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miv72 [106K]
3 years ago
11

Which of the following options have the same value as 20% of 45?

Mathematics
2 answers:
leonid [27]3 years ago
4 0

Answer:

B, D, and E.

Step-by-step explanation:

20% is 20/100, or 0.2

so, if we put 20/100 instead of 20%, we get 20/100*45

the same goes for the rest of them. (remember, 1/5 is the same as 0.2)

kherson [118]3 years ago
3 0

Answer:

B. \: \frac{1}{5} \cdot 45

E.\: 0.2 \cdot 45

D. \: \frac{20}{100}\cdot 45

Step-by-step explanation:

% means /100

20\% = \frac{20}{100} \\\\20/100 =0.2\\= 0.2\cdot 45\\\\\frac{20}{100}=\frac{1}{5}  \\\\= \frac{1}{5} \cdot 45

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Calculate the total area of the shaded region.
LUCKY_DIMON [66]

so hmmm seemingly the graphs meet at -2 and +2 and 0, let's check

\stackrel{f(x)}{2x^3-x^2-5x}~~ = ~~\stackrel{g(x)}{-x^2+3x}\implies 2x^3-5x=3x\implies 2x^3-8x=0 \\\\\\ 2x(x^2-4)=0\implies x^2=4\implies x=\pm\sqrt{4}\implies x= \begin{cases} 0\\ \pm 2 \end{cases}

so f(x) = g(x) at those points, so let's take the integral of the top - bottom functions for both intervals, namely f(x) - g(x) from -2 to 0 and g(x) - f(x) from 0 to +2.

\stackrel{f(x)}{2x^3-x^2-5x}~~ - ~~[\stackrel{g(x)}{-x^2+3x}]\implies 2x^3-x^2-5x+x^2-3x \\\\\\ 2x^3-8x\implies 2(x^3-4x)\implies \displaystyle 2\int\limits_{-2}^{0} (x^3-4x)dx \implies 2\left[ \cfrac{x^4}{4}-2x^2 \right]_{-2}^{0}\implies \boxed{8} \\\\[-0.35em] ~\dotfill

\stackrel{g(x)}{-x^2+3x}~~ - ~~[\stackrel{f(x)}{2x^3-x^2-5x}]\implies -x^2+3x-2x^3+x^2+5x \\\\\\ -2x^3+8x\implies 2(-x^3+4x) \\\\\\ \displaystyle 2\int\limits_{0}^{2} (-x^3+4x)dx \implies 2\left[ -\cfrac{x^4}{4}+2x^2 \right]_{0}^{2}\implies \boxed{8} ~\hfill \boxed{\stackrel{\textit{total area}}{8~~ + ~~8~~ = ~~16}}

7 0
2 years ago
A mechanic makes $350 /week. If 20% of his income is deducted for taxes, how muchd id the mechanic bring home as pay?
klemol [59]

Answer:

$280

Step-by-step explanation:

Step one

Given data

A mechanic makes $350 /week

20% of his income is deducted for taxes

Required

the mechanic's take-home pay for the week

Step two:

let us find 20% of $350

=20/100*350

= 0.2*350

=$70

Therefore the take-home pay is

= 350-70

= $280

8 0
3 years ago
What is the sum of all the positive integers from <br> √<br> 24<br> to <br> √<br> 102<br> ?
Eva8 [605]

Answer:

The sum of all positive integers is

5 + 6 + 7 + 8 + 9 + 10

              = <em>45</em>

Step-by-step explanation:

Because \sqrt{24} = 4.89 and \sqrt{102} = 10.09

So positive numbers between 4.9 and 10.09 are

 <em>5+6+7+8+9+10 = 45</em>

<em />

<em>Brainliest will be appreciated.</em>

7 0
2 years ago
If the side lengths of a cube are 14 feet, what is the correct way to write the expression to represent the volume of the cube i
Kryger [21]

Answer: Choice A) 14^3

This is the same as writing 14^3

===================================================

Explanation:

Since all the sides are 14 feet long, we can basically say length = width = height = 14.

Or put another way:

  • length = 14
  • width = 14
  • height = 14

The volume of the cube is length*width*height = 14*14*14 = 14^3 = 2744 cubic feet.

-----------

The term 14^3 has a base of 14 and exponent of 3.

The base is what we multiply out while the exponent tells us how many copies of the base to multiply. In this problem, we have 3 copies of 14 being multiplied. So that's why 14^3 = 14*14*14

If you were to say something like 3^14, then you would have 14 copies of 3 multiplied out, which is a much larger value. So we'll cross choice B off the list.

Choice C isn't correct either since again we're using exponents and not multiplication to tie together the 14 and 3.

Choice D would be correct if your teacher wanted it in expanded form, instead of exponent form.

6 0
3 years ago
Can I have the answers to this? Thanks​
Lina20 [59]
A) 13
b) 16
c) 2
d) 13
e) 11
7 0
3 years ago
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