Researcher were testing out a new antibiotic on a certain bacteria. They started with 38,000 bacteria. After one treatment with antibiotics, 33,820 were left. After a second treatment, 30,100 bacteria were left. How many bacteria will be left on day 27

Answers

Answer 1

Answer:

1836 bacteria

Step-by-step explanation:

Now the data is a progression; 38,000, 33,820, 30,100 .........

We can find out what type of progression it is, in this case, we can see that it is a geometric progression because;

r= 33,820/38,000 = 30,100/33,820 = 0.89

So, for a geometric progression;

Un = ar^n-1

Where;

a = 38,000

r = 0.89

n = 27 days

Un = ???

Un = 38,000 * (0.89)^27 - 1

Un = 1836 bacteria


Related Questions

-10\left(-\frac{1}{2}+\left(-\frac{7}{2}\right)+7y=25

Answers

Answer:

[tex]y=\frac{47}{14}[/tex]

Step-by-step explanation:

Given

[tex]-10\left(-\frac{1}{2}\right)+\left(-\frac{7}{2}\right)+7y=25[/tex]

Required

Solve for y

[tex]-10\left(-\frac{1}{2}\right)+\left(-\frac{7}{2}\right)+7y=25[/tex]

Open brackets

[tex]\frac{10}{2}-\frac{7}{2}+7y=25[/tex]

Collect Like Terms

[tex]7y=25 -\frac{10}{2}+\frac{7}{2}[/tex]

Take L.C.M

[tex]7y=\frac{50-10+7}{2}[/tex]

[tex]7y=\frac{47}{2}[/tex]

Divide both sides by 7

[tex]y=\frac{47}{2*7}[/tex]

[tex]y=\frac{47}{14}[/tex]

what ratiois equivalent to the ratio 7 : 350

Answers

Answer:

14: 700

Step-by-step explanation:

First you must ad or multiply each part of your ratio multiple times.

This was the next number in the ratio outlook.

I multiplied 7x2

Then 350x2

which got me the ratio 14:700

SOMEONE PLEASE HELP ME!!!.

Answers

Answer:

B

I used Jedi Powers and anyone else who answers is a sith lord

A concession stand at a baseball game sells hot dogs and boxes of popcorn. Justin buys a total of 9 snacks. The number of popcorn boxes he buys is three less than twice as many hot dogs. Which system of equations models this situation if he bought h hot dogs and p boxes of popcorn?

Answers

Answer:

}p=3−2h

][

}h=9−p

Step-by-step explanation:

i don't know the steps but i know the answer.

The equation that models the situation is h + p = 9 and 2h - p = 3

Equation

Let h represent the number of hot dog snack and p represent the number of popcorn snack.

Justin buys a total of 9 snacks. Hence:

h + p = 9    (1)

the popcorn boxes he buys is three less than twice as many hot dogs. Hence:

p = 2h - 32h - p = 3    (2)

The equation that models the situation is h + p = 9 and 2h - p = 3

Find out more on equation at: https://brainly.com/question/13763238

An eccentric math teacher told his class that he would assign one problem on the first day of school, two
problems on the second day, four problems on the third day, eight problems on the fourth day, and so on. At
this rate, how many problems would he assign on the tenth day? Find a rule that can be used to determine the
number of problems assigned on the nth day.

Answers

N is the day it is, so since we are trying to find the number of problems for the 10th day, n will equal 10. The quantity of problems is doubling each day, so you will create this rule:

2^n - 1

Now, to plug in the numbers:

2^10 - 1

Then we simplify:

2^9

And now we solve this equation:

2^9 = 512

pls help
The bird flew 7.2 kilometers. How many miles did it fly?

1 mi = 1.6 km

12 mi
2.8mi
4.5 mi
5.1 mi

Answers

4.5 miles. 1.6 times 7.2 is 4.47 which rounds up to 4.5

What is the value of x^2 – 3 when the value of x is 4?

Answers

Answer: the value is 13

Step-by-step explanation:

we simply substitute the letter for the number 4.

4^2 - 3

16 - 3

13

Answer:

13

Step-by-step explanation:

The base of a parallelogram is 6 ft more than the height. If the area of the parallelogram is 55 ft^2​, what are the measures of the base and the​ height?

Answers

Answer:

Height = 5 ft

Base = 11 ft

Step-by-step explanation:

The area of a parallelogram is

Base × Height

From the question:

The base of a parallelogram is 6 ft more than the height.

