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Tju [1.3M]
3 years ago
13

the volume of a rectangular prism is represented by the function x3+6x-16. the length of the box is x + 2 , while the height is

x + 8. find the expression repressing the width of the box
Mathematics
1 answer:
Zinaida [17]3 years ago
7 0
X^2+6x-16= volume
LWH=volume
(x+2)W(x+8)=x^2+6x-16
W=(x^2+6x-16)/[(x+8)(x+2)]=[(x+8)(x-2)]/{(x+8)(x+2)}=
W=(x-2)/(x+2)


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Iodine-125 has a half-life of about 60 days. How many milligrams of a 1000mg sample will remain after 240 days?
Bezzdna [24]

62.5 mg sample will remain after 240 days

Step-by-step explanation:

Given

Half-life = T =  60 days

The formula for calculating the quantity after n half lives is given by:

N = N_0(\frac{1}{2})^n

Here

N is the final amount

N_0 is the initial amount

n is the number of half lives passed

The number of half lives are calculated by dividing the time for which the remaining quantity has to be found by half life

The quantity has to be calculated for 240 days so,

n = \frac{240}{60}\\n = 4

Given

N_0 = 1000\ mg

Putting the values in the formula

N = 1000 (\frac{1}{2})^4\\=1000 * \frac{1}{16}\\=\frac{1000}{16}\\=62.5\ mg

Hence,

62.5 mg sample will remain after 240 days

Keywords: Half-life, sample

Learn more about half-life at:

  • brainly.com/question/11286417
  • brainly.com/question/12973601

#LearnwithBrainly

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4 years ago
Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have?
saul85 [17]

Answer:

<em>3n; 2 nickels and 6 quarters</em>

Step-by-step explanation:

"Peggy had three times as many quarters as nickels."

Whatever number of nickels she has, the number of quarters is 3 times as many.

Since she has n nickels, she has 3 times n quarters.

The number of quarters is 3n.

A nickel is worth $0.05, so n nickels are worth 0.05n.

A quarter is worth $0.25, so 3n quarters are worth 0.25(3n).

0.05n + 0.25(3n) = 1.60

0.05n + 0.75n = 1.6

0.8n = 1.6

n = 2

She has 2 nickels.

3n = 3(2) = 6

She has 6 quarters.

5 0
4 years ago
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Maslowich

Answer:

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ozzi

Answer:

Slope: -45

Y-intercept: -2

Step-by-step explanation:

The expression is written in slope-intercept form or y=mx+b.

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