(Need help ASAP) In a research experiment, the population of a colony of bacteria doubles every hour. The population, f(x), of the colony after x hours can be modeled by the function f(x)=25 ⋅ 2x. What values for the domain are reasonable in the given context?



1. all real numbers



2. all real numbers greater than 0



3. all real numbers greater than or equal to 0



4. all real numbers greater than or equal to 25

Answers

Answer 1

Answer:

Step-by-step explanation:

The answer is 3

Answer 2

The reasonable domain is all real numbers greater than or equal to 0.

What is domain?

The collection of all conceivable independent values that a function or relation may take is known as its domain.

Given:

In a research experiment,

the population of a colony of bacteria doubles every hour.

Here, we can use exponential growth function.

The population, f(x), of the colony after x hours can be modeled by the function f(x)=25 ⋅ 2ˣ.

The value of x can not be negative because it represents time.

The domain of the function is all achievable values.

So, the domain is  all real numbers greater than or equal to 0

Therefore, the domain is all real numbers greater than or equal to 0.

To learn more about the domain;

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Related Questions

(EASY MULTIPLE CHOICE I BEG YOU)

Answers

1) its number 2. 30x^7y^4

7) When Jake started going to the gym he could lift 25 lbs. One month later he could lift 45 lbs. What is the percent of change in the number of pounds he can lift?

Answers

Answer:

80% increase

Step-by-step explanation:

45 - 25 = 20

20/25 = 0.8

0.8 X 100 = 80

(HELP ASAP GEOMETRY) Find the length of the midsegment. The diagram is not to scale.

Answers

Answer:

D?

Step-by-step explanation:

PLEASE HELP ASAP
What is the volume of the figure

Answers

Answer:

264 cubic cm

Step-by-step explanation:

(8x5x5)+(8x8x1)

(200)+(64)

Volume = 264 cubic cm

How many real solutions are there to the equation x2 - 7x + 12 = 0?
о
оооо
но со

Answers

I was butt x2-7+12=0 what

Determined the perimeter and area of the following figure. Use 3.14 for pi

Answers

Step-by-step explanation:

first you will put a line in the missing part of the inside of the figure.Once you do you will see that there are two figures.

to find the diagonal of the half-circle : 7cm-2cm-1cm=4cm

Now use the area formulas for each figure.The area of the semicircle is pi×d/2.The area of the rectangle is a×b.

A of semicircle =3.14×4cm/2=6.28cm²

A of rectangle =7×3=21cm²

to find the perimeter of them:

P of semicircle = 3.14×4=12.56cm

P of rectangle =2(7+3)=14+6=20cm

A large school district held a district-wide track meet for all high school students. For the 2-mile run, the population of female students participating follows a Normal distribution and had a mean running time of 8.8 minutes with standard deviation of 3.3 minutes. The population of male students participating also follows a Normal distribution and had a mean running time of 7.3 minutes with standard deviation 2.9 minutes. Suppose 8 female students and 8 male students who participated in the 2-mile run are selected at random from each population. Let xF represent the sample mean running time for the female students, and let xM represent the sample mean running time for the male students. a. Find and interpret the mean and standard deviation of the sampling distribution of the difference in sample means xF − xM. b. Find the probability of getting a difference in sample means xF − xM that is less than 0.

Answers

Answer:

If the question has

What are the mean and standard deviation of the sampling distribution of the difference in sample means x¯F−x¯M ?

It is E

Step-by-step explanation:

AP classroom uses the example with different end questions.

The mean and standard deviation of the sampling distribution of the difference in sample means xF − xM is 1.5 minutes(mean) and 1.533 minutes(std. dev) approx The probability of getting a difference in sample means xF − xM that is less than 0 is 0.0239 approx.

What is the distribution of random variable which is sum of normal distributions?

Suppose that a random variable X is formed by n mutually independent and normally distributed random variables such that:

[tex]X_i = N(\mu_i , \sigma^2_i) ; \: i = 1,2, \cdots, n[/tex]

And if

[tex]X = X_1 + X_2 + \cdots + X_n[/tex]

Then, its distribution is given as:

[tex]X \sim N(\mu_1 + \mu_2 + \cdots + \mu_n, \: \: \sigma^2_1 + \sigma^2_2 + \cdots + \sigma^2_n)[/tex]

For this case, it is given that:

Distribution of time taken for distance ran by female is Normal distribution and had a mean running time of [tex]\mu_F[/tex] = 8.8 minutes with standard deviation of [tex]\sigma_F[/tex] = 3.3 minutes.Distribution of time taken for distance ran by male is Normal distribution and had a mean running time of [tex]\mu_M[/tex] = 7.3 minutes with standard deviation of [tex]\sigma_M[/tex] = 2.9 minutes.Samples of size n = 8 are taken from both population.

