The accompanying table shows the number of bacteria present in a certain culture

over a 5 hour period, where x is the time, in hours, 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 o

bacteria present after 13 hours, to the nearest whole number.

Hours (x) Bacteria (y)

0 1892

1

2106

2

2

2342

3

2525

4

2819

4

5

5

3042

Answers

Answer 1

The general form of the exponential regression equation that models the number of bacteria  is y = ab^x

The exponential regression equation is y = 1910.38 * 1.1^x

How to determine the exponential regression equation?

The dataset is given as:

x     y

0    1892

1     2106

2    2342

3    2525

4    2819

5    3042

To determine the exponential regression equation, we make use of a graphing calculator.

From the graphing calculator, we have the following calculation summary

a = 1910.38

b = 1.10

An exponential regression equation is represented as:

y = ab^x

So, we have:

y = 1910.38 * 1.1^x

Hence, the exponential regression equation is y = 1910.38 * 1.1^x

Read more about regression equations at:

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Related Questions

What is the slope for the graph shown? Leave he answer as a fraction and simplify if necessary

Answers

Answer:

Slope 1/3

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

slope = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, - 1) and (x₂, y₂ ) = (9, 1) ← 2 points on the line

m = [tex]\frac{1-(-1)}{9-3}[/tex] = [tex]\frac{1+1}{6}[/tex] = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]

How many ice cream desserts consisting of four scoops, of either vanilla or hazelnut flavor, are possible

Answers

2 flavors and 4 scoops


total different possibilities = 2^4 = 16


answer: 16

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

See below.

Step-by-step explanation:

The answer would be 2 3/4.

The third tick represents 3/4, and this is between 2 and 3.

-hope it helps

Answer:

My guess is 2 3/4

Step-by-step explanation:

Sorry if i'm wrong, if im right can i have brainliest? So explanation is that the plotted point on the number line is c so that will make the numerator is id.k the difference between them the top of the number would be three because c is ploted on c and id.k how to get 4.

b= c= Please help asap

Answers

b= 20°
and c = 160°

b is equal to the given angle, b = 20°

c is 180 - 20 = 160°


What is the relationship between the difference in
the means and the MADs?

Answers

Answer:

Its the second one in the photo

Step-by-step explanation:

it's the second because when I clicked it I got it right.

5 pounds=. Ounces


I need helppp

Answers

Answer:  80 ounces

Work Shown:

1 pound = 16 ounces

5*(1 pound) = 5*(16 ounces)

5 pounds = 80 ounces

5 pounds = 80 ounces

Selma deposited a paycheck for $378.42. she’ll use the check register to record her transaction. what will be her new balance? a checking account has a balance of 2636 dollars and 41 cents. $2,257.99 $2,337.06 $3,014.83 $3,057.31

Answers

The new account balance by deposit of $378.42 will be $3014.83.

What is addition?

When anything is increased in the already existing quantity then it is termed the addition.

Now it is given in the question that

Selma deposited an amount of = $378.42

Account balance =$2636.41

Now the new balance will be = New amount + Previous balance

[tex]\rm New\ amount = 2636.41+378.42=3014.83[/tex]

Thus new account balance by deposit of $378.42 will be $3014.83.

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Answer:

Step-by-step explanation:

c

15 points possible!!!!!!!!!!!!!!!!!!!! :)

Answers

Answer:

The answer would be 195 Strikeouts

Step-by-step explanation:

You take the number of each x then times by the number on the bottom so in this case, you have 3 15s that would be 45. for the 16s you have 5 so you do this math and you end up with 80 and keep going until you did all of them then add them up and that's your answer.

Let's analyze the data

Three players got 15 strikeouts

Five players got 16 strikeouts

Two players got 17 strikeouts

Two players got 18 strikeouts

Now lets solve:

      Total number of strikeouts = 3 * 15 + 5 * 16 + 2*17 + 2*18

                                                     = 15 + 80 + 34 +36

                                                     = 95 + 70 = 165

Hope that helps!

y- 1) The value, y, of a car x years after it is purchased is modeled by the function exponential function y = f(x), whose graph is shown above Which statement about the car's value is true? A) Its initial value is B + A, and it will fall to a value of B B) its initial value is A, and it will fall to a value of B C) Its initial value is A and it will fall to a value of A-B ​

Answers

Given the exponential function y = f(x), a is the initial value and it will fall to a value of B

What is an exponential function?

