A bacteria culture contains 1500 bacteria initially and doubles every hour. Find a function N that models the number of bacteria after t hours. Write out how many bacteria there will be for t = 0, 1, 2, etc. and think about how you are getting those values.

Answers

Answer 1

Answer: N(t) = (2^t)*1500

Step-by-step explanation:

Let's define the hour "zero" as the initial population.

So if N(t)  is the number of bacteria after t hours, then:

N(0) = 1500.

Now, we know that the population doubles every hour, so we will have that after one hour, at t = 1

N(1) = 2*1500 = 3000

after two hours, at t = 2.

N(2) = 2*(2*1500) = (2^2)*1500

After three hours, at t = 3

N(3) = 2*(2^2)*1500 = (2^3)*1500

So we already can see the pattern, the number of bacteria after t hours will be:

N(t) = (2^t)*1500


Related Questions

Does the following table show a proportional relationship between the variables
g and h?
g 3 6 9
h 9 36 81

Answers

Answer:

the answer is no it doesnt

10 points Four cookies cost $14. At this rate. how much will 10 cookies cost?​

Answers

Answer:$35

Step-by-step explanation:well each cookie cost $3.50 so for $14 there are only 4 cookies so for ten it will cost $35 cause 14+14=28 and you need to 2 more cookies so you will add 2 more which is $7 and $7+$28=$35.Hope I’m right

24 bhsshhtjjhkjjsmsmssyn

Please help I’ll mark u :(:

Answers

Answer:

put it into slope intercept form. which is y=mx+b

Step-by-step explanation:

Y=2x+23 is the answer

The sum of a first and second number is 130. If the second number is 20 less than four times the first number, find the two numbers. Let x represent the first number and y represent the second number.

Write the System of Equations used to solve this problem.

Answers

Use this equation to solve for the first number 130=4x-20 and then subtract that answer to get from 130 to get the second number. Im sorry im not sure what system of equations is hopefully this helped

The system of equations used to solve this problem are: x+y=130 and

y=20-4x. For this system x=-110/3 and y=500/3.

System of Linear Equations

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

You should convert the text into a math expression:

x+y=130 (1)

y=20-4x  (2)

Thus, you should replace the value of y given in equation 2, into equation 1. The,

x+20-4x=130

-3x=130-20

3x=-110

x= - 110/3

Therefore, y will be:

y=20-4*(- 110/3 )

y=20+440/3

y=60/3 +440/3

y=500/3

Learn more about the system of equations here:

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Pz Answer for Brainliest

Answers

Answer:

thank you for free point and have a nice day

Answer:

Where is the question

Step-by-step explanation:


Three times a number is at most negative six.
3x5-6
O 3x2-6
O 3x<-6
O 3x>-6

Answers

The answer is 9 because you solve it from left to right and 3x5 equals 15, 15 subtracted by 6 equals 9

Answer:

3x ≤ - 6

Step-by-step explanation:

let the number be x.

three times of it would be 3x

since 3x is at most -6, 3x must be less than or equal to -6.

hence, 3x ≤ -6

however, your option seems to not have any sign that has equal to so perhaps the nearest answer would be 3x < -6

What is the radius of a circle whose equation is x2+y2−10x+6y+18=0?

2 units
4 units
8 units
16 units

Answers

Answer:

4 Units

Step-by-step explanation:

Edge 2021

Completing the squares and comparing with an standard equation, it is found that the radius of the circle is of 4 units.

What is the equation of a circle?

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In this problem, the equation is:

x² + y² - 10x + 6y = -18

Then, we start the steps to complete the squares, as follows:

x² - 10x + y² + 6y = -18

(x - 5)² + (y + 3)² = -18 + 25 + 9

(x - 5)² + (y + 3)² = 16

Then, the radius is found as follows:

r² = 16 -> r = 4 units.

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plsss helpppp 6x^2+4x-42

Answers

Answer:

Step-by-step explanation:

6x^2+4x-42

2(3x^2+2x-21)=0

3x^2+2x-21=0

3x^2+(9-7)x-21=0

3x^2+9x-7x-21=0

3x(X+3)-7(X+3)=0

(3X-7)(X+3)=0

So Answer is (3x-7)(X+3)

A teacher had 52 boxes of chocolates with 34 pieces of
chocolate in each box. She wanted to give them to 26 girls and
to 32 boys. Each girl got 36 pieces of chocolate. How many
pieces of chocolate did each boy get?
__ pieces of chocolate

Answers

Answer:

each boy will get 26 pieces of chocolate

Answer:

The boys got 26 pieces of chocolate (gender inequality, lol)

Step-by-step explanation:

52 x 34 = 1768

26 x 36 = 936

1768 - 936 = 832

832/32 =

26

What is the surface area in square inches of a cube with a side 7 inches long? HEL0 QUICK​

Answers

Answer: a = 294 square inches

Use the formula: A = 6a^2

Answer:

294

Step-by-step explanation:

A=6x²

A=6*7²

A=6*49

A=294

2)
Last year Jose sold a painting for $2000. If he made 25% profit on the sale, how much had
he paid for the painting?​

Answers

Answer:

1600 is the answer

Step-by-step explanation:

x + 0.25x= 1.25x =2000÷1.25 =1600

Raul earned $3,600 in one month. He paid $828 in income tax that month. What decimal represents the income tax rate?

