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djyliett [7]
3 years ago
6

Simplify:

Mathematics
1 answer:
wlad13 [49]3 years ago
5 0

Answer:

The answer to your question is  letter C. 7y³  + 7n²y²  - 22y²

Step-by-step explanation:

                                   y²(4y + 7n² + 2) - 3y² (-y + 8)

Multiply

                                 4y³ + 7n²y² + 2y² + 3y³ - 24y²

Use the associative property for like terms

                               (4y³ + 3y³) + (2y² - 24y²) + 7n²y²

Simplify like terms

                                7y³ - 22y² + 7n²y²   or    7y³  + 7n²y²  - 22y²        

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Jason designs a rectangular sandbox. He models the perimeter of the sandbox using the expression 8l+2, where l is the length of
inn [45]

Answer:

A   .The expression 2l+2(3l+1) shows the width is 1 more than 3 times the length.

Step-by-step explanation:

p = 8l + 2

Length = l

Width:

2w = p - 2l

2w = (8l + 2) - 2l

2w = 6l + 2

w = 3l + 1

Therefor w is 3 times the length plus 1

7 0
3 years ago
Help me please please
Mariana [72]

Answer:

scale factor P to Q: 4/5   scale factor Q to P: 5/4

Step-by-step explanation:

Divide original length over new length and you'll get the scale factor.

5 0
3 years ago
On the blueprint of a house, 40 millimeters represents 6 meters. The length of the living room is 50 millimeters on the blueprin
Novay_Z [31]

Answer:

Convert the meters to millimeters

1m = 1000mm

6m = 6000mm

40mm represents 6000mm

Find the scale factor

6000/40 = 150

This means 40 * 150 = 6000

Yup find what 50mm represents:

50 * 150 = 7500

7500mm

7.5m

6 0
3 years ago
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
At a rate of 4 gallons per minute how long will it take to fill a 300 gallon swimming pool
Ivanshal [37]

Answer:

1 hour and 50 minutes will take to fill up a 300 gallon swimming pool explanation just do the quation/math

     

7 0
3 years ago
Read 2 more answers
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