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zvonat [6]
2 years ago
12

A local drive in theatre sells entrance tickets for cars on weekend nights. At compacity, the drive in can hold 72 cars. The fun

ction C(n)=25n represents the drive in' s revenue on a weekend night, where n represents the number of cars. In this situation, what is the domain of C(n)
Mathematics
2 answers:
Deffense [45]2 years ago
8 0

Answer with explanation:

On the Weekend night, Number of cars that Drive in Can Hold =72

Minimum number of cars that can be on any weekend night = 0

Maximum number of cars that can be on any weekend night = 72

It is also given that, C(n)= 25 n, represents the drive in's revenue on a weekend night.

As, the, 0≤ number of cars(n) ≤ 72 , where n=1,2,3,4,5,6.......72.

So→, 25 × 0 ≤ C (n) ≤ 25 × 72

→ 0 ≤ C(n) ≤ 1800

So, if number of cars,

0≤ (n) ≤ 72, then

0 ≤ C(n) ≤ 1800

Domain of C(n) =[0,1800],for, n∈[0,72]

Paraphin [41]2 years ago
4 0
All positive integers less than or equal to 72<span />
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sineoko [7]

Answer:

y=-2x+8

Step-by-step explanation:

first is to find the slope

m=(y2-y1) /(x2-x1)= (2-4)/(3-2)=-2/1= -2

now using the line formula of y=m*x+b, put in one of the points and solve for b.

2= -2*3 + b

2= -6 + b

8 = b

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3 years ago
Find the surface area of the triangular prism.
Ivahew [28]

The surface area of the triangular prism is 93 squared feet.

<h3>What is the surface area of the triangular prism?</h3>

The surface area of triangular prism is expressed as;

S.A = bh + ( s₁ + s₂ + s₃ )H

From the diagram;

  • h = 2ft
  • b or s₁ = 3ft
  • s₂ = 3ft
  • s₃ = 3ft
  • H = 10ft

We substitute our given values into the equation above.

S.A = bh + ( s₁ + s₂ + s₃ )H

S.A = (3ft × 2ft) + ( 3ft + 3ft + 3ft )10ft

S.A = 3ft² + ( 9ft )10ft

S.A = 3ft² + 90ft²

S.A = 93ft²

The surface area of the triangular prism is 93 squared feet.

Learn more about prisms here: brainly.com/question/21079821

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6 0
2 years ago
What is 30 minutes as a percentage of an hour?
ladessa [460]


 30 minutes is half of an hour so it would be 50%.

8 0
3 years ago
On day t=0t=0t, equals, 0, the stock is at its average value of {\$}3.47$3.47dollar sign, 3, point, 47 per share, but 91.2591.25
Norma-Jean [14]

Answer:

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

a = -1.5, b = (2π/365), d = 3.47

S(t) = -1.5 sin (2πt/365) + 3.47

Step-by-step explanation:

Complete Question is presented in the attached image to this solution.

- Dingane has been observing a certain stock for the last few years and he sees that it can be modeled as a function S(t) of time t (in days) using a sinusoidal expression of the form

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

On day t = 0, the stock is at its average value of $3.47 per share, but 91.25 days later, its value is down to its minimum of $1.97.

Find S(t). t should be in radians.

S(t) =

Solution

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

At t = 0, S(t) = $3.47

S(0) = a.sin(b×0) + d = a.sin 0 + d = 3.47

Sin 0 = 0,

S(t=0) = d = 3.47.

At t = 91.25 days, S(t) = $1.97

But, it is given that T has to be in radians, for t to be in radians, the constant b has to convert t in days to radians.

Hence, b = (2π/365)

S(91.25) = 1.97 = a.sin(b×91.25) + d

d = 3.47 from the first expression

S(t = 91.25) = a.sin (91.25b) + 3.47 = 1.97

1.97 = a.sin (2π×91.25/365) + 3.47

1.97 = a sin (0.5π) + 3.47

Sin 0.5π = 1

1.97 = a + 3.47

a = -1.5

Hence,

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

a = -1.5, b = (2π/365), d = 3.47

S(t) = -1.5 sin (2πt/365) + 3.47

Hope this Helps!!!

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Show all work &amp; simplify ³√64
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-∛64 means that x³= 64
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