Answers

Answer:

0.23

Step-by-step explanation:

A formula I like to use to find the answer to these types of questions is

[tex]\frac{828}{3600} =\frac{x}{100}[/tex]

first, multiply 828×100=82,800

now divide 82800÷3600=23

so your answer is 23%=[tex]\frac{23}{100}[/tex]=0.23

How do you solve these angles again?

Answers

Answer:

(2x+2)

=98

(x+34)

=82

Step-by-step explanation:

a straight line adds up to 180

(2x+2)+(x+34)=180

x+2+x+34=180

(2x+x)+(2+34)=180(Combine Like Terms)

3x+36=180

3x+36=180

Step 2: Subtract 36 from both sides.

3x+36−36=180−36

3x=144

Step 3: Divide both sides by 3.

3x/3=144/3

x=48

Now you have your x just substitute it in

(2x+2)

=98

(x+34)

=82

If answers not right i am sorry but i tried

An airplane flies at an elevation of 500 feet above sea level. A whale swims the same distance below sea level, what number represents the elevation of a whale?

Answers

Answer:

500 below because you just do the opposite

A university president proposed that all students must take a course in ethics as a requirement for graduation. Three hundred faculty members and students were asked about their opinion on this issue. Find the probability that if one person is selected at random, from these 300 persons, this person is a faculty member or is in favor of this proposal.

Answers

You did not add the attachment for this question to be answered. I have added it

Answer:

0.5333

Step-by-step explanation:

We have

P(faculty) to be the probability of faculty being selected

= 70/300

= 0.233333333

We also have

P(favor) to be the probability of being in favor of this proposal

= 135/300

= 0.45

In answer to this question,

The required probability

= P(faculty) + p(favor) - p(faculty n favor)

p(faculty n favor) = 45/300

= 0.15

Probability = 0.233333333 + 0.45- 0.15

= 0.5333 approximately

According to Ohm’s law, voltage varies directly with current. A cellphone uses an 8-volt battery and has an electric current of 1.5 amps. What is the constant of proportionality?

5.3 ohms
6.5 ohms
9.5 ohms
12.0 ohms

Answers

Answer:

5.3

Step-by-step explanation:

the value K in the formula 8volt divided by 1.5 amps is = 5.3 ohms... ur welcome!!

pls mark this as brainless

One number is four times the other number. The larger number is also 87 more than the smaller number.
Find the larger number.

Answers

Answer:

116

Step-by-step explanation:

Let numbers be x and y

Then we have equations:

x = 4yx = y + 87

Comparing

4y = y + 874y - y = 873y = 87y = 87/3y = 29

Then, the larger number is

x = 4*29 = 116

Which phrases can be represented by the expression 60w?

Answers

The product of 60 and a number and sixty times a number.

The answer is 60 plz correct me

Plz help will mark Brainliest What is the length of Ac

Answers

I’m not sure but I think 8

Each Christmas elf makes x toys in an hour. n elves work for t hours to produce 1000 toys.

Write an equation that relates x, n, and t.

Answers

Answer:

e(X x T)=1000

Step-by-step explanation:

You do the number of toys they make(X) times the hours they work(T). Then multiply all of it by the number of elves(e). All of that equals the 1000 toys they make all together.

Equation relates x, n and t is n × x × t = 1000

What is  an equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Each elf makes x toys in an hour

one elf will make x × t toys in t hours

n elf will make 1000 toys in t hours

So n elf will make 1000 toys in t hours

n × x × t = 1000

Hence, the equation relate x, n and t is n × x × t = 1000

Learn more about Equation here

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Which set of statements explains how to plot a point at the location
(-33.-2)
Start at the origin. Move 3 units right because the x-coordinate is - 3
3.
-3-3
is between 3 and 4. Move 2 units dow
A because the y-coordinate is -2.
Start at the origin. Move 3 units down because the x-coordinate is 3.1.-3 is between -3 and -4. Move 2 units
left because the y-coordinate is -2.
O Start at the origin. Move 3 units down because the x-coordinate is -3
-3.7.-3
2 is between -3 and -4. Move 2 units
right because the y-coordinate is -2.
Start at the origin. Move 3 units left because the x-coordinate is -3
-35-3 is between -3 and -4. Move 2 units
down because the y-coordinate is -2.

Answers

Answer:

last one or d

Step-by-step explanation:

Lets test these statements. 1 is incorrect. 2 is incorrect 3 is incorrect 4 is correct.

The answer is the last one

PLEASE HELP THIS IS WORTH 50 POINTS!!!

