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vlada-n [284]
1 year ago
7

Simplify (sqrt)98m^12 using factor tree or splitting up using perfect squares. Quick answer showing work = amazing review :)

Mathematics
1 answer:
strojnjashka [21]1 year ago
6 0

The expression is:

\sqrt[]{98m^{12}}

We need to use a factor tree to solve the problem. We will draw it as shown below:

According to the factor tree we can represent the 98 as:

\sqrt[]{2\cdot7^2m^{12}}

We can now remove the terms that have a power of 2 and a power of 12. For that we need to divide the exponents by 2.

7^{}\sqrt[]{2}m^6

The simplified expression is 7*sqrt(2)*m^6.

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A sound wave travels through iron at a rate of 5120\,\dfrac{\text{m}}{\text{s}}5120 s m ​ 5120, start fraction, start text, m, e
klio [65]

Answer:

18432 km/h

Step-by-step explanation:

It is given that a sound wave travels through iron at a rate of 5120 m/s.

We know that

1 km = 1000 m

1 hour = 60 minutes

1 minutes = 60 second

Using these conversions we get

1 m = 0.001 km

1 hour  = 3600 second

5120\text{ m/s }=5120\times 0.001\times 3600\text{ km/h}

5120\text{ m/s }=18432\text{ km/h}

Therefore, the sound wave travels through iron at a rate of 18432 km/h.

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3 years ago
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Step-by-step explanation:

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3 years ago
Could someone please help me with this question??
weqwewe [10]

Answer: 26 cups will fit in a dispenser that is 30 cm high.

Step-by-step explanation:

First of all, we know that the first cup in the stack (the bottom cup) will be ten centimeters high, and we know that for every cup that is added on top of that, .8 centimeter will be added to the height. So, if we want to find how many cups will be in the dispenser we do this simple math:

30 - 10 = 20   Because the first cup is ten centimeters, we have to subtract that from the dispenser height.

20/.8=25   To find how many cups will be stacked on top of the first cup, we divide the remaining height by .8, the height of every other cup.

Now that we know that there will be 25 cups stacked on top of the first, we add the bottom cup to the rest of them.

25 + 1 = 26 Cups.

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Determine whether the underlined value is a parameter or a statistic. One of the greatest baseball hitters of all time has a car
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Answer:

B. The value is a parameter because the career at-bats of a baseball player are a population.

Step-by-step explanation:

The hitter had a career batting average of 0.366.

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If on the other hand, we take the batting average of 5 games, the 5 games will be a sample and the batting average will be a statistic.

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