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Naily [24]
3 years ago
10

The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period, where x is the time, in h

ours, and y is the number of bacteria.Write an exponential regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, determine the number of bacteria present after 16 hours, to the nearest whole number.

Mathematics
1 answer:
Vlad [161]3 years ago
4 0

Answer:

Step-by-step explanation:

I really hope you know how to use your calculator to find regression equations, because in this forum it is impossible to teach you how to do that. I ran the data through my calculator and got the exponential equation as

y=1963.56(1.14)^x which means at 4 hours, we started with 1963 bacteria and it is growing at a rate of 114% each hour. Since we started out with an x value of 0, and that value represents the number of bacteria after 4 hours, then time 0 is 4 hours, which means that time 12 is 16 hours. We replace the x in the equation with a 12 and do the math:

y=1963.56(1.14)^{12 which gives us, in the end,

y = 9460

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Sveta_85 [38]

Answer: x = 4

Step-by-step explanation:

The cube root of 64 is 4

6 0
2 years ago
Read 2 more answers
Use the square root property to solve the equation.x² = 36Select one:O A. (18)O B. {16}O C. {±6i}O D. {6}
Feliz [49]

Given the equation

x^2=36x=\sqrt{36}x=\pm6

Then

The Correct answer is

Option D 6

3 0
1 year ago
On a snow day, Jada created two snowmen in her yard. Snowman A was built to a height of 51 inches and Snowman B was built to a h
MaRussiya [10]

From the graph of the linear functions, we have that both snowman's will have the same height of 21 inches after 5 hours.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, we have that:

  • The initial height is the intercept.
  • The melting rate, as a negative, is the slope.

Hence the functions are given as follows:

  • A(t) = 51 - 6t.
  • B(t) = 36 - 3t.

The functions are graphed at the end of the answer, with <u>A(t) in red and B(t) in blue,</u> and they intersect at (5,21), meaning that both snowman's will have the same height of 21 inches after 5 hours.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

7 0
1 year ago
Which of the following is rewriting 272/3
Katen [24]

Answer:

how to reduce (simplify) fraction 272/3 to lowest terms? Write it as an improper fraction, a mixed number, a decimal number, a percentage

Step-by-step explanation:

7 0
2 years ago
A.45<br> B.30<br> C.90<br> D.180<br> E.40<br> F.55<br> G.130<br> H.50
brilliants [131]

Answer:

m<4=40

Step-by-step explanation:

Supplementary angles form 180 degrees

m<3 is vertical to the 50 degree angle which is equal.

so. m<3=50

m<5=90

90+50=140

180-140=40

m<4=40

4 0
2 years ago
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