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:


Related Questions

Any helpers? Will give brainliest!!

Answers

Answer:

POSITIVE

Step-by-step explanation:

GOT THAT TEST WHEN I WAS 14

PART A: Write a system of linear equations to model this situation where x represents the pizza and y represents the bags of wings. Use the system to answer the following questions.

Answers

Answer:

x -3

Step-by-step explanation:

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Answers

Answer:

5+2(6)

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Step-by-step explanation:

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Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle A?
Enter your answer in the box

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.

Now, m∠A = (x - 36)°, m∠B = 28° and m∠D = x°

But, since the sum of opposite angles is 180°

⇒ 28° + x° = 180°

⇒ x = 180 - 28

⇒ x = 152

So, m∠A = (x - 36)°

⇒ m∠A = (152 - 36)°

⇒ m∠A = 116°

I need help with this question.?

Answers

Answer:

D

Step-by-step explanation:

just did it

***I WILL GIVE BRAINIEST TO THE CORRECT ANSWER**
Latasha and Hercules are collecting drones in a ratio of 5:10. If they collected 270 drones altogether, how many drones did Latasha
collect?

Answers

Answer:134 if they both collected half of the drone's

Step-by-step explanation:

270%2=134

Mr. Liáng made a circular tablecloth to cover the top of a table. If the diameter of the tablecloth measures 50 inches, which measurement is closest to the area of the tablecloth? F 625 in.2 H 3,140 in.? G 1,900 in.? J 7,500 in.2 OF​

Answers

Answer:

F. 625

Step-by-step explanation:

625 times 2

= 1256

round it to

= 1250

Hope this Helps

Have a nice day

Chelsea jogged 1.3 miles every weekday and 0.7 miles on Saturday. How many miles did Chelsea jog in 2 weeks

Answers

Answer:

14.4 miles

Step-by-step explanation: u do 1.38x5 to get 6.5 then u add 0.7 to 6.5 to get 7.2 then you times 7.2 by 2 to get 14.4

what is the quotient of y and 11

Answers

Answer:

y ÷ 6 = 11

pls give me brainliest

Ms.Poppy has finished grading her student's tests. The scores were the following: 51, 55, 55, 62, 65, 72, 76, 78, 79, 82, 83, 85, 91, and 93
find the meadian
find the mean

Answers

Answer:

Meadian: 77

Mean: 73

Step-by-step explanation:

find constants p and q such that x^4-2x^3-x^2+2x+10=(x^2+px+5)(x^2+qx+2)

Answers

Answer:

p = -4 q = 2

Step-by-step explanation:

Expand the brackets ( yes the entire thing).group together the values with same co-effiecients; like (q+p)x^3 etc etc.equate the co-effiecients on the left hand side to the now grouped ones on the right, for example [x^3]: -2x^3= (q+p)x^3, the x^3 cancels and ull get an equation only in terms of p and q. do the same for [x] and ull get an equation with only q, solve this and get the value for q [q = 2].sub in this value for the [x^3] equation and ull get an answer for p [p= -4].

hope my explanation is understandable lol

Your challenge . . . Part 1: Your math class is celebrating McNugget Monday and needs to order 531 Chicken McNuggets. If they are sold in packages of 4, 6, 9 and 20, determine TWO possible ways that 531 Chicken McNuggets can be ordered. Be sure to verify your answer.

Part 2: If McDonalds stop making the 6 pack, is there a largest number of Chicken McNuggets that cannot be purchased? If so, what is the number? If not, explain why not?

Answers

Answer:

You can get 25 packs of 20 and 3 packs of 9 and 1   4 piece.

OR

59 packs of 9 pieces

PART 2-

No because you can still get a 9 piece and 20 piece.

Step-by-step explanation:

Answer:

24 packs of 20=480

3 packs of 9=27

2 packs of 6=12

3 packs of 4=12

480+27+12+12=531

22 packs of 20=440

8 packs of 9=81

1 pack of 6=6

1 pack of 4=4

440+81+6+4=531

Step-by-step explanation:

Candice drives a total of 48 miles each day to work and get back home. She works five days a week. Her car gets 21 miles per gallon of gas. About how many gallons of gas does she need to drive to work and back home each week

Answers

Answer:

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

Step-by-step explanation:

Given -

The total distance travelled by car in one gallon of gas = 21 miles

Total distance travelled each day = 48 miles

Number of days days in a week in which Candice drive is 5 days

Total miles travelled per week = [tex]48*5[/tex] = 240 miles

Total gallon of fuel used = [tex]\frac{240}{21} = 11.428[/tex] gallons

how do i figure out this equation 3(x+4)=-3

Answers

You can use the distributive property
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x=-5

3(-5+4)=-3
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Directions: Write the following numbers in their expanded form to show
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Answers

Answer:

2000, 100, 30, 4

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Answers

5 rational numbers between 0.5 and 0.6 can be any 5 numbers up to any number of decimal places that lies between 0.5 and 0.6. Or, it can also be 0.5124, 0.5676, 0.588, 0.59, 0.5789.S

Classify the quadrilateral. A. square B. rhombus C. trapezoid D. rectangle also how do you add a picture​

Answers

Answer:

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Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

Are the expressions (−2)4 (−4)2 equal? Explain your answer.​

Answers

Answer:

no

Step-by-step explanation:

Yes because in multiplication it doesn’t matter by which order you start
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Answers

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the graph shows the function y=3x-1. What are the cordinates of intercepts

Answers

Answer:

[tex]y \: intercept : when \: x = 0 \\ y = (3 \times 0) - 1 = - 1 \\ = > (0, - 1) \\ x \: intercept : when \: y = 0 \\ 0 = 3x - 1 \\ x = \frac{1}{3} \\ = > ( \frac{1}{3} ,0) \\ intercepts : (0, - 1) \: and \: ( \frac{1}{3} ,0)[/tex]

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Answers

The answer is C. 3y = 15

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Answers

Answer:

172 1/2 lb

Step-by-step explanation:

Determine the rate of change per month = lifts lifted in march - lift lifted in February

142 1/2 - 135 = 7 1/2

Determine the number of months from march to July = 4

increase in weight he would be able to carry in 4 months = 7.5 x 4 = 30 lb

weight he would be able to carry in april = 30 + 142 1/2 = 172 1/2

Which exponential expression is equivalent to the one below? (6x3)^5

Answers

Answer:

Hi! The answer to your question is D. [tex]6^5 * 3^5[/tex]

Step-by-step explanation:

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Hope this helps!!

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- Brooklynn Deka

Simplify the following using BODMAS
3p + [5 − (2p + 7q)]

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.

3p + [ 5 - (2p + 7q)]

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Answers

Answer:

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Step-by-step explanation:

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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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no link! Just pls answer

Answers

✧・゚: *✧・゚:*  Answer:  *:・゚✧*:・゚✧

✅ A. 120cm ^3

I WOULD APPRICIATE BRAINLIEST!

~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡

~

Answer:

3769.91

PS: it is probably wrong!

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Answers

Answer:

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through: (-5, 4), slope =-3/5

Answers

Answer:

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Step-by-step explanation:

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i wish i knew this problem

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Answers

Answer:

4/19

Step-by-step explanation:

because, in the sequence they are subtracting 3 in each one it goes so, first it was 16-3= 13, 13-3= 10, and so on. Hope I helped :3

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