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

X
-9
-5
-1
3
Y
- 2
0
2
4
What is the slope of the line?

Answers

ok done. Thank to me :>

Please help me solve this problem ASAP

Answers

Answer:

∠ = 130°

Step-by-step explanation:

They are vertical angles: a pair of opposite angles formed by intersecting lines. These two angles are considered congruent, which means they have exactly the same measure. So, you simply solve for x when they equal each other. Remember, both angles share the same measurement.

15x -5 = 13x + 13

5 + 15x - 5 = 13x + 13 + 5

13x - 15x = 13x + 18 - 13x

2 ÷ 2x = 18 ÷ 2

x = 9

Now you must put 9 in for x to solve the measurement of the angles.

15 (9) - 5 = 130°

13(9) + 13 = 130°

Both angles equal 130°, so you know you've done the math correctly.

enter an algebraic expression for the word expression.
The quotient of -4 and y​

Answers

Hey there!

Guide to follow

“Difference” means subtract

“Is” means equal to

“Product” means multiply

“Quotient” means divide

“Sum” means add

Answering your question….

“The [QUOTIENT] of [-4] and [y]

Remember we said “quotient” means divide

So we’re dividing -4 from y and that will be your answer.

Answer

-4 ÷ y

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

help ASAP please hmmmm ​

Answers

Answer:

the 3rd and 4th one r correct

Step-by-step explanation:

hope this helps!!!!

Help please I’ll give Brainly please answer both I’ll give 5 stars and lines

Answers

Answer:

I  really cant see the picture that well or, i would help.

Step-by-step explanation:

X=26
The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees
So, we get
(48-x) + (3x-10) =90
48-x+3x-10=90
-x+3x-10+48=90
2x+38=90
2x+38=90
2x=90-38
2x=52
Divide both sides by 2
52 divided by 2
X=26

Please help if it’s correct I will give brainliest :)

(–4v–5)–(v–1)

Answers

Answer:

(-4v-5)-(v-1)= -5v-4

Step-by-step explanation:

hope it helps :D

Answer:

ok you want to come then come here

the ratio to boys to girls in sixth grade is 5:3 if their are 400 sixth graders how many boys are their

Answers

Answer:

250 boys

Step-by-step explanation:

sum the parts of the ratio, 5 + 3 = 8 parts

Divide the total by 8 to find the value of 1 part of the ratio

400 ÷ 8 = 50 , then

number of boys = 5 × 50 = 250

Answer : There is 250 boys in the sixth grade

Step - by - step explanation :

400 / [ 5 + 3 ] = 400 / 8 = 50

50 x 5 <-- The ratio of boys = 250

A rectangular hotel room is 4 meters by 7 meters. The owner of the hotel wants to recarpet the room with carpet that costs $71.00 per square meter. How much will it cost to recarpet the room?

Answers

Answer:

is it $120?

Step-by-step explanation:

Answer:

1,988$

Step-by-step explanation:

4x7=28x71

What is the equation of the line that passes through the points (-4, 2) and (-2, 10)?

Answers

Answer:

y=4x+18

Step-by-step explanation:

HOPE THIS HELPS :)

Classify the number -5
Integer

1. Whole Number

2. Irrational Number

3. Natural Number

Answers

Answer:

1. Whole number

Step-by-step explanation:

It's a negative number, but it is not a decimal, therefore it is a whole number.

Find the area of this semi-circle with diameter,
d
= 60cm.
Give your answer rounded to 2 DP.

Answers

Answer:

3.14*15^2=706.5

706.5/2=353.25

Hope This Helps!!!

The area of the semi-circle with a diameter of 60 cm is approximately 1413 square centimeters.

What is the area of the semi-circle?

A semicircle is formed by simply dividing a circle into exactly two halves.

Hence, the area of a semi-circle is half the area of a circle.

Area of semi-circle = 1/2 × πr²

Given the parameters:

Diameter d = 60 cm

Radius r = diameter/2 = 60/2 = 30 cm

Area =?