Estimated sample mean  = population mean

Estimated sample standard deviation = population std. dev / √n

where n = sample size

Thus, we get:

[tex]\overline{x}_F = \mu_F = 8.8 \: \rm minutes[/tex][tex]s_F = \sigma_F/\sqrt{8} = 3.3/\sqrt{8} \approx 1.167 \: \rm minutes[/tex][tex]\overline{x}_M = \mu_M = 7.3 \: \rm minutes[/tex][tex]s_M = \sigma_M/\sqrt{8} = 2.9/\sqrt{8} \approx 1.053\: \rm minutes[/tex]

For sample of females, the distribution is [tex]X_F \sim N(\overline{x}_F = 8.8, s_F = 3.3/\sqrt{8})[/tex]
For sample of males, the distribution is [tex]X_M \sim N(\overline{x}_M =7.3, s_M = 2.9/\sqrt{8})[/tex]

Also, if we take distribution of difference between sample means([tex]X_F - X_M = X_F + (-X_M)[/tex], then it would be normal with mean = 8.8-7.3 = 1.5 minutes (as mean for [tex]-X_F[/tex] will be -7.3 but same standard deviation) as factor gets squared for affecting standard deviation and variance)

and standard deviation is: [tex]s = \sqrt{s_F^2 + s_M^2} = \sqrt{3.3^2/8 + 2.9^2/8} \approx 1.553 \: \rm minutes[/tex]

The distribution of difference between sample means is [tex]X_F - X_M \sim N(\overline{x} = 1.5, s = 1.533)[/tex] approximately

We need [tex]P(X_F - X_M < 0)[/tex]

Converting this distribution to standard normal distribution, we get:

[tex]P(X_F - X_M < 0) = P(Z < \dfrac{0 - \overline{x}}{s} \approx -1.98)[/tex]

From the z-tables, we get the p value for Z = -1.98 as 0.0239

Thus, we get:

[tex]P(X_F - X_M < 0) = P(Z < \dfrac{0 - \overline{x}}{s} \approx -1.98) \approx 0.0239[/tex]

Thus, the mean and standard deviation of the sampling distribution of the difference in sample means xF − xM is 1.5 minutes(mean) and 1.533 minutes(std. dev) approx The probability of getting a difference in sample means xF − xM that is less than 0 is 0.0239 approx.

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PLZ HELP
could you plz answer question 2

1. A rabbit started at point 0 and made 3 jumps: a jump of 4 units, then a jump of 2 units, and then a jump of 1 unit. We do not know the direction of either jump. Where on the number line can this rabbit be now?

2. Next time, the rabbit from the previous problem started at 10. Where on the number line can he be after the same three jumps?

Answers

Answer:

17

Step-by-step explanation:

10+4=14

14+2=16

16+1=17

I hope this helps you

Answer:

17 units

Step-by-step explanation:

Use place value blocks 60rows of cornstalks type Agrows better so there are8 cornstalks in each row type B does not grow as well so they are only 3 cornstalks in each row

Answers

Answer:

Each field has cornstalks = 660

Step-by-step explanation:

P.S - The exact question is -

As given,

There are 2 types of corn - Type A and Type B

Each field has 60 rows

In each row -

Type A corn grow = 8

Type B corn grow = 3

⇒Total corn grow in each row = 8 + 3 = 11

Now,

1 row = 11 cornstalks

⇒60 rows = 60×11 cornstalks = 660 cornstalks

∴ we get

Each field has cornstalks = 660

how many centimeters is the growth rate of the plant per week? Please i really need this. PICTURE WHEN YOU CLICK

Answers

Answer:

4 and 3/4 YOU GOT THIS!!

Step-by-step explanation:

Answer:

I believe the answer would be 1/2 a centimeter per week, hope this helps

Find the geometric mean of the numbers. If necessary, give the answer in simplest radical form.

25 and 29

The geometric mean is .

