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devlian [24]
2 years ago
11

What is the maximum of the sinusoidal function? Enter your answer in the box.

Mathematics
1 answer:
viva [34]2 years ago
8 0

Answer:

  5

Step-by-step explanation:

All of the peaks touch the line y=5.

The maximum of the function is 5.

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jeka94
A) 15
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C) 225
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8 0
2 years ago
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A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
kipiarov [429]

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

C = Children; S = Students; A = Adults

For the capacity, we have:

C + S + A = 329

For the tickets sold, we have:

5C + 7S + 12A = 2388

Half as many as adults are children implies that:

A = \frac{C}{2}

Required

Solve for A, C and S

The equations to solve are:

C + S + A = 329 -- (1)

5C + 7S + 12A = 2388 -- (2)

A = \frac{C}{2} -- (3)

Make C the subject in (3)

C = 2A

Substitute C = 2A in (1) and (2)

C + S + A = 329 -- (1)

2A + S + A = 329

3A + S = 329

Make S the subject

S = 329 - 3A

5C + 7S + 12A = 2388 -- (2)

5*2A + 7S + 12A = 2388

10A + 7S + 12A = 2388

7S + 22A = 2388

Substitute S = 329 - 3A

7(329 - 3A) + 22A = 2388

2303 - 21A + 22A = 2388

2303 +A = 2388

Solve for A

A = 2388 - 2303

A = 85

Recall that: C = 2A

C = 2 * 85

C = 170

Recall that: S = 329 - 3A

S = 329 - 3 * 85

S = 329 - 255

S = 74

Hence, the result is:

C = 170

S = 74

A = 85

8 0
3 years ago
Find the volume of each cylinder. Which cylinder has the greater volume? Use 3.14 for π and round your answers to the nearest hu
amm1812

Answer:

cylinder A is 141.3 meters

cylinder b is 245.5 meters

Step-by-step explanation:

Cylinder a: 3x3x5x3.14

cylinder B : 5x5x3x3.14

8 0
2 years ago
The length of the transverse axis is 6 and the length of the red line segment is 14 how long is the blue line segment
lapo4ka [179]

Answer:

8

Step-by-step explanation:

it is not longer then the red line or equal but is bigger then the green line so there is how i got 8

6 0
3 years ago
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What fractional part of the day do you spend sleeping if you sleep 8 hours?
fomenos

You sleep 1/3 of the day.

5 0
2 years ago
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