A bacterial population has an exponential growth rate of 11.2% per hour. If there were 480 bacteria initially, what would the bacterial population be after 5 hours

Answers

Answer 1

The number of bacterial population after 5 hours is; 816

The formula for the exponential growth of the population is;

N(t) = N_o(1 + r)^(t)

Where;

N(t) is number of bacteria after t hours

N_o is number of bacteria initially

r is growth rate

t is time

We are given;

N_o = 480

r = 11.2% = 0.112

t = 5

Thus;

N(5) = 480(1 + 0.112)^(5)

N(5) = 816.14

Approximating to a whole number gives; N(5) = 816 bacteria

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Related Questions

A small jar of mustard holds 75% as much as a large jar of mustard. If the large jar holds 36 ounces, how much does the small jar hold?

Answers

Answer:

27 ounces

Step-by-step explanation:

36 / 4 = 9 x 3 = 27

look at this inequality

Answers

the correct answer is choice B

Find the solution set of each inequality below, and then determine which inequalities have the same
solution set as -(-8x – 3) < 23. Select all that apply.

A
1
(8x + 3) < -23
B
(10x =
- 20) >-44
1
(8x + 3) >-23
(10
(10x +20) >44
E
(8x + 3) < 23
F-crx
(10x +20) < -44
+

Answers

Answer:

(8x+3)<23 is the same as -(-8x-3)<23

Step-by-step explanation:

-(-8x-3)<23  Original equation

(8x+3)<23   [Remove the parentheses]

It is the same equation as the chosen answer: (8x+3)<23

Answer:

Choice E.

Step-by-step explanation:

-(-8x – 3) < 23

-8x - 3 >  -23

-8x > -20

x < 20/8

x < 2.5.

E:-

(8x + 3) < 23

8x < 20

x < 2.5.

How i can answer this questions

Answers

Answer:

B and C

Step-by-step explanation:

[tex]2(b+3c) =(b+3c)+(b+3c) = 2b +2(3c)[/tex]

Sara bought 12 roses for $30. Find the unit price

Answers

You can divide 12 by 30. This will get you the price of 1

The pages in Rana’s diary are rectangular and not square. Both the length and width are measured in
whole centimeters. The perimeter of each page is 44 cm. What could be the area of each page?

Answers

Based on the information given, it should be noted that the area of the pages will be 112cm².

Since the perimeter is given as 44cm, the dimensions of the pages will be 8cm and 14cm.

Therefore, the area of the pages will be calculated thus:

= Length × Width

= 8cm × 14cm

= 112cm²

Therefore, it can be concluded that the area of the pages will be 112cm².

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Can someone help me plsss

Answers

the answer is
-32r+3

need help on this one

Answers

Answer:

[tex]g(x)=\frac{1}{8} x^{3} -\frac{3}{2} x^{2} +6x-5[/tex]

Step-by-step explanation:

[tex]x=2\sqrt[3]{y-3} +4[/tex]

switch the x and y, then use order of opperations

I need help on this question
No links!

Answers

Answer:

>

Step-by-step explanation:

> means greater than and because 79 is greater than -5, the correct sign you would use will be >

79 > -5

>79 is greater than negative5

Need NOW help FAST PLS . hs geometry

Answers

Here, the two angles are equal.So, it is an isosceles triangle.So, the two opposite sides to the equal angles will be equal.Therefore, XY = YZ[tex]15 = 4x + 3 \\ = > 4x = 15 - 3 \\ = > 4x = 12 \\ = > x = 3[/tex]Therefore, YZ = 4x + 3 = 4(3) + 3 = 12 + 3 = 15

Hope you could get an idea from here.

Doubt clarification - use comment section.

What is the cash payment of a article costing RS.2020 allowing a discount of Rs.20 and levying 13% VAT?​

Answers

The cash payment for the article is RS. 2,260.

A discount reduces the price of an item. The article becomes cheaper after the discount.

