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stira [4]
3 years ago
9

What is the simplified form of 162

Mathematics
1 answer:
SashulF [63]3 years ago
5 0

Answer:

9 √ 2

Step-by-step explanation:

1. Rewrite  162 as 9^{2}    ⋅2  

2.  factor 81 out of 162

          \sqrt{81 (2)}

3.  Rewrite 81 as 9^{2}

          \sqrt{9^{2}.2 }

4. Pull the terms from under the radical

          \sqrt[9]{2}

I hope this helps :)

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Match the key features of functions terms to their corresponding definitions.
kenny6666 [7]

The key features of the above given functions are correctly matched to their corresponding definition.

<h3>Definition of terms</h3>

  • Negative sections of the graph: They are the parts where the graph is below the x-axis. That is option C.

  • End behaviour: This is what happens to the graph on the far left or far right. That is option E.

  • Positive sections of the graph: This is the parts where the graph is above the x-axis. That is option D.

  • Intercepts: This is the points where the graph crosses an axis. That is option B

  • Relative extrema: This is the points of relative minimum or maximum in a graph. That is option A.

Learn more about graphs here:

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6 0
2 years ago
A researcher records the repair cost for 8 randomly selected washers. A sample mean of $60.46 and standard deviation of $18.36 a
Anuta_ua [19.1K]

Answer:

The critical value is T = 1.895.

The 90% confidence interval for the mean repair cost for the washers is between $48.159 and $72.761

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 8 - 1 = 6

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.895, which is the critical value.

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.895\frac{18.36}{\sqrt{8}} = 12.301

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 60.46 - 12.301 = $48.159

The upper end of the interval is the sample mean added to M. So it is 60.46 + 12.301 = $72.761

The 90% confidence interval for the mean repair cost for the washers is between $48.159 and $72.761

8 0
3 years ago
Please help me!
Temka [501]
7. Answer is D! 1 to the 3rd power, 1^3, or 1 cubed as you'll hear it, is 1 because when something is cubed that means it's times itself 3 times. (EX: 4^3 = 4x4x4) 2 cubed is 8. 3 cubed is 27. 4 cubed is 64 and 5 cubed is 125!

8. Answer is C! A is gaining speed and B is the capped speed, meaning it can't get any higher, and C is the loss of speed.
7 0
3 years ago
Amy and Ben share £21 between them in the ratio 5 : 2. How much does Amy get?
Alika [10]

Answer:

✑ \underline{ \underline{ \sf{First ,\: Let's \: learn \: about \: the \: ratio}}} :

Let us consider , there are 30 boys and 40 girls in a school. So, the ratio of number of boys to number of girls = \sf{ \frac{30}{40} =  \frac{3}{4}   = 3:4} and read as 3 is to 4. We can say , the ratio compares two of more quantities of same unit. Until two quantities have same units , it is meaningless to compare by ratio. So, to find the ratio of two quantities , it is necessary to express them in same unit or of same kind. Since , they are in division form. So ,ratio is unit less quantity. Thus , the ratio is a comparison of two quantities of the same kind in division which doesn't have any units. For example : \sf{ \frac{a}{b}} is a ratio and is read as ' a is to b ' in which ' a : is antecedent and ' b ' is called consequent.

✎ \underline{ \underline{ \sf{Now \: let's \: solve : }}}

☪ \underline{ \sf{Solution}} :

£ 21 is to be divided between Amy and Ben in the ratio 5 : 2. So, let Amy get £ 5x and Ben get £ 2x.

Then , According to the question , \text{5x +2x = 21}

Solve for x :

⇝ \sf{7x = 21}

⇝ \sf{ \frac{7x}{7}  =  \frac{21}{7} }

⇝ \sf{x = 3}

The value of x is 3. Now , substitute the value of x in 5x :

Amy received £ 5x = 5 × 3 = £ 15 .

☥ \boxed{ \boxed{ \tt{Our \: final \: answer \: is \bold{£ \: 15}}}}

Hope I helped ! ツ

Have a wonderful day / night ♡

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6 0
2 years ago
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