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Sergio039 [100]
3 years ago
10

Complete the general form of the equation of a sinusoidal function having an amplitude of 4, a period of π , and a phase shift t

o the right 2 units.
Mathematics
1 answer:
alex41 [277]3 years ago
8 0

Answer:

4 sin (2x - 4).

Step-by-step explanation:

The amplitude of  sin x = 1 so our curve with amplitude 4 will have 4 sin x as part of the general form. To alter the period from 2pi to pi we multiply the x by 2, giving 4 sin 2x, Finally to get a phase shift of 2 to the right, we replace the x by x - 2.

Our formula is  4 sin (2(x - 2))

= 4 sin (2x - 4).

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A rocket in the shape of acone is attached to a cylinder with the same base radius the cone has aslant height of 15m the cylinde
Nataliya [291]

Answer:

the total surface area of the rocket: 1978.2  m^{2}  

Step-by-step explanation:

Given that :

  • A rocket in the shape of a cone
  • The aslant height: 15m
  • The base diameter: 12m <=.> Radius: 6m
  • The height: 42

So the surface area of a a cone with about the base area because it is attached to a cylinder:

= π*r*l = 3.14*6*15 = 282.6 m^{2}

The area of the cylinder is: 2*π*r*h+pi*r^{2} (without the top part of it)

= 2*3.14*6*42 + 3.14*6^{2}

= 1695.6 m^{2}  

At the end, the total surface area of the rocket:

1695.6 m^{2}  + 282.6 m^{2} = 1978.2  m^{2}  

7 0
3 years ago
A certain store sells only black shoes and brown shoes. In a certain week, the store sold x black shoes and y brown shoes. If 2/
Stolb23 [73]

Answer:

y=\frac{x}{2}

Step-by-step explanation:

Let total x black and y brown shoes are sold in a week

So total number of shoes sold in a week is = x+y

It is given that \frac{2}{3} of all shoes sold are black

So \frac{2}{3}(x+y)=x

y=\frac{x}{2}

So the number of brown shoes sold in a week in terms of black shoes are x/2

5 0
3 years ago
The sum of Debbie and Joan’s present ages is 59 years. In 5 years, twice Debbie’s age will be equal to Joan’s age. Determine the
meriva

Answer: D-18 years, Joan-41 years

Step-by-step explanation:

Given

The Sum of Debbie and Joan's age is 59

Take x and y as the age of Debbie and Joan

In 5 years, twice Debbie's age will be equal to Joan's age

\Rightarrow 2(x+5)=y+5

\Rightarrow 2x+10=y+5\\\Rightarrow 2x-y=-5

Also, x+y=59

solving these two equations we get

\Rightarrow x=18;y=41

7 0
2 years ago
Is the equation 8x12x5 =- 8x(12x5) an associative property or distributive property equation?
Vikki [24]
Well it is distributive but you don't but the multiplication sign by the 8 with the parenthesis so it would be 8(12*5) and then you do 8*12 which is 96 and then 8*5 which is 40 and then add 96+40
4 0
3 years ago
Read 2 more answers
Help plz i will give brainliest!!
melamori03 [73]
Precipitation is when liquid falls from the atmosphere and reach the surface of the Earth. Condensation is when water vapor changes back into water (in liquid form).
8 0
3 years ago
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