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2 years ago

Can anybody help me on this?

Mathematics

1 answer:

Eduardwww [97]2 years ago

4 0

Answer: second option.

Step-by-step explanation:

You need to descompose the radicand 8 and the radicand 50 into their prime factors:

$8=2*2*2=2^2*2\\50=2*5*5=2*5^2$

Then you can rewrite the expression:

$\sqrt{8}+\sqrt{50}$

$=\sqrt{2^2*2}+\sqrt{2*5^2}$

Since:

$\sqrt{a^2}=a$

You can simplify the expression:

$=2\sqrt{2}+5\sqrt{2}$

As the indices and the radicands are the same, you can make the addition:

$=7\sqrt{2}$

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How many times does 15 go into 128

Semenov [28]

The answer is: 8.533333 repeating or the fraction 128/5

If you divide 128/5, you will get that answer.

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2 years ago

Read 2 more answers

Find the indicated sum of each sequence S8 of -2,-13,-24,-35

valentina_108 [34]

Answer:

The sum of the arithmetic sequence is $S_{8}=-324$ .

Step-by-step explanation:

A sequence is a set of numbers that are in order.

In an arithmetic sequence the difference between one term and the next is a constant. In other words, we just add the same value each time infinitely.

If the first term of an arithmetic sequence is $a_1$ and the common difference is d, then the nth term of the sequence is given by:

$a_{n}=a_{1}+(n-1)d$

For the sequence

$-2,-13,-24,-35,...$

The pattern is continued by adding -11 to the last number each time.

An arithmetic series is the sum of an arithmetic sequence. We find the sum by adding the first, $a_1$ and last term, $a_n$ , divide by 2 in order to get the mean of the two values and then multiply by the number of values, <em>n</em>

The sum of the arithmetic sequence is

$a_{8}=-2+(8-1)(-11)=-2-77=-79$

$S_{8}=\frac{8}{2}(-2-79})=4\left(-2-79\right)=4\left(-81\right)=-324$

3 0

3 years ago

Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is disp

Elden [556K]

"Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed..." Ryan had a head start of 10 meters.

This is further explained below.

<h3>Who had a head start, and how big was the head start?</h3>

Generally, To help low-income children and their families, the United States government funds a program called Head Start, which offers a variety of services including early childhood education, health care, nutrition education, and parent engagement.

In conclusion, who had a head start, and how big the head start was is; Ryan had a head start of 10 meters.