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STatiana [176]
3 years ago
14

A ______ is an expression that can be written in the form of p/q where p and q are polynomials and q

Mathematics
1 answer:
fgiga [73]3 years ago
6 0
A rational number .... where q is not zero.
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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
Semenov [28]

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.

7 0
3 years ago
Which coordinate pair is a solution of the equation below?
Anni [7]
I think that the answer is b because if you substitute in (4,1) into x-5y=-1 you’ll get 4-5(1)=-1 which simplifies to -1=+1 which is a true statement. I hope that helped (-:
7 0
3 years ago
Simplify the expression 2√ 20 − 3√ 7 − 2√ 5 + 4√ 63 .
earnstyle [38]

Answer:

The simplified form is,

\boxed{\boxed{6\sqrt{5}+9\sqrt{7}}}

Step-by-step explanation:

The given expression is,

=2\sqrt{20}-3\sqrt{7}+2\sqrt{5}+4\sqrt{63}

=2\sqrt{4\times 5}-3\sqrt{7}+2\sqrt{5}+4\sqrt{9\times 7}

=2(\sqrt{4}\times \sqrt{5})-3\sqrt{7}+2\sqrt{5}+4(\sqrt{9}\times \sqrt{7})

=2(2\times \sqrt{5})-3\sqrt{7}+2\sqrt{5}+4(3\times \sqrt{7})

=4\sqrt{5}-3\sqrt{7}+2\sqrt{5}+12\sqrt{7}

=4\sqrt{5}+2\sqrt{5}+12\sqrt{7}-3\sqrt{7}

=6\sqrt{5}+9\sqrt{7}

8 0
3 years ago
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What is 8.8 percent as a fraction in simplest form
enot [183]
The answer is 8 8/10
7 0
3 years ago
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Whats 5/9 / is dived
mamaluj [8]

Answer:

0.55555555

Step-by-step explanation:

7 0
3 years ago
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