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GREYUIT [131]
3 years ago
14

Can i get the answer please

Mathematics
1 answer:
Sladkaya [172]3 years ago
8 0
No, because 40 x 10 is not 4000, but is is 400. It is 100x greater not 10x
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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
Kandice notices that 2/7 of a gallon of milk is on the top shelf of the refrigerator, and 3/5 of gallon of milk is on the bottom
Brilliant_brown [7]
The answer is 24/35. i would tell you to simplify but it is already in its simpliest form.
8 0
3 years ago
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What is the 6th term of the geometric sequence 4, −20, 100, ...?
shtirl [24]
Let's calculate r of this G.P: (-20)/(4) = - 5(100)/(-20) = - 5So r = -5
The formula to find the nth term of a GP is;
a(n) = a(r)ⁿ⁻¹
<u />a₆ = a(r)⁶⁻¹
a₆ = 4(-5)⁵ = -12500<u />
3 0
3 years ago
Read 2 more answers
On Monday, 218 students went on a trip to the zoo. All 5 buses were filled and 8 students
galina1969 [7]

Answer:

Their were 42 kids on each bus.

Step-by-step explanation:

You have to divide the number of kids(210) by the number of buses.

7 0
2 years ago
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Use graph to answer the question
Vesna [10]

Answer: 36.86^{\circ}

Step-by-step explanation:

Given

Coordinates  of Point A is (-3,-4) i.e. Point A is 3 units to the left and 4 units below x-axis

From figure, we can write

\Rightarrow \tan \theta =\dfrac{3}{4}\\\\\Rightarrow \theta=\tan^{-1}\left(\dfrac{3}{4}\right)\\\\\Rightarrow \theta=36.86^{\circ}

6 0
2 years ago
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