Cost of the article after the RS. 20 discount = RS. 2020 - 20 = RS 2000

VAT means value added tax. VAT increases the price of an item. The cost of the article increases by 13% after the  VAT is levied,

Cost of the article = (100 + 13%) x 2000

1.13 x 2000 = RS 2,260.

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Find the quotient of 3,976 ÷ 28 = ________. Use the partial quotients strategy to help you.

Answers

Answer:

142

Step-by-step explanation:

Hope this helps

What is the probability that a student took AP Chemistry, given they did not get into their first-choice college? Enter
your answer as a decimal to the ten thousandths place.

Answers

Using conditional probability, it is found that there is a 0.2273 = 22.73% probability that a student took AP Chemistry, given they did not get into their first-choice college.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Event A: Did not get into their first-choice college.Event B: Took AP chemistry.

According to the chain given, the percentages associated with not getting into their first-choice college are:

0.1375(chemistry).0.1575(physics).0.24(Env Sci).0.07(Biology).

Hence:

[tex]P(A) = 0.1375 + 0.1575 + 0.24 + 0.07 = 0.605[/tex]

The probability of both not getting into their first-choice college and taking chemistry is 0.1375, hence [tex]P(A \cap B) = 0.1375[/tex]

Then, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1375}{0.605} = 0.2273[/tex]

0.2273 = 22.73% probability that a student took AP Chemistry, given they did not get into their first-choice college.

To learn more about conditional probability, you can take a look at https://brainly.com/question/14398287

Answer: 0.2273

Step-by-step explanation: because it says so <3

if laura has a school loan of $420,a car loan of $300 and rent of $550,what must she budget just to pay those expenses?

Answers

Answer:

1270

Step-by-step explanation:

420+300+550

$420+300=720+550=1270


f(x) = -3x – 12
g(x) = 3x2 – 2x – 14

Answers

Answer:x

=

2

3

,

1

Step-by-step explanation:

What is the arc length if the central angle is 225 degrees and the radius of a circle is 3 cm

Answers

Answer:2*225*pie/360*3

Step-by-step explanation:

The required length of the arc is 11.78cm

Angle θ = 225 degrees
radius = 3 cm

arc = ?

What is an arc?

Arc is the measure of angle on the circumference of circle.

Length of an Arc = θ × (π/180) × r

Length of an Arc =225 × (π/180) ×3
= 11.78

Thus, the required length of the arc is 11.78 cm


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#SPJ2

Nathan works the same number of hours each day, 5 days each week. He earns $12 per hour. Last week he earned $420. How many hours did he work each day?

Answers

Answer:

He worked 7 hours each day, last week

Step-by-step explanation:

-$420 earned last week

-He worked for 5 days (420 / 5)

-He earns $12 per hour

- How many hours he worked is unknown (x)

Equation

12x = 420/5

12x = 84

x = 7

The diagram shows a square pizza box with side lengths of 12 inches. In the box is a circular pizza with a radius of 5 inches. What is the difference between the area of box and the pizza? Use π = 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

Box

Area of the box

Area = s^2

s = 12 inches

Area = 12^2

Area = 144

Pizza

Area = pi r^2

Area = 3.14 * 5^2

Area = 25 * 3.14

Area = 78.5

Difference = 144 - 78.5

Difference = 65.5

32-?-10+4=16 what is the missing number?

Answers

X=10

Hope this helped :)

I need help with numbers 17 and 18.

Answers

Answer:

  17.  D

  18.  C

Step-by-step explanation:

For both of these questions, you only need a general understanding of what rotation, translation, and dilation do. That is sufficient to let you choose the correct answer.

17.

The coordinates of Y are both negative, so it is a point in quadrant III on the graph. Rotating a point in quadrant III 270° clockwise will rotate it through quadrants II and I to quadrant IV, where it will be to the right and below the origin. Translation 9 units right and 5 units down will put it farther to the right and farther below the origin, still in quadrant IV.

As you know, translation right 9 units adds 9 to the x-coordinate. Translation down 5 units subtracts 5 from the y-coordinate. That means the coordinates of Y' must have x > 9 and y < -5. There is only one answer choice like that:

  D.  Y'(11, -8)

__

18.

