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3 years ago

What is the simplified form of the following expression? 2 StartRoot 18 EndRoot + 3 StartRoot 2 EndRoot + StartRoot 162 EndRoot

Mathematics

1 answer:

inna [77]3 years ago

4 0

Answer: 2*√18 + 3*√2 + √162 = 18*√2

Step-by-step explanation:

I guess that the equation is:

2*√18 + 3*√2 + √162

And we want to simplify it.

first 18 = 9*2

then we can write:

2*√18 = 2*√(9*2) = 2*3*√2 = 6*√2

and 162/9 = 18

then we can write:

√162 = √(9*18) = √9*√18 = 3√18

now we can use the previous step: √18 = 3*√2

and:

√162 = 3*(3*√2) = 9*√2

now we can write our equation as:

6√2 + 3√2 + 9√2 = (6 + 3 + 9)√2 = 18*√2

And now we can not simplify it further more, so here we end.

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Half if a dozen eggs is 6 eggs.How is 1/2 expressed as a decimal?

liraira [26]

.5 because 100/2 is 50 and there’s 1.00 and when you divide that it’s .5

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3 years ago

An object falls 3 meters during the first second, another 15 meters during the second second, and then 75 meters more during the

Lana71 [14]

3 times 5 equals 15
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hope this helped (:

8 0

3 years ago

Clare estimates that her brother is 4 feet tall. When they get measured at the doctor's office,

avanturin [10]

Answer:

2 inches

Step-by-step explanation:

Since his actual height was 4 feet and 2 inches, instead of the estimate of 4 feet, the difference was 2 inches.

This means the error in inches was also 2 inches, since the estimated height was 2 inches lower than the one at the doctor's office.

So, the error is 2 inches

5 0

3 years ago

In the diagram below of triangle EFG, H is a midpoint of EF and J is a midpoint

Korolek [52]

Answer:

Step-by-step explanation: 2(4x+6)=

\,\,34-3x

34−3x

Since HJ is a midsegment, twice HJ is equal to EG.

8x+12=

\,\,34-3x

34−3x

Distribute.

8x+12=

\,\,-3x+34

−3x+34

Communicative property to change the order

\color{red}{+3x}\phantom{+12}\phantom{=}

+3x+12=

\,\,\color{red}{+3x}\phantom{+34}

+3x+34

+3x to both sides.

11x+12=

\,\,34

\phantom{11x}\color{red}{-12}\phantom{=}

11x−12=

\,\,\color{red}{-12}

−12

-12 to both sides.

11x=

\,\,22

\frac{11x}{11}=

11x

\,\,\frac{22}{11}

Divide both sides by 11

\,\,2

Value of x

HJ=

\,\,4x+6

4x+6

Value of HJ

HJ=

\,\,4(2)+6

4(2)+6

Plug in x.

HJ=

\,\,8+6

8+6

Multiply.

HJ=

\,\,14

8 0

3 years ago

Determine whether the given value is a statistic or a parameter. A homeowner measured the voltage supplied to his home on one da

Natasha_Volkova [10]

Answer:

C. The given value is a statistic statistic for the year year because the data collected represent a sample sample.

Correct. The value reported is an statistic since represent a SAMPLE of the population of interest.

Step-by-step explanation:

The sample mean obtained was :

$\bar X =\frac{\sum_{i=1}^n X_i}{n}= 144.3$

A. The given value is a parameter parameter for the year year because the data collected represent a population population.

False. The data colected represent a sample of the population of interest, so for this case is not a parameter because we don't have the information about all the population of interest.

B. The given value is a parameter parameter for the year year because the data collected represent a sample sample.

False. First the sample average is not a parameter, and second the population mean is not equal to the sample mean most of the times.

C. The given value is a statistic statistic for the year year because the data collected represent a sample sample.

Correct. The value reported is an statistic since represent a SAMPLE of the population of interest.

D. The given value is a statistic statistic for the year year because the data collected represent a population.

False. If is an statistic can't represent the population, since the parameter represent the population not the statistic.

4 0

3 years ago