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Dmitriy789 [7]
4 years ago
10

List the key words in the equation twice the sum of a number and three is seven and than write the equation

Mathematics
2 answers:
egoroff_w [7]4 years ago
8 0
Twice, sum. and is are the important words.
erik [133]4 years ago
3 0
Key words key words key words
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Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.
gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

\frac{3^{n+4} - 3^n}{16}

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

\frac{3^{n+4} - 3^n}{16} becomes

\frac{3^n * 3^4 - 3^n}{16}

Factorize

\frac{3^n(3^4 - 1)}{16}

\frac{3^n(81 - 1)}{16}

\frac{3^n(80)}{16}

3ⁿ * 5

5(3ⁿ)

<em>The expression can not be further simplified.</em>

<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>

3 0
3 years ago
What is 624 divide by 27
mihalych1998 [28]

624/27

first you have to know what number that can be subtracted by 62

1. do 27 times 2 equal 54 then you subtract 62 by 54 equal 8 then you put 84 together that will 84 then multiply 27 times 3 = 81 then subtracted by 84

84-81 equal 3

In the calculator the answer is 23.1111111111

3 0
3 years ago
The city has a population of 3400,000 people. Suppose that each year the population grows by 8%. What will be the population aft
Mila [183]

Answer:

353,60000

Step-by-step explanation:

  1. 3400,000 x 8%=272,00000
  2. 272,000000 x 13 years
  3. 353,600000
4 0
3 years ago
The total age of diana, carmen , and andrew is 45. diana is 21,and andrew is twice as old as carmen. how old is andrew
MissTica
Diana's age=21 years
Carmen's age=x years
Andrew's age=2x years
21+x+2x=45
21+3x=45
3x=45-21
3x=24
x=24/3
x=8
2x8=16
Carmen is 8 years old and Andrew is 16 years old. Hoped that helps:)
8 0
3 years ago
6. Isosceles trapezoid SAND has diagonals SN = 5w + 13 and AD = 11w - 5. . Determine the value of w.​
leva [86]

Answer:

3

Step-by-step explanation:

4 0
3 years ago
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