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Yuliya22 [10]
4 years ago
7

What is the general equation of a sine function with an amplitude of 6, a period of pi/4, and a horizontal shift of pi/2?

Mathematics
1 answer:
agasfer [191]4 years ago
4 0

The general equation of the sine function y=f(x) is defined as

Y=AsinB(x-C)+D

where A is the Amplitude

B represents the frequency of the function with period equals 2\pi/B

C represents the Horizontal shift, For Phase shift= -C/B

D represents the Vertical shift.

The data given that the amplitude of the function A=6

B=\frac{2\pi}{Current\,  period}=\frac{2\pi}{\pi/4}=8

Vertical shift D= 0

Horizontal Shift C= \pi/2

Now plug in \neq A=6, B=8\,  and \, C=\pi/2 in the general equation of sine function, we get

y=6\sin8(x-\pi/2)+0\\y=6\sin 8(x-\pi/2))

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Harlamova29_29 [7]

Answer:

Step-by-step explanation:

idk number one.

Number 2- the answer is (C) because $6.50 minus the $5 is $1.50 and then that divided by $0.50 is 3.

Number 3- The answer is (A) and i dont feel lie explaining it

Number 4- The answer is (B)

Number 5- Im just going to say that it's probably going to be (C)

Number 6- i think its (D)

6 0
3 years ago
Bert earns $35,000 gross annual salary. In Bert's jurisdiction there is a progressive tax system with rules as follows: Any amou
Bogdan [553]

Answer:

7.5

Step-by-step explanation:

Given;

  • Bert earns $35,000 gross annual salary
  • Any amounts earned up to $20,000 are taxed at x%
  • Any amounts earned beyond $20,000 are taxed at 20%
  • Bert pays $4,500 per annum in income tax

To find x

Amount earned beyond $20,000

= $35,000 - $20,000

= $15,000

That is the amount to be taxed at 20%

Therefore,

x% × 20000 + 20% × 15000 = 4500

200x + 3000 = 4500

200x = 4500 - 3000

200x = 1500

x = 1500/200

x = 7.5

5 0
4 years ago
Michael has $10 to put in a savings account . He has two options for a saving account : Option 1 will add $ 100 to his account e
nekit [7.7K]

Answer:

Option 1:

He starts with $10, and for each week, we add $100

Then his balance as a function of weeks will be:

f(w) = $10 + $100*w

option 2.

Again, we start with $10, and for each week that passes this is doubled, then the equation will be:

g(w) = $10*(2)^w

Now, we want in week w = 7 to have at least $700, then we need to replace w by 7 in both equations and see which one is better.

option 1:

f(7) = $10 + $100*7 = $710

With option 1 he will have enough

option 2:

g(7) = $10*(2)^7 = $1280

Again, he will have more than $700 in week 7, and we can clearly see that this option is better.

5 0
3 years ago
Given 2x = -4y + 6 find the x intercept
8_murik_8 [283]

Step-by-step explanation:

2x = -4y + 6

To find the x intercept of the equation set y = 0 that's change the value of y by zero in order to find x

That's

2x = - 4(0) + 6

2x = 6

Divide both sides by 2

x = 3

<h3>The x intercept is 3 or ( 3 , 0) </h3>

Hope this helps you

5 0
4 years ago
Hi please help me as soon as possible:
sammy [17]

Answer:

Percentage = 14.2%

Step-by-step explanation:

<u>Given the following data;</u>

Cost of plane ticket = £588

Airport tax = $130

£1 = $1.34

To find the percentage of the total cost spent on airport tax;

First of all, we would convert the ticket cost in pounds (£) to dollars ($).

Cost of plane ticket = £588 to $ = 588 * 1.34 = $787. 92

Total cost = Cost of plane ticket + Airport tax

Total cost = 787. 92 + 130

Total cost = $917.92

Percentage \; cost = \frac {130}{917.92} * 100

Percentage  = 0.1416 * 100

<em>Percentage cost = 14.16 to 1 d.p = 14.2%</em>

<em>Therefore, the percentage of the total cost spent on airport tax by Rimo is 14.2 percent. </em>

6 0
3 years ago
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