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

where can I find about slopes in homework 5 unit 3

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Answer:

idk

Step-by-step explanation: sorry im in unit 6 in science im working on rn

baiiii

A narrow rectangular banner is 5 inches wide. It is 6 times as long as it is wide. what is the area ?

Answers

Answer: 30

6 times larger than the width = that's 5×6=30.

Answer:

30 is the answer

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What is the greatest possible error if Irina measured the weight of her dog as 13 pounds?

Answers

Answer:

0.5

Step-by-step explanation:

Given that:

Irina measured the weight of her dog to be 13 pounds.

The greatest possible error that could have to occur will be the maximum error.

Let assume that the 13th value obtained was rounded between the range of 12.5 → 13.49 to 13 pounds

Then;

The greatest possible error that could have to occur = 13.0 - 12.5 pounds

The greatest possible error that could have to occur = 0.5 pounds

Answer:

0.5

Step-by-step explanation:

EDGE 2020 Unit Test

The polynomial p is a function of x. The graph of p has four zeros at -4, -2/3, 0, and 9
Select all the expression that could represent p.
A
-3x(x + 4)(3x + 2)(x - 9)
B
3x(x – 4) (x + 3)(x +9)
с
3x(x + 4)(2x - 3)(x -9)
D
- x(x + 4) (x + })(x – 9)
E
-3x(x + 4)(3x + 2)(x - 9)2

Answers

It’s c if I’m right can I get branliest

The only expression of that can represent polynomial p as a function on a graph having four zeros at -4, -2/3, 0, and 9 is: A. [tex]\mathbf{-3x(x + 4)(3x + 2)(x - 9)}[/tex]

Given the four zeros of the graph of p are at:

-4, -2/3, 0, and 9

From the options given, the expression in option A will represent a function of a polynomial p with zeros at -4, -2/3, 0, and 9.

Here's why:

[tex]-3x(x + 4)(3x + 2)(x - 9)[/tex] (option A)

Therefore are four factors in the polynomial above which are:

[tex]3x\\\\(x + 4)\\\\(2x - 3), $ and\\\\(x -9)[/tex]

The zeros of polynomial p will be the following:

[tex]3x = 0\\\\x = \frac{0}{3} \\\\\mathbf{x = 0}[/tex]

[tex](x + 4) = 0\\\\\mathbf{x = -4}[/tex]

[tex](3x + 2) = 0\\\\3x = -2\\\\\mathbf{x =-\frac{2}{3}}[/tex]

[tex](x -9) = 0\\\\\mathbf{x = 9}[/tex]

Therefore, the only expression of that can represent polynomial p as a function on a graph having four zeros at -4, -2/3, 0, and 9 is: A. [tex]\mathbf{-3x(x + 4)(3x + 2)(x - 9)}[/tex]

Learn more here:

https://brainly.com/question/3166764

One number is 4 more than 3 times another. Their sum is 16. Find the two numbers.

Answers

I think the answer is 4 + 3x = 16

select all the equations on which the point (10, 0) lies. A. 5x+2y=15 B. 2x+4y=20 C. x+6y=10 D. 3x+3y=13 E. 4x+2y=20 F. 6x+y=50

Answers

Answer:

The answer to this problem is B, C, and E.

Step-by-step explanation:

The true equations are B. 2x+4y=20 and C. x+6y=10

How to determine the equations?

The point is given as (10,0)

This means that:

x = 10 and y = 0

Next, we test the options by substituting the above values.

