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2 years ago

8

What is the mechanical energy

1 answer:

Sergeu [11.5K]2 years ago

6 0

Answer:

In physical sciences, mechanical energy is the sum of potential energy and kinetic energy. It is the macroscopic energy associated with a system. The principle of conservation of mechanical energy states that if an isolated system is subject only to conservative forces, then the mechanical energy is constant.

hope it helps ;)

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Which subtraction sentences show you how to find 15-7

Alborosie

First you need to divide 7 and 15, and the answer you get is 8, so 8+7=15. 8 will be your answer.

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3 years ago

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There are 9 plates. Each plate has 15 cups on it. Each cup has 10 chocolate balls. How many chocolate balls are in total?

liq [111]

9 plates x 15 cups = 135 total cups.

135 cups x 10 chocolate balls = 1,350 total.

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3 years ago

The quantity of an element is decaying over time such that the amount of material

masya89 [10]

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4 0

3 years ago

Match the following rational expressions to their rewritten forms.

Nookie1986 [14]

Answer:

Answer image is attached.

Step-by-step explanation:

Given rational expressions:

$1.\ \dfrac{x^2+x+4}{x-2}\\2.\ \dfrac{x^2-x+4}{x-2}\\3.\ \dfrac{x^2-4x+10}{x-2}\\4.\ \dfrac{x^2-5x+16}{x-2}$

And the rewritten forms:

$(x-2)+\dfrac{6}{x-2}\\(x+3)+\dfrac{10}{x-2}\\(x+1)+\dfrac{6}{x-2}\\(x-3)+\dfrac{10}{x-2}$

We have to match the rewritten terms with the given expressions.

Let us consider the rewritten terms and let us solve them one by one by taking LCM.

$(x-2)+\dfrac{6}{x-2}\\\Rightarrow \dfrac{(x-2)^{2}+6 }{x-2}\\\Rightarrow \dfrac{x^2-4x+4+6 }{x-2}\\\Rightarrow \dfrac{x^2-4x+10}{x-2}$

So, correct option is 3.

$(x+3)+\dfrac{10}{x-2}\\\Rightarrow \dfrac{(x+3)(x-2)+10}{x-2}\\\Rightarrow \dfrac{(x^2+3x-2x-6)+10}{x-2}\\\Rightarrow \dfrac{x^2+x+4}{x-2}$

So, correct option is 1.

$(x+1)+\dfrac{6}{x-2}\\\Rightarrow \dfrac{(x+1)(x-2)+6}{x-2}\\\Rightarrow \dfrac{x^{2} +x-2x-2+6}{x-2}\\\Rightarrow \dfrac{x^{2} -x+4}{x-2}$

So, correct option is 2.

$(x-3)+\dfrac{10}{x-2}\\\Rightarrow \dfrac{(x-3)(x-2)+10}{x-2}\\\Rightarrow \dfrac{x^2-3x-2x+6+10}{x-2}\\\Rightarrow \dfrac{x^2-5x+16}{x-2}$

So, correct option is 4.

The answer is also attached in the answer area.

7 0

3 years ago

What is an explicit formula for the geometric sequence 64,16,4,1,... where the first term

olya-2409 [2.1K]

Answer:

A

Step-by-step explanation:

The explicit formula for a geometric sequence is

f(n) = f(1) $(r)^{n-1}$

where f(1) is the first term and r the common ratio

Here f(1) = 64 and r = $\frac{f(2)}{f(1)}$ = $\frac{16}{64}$ = $\frac{1}{4}$ , then

f(n) = 64 $(\frac{1}{4}) ^{n-1}$ → A

7 0

3 years ago