Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1100 bacteria selected from this population reached the size of 1177 bacteria in three hours. Find the hourly growth rate parameter. Note: This is a continuous exponential growth model. Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.

Answers

Answer 1

Answer:

Rate = 10^(log[Ending Amount / Beginning Amount] ÷ time)  -1

Rate = 10^(log(1177 / 1100) ÷ time) -1

Rate = 10^(log( 1.07) ÷ 3) -1

Rate = 10^(0.029383777685 /3) -1

Rate = 10^(0.0097945926) -1

Rate = 1.0228091219 -1

Rate = .0228091219% / hour

Source http://www.1728.org/expgrwth.htm

Step-by-step explanation:


Related Questions


please help i only have a few minutes!!

what are the measures of 1 and 2?

Answers

Answer:

3;87

Step-by-step explanation:

Since they are complementary, they add up to 90°. This allows you to write the equation

[tex]x+(16x+39) = 90 \rightarrow 17x=90-39 \rightarrow 17x=51 x=\frac{51}{17}=3[/tex]

The second angle measures then [tex]90-3 = 87[/tex]

Question : Explore criteria of congruency of triangles using a set of triangle cut outs

Answers

Answer:

       Explore Various Criteria for Congruence TrianglesSASASAAASSSSRHS

Find the exact value of tan 5 π .

Answers

Answer:

0.274714403

Step by step explanation:

The answer is: zero (0)

23+4⋅2−7

the 23 is 2 to the third power.

Answers

Answer:

12618

Step-by-step explanation:

23x23x23=12617

4•2=8

12617+8=12625

12625-7=12618

Answer: 9

Step-by-step explanation:

The correct answer to [tex]2^{3} + 4[/tex] ⋅ [tex]2 - 7 = 9[/tex]

I hope that helps :)

Please help, I will give good rating and brainliest of possible!!
Thank you!!!!!!!!

Answers

Answer:

[tex]g(x)=x+8[/tex]

Step-by-step explanation:

Translating a function up is very simple, all you need to do here is add 8.

If you want to think of it logically,

[tex]f(x)=x[/tex]

the whole right side of the function here can be our output. If x is 8, then the output, or height, is also 8. if you wanted to translate that up to 10, you'd simply need to add 2 to it, meaning [tex]x+2[/tex]. Then, at any given point on the function, it'd be 2 higher than it would be otherwise.

Wander for the questions

Answers

Just simply plug in the variables.
1. 7-2=5
2. 2(7)+3(2)=20
3. 2(7+2)=18
4.(7-2)^2=25

A city's population is increasing at a rate of 2% per year.

If this rate of growth remains the same and the population is 2 million in the year 2014, approximately how many people will there be after 20 years?

a.)
2.02 million

b.)
2.88 million

c.)
2.14 million

d.)
2.97 million

Answers

Based on the information the number of people that will there after 20 years is: d.)  2.97 million.

Using this formula

P(t) = Population ×(1+ rate)^t

Where:

Population=2 million

rate=2%

time=20 years

Let plug in the formula

P(t) = 2×(1+.02)^20

P(t) = 2×(1.02)^20

P(t) = 2×1.485947

P(t) = 2.97 million

Inconclusion the number of people that will there after 20 years is: d.)  2.97 million.

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A jar contains 28 marbles. Half of the marbles are red. Half of the non-red marbles are white and the rest are blue. Todd chose a white marble at random and kept it. What is the probability that when Hosea now draws a marble it will also be white

Answers

Answer:

2/9

Step-by-step explanation:

28 marbles in all

"Half of the marbles are red."

28/2 = 14 red

"Half of the non-red marbles are white..."

14/2 = 7 white

"...and the rest are blue."

25 -14 -7 = 7 blue

"Todd chose a white marble at random... " -from the bag that has...

14 red 7 white 7 blue

"... and kept it."- so now the marbles left in the jar are...

14 red 6 white 7 blue

P (white) = Number of white marbles/ Total number of marbles = 6/27 = 2/9

Find the greatest common factor of 6a^3b^2c^10 + 20c^10 – 8a^3b^2c^9

Answers

Answer: [tex]2c^9[/tex]

Step-by-step explanation:

I'm assuming this is the expression: [tex]6a^3b^2c^{10}+\:20c^{10}\:-\:8a^3b^2c^9[/tex]

[tex]\mathrm{Factor\:}6a^3b^2c^{10}[/tex] (Expand using 2's and 3's as they are the common factor in all terms)

[tex]2\cdot \:3\cdot \:a\cdot \:a\cdot \:a\cdot \:b\cdot \:b\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]

[tex]\mathrm{Factor\:}20c^{10}[/tex] (5 needed to expand the coefficient)

[tex]2\cdot \:2\cdot \:5\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]

[tex]\mathrm{Factor\:}8a^3b^2c^9[/tex]

[tex]2\cdot \:2\cdot \:2\cdot \:a\cdot \:a\cdot \:a\cdot \:b\cdot \:b\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]

Common factors (terms that are in all expressions):

[tex]2\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]

Simplify:

[tex]2c^9[/tex]

is 0.75 degrees Celsius a negative temperature or positive temperature

Answers

Answer:

Positive

Step-by-step explanation:

Anything below 0 is negative. 0.75 > 0

5 cm is about 2 inch. Explain in a line graph to find out how many inch are in 50 cm.

