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Shtirlitz [24]
2 years ago
9

Please help asap! thx

Mathematics
1 answer:
vovikov84 [41]2 years ago
3 0

Answer:

y = 0

Step-by-step explanation:

The given sinusoidal equation is y = 2 \cdot sin \left(\dfrac{\pi}{2} \cdot x + 3 \right)

The general form of the sin function is presented as follows;

y = A·sin(B·(x - C)) + D

Where;

A = The amplitude

The period, T = 2·π/B

The frequency, f = B/2·π

C = The horizontal shift

D = The vertical shift

By comparison with the given sine function, we have;

The amplitude, A = 2

The frequency, f = B/2·π = π/2/(2·π) = 1/4

The frequency, f = 1/4 Hz

C = The horizontal shift = 3/(π/2) = 6/π

The vertical shift, D = 0

Given that the mid line of the parent function, sin(x), is the line y = 0, and that the vertical shift is 0, the midline of the function, y = 2 \cdot sin \left(\dfrac{\pi}{2} \cdot x + 3 \right), is therefore, the line;

y = 0.

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The ratio of boys to girls in the band is 3:6 if there are 81 students in the band how many boys are in the band
Alexandra [31]

Answer:

27 boys

Step-by-step explanation:

The ratio of boys to girls is 3 to 6.  The total is (3+6) is 9.

Using the ratio of boys to total (3 to 9), we set it equal to the ratio of boys to total students (81)

3               b

---- = -------------

9          81

We can solve this using cross products.

3*81 = 9b

243 = 9b

Divide each side by 9

243/9 =9b/9

27 =b

There are 27 boys

8 0
3 years ago
What is 74 multiply by 65?
Nady [450]
That equals 4,810. Make sure to have a placeholder when you multiply
4 0
3 years ago
14. A satellite orbits 22, 300 miles above the equator. It completes one revolution in 24 hours. Assume that the radius of the E
quester [9]

Answer:

Displacement = 0 mi

Distance = 164,996.45 mi

Step-by-step explanation:

In this case, the displacement will be zero because the satellite goes back to its starting point after one day. If there is no distance traveled between the starting point and the ending point, then the Displacement will be zero.

When it comes to the distance, we will need to calculate the perimeter of the circle the satellite describes when making one whole turn around the earth.

The perimeter of a circle is given by the equation:

p=2\pi r

so we need to start by finding what the radius of the circle is. This radius if found by adding the radius of the earth and the distance above the equation the satellite is located at, so we get that:

r=r_{earth}+h

where h is the height of the satellite, so the radius of the circle is:

r=22,300mi + 3,960 mi

so

r=26,260 mi

so now we can use the perimeter equation to get:

p=2\pi r

p=2\pi (26,260)

So the distance traveled by the satellite in one day will be:

P=164,996.45 mi.

7 0
2 years ago
The volume of a cylinder is 9080 in.³ the same height of the cylinder is 20 inches what is the radius of the cylinder express yo
insens350 [35]

Answer:

12.02 inches

Step-by-step explanation:

recall, volume of a cylinder is given by

V = πr²h

where r is the radius of the cylinder and h = the height

hence

9080 = π x r² x 20

r² = 9080 ÷ 20π = 144.513

r = √144.513 = 12.02 inches

7 0
3 years ago
Read 2 more answers
ANSWER ASAP PLEASEEEEEE
expeople1 [14]

Answer:

the answer is A

Step-by-step explanation:

....................

8 0
2 years ago
Read 2 more answers
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