1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AURORKA [14]
3 years ago
9

In a laboratory, under favorable conditions, a bacteria grows at an exponential rate. the number of cells C in the population is

modeled by the function C(t)=ab^t, where a and b are constants and t is measured in hours.
T                C(t)

---            -------
0                 8
-----           --------
1                 24

Which function can be used to find the number of cells of bacteria in the population at time t?


A. C(t)=8(1)^t

B. C(t)=24(1)^t

C. C(t)=8(3)^t

D. C(t)=24(3)^t
Mathematics
2 answers:
aksik [14]3 years ago
6 0

Answer:

Eponential model is given by C(t)=8(3)^t

C is the correct option.

Step-by-step explanation:

From the given table, we have

For t = 0, C = 8

For t = 1, C = 24

The given model is C(t)=ab^t

Plugging, t = 0, C = 8 in the equation, we get

8=ab^0\\8=a\cdot1\\a=8

Now, plugging t = 1, C = 24 and a = 8 in the given exponential model

24=8b^1\\24=8b\\b=3

Therefore, the exponential model is given by

C(t)=8(3)^t

Naily [24]3 years ago
4 0
Selection C is appropriate.

_____
A. The population is constant at 8.

B. The population is constant at 24.

C. Matches the problem description.

D. The initial population is 24 and after 1 hour is 72.
You might be interested in
Y=-x+2<br> Choose the correct graph
stiks02 [169]
Where is the graph? It says choose the correct graph...
5 0
3 years ago
Natalie counted the number of birds she saw each day for 20 days, and she recorded her data in the table. Which scatterplot corr
vlada-n [284]

Answer:

I would answer this question, however there is no picture in order for me to tell.

Step-by-step explanation:

:(

5 0
3 years ago
A convertible is traveling at 45 miles per hour, and its wheels have a diameter of 48 inches. How many complete revolutions do t
neonofarm [45]
To answer this question you will need to know how many inches the car travels Per minute.

1. To find this out you will first divide 45 miles by 60 to get the number of miles per minute.

The convertible travels 0.75 mi./min.

2. Next you will convert this number of miles to inches.

There are 63,360 inches per mile.

0.75 x 63360 = 47520 inches per minute.

3. You then need to find the distance the wheel travels in one rotation. You will need to find the circumference of the wheel.

C = pi x d
3.14 x 48
C = 150.72 inches
Each rotation is about 150.72 inches.

4. Finally, divide the total distance traveled in a minute by the circumference(distance of one rotation) to get the total number of rotations in a minute.

47520/150.72 is about 315.3 rotations per minute.



7 0
3 years ago
Read 2 more answers
What is 100x82727=x?
Nadusha1986 [10]

Answer:

8272700

Step-by-step explanation:

Just add two zeros in the end

4 0
2 years ago
Read 2 more answers
A sales manager collected data on annual sales for new customer accounts and the number of years of experience for a sample of 1
Nadya [2.5K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Years of experience (X) :

1

3

3

5

7

8

10

10

12

12

Annual sales (Y) :

85

97

95

97

105

106

122

120

113

134

The estimated regression equation obtained is :

y = b0 + b1x

b0 = 82.82967

b1 = 3.46061

ŷ = 3.46061X + 82.82967

The change in annual sales for every year of experience is given by the slope value, b1 = 3.46061 = 3.5 (1 decimal place)

The Coefficient of determination R² = 0.8477 = 0.848 ( 3 decimal place).

The Coefficient of determination gives the proportion of explained variance.

About 84.8% percent variation in annual sales can be explained by years of experience of the sales person.

Using the regression equation :

ŷ = 3.46061X + 82.82967

Years of experience, x = 8

ŷ = 3.46061(8) + 82.82967 = 110.514

111 = (to the nearest whole number)

4 0
3 years ago
Other questions:
  • ᶜᵃⁿ ᵘ ᵖˡˢ ʰᵉˡᵖ ᵐᵉ ʷⁱᵗʰ ᵗʰᵉˢᵉ
    5·1 answer
  • Help with this question please
    5·1 answer
  • Evaluate.<br><br> –345 + 562 – (–209)
    5·1 answer
  • #3 please <br> What’s the answer &amp; how do u do it
    13·1 answer
  • 3x10^to the power of negative 1 as a normal number
    8·1 answer
  • What is Tomas's unit rate for the balloons used per minute,for Tomas makes balloon sculptures at a circus. In 180 minutes, he us
    13·1 answer
  • All factors of x cubed minus 6x squared plus 11x minus 6
    9·1 answer
  • Divide (2x^2+x-45) by (x+5)​
    7·2 answers
  • Ruben bought 2 large popcorn buckets and 4 small drinks for $20. Lucia bought 2
    14·1 answer
  • Answer the question, don't mind the highlighted one
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!