400 : 1kg
400 : 1000
1 : 2.5
n = 2.5
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:

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:

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

Thus, the time it will take the population to grow to 800 insects is 17 days.
Yes, it is very important otherwise some teachers may count the problem wrong.
The simplified expression of (5.1)(5.1^2)^4 is (5.1)^9
<h3>How to simplify the expression?</h3>
The expression is given as:
(5.1)(5.12)4
Rewrite the expression properly as follows:
(5.1)(5.1^2)^4
Rewrite the expression properly as follows:
(5.1)(5.1^2)^4 = (5.1) * (5.1^2)^4
Apply the power law of indices
(5.1)(5.1^2)^4 = (5.1) * (5.1^8)
Apply the power law of indices
(5.1)(5.1^2)^4 = (5.1)^(1 + 8)
Evaluate the sum
(5.1)(5.1^2)^4 = (5.1)^9
Hence, the simplified expression of (5.1)(5.1^2)^4 is (5.1)^9
Read more about expressions at
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Answer:(25y and -0.2y) and (-6 and -2)
Step-by-step explanation:
Pair means two
Hence like terms are common terms having something in common.
They are- (25y and -0.2y) and (-6 and -2).15x is left so it can't be paired