The number of bacteria in a colony growing exponentially. At 4 pm yesterday the number of bacteria is 400.And at 6 pm yesterday it was 3600. How many bacteria in the colony at 7 pm?

Answers

Answer 1

Answer:

10800

Step-by-step explanation:

The number of bacteria in a colony growing exponentially. At 4 pm yesterday the number of bacteria is 400.And at 6 pm yesterday it was 3600. How many bacteria in the colony at 7 pm?

Step-by-step explanation:

B = B₀ Kⁿ

At 4 pm yesterday the number of bacteria is 400

B₀ = 400

n = number of hrs

at 6 pm yesterday it was 3600 => n =  6- 4 = 2 hrs

B₂ = 3600

=> 3600 = 400 * k²

=> k² =  9

=> k = 3

At 7 Pm Yesterday

n = 7-4 = 3

B₃ = 400 * 3³

=> B₃ = 27 * 400

=> B₃ = 10800

bacteria in the colony at 7 pm = 10800

or B₂ = 3600 & n = 7-6 = 1

Then B₃ = 3600 * 3¹ = 10800

And boom here

Answer 2

Answer:

10800

Step-by-step explanation:

4 PM: 400

5 PM: 1200

6 PM: 3600

it multiplies by 3, so the answer is 10800


Related Questions

A scale of a living room is shown below. The scale is 1:40.






Show your work to determine the area of the room in square feet.

PLEASE EXPLAIN!

Answers

Answer:

24^2 inc

Step-by-step explanation:

The room is in a rectangular shape and to calculate the area of it we multiply width and length :

4 x 6 = 24^2 inches

Can I please get help for this question!?

Answers

Answer: what question is it?

Step-by-step explanation:

Plz, Help me its due in an hour thank you if you do help plus giving brainlyist to the first to answer the question.

Answers

Answer:

65.5 apples

0.5 apples

7 bags

65 apples

Step-by-step explanation:

I'm no math expert but I hope this helps.

Answer:

65.5 a

0.5 a

7 bags

65 a

note

a=apples

how to do this problem:5(x-2)+(-9)=-7(1-x)

Answers

answer : x = -6

solving :
5x-10-9=-7+7x
5x-19=-7+7x
5x-7x=-7+19
-2x=12
x=-6
First you must distribute the 5 into (x-2) who can will give you 5x-10 then just add the -9 which will equal 5x-10-9=-7(1-x).
After all that you do the other side of the equation and distribute it as well to get -7+x. So that gives you 5x-10-9=-7+x
then 5x-19=-7+x when simplified. so add 19 on both sides to get 5x=12+x then -x on both sides and get 4x=12 so x=3

yesterday, Linda traveled 128 miles to visit her uncle. Her car used for gallons of gasoline. If Linda's car uses gasoline at the same rate, how many gallons of gasoline will her car used today when she travels 432 miles?

Answers

Answer:

Linda car will use 13.5 gallons

Step-by-step explanation:

The sum of 5 times a number and 6 is twice that number.

Answers

Answer:

the number is three

Step-by-step explanation:

6÷2 is equal to 3, so you do 3x5 which is equal to 15.

How can you use multiplication to help you divide 6000 by 20

Answers

6000/20=300

Hope this helps

Answer:

300

I don't know how to show my answer on a computer.

I need help with this question. welp
plz explain with detail and show your working

Answers

Answer:Day6
Step-by-step explanation: photo

Answer:

6 days

Step-by-step explanation:

d = days

cost of $60 makes a -60 value

30d - 60 = 20d    (20-30=-10)

-60 = -10d

-60/-10 = 6

d = 6 days

Determine the following for the graph:

Minimum:
Maximum:
What is the amplitude?
What is the vertical shift from the parent function?

