MATHEMATICS HIGH SCHOOL

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What is the period of the sinusoidal function?

Answers

Answer 1
Answer:

Given y = A sin (Bx + C) + D

  • amplitude is | A |
  • period is \bold{\frac{2\pi}{\text{B}}}
  • phase shift is {-\frac{\text{C}}{\text{B}}}
  • vertical shift is D

A cos function is the same as a sin function.

A tan function has a period of π, so the period is \frac{\pi}{\text{B}}

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Find the new amount. 25 penalties decreased by 32% is penalties.

Answers

Answer:

17

Step-by-step explanation:

100%-32%=68%

25*0.68=17

There are 5 gears connected in a row, the first one is connected to the second one, the second one is connected to the third one, and so on.If the first gear is rotating clockwise, what direction is the fifth gear turning?

Answers

Answer:

fifth gear is also rotating clockwise

Trapezoid PSTK is isosceles. SK = 20, SH = 12, If ST = 1 4 HK, find HK, APTSK, m∠P, and PS. Find HK, Area of pstk, HK and PS

Answers

Answer:

HK = 16

Step-by-step explanation:

12^2+x^2=20^2

x = HK

Write a linear equation that passes through the point (2,-9) and has a slope of -5

Answers

Answer:

  • y = -5x + 1

Step-by-step explanation:

Given:

  • The slope m = -5 and point (2, -9)

Use point slope form:

  • y - y₁ = m(x - x₁), where (x₁, y₁) is the given point

So the equation is:

  • y - (-9) = -5(x - 2)
  • y + 9 = -5x + 10
  • y = -5x + 1

On the way back home, the Anderson family must stop at the gas station to fill up. What isthe total distance of their trip? Round your final answer to the nearest kilometer

Answers

Answer:

The total distance will remain unchanged as the gas station is on their way to home.

Step-by-step explanation:

The total distance of the trip will the distance between home to the destination and way back. If the Anderson family is stopped to fill gas in their car. The total distance of the trip is not affected by the stop in their route. If the gas station is located far from the route they follow then the distance will change.

The price of an item yesterday was 110. Today the price fell to 33 find the percentage decrease

Answers

The amount of the decrease is    (110 - 33) = 77

The decrease as a fraction of the original amount is  ( 77 / 110 ) .

As a decimal,  77/110 = 0.7 .

To change a decimal to a percent, move
the decimal point two places that way  ==> .

                                 0.7  ==>  70% .
110-100%
33-x
X=30
100-30=70% is the answer
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