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Akimi4 [234]
1 year ago
6

A turtle was swimming 2 feet below the surface of a pond. While looking for food, he went down 7 more feet.

Mathematics
1 answer:
Mekhanik [1.2K]1 year ago
8 0

Answer: 9 feet below or -9 feet

Step-by-step explanation:

   Let us say 0 is the surface of a pond. The turtle started at -2 and then traveled -7 more. We will add these negative values to each other.

-2 + -7 = -2 - 7 = -9

          The turtle is now -9, or 9 feet below, the surface of the pond.

<em>Read more about </em><em>your question</em><em> here:</em>

<em>brainly.com/question/17534933</em>

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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>

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3 years ago
PLEASE HELP. I WILL MARK BRAINLIEAST!!
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There’s technically two answers, you could put Angles 3 and 6, or Angles 7 and 2
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3 years ago
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What is the autput the following machine when the intut is 4
ch4aika [34]

Input is 4.

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Solve:

(Input) 4 - 7 = <u>-3</u>

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Suppose that you plan on taking a summer job selling magazine subscriptions. The magazine company will pay you 75 cents for sell
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Answer:

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The maximum capacity of the school auditorium is 420 people. Write an inequality for the situation. Tell what type of numbers th
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