An exponential function is given by:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

The value, y, of a car x years after it is purchased is modeled by the exponential function y = f(x), a is the initial value and it will fall to a value of B

Find out more on exponential function at: https://brainly.com/question/12940982

Which of the following lists 3/6, 112, 15/18 in order from least to greatest?

Answers

Answer:

3/6 ⇒ 9/12⇒ 15/18

Step-by-step explanation:

To put the following lists 3/6,9/12, 15/18 in order from least to greatest we can turn the fraction into decimal..

3/6 = 0.5

15/18 = 0.83333333333

9/12= 0.75

Hence from least to greatest:

0.5,0.75, 0.83333333333

Also know as:

3/6,9/12,15/18

~lenvy~

Answer:

Order 3/6, 9/12, and 15/18 from least to greatest.

Keep in mind, there are multiple ways into finding the answer to this question.

First, we must simplify these fractions as much as possible then find a possible common denominator.

3/6 simplifies to 1/2

9/12 simplifies to 3/4

15/18 simplifies to 5/6

Now we have fractions of 1/2(3/6), 3/4(9/12), and 5/6(15/18).

If we look at these fractions, we can see that they have a common denominator of 12. So let's convert these fractions into having a denominator of 12;

1/2 x 6/6 = 6/12

3/4 x 3/3 = 9/12

5/6 x 2/2 = 10/12.

So now we have the fractions 6/12(3/6), 9/12(9/12), and 10/12(5/6).

These are already ordered from least to greatest.

So therefore, this'll be ordered;

3/6, 9/12, and 15/18.

please show all work!! this is algebra.

Answers

Franco:
3x+2y=19
Caryl:
2x+4y=24

now use elimination

-2(3x+2y=19)
1(2x+4y=24)
=
-6x-4y=-38
2x+4y=24
add them together
which equals -4x=-14
divide both sides by -4
-4x/-4=-14/-4
x=7/2


we found x, so we subsitute it into the the original equation

3x+2y=19
3(7/2)2y=19
2y+21/2=19
-21/2 -21/2
2y=17/2
divide by 2 on both sides
2y/2= 17/2/2
y=17/4

so x= 7/2 and y= 17/4


What is an advantage of renting a place to live? lower up-front costs payments change from month to month low down payment increasing equity over tim

Answers

Answer:

LOWER UPFRONT COSTS

Step-by-step explanation:

you're welcome ;)

Please Help! If the triangle above is reflected over the y-axis, what is the correct coordinate for A'?

Answers

Answer:

A'(2,5)

Step-by-step explanation:

The position of point A is at (-2,5), and when you reflect it over the y-axis, you just have to switch the signs of the x-coordinate value.

Answer:

A'(2, 5)

Step-by-step explanation:

If the triangle is reflected over y-axis, the y-axis will be a symmetry line then the distance between A and y will remain the same but opposite sign which is 2 units ( -2 become 2 )

hello, please answer the question, please show work

Answers

Answer:

5

Step-by-step explanation:

[tex]\frac{(44+9^2)}{5^2}[/tex] = [tex]\frac{44+81}{25}[/tex] = [tex]\frac{125}{25}[/tex] = 5

Find m< A
Round to the nearest degree

Answers

Answer:

a bit more than 48°

Step-by-step explanation:

We use the law of cosines for this.

The theorem is an extension of pythagoras' theorem, working for all triangles. In our case

[tex]\overline{BC}^2=\overline{AB}^2+\overline{AC}^2-2\overline{AB}\cdot\overline{AC}cos \hat A[/tex]

Let's replace all the values we have and find whatever is left.

[tex]10^2=11^2+13^2-2(11)(13)cos \hat A\\-286cos\hat A = -190\\cos \hat A\approx 0.6643 \rightarrow \hat A \approx 48\°[/tex]

solve each of the following equations
1)x+8-15

Answers

Answer:

x - 7

Step-by-step explanation:

x + 8 - 15

Subtract 15 - 8 = 7

x  - 7

~Lenvy~

The area of a circular fountain is 121pi square feet. What is the diameter of the fountain?

