Evaluate the summation of 2 n plus 5, from n equals 1 to 12..

Answers

Answer 1

Answer: Given:
2n + 5

n = 1 to n = 12

2(1) + 5 = 2 + 5 = 7
2(2) + 5 = 4 + 5 = 9
2(3) + 5 = 6 + 5 = 11
2(4) + 5 = 8 + 5 = 13
2(5) + 5 = 10 + 5 = 15
2(6) + 5 = 12 + 5 = 17
2(7) + 5 = 14 + 5 = 19
2(8) + 5 = 16 + 5 = 21
2(9) + 5 = 18 + 5 = 23
2(10) + 5 = 20 + 5 = 25
2(11) + 5 = 22 + 5 = 27
2(12) + 5 = 24 + 5 = 29

Sum: 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 = 216

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Answer:

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Step-by-step explanation:

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Passes through the points (4,2) and (6,8)

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Work out gradient so change in y/change in x=8-2/6-4=3
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Step 1- Remove parentheses using the Distributive Law, Step 2. Collect Like Terms.-3+5(p+2)

Answers

Answer:

Step 1: Remove parentheses using the Distributive Law:

-3 + 5(p+2) = -3 + 5p + 5(2)

Step 2: Collect like terms:

-3 + 5p + 10

The simplified expression is:

5p + 7

Step-by-step explanation:

To remove parentheses using the Distributive Law and then collect like terms, follow these steps:

Step 1: Distributive Law

Multiply each term inside the parentheses by the number outside the parentheses:

-3 + 5(p) + 5(2)

Step 2: Simplify

-3 + 5p + 10

Step 3: Collect Like Terms

Combine the constant terms (-3 and 10) and the like terms with 'p' (5p):

5p + 7

So, the simplified expression after removing parentheses and collecting like terms is 5p + 7.

one angle of a triangle is three times as large as another. the measure of the third angle is 40 degrees more than that of the smallest angle. find the measure of each angle

Answers

Hello,

Let x the second angle
the first is 3x
the third 40°

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==>4x=140
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