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algol [13]
2 years ago
14

Distributive property Use the distributive property to remove the parentheses .{y+10}12=

Mathematics
2 answers:
malfutka [58]2 years ago
5 0

Answer:

12y + 120

Step-by-step explanation:

<u>First of, what is the distributive property?</u>

The distributive property is the property that helps distribute numbers under the parenthesis.

For example, lets use {x+1}4. You distribute the 4 towards the x and the one like this:

4(x) + 1(4)

4x + 4

Now, let's go back to your problem

<u>Solution:</u>

{y+10}12

12(y) +12(10)

= 12y + 120

<em>Hope this helps! Make sure to give me the brainliest answer since it would be greatly appreciated! Thank You! </em>

Nonamiya [84]2 years ago
3 0
Since this is the Distributive Property, you have to multiply 12 to both numbers because it’s on the outside, 12(y) + 12(10). And after doing that, your answer is going to be 12y + 120. I hope this helps :)
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Figure ABCD is reflected across the x-axis. What are the coordinates of A' , B' , C' , and D' ? Enter your answer in each box.
stealth61 [152]

Answer:

The coordinates of ABCD after  the reflection across the x-axis would become:

  • A'(2, -3)
  • B'(5, -5)
  • C'(7, -3)
  • D'(5, -2)

Step-by-step explanation:

The rule of reflection implies that when we reflect a point, let say P(x, y), is reflected across the x-axis:

  • x-coordinate of the point does not change, but
  • y-coordinate of the point changes its sign

In other words:

The point P(x, y) after reflection across x-axis would be P'(x, -y)

P(x, y)        →       P'(x, -y)

Given the diagram, the points of the figure ABCD after the reflection across the x-axis would be as follows:

P(x, y)        →       P'(x, -y)

A(2, 3)       →       A'(2, -3)      

B(5, 5)       →       B'(5, -5)

C(7, 3)        →      C'(7, -3)

D(5, 2)       →       D'(5, -2)

Therefore, the coordinates of ABCD after  the reflection across the x-axis would become:

  • A'(2, -3)
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8 0
3 years ago
3 square root of 1/125
olasank [31]

3 square root of 1/125

is 1/5

3 0
3 years ago
Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research
kolbaska11 [484]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

Yes the researcher can  conclude that the supplement has a significant effect on cognitive skill

b

d =  0.5778

c

The result of this hypothesis test shows that there is sufficient evidence to  that the supplement had significant effect.The measure of effect size is  large due to the large value of Cohen's d (0.5778 > 0.30 )

Step-by-step explanation:

From the question we are told that

  The sample size is  n=16

    The sample mean is  M  =  50.2

    The standard deviation is \sigma  = 9

    The  population mean is  \mu =  45

     The level of significance is  \alpha =  0.05

The null hypothesis is H_o  \mu =45

The alternative hypothesis is H_a  \mu \ne 45

Generally the test statistics is mathematically represented as

          z =  \frac{M -  \mu}{\frac{\sigma}{\sqrt{n} } }

=>       z =  \frac{50.2 - 45}{\frac{9}{\sqrt{16} } }

=>       z =  2.31

Generally the p-value is mathematically represented as

     p-value  =  2 *  P(Z >  z )

      p-value  =  2 *  P(Z >  2.31 )

From the z-table  

      P(Z >  2.31 ) = 0.010444

=>     p-value  =  2 *  0.010444

=>     p-value  =  0.021

From the obtained values we see that p-value <  0.05

 Decision Rule

 Reject the null hypothesis

Conclusion

There is sufficient evidence to conclude that the supplement has a significant effect on the cognitive skill of elderly adults

Generally the Cohen's d for this study is mathematically represented as

    d =  \frac{M  -  \mu}{\sigma }

=>  d =  \frac{50.2 -45}{9 }

=>  d =  0.5778

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If Rodger is working 20hs and gets $9 per hour you would do this:

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