Answers

Answer:

Do you still need help

Step-by-step explanation:

Answer:

You still need the awnser?

Step-by-step explanation:

Write an absolute value equation that has the given solution of -2 and 10.

Answers

Answer:

x² - 8x - 20

Step-by-step explanation:

Given that 2 values of x

x = -2 & 10, then

x + 2 = 0

x - 10 = 0, we enclose them in s bracket, and then proceed to expanding them both, by so doing, we have

(x + 2) (x - 10) =

x² - 10x + 2x - 20 = on collecting like terms, we have something in this mould

x² - 8x - 20

Thus the equation that arises given two numbers -2 & 10 is

x² - 8x - 20 = 0

Write the null and alternative hypotheses in words and then symbols for each of the following situations.

a. A tutoring company would like to understand if most students tend to improve their grades (or not) after they use their services. They sample 200 of the students who used their service in the past year and ask them if their grades have improved or declined from the previous year.
b. Employers at a firm are worried about the effect of March Madness, a basketball championship held each spring in the US, on employee productivity. They estimate that on a regular business day employees spend on average 15 minutes of company time checking personal email, making personal phone calls, etc. They also collect data on how much company time employees spend on such non-business activities during March Madness. They want to determine if these data provide convincing evidence that employee productivity changed during March Madness.

Answers

Answer:

A) the hypothesis in words and symbols are;

Null hypothesis: Grades have not improved for most students

Alternative hypothesis: Grades have improved for most students

Null hypothesis; H0: p^ = 0.5

Alternative hypothesis; Ha: p^ > 0.5

B) Null hypothesis: During march madness, employees averaged 15 minutes per day on non - business activities

Alternative hypothesis: During march madness, employees averaged more than 15 minutes per day on non-business activities

Null hypothesis; H0: μ = 15

Alternative hypothesis; Ha: μ > 15

Step-by-step explanation:

A) We are told that they sampled 200 of the students who used their service in the past year and ask them if their grades have improved or declined from the previous year. Thus, there will be a 50% chance of success for their grades to have improved and a 50% chance for it to remain the same.

Thus; p^ = 0.5

So the hypothesis in words and symbols are;

Null hypothesis: Grades have not improved for most students

Alternative hypothesis: Grades have improved for most students

Null hypothesis; H0: p = 0.5

Alternative hypothesis; Ha: p > 0.5

B) We are told that they estimate that on a regular business day employees spend on average 15 minutes of company time checking personal email, making personal phone calls, etc

Also, They also collect data on how much company time employees spend on such non-business activities during March Madness.

The hypotheses in words and symbols are;

Null hypothesis: During march madness, employees averaged 15 minutes per day on non - business activities

Alternative hypothesis: During march madness, employees averaged more than 15 minutes per day on non-business activities

Null hypothesis; H0: μ = 15

Alternative hypothesis; Ha: μ > 15

The Null hypothesis is the initial truth which we would like to counter using the alternative hypothesis. The Null and Alternative hypothesis for the given situation are :

1.)

Null hypothesis : There have been no change in the grade obtained by the students.

Alternative hypothesis : The grade obtained by the students have improved as students now attain better grades after attending the tutoring class

Using symbol :

[tex] H_{0} : \hat {p} = 0.5 [/tex][tex] H_{1} : \hat {p} > 0.5 [/tex]

2.)

Null hypothesis : There is no change in the productivity of employees during the period as the amount of time spent on non-business activities remains the same.

Alternative hypothesis : There is a change in productivity has employees spend more than 15 minutes engaging on non-business activities.

Using symbol :

[tex] H_{0} : μ ≤ 15 [/tex][tex] H_{1} : μ > 15 [/tex]

Learn more : https://brainly.com/question/16819441

Margaret prepared and cooked the food
for their Thanksgiving feast for 5 hours and
25 minutes. She started at the time shown
below. What time did she finish

Answers

What’s the time she started?

Triangle ABC is a right triangle
The length of BC is 5 units.
The area of ABC is
square units.
10

Answers

Answer:

the height of the triangle is 4

Step-by-step explanation:

2a/b

2(10/5)

2*2

=4

Answer:

The answer is 50.

Step-by-step explanation:

hellpppppp please I will give brainliest​

Answers

Answer:

I think the answer is y=2x-2

Hope it is correct! The x is positive because the angle is pointing to the right, and the -2 came from the position of the line.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

2x – 2 < -4 or 2x – 2 > 20

Answers

Answer:

2x – 2 < -4 or 2x – 2 > 20 equals

Step-by-step explanation:

x < − 1 or x > 11

I hope this helps ya

What is the value of r2s for r=10 and ​s=2?

Answers

Hey there!

10(2)(2) 10(2) = 2020(2) = 40Thus, your answer is: 40

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst

I’m not quite sure what the answer to this is... some help would be nice! :)

Answers

Answer:

x = total animals

.53x + .28x + .16x +6 = x

.97x +6 = x

6 = .03x

x = 200 total animals

Step-by-step explanation:

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