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dezoksy [38]
3 years ago
6

What is the period of the sinusoid given by y= -3 cos (2pi/5x)?

Mathematics
1 answer:
8090 [49]3 years ago
7 0
<h3>Answer: 5</h3>

Work Shown:

y = -3cos(2pi/5x) is in the form y = A*cos(Bx) where |A| is the amplitude and B helps determine the period T. In this case, B = 2pi/5

T = 2pi/B

T = 2pi/(2pi/5) ... replace B with 2pi/5

T = (2pi/1) divided by (2pi/5)

T = (2pi/1) * (5/2pi)

T = 5 ... note how the '2pi' terms canceled out

So the period is 5

This means that every 5 units on the x axis is when the graph repeats itself.

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Abby counts 12 large boxes and 18 small boxes of pencils in the supply cabinet. Each large box contains 144 pencils . Each small
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Answer:

2,160 pencils

Step-by-step explanation:

Large boxes = 12

Small boxes = 18

Each large box contains 144 pencils . Each small box contains 24 pencils

Total pencil in large boxes = Total large boxes × number of pencils per box

= 12 × 144

= 1,728 pencils

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= 18 × 24

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Estimate the total number of of pencils

Total number of pencils = total pencils in large boxes + total pencil in small boxes

= 1,728 pencils + 432 pencils

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Answer:

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