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Montano1993 [528]
3 years ago
9

[2/(n+2)] - (3/n+2) = 5 Solve by u-substitution

Mathematics
1 answer:
IgorLugansk [536]3 years ago
7 0
<span>let n+2=u so, the equation became= [2/u]-[3/u]=5 => [(2+3)/u]=5 => 5/u=5 => u=5/5=1 thus, u=1 we know u=n+2 so, n+2=1 => n=1-2=-1 so, n=-1</span>
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garik1379 [7]
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8 0
3 years ago
Susan collected 5 cents at the recycling plant for each of her 78 cans how much did she collect all together
masya89 [10]

Answer:

\$3.9

Step-by-step explanation:

we know that

Susan collected 5 cents at the recycling plant for each of her 78 cans

To find out the total collected , multiply 5 cents by the total number of cans

so

\$0.05(78)=\$3.9

6 0
2 years ago
The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the bones from a mastodon had los
Gnesinka [82]

The bones at the time they were​ discovered when the radioactive element​ carbon-14 has a​ half-life of total 5750 years are 10062.5-year-old.

<h3>What is half-lives?</h3>

Half lives is the time interval which is need to decay the atomic nuclei of a radioactive sample.

There is a scientist who determined that the bones from a mastodon had lost 70.3​% of their​ carbon-14.  Thus, the fraction remaining is,

f=1-(70.3/100)=1-0.703

f=1-(70.3/100)=0.297

Now the fraction remaining can be given as,

f=(1/2)ⁿ

Here, n is the half life elapsed. Put the value of fraction remaining.

0.297=(1/2)ⁿ

n=1.75

The radioactive element​ carbon-14 has a​ half-life of total 5750 years. Thus,

Years=1.75*5750

Years=10062.5

Thus, the bones at the time they were​ discovered when the radioactive element​ carbon-14 has a​ half-life of total 5750 years are 10062.5-year-old.

Learn more about the half lives here;

brainly.com/question/2320811

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6 0
2 years ago
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melomori [17]

Answer:

Nathan: 2x+30

Olivia: 4x+15

Step-by-step explanation:

x is the number of weeks

Nathans account is as follows

2x+30

(2 dollars a week plus the 30 dollars already there)

Olivia's account is as follows

4x+15

(4 dollars per week plus the 15 already in there)

4 0
2 years ago
A recipe calls for four 12.6-ounce cans of chicken broth. How many ounces of chicken broth does the recipe require?
Mrac [35]

Answer:

The answer is 50.4

Hope this helps :)

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6 0
2 years ago
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