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Ugo [173]
3 years ago
6

Estimate the circumference of a circle that has a diameter of 6 ft.

Mathematics
1 answer:
irga5000 [103]3 years ago
7 0
The formula for circumference is C = 2πr, where r is the radius of the circle. However, the radius is half the diameter, so the circumference could also be calculated using the formula C = πd, where d is the diameter of the circle. π is commonly shortened to 3.14.

If the diameter of the circle is 6 feet, an estimate of the circle's circumference is 6 times 3 feet or 18 feet.

Answer:
18 ft
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Max makes and sells posters. The function p(x)= -10x^2 +200x -250, graphed below, indicates how much profit he makes in a month
viktelen [127]
Here is our profit as a function of # of posters
p(x) =-10x² + 200x - 250
Here is our price per poster, as a function of the # of posters:
pr(x) = 20 - x
Since we want to find the optimum price and # of posters, let's plug our price function into our profit function, to find the optimum x, and then use that to find the optimum price:
p(x) = -10 (20-x)² + 200 (20 - x) - 250
p(x) = -10 (400 -40x + x²) + 4000 - 200x - 250
Take a look at our profit function. It is a normal trinomial square, with a negative sign on the squared term. This means the curve is a downward facing parabola, so our profit maximum will be the top of the curve.
By taking the derivative, we can find where p'(x) = 0 (where the slope of p(x) equals 0), to see where the top of profit function is.
p(x) = -4000 +400x -10x² + 4000 -200x -250
p'(x) = 400 - 20x -200
0 = 200 - 20x
20x = 200
x = 10                         
p'(x) = 0 at x=10. This is the peak of our profit function. To find the price per poster, plug x=10 into our price function:
price = 20 - x
price = 10
Now plug x=10 into our original profit function in order to find our maximum profit:
<span>p(x)= -10x^2 +200x -250
p(x) = -10 (10)</span>² +200 (10) - 250
<span>p(x) = -1000 + 2000 - 250
p(x) = 750

Correct answer is C)
</span>
7 0
3 years ago
If r = 10 units and x = 14 units, then what is the volume of the cylinder shown above?
Agata [3.3K]

Answer:

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5 0
3 years ago
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G(x)=2x-2 <br> f(x)=x^2+3x <br> find (g of f)(2+x)
Bumek [7]

Answer:

Step-by-step explanation:

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6 0
3 years ago
If it takes 16 yards of material to make 5/2 costumes, how much material will be needed to make 19/2 costumes of that same size?
IRISSAK [1]

yards/costumes:16/(5/2) = X/(19/2)

Cross multiply.

(5/2)x = 152

Multiply both sides by 2/5.

x = 101 1/3 yards

7 0
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Its A a single outlier causes the upper quartiles to move close together 


im pretty sure

7 0
3 years ago
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