Need help with exponential functions for a test!!!!!

The growth of a certain organism can be modeled by C(t)=10(1.029)^24t, where C(t) is the total number of cells after t hours. Which function is approximately equivalent to C(t)?

1. C(t) =240(0.083)^24t
2. C(t)=10(.083)^t
3. C(t)=10(1.986)^t
4. C(t)= 240(1.986)^t/24

Answers

Answer 1

Given:

The function is:

[tex]C(t)=10(1.029)^{24t}[/tex]

Where, C(t) is the total number of cells after t hours.

To find:

The function that is approximately equivalent to C(t).

Solution:

We have,

[tex]C(t)=10(1.029)^{24t}[/tex]

It can be rewritten as:

[tex]C(t)=10(1.029^{24})^{t}[/tex]            [tex][\because (a^m)^n=a^{mn}][/tex]

[tex]C(t)\approx 10(1.986)^{t}[/tex]         [tex][\because 1.029^{24}\approx 1.986][/tex]

The function [tex]C(t)=10(1.986)^{t}[/tex] is approximately equivalent to C(t).

Therefore, the correct option is 3.

Answer 2

Answer:

c

Step-by-step explanation:


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Step-by-step explanation:

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Answers

Answer:

m∠A = 116°

Step-by-step explanation:

For better understanding of the solution, see the attached figure of the problem :

The quadrilateral ABCD is inscribed in a circle, Thus the quadrilateral ABCD is a cyclic quadrilateral.

Also, Sum of opposite angles of a cyclic quadrilateral is supplementary.

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Latasha and Hercules are collecting drones in a ratio of 5:10. If they collected 270 drones altogether, how many drones did Latasha
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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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hope my explanation is understandable lol

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Answers

Answer:

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Sylvia is fencing a rectangular rose garden. The hardware store sells fencing for
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Answers

Answer:

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

You can use the distributive property
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Answers

Answer:

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Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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✧・゚: *✧・゚:*  Answer:  *:・゚✧*:・゚✧

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I WOULD APPRICIATE BRAINLIEST!

~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡

~

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Hopes this helps if it don’t than sorry:

Answer: p + 5 - 7q

Answer:

So frist thing is frist, since we are using the BODMAS. We should start with the numbers in the brackets, simplify the small bracket frist.

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Answers

Answer:

Total gallon of fuel used = [tex]11.428[/tex] gallons

Step-by-step explanation:

Given -

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