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Sergio [31]
2 years ago
6

Suppose Primo Pizza's profit on a given day is always the same as the profit of Pizza Supreme's profit 3 days later. Write a fun

ction formula for p using the function s . p ( x ) = Incorrect Write a function formula for s using the function p . s ( x ) = Incorrect
Mathematics
1 answer:
Andru [333]2 years ago
6 0

Complete Question

Each summer Primo Pizza and Pizza Supreme compete to see who has the larger summer profit.

Let p(x) represent Primo Pizza's profit (in dollars) x days after June 1. Let s(x) represent Pizza Supreme's profit (in dollars) x days after June 1.

Suppose Primo Pizza's profit each day is 1.9 times as large as the profit of Pizza Supreme.

Write a function formula for p using the function s

Answer:

The function formula for p using the function s is p(x) = 1.9s(x)

Step-by-step explanation:

Given

p(x) = Primo Pizza's profit (in dollars) x days after June 1.

s(x) = Pizza Supreme's profit (in dollars) x days after June 1.

It is given that Primo Pizza's profit each day is 1.9 times as large as the profit of Pizza Supreme.

This implies that

p(x) = 1.9*s(x)

So, p(x) = 1.9s(x)

Hence, the function formula for p using the function s is p(x) = 1.9s(x)

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Xelga [282]

Answer: P(t) = 1.25.sin(\frac{\pi}{3}.t) + 5.65

Step-by-step explanation: A motion repeating itself in a fixed time period is a periodic motion and can be modeled by the functions:

y = A.sin(B.t - C) + D or y = Acos(B.t - C) + D

where:

A is amplitude A=|A|

B is related to the period by: T = \frac{2.\pi}{B}

C is the phase shift or horizontal shift: \frac{C}{B}

D is the vertical shift

In this question, the motion of Pluto is modeled by a sine function and doesn't have phase shift, C = 0.

<u>Amplitude</u>:

a = \frac{largest - smallest}{2}

At t=0, Pluto is the farthest from the sun, a distance 6.9 billions km away. At t=66, it is closest to the star, P(66) = 4.4 billions km. Then:

a = \frac{6.9-4.4}{2}

a = 1.25

<u>b</u>

A time period for Pluto is T=66 years:

66 = \frac{2.\pi}{b}

b = \frac{\pi}{33}

<u>Vertical</u> <u>Shift</u>

It can be calculated as:

d = \frac{largest+smallest}{2}

d = \frac{6.9+4.4}{2}

d = 5.65

Knowing a, b and d, substitute in the equivalent positions and find P(t).

P(t) = a.sin(b.t) + d

P(t) = 1.25.sin(\frac{\pi}{3}.t) + 5.65

The Pluto's distance from the sun as a function of time is

P(t) = 1.25.sin(\frac{\pi}{3}.t) + 5.65

8 0
2 years ago
Volume of a cylinder pi 3.14 d=2r h=6cm d=12cm
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Answer:

V = 678.24cubic cm

Step-by-step explanation:

Volume of a cylinder

V = πr^2h

V - volume of a cylinder

π - pie

r - radius of a cylinder

h - height of a cylinder

Given:

π - 3.14

h - 6

d = 12

d = 2r

Divide both sides by 2

d/2 = 2r/2

d/2 = r

r = d/2

r = 12/2

r = 6

Insert the values into the formula

V = πr^2h

V = 3.14 * 6^2 * 6

= 3.14 * 36 * 6

= 678.24cubic cm

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Answer:

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I think it’s gonna be B
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