A colony of 50 bacteria double in size every 30 minutes. What will the population be 120 mintues from now?

Answers

Answer 1

Answer:

800 bacteria

Step-by-step explanation:

Over here, we have exponential growth.

So we have 50 bacteria

Every 30 minutes, it doubles in size

In 120 minutes, there are four 30 minutes.

So you do 50 * 2 * 2 * 2 * 2

Do that out and you get 800

Let me know if you have any questions


Related Questions

HELP! I need to divide 31.35 / m squared.

Answers

Answer:

it doesn't change

Step-by-step explanation:

If a fair die is rolled 7 times, what is the probability, rounded to the nearest thousandth, of getting at most 2 twos?

Answers

Answer:

0.904

Step-by-step explanation:

Using the binomial distribution, it is found that there is a 0.905 = 90.5% probability of getting at most 2 twos.

For each time the die is rolled, there are only two possible outcomes, either the result is a 2, or it is not. The result on a roll is independent of any other roll, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

The die is rolled 7 times, hence [tex]n = 7[/tex].One out of the 6 sides is a 2, hence [tex]p = \frac{1}{6} = 0.1667[/tex]

The probability is:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

Hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{7,0}.(0.1667)^{0}.(0.8333)^{7} = 0.279[/tex]

[tex]P(X = 1) = C_{7,1}.(0.1667)^{1}.(0.8333)^{6} = 0.391[/tex]

[tex]P(X = 2) = C_{7,2}.(0.1667)^{2}.(0.8333)^{5} = 0.235[/tex]

Then:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.279 + 0.391 + 0.235 = 0.905[/tex]

0.905 = 90.5% probability of getting at most 2 twos.

A similar problem is given at https://brainly.com/question/24863377

I need massive help!!!!!!!!!

Answers

Answer:

60%

Step-by-step explanation:

Write 0.6 as 0.60, which is 60 hundredths. 60 hundredths is 60 percent. You can also move the decimal point two places to the right to find the percent equivalent.

The circumference C of a circle with radius r can be calculated using the formula C=2nr which formula represents r in terms of C?

Answers

Answer:

r=C/2Pi

Step-by-step explanation:

C=2(Pi)r

r=C/2Pi

You invest $125,000 in an account that earns 4.75% annual
interest, compounded continuously.
a. What is the value of the account after 15 years?

Answers

Step-by-step explanation:

step 1. let's call the amount of money A, the initial amount A¡, the rate r, and the time t.

step 2. A = A¡e^(rt) (continuously compounding equation)

step 3. A = 125000e^((.0475)(15))

step 4. A = $254,885.32

The value of the account after 15 years will be $254885.


What is compound interest?

In theory, continuously compounded interest means that an account balance is constantly earning interest and reinvesting that interest so that it, too, earns interest.p explanation.

In finance and economics, interest is the payment of an amount above the repayment of the principal sum by a borrower or deposit-taking financial institution to a lender or depositor at a specific rate by a borrower or depositor.

Given that you invest $125,000 in an account that earns 4.75% annually for 15 years of the time.

The compound interest will be calculated as:-

[tex]P(t) = P_o\times e^{rt}\\P(t) = 1250000\times e^{0.0475\times 15}[/tex]

P(t) = $254885

Hence, the value of the account after 15 years will be $254885.

To know more about compound interest follow

https://brainly.com/question/28020457

#SPJ5

you need 3 sticks of butter for every 24 cookies you bake how many sticks of butter do you need for 16 cookies

Answers

Answer: 2

Step-by-step explanation:

24 divided by 3 is 8 so 1 stick of butter makes 8 cookies so 2 sticks of butter make 16 cookies(2 x 8)

Answer:

2 sticks of butter

Step-by-step explanation:

First, let's figure out how many cookies you can make with one stick of butter. So, we can divide 3 by 3 and 24 by 3...

[tex]\frac{3}{3} = 1\[/tex]

[tex]\frac{24}{3} = 8[/tex]

Now that we know that 1 stick of butter makes 8 cookies, we can multiply the amount of cookies till it becomes 16...

8×? = 16

We could rewrite this equation as division...

16÷8 = 2 sticks of butter

Now we know that we need 2 sticks of butter for 16 cookies...

Hope this Helps!!!

Which expressions are equivalent?


I like your cut G!

Answers

Answer:

b

Step-by-step explanation:

answer : letter b
step by step explanation:

just answer number 5 pls

Answers

Step-by-step explanation:

hope that helps . the process is shown in the above picture.

3.
We have $10,000 to invest for 45 months. How much money will we have if we put
the money into an account that has an annual interest rate of 5.5% and interest is
compounded...
a. monthly
b. quarterly
c.continuously
(find all)

Answers

The answer is a I think that is correct

The product of 3 and a number equals the sum of 16 and a number.

Answers

Answer:

The numbers can be either -8,-7,-6, or 6, 7, 8.

n(n−1)(n+1)=16(n−1+n+n+1)  

⟹n(n2−1)=16×3n  

⟹n(n2−1)n=48nn  

⟹(n2−1)−48=48−48  

⟹n2−49=0  

⟶(n−7)(n+7)=0  

n  can be  7  or  −7 , so the numbers can be either  −8,−7,−6  

Or

6,7,8

Step-by-step explanation:

6,7,8 is are variable

A small radio station can broadcast a distance of 16 miles in all directions. A broadcast from the radio station can reach a total area of-?​

Answers

Answer:

Step-by-step explanation:n1g4 a 103837 miles

Which of the following points could be tied to the coordinate graphiasathind point to
create an isoscelestrande Choose all that apply
5
-5
(2 points)
(1,3)
(-2,5
0 (4,-2)

Answers

(-2,5 that is the right answer

What is the value of 6x90.6

Answers

Answer:

543.6

Step-by-step explanation:

answer is 543.6 :)

9x + 3y = -15
-18x - 6y = 30
X = ?
Y = ?

