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laiz [17]
3 years ago
14

hi please help asap (20 points) and can you please explain a tool that i can use to solve this problem so that i can study

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
7 0
Hello! Gcf stands for greatest common factor. And I hope this helped!

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Step-by-step explanation:

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The perimeter of a triangle is 37. One side of triangle is one foot longer than the second side. The third side is tgree feet lo
disa [49]

Answer:

First: 12 feet

Second: 11 feet

Third: 14 feet

Step-by-step explanation:

Let the second side of the traingle be x

First side of the triangle= x+1

Third side of the triangle= x+3

x+x+1+x+3 = 37

3x+4 = 37

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First side of the triangle= (11)+1

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In an insect colony there are 270 insects after 9 days. If there were initially 80 insects how long will it take the population
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Answer:

The time it will take the population to grow to 800 insects is 17 days.

Step-by-step explanation:

The growth function of the insects is exponential.

The exponential growth function is:

y=a(1+r)^{t}

Here,

<em>y</em> = final value

<em>a</em> = initial value

<em>r</em> = growth rate

<em>t</em> = time taken

It is provided that there were 270 insects after 9 days and initially there were 80 insects.

Compute the value of <em>r</em> as follows:

y=a(1+r)^{t}\\\\270=80(1+r)^{9}\\\\3.375=(1+r)^{9}\\\\\ln(3.375)=9\cdot \ln(1+r)\\\\0.135155=\ln(1+r)\\\\1+r=1.14471\\\\r=0.145

Now, compute the time it will take the population to grow to 800 insects as follows:

800=80(1+0.145)^{t}\\\\10=(1.145)^{t}\\\\\ln(10)=t\cdot \ln(1.145)\\\\t=17.00522\\\\t\approx 17

Thus, the time it will take the population to grow to 800 insects is 17 days.

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