The population of a bacterium doubles every hour. At 9 am, the population is 12 bacteria. The function P (t) = 12.2 models the bacteria population t hours after 9 am What is the value of P (5) and what does it
represent in context?
A) The population is 120 bacteria at 2 pm
B)The population is 120 bacteria at 5 pm
C) The population is 384 bacteria at 2 pm
D) The population is 384 bacteria at 5p.m.

Answers

Answer 1

Answer: B

Step-by-step explanation:

The correct answer is B

Answer 2

The population of the bacteria at the value of P (5) is 384, and it represents that the time is 5 pm

What is an exponential function?

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

The exponential function with dependent variable y and independent variable x can be written as,

[tex]y=a^x[/tex]

Here, a is the variable in the power of a number.

The population of a bacterium doubles every hour. At 9 am, the population is 12 bacteria.

The function models the bacteria population t hours after 9 am  is,

[tex]P (t) = 12\times2^t[/tex]

Put the value of t as 5 at P (5) in the above exponential function as,

[tex]P (5) = 12\times2^5\\P(5)=12\times32\\P(5)=384[/tex]

Hence, the population of the bacteria at the value of P (5) is 384, and it represents that the time is 5 pm.

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Related Questions

Which is an equivalent expression for 6(2y+4)+5y?

please help

Answers

Answer:

17y+24

Step-by-step explanation:

simplify so the first step would be to multiply whats in the parentheses by the number outside in this case its 6 youd get:

12y+24+5y

then you simplify farther by adding like terms

17y+24

A cosine function has a period of 5π6, an amplitude of 6, and a vertical translation 5 units down. The function is not reflected over the x-axis.


What is the equation for this cosine function?

Answers

Answer:

The equation is "[tex]y=6 \ Cos(\frac{12}{5}x)-5[/tex]". A further explanation is described below.

Step-by-step explanation:

The given values are:

Period,

B = [tex]\frac{5 \pi}{6}[/tex]

  = [tex]\frac{12}{5}[/tex]

Amplitude,

A = 6

Vertical translation down,

D = -5

As we know,

The equation of cosine function will be:

⇒  [tex]y=A \ Cos(Bx)+D[/tex]

On substituting the values in the above equation, we get

⇒  [tex]y=6 \ Cos(\frac{12}{5}x)+(-5)[/tex]

⇒  [tex]y=6 \ Cos(\frac{12}{5}x )-5[/tex]

Answer:

Step-by-step explanation:

A dilation produces a smaller figure. Which is a possible scale factor?

Answers

Answer:

:the picture dosent load bro

Step-by-step explanation:

I can't see pictures, but any number under 1 shrinks and image.

Edit: I saw your comment. It's B, because it is the only one below 1

---

sorry if this doesn't help

could you help please i will give points but please explain

Answers

Answer: 7/12

Step-by-step explanation: Given that,

(5/6) - (1/4) = ?

The difference Will be, take L.C.M. of 6 and 4 which is 12, then we get,

 = ( 10 - 3 ) / 12

= 7 /12

Jasmine bought a pennant (triangle) of the favorite baseball team. If the base is 16 inches and height is 24 inches, how much area will it cover on her wall? (HOW DID YOU GET YOUR ANSWER, PLEASE SHOW ME YOUR WORK!!)
A. 600
B. 111
C. 598
D. 192
E. 9854.05
F. 9843.75
G. 55
H. 1

Answers

D. 192in^2

This would be a simple area problem with a triangle. REMEMBER THIS EQUATION: a=bh*1/2 (b for base and h for height, these are multiplied together then that answer is halved out.)

So we just need to plug in our values into the equation, so the equation would look like a= (16)*(24)*1/2. 16 times 24 would then give you 384, you could either divide by 2 or multiply by 0.5 to get the next answer, as long as your HALVING the answer.

So we have our bh value so now we can multiply by 1/2 which will give us 384*1/2 which leaves us with 192.

I have also attached a photo of doing a longer(ish) way than this, that also proves that this equation works. Either one will provide you an answer.

Please help. This is due soon. Ty 

Answers

Answer:

3 dollars and 9 cents.

Step-by-step explanation:

From the question given above, the following data were obtained:

Total amount = 20 dollars

Amount for gift A = 9 7/10 dollars

Amount for gift B = 6 2/5 dollars

Amount for gift C =?

The amount of money she has left for gift C can be obtained as follow:

A + B + C = 20

9 7/10 + 6 2/5 + C = 20

Change to improper fraction

97/10 + 32/5 + C = 20

(97 + 64)/10 + C = 20

161/10 + C = 20

Collect like terms

C = 20 – 161/10

C = (200 – 161)/10

C = 39/10

Change to mixed fraction

C = 3 9/10 dollars

C = 3.9

C = 3 dollars and 9 cents

Therefore, Kathy had 3 dollars and 9 cent for gift C

________________________________

Answers

Answer:

The Red block is the answer

Step-by-step explanation:

A pipeline is placed diagonally across a rectangular field that is 25yd wide and 30yd long. How long is the pipeline, to the nearest yard?

Answers

Answer:

the pipe is 39.1 yards long.

Step-by-step explanation:

you would use pythagorean theorem (a²+b²=c²). plug the 25 in to the a² and plug the 30 in to the b² and figure out c² (it would look something like this 25²+30²=c²). to do that you need to square the 25² and the 30². the 25² would turn out to be 625 and the 30² would be 900 you would add them and get 1525. then you would squareroot 1525(

[tex] \sqrt{1525} [/tex]

) and get 39.05 and round it up and get 39.1 yards. dont forget to put the mesurements down

A normal six-sided die is thrown once. The number of outcomes in the sample space is

Answers

I think it would be 6 or 1/6

The number of outcomes in the sample space is 6.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

When you roll a 6 sided dice, number of dots on uppermost face is called as outcome. Now, whenever a dice is rolled we can get either 1, 2,3,4,5 or 6 dots on the upper most face that is now outcome.

So experiment here is "Rolling a 6 faced dice" and list of possible outcomes is "{1,2,3,4,5,6}".

Sample space by its definition is list of all the possible outcomes of an experiment.

S={1,2,3,4,5,6}

Hence, the number of outcomes in the sample space is 6.

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Consider the expression

Answers

PHOTOMATHH !!!!!! Take a screenshot of it it’s quick

What rule describes the translation?
Write tule as an ordered pair

Answers

For A (x+6), (y-2)
For B (x+6), (y-2)
For C (x+2), (y+2)
Good luck

26) True/False (1 point): Vertical angles, corresponding angles, and supplementary angles are all congruent angle pairs.

Answers

Answer:

I say the answer will be true

Answer:

true

Step-by-step explanation:

Can anyone help, I got really confused doing this problem, and I can’t find the answer for it.

Answers

Answer: The area is 45 square feet

Step-by-step explanation: Use the formula (base*height)/2. Base in this case is 15, while height is 6. (15*6)/(2) It should equal 45 square feet.

Answer:

45^ft

Step-by-step explanation:

1/2 B ×H

1/2(6)×15=45^ft

3t−18=4(−3−
4
3

t)

Answers

Answer: 0.034

Step-by-step explanation:3t-18=4(-3-43t)

3t-18=-12-172t

3t+172t=-12+18

175t/175=6/175

t=0.034

What is the radius of a circle whose equation is (x – 7)2 + (-10)2 = 4?
2 units
4 units
8 units
16 units

Answers

Answer:

Its A) 2 units

Step-by-step explanation:

Identify the response variable and whether the setting involves a single sample, a matched pairs, or two independent samples.

a. A chemist obtains a reference specimen of known concentration from the National Institute of Standards and Technology. She then makes 20 measurements of the concentration of this specimen with the new method and checks for bias by comparing the mean result with the known concentration.
b. Choose 40 romantically attached couples in their midtwenties. Interview the man and woman separately about a romantic attachment they had at age 15 or 16. Compare the attitudes of men and women.
c. Another chemist is checking the same new method. He has no reference specimen, but a familiar analytic method is available. He wants to know if the new and old methods agree. He takes a specimen of unknown concentration and measures the concentration 10 times with the new method and 10 times with the old method.

Answers

Answer:

1. single sample design

2. matched pairs

3. two independent samples.

Step-by-step explanation:

the response variable is known as the dependent variable, it is the variable that the researcher is interested i finding. the response variable is the x variable that responds to changes in the independent variable.

1.

In this question the researcher has only one sample that is the specimen. that is the reference specimen that she obtained. Therefore it is a single sample design.

the response variable here is the measurement of concentration.

2. In this question we have two pairs, men and women. The researcher is interested in comparing attitudes as she interviews them. so response variable is attitude or behavior

3. this is a 2 independent sample design. The researcher is using two different methods to test and their average is being compared.

2. A net of a triangular prism is shown. The bases are isosceles triangles.
5 in
2.5 in
3 in.
What is the surface area of the prism?

Answers

Answer:

look at this dudeee

Surface area of the prism given is 46 inches².

What is Surface Area?

The area of a three dimensional object on it's outer surface is called the surface area of the object

Given net of a prism.

The given net consists of three rectangles and two triangles.

Find the area of each of the two dimensional figures.

Given, the bases are isosceles triangles.

So the two rectangles are of dimensions 5 inch × 2.5 inch and third rectangle is of the dimensions 5 inch × 3 inch.

Total area of the rectangles = (5 × 2.5) + (5 × 2.5) + (5 × 3)

                                              = 40 inches²

Area of two triangles = 2 × [tex]\frac{1}{2 }[/tex] × 3 × 2

                                   = 6 inches²

Surface area of the prism = 40 inches² + 6 inches² = 46 inches²

Hence the required area is 46 inches².

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Members of a baseball team raised $1479.25 to go to a tournament. They rented a bus

for $800.50 and budgeted $45.25 per player for meals. Write and solve an equation

which can be used to determine p, the number of players the team can bring to the

tournament.

PLEASE HELP FAST ITS FOR A TEST

Answers

Answer:

The equation is: [tex]800.5 + 45.25p \leq 1479.25[/tex]

The team can bring at most 15 players to the tournament.

Step-by-step explanation:

They rented a bus for $800.50 and budgeted $45.25 per player for meals.

This means that the cost for bringing p players is given by:

[tex]C(p) = 800.5 + 45.25p[/tex]

Members of a baseball team raised $1479.25 to go to a tournament.

This means that:

[tex]C(p) \leq 1479.25[/tex]

So

[tex]800.5 + 45.25p \leq 1479.25[/tex]

[tex]45.25p \leq 1479.25 - 800.5[/tex]

[tex]p \leq \frac{1479.25 - 800.5}{45.25}[/tex]

[tex]p \leq 15[/tex]

The team can bring at most 15 players to the tournament.

There are 64 pretzels in a 16-ounce bag of chocolate-covered pretzels.

How many chocolate covered pretzels are there per ounce?

Answers

Answer:

64 pretzels in a 16 oz bag

1 oz will contain 64/16 pretzels = 4

5 oz will therefore contain 4 x 5 = 20 pretzels

Step-by-step explanation:

See here for a deeper explanation! ^^

Hopefully it helps :)

https://brainly.com/question/200543

You have to divide 64 by 16. That gives the answer 4. So there are 4 ps per oz.

Mr. Green drove 100 miles in 2 hours. He continues to drive at this same speed,

If he does not stop, how long will it take Mr. Green to drive 400 more miles?


A.5 hours

B.4 hours

C.8 hours

D.9 hours

Answers

Answer is 400 * 2 = 8 hours

Select all expressions that are equal

Answers

Answer:

A and D. C and E

Step-by-step explanation:

A and D = -6

C and E=-14

Answer:

B and E. Both equal -14 which equals 8-12-(6+4)    :)

if cot theta = -2, find the value of cot theta + cot (theta -pi) + cot (theta-2pi)

Answers

Given:

[tex]\cot \theta = -2[/tex]

To find:

The value of [tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)[/tex].

Solution:

We know that,

[tex]\cot (\theta -n\pi)=\cot \theta[/tex]         ...(i)

Where n is an integer.

We have,

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)[/tex]

Using (i), it can be written as

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=\cot \theta +\cot \theta +\cot \theta [/tex]

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=3\cot \theta[/tex]

It is given that [tex]\cot \theta = -2[/tex].

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=3(-2)[/tex]

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=-6[/tex]

Therefore, the value of the given function expression is [tex]-6[/tex].

Can y’all help me on question 29?!

Answers

Answer:

Step-by-step explanation:

The length of a rectangle is 10 cm, which is 1/3 of it's perimeter. Evaluate its perimeter​

Answers

Answer:

Perimeter = 30 cm

Step-by-step explanation:

10 cm x 3 = 30 cm

the required perimeter of the given rectangle is 30 cm.

What is the perimeter?

Perimeter is the measure of the figure on its circumference.

What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

Here,
The length of a rectangle is 10 cm, which is 1/3 of it's perimeter.
Length = 1/3 of perimeter
10 = 1/3 perimeter
perimeter = 3 × 10
perimeter = 30 cm

Thus, the required perimeter of the given rectangle is 30 cm.

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Very much need some help ASAP !!

Answers

Answer:

D

Step-by-step explanation:

It cannot be Option A because the values are halve and there is nothing to distribute to them to make the values equal.

It's not option C because if you distribute 2y to each term in the parenthesis

you get -4[tex]y^{5}[/tex]  + 6y³  + 4y².   But where is the 8y² and -2y?

While Option B is equivalent, you can factor it out more and find the common factor of -2 to distribute among them as shown in option D

It is option D because distributing the -2y to each term solves to

-4[tex]y^{5}[/tex]  + 6y³   +  8y²  -2y.

A farmer sells 9.8 kilograms of pears and apples at the farmer's market. 3/4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

Answers

Answer:

2.45 kg of apples

Step-by-step explanation:

The farmer starts with 9.8 kg of fruit, and 3/4 of that is pears meaning the remaining 1/4 is apples. 9.8kg * 1/4 = 2.45 kg of apples

Look first at problem then answer 2-6
NO SPAM and EMERGENCY PROBLEM

Answers

2) You need pi because of the circumference to calculate how long the perimeter is.
3) 113.1 = Area
4) You would need to adjust how many number places of pi you use for how huge the number you need to calculate for.
5) To write an exact number for an irrational expression you need to calculate then round to the nearest hundredths after you get the number for either radius, diameter, or area. To find the approximate value you only use the minimum numbers such as 3.14 instead of 3.14159...
6) How this helped me better estimate the value of an irrational expression is by using more numbers for every extra number place the circle has in the diameter.

Which figure can be formed from the net?

Answers

Answer:

its the figure on the top left, so A

brainliest pls! :D

Answer: the third one

Step-by-step explanation:

i took the quiz on k12

Elementary school A has implemented an after-school sports program and the principal would like to know if the participants of the sports program are becoming more active in general, compared to students who are not participating in the program. So the principal collected data on overall physical activities throughout the week from a group of the sports program participants and a group of school A students not in the program. The most appropriate statistical test for data analysis would be:_______.
A. Paired-samples t test
B. Independent-samples t test
C. Pearson's correlation
D. One-sample t test

Answers

Answer:

B. Independent-samples t test

Step-by-step explanation:

The test here is to find out if the participants of the sports program are becoming more active in general when compared to students who are not participating in the program.

Now, this will involve taking sample from the two independent groups to determine if there is statistical evidence that one is more active than the other.

Thus, the best test to use in this case will be the Independent-samples t test

Mr. Young is buying a house. He can spend no more

than 29% of his income on monthly house payments.

If he earns $4,200 per month, what is the largest

monthly house payment he can make?

Answers

Answer:

The largest monthly house payment he can make is $1,218.

Step-by-step explanation:

In this question:

He spend at most 29% of his income on monthly house payments.

His monthly income is of $4,200.

What is the largest monthly house payment he can make?

0.29*4200 = 1218

The largest monthly house payment he can make is $1,218.

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