Answers

Answer:

The answer to the next one is B. y= -3sin(x)

I need help with problem 11

Answers

I really don’t know gang but be strong you can do it

Answer:

x = 68

Step-by-step explanation:

The formula for calculating the sum of interior angles of a polygon is: (n - 2) x 180° (where n is the number of sides)

This polygon has 5 sides, so the sum of the interior angles:

(5 - 2) x 180° = 540°

To find x, add together all the angle expressions, equate to 540 and solve for x:

                                                       U + V + W + Y + Z = 540

                       (x - 8) + (3x - 11) + (x + 8) + x + (2x + 7) = 540

Gather like terms:  x + 3x + x + x + 2x - 8 - 11 + 8 + 7 = 540

Combine like terms:                                           8x -4 = 540

Add 4 to both sides:                                               8x = 544

Divide both sides by 8:                                             x = 68

When choosing a new school mascot, 80 students voted for an eagle, and 160 students voted for a bulldog. Rounded to the nearest whole percent, what percent of these students voted for a bulldog?
A. 36%
B. 60%
C. 67%
D. 70%

Answers

Answer:

C. 67%

Step-by-step explanation:

80 students + 160 students = 240 students total

160/240 = 0.667 or ~67%

Answer:

C) 67% (rounded)

Step-by-step explanation:

240 students voted altogether

160 out of 240 is equal to 2/3 which, as a percent, is 66 2/3%

Please help, it’s linked to polygons

Answers

Answer:

It has 15 sides.

Step-by-step explanation:

( n-2 ) × 180 / n = 156

180n - 360 = 156n .


180n - 156n = 360

24 n = 360

n = 360/24 = 180/12 = 90/6 = 15 .

n = 15 sides.

On a multiple-choice test with five possible answers for each question, what is the probability of answering a question correctly if you make a random guess? (write your answer as a decimal).

Answers

The probability of answering correctly if you make a random guess is:

P = 1/5 = 0.2

How to find the probability for a random guess?

If you make a random guess, then you have no idea of which could (or couldn't) be the correct answer. Thus, all the 5 options have the exact same probability of being the correct one.

From this, the probability of answering correctly the question is given by the quotient between the number of correct answers (we assume is only one) and the total number of options (5).

So the probability is:

P = 1/5 = 0.2

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

Andy, Bert, and Charles have 20 pieces of chocolate. Some of the chocolates have nuts, some are plain, and some are filled with caramel (they are split in a ratio of 1:2:2, respectively). Neither Andy nor Charles can eat nuts, and Charles will always take caramels over plain chocolates if he can (the others are indifferent to plain or caramels). If Andy, Bert, and Charles split the chocolates among themselves in a ratio of 3:1:1, respectively, in a way that makes each person as happy as possible, how many pieces of chocolate with caramel does Andy receive?

Answers

Answer: 4

The ratio in which the chocolates are divided into types can be seen as splitting the chocolates into 1+2+2 = 5 equal parts. Since there are 20 chocolates, each part corresponds to 20/5 = 4 chocolates. Thus, there are 1*4=4 chocolates with nuts, 2*4=8 plain chocolates, and 2*4=8 chocolates with caramel. Now, the three boys are dividing the chocolates into 3+1+1 = 5 equal parts. Thus, each part again corresponds to 4 chocolates. So, Andy will receive 3*4=12 chocolates, Bert will receive 1*4=4 chocolates, and Charles will receive 1*4=4 chocolates. Because neither Andy nor Charles can eat nuts, and there are four chocolates with nuts, and Bert receives four chocolates, Bert must take all of the chocolates with nuts. Charles receives four chocolates total, and, since he prefers caramel, he will take four of the eight caramels. This leaves eight plain chocolates and four caramels to make up Andy's twelve chocolates. Thus, Andy receives 4 pieces of chocolate with caramel.

Can anyone help on this?? It’s due tomorrow!!

Answers

Answer: BXC =70°

Step-by-step explanation:

XBC= isosceles so XBC=XCB

XBC=55° (isosceles triangle)

BXC+XBC+XCB=180° (angles in a triangle =180°)

BXC=180°- (55°+55°)

BXC=180°-110°

BXC=70°

What is 1 19/100 as a decimal?

Answers

1.19

Explanation:
Uhh well… 1 19/100 is the same as 119/100 so just do 119 divided by 100…
And then you’ll get 1.19 which is 1 19/100 as a decimal.
Hope this helps!

Answer: 1.19

Step-by-step explanation: To convert this mixed number (fraction) to a decimal just follow these two steps:

Step 1: divide numerator (19) by the denominator (100): 19 ÷ 100 = 0.19

Step 2: add this value to the the integer part: 1 + 0.19 = 1.19. So,

1 19/100 = 1.19

Rounded values:

1 19/100 = 1 rounded to 0 decimal places

1 19/100 = 1.2 rounded to 1 decimal place1

Write a story problem to go with the multiplication problem 4 x 2/3 then solve the problem.