Answers

Answer:

20 inches

Step-by-step explanation:

If that's centimeters on the x-axis and inches in the y-axis, then the slope is 2/5 and the y-intercept is 0.

[tex]y=\frac{2}{5}x[/tex]

The slope of 2/5 in this context means 2 inches per 5 centimeters. Then, either by solving the equation or by graphing the line, you can determine that there are about 20 inches in 50 centimeters.

At the local ballpark, the team charges $5 for each ticket and expects to make $1,500 in consessions. The team must pay its players $2,200 and pay all other workers $1,500. Each fan gets a free bat that costs the team $3 per bat. How many tickets must be sold to break even?
A - 275 B - 1100. C - 2600 D - 440​

Answers

Answer:

  B - 1100 tickets

Step-by-step explanation:

Fixed costs appear to be ...

  $2,200 +1,500 = $3,700

The amount of cost that is not covered by concession income is ...

  $3,700 -1500 = $2,200 . . . . remaining cost

The contribution margin per ticket is apparently ...

  $5 -3 = $2

So, the number of tickets that must be sold to cover the remaining cost is ...

  $2200/($2/ticket) = 1100 tickets

profit = revenue minus cost.

revenue is 5 dollars a ticket plus 1400 dollars in concessions.

the cost for the players is 2000 dollars and the cost for the other workers is 1600.

each person who buys a tickets gets a free bat that costs 3 dollars each.

let x equal the number of people who buy a ticket.

revenue = 1400 + 5x.

that's the revenue from the concessions plus 5 dollars for each ticket sold.


cost = 3600 + 3x

that's 2000 for the players and 1600 for the workers and 3 dollars for each bat given away.

profit = revenue minus cost.

profit = 1400 + 5x - (3600 + 3x)

simplify to get:

profit = 1400 + 5x - 3600 - 3x.

combine like terms to get:

profit = -2200 + 2x.

to find the break even point, set profit equal to 0.

set p = 0 and the profit equation becomes:

0 = -2200 + 2x.

add 2200 to both sides of this equation to get:

2200 = 2x

divide both sides of this equation by 2 to get:

1100 = x

50 POINTS!!!
Which is the graph of linear inequality x - 2y = -12?

Answers

Bottom one
I think or not the first one

3. Tom's entered a snowman building contest in which the person who builds the tallest
snowman wins. Currently, the record is 13.4 feet high. If Tom's snowman is currently 9 feet
high, how many more feet does he need to build on, in order to win the competition

Answers

tom's snowman has to increase by anything greater than 4.4 ft

Answer:

4.5 feet

Step-by-step explanation:

9+4.5=13.5

13.5>13.4

Determine whether each graph shows a positive correlation, a negative
correlation, or no correlation. If there is a positive or negative correlation,
describe its meaning in the situation.

Answers

Answer:

Positive correlation.

Step-by-step explanation:

From the graph we can see overall increasing trend.

It means there is a positive correlation.

The meaning of this is the more time you spend on study the better test score you get.

Answer:

Negative correlation

Step-by-step explanation:

As TV hours increase, exercise

hours decrease.

Can anyone please help me answer this Math question ? As soon as possible !


The We-Make-It factory in the United States pays its 250 workers an average of $21 per hour, including benefits. The average number of work hours per employee in a year is 1,924. The owners of the factory are considering relocating overseas to a country where they can pay workers an average of $6 per hour, including benefits, to achieve the same production levels. Assuming that the company would hire the same number of workers for the same number of hours in a new location, how much could We-Make-It save in wages alone in the first year by moving to the proposed overseas location?

Answers

Assuming that this would not be destroying the lives of many in a community by locating overseas. The factory would save $2,886,000 in payroll wages during the first year of relocation.

Step-by-step explanation:

$15 saved in wages/working hour × 250 workers × 1924 hours per year/worker = $2,886,000

Select the equation that has a = 112 as its solution.
a−114=35
a+358=434
416+a=523
a×38=214

Answers

Answer:

none

Step-by-step explanation:

a-114=35 ⇒ a= 149

a+358=434⇒ a=76

416+a=523⇒ a=107

ax38=214⇒ a=5.63

The equation that has 112 as it's solution is not existing in the options.

