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ELEN [110]
3 years ago
8

Which expressions are equivalent to z + (z + 6) z+(z+6)z, plus, left parenthesis, z, plus, 6, right parenthesis ?

Mathematics
2 answers:
Scorpion4ik [409]3 years ago
8 0

In the question, the given expression is

z+(z+6)

And we have to find the equivalent expression to the given expression .

First we remove the parenthesis

z+z+6

Now we combine the like terms, and here like terms are z and z, therefore on combining , we will get

z+z+6 = 2z+6

And that's the required equivalent expression .

nexus9112 [7]3 years ago
6 0

The answer is:

2(z+3)

The rest are false.

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Find the constant of variation (k) where y varies directly with x. y = 2, when<br> X = 6.
ExtremeBDS [4]

Answer:

The graph below models the value of a $20,000 car t years after it was purchased.

                    Value of Car

A graph titled Value of Car has years on the x-axis and Dollars on the y-axis. A line curves down and goes through points (0, 20,000), (4, 10,000), and (14, 2,000).

Which statement best describes why the value of the car is a function of the number of years since it was purchased?

Each car value, y, is associated with exactly one time, t.

Each time, t, is associated with exactly one car value, y.

The rate at which the car decreases in value is not constant.

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Step-by-step explanation:

7 0
3 years ago
A laptop producing company also produces laptop batteries, and claims that the batteries
gregori [183]

Answer:

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours. (P-value = 0).

The null and alternative hypothesis are:

H_0: \mu=4\\\\H_a:\mu< 4

Step-by-step explanation:

<em>The question is incomplete: To test this claim a sample or population standard deviation is needed.</em>

<em>We will estimate that the sample standard deviation is 2 hours, and use a t-test to test that claim.</em>

<em> NOTE (after solving): The difference between the sample mean and the mean of the null hypothesis is big enough to reject the null hypothesis, even when we have a sample standard deviation of 3.5 hours, which can be considered bigger than the maximum standard deviation for the sample.</em>

This is a hypothesis test for the population mean.

The claim is that the batteries power the laptops for significantly less than 4 hours.

Then, the null and alternative hypothesis are:

H_0: \mu=4\\\\H_a:\mu< 4

The significance level is 0.05.

The sample has a size n=500.

The sample mean is M=3.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=2.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{2}{\sqrt{500}}=0.0894

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{3.5-4}{0.0894}=\dfrac{-0.5}{0.0894}=-5.5902

The degrees of freedom for this sample size are:

df=n-1=500-1=499

This test is a left-tailed test, with 499 degrees of freedom and t=-5.5902, so the P-value for this test is calculated as (using a t-table):

P-value=P(t

As the P-value (0) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours.

5 0
3 years ago
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Gnoma [55]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
I need help ASAP. show work. So I can learn :)
damaskus [11]

it would be a because nothing else makes sense

3 0
2 years ago
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IRISSAK [1]

Answer:

B: A square is a quadrilateral

Step-by-step explanation:

6 0
2 years ago
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