Base = 6ft + h

If the area of the parallelogram is 55 ft^2​,

what are the measures of the base and the​ height?

This is calculated as:

55 ft² =( 6 + h ) × h

55 = 6h + h²

h² + 6h - 55 = 0

h² +5h - 11h - 55 = 0

h(h + 5) - 11(h + 5) = 0

(h + 5)(h - 11) = 0

h - 11 = 0

height = 5ft

Base = 6 + h = 6 + 5

Base = 11ft

Write the equation of the line in slope-intercept from:
1. Point:(2,3) slope: 4
2. Point:(1,4) slope:-2
3. Point:(-2,5) point:(0,3)
4. Point:(7,0) point:(3,-3)
If you do this, you’ll be the greatest person in the world!

Answers

Answer:

1. 4x - 5

2. -2x + 6

3. x + 3

4. 4/3x - 5

Step-by-step explanation:

I used a calculator and my math skills :)

Find the holes
[tex]f(x)=\frac{x}{x+2}[/tex]

Answers

Answer:

        x = - 2

Step-by-step explanation:

The "holes" are the x-es where function doesn't exist.

One must not divide by 0, so given function doesn't exis if the denominator is equal 0

x + 2 = 0  

x = - 2  


The graph shows how a motorboat travels around a lake. What does the graph most likely show?

Answers

D, it increases then goes at a constant speed

The speed of the boat increases steadily for 10 minutes and travels at a constant speed after 10 minutes.

Option D is the correct answer.

What is speed?

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

The x-axis can be assumed as 10 minutes for each unit.

Now,

From the graph, we see that the speed is steadily increasing as the time increases from x= 0 to x = 10.

From x = 10, the line on the graph is horizontal this means, the speed is constant.

Thus,

The speed of the boat increases steadily for 10 minutes and travels at a constant speed.

Learn more about speed here:

https://brainly.com/question/7359669

#SPJ2

A soccer field is 100 meters long. What could be its length in yards? 33.3 91 100 109 Explain your thinking.

Answers

109 yards
bc it is trust meh

Select the correct answer. What is the solution of
[tex] \frac{5}{2}x - 7 = \frac{3}{4}x + 14[/tex]
A. x = -6
B. x = 6
C. x = 8
D. x = 12​

Answers

Answer:

Option D

Step-by-step explanation:

[tex] \frac{5x}{2} - 7 = \frac{3x}{4} + 14[/tex]

[tex] = > \frac{5x}{2} - \frac{3x}{4} = 14 + 7[/tex]

[tex] = > \frac{7x}{4} = 21[/tex]

[tex] = > x = \frac{21 \times 4}{7} = 12[/tex]

lmkk if u know this, i need sum help

Answers

use cos to get an equation and then solve.

The number 24 is divisible by... select all that apply.
15 points
2
3
4
5
6
9
10

Answers

Answer:

2,3,4, and 6

Step-by-step explanation:

All of these answers are factors of 24. 2 times 12 is 24, 3 times 8 is 24, and 4 times 6 is 24. Therefore, 24 is divisible by these 4 numbers.

I think it’s what the other person said

Iris takes her clothes to the laundromat every 6 days, and
Eddie takes his clothes to the laundromat every 8 days? They
both go to the laundromat today.
How many days pass until the next time they take their clothes to
the laundromat on the same day again

Answers

23 days would pass by and they would both go to the laundromat on the 24th day.

Please help I need it fast

Answers

Answer:

J

Step-by-step explanation:

-11=4(-3)+1

-3 =4(-1)+1

1 =4(0)+1

9 =4(2)+1

13=4(3)+1

21=4(5)+1

Sophia scored 33 points in a basketball game. She scored four
more two-point baskets than three-point baskets.
Write a system of equations in standard form that models this
situation.
How many three-point baskets did Sophia make?

Answers

Answer:

Let's try to set up some equations. We'll say a is the number of 1-point shots, b the number of 2-point shots, and c the number of 3-point shots.

A basketball player scored 33 points in one game.

So a + 2b + 3c = 33

He scored four more 2-point baskets than he did 3-point baskets.

So b = c + 4

The number of free-throws equaled the sum of the number of 2-point and 3-point shots made.