Answers

26.93
Or
5square root 29

whats 100*100??? please help

Answers

Answer: 100*100=10,000

thanks for the points :))

Ciara is constructing a tangent line from a point outside the circle as shown. image Which of the following BEST describes the actions that should be in Step 2? A. Construct another circle centered about point B. B. Place point C on the circle and construct a line connecting points B and C. C. Construct the perpendicular bisector of line AB. D. Place point C on the circle and construct the angle bisector of ABC.

Answers

Answer:A

Step-by-step explanation:

Find the length of WV

Answers

Answer:

I believe the answer would be 20.

Step-by-step explanation:

28/7 = 4

5*4 = 20

Pls mark brainliest <3

0Answer: The answer is 20

Step-by-step explanation:

HELPPPP!!!!!



A rare baseball card just sold for $12,000. Sports experts anticipate this baseball card to increase in value by 9%
each decade.

According to the experts, about how much should the baseball card be worth in 30 years?

Answers

15546.0 should be the answer

The baseball card be worth in 30 years is: $159212.14

We have the following information available from the question is:

A rare baseball card just sold for $12,000

This baseball card to increase in value by 9%

each decade.

The principal = $12,000

Rate of interest (r) =9%

Time period (t) = 30 years

The number of times per year the interest is compounded (n) = 1

We know the formula is:

[tex]=P(1+\frac{r}{n} )^n^t[/tex]

Plug all the values, we get:

[tex]=12000(1+\frac{\frac{9}{100} }{1} )^3^0[/tex]

Then, Evaluate the equation/expression:

=> $159212.14

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Suppose that 2000 is invented at a rate of 3.5%, compounded semiannually. Assuming that no withdrawals are made, find the total amount after 4 years. Do not round any interminate computations, And round your answer to the nearest cent.

Answers

Answer:

$2,297.76

Step-by-step explanation:

Present value: P = 2000

Future value: F

Annual interest rate: r = 3.5% = 0.035

Time: t = 4 years

Number of compounding periods per year: n = 2

[tex] F = P(1 + \dfrac{r}{n})^{nt} [/tex]

[tex] F = 2000(1 + \dfrac{0.035}{2})^{2 \times 4} [/tex]

[tex] F = 2000(1 + 0.0175)^{8} [/tex]

[tex] F = 2000(1.0175)^{8} [/tex]

[tex] F = 2000(1.148881783) [/tex]

[tex] F = 2297.76 [/tex]

Answer: $2,297.76

Simplify

7x^0 y^-2 (2y^4)

A. 14xy^2
B. 9y^2
C. 14/y^2
D. 14y^2​

Answers

Answer:

the answer is d

Step-by-step explanation:

7*y^-2*2y^4

D. 14y^2

Step-by-step explanation:

please mark brainliest :)

In a lilac paint mixture, 40$ of the mixture is white paint, 205 is blue, and the rest is red. There are 4 cups of blue paint used in a batch of lilac paint. If you get stuck, consider using a tape diagram.

Answers

Answer:

White paint is 8

Blue paint is 4

Red paint is 12

The recipe will yield 24 cups of lilac paint if you are talking about the problem i had earlier on my math homework

1. What is the domain of the function graphed on the grid? ​

Answers

Answer:

[-2,4]

Step-by-step explanation:

The domain is just asking for all the possible x values

we can see that the lowest x value is -2 and the highest is 4 which means our answer is

[-2,4]

Answer:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the

x

-axis. The range is the set of possible output values, which are shown on the

y

-axis. Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values.

We can observe that the graph extends horizontally from −5 to the right without bound, so the domain is [−5,∞). The vertical extent of the graph is all range values 5 and below, so the range is (−∞,5]. Note that the domain and range are always written from smaller to larger values, or from left to right for domain, and from the bottom of the graph to the top of the graph for range.

determine an equation of a line in standard form that is perpendicular lo the line 2y = -x + 3 and passes through the point (4, 5).​

Answers

first, i put the equation in y=mx+b by dividing 2, since its 2y. since it’s perpendicular we’re talking about you switch the sides (opposite reciprocals). the rest should be self explanatory.

Emanuel biked 6 3/4 miles, and Layla biked 4 1/2 miles.
How many times the length of
Layla's bike ride was Emanuel's bike ride?

Answers

Answer:

1 1/2 times more

Step-by-step explanation:

6.75 ÷ 4.5 = 1.5

Please solve for x. Then, circle whether each angle pair is complementary or supplementary.