To determine the area of the semi-circle, plug the value of the radius into the above formula and simplify:

Area of semi-circle = 1/2 × πr²

Area of semi-circle = 1/2 × 3.14 × 30²

Area of semi-circle = 1/2 × 3.14 × 900

Area of semi-circle = 3.14 × 450

Area of semi-circle = 1413 cm²

The area is approximately 1413 square centimeters.

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jack has $37 and saves $6.50 per week diane has $9 and saves $8.25 per week write and solve an equation to find out how many weeks it would take for jack and diane to have saved the same amount of money

Answers

37+6.5= 9+8.25x
-1.75x = 28
X= 16

Simplify.
(5³)²
its telling me to write at least 20 characters so uhm-- ignore the rest of this weeeeeeeeeeeeeeeeee

Answers

Answer:

5⁶=15625...............

The answer is 5^6.
When you have a power to another power, you multiply the exponents. So 3x2 is 6. The answer is 5^6

For f(x) = 4 - x and g(x) = 3x² + x + 5, find the following functions.
a.
(fog)(x); b. (gof)(x); c. (fog)(3); d. (gof)(3)

Answers

Look at the attached photo for the answers.

Justin took 55 minutes to get to school and his best friend Dwayne took 3/4 hours. How much time did they take to get to school altogether?

Answers

Answer:

100 mins or 1⅔ hrs

Step-by-step explanation:

¾ hr = ¾ × 60 mins

¾ hr = 45 mins

55 + 45 = 100

100 mins = 100 × hr/60

100 mins = 1⅔ hrs

Answer:

100 mins or 1⅔ hrs

Step-by-step explanation:

¾ hr = ¾ × 60 mins

¾ hr = 45 mins

55 + 45 = 100

100 mins = 100 × hr/60

100 mins = 1⅔ hrs

So it took them  1 2/3 hrs to get to school

4 more to go-2 + (-2) × -2 + (-2) ÷ -2

Answers

Let's se

-2+(-2)(-2)+(-2)/(-2)-2+(-2)^2+1-1+21

Done!

A certain amount of money is divided among Rio, Kim and Leo in the ratio 5:7:3. If Leo gets Php 24,000.00, how much is the total amount?​

Answers

Answer:

120,000

Step-by-step explanation:

Let's say Rio gets 5x, Kim gets 7x, and Leo gets 3x. In the ratio 5:7:3:1, x = 1

5x + 7x + 3x = total = 15x

3x = 24000

divide both sides by 3 to get x

x = 8000

15x = 8000*15 = 120000

Ashley and Christopher want to camp on the other side of a lake at point B. They are both going to kayak to the campsite from their homes. Ashley lives at point A and is kayaking from point A to point B. Christopher lives at point C and is kayaking from point C to point B. Based on the picture below, Ashley will kayak ___ miles more than Christopher. 0.5 mi, 1.5 mi, 2.5 mi, 3.0 mi. Please help!

Answers

Applying the midsegment theorem, the distant Ashley will kayak more than Christopher is: 0.5 mi

Recall:

The midsegment of a triangle joins two sides of a triangle at their midpoint.The third side is the base of the triangle.Triangles have three midsegments.Based on the midsegment theorem, the length of the midsegment = ½(third side).

The picture given shows a triangle with two midsegments: AB and BC

AB = the distance Ashley will kayak.

BC = the distance Christopher will kayak.

XY = 5 mi (base)

XZ = 6 mi (base)

Applying the midsegment theorem, find AB and BC.

AB = ½(XZ)

Substitute

AB = ½(6)

AB = 3 mi

BC = ½(XY)

Substitute

BC = ½(5)

BC = 2.5 mi

Thus, the distance Ashley will kayak more than Christopher = AB - BC

= 3 mi - 2.5 = 0.5 mi.

