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IgorLugansk [536]
3 years ago
9

Add. (a2+6)+(4a+6) What is the answer?

Mathematics
1 answer:
matrenka [14]3 years ago
8 0

Look at the explanation to understand the answer.

Step-by-step explanation:

<u><em>Step 1.</em></u>

Rewrite (a2) in a2 + 6 so the <em>a </em>is before 2

(a2 + 6) + (4a + 6) ⇒ (2a + 6) + (4a + 6)

<u><em>Step 2.</em></u>

We'll need to organize 2a + 6 + 4a + 6 into groups of like terms, so we can combine them easier.

They're two groups of like terms in the expression.

First group: 2a and 4a

Second group: 6 and 6

Now, rewrite it so the 6 is added by the other 6.

2a + 4a + 6 + 6

<u><em>Step 3.</em></u>

We'll need to combine like terms in 2a + 4a + 6 + 6 by adding all the numerical coefficients and copying the literal parts, if any. No numerical coefficient implies value of 1. Numerical 'like' terms will be added.

We already know the groups with like terms.

First group: 2a and 4a

Second group: 6 and 6

Let's solve.

2a + 4a = 6a

6 + 6 = 12

Combine 6a and 12 up and you'll get your answer.

6a + 12 is the answer.

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In the context of relationship between variables, increases in the values of one variable are accompanied by increases in the va
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A. Positive linear.

Step-by-step explanation:

We have that both variables increases, then we have a positive relation. A curvilinear option can not be possible because with this option in some regions could happen that when one variable increases the other one decreases. The negative linear relation can no be because with this option when one variable increases the other decreases. A non linear option is the same as a curvilinear option then can not be possible. Then the best option is a positive linear relationship.

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3 years ago
Lamar plans to watch 2 movies each month.write an equation represent the total number of movies n that he will watch I m moths
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Answer:

n=2m

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3 years ago
Read 2 more answers
An elevator containing five people can stop at any of seven floors. What is the probability that no two people exit at the same
elena-s [515]

Answer:

Approximately 0.15 (360 / 2401.) (Assume that the choices of the 5 passengers are independent. Also assume that the probability that a passenger chooses a particular floor is the same for all 7 floors.)

Step-by-step explanation:

If there is no requirement that no two passengers exit at the same floor, each of these 5 passenger could choose from any one of the 7 floors. There would be a total of 7 \times 7 \times 7 \times 7 \times 7 = 7^{5} unique ways for these 5\! passengers to exit the elevator.

Assume that no two passengers are allowed to exit at the same floor.

The first passenger could choose from any of the 7 floors.

However, the second passenger would not be able to choose the same floor as the first passenger. Thus, the second passenger would have to choose from only (7 - 1) = 6 floors.

Likewise, the third passenger would have to choose from only (7 - 2) = 5 floors.

Thus, under the requirement that no two passenger could exit at the same floor, there would be only (7 \times 6 \times 5 \times 4 \times 3) unique ways for these two passengers to exit the elevator.

By the assumption that the choices of the passengers are independent and uniform across the 7 floors. Each of these 7^{5} combinations would be equally likely.

Thus, the probability that the chosen combination satisfies the requirements (no two passengers exit at the same floor) would be:

\begin{aligned}\frac{(7 \times 6 \times 5 \times 4 \times 3)}{7^{5}} \approx 0.15\end{aligned}.

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2 years ago
A Hexagonal pyramid is located on top of a hexagonal prism. How many vertices are there?
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For a better understanding of the answer given here, please go through the diagram in the attached file.

The diagram assumes that the base of the hexagonal pyramid is an exact fit (has same dimensions as the face of the hexagonal prism).

As can be seen from the diagram, the common vertices are A,B,C,D,E,F which are 6 in number.

The bottom vertices are G,H,I,J,K,L, which, again are 6 in number.

The Apex of the pyramid, P is one more vertex.

Thus, the total number of vertices in a Hexagonal pyramid is located on top of a hexagonal prism will be the sum of all these vertices and thus will be:

6+6+1=13

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4 years ago
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