don't make that mistake.
To find each combination, keep splitting 18 in different ways.
If one of the ways we split it can also be split, we need to write out that, too.
Here are the possible combinations:
18 × 1 × 1, obviously
9 × 2 × 1. splitting off 2
6 × 3 × 1. splitting off 3
4 × 6 × 1. our next biggest we can take out is 6, which can also be split...
4 × 3 × 2. there's the split of 6 into 2 and 3
<em>(3 × 6 × 1 is a repeat.)</em>
3 × 3 × 2 is new, though
<em>(2 × 9 × 1 is a repeat...)
</em><em>(2 × 3 × 3 is a repeat...)
</em>(aaaand 1 × 1 × 18 is a repeat. let's count up our combinations.)
<em>
</em>
There are 6 possible ways to multiply numbers together and get 18...
So 6 possible rectangular prisms.
Answer:
r represents the rate the electric company charges per kilowatt-hour.
Step-by-step explanation:
r represents the rate the electric company charges per kilowatt-hour.
Total charged to Zhao was 63.25 out of which 3.50 is administrative charge (fixed).
- Total charge consists of "administrative charge" + "charge per kilowatt hours*hours used
- The equation is given as 63.24 = 3.5 + 800r
<u>Matching the "word equation" with "mathematical equation", we see that 800 is the hours used and r is the charge per kilowatt hour.</u>
7 brown, 3 yellow, 8 red...total of 18 cards
there are 15 cards not yellow and a total of 18 cards....so the probability of not picking a yellow card is : 15/18 rounds to 5/6
Hey there! :)
2x + 4 > 16
We're simply just trying to get x onto it's own side, so let's get rid of any numbers on the same side of it.
We can start out by subtracting both sides by 4.
2x + 4 - 4 > 16 - 4
Simplify.
2x > 12
Then, divide both sides by 2.
2x ÷ 2 > 12 ÷ 2
Simplify.
x > 6
Therefore, our answer is D. x > 6
~Hope I helped!~
F(x) =x² - 10x, f⁻¹(x) =?
1st find the missing square of x²-10x, ==> (x-5)² - 25
y= (x-5)² - 25; replace x by y and v0ce versa: x= (y-5)² -25
or
(y-5)² = x+25
y-5 = √(x+25) and y = √(x+25) -5
Domain = {x∈R: X>= 25} AND Range ={y∈R: y>= 5}