Therefore, applying the midsegment theorem, the distant Ashley will kayak more than Christopher is: 0.5 mi

Learn more about the midsegment theorem on:

https://brainly.com/question/12234706

If I have a ramp of 8 feet in length and 4 feet in height what is the diagonal length and degree

Answers

Answer:

almost 9

Step-by-step explanation:

Find the distance between the origin and (-12,-9)​

Answers

Answer:

Distance (d) = 15

Step-by-step explanation:

The given requires the distance between the point of origin, (0, 0), and (-12, 9). We can use the following distance formula for this problem:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]

Let (x₁, y₁) = (0, 0)

     (x₂, y₂) = (-12, 9)

Substitute these values into the distance formula.

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12\:-\:0)^2\:+\:(9-0)^2}}[/tex]

Perform the required subtraction within each parenthesis:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12)^2\:+\:(9)^2}}[/tex]

Next, take the squared values of -12 and 9 under the radical:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{144\:+\:81}}[/tex]

Add 144 and 81:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{225}}[/tex]

Distance (d) = 15

Answer:

Therefore, the distance between the point of origin and (-12, 9) is 15.

Please Help Question In Picture

Answers

Answer:

A

Step-by-step explanation:

Since Angle XYZ is equal to Angle YZX,

XY=XZ

The two triangles are congruent.So,

VW=YZ

XY=UV

XZ=UW

Thus;

XY=UV

XZ=UW

XZ=XY=UV=UW

So the permieter is 5.7 + 5.7 + 3.7 = 15.1 cm

What is the answer to X=7-3y And 2x-4y=-6



I need it

Answers

Answer:

x = − 3 y + 7

Step-by-step explanation:

Reorder  7  and  − 3


John is 9 times as heavy as his dog.
Determine which of the statement's below is true.
O John weighs 900% more than his dog.
O John weighs 800% more than his dog.
O John's dog weighs 800% less than John.
sources
O John weight is 800% of his dog's weight.

Answers

Answer:

John weighs 900% more than his dog

Step-by-step explanation:

The weight of John is 8x more than his dog.

Given that, John is 9 times as heavy as his dog.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let weight of John's dog be x, then weight of John will be 9x.

Difference of weight = 9x-x

= 8x

Therefore, the weight of John is 8x more than his dog.

To learn more about the percentage visit:

brainly.com/question/24159063.

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pls quick plsssssssss​

Answers

Answer:

[tex]{ \rm{perimeter = side + side + side}} \\ \\ { \rm{perimeter = 3 \frac{1}{2} + 4 \frac{2}{3} + 5 \frac{1}{4} }} \\ \\ { \rm{perimeter = 13 \frac{5}{12} \: cm}}[/tex]

2. List the like terms in each of the following:
i) 6a , 13b2 , -2a , 2a2 , -b2 , bc

Answers

13b2 &-b26a & -2a

i m not sure about the answer ...

Solve the inequality . Graph solution . 1/5 > d+ 4/5

Answers

Answer:

B

Step-by-step explanation:

Answer:

b. d>-3/5

Step-by-step explanation:

L.C.M=5

5×1/5>5×d+4/5×5

1>5d+4

1-4>5d

-3>5d

-3/5>5d/5

-3/5>d

what is the answer in the remainder

Answers

Answer:

12 with a remainder of 5

Step-by-step explanation:

have a good day! :)

If you use a calculator is fine 213 divided by 17 you get 12.5 the answer is 12 for the ? And 5 for the remainder

Explain why the square root of a number is defined to be equal to that number to the 1/2 power

Answers

Answer:

Because square root is essentially the same thing as the power to a half

sqrt(x) is the same as (x)^1/2

the sum of a number and 6 is greater than 76 write an inequality

Answers

Answer:

x+6>76

Step-by-step explanation:

sum is adding

greater than is >

do the values in this table represent a proportional relationship? x 2/4 6 8 y 1 2 3 4 yes, and the constant of proportionality is 12. yes, and the constant of proportionality is 2. no. i don't know.

Answers

I would think the answer is no because the x is going up times 2 (2x2=4) and the y is going up plus 1 (1+1=2)

Answer: No

Step-by-step explanation:

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