To begin a bacteria study, a petri dish had 2800 bacteria cells. Each hour since, the number of cells has increased by 7.2%. Let t be the number of hours since the start of the study. Let y be the number of bacteria cells. Write an exponential function showing the relationship between y and t.​

Answers

Answer 1
The function that models exponential growth is:

P(t) = P0*(1 + r)^t, where

P0 = P(0) is the initial value of P

r is the growth rate as a decimal

In our case we have:

P(0) = 2800

r = 0.035 or 3.5%

P(t) = 2800*(1 + 0.035)^t

P(t) = 2800*(1.035)^t

The same exponential function written using y and t is:

y = 2800*1.035^t.

Explanation: https://softmath.com/algebra-word-problems/to-begin-a-bacteria-study-a-petri-dish-had-2800-bacteria

Related Questions

If the simple interest on $2,000 for 2 years is $280, then what is the interest rate?

Answers

Answer:

0,28percent

Step-by-step explanation:

If simple interest formula is = P X r X t

Then  interest rate = p X t/ I

Evalute 4+(7-5)⁴?
PLEASE HELP

Answers

Answer:

The answer is 20

Step-by-step explanation:

(7-5)=2

2^4 = 16

16 + 4 = 20

need help plz answer

Answers

Answer:

ok so basically, graph -4 and make a line going left.

Step-by-step explanation:

-10  -9 . -8 . -7 . -6 . -5 . -4

<---------------------------------o----->

Do it like that if you can

Find m<1..
L
M
70°
1
N
X Х
Z
O
m<1=

Answers

Answer:

the answer is number 9 m1

The Inconsistent Books store changes the normal prices of books on Mondays and Tuesdays. On Monday the price of a book is 10% above the normal price. On Tuesday the price is 10% below the normal price. Sarah bought a book on Monday for $16.50. Would would be the price of that book on a Tuesday?

Answers

13.365 would be the price of that book on tuesday.

What is the x- value of the midpoint between A (-8,-6) and B (0, 6)?

Answers

Answer:

Step-by-step explanation:

Take average of the x-coordinates of A and B.

(-8+0)/2 = -4

x-coordinate of midpoint = -4

The required x value of the midpoint between A(-8, -6) and B (0, 6) is -4.

Given that,
To determine the x value for the midpoint between A (-8,-6) and B (0, 6).

What is coordinate?

Coordinate, is represented as the values on the x-axis and y-axis of the graph. Where x coordinate of the graph is called an abscissa and y coordinate of the graph is called ordinate.

What is the midpoint?

The midpoint is that point of the line which has an equal distance from both ends of the line.

the x  value of the midpoint between A(-8, -6) and B (0, 6) is given by,
x = ( x1 + x 2) / 2
x = ( - 8 + 0 ) / 2
x = - 8 / 2
x = -  4

Thus, the required x value of the midpoint between A(-8, -6) and B (0, 6) is - 4.

Learn more about coordinate here:

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Can someone explain how to do this

Answers

Answer:

20%

Step-by-step explanation:

im not really good at percentages but from what i know you first make it a fraction by adding all the numbers together to get 55(denominator). then for the numerator you take the section that they want(11). 11/55 is equal to 20/100(divide 100 by 55 and multiply the quotient by 11 to get 20). 20/100 is 20%. hope this kinda helps.

Round 42,736,325 to the nearest million​

Answers

Answer:

i hope this helps  :)

Step-by-step explanation:

Grouped, 19546576 is 19,546,576. We underline through the millions place and mark the next digit. 19,546,576

Because the marked digit is 5, we increase 19 by 1 and replace all digits to the right with zeros: 20,000,000.

Thus 19,546,576 rounded to the nearest million is 20,000,000.

Answer:

43 million

43000000

Step-by-step explanation:

7 rounds up

In the figure, O is the centre of a circle passing through points
A, B, C and D and ADC = 120
Find the value of x.​

Answers

Answer:

30 degrees

Step-by-step explanation:

The computation of the value of x is given below:

Given that

ADC = 120 degrees

So ABC = 60 degrees

As the sum of the opposite angles are 180 degrees

And ACB = 90 degrees

Now in Triangle ADC

Angle ACB + Angle ABC + x = 180 degrees

90 + 60 + x = 180

x = 30 degrees

3x x 2 + 5x - 1 fdhyshber

Answers

Answer:

11x - 1

Step-by-step explanation:

Just simplify the terms!

