(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;

https://brainly.com/question/28135761

#SPJ6


Related Questions

Please help me! STU is an equilateral triangle. If ST is one less than twice x, SU is 37 less than five times x, and TU is 11 more than x, find x and the measure of each side.

Answers

Answer:

x = 12

ST = 23 units

SU = 23 units

TU = 23 units

Step-by-step explanation:

For an equilateral triangle, all the angles are equal. Also, all the sides are equal.

Hence given that the sides ST is one less than twice x, SU is 37 less than five times x, and TU is 11 more than x

ST = 2x - 1

SU = 5x - 37

TU = x + 11

Since ST = SU = TU

2x - 1 = 5x - 37

collect like terms

37 - 1 = 5x - 2x

36 = 3x

Divide both  3

36/3 = x

x = 12

Therefore

ST = 2x - 1 = 2(12) - 1 = 23 units

SU = 5x - 37 = 5(12) - 37 = 23 units

TU = x + 11 = 12 + 11 = 23 units

Write a ratio, in the simplest form and a percent for the shaded area (there's a 5x4 box and 6 cubes are shaded)

Answers

Answer:

[tex]\%Percent = 30 \%[/tex]

Step-by-step explanation:

Given

[tex]Shaded = 6\ cubes[/tex]

[tex]Box = 5\ x\ 4[/tex]

Required

Determine the percentage of the shaded cubes

First, we calculate the number of boxes:

[tex]Box = 5\ x\ 4[/tex]

Express as multiplication

[tex]Box = 5\ *\ 4[/tex]

[tex]Box = 20[/tex]

This implies that there are 20 cubes in the box.

The percentage of the shaded cubes is:

[tex]\%Percent = \frac{Shaded}{Box} * 100\%[/tex]

[tex]\%Percent = \frac{6}{20} * 100\%[/tex]

[tex]\%Percent = \frac{6* 100}{20} \%[/tex]

[tex]\%Percent = \frac{600}{20} \%[/tex]

[tex]\%Percent = 30 \%[/tex]

30% were shaded

Pls help me! I will mark brainliest if you are correct

Answers

Answer:

I' would say A but C could be a possibility.

Step-by-step explanation:

Answer: it would be c!

Step-by-step explanation:

The rest of the answers r involving with the game, i they let them, they’ll choose themselves! Brainliest pls- if u want too. i explained, and hopes this helps

Catherine bought apples and pears for a school picnic. The total number of pieces of fruit that she bought was less than 100. She bought more apples than pears.​

Answers

Answer:

it says LESS THAN not less tha n or equal to  so it cant be a or b or d, so it is c!

Step-by-step explanation:

Catherine bought apples and pears for the school picnic. If the total fruit is less than 100, then the correct equation for this will be y<100-x and y<x. Hence, option C is correct.

What is an equation?

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given data in the equation,

Catherine bought apple and pears.

The overall quantity is less than 100

Let the number of apples is x and,

The number of pears is y.

She bought more apples than pears,

y<x.

And y < 100-x.

To know more about an equation:

https://brainly.com/question/10413253

#SPJ2

Ines has saved $5. She doubles the amount she saves each week. Does the function have a constant difference or a constant ratio? Does this represent an exponential function?

Answers

Answer:

The function have a constant ratio

No, it does not represent an exponential function.

Step-by-step explanation:

As given,

Ines has saved $5. She doubles the amount she saves each week.

⇒ In first week she saved = $5

   In second week she saved = 2×$5 = $10

   In third week she saved = 2×$10 = 20

  In fourth week she saved = 2×$20 = 40

and so on..

∴ we get the series

5, 10, 20, 40 ,.......

If the series is given as a, b, c, d, ..... , then

The common difference is defined as d = b-a = c-b

The common ration is defined as r = [tex]\frac{b}{a} = \frac{c}{b}[/tex]

Here, in the given question

The series is - 5, 10, 20, 40

This has no common difference , d =   10 - 5 (= 5 )≠ 20 - 10 (= 10)

As 5 ≠ 10

So the function does not define common difference .

