ANSWER
Quotient:

Remainder:

EXPLANATION
The given functions are

and

We want to find the remainder and quotient when f(x) is divided by g(x).
We perform the long division as shown in the attachment.
The quotient is

The remainder is
Answer:
Kevin is going to be able to have enough money for the concert the fastest
Philip needs at least 4 weeks
Kevin needs at least 3 weeks
Step-by-step explanation:
<u>Philip</u>
- $8.75/hour * 6 hours/weekend * 1 weekend/week = $52.5/week
Let's call x to the number of weeks Philip needs to reach $225.
52.5*x + 45 = 225
52.5*x = 225 - 45
x = 180/52.5
x = 3.43
He needs at least 4 weeks
<u>Kevin</u>
- 3 hours/day * $7.5/hour *3 days/week = $67.5/week
Let's call y to the number of weeks Kevin needs to reach $225.
67.5*y + 30 = 225
67.5*y = 225 - 30
y = 195/67.5
y = 2.9
He needs at least 3 weeks
Answer:
0.3 is the answer
Step-by-step explanation:
Answer: height = 6, radius = 8, Volume = 401.92
Explanation:
Height = 6 given
Find radius:
Use Pythagorean’s theorem to find the side of the right triangle:
a^2 + b^2 = c^2
b^2 = c^2 - a^2
b^2 = 10^2 - 6^2
b^2 = 100-36
b^2 = 64
b = 8
And since length b is also the radius of the circle then radius = 8
Find volume:
V = pi x r^2 x h/3
V = 3.14 x 8^2 x 6/3
V = 3.14 x 64 x 2
V = 401.92
It represents the prices of each item.