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given are four linear equations.

Check the solution of each equation.

a - 114 = 35

Adding both sides of the equation with 114,

⇒ a = 35 + 114 = 149

a + 358 = 434

Subtracting both sides of the equation with 358,

⇒ a = 434 - 358 = 76

416 + a = 523

Subtracting both sides of the equation with 416,

a = 523 - 416 = 107

a × 38 = 214

Dividing both sides of the equation with 38,

a = 214/38 = 5.63

Hence none of the equations have 112 as it's solution.

Learn more about Equations here :

https://brainly.com/question/29657983

#SPJ2

Can someone please help me

Answers

Answer: B

Step-by-step explanation: I beilieve it's B but, don't take my word.

Simplify the following expression.

Answers

Answer:

-1

Step-by-step explanation:

[tex]3 + \sqrt{10 - {3}^{2} } + - 5 \\ = 3 + \sqrt{10 - 9} - 5 \\ = 3 + \sqrt{1} - 5 \\ = 3 + 1 - 5 \\ = 4 - 5 \\ = - 1[/tex]

Answer:

-1

Hope you could get an idea from here.

Doubt clarification - use comment section.

Write all the terms of the following X+y+z​

Answers

Answer:

xyz

Step-by-step explanation:

The terms are the addends in the sum:

  x, y, z

2. Which will help you answer, "To what power must a student raise the number 5 to have an answer of 625?"

Answers

Answer:

125

Step-by-step explanation:

The power of 4. Powers are numbers multiplied by themselves. 5 to the fourth power is really 5x5x5x5 which equals 625

Solve the following proportions for v V/5=13/17

Answers

Answer:

v=3 14/17,v=3.8235294117647058

Explanation:

v/5=13/17simplify the equation using cross multiplication

17v=65Divide both sides of the equation by 17

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If the ratio y/x is the same for all related pairs of x and y, what does that mean about the relationship between x and y?

Answers

Answer:

The the relationship is linear

Step-by-step explanation:

If y/x is same for all pairs of x and y, slope is a constant value that is not changed by value of x or y. Hence, it is linear function.

Help I’m so confused

Answers

Answer:

5x: linear; monomial

-7: constant; monomial

x^2 + 4: quadratic, binomial

x^2 - 3x + 11: quadratic, trinomial

2x - 9: linear, binomial

Step-by-step explanation:

Name using degree: just count the highest number of variables in a single term. if it's 0, its a constant polynomial, if it's 1 it's linear, 2 quadratic, 3 cubic

Name using number of terms: just count the number of "things" added or subtracted. If there's one, it's a monomial, two: binomial, three: trinomial.

A bus traveling at a constant rate of 50 miles per hour. At this rate, how far will the bus travel 3 1/4 hours?

Answers

First, let's do the easy part! Multiplying 50 by 3 will give us how far the bus would travel in 3 hours. 50 x 3 = 150.

Now let's do the quarter. 50 / 4 = 12.5. Simply add these two together now!

The bus will travel 162.5 miles!

Hope this helps :)

PLEASE HELP ME PLEASE

Answers

Answer:

5

Step-by-step explanation:

Greg is a novice cook trying to perfect his baked potato recipe. He decides to put
many. potatoes in the oven and invites all his friends over. Every few minutes he
takes a potato out of the oven and asks some friends to rate its taste on a scale
from 1 to 10, where 10 is excellent.
For each taste, Greg writes down the number of minutes the potato spent in the
oven, x, as well as its rating from 1 to 10, y.
The least squares regression line of this data set is:
y = 0.109x + 1.437
What rating does this line predict for a potato spending 67.11 minutes in the oven?
Round your answer to the nearest integer,

Answers

2.079 I think? I’m sorry if I’m wrong I haven’t done this in years and I just wanna help….

after a party 3/4 cake is leftover. Dennis eats 1/2 of the leftover cake. Which fraction model represents the amount of cake Dennis eats?​

Answers

8/8-5/8 = 3/8 Which Is Equivalent To The Amount Of Cake Left Over And The Amount Of Cake That Dennis Ate

What is the area of a triangle with the Base of √10 and a height of √13

Answers

Answer:

5.70

Step-by-step explanation:

[tex] a = \frac{1}{2} bh \\ \frac{ \sqrt{10} \sqrt{13} }{2} \\ \frac{ \sqrt{130} }{2} [/tex]

[tex]a = \frac{11.401}{2} \\ = 5.70[/tex]

Answer:

5.70

Step-by-step explanation:

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Determine the area of the yellow sector

Answers

Answer:

146 is the answer im positive

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