Answers

Answer:

This is complematry and x=7

Step-by-step explanation:its complematry because they both add up to make 90 degree angle right angle

8+5=13

90-13=77

3x+8x=11x

77 divided by 11x =7x

make sure to like and mark me the brainlest

10x + 38
40 + 7x
determine the value of x

Answers

Answer:

x= 2/3

Step-by-step explanation:

if they are equating,

10x +38 = 40+7x

10x-7x = 40-38

3x = 2

x= 2/3

Answer:

x = 0.6666666667

Step-by-step explanation:

Simplifying

10x + 38 = 40 + 7x

Reorder the terms:

38 + 10x = 40 + 7x

Solving

38 + 10x = 40 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

38 + 10x + -7x = 40 + 7x + -7x

Combine like terms: 10x + -7x = 3x

38 + 3x = 40 + 7x + -7x

Combine like terms: 7x + -7x = 0

38 + 3x = 40 + 0

38 + 3x = 40

Add '-38' to each side of the equation.

38 + -38 + 3x = 40 + -38

Combine like terms: 38 + -38 = 0

0 + 3x = 40 + -38

3x = 40 + -38

Combine like terms: 40 + -38 = 2

3x = 2

Divide each side by '3'.

x = 0.6666666667

Simplifying

x = 0.6666666667

HURRYYYYY

When substituting 2x - 4 for y in the
second equation, what will the new
equation look like?

y = mx + b
y = 2x - 4
y = -3x + 1
2x - 4 = -3x + 1

Answers

Answer:

y=2x-4

Step-by-step explanation:

sorry if I get this wrong I'm slowly understanding slope intercept form

akayla buys some tools at the local hardware store. Her total is $50 but she has a 15% off coupon. How much did she save with her coupon? Enter your answer to the nearest cent.

Answers

Answer:

$7.50

Step-by-step explanation:

$50 x .15 = $7.50

$7.50 estimated to nearest cent is $7.50

In her first 20 games, Jennie served 4 aces. If she continues to serve aces at this rate, how many aces will she have after 160 games?

Answers

Answer:

32 aces

Step-by-step explanation:

4/20= x/160

once you set up this proportion you can cross multiple to get:

20x= 640

then just solve for x:

x= 32

please help with geometry! #9!!

Answers

Answer:

           6, 7, 8 are correct

          9.  2) TU = 58

Step-by-step explanation:

[tex]XV=\dfrac{RS+TU}2\\\\\\44=\dfrac{30+TU}2\\\\44\cdot2=30+TU\\\\88-30=TU\\\\TU=58[/tex]

Given z1 = 9+9 (square root) 3i and z2 = 2+ (square root) 3i, what is z2-z1?
a) 8+7 (square root) 3i
b) -7-8 (square root) 3i
c) 7+10 (square root) 3i
d) -7+10 (square root) 3i

Answers

Answer:

B

Step-by-step explanation:

Answer:

Answer is B

Step-by-step explanation:

took the test edg2021

HI SOMEONE PLEASE HELP I HAVE NO IDEA HOW TO DO THIS :(( i need to know the measure of angles 13 and 12 then the measure of the line segment SG. Thank you sm in advance​

Answers

Answer:

Angle 13 equal 90 and Angle 12 equal 45

Step-by-step explanation:

This is a square so all of the corner angles and the diagonals angles measure 90 degrees. A square also forms 4 congruent isoceles triangles or technically 45-45-90 triangles. So that means the following angles measure 45 degrees since they share a point

Angle 5,6,7,8,9,10,11,12. So the measure of 12 is 90 degrees.

To find the measure of 13, in a square diagonals bisect each other and form perpendicular lines so that means every angle in the middle of the square measure 90 degrees.

Using that

Angle 13,15,16 and R measure 90 degrees so Angle 13 equal 90.

The inverse, f'(x), of f(x) =
X + 5
Х
can be written as
5
x-1
a) Find f(2)
b) Find f'(2)

Answers

Step-by-step explanation:

Given

[tex]f(x) = \frac{x + 5}{x} [/tex]

So

[tex]f(2) = \frac{2 + 5}{2} \\ = \frac{7}{2} [/tex]

Now

[tex] {f}^{ - 1} (x) = \frac{5}{x - 1} [/tex]

So

[tex] {f}^{ - 1} (2) = \frac{5}{2 - 1} \\ = \frac{5}{ 1} \\ = 5[/tex]

Hope it will help :)❤

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