Answer:
243
Step-by-step explanation:
Step 1:
Find the volume of each square: do 3/4*3/4*3/4.
Each square's volume is 27/64.
Step 2:
Find the volume of the cube.
Multiply 8*6*12.
8*6*12=576.
Step 3:
Do 576*27/64.
576*27/64=243.
When you add, you subtract the exponents. When you divide, you subtract the exponents.
When you have multiplication and division in one expression, you do it from left to right.
7^2 times 7^5 = 7^ (2+5) = 7^7
7^7 times 2^2 / 7^3 = 7 ^(7 - 3) times 2^2
7^4 times 2^2 times 2^6 = 7^4 times 2^(2+6) = 7^4 times 2^8
Put it in a calculator.
614656.
That is the answer, but you didn't include the "which of the following", so I guess you'll have to put each value in the calculator to find out!
If the 7^3 times 2^6 is in parenthesis, then the answer is 150.0625.
The coefficient of the squared expression is 1/9
<h3>How to determine the coefficient of the squared expression?</h3>
A parabola is represented as:
y = a(x - h)^2 + k
Where:
Vertex = (h,k)
From the question, we have:
(h,k) = (-2,-3)
(x,y) = (-5,-2)
So, the equation becomes
-2 = a(-5 + 2)^2 - 3
Add 3 to both sides
1 = a(-5 + 2)^2
Evaluate the sum
1 = a(-3)^2
This gives
1 = 9a
Divide both sides by 9
a = 1/9
Hence, the coefficient of the squared expression is 1/9
Read more about parabolas at:
brainly.com/question/4061870
#SPJ1
The answer would be $3.15 :)