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Helga [31]
3 years ago
14

for a short time after a wave is created by wind the height of the wave can be modeled using y= a sin 2pit/T where a is the ampl

itude and T is the period of the wave in seconds. Srite an equation for the given function given the amplitude =4, period =4pi, phase shift = -4/3pi, vertical shift = -2
Mathematics
1 answer:
dangina [55]3 years ago
6 0

Answer:

y = 4 sin(t/2 + 4π/3) − 2

Step-by-step explanation:

General form:

y = a sin(2π/T t)

Given a = 4 and T = 4π:

y = 4 sin(2π/(4π) t)

y = 4 sin(t/2)

Add horizontal shift of -4π/3 and vertical shift of -2:

y = 4 sin(t/2 − (-4π/3)) − 2

y = 4 sin(t/2 + 4π/3) − 2

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The area of a parking lot is 805 square meters. A car requires 5 meters and a bus requires 32 square meters of space. There can
zlopas [31]

Answer:

  80 cars will maximize revenue

Step-by-step explanation:

The revenue per square meter for parked cars is ...

  $2.00/5 = $0.40

The revenue per square meter for buses is ...

  $6.00/32 = $0.1875

Thus the available space should be used to park the maximum number of cars.

80 cars should be in the lot to maximize income.

6 0
3 years ago
Which of the following is a point-slope equation of a line that passes through
Lesechka [4]

Answer:

Step-by-step explanation:

In order to write the equation of the line in point-slope form that goes through those points, we need to know the slope of that line. Therefore,

m=\frac{-7-5}{4-10}=\frac{-12}{-6}=2 So the slope is 2. Now we'll pick a point and use it to write an equation in point-slope form. I'll use the first point given to see if that's the one used in any of the answers : (10, 5)

y - 5 = 2(x - 10). That's choice B. Let's see, just in case there are 2 answers to this, what the equation would be using the other point (4, -7):

y - (-7) = 2(x - 4) and simplified:

y + 7 = 2(x - 4) is the other equation. Since that's not a choice, the only answer is B

7 0
3 years ago
An evergreen nursery usually sells a certain shrub after 9 years of growth and shaping. The growth rate during those 9 years is
Volgvan

Answer:

(a) After t years, the height is

18t² + 3t + 10

(b) The shrubs are847 cm tall when they are sold.

Step-by-step explanation:

Given growth rate

dh/dt = 1.8t + 3

dh = (18t + 3)dt

Integrating this, we have

h = 18t² + 3t + C

When t = 0, h = 10cm

Then

10 = C

So

(a) h = 18t² + 3t + 10

(b) Because they are sold after every 9 years, then at t = 9

h = 18(9)² + 3(9) + 10

= 810 + 27 + 10

= 847 cm

3 0
3 years ago
GARY DREW A RECTANGLE WITH A PERIMETER OF 20 INCHES. WHAT COULD BE THE LENGTH,WIDTH,AND AREA FOR THE RECTANGLE THAT GARY DREW?
Ilia_Sergeevich [38]
Assume L=1.5W, where W=width, L= Length of the triangle.

Therefore,

Perimeter (P) = 2(W+L) = 2(W+1.5W) = 2(2.5W) = 5W=20 => W=20/5 = 4 in

Then, L=1.5W = 1.5*4 = 6 in

Area, A= L*W = 6*4 = 24 in^2
8 0
4 years ago
Please help me I will give you the brain thing with extra points, please help me. 5/5
RideAnS [48]

Answer:

I think it's C

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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