Answer:
6 times
Step-by-step explanation:
Let the number of times you visit the pool = x
At a local swim club you can purchase an annual membership for 24 dollars which will allow you 1 dollar admission to the pool all summer.
= $24 + $1× x
= 24 + x
If you do not purchase the membership the pool admission is 5 dollars.
= 5 × x
= 5x
Hence:
24 + x = 5x
Collect like terms
24 = 5x - x
4x = 24
x = 24/4
x = 6 times
The number of times you must visit the pool with a membership that would equal the cost of paying full price is 6 times.
Don't know very very very sorry
We know that
the area of a regular polygon is A=(1/2)*a*P
where
a is the apothem
and P is the perimeter
step 1
find the distance of the apothem
d=√[(y2-y1)²+(x2-x1)²]-----> d=√[(3)²+(-4)²]------> d=√25-----> d=5 units
A=(1/2)*a*P
a=5 units
P=40 units
A=(1/2)*5*40-----> A=100 units²
The volume of the solid generated by revolving the region bounded by the given curve and lines about the x-axis is V = 8π/3
<h3>What is the Volume of a solid?</h3>
The volume of a solid, given by the function f(x), over an interval between a and b, is given by:
To find the area, integrate around that area. We're revolving around the x-axis so the area will be a circle;
V = ∫A(x)dx = ∫(πr²)dr
Then we subtract them from each others.
∫(πr₂² - πr₁²)dr
Now substitute the value and integrate;
∫(π(2)² - π(2x)²)dr
∫(4π - 4πx²)dr
4π∫(1 - x²)dr
Now integrate from 0 to 1 since that's where our boundary is.
V = 4π∫(1 - x²)dr = 8π/3
Therefore, The volume of the solid generated by revolving the region bounded by the given curve and lines about the x-axis is V = 8π/3
Learn more about the volume here;
brainly.com/question/21080169
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8x1/3 is in the simplest form. 8x1/3=7 3/3x1/3=8 3/9. 8 3/9=8 1/3.
Simplest Form: 8 1/3