Answers

Answer:

22 feet

Step-by-step explanation:

Area of circle = pi(r²)

the square root of 121 is 11, so r = 11

d = 2r

d = 22

A triangle has two sides of length 14 and 19. What is the largest possible whole-number length for the third side?

Answers

its 33 I checked it mark the one above me brainiest

Please Help! Will Give Brainlest!

Answers

Answer:

y = - 1

Step-by-step explanation:

the midline is positioned midway between the maximum and minimum values , that is

maximum value = 2 and minimum value = - 4 , then

y = [tex]\frac{2-4}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1

equation of midline is y = - 1

Neon bracelets cost $1 for 4.
What is the cost per bracelet?
At this rate, how much will 11 neon bracelets cost?

Answers

Answer to Q one: $0.25
Answer to Q two: $44

Answer:

its cost 25 cents

in so will cost 275 cent so 2.75

Step-by-step explanation:

write an expression that is equivalent to 21h - 10h + 16 - 9 + 14h + 5 .

Answers

Answer:

25h+12

Step-by-step explanation:

Add the numbers :

21h-10h + 16-9 + 14h+ 5

21h-10h + 12 + 14h

Combine like terms:

25h + 12


what is (x^-2 y^10)^2/x^5 y^-3 using only positive exponents

Answers

Answer:

[tex] \frac{(x^{ - 2}{y}^{10})^{2} }{ {x}^{5} {y}^{ - 3} } \\ \frac{ {x}^{ - 4} {y}^{20} }{ {x}^{5} {y}^{ - 3 } } \\ {x}^{ - 9} {y}^{23} \\ \frac{ {y}^{23} }{ {x}^{9} } \\ ans \: c[/tex]

A rectangular garden is 15.m long and 10m broad. find its perimeter and area.​

Answers

Answer:

The perimeter is 50.

The area is 150.

Step-by-step explanation:

To calculate perimeter, add the length and width, then multiply the sum by 2.

( 15+10=25. 25*2=50 )

To calculate area, multiply the length and width.

( 15*10=150 )

The perimeter of the triangular park shown on the right is 15x+2 . What is the missing​ length? The other two lengths are 5x-1 and 4x+4

Answers

Answer:

6x - 1

Step-by-step explanation:

Side 1: 5x - 1

Side 2: 4x + 4

Side 3: Unknown, y

Perimeter: 15x + 2

Perimeter = Side 1 + Side 2 + Side 3

15x + 2 = 5x - 1 + 4x + 4 + y

15x + 2 = 9x + 3 + y

6x - 1 = y

y = 6x - 1

Side 3 = 6x - 1

A globe has a diameter of 12 inches. It fits inside a cube-shaped box that has a side length of 12 inches.

​What is the volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe?

Answers

The volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe is 823.68 inches³

Volume of a sphere

The globe is a sphere. Therefore, the volume is as follows:

volume = 4 / 3 πr³

where

r = 12  /2 = 6 inches

volume = 4 / 3 × π × 6³

volume = 864 / 3 π

volume = 288 × 3.14  = 904.32inches³

Volume of a cube

The box is a cube. Therefore,

volume = L³

where

L = length

Therefore,

volume = 12³

volume = 1728 inches³

Therefore, the volume of the space inside the box that is not taken up by the globe is as follows:

volume not taken up = 1728 - 904.32 = 823.68 inches³

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YELLOW If this is the Math Test Results of all 300 seventh graders
at a school, how many of the kids earned an A?

Answers

Answer:

13%

Step-by-step explanation:

Is this a function pls someone tell me

Answers

No this is not a function since it does not pass the vertical line test.One x value cannot have 2 or more y values.

What is the value of In e^4
a 0
b 1
c 2
d 4

Answers

Answer:

[tex]4[/tex]

Step-by-step explanation:

[tex]\ln e^4= 4\ln e = 4 \log_e e = 4 \times 1 = 4[/tex]

Steve bought 24 ounces of his favorite cereal. He put equal amounts of the cereal in 4 containers. How many ounces did he put in each container?​

Answers

The answer is
24 devidid by 4 is 6

Find the missing value in the table
(Ignore all the writing I did already I think it’s wrong but I’m not sure)

Answers

Answer:

Step-by-step explanation:

#1 is correct

#2 is correct

#3 is correct

#4 is correct

#5  is correct

#6 is 29.6

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