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1 year ago

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.

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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)

The expression can not be further simplified.

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.

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3 years ago

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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.

Process machine:

Input > - 7 > ÷ 3 > Output

Solve:

(Input) 4 - 7 = -3

-3 ÷ 3 = -1 (Output)

Input = 4

Output = -1

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3 years ago

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

nikdorinn [45]

Answer:

5075 cents or 50.75

so sorry if it was wrong!

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2 years ago

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

posledela

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3 years ago