The population of a certain kind of bacteria doubles in size every 5 minutes. The current number of bacteria in the population, N, is equal to the product of the initial number of bacteria, I, and 2 to the power of n, where n is the number of times the population has doubled.
Initially, 599,737 bacteria are in a petri dish. How many bacteria are in the petri dish after 15 minutes?
A. 9,595,792
B. 4,797,896
C. 2,398,948
D. 3,598,422​

Answers

Answer 1

Answer:

B, 4,797,896

Step-by-step explanation:

599,737 multiplied by 2 is 1,199,474 then multiplied by 2 is 2,398,948 then multiplied by 2 is 4,797,896.

I multiplied by 2, 3 times because the population of a certain kind of bacteria doubles in size every 5 minutes and 15/5=3.


Related Questions

Help please I need help

Answers

Answer:

The range is 8.

Step-by-step explanation:

The range in a data set is the diffrence between the smallest and the largest number, in this case 1 and 9.

9 - 1 = 8

Have a nice day!

and tell me if I am wrong.

Can a triangle have two 30° angles? two 60° angles? two 90° angles? Explain.

Answers

Answer:

Step-by-step explanation:

Two 30 - yes, 180 - 30 - 30 = 120. It is possible for 2 angles to be 30, the remaining angle would also be 120

Two 60 - yes, 180 - 60 - 60 = 60. It is possible for 2 angles to be 60, the remaining angle would also be 60

Two 90 - Not possible. The entire angles of a triangle have to equal 180, this would mean only 2 angles.

PLEASSE HELP MEEE!!!!!!1

Answers

Answer:

2 cuts

Step-by-step explanation:

Get the height of the tree first

Using SOH CAH TOA identity;

Sin theta = opp/hyp

Sin 70 = /6

H = 6sin70

H = 6(0.9397)

H = 5.6381

Hence the height of the tree is 5.64m

Initial cut = 4m

Remaining height of trunk = 5.64 - 4 = 1.64

This means that he only need to make 2 cuts to cart the whole tree away

Look at the graph below.



Which point can you add to the graph to make this graph NOT A
FUNCTION?
(2,6)
(5.3)
(7.5)
(8,8)

Answers

Answer:

B. (5, 3)

Step-by-step explanation:

Given points:

(3, 5), (5, 8), (9, 7)

The graph should have a same x-value with a different y-value.

From the list we have only point (5, 3) which makes this a non-functional relationship.

Correct choice is B

Points here are

(3,5)(5,8)(9,7)

As per definition of function

Every domain has a unique range

Check option B

If we put than

The. f(5) would have 2 values 8 and 3

Which won't be a function

A question on my test:
Solve each equation over the interval [0°, 360°). If a decimal approximation is necessary, round to four decimal places. cos 2x -cos x-2 = 0

Answers

Answer:

180degrees

Step-by-step explanation:

Given the expression cos^2x - cos x - 2 = 0

Let P = cos x

P^2 - P - 2 = 0

Factorize

P^2 - 2P + P - 2 =0

P(P-2)+1(P-2) = 0

P-2 = 0 and P + 1 = 0

P = 2 and P = -1

Since P = cos x

cos x = -1

x = arccos(-1)

x = 180degrees

Hence the require angle is 180degrees

NEED HELP ASAP

Solve the problem below.

(x - 5)² + 7y, if x = 144 and y = 16

Answers

Answer:

19433

Step-by-step explanation:

Substitute x = 144 and y = 16 into the expression

(144 - 5)² + 7(16)

= 139² + 112

= 19321 + 112

= 19433

The answer is 19433
----

Answer each part below using only mental math, and describe your method. a. If 39 is 1% of a number, what is that number? How did you find your answer? b. If 39 is 10% of a number, what is that number? How did you find your answer? c. If 39 is 5% of a number, what is that number? How did you find your answer? d. If 39 is 15% of a number, what is that number? How did you find your answer?

Answers

Answer:

Step-by-step explanation:

Given:  39 = 0.01n

Move the decimal point on each side two places to the right:  3900 = n

For the drawing, provide the missing lengths. x= hypotenuse y= leg

Answers

Answer:

Step-by-step explanation:

for hypotenuse

take 30 degree as reference angle

using sin rule

sin 30=opposite /hypotenuse

1/2=5/hypotenuse

10=hypotenuse

for base

using pythagors theorem

H^2=P^2+B^2

10^2=P^2+5^2

100-25=P^2

[tex]\sqrt{75}[/tex]=P

5[tex]\sqrt{3}[/tex]=P

10V
c
8
A'
B
6
D
с
4
2
А
В B.
х
o
2.
4
6
8
10
Fine the scale factor of the dilation.