Dilation about the origin multiplies each coordinate by the scale factor. It does not change the quadrant of a point on the graph. The original coordinates of R are (negative, positive), so it is in quadrant II. The dilated point will still be in quadrant II, but will be closer to the origin. Both coordinate values will change.

  R' = (1/3)R = (1/3)(-2, 3) = (-2/3, 3/3)

  R' = (-2/3, 1) . . . . . matches choice C

A movie theater sold a total of 50 tickets. 23 of the tickets were child tickets, and the rest were adult tickets. What is the ratio of the number of adult tickets to the total number of tickets?

Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.

Answers

27/50

Step-by-step explanation:

You would have to subtract 50 and 23 to find out how many adult tickets there was

Find the value of x. Please help me. I can’t find the answer.

Answers

Answer:

Step-by-step explanation:

The two sides opposite the angles marked as equal are themselves equal

4x + 8 = 48 - x                 Add x to both sides

4x + x + 8 = 48                Combine

5x + 8 = 48                      Subtract 8 from both sides.

5x + 8 - 8 = 48 - 8           Combine

5x = 40                            Divide by 5

5x/5 = 40/5

x = 8

Can someone help answer b plzzz

Answers

No she is not correct
80 x.70 is 56 as you wrote, and it says 70% wait LESS THAN 30 minutes
On the left of the graph, time, you go to 30 minutes and the patients are much less (21) than 56 patients

ANSWER: No

Help please just this 1-5 please answer correctly​ but real people only answer correctly​ I'll do anything​

Answers

Answer: Check the answers below

Step-by-step explanation:

Remember: slope is rise/run

1) 3/15 = 0.2 ft

2) 4/3

3) 2

4) 6/8

5) 2/9

Pls help me with this question

Answers

Step-by-step explanation:

A

the answers are already right in picture. we only need to count.

maybe the problem is understanding a cube ? when it says here "the edge of each cube is 1 1/2 in long", then it means that every side length of a cube is the same (length, width, height). it is the principle of a 2-dimensional square in 3 dimensions.

and "prism" is simply another word for "box".

so, we see that there are 5 cubes fitting along the length of the prism.

so, the length of the prism is

5× 1 1/2 in = 5× 3/2 = 15/2 = 7 1/2 in.

3 cubes are the width of the prism.

so, the width of the prism is

3× 1 1/2 in = 3× 3/2 = 9/2 = 4 1/2 in.

B

we know the height of the prism is 3/4 ft.

1 ft = 12 in

3/4 ft = 3/4 × 12 = (3×12)/4 = 36/4 = 9 in

how many layers of cubes fit into 9 in ?

well, that is what we use division for :

9 ÷ 1 1/2

this is the same as

9 / 3/2 = (9/1) / (3/2)

to divide by a fraction is the same as to multiply with the upside-down fraction. therefore :

(9/1) × (2/3) = (9×2) / (1×3) = 18/3 = 6

so, 6 layers of the cubes fit into the prism.

In 13, write an equation. Complete the table and graph to solve the problem. A puppy weighs 1 pound. What does the puppy weigh after 4 weeks? Puppy gains 1/2 pound each week.

I figured out that the puppy weighs 3 lbs., but I don't get how to graph it. HELP? (this was due a few days ago)

Answers

Answer:

It would be y=0.5x+1

Step-by-step explanation:

1/2 is the x which is the slope and it starts at 1 so that is the the y-intercept

look at screenshot to see question

Answers

The correct answer is C and m=7

I need help with this question

Answers

Answer:

-5,2

Step-by-step explanation:

it literally represents LM and Shows it on the graph

PLEASE HELP ME!!!!

Which table represents the increasing linear function with the greatest unit rate?

Answers

Answer:

the answer should be C

Step-by-step explanation:

Hope this helps!

HELP PLS !!! IM IN A TESTT!

Answers

1. c
2. d
3. a
4. b

Hope I got this to you in time!
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