So, we have:

A. 5x+2y = 15

5(10) + 2(0) = 15

50 = 15 ---- false

B. 2x+4y = 20

2(10) + 4(0) = 20

20 = 20 ---- true

C. x+6y=10

10 + 6(0) = 10

10 = 10 ---- true

D. 3x+3y=13

3(10) + 3(0) = 13

30 = 13 ---- false

E. 4x+2y=20

4(10) + 2(0) = 20

40 = 20 ---- false

F. 6x+y=50

6(10) + 0 = 50

60 = 50 ---- false

Hence, the true equations are B. 2x+4y=20 and C. x+6y=10

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https://brainly.com/question/14323743

#SPJ9

What is a number that when you multiply it by 8 and subtract 12 from the product, you get 76?
Equation:
Solution:

Answers

Answer:

11

Step-by-step explanation:

Equation: 8x - 12 = 76

Add 12 to both sides

8x = 88

Divide both sides by 8

x = 11

Hope this helped :)

12(x-6)and 14(x+14).

plz help

Answers

Answer:

138 and 210?

Step-by-step explanation:

Hiiii I really need helppppp pls pls

Answers

Step-by-step explanation:

sas

side angle side

mark me as brainliest

James went to the store and bought a pair of shoes on sale for $40.00. This week they were a regular price of $64.50. What was the percent discount that he bought the shoes for?
I need work shown.

Answers

Answer:

A. 62%

Step-by-step explanation:

64.50x = 40

x = 0.62015 or 62%

This means 62% of original price is $40, discount is 38%. From your options seem to be asking for percent of original price paid and not discount.

Write the expression in simplest form.
(-11/2 x + 3) -2(-11/4x-5/2)

Answers

Answer:

8

Step-by-step explanation:

(-11/2x +3) -2(-11/4x -5/2)

(-11/2x +3) +22/4x +10/2

-11/2x +3 +11/2x +5

8

Jonah’s family is ordering dinner. Each adult meal costs $8.50, each kid meal costs $6.75, and each drink costs $1.75. There are a adults and k kids in the family. If everyone orders a meal and a drink, which expression can be used to express the total cost of the meal?

Answers

Answer:

one expression you could use could be, 10.25A +8.50K=total

Step-by-step explanation:

you would take 1.75 and add it to the 8.50 for the adults and 6.75 for the kids

Answer:

$8.50a+$6.75k+$1.75a+$1.75k

Step-by-step explanation:

The entrance for the amusement park is $40, visitors purchase additional $2
tickets for rides, games and food. How many tickets can you buy if you
brought $100 to spend at the park?

Answers

Answer:

2 tickets because round

Step-by-step explanation:

make an equation: 100=40x+2 and solve

2.45 tickets so only two

40+40 =80

100-80=20

but 100-2=98 so there is only 18$ left so not enough for another ticket

Answer:

30 Tickets

Step-by-step explanation:

In the question, it said that $40 is the entrance fee. Then, it said that visitors purchase additional tickets for rides, games, and food. This means that EACH ticket is 2 dollars.

Hence, $40 (entrance fee) + $2 (each ticket price) x (the number of tickets spent) = 100 (total amount of money).

So, the equation should be 40 + 2x = 100, which means x = 30.

100 - 40 = 60

60/2 = 30

30 tickets can be purchased


A movie theater charges $7.50 for adults and $4.50 for children. For a recent showing of the movie "Maleficent," the
theater sold 43 tickets and made a total of $238.50. How many children's tickets and how many adult tickets were sold?

Answers

Answer

9 and 10

Step-by-step explanation:

Express decimal as a fraction 8.25

Answers

Answer:

33/4

Step-by-step explanation:

Solve for h: h + 4.18 = 19.74​

Answers

H= 15.56. Because 19.74 - 4.18 will equal 15.56

One-third of a number t is equal to 7.
Write the word sentence as an equation then solve

Answers

Answer:

21

Step-by-step explanation:

One third of the number can be represented by 1/3t.

To make an equation, set this equal to 7.

1/3t = 7

Then, solve for t by dividing each side by 1/3:

1/3t = 7

t = 21

So, the number is 21.