Answers

Answer:

either 2 or 1/2, depending on what the original shape was

Step-by-step explanation:

going from small to large it is clearly visible that 3 units of side length turn into 6 units. so, the scaling factor is 2.

going from large to small it is clear that 6 units of side length turn into 3 units. so, the scaling factor is 1/2.

What is the measure of o?
4 cm
e
12 cm
O A. 4 radians
O B. 3s radians
O c. 3 radians
O D. 4radians


plss helppp

Answers

Answer:  3 radians  (choice C)

==============================================

Work Shown:

L = arc length = 12 cmtheta = angle in radians = unknownr = radius = 4 cm

L = theta*r

12 = theta*4

12/4 = theta

3 = theta

theta = 3 radians, choice C is the answer.

--------

Side note: The formula L = theta*r only works if theta is in radians.

If theta is in degrees, then use L = (theta/360)*2pi*r. So you can see that radian mode is much easier in this case.

four friends contributed the sum of money to a charitable organization in the ratio 1:3:5:7. if the largest amount contrebuted is birr 35. calculate the total amount contributed by the four people​

Answers

9514 1404 393

Answer:

  birr 80

Step-by-step explanation:

The total number of ratio units is 1+3+5+7 = 16. The largest amount is represented by 7 ratio units, so is 7/16 of the total. The total contributed is ...

  16/7 × (birr 35) = birr 80

ANSWER ASAP TEST IN ONLY 45 MINUTES
Simplify the expression. 5 + 5(x – 4) – 7x
a) 2x + 25
b) -2x - 25
c) -2x - 15
d) 2x + 15

Answers

Answer:

-2x-15

Step-by-step explanation:

Answer: C. -2x-15

Step-by-step explanation: 5 + 5(x – 4) – 7x

5(x-4)-7x+5

(5x-5×4)-7x+5

5x-20-7x+5

5x-7x-20+5

-2x-15

When Souta went to Sweden, 1 Swedish krona was worth about 0.12 US
dollar. He took d dollars on the trip. Which equation could be used to find
the value in Swedish krona, k, of the dollars?


PLS HELP ASAP

Answers

Answer:

k=0.12d

Step-by-step explanation:

PLSSS
please help me get the answer and how to show my work

Answers

Answer:

Surface area of cubic box = 376 square inch

Step-by-step explanation:

Given:

Using net diagram

Length of cubic box = 10 inches

Width of cubic box = 6 inches

Height of cubic box = 8 inches

Find:

Surface area of cubic box

Computation:

Surface area of cuboid = 2[(lb) + (bh) + (hl)]

Surface area of cubic box = 2[(10)(6) + (6)(8) + (8)(10)]

Surface area of cubic box = 2[60 + 48 + 80]

Surface area of cubic box = 2[188]

Surface area of cubic box = 376 square inch

Ethan and Sam work at different department stores. Ethan is paid 125$ per week and an 8% commission on sales, while Sam is paid 200$ per week and a 6% commission on sales. Enter the amount in dollars of sales for which they earn the same weekly income

Answers

Answer:

3750$

Step-by-step explanation:

Let x be the amount in dollars of sales:

125 + 0.08x = 200 + 0.06x (when Ethan and Sam earn the same weekly income)

0.02x = 75

x = 3750

Question 9 The spinner pictured is spun 100 times and lands in sector A 40 times. What is the experimental probability of the spinner landing on the sector labeled A? NEED ANSWER ASAP FOR A TEST

Answers

40/100 because I just took the test

i will give brainliest

Answers

Answer:

A) 7p^5q^4

Step-by-step explanation:

to get 5pq² to equal 35p^6q^6 you must multiply by:

7p^5q^4 because you must add the exponents

How many significant figures are in 0.0624000?

Answers

Answer:

Use notes and youll get an answer

Step-by-step explanation:

Josh lit a 14 in candle. She noticed that it wad getting an inch shorter every 30 minutes. Write an equation in y=mx+b form to medel this situation. Let x be the number of hours and y be the total height of the candle

Answers

Answer:

y = -1/30x + 14

Step-by-step explanation:

Height (changing by -1) is the dependent variable, therefore is represented by y

Time (changing by +30) is the independent variable, therefore is represented by x

14 = where we started from

Slope = Change in y / Change in x

Slope = -1/30x

Equation = -1/30x + 14

Hope this helps!