So a = b + c

and since b = c + 4,

a = (c + 4) + c = 2c + 4

Substituting in a + 2b + 3c = 33,

(2c + 4) + 2 * (c + 4) + 3c = 33

which simplifies to

7c + 12 = 33

So c = 3, b = 7, a = 10

Answer:

The system of equations in standard form that models this situation are:

2x+3y=33

x-y=4

What is the area of the semi circle if the diameter is 10 cm

Answers

Answer:

39.25 cm

Step-by-step explanation:

The formula for a circle is pi x radius x radius.

So to get the radius, you multiply 10 and 1/2.  You should get 5.  Then you multiply 5 by 5.  You should get 25.

Then you multiply 3.14 and 25.  You should get 78.5.

The last step is to divide 2 by 78.5. You should get 39.25

Answer:

39.25 cm

Step-by-step explanation:

A = 3.14 x r^2 / 2

if the diameter is 10 then the radius is 5

A = 3.14 x 5^2 / 2

A = 3.14 x 25 / 2

A = 78.5 / 2

A = 39.25

I need help please and thank you. ​

Answers

Answer:

AC is 7 feet Because it is just a foot above AB

PLS HELP
What is the answer to the proportion you set up in the last problem? Type ONLY the number in the box

Answers

Answer:

4

Step-by-step explanation:

z = [tex]\frac{6}{15}[/tex] × 10

  = 4

PLEASE HELP FAST

Solve for X

Answers

Answer:

x = 26

Step-by-step explanation:

[tex]\frac{12}{x-2} = \frac{13}{x}[/tex]

Cross-multiply => 12x = 13x - 26

Isolate x => -x = -26

Divide by -1 => x = 26

It’s 26 since the 12 and 13 are combine

The school that Scott goes to is selling tickets to the annual dance
competition. On the first day of ticket sales the school sold 2 adult
tickets and 14 child tickets for a total of $164. The school took in
$130 on the second day by selling 5 adult tickets and 7 child tickets. What is the price of one adult ticket?

Answers

Senior tickets (x)
Child tickets (y)

First day: 3x + 5y = 70

second day: 12x + 12y = 216

Solve the system of equations (use elimination)

Multiply first equation by -4 -4(3x + 5y = 70), which makes it

-12x - 20y = -280
(+)12x + 12y = 216 add to second equation

-8y = -64

divide by -8. y = 8

Plugin the y value to either equation ( I will choose first equation)

3x + 5(8) =70

3x+ 40 = 70

3x = 30

x = 10

Senior tickets are $10, child tickets are $8

Which statements are true regarding triangle LMN? Check all that apply.

Answers

Answer:A,C,E

Step-by-step explanation:I took the quiz

Answer:

its right ACE

Step-by-step explanation:

Hi whats up like my drawing

Answers

Yes i like your drawing and the type of consent the mountains make me feel

Answer:

noice, i could never draw like that, it's really good

I need help with solving for y

Answers

I believe it would be y=5-5x/3

Answer:

y = [tex]-\frac{5}{3}[/tex] x + 5

Step-by-step explanation:

Solve an equation for a variable mean to leave that variable on one side of that equation by itself.

5x + 3y = 15

5x + 3y - 5x = 15 - 5x

3y = - 5x + 15

[tex]\frac{3y}{3}[/tex] = [tex]\frac{-5x}{3}[/tex] + [tex]\frac{15}{3}[/tex]

y = [tex]-\frac{5}{3}[/tex] x + 5

Write an expression for the perimeter in simplest form.


A) 3x + 3
B) 3x3 + 18
C) 3x + 9
D) 3x + 5 ​

Answers

.............The answer is B

could someone please help me with this​

Answers

Answer: i think it would be D

Step-by-step explanation:

A large bag of chocolate chips contains 11 1 4 cups. A cookie recipe needs 1 1 2 cups of chocolate chips. How many times can the cookie recipe be made? .

Answers

Answer: 7 1/2

Step-by-step explanation:

From the question, we are informed that a large bag of chocolate chips contains 11 1/4 cups and that a cookie recipe needs 1 1/2 cups of chocolate chips.

The number of times that the cookie recipe can be made will be:

= 11 1/4 ÷ 1 1/2

= 45/4 ÷ 3/2

= 45/4 × 2/3

= 7 1/2

The recipe can be made 7 1/2 times

Can you please help me I am struggling so much. what does n equal in this equation?
-6 > n/15

Answers

Answer:

n  <  − 90

Step-by-step explanation:

hope this helps and have a great day!

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