3x * 2 + 5x - 1

6x + 5x - 1 (We multiply 3x * 2 to get 6x)

11x - 1 (Then after that, all you have to do is add 6x and 5x together. We can't simplify further since we don't know what x is)

Answer:

How to solve your question

3xx^{2}+5x-1

3xx2+5x−1

Simplify

1

Combine exponents

3 2 + 5 − 1 3 3 + 5 − 1

Solution

3 3 + 5 − 1

Step-by-step explanation:


A flower bed has the shape of a rectangle 8 yards long and 3 yards wide. What is its area in square feet?

Answers

Answer:

the answer is 216 square feet because if you multiply 8 ×3=24 and 24×9=216.

In March of 2018, a survey asked 801 US adults whether they had at least one subscription to a video-streaming service. Of the 801 participants in the survey, 457 indicated they subscribed to at least one video-streaming service. What is the correct 95 percent confidence interval for the proportion of all US adults who would say they subscribe to a video-streaming service?

Answers

Answer:

The 95% confidence interval for the proportion of all US adults who would say they subscribe to a video-streaming service is (0.5362, 0.6048).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Of the 801 participants in the survey, 457 indicated they subscribed to at least one video-streaming service.

This means that [tex]n = 801, \pi = \frac{457}{801} = 0.5705[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5705 - 1.96\sqrt{\frac{0.5705*0.4295}{801}} = 0.5362[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5705 + 1.96\sqrt{\frac{0.5705*0.4295}{801}} = 0.6048[/tex]

The 95% confidence interval for the proportion of all US adults who would say they subscribe to a video-streaming service is (0.5362, 0.6048).

Paul and James are class fellows and their ages are consecutive natural numbers. The product of their ages is 63.Paul is elder than James. Determine ages of both Paul and James.​

Answers

Answer:

Step-by-step explanation:

There are no consecutive natural numbers with a product of 63.  But, there are two consecutive ODD natural numbers with a productd of 63.  Could it be that you typed the problem incorrectly?

What is -8x-9-5+9 plz help

Answers

Answer:

-8x - 5

Step-by-step explanation:

-8x - 9 - 5 + 9 = -8x - 5

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

V100 is rational or irrational?​

Answers

Answer:

V100 is irrational I think

Step-by-step explanation:

There are six checkout tills at a small supermarket. Two of the tills have comfy seats. What is the probability an employee will get a till with a comfy seat?
Give your answer as a fraction

Answers

Answer:

mhyjdhttugjfiydjydjy

Answer:

egrhvvfgwgetfj sgtuykyhdfv.

Step-by-step explanation:

sgdhfbf gbdvdvfdfvfvtv mgbjsg gfvthr

how much interest is charge when 100,000 is borrowed for 6months at an annual simple interest rate of 12 percent

Answers

hope this helps Step-by-step explanation: 7200 cause 12 percent of 100,00 is 7200

#5:20 < 6+(-7x)
HINT! What is an equivalent way to write 6+ (-7x)?
What letter from the chart above matches the
solution to this inequality? Type your answer as a
CAPITAL letter.

Answers

Answer:

the answer i got was x<-2

Step-by-step explanation:

What is -5 + 7
I need too know this because I am in 7th grade for the 5th time and this is the unit that always made me fail. PLEASE HELP!!!

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Ok so what you wanna do is subtract 5 from 7 which is 2, the answer is 2

The area of a circle is 641 ft2. What is the circumference, in feet? Express your
answer in terms of

Answers

Step-by-step explanation:

Given

Area of a circle (A) = 641 ft²

Circumference (C) = ?

We know

πr² = 641

r² = 641 / 3.142

r² = 204

r = 14.28 ft

Now

Circumference

= 2πr

= 2 * 3.14 * 14.28

= 89.68 ft

Hope it will help :)

Answer:

The circumference is 89.68 ft.

Select the phrase that best completes the sentence.
-2x + 3 - x = 3x - 15
The equation has:
No solution

One solution x=3

One solution x=-3

Infinity many solutions

Answers

Answer:

No solution

Step-by-step explanation:

According to an AP-Ipsos poll (June 15, 2005), 42% of 1001 randomly selected adult Americans made plans in May 2005 based on a weather report that turned out to be wrong.

a. Construct and interpret a 99% confidence interval for the proportion of Americans who made plans in May 2005 based on an incorrect weather report.
b. Do you think it is reasonable to generalize this estimate to other months of the year

Answers

Answer:

a) The 99% confidence interval for the proportion of Americans who made plans in May 2005 based on an incorrect weather report is (0.3798,0.4602). This means that we are 99% sure that the true population proportion is in this interval.

b) No, since May is a month with a wide range of possible weather.

