Answer:
<em>The volume of the cube is </em> 
<em>cu in.</em>
Step-by-step explanation:
<u>The Volume of a Cube</u>
Let's have a cube of side length a. The volume of the cube is:
The cube of the image has a side length of
Simplifying the expression of the base by converting the negative exponent in the numerator to the denominator:
Now find the volume:
Applying the exponents:
The volume of the cube is 
cu in.
This is a geometric sequence because each term is twice the value of the previous term. So this is what would be called the common ratio, which in this case is 2. Any geometric sequence can be expressed as:
a(n)=ar^(n-1), a(n)=nth value, a=initial value, r=common ratio, n=term number
In this case we have r=2 and a=1 so
a(n)=2^(n-1) so on the sixth week he will run:
a(6)=2^5=32
He will run 32 blocks by the end of the sixth week.
Now if you wanted to know the total amount he runs in the six weeks, you need the sum of the terms and the sum of a geometric sequence is:
s(n)=a(1-r^n)/(1-r) where the variables have the same values so
s(n)=(1-2^n)/(1-2)
s(n)=2^n-1 so
s(6)=2^6-1
s(6)=64-1
s(6)=63 blocks
So he would run a total of 63 blocks in the six weeks.
Answer:
25
Step-by-step explanation:
144/60 = 2.4
60/2.4 = x
x = 25
Answer:
About $241.11
Step-by-step explanation:
So, Karen receives 18.2 cents per paper.
She delivers 124 paper per day.
In other words, on days other than Sunday, she will make a total of:
On Sunday, each paper is sold for $0.70 or 70 cents. She also sells 151 Sunday papers. Thus, on a Sunday, she will make a total of:
Therefore, in one week, she will do the first equation six times and the Sunday equation once. Thus, her total pay will be:
Answer: 38 degrees equal 68 degrees which is equal 38 percent is 56% is half of 68% so the answer is 24
Step-by-step explanation:
