Javier is working in a lab testing bacteria populations. After starting out with a population of 378 bacteria, he observes the change in population and notices that the population doubles every 36 minutes. Find the equation for the population P in terms of time t in minutes. Round values to three decimal places.

Answers

Answer 1

This can be represented by the exponential function:

[tex]P=378(2)^\frac{t}{36}[/tex]

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the factor.

Let P represent the population of the bacteria after t minutes.

Since the bacteria starts with a population of 378, hence a = 378. The bacteria doubles every 36 minutes, This can be represented by:

[tex]P=378(2)^\frac{t}{36}[/tex]

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Related Questions

what is the answer for number 2?

Answers

Answer:

7/3

Step-by-step explanation:

integral of equation is x^3/3-6x^2/2+5x/1

the answer will be

7^3/3-3*7^2+5*7-0= 343/3-147+35= 7/3

The GDP per capita of ten arab countries is given in US Dollars. Find the median: 22865, 37749, 3046, 5738, 69687, 3980, 29266, 3345, 17791, 1249 (1 Point 12057 O None of these 0 11764.5 O 17791​

Answers

Answer:

11764.5

Step-by-step explanation:

Given numbers:

22865, 37749, 3046, 5738, 69687, 3980, 29266, 3345, 17791, 1249

Put the numbers in ascending order:

1249, 3046, 3345, 3980, 5738, 17791, 22865, 29266, 37749, 69687

Since the set is even, the median is the average of the middle numbers:

(5738 + 17791)/2 = 11764.5

Cinco múltiplos del 12

Answers

Answer:

60 Sana po makatulong pa brainlest please

Convert 13.86° to degrees/minutes/seconds

Answers

Answer:

13,51,36.00

Step-by-step explanation:

Taryn mowed 9 yards and makes $112.50. How much does Taryn charge
to mow one yard?

Answers

12.50$ cause if you do 112.50/9 it equals 12.5

Which of the following does NOT reveal the variation (spread) of the data? Check all that apply. Mean Mode Standard Deviation Range Median

Answers

Mean, mode and median does NOT reveal the variation (spread) of the data.

When analyzing data, the most sort for characteristics is the variation (spread) in the data.

The values of the data in a sample might be more closely near the mean in some data sets whereas in other data sets the values of the data might be spread out from the mean.

Common measure of variation or spread are the standard deviation, range, variance.

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Henry is investing at a continuously compounded annual interest rate of 4.4%. How many years will it take for the balance to triple? Round your answer up to the nearest whole number, and do not include units in your answer.

Answers

The number of years it would take the amount to triple is 25 years.

The formula that would be used to determine the number of years it would take the balance to triple is:

FV = PV  x [tex]e^{r}[/tex]N

Where:

n = number of years fv = future value PV = present value e = 2.7182818 r = interest rate

3 = [tex]e^{0.044}[/tex]N

Take the log of both sides

log(3) / log(e) /  (0.044) = 25 years

A similar question was answered here: https://brainly.com/question/7133042

What are the slope and y-intercept on the graph of the linear equation on the grid?​

Answers

Answer:

simple look at y intercept then look at slope or you can solve two points by using the formula y2-y1/x2-x1

but your formula is

y =1/2 +5 so b would be your answer

-4v - 5 = -53 help me please

Answers

Answer:

v=12

Step-by-step explanation:

  Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -4*v-5-(-53)=0

Pull out like factors :

  -4v + 48  =   -4 • (v - 12)

 Solve :    -4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

 Solve  :    v-12 = 0  

Add  12  to both sides of the equation :  

                     v = 12

To check yourself:

-4(12)-5 = -53

Answer: v = 12

Step-by-step explanation:

-4v - 5 = -53

add 5 to both sides

-4v = -48

divide both sides by -4

v=12

Help please!! I will mark brainilist and give a lot of points.




This is Pythagorean theorem.



Formula: a^2+b^2=c^2



When I say ^2 I mean to the power of 2.



The question is asking me to solve for a.



Then give me b and c which is b = 17 1/3 and c = 16.



How do I solve for a when b is greater than c? Won’t that give me a negative a? You can’t have a negative a right?



Unless I’m wrong.




Please help my solve this!!!!! :D

Answers

Answer:

what the first guy said

Step-by-step explanation:

keep adding by 2 and end up with 22

Hello there,

I just looked into the question and you are absolutely right whatever you inferred.I think the question might be wrong.The value of c should be greater than b.I guess it will like this:[tex]b = 16 \: \: \: c = 17 \frac{1}{3} [/tex]The values should be like this.I am solving the equation by this:[tex] {a}^{2} = {c}^{2} - {b}^{2} \\ = > {a}^{2} = {(17 \frac{1}{3}) }^{2} - {(16)}^{2} \\ = > {a}^{2} = {( \frac{52}{3} )}^{2} - {(16)}^{2} \\ = > {a}^{2} = ( \frac{52}{3} - 16)( \frac{52}{3} + 16) \\ = > {a}^{2} = ( \frac{52 - 48}{3} )( \frac{52 + 48}{3} ) \\ = > {a}^{2} = \frac{4}{3} \times \frac{100}{3} \\ = > {a}^{2} = \frac{400}{9} \\ = > a = \sqrt{ \frac{400}{9} } \\ = > a = \frac{20}{3} \\ = > a = 6 \frac{2}{3} [/tex]So, the value of a is [tex]a = 6 \frac{2}{3} [/tex]

Hope you could get an idea from it.

Doubt clarification - use comment section.

tisha and her academic team are working

Answers

Answer:b equals T minus a minus c minus d all over 3 ⇒ 3rd answer

Step-by-step explanation:

- Tisha and her academic team have had three local matches

# Assume that the points of the local matches are a , c , d

- They will attend a district match

- District match points count for three times the number of points

 than local matches do

# Assume that the points of the district match is b

- T is the total points they will earned in the four matches

∵ The points in the local matches are a , c , d

∵ The point in district mach is 3b

∴ T = a + c + d + 3b

* Lets find b in terms of a , c , d , T

∵ T = a + c + d + 3b

- Subtract a from both sides

∴ T - a = c + d + 3b

- Subtract c from both sides

∴ T - a - c = d + 3b

- Subtract d from both sides

∴ T - a - c - d = 3b

- Divide both sides by 3

∴  

∴ b equals T minus a minus c minus d all over 3

Simplify the algebraic
expression
4(x + 1) + 7(x + 3).
a. 11x + 4
b. 2x + 215
C. 11x + 25
d. 5x + 11
Someone help pleaseeee

Answers

Answer:

C.

Step-by-step explanation:

4(x + 1) + 7(x + 3)= 4*x+4*1 + 7*x+7*3 = 4x+4 +7x +21 = 11x + 25

C

Step-by-step explanation:

4x+4+7x+21

11x+25

you have to combine like terms

The graph below represents the function f(x) and the translated function g(x) .

If f(x) = x ^ 2 , which of the following functions could be an algebraic representation of g(x) ?



Answers

Answer:  D.  [tex]g(x) = (x-b)^2[/tex]

Explanation:

If we want to shift the curve some distance b to the right, then we'll need to replace x with x-b. What this effectively does is shift the xy axis itself b units to the left while the curve is fixed in place. This gives the illusion of the curve moving b units to the right.

Put another way: the old input x is updated to the new input x-b which is smaller by b units. This helps explain why the xy axis is shifted to the left this amount.

So that's how we go from [tex]f(x) = x^2[/tex] to [tex]g(x) = (x-b)^2[/tex]. You can think of it as [tex]g(x) = f(x-b) = (x-b)^2[/tex]

For each value of U determine whether it is a solution to 35>24+u

Answers

Just plug in the value
35 > 24 + u
If u = 10. 35 > 24 + 10, true
If u = 6. 35 > 24 + 6, true
If u = 14. 35 > 24 + 14, false
If u = 11. 35 > 24 + 11, false

An oil company estimates that only 1 well in 20 will yield commercial quantities of oil. Assume that successful drilled wells represent independent events. If 5 wells are drilled, find the probability of obtaining a commercially successful well for the following number of times. (Round your answer to six decimal places.) exactly 1

Answers

An oil drilling company ventures into various lo- cations, and its success or failure is independent from one location to another. Suppose the probability of a success at any specific location is

no link no bot right answer

Answers

the answer is 4 inches

Find the geometric mean between 18 and 7. Write your answer in radical form.



• 3 square root of 14


• 126



• 9 square root of 7



• 128

Answers

Answer: Choice A

Work Shown:

[tex]m = \text{geometric mean of x and y}\\\\m = \sqrt{x*y}\\\\m = \sqrt{18*7}\\\\m = \sqrt{9*2*7}\\\\m = \sqrt{9}*\sqrt{2*7}\\\\m = 3\sqrt{14}\\\\[/tex]

How many litres of water can the cylinder hold??​

Answers

Answer:

1.386 litres of water can the cylinder hold.

Step-by-step explanation:

For a given Cylinder

Given:

radius (r) = 7 cm

height (h) = 9 cm

π = 22/7

Now,

Volume of the Cylinder

V = πr²h

V = 22/7 × 7 × 7 × 9 cm

V = 22 × 7 × 9 cm

V = 2 × 11 × 63 cm

V = 2 × 693 cm

V = 1386 cm³

Now, Divide 1386 by 1000

1386/1000 = 1.386 litre water

Thus, 1.386 litres of water can the cylinder hold.

-TheUnknownScientist 72

Forty minutes of hot yoga and 10 minutes of jumping jacks burns 510 calories. Thirty minutes at hot yoga and 20 minutes of jumping jacks burns 470 calories. How many calories are burned per minute of yoga? How many calories are burned per minute of jumping jacks

Answers

Answer:

Step-by-step explanation:

ur answer I have the link


My dinner at San Felipe cost $8.20 before tax and $9.96 after tax. What was the sales tax rate?
*Round to the nearest whole percent.
Show Your WorK

Answers

Answer:

Sale tax rate = 21.46%

Step-by-step explanation:

Sale Tax % = ( Amount after sale tax - Original  cost) ÷ original × 100

Sale Tax % = ( $9.96 - $8.20) ÷ $8.20 × 100

Sale Tax % = $1.76 ÷ $8.20 × 100

Sale Tax % = .2146341463 × 100

 Sale Tax % = 21.46

A punch recipe calls for 1 1/2 quarts of sparking water and 3/4 of a quart of grape juice.
How much grape juice would you need to mix with 3 3/4 quarts of sparkling water?

Answers

Answer:

15/8 quarts is needed.

Step-by-step explanation:

Hoped this helped.

An office manager has 10,000$ to spend on new equipment

Answers

300 divided by 72 equals (300 divided by 7) + (300 divided by 2) = 2,100 + 600 = 2,700

If you roll a die twice , what is the probability that sum of the two die 8 will appear

Answers

Answer:

5/36

Step-by-step explanation:

Answer:

the probability of getting a total greater than 8 is  10/36=5/18

Step-by-step explanation:

Of the 36 different possible results of rolling a die twice, 10 of them have a total greater than 8.

Therefore, the probability of getting a total greater than 8 is  10/36 which equals 5/18

What are 5 rules to follow in a science lab?

Answers

Answer:

Step-by-step explanation:

1. Wear safety glasses

2. Be accompanied by an adult

3. Wear proper lab clothing

4. Alert Lab instructor if an accident were to happen

5. Follow all instructions given by lab instructor

describe the domain and range of function D

pls help <3

Answers

Answer:

Domain- [0,7], Range- [0,20]

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPP

Answers

Answer:

student a because the line has a negative slope not a positive slope

Step-by-step explanation:

SectionA
find A and B?
B=
6 9-5
A:
- 10 -4 -8
4 16 6
7
8 4
1 2 -9
19 5 6
9 6

Answers

Answer:

B=24

A= I don't know what that means

Step-by-step explanation:

2.(04.05)
Kelsey painted 1/4
of her bedroom in 3/7
of an hour. At this rate, how long would it take her to paint the entire room?
A.3/28 of a hour
B.28/3 of an hour
C.12/7 of an hour
D.7/17 of an hour

Answers

Answer:

1/4 in 3/7th of an hour

1/4 = 3/7

multiply by 4

1 (whole room) = 12/7 (of an hour)

Answer:

12/7 of an hour

Step-by-step explanation:

I couldnt do the asnwer earlier but here it is the person above gave the answer worked out

I REALLY NEED HELP CAN SOMEBODY PLZZZ HELP MEEEE

Answers

The mystery divisor is 18. I figured it out by dividing 4050 by 225.

Which of these expressions are equivalent and how?​

Answers

Answer:

d. -4 -8 —> -4 + (-8)

Step-by-step explanation:

[tex] - 4 + ( - 8) \\ - 4 - 8[/tex]

[tex] - 4 - ( - 8) = - 4 + 8 \\ - 4 + ( - 8) = - 4 - 8[/tex]

I hope I helped you^_^

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