Answers

Story:

There is a tank that can fill 4 liters of water. The 2/3 of the tank has been filled with water. How much liters have the tank filled with water?

Solution of story:

We know that:

Tank = 4 liters2/3 x 4 = Water filled in tank

Multiply both the terms to get the answer.

Solution:

2/3 x 4 liters=> 8/3 liters = 2 2/3 liters

Hence, 2 2/3 liters has been filled with water.

Hoped this helped.

A. person can do 2/3 of work a day how many times can he do that work in 4days?

Solution:-

Just multiply numerator with numerator and denominator with denominator.

[tex]\\ \tt\hookrightarrow 4\times \dfrac{2}{3}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{4(2)}{3}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{8}{3}[/tex]

[tex]\\ \tt\hookrightarrow 2\dfrac{2}{3}[/tex]

Each small car can hold 5 people and each large car can hold 8 people. The students rented 2 more large cars than small cars, which altogether can hold 94 people. Whats the number of small cars rented and the number of large cars rented?

Answers

Answer:

6 small cars and 8 large cars

Step-by-step explanation:

if there are 94 people, 6 small cars can fit 30 people, so there'll be 64 people left, and 8 large cars can fit exactly 64 people.

The shapes are similar. Find the value of x.

Answers

Answer:

here is ur answer

Calculate the area of a regular pentagon with the side length 12 m

Answers

Answer:

I think the answer is 144 m

Step-by-step explanation:

pls rate and like!

A=1
45(5+25)a2=1
4·5·(5+2·5)·122≈247.74875m²

Therefore your answer is A≈247.75m²

:3

X^2+10

Factor the expression

Answers

[tex]x^{2} +10\\x^{2} -(-10)\\x^{2} -10i^{2} \\(x+10i)(x-10i)[/tex]

Hope it will help you

Step-by-step explanation:

X^2+10=0 here’s the answer

Hello help me please

Answers

Answer:

22°

Step-by-step explanation:

z=158 (opp angles)

u = 22 (180-158)

u = x = alternate angles equal = 22

x=s=22(opp angles)

Solve for x. Round to the nearest tenth, if necessary.

Answers

answer
hope this helps

PLEASE HELP ME ASAP
One week, the ratio of flats sold to houses sold in a town was 3:7. 12 more houses were sold than flats. How many flats were sold? GIVE ME AN GOOD EXPLANATION thank you

Answers

Answer: 5 flats

Step-by-step explanation:

Ratio: 3 : 7 = 3/7

3/7 = x/12

3 x 12 = 7x

36 = 7x

x ≈ 5

Hope this helps!

What’s the answer for a, and b, and how would you solve it?

Answers

Answer:

a) negative

b) -7/6

Step-by-step explanation:

The x value increased, but the y value decreased so the line goes down and has a negative slope

(y₁-y₂)/(x₁-x₂) is the slope where (x₁,y₁) and (x₂,y₂) are points on the line

(4-(-3))/(-1-5)=7/-6

The baseball association bought 96 shirts
for $1488.00. What was the cost of shirts for
a team of 12 players?

Answers

Answer:

186

Step-by-step explanation:

1488 / 96 = 15.5, 15.5 x 12 = 186

A car travels 35 km in half an hour. What is the average speed of the car in km/hr?

Answers

Answer:

70 km in an hour

Step-by-step explanation:

35 x 2 is 70

Answer:

Step-by-step explanation:

70km/h

Source: https://www.gigacalculator.com/calculators/average-speed-calculator.php

what is 30 x 7 -10 + 5

Answers

Answer:

205

Step-by-step explanation:

30×7-10+5 = 210-10+5

= 200+5

= 205

Answer:

Use the PEMDAS method. it helps alot

Find the area of the circles with : (vi) circumference = 66cm

Answers

Answer:

Area = A = 65.999999999997 cm

Step-by-step explanation:

Circumference = 66 cm

Circumference = 2πr

So        2πr = 66 cm

     r = 66/2π =10.509554140127

Area of circle  = πr²   = 3.14(10.509554140127)²

Area = A = 65.999999999997

(Compound Amount and Compound Interest)

Compute for compound amount and interest

1. P20,520 for 3 years and 3 months at 9% compounded quarterly

2. P25,750,25 for 2 years and 5 months at 8 25% compounded monthly

I would really appreciate if someone can get this answer for me please:)​

Answers

ok done...........................

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