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zubka84 [21]
3 years ago
13

The graph of y = sine (x minus StartFraction 3 pi Over 2 EndFraction) is the graph of the y = sin(x) shifted in which direction?

Mathematics
2 answers:
sukhopar [10]3 years ago
7 0

Answer: shifted by  3*pi/2 units to the right.

Step-by-step explanation:

Here we have:

y = sin(x - 3*pi/2)

now, you need to remember this:

if we have y = f(x)

then y' = f(x - A) is the graph of y, shifted A units to the right (where A is a positive number).

If A is negative, the shift is to the left.

Then in this case, we have:

sin(x) -----> sin( x - 3*pi/2)

A = 3*pi/2

Then we have the graph shifted by  3*pi/2 units to the right.

navik [9.2K]3 years ago
3 0

Answer:

C. 3pi/2 units to the right

Step-by-step explanation:

(I got it right on edge)

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The souvenir stand sells hats, postcards, and magnets. They have twice as many postcards as hats, and 100 more magnets than post
Ratling [72]

Answer:

4h + 100

Step-by-step explanation:

h = total number of hats

postcards = 2h

magnets = h + 100

Add them all together:

h + 2h + h + 100 = 4h +100

8 0
2 years ago
PLEASE HELP THIS IS DUE TODAY
Neporo4naja [7]

The Mean Absolute Deviation is commonly known as MAD. The correct statement about the situation is D.

<h3>What is the Mean Absolute Deviation?</h3>

The Mean Absolute Deviation, commonly known as MAD is the average of the difference between the mean and the data points, it can also be referred to as the average of the deviations of the data points from the mean.

Given Two months ago, the mean daily rainfall in a local city was 9.4 cm. The mean absolute deviation was 3.5 cm. Last month, the mean daily rainfall in that city was 11.5 cm, and the mean absolute deviation was 1.6 cm.

As it is known that more MAD for data points means more deviation of the data points from the mean, while it is vice versa if it is less. Therefore, we can conclude Last month, the amount of rain that fell each day varied less than the month before.

Hence, the correct statement about the situation is D.

Learn more about the Mean Absolute Deviation:

https://brainly.in/question/8755707

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5 0
1 year ago
12+root of 35 divided by 2 + 12-2 root of 35 divided by 2
nadya68 [22]
So : 12+ \frac{\sqrt{35}}{2} + \frac{12-2 \sqrt{35} }{2}?

First, you want to bring everything together on the top of the fraction. 
12=24/2 so you can have \frac{24+ \sqrt{35}+12-2 \sqrt{35} }{2}

Add like terms -- 12 +24 = 36       \sqrt{35}-2 \sqrt{35} = \sqrt{35}

Now we are at \frac{24+ \sqrt{35} }{2} Which is the lowest possible simplified version while remaining at exact value. 

Feel free to check my math! I kinda did this off the top of my head. 
8 0
3 years ago
Madeline invested $51,000 in an account paying interest rate of 6 1/8% compounded daily. Harper invested 51000 in an account pay
LenaWriter [7]

Answer:

$5564.87

Step-by-step explanation:

We are to determine the difference between the future values of each investment

The formula for calculating future value:

FV = P (1 + r)^mn

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding

Madeline

P = Present value = 51,000

R = interest rate = 0.06125 / 365 = 0.000168

N = number of years = 13

m = number of compounding = 365

51,000 x (1.000168)^4745  = 113,070.20

Harper

51,000 x (1.004792)^156 = 107,505.33

Difference = 113,070.20 - 107,505.33 = $5,564.87

6 0
2 years ago
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A copy machine makes 84 copies in 3 minutes and 30 seconds, how many copies does it make per minute.
matrenka [14]

Answer:

24

Step-by-step explanation:

3 minutes and 30 seconds = 3.5 minutes

84/3.5 = 24copies/minute

4 0
2 years ago
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