Answers

Answer:

I dont know why the answers are the same thats how i got the answer solving them

Step-by-step explanation:

answer for 9x+3y=-15  

is

x=-5/3 -y/3

y= -5 - 3x

answer for -18x-6y=30

is

x=-5/3 - y/3

y= -5-3x

Gary needs 6 bolts for a car repair. The bolts only come in packs of 10.
What percentage of bolts will Gary use in the pack?

Answers

Answer: 60%

Step-by-step explanation:

10 percent is 1 bolt so therefore 6 bolts would make 60%

Which of these sets of ordered pairs are functions?
R={(0, 0), (1, 1), (2, 2)}
S={(0, 1), (1, 2), (2, 3)}
T={(0, 1), (0, 2), (0, 3)}
A. only set S
B. only sets R and S
C. only sets S and T
D. sets R, S, and T

Answers

Uhhhmmmmmmmmmmmmmmmmmmmmmmm

How many sides does a polygon have if each interior angle is 150 degrees?

Answers

It will have 12 sides

Provide an exact evaluation of the expression:

Answers

-1/2 is the answer hope it's correct

if it is in degrees then it should be -1/2 if I’m not wrong. if it is radians the answer will be different

what non-metal cannot form multiple bonds

Answers

Answer:A given nonmetal atom can form a single, double, or triple bond with another nonmetal. Which type of bond is formed between the atoms depends on their numbers of valence electrons.

Step-by-step explanation:

Answer:

A nonmetal atom can form either a single double or triple bond with another nonmetal. The type of bond that is formed between the atoms depends on their numbers of valence electrons.

Step-by-step explanation:


How do you write 25/50
as a percentage?

Answers

Answer:

50%

Step-by-step explanation:

Converting a fraction such as 25/50 into a percent is pretty easy.

All you have to do is divide the numerator by the denominator and then multiply that result with 100 like so:

(Numerator/Denominator)*100

Then you enter 25/50 into the above formula, you get (25/50)*100 which calculates to:

50%

:)

Hope this helps!

what is the solution or -3y+1≥7​

Answers

the answer is

[tex]y \leqslant - 2[/tex]

I NEED HELP PLEASEE ASAP

Answers

Answer:

7. open & shade right

4.  ∞>x>=11

5. 10.5<x<∞

9. closed & shade right

Step-by-step explanation:

Answer:

Step-by-step explanation:

K < 8= open circle on 8 shade left

d < 4 = open circle on 4 going to the left

9. closed circle on 13.5 going  to the right

Im not sure about the others but h oped this helped!

Kate went to the store and bought some pants for $22 and 4 shirts. She spent a total of $52. How much did each shirt cost? Write an equation to represent this situation.

Answers

Answer:

$7.5

$22 + 4x = 52

Step-by-step explanation:

Given that:

Cost of pants = $22

Number of shirts = 4

Total spent = $52

Let the cost per shirt = x

Cost of pants + cost of shirts = total

$22 + 4x = 52

4x = 52 - 22

4x = 30

x = 30 / 4

x = 7.5

Cost per shirt = $7.5

PLZZZ HELP!! 22 pts!!!

Given P(A)=0.5P, (A)=0.5, P(B)=0.24, P(B)=0.24, and P(A and B)=0.2, find the value of P(A or B), rounding to the nearest thousandth, if necessary.

Answers

Answer:  0.54

Work Shown:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.5 + 0.24 - 0.2

P(A or B) = 0.54

An angle measures 2° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

182

Step-by-step explanation:

is what that is plus 2

what is the square root of 72/25x4

Answers

Answer:

1.35764501988

Step-by-step explanation:

Pretty Please answer this!
Analyze the following image and state
Line of Symmetry
Coordinates of the Vertex, X - intercepts, Y - Intercepts.
Whether the graph is positive or negative.

Answers

Answer:

The x-intercept is where the graph crosses the x-axis, so in this case, the x-intercepts are (-4, 0) and (-2, 0).

The y-intercept is where the graph crosses the y-axis, so in this case, the y-intercept is (0,8).

The  line of symmetry splits the  graph in two equal halves, and it is x=-3.

Finally, because this graph opens up, the graph is positive.

Let me know if this helps!

Clara and Ben each have a rock collection. • The number of rocks in Clara's collection can be represented by, • The number of rocks in Ben's collection is 4 times the number of rocks in Clara's collection. • The total number of rocks in both collections is 225. What is x, the number of rocks in Clara's collection?​

Answers

Answer:

ASD

Step-by-step explanation:

please help me will give brainliest

Answers

Answer:

x= 24/7 (fraction) brainliest plss :)

Answer:

The Answer is x= 24/7

Step-by-step explanation:

The reason why

What is (0.3)⋅(0.5)?

Answers

Answer:

0.15

Step-by-step explanation:

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