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pashok25 [27]
2 years ago
11

There were 75 people at a concert. Twenty five percent of them were younger than 13. How many people were thirteen or younger.

Mathematics
1 answer:
sasho [114]2 years ago
8 0

Answer:

18

Step-by-step explanation:

0.25*75 = 18\\ (must round down for population)

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The family of functions y = ce^{-2x} + e^{-x} is solution of the equation y' + 2y = e^{-x}. Find the constant c which defines th
Rufina [12.5K]

Answer:

c = 1190.2

Step-by-step explanation:

We have the following solution:

y(x) = ce^{-2x} + e^{-x}

We want to find the value of x that satisfies the following condition:

y(3) = 3.

This means that when x = 3, y = 3. So

y(x) = ce^{-2x} + e^{-x}

y(3) = ce^{-2*3} + e^{-3}

3 = ce^{-6} + e^{-3}

3 = ce^{-6} + 0.0498

ce^{-6} = 2.9502

c = \frac{2.9502}{e^{-6}}

c = 1190.2

4 0
3 years ago
three sets of the sum of a number and four are added to the sum of seven times the same number and thirteen
almond37 [142]

The algebraic expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)

<em><u>Solution:</u></em>

Given the statement:

Three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen

Let us first understand the given statement,

Let the number be "x"

" sum of a number and four" means x + 4

"Three sets of a sum of a number and four" translated to 3(x + 4)

"sum of seven times the same number and thirteen" means 7x + 13

<em><u>Thus the algebraic expression for given statement is:</u></em>

3(x+4)+(7x + 13)

<em><u>Using distributive property in above expression</u></em>

a(b+c) = ab + bc

Therefore,

3(x+4)+(7x + 13) = 3x + 12 + 7x + 13

<em><u>Combine the like terms</u></em>

3(x+4)+(7x + 13) = 10x+25

Thus the required expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)

7 0
3 years ago
What’s the length of three pipes, when combined they equal 72m, how do I find the answer
allochka39001 [22]

Answer:

Each pipe is 24m

Step-by-step explanation:

<u>Given:</u>

  • three pipes
  • combined equal 72m
  • let the variable x represent the length of 1 pipe

<u>Algebraic Expression</u>:

3 pipes times length equals 72m (the total length)

3x = 72, we want x to be alone so divided both sides by 3

3x / 3 = 72 / 3

x = 24

Learn more about Algebraic Expression here: brainly.com/question/4344214

7 0
2 years ago
Find the perimeter of this quarter circle with radius,
Inga [223]

Answer:

pi

Step-by-step explanation:

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C = 2 * pi*r

C = 2 * pi *2

C = 4pi

A quarter circle is 1/4 of a circle

1/4 C = 1/4 (4pi)

1/4C = pi

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3 years ago
Given that the domain is all real numbers, what is the limit of the range for the function ƒ(x) = 4^2x - 100?
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[ -100, ∞ ). as X decreases f of x approaches -100 asymptotically as X increases f of x increases without bound
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