Now,

This has common ratio , r =  [tex]\frac{10}{5} (=2) = \frac{20}{10}(=2)[/tex]

As 2 = 2

So, the function represent common ratio

Now,

The function does not represent an exponential function because it is increased by common ratio.

Drag the symbol to complete the solution to this inequalities​

Answers

Answer:

x ≤ 13.2.

Step-by-step explanation:

6  ≥  x/2.2

Multiply both sides by 2.2:

6 * 2.2 ≥ x

x ≤ 13.2.

The solution to the inequality is [tex]x \leq 13.2[/tex], the correct symbol used in blank is  ≤.

To complete the solution to the inequality [tex]6 \geq \frac{x}{2.2}.[/tex]

Rearrange the inequality as follows:

[tex]\frac{x}{2.2} \le 6[/tex]

The solution to the inequality is:

[tex]x \leq 13.2[/tex]

Comparing the expression [tex]\frac{x}{2.2}[/tex] to 6, we can see that [tex]\frac{x}{2.2}[/tex] should be less than or equal to 6 in order for the inequality to hold true.

Therefore, the correct symbol to place in the blank is "≤" and solution is [tex]x \leq 13.2[/tex].

To learn more on Inequalities click:

https://brainly.com/question/28823603

#SPJ6

HELP
Question 6 (1 point)
How likely is it for the spinner to land on a C?

There is a
% chance the spinner will land on a C.
Blank 1:

Answers

Answer:

The likeliness to land on C is 1/2

Step-by-step explanation:

hope this helps

A mountain climber climbed down a cliff 20 metres at a time. He did this 3 times in one
day. What was the overall change in his elevation?

Answers

Answer: The climbers overall change in elevation was -60 meters

Hope this helps. Let me know if you need anything else.

River C is 100 miles longer than River D. If the sum of their lengths is 5,500 miles, what is the length of each river?

Answers

Answer:

river C is 2850 and river B is 2650

Use the distributive property to find the equivalent expression.
7(2 + 5y) =
y
+

Answers

The answer is 19y I had this problem in the 6 grade but glad I could help

5) A 3-year-old dog is often considered to be 21 in human years. Assume that the age
of a dog varies directly with the age of a human. What is the human-year age of a dog
that is 14-years-old?

Answers

Answer:

98

Step-by-step explanation:

Answer:

Answer is 98

Step-by-step explanation:

You take 14 and times it by 7 to get 98

Ima just need help again

Answers

Answer:

B, E

Step-by-step explanation:

What is m<1?
A.39
B. 47
C. 51
D. 129

Answers

Oops i accidentally deleted it, but the angle would be 39 degrees :)

In the adjoining figure, find the values of X and Y.​

Answers

Answer:

x=5 cm,y=12 cm

Step-by-step explanation:

We are given that

RQ=3 m

PQ=4 cm

RP=x cm

RS=13 cm

SP=y cm

We know that Pythagoras theorem

[tex](Hypotenuse)^3=(base)^2+(perpendicular\;side)^2[/tex]

In right triangle RQP

Using Pythagoras theorem

[tex]RP^2=RQ^2+PQ^2[/tex]

Substitute the values

[tex]x^2=3^2+4^2[/tex]

[tex]x^2=9+16[/tex]

[tex]x^2=25[/tex]

[tex]x=\sqrt{25}=5[/tex]cm

Now,

In triangle RPS

[tex]RS^2=RP^2+SP^2[/tex]

[tex](13)^2=5^2+y^2[/tex]

[tex]169=25+y^2[/tex]

[tex]169-25=y^2[/tex]

[tex]144=y^2[/tex]

[tex]y=\sqrt{144}=12[/tex] cm

The original price of a jacket is $70. The sale price is 30% off the original price. What is the amount off the original price (discount)? How much will you pay for the jacket with the discount?

Answers

Answer:

$49

Step-by-step explanation:

$70 - 30% = $49

Answer

its 47$

Step-by-step explanation:

You divide the number by the percentage which in this problem would look like 0.30 and then you move the decimal to the left once after you get your answer this is about

What are the solutions of 16p^2 - 64 = 0

Answers

Answer:

p = 2 or p = -2

Step-by-step explanation:

Solve for p over the real numbers:

16 p^2 - 64 = 0

Hint: | Factor constant terms from the left hand side.

16 p^2 - 64 = 16 (p^2 - 4):

16 (p^2 - 4) = 0

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by 16:

p^2 - 4 = 0

Hint: | Using the quadratic formula, solve for p.

p = (0 ± sqrt(0^2 - 4 (-4)))/2 = ( ± sqrt(16))/2 = ( ± 4)/2 = ± 2:

Answer: |  

| p = 2 or p = -2Solve for p over the real numbers:

16 p^2 - 64 = 0

Hint: | Factor constant terms from the left hand side.

16 p^2 - 64 = 16 (p^2 - 4):

16 (p^2 - 4) = 0

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by 16:

p^2 - 4 = 0

Hint: | Using the quadratic formula, solve for p.

p = (0 ± sqrt(0^2 - 4 (-4)))/2 = ( ± sqrt(16))/2 = ( ± 4)/2 = ± 2:

Answer: |  

| p = 2 or p = -2Solve for p over the real numbers:

16 p^2 - 64 = 0

Hint: | Factor constant terms from the left hand side.

16 p^2 - 64 = 16 (p^2 - 4):

16 (p^2 - 4) = 0

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by 16:

p^2 - 4 = 0

Hint: | Using the quadratic formula, solve for p.

p = (0 ± sqrt(0^2 - 4 (-4)))/2 = ( ± sqrt(16))/2 = ( ± 4)/2 = ± 2:

Answer: |  

| p = 2 or p = -2Solve for p over the real numbers:

16 p^2 - 64 = 0

Hint: | Factor constant terms from the left hand side.

16 p^2 - 64 = 16 (p^2 - 4):

16 (p^2 - 4) = 0

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by 16:

p^2 - 4 = 0

Hint: | Using the quadratic formula, solve for p.

p = (0 ± sqrt(0^2 - 4 (-4)))/2 = ( ± sqrt(16))/2 = ( ± 4)/2 = ± 2:

Answer: p = 2 or p = -2

A tree casts a 24 foot shadow while the sun is at an angle of elevation of 58°. Use this information to approximate the height of the tree to the nearest tenth of a foot.

Answers

draw a picture.
tan(58°) = height/24
Height = 24tan(58°) ≈ 38.4 feet

10. How long did it take for Krista's family to drive the 110 mi, to the cabin in the mountains if they were
able to average only 40 mph?

Answers

Answer:

2.75 hours

im pretty sure

Step-by-step explanation:


Which of Polygons B, C, D, E, and F are similar to Polygon A?

Answers

Answer:there is no picture

Step-by-step explanation:

Answer:

theres no picture brainliest

Step-by-step explanation:

jayfeather friend me

in the picture, thanks :)

Answers

Answer is G
2y-x=10
Division by 2 to get rid of it
Y-x=5
Add x to both side to make y to stay alone
Y=x+5

The equation of line r is y = –3/2 x + 5. Line s is parallel to line r. What is the slope of line s?

Answers

Answer:

-3/2

Step-by-step explanation:

Parallel lines have same slopes.

Which expression is equivalent to 2 – 35?
Choose 1 answer:
A
2- (-35)
B
2+(-35)
-35 - 2
D
35 - 2
V

Answers

The answer is B: 2+(-35)

Answer:

The Correct answer is B

Step-by-step explanation:

35 - 2 is 33

so you just add a negative sign and you have your answer

If James measures 5‘4“ tall how tall is James in inches

Answers

Answer:

64 inches

Step-by-step explanation:

5 * 12 = 60

60 + 4 = 64

Please help! Giving out brainiest.

Answers

Answer:

x - 1

Step-by-step explanation:

3(3x + 3) - 2(5 + 4x)

9x + 9 -10 - 8x

x - 1

hope this helps!

In which number is the digit 6 one hundred times larger than it is in the number 647?

A. 5,638
B. 6,523,532
D. 38,641
C. 65,398

Answers

Answer:

65,398

Step-by-step explanation:

In the numbers 5,638 and 38,641, the digit 6 is the SAME value as in 647. In the number 6,523,532, the digit 6 is 10,000 times larger than in 647. In the number 65,398 the digit 6 is 100 times larger than in 647.