Step-by-step explanation:

a)

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

42% of 1001 randomly selected adult Americans made plans in May 2005 based on a weather report that turned out to be wrong.

This means that [tex]p = 0.42, n = 1001[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 - 2.575\sqrt{\frac{0.42*0.58}{1001}} = 0.3798[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 + 2.575\sqrt{\frac{0.42*0.58}{1001}} = 0.4602[/tex]

The 99% confidence interval for the proportion of Americans who made plans in May 2005 based on an incorrect weather report is (0.3798,0.4602). This means that we are 99% sure that the true population proportion is in this interval.

b. Do you think it is reasonable to generalize this estimate to other months of the year

No, since May is a month with a vast number of possible outcomes, as it is in the spring, not being in the winter(cold) or summer(hot), which means that it can be both hot or cold, wet or dry,...

Write your answer as a decimal or whole number.
% of 10 =7

Answers

Answer: 70%

We know that 70% of 100 is 70 but since we are working with 10 we can use a proportion.

However, just by looking at the numbers we can conclude it is 70% because if you take a zero off of 100 and 70 it is still proportionally equal to 100 and 70. Therefore, the answer is 70%.

please help it’s due!

Answers

Answer:

....m....................................

THE ANSWER IS: 42.6 units

i found the lengths of FE and FD by using the pythagorean theorem

then added all three lengths together to get 42.6

Huy is solving a quadratic equation by completing the square. His first few steps​ (steps 1-4) are shown below. Which of the following statements is true regarding​ Huy's work?

Given x2+3x−5=0
Solution x2+3x=5 step 1
x2+3x+9=5+9 step 2
(x+3)2=14 step 3
x=−3±14−−√ step 4(1 point)

Huy is incorrect. He made a mistake in step 1 when he added a 5 to both sides. He should have only added a 5 to the left side of the equation.

Huy is incorrect. He made a mistake in step 4 when he solved the equation (x+3)2=14 for x.

Huy is incorrect. He made a mistake in step 2 of the solution when he added a 9 to both sides.

Huy is correct. He has done a nice job of completing the square.

Answers

Answer:

Step-by-step explanation:

yes the answer is B

it should have been x+3=+-[tex]\sqrt{14}[/tex]

so x=-3+-[tex]\sqrt{14}[/tex]

hope my answer helps if it does please mark as brainliest

The true statement will be;

''Huy is incorrect. He made a mistake in step 2 of the solution when he added a 9 to both sides.''

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The quadratic equation is,

⇒ x² + 3x - 5 = 0

Now,

Huy is solving a quadratic equation by completing the square.

The steps are;

The quadratic equation is,

⇒ x² + 3x - 5 = 0

Solution; x²+3x=5   (step 1)

x²+3x+9 = 5+9        (step 2)

(x + 3)² = 14             (step 3)

x = - 3 ± √14           (step 4)

Clearly, In step 2 when add 9 then it not make the square form.

That is,

x² + 3x + 9 ≠ (x + 3)²

Thus, The true statement will be;

''Huy is incorrect. He made a mistake in step 2 of the solution when he added a 9 to both sides.''

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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−3(x−6)−3x⩾12equals ​

Answers

The answer is X less than or equal to 1

choose the right multiplacation equation that is correct A.16x6=22 B.16x6=636 C.16x6=96 D.16x6=123

Answers

Answer:

C. 16 · 6 = 96

Step-by-step explanation:

16 · 6 = 96, therefore option C is the correct choice :)

Answer:

The right multiplication equation that is correct is (C.16×6=96)

When building a house, the number of days required to build varies inversely with with the number of workers. One house was built in 75 days by 11 workers. How many days would it take to build a similar house with 33 workers?

Answers

Answer:

25 days

Step-by-step explanation:

11 workers in 75 days

so 33 workers do it in 25 days

MARK ME AS BRAINLIST

How many 1/2 cup servings are in 6 cups of grapes?

Answers

Answer:

There are 12

Step-by-step explanation:

hope this helps.

There is 12 1/2 servings in 6 cups of grapes

Which expression represents the algebraic phrase “eleven less than seven times a number”?
11x - 7
7x-11
11 + 7x
11-7x

Answers

11-7x because eleven less than is 11- and seven times a number is 7x
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