the initial number of bacteria in a culture is 12,000. the xulture doubles each day write an exponential functin to model the population Y of bacteria after X days

Answers

Answer 1

The equation would be y=12000(2)ˣ.

This equation is of the form y=a*bˣ, where a is the initial population and b is the rate that it increases by. In this problem, a = 12000 and b=2, since it doubles each time.

Answer 2

Answer:

[tex]Y = 12,000 \cdot (2)^X[/tex]

Step-by-step explanation:

The exponential function is given by:

[tex]y =a \cdot b^x[/tex]

where,

a is the initial values and b is the growth factor.

As per the statement:

The initial number of bacteria in a culture is 12,000.

⇒Number of bacteria initially(a) = 12,000

It is also given that the culture doubles each day.

⇒ growth factor [tex]b= 2[/tex]

We have to find the exponential function to model the population Y of bacteria after X days.

By definition of exponential function:

[tex]Y = 12,000 \cdot (2)^X[/tex]

where, x represents the days and Y is the population after X days.

Therefore, an exponential function to model the population is,

[tex]Y = 12,000 \cdot (2)^X[/tex]

Related Questions

the radius of a golf ball is 2.1 centimeters find the volume of the golf ball to the nearest tenth

Answers

Final answer:

The volume of the golf ball, rounded to the nearest tenth, is approximately 13.8 cm^3.

Explanation:

The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where V is the volume and r is the radius of the sphere.

In this case, the radius of the golf ball is given as 2.1 centimeters. So, substituting the value of the radius into the formula, we can find the volume.V = (4/3)π(2.1)^3 = 4.4π cm^3. To find the volume to the nearest tenth, we substitute π with its approximate value of 3.14 and calculate V = 4.4 * 3.14 = 13.816 cm^3.

Rounded to the nearest tenth, the volume of the golf ball is approximately 13.8 cm^3.

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a rectangular box has a volume of 480 cubic inches. The height of the box is 5 inches. The ratio of the length of the box to the width of the box is 3 to 2. What is the measure of the width of the box?

Answers

W^2= 64
take sqrt
W= 8
plug value of W
L=3W/2
L=3*8/2
L=12
L=12, W= 8 , H =5
CHECK
12*8*5= 480 cu.inches

maths question help plz

Answers

using the Pythagorean theorem:
x = sqrt(5.1^2 + 2.5^2)

x = sqrt ( 26.01 + 6.25)

x = sqrt(32.26)

x = 5.679
rounded off: X = 5.68 mm

2. Basketball Players:
Find the Measures of Center and Variability for Basketball Players Heights.
Mean:

Mode:

Median:

Range:

3. a. How many of the 10 basketball players are shorter than the tallest field hockey player?

b. List the heights that overlap in the dot plot?

Answers

2.Mean:72.1
Mode: 72
Median: 72