Find the zeros of f(x) =x^3+2x^2-3x

Answers

Answer: 0, 1, -3

Step-by-step explanation:

f(x) = x^3 +2x^2 -3x

f(x) = x(x^2 +2x-3)

f(x) = x(x-1)(x+3)

to find zeroes, plug into f(x) and solve for each value of x. doing this gives 0, 1, and -3

Two sides and the non-included right angle of one right triangle are congruent to the corresponding parts of another
right triangle. Which congruence theorem can be used to prove that the triangles are congruent?
AAS SSS
SAS
HL

Answers

Answer:

the answer is hl

Step-by-step explanation:

its d

Answer:

the d

Step-by-step explanation:

HL

Helpppppp please due today ​

Answers

Answer:

Y=-2x+5 (3 or C)

Step-by-step explanation:

Replace the value of x

Y= -2x(-1)+5

Solve

Y= 2+5

Y= 7

What is the slope of the line that passes through (0,0) (3,4)?

Answers

Answer:

M = 4/3 - c/3

Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

The slope formula is the difference in y over the difference in x, so 4-0/3-0.

what does the graph of f(x)=-2/3x+490 represent

Answers

Answer:

search that question up on brainly it got the answer bruu

Step-by-step explanation:

what is 12/$0.89 because i need help like now. So please give me the right answer this time cause last time i failed because i asked brainly.

Answers

Answer:

$13.4 is the answer

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Given (3x + 2) : (x - 2) = 7:5, what is the
value of x?​

Answers

Answer:

(3x+2)/(x-2)=7/5

5(3x+2)=7(x-2)

15x+10=7x-14

15x-7x=-14-10

8x=-24

X=-24/8

X=-3

pls help ill give brainleist​

Answers

I think it’s C. Im not completely sure.

Answer:

Answer is D hope this helped u :)

Step-by-step explanation:

The number of employees per department are normally distributed with a population standard deviation of 198 employees and an unknown population mean. If a random sample of 22 departments is taken and results in a sample mean of 1460 employees, find the error bound (EBM) of the confidence interval with a 80% confidence level.

Answers

Answer:

EBM = +-54.126

Step-by-step explanation:

In this question we have confidence interval to be 80%

The formula to solve this is in the attachment.

Bar X = 1460

Z-alpha/2 = 1.282

Sd = standard deviation = 198 employees

n = 22 departments

After we have inserted all values in to the formula we have:

1460 +-(1.282*198/√22)

= 1460+-(54.12604)

= (1405.87, 1514.126)

The error bounded mean EBM

= +-z-alpha/2 x (sd/√n)

= 1.282 x 198/√22

= 1.282 x 42.22

EBM = +-54.126

A class consists of 10 male students and 30 female students. If one student is randomly selected from the class, what is the probability of selecting a male student?a. 10/30.
b. 10/40.
c. 1/10.
d. 1/40.

Answers

Answer:

a=10/30

Step-by-step explanation:

because you can simplify it to 2/15

3/8 of the homes have a red door how many homes have a red door​

Answers

Answer:

three out of the eight homes have red doors. so 3 homes have red doors

Step-by-step explanation:

What are the steps in solving the equation 4(2x + 3) = 10x?

Answers

First you distribute 4 to 2x and 3. Then after you do that you get 8x+12=10x

Answer:

Step-by-step explanation:

Distributive property, subtraction, division

4(2x + 3) = 10x

8x + 12 = 10x

12 = 2x

6 = x

What is the coefficient of a3 after simplifying this expression? 2a3−10ab2+3a3−ab2−7

Answers

Answer:

5

Step-by-step explanation:

Given the expression

2a^3−10ab^2+3a^3−ab^2−7

We are to find the coefficient of a^3

First is to collect the like terms;

2a^3−10ab^2+3a^3−ab^2−7

= 2a^3+3a^3−10ab^2−ab^2−7

= 5a^3-11ab^2-7

From the resulting equation, you can see that the coefficient of the term having a^3 is 5

Answer:

5

Step-by-step explanation:

i took the quiz trust me

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