11g − 5g + –17g − –7g = –12

Answers

Answer:

g=3

Step-by-step explanation:

11g-5g+-17g-(-7g)=-12

Add the like terms (nice that in this case they are all on the same side)

6g+-17g-(-7g)=-12

-11g-(-7g)=-12

-4g=-12     Now we divide (phew that was a lot of negatives XD)

g=3    

Find the area of the figure

Answers

Answer:

What figure?

Step-by-step explanation:

Solve the system of equations - 8x - 5y = -13 and - 4x – 5y = 11 by
combining the equations.

Answers

Answer:

(6,-7)

Step-by-step explanation:

subtract them:

-8x - 5y = -13

-4x - 5y = 11

you get

-4x = -24

so x = 6

plug x into the second equation:

-24 - 5y = 11

-5y = 35

y = -7

so your solution is (6,-7).

Answer:

Your solution is (6, -7).

Step-by-step explanation:

Combining the equations is also known as substitution. This is done when you substitute one variable into another equation.

-8x - 5y = -13

-4x - 5y = 11

Let's change the second equation into one with one variable on each side.

-5y = 4x + 11

y = -4/5x - 11/5

Now, plug this into your first equation.

-8x - 5(-4/5x - 11/5) = -13

Distribute the -5 sign.

-8x + 4x + 11 = -13

Combine the like terms.

-4x + 11 = -13

-4x = -24

Isolate x by dividing both sides by -4.

x = -24/-4

x = 6

Now plug this back into either equation.

y = -4/5(6) - 11/5

Multiply.

y = -24/5 - 11/5

Subtract.

y = -35/5

Simplify.

y = -7

Your solution is (6, -7).

Check this by plugging in these values into the equation you have not checked yet.

-8(6) - 5(-7) = -13

-48 + 35 = -13

-13 = -13

Your solution is correct.

Hope this helps!

Find The value of x =

Answers

Answer:

x = 10

Step-by-step explanation:

5 / sin 30° = x / sin 90°

5 / (1/2) = x / 1

5 . 1 = 1/2 . x

5 = 1/2x

x = 5/1/2

x = 10/1

x = 10

help pleaseee thank you

Answers

I don’t know what I’m trying to solve here but wouldn’t X be 0 since anything you multiply it equals zero?

Other Questions
Orion, also called the Hunter, has three stars that make up Orion's belt.Which star is at the tip of the arrow? PLEASE HELP I NEED THIS FASTA. SiriusB. BetelgeuseC. RigelD. Polaris Please help 30 points. Don't put bad answers and show your work please. help, please. I'll give brainlist or however u spell it lolz! Hellpppp=========== Write a rule for the linear function in the table.f(x) = 4x + 3f(x) = 4x 3f(x) = x + 3f(x) = [tex]\frac{1}{4}[/tex]x +3 How does social media bring people negative attention? Olivia walked to the park while she watched for her mom. Simple, compound, or complex? what is the equatorial circumference of Earth? what is the relationship between insulin and glucose. include the following terms - Insulin, Insulin receptor, Glucose, Pancreas, Glucose Transport Protein, Cell membrane Which of the following natural occurrences would probably be most interesting to a Mayan priest As members of the Bourbon Triumvirate, Joseph E. Brown, Alfred H. Colquitt, and John B. Gordon all supportedA. expanding industry in GeorgiaB. high taxes for state residentsC. equal rights for newly freed slavesD. shutting down the coal mining industry ***98 POINTS *** someone please help what does the that refer to? tap your answer part A & part B Identify each part of this chemical equation that describes the burning of methane and oxygen. B (blue box): D (number): E (purple box): what is the graph of y = x2 + 8x + 4? Shannons bicycle travels 40 feet for every 3 pedal turns. How many pedal turns are needed to travel one mile (1 mile = 5,280 feet) please help and ill give you brainliest someone please help asap!!!! Write an algebraic expression that can be used to show the total cost of bowling if each game cost $5 and shoe rentalis$25+2x appresiation of the poem line written in early spring PLEASE HELPWhich line segment is a radius of K?A) EHB) FGC) DKD) KH