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fredd [130]
3 years ago
7

The graph of y=sin(x-3π/2) is the graph of the y=sin(x) shifted in which direction​

Mathematics
1 answer:
pychu [463]3 years ago
5 0

Answer:

\frac{3\pi}{2}  units to the right

Step-by-step explanation:

If we have a parent function y = Sin(x), the function

  • y = Sin(x-b) would be the parent shifted b units right
  • y = Sin (x+b) would be the parent shifted b units left

The function given is y=Sin(x-\frac{3\pi}{2})

So from the rules, we can clearly say that it is parent function shifted RIGHT by  \frac{3\pi}{2} units.

2nd answer choice is correct.

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Triangle EFG is dilated by a scale factor of 1/4 ​ to form triangle E'F'G'. Side E'F' measures 12.512.5. What is the measure of
WINSTONCH [101]

Answer: 3.125

Step-by-step explanation:

Given

Triangle is dilated by a factor of \frac{1}{4} i.e. each side multiplies to 0.25.

Side E'F' becomes 0.25 times the original length

\Rightarrow E'F'=\dfrac{1}{4}\times 12.5=3.125

6 0
3 years ago
Blake is cutting a piece of rope into fourths. if each piece is 16 inches long, what is the length of the entire rope?
Anastaziya [24]

Answer:

64 inches

Step-by-step explanation:

If there are four sections of rope and each piece is 16 inches long then we know that 16 times 4 is 64. So your answer is 64 inches lon

8 0
3 years ago
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Find the solution of w(-15-w)=0
inna [77]

Answer:

w(-15-w)= 0

w= 0 or (-15-w) = 0

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-15-w =0

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So,The solution of w(-15-w) = 0

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5 0
3 years ago
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The director of a state agency believes that the average starting salary for clerical employees in the state is less than ​$35 c
MrRissso [65]

Answer:

There is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 35,000 dollars per year

Sample mean, \bar{x} = 34,700 dollars per year

Sample size, n = 100

Alpha, α = 0.10

Population standard deviation, σ = 3,500 dollars per year

First, we design the null and the alternate hypothesis

H_{0}: \mu = 35,000\text{ dollars per year}\\H_A: \mu < 35,000\text{ dollars per year}

We use one-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{34700 - 35000}{\frac{3500}{\sqrt{100}} } = -0.8571

Now, z_{critical} \text{ at 0.10 level of significance } = -1.28

Since,  

z_{stat} > z_{critical}

We fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

3 0
3 years ago
Please solve 3(-4 + x) &lt; -33
Dvinal [7]

<u><em>Answer:</em></u>

<u><em>x < -7</em></u>

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<em><u>Divide both sides by 3</u></em>

<em><u>simplify</u></em>

<em><u>add 4 to both sides</u></em>

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