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BlackZzzverrR [31]
3 years ago
13

A porch has the shape of a quarter circle. If the porch was a complete circle it would have a diameter of 5 ft. What is the appr

oximate area of the porch, rounded to the nearest square foot? Use 3.14 to approximate pi star times.
Mathematics
1 answer:
Sladkaya [172]3 years ago
3 0
Normally, to find the area of a circle you'd do π × r^{2} so you have to find the radius by dividing 5 by 2 to get 2.5. Approximating pi as 3.14, you would do 3.14 × 2.5^{2} = 19.625. Because the porch is a quarter circle, you would then divide this by 4 to get 4.906. Rounded to the nearest square foot, your answer would therefore be 5 ft. I hope this helps!
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The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars ea
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A) zeroes

P(n) = -250 n^2 + 2500n - 5250

Extract common factor:

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Factor (find two numbers that sum -10 and its product is 21)

P(n) = -250(n - 3)(n - 7)

Zeroes ==> n - 3 = 0  or n -7 = 0
Then n = 3 and n = 7 are the zeros.

They rerpesent that if the promoter sells tickets at 3  or 7 dollars the profit is zero.

B) Maximum profit

Completion of squares

n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4

P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000

Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000

Maximum profit =1000 at n = 5

C) Axis of symmetry

Vertex = (h,k) when the equation is in the form A(n-h)^2 + k

Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000

Vertex = (5, 1000) and the symmetry axis is n = 5.



8 0
3 years ago
A grocer sells 30 loaves of bread a day. The cost is $2.50 per loaf. The grocer estimates that for each $0.50 increase in cost,
Viktor [21]

Answer:

none of the above

Step-by-step explanation:

The grocer's revenue will be the product of the number of loaves sold (30-2x) and their price (2.50+0.50x).

Revenue will be positive for values of x between those that make these factors be zero. The number of loaves sold will be zero when ...

... 30 -2x = 0

... 15 -x = 0 . . . . . divide by 2

... x = 15 . . . . . . . add x

The price of each loaf will be zero when ...

... 2.50 +0.50x = 0

... 5 + x = 0 . . . . . . . multiply by 2

... x = -5 . . . . . . . . . . subtract 5

Revenue will be positive for any number of increases greater than -5 and less than 15.

_____

D is the best of the offered choices, but it is incorrect in detail. -5 is a number less than 15, but will give zero revenue.

4 0
3 years ago
Which of the following is an example of the Associative Property?
photoshop1234 [79]
(13 + 20) + 15 = 13 + (20 + 15)
3 0
3 years ago
Write the polynomial in standard form. Then find its degree and the leading coefficient.
Contact [7]

Answer:

6c^5+4c−301, assuming that you meant 6c^5  

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2 years ago
Find the quotient. (6x 2 - x - 40) ÷ (5 + 2x) 8 - 3x 3x + 8 3x - 8
Artyom0805 [142]

Answer:

The quotient is 3x-8

Step-by-step explanation:

(6x^2-x-40)÷ (5 + 2x)

The above equation can be written as

(6x^2-x-40)÷ (2x + 5)

The division is shown in the figure below.

The quotient is 3x-8

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