Mike borrowed a sum of rs 9450 for 5 years at a rate of 6% per year. calculate the total amount that he had to pay.

Answers

Answer:

Step-by-step explanation:

principal=rs 9450

time=5 years

rate=6%

Interest=PTR/100

=9450*5*6/100

=283500/100

=rs 2835

Total amount=Interest+principal

=rs 2835+rs 9450

=rs12285

BRIANLIST ANSWER!! Please help on this one question ( if you’re good at this) thanks :))

Answers

Answer:

Step-by-step explanation:

(21²+10²)½ = 23.25= 23.3

Ginny paid $4.16 for a sandwich. She paid $0.95 for a piece of fruit. What is the total amount Ginny paid for the sandwich and fruit?

Answers

Answer:

$5.01 moneyyyyyy lollll

Answer:

$5.11

Step-by-step explanation:

Simplify the following expression completely.
{x^2+11x+28}
{x^2+x-12}
wrote like division

Answers

Can you please upload a picture?

Answer:

[tex] \frac{x + 7 }{x - 3} [/tex]

Step-by-step explanation:

First factorize both expressions

[tex] \frac{ {x }^{2} + 11x + 28 }{x { }^{2} + x - 12} \\ \frac{x {}^{2 } + 7x + 4x + 28 }{x { }^{2} + 4x - 3x - 12 } \\ \frac{x(x + 7) + 4(x + 7)}{x(x + 4) - 3(x + 4) } \\ \frac{(x + 7)(x + 4)}{(x + 4)(x - 3)} [/tex]

Now you can cross out x+4

and you'll be left with

[tex] \frac{x + 7}{x - 3} [/tex]

Quick plz help this is from Khan ( 40,90,X)

Answers

Answer:

Hello! answer: 45 degrees

Step-by-step explanation:

90 - 45 = 45 therefore x = 45 hope that helps!

Answer:

90 minus 45 equals 45 so x is 45 :)

Suppose that the width of a rectangular garden is (6 − 2√3) ft. And the length of the garden is (3 + √3) ft. (a) Find the area of the garden in simplest radical form. (2 points)

Answers

Answer:

A = 12 feet²

Step-by-step explanation:

Given that,

The width of a rectangular garden is (6 − 2√3) ft.

The length of the garden is (3 + √3) ft.

We need to find the area of the garden. The area of a rectangle is given by :

A = lb

Put all the values,

A = (6 − 2√3)(3 + √3)

A = 12 feet²

So, the area of the garden is equal to 12 feet².

At a carnival, there are 30 children and 18 adults.

What fraction shows the ratio of children to the total number of people at the carnival

PLZ HELP

Answers

30/48 i’m pretty sure... it says total number of ppl at the carnival so i added 18 to 30

Gunther's starting weight is 248 pounds, and he plans to lose 2 pounds each week. Use a linear equation to determine Gunther's weight after 10 weeks. what linear eqution?

Answers

Here is the linear equation
Let p = total pounds
Let w = number of weeks

248p - 2w= 10
Hope that helps :)

Alexey wrote '1*2*3*... 9 = 21' on the board, inserting a plus or minus signs in place of each little star. Sasha changed some of these signs to their opposites so that the result he got was 20. Prove that one of the boys made a mistake.​

Answers

someone answer the question on page btw ion kn the answer to this

8

Veronica is trying to prove 4ABC = ADEF.

B

E

A A

F

с

A А

D

Which statement would not help to prove the two

triangles congruent?

O A. ZC = ZF

O B. BC = EF

C. ZA ZD

. E

OD. DE = AB

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]\triangle ABC = \triangle DE F[/tex]

Required

Which would not prove the similarity

[tex]\triangle ABC = \triangle DE F[/tex]  implies that:

The following angles are congruent

[tex]\angle A = \angle D[/tex]

[tex]\angle B =\angle E[/tex]

[tex]\angle C =\angle F[/tex]

And the following lengths are congruent

[tex]AB = DE[/tex]

[tex]BC =EF[/tex]

[tex]CA = FD[/tex]

The options are not clear; so, it's a bit difficult to select the correct option.

Any of the options that is different from the above list of 6 congruent pairs is the answer to your question.

Anyone know this?I need help

Answers

Answer:

One of the legs is missing; the leg missing is 16 inches long

Step-by-step explanation:

Hypotenuse is usually the longest leg and you'll because it's directly across the biggest angle (the biggest angle is the right angle so Leg C would be the biggest leg).

20² - 12² = x²

400 - 144 = x

400 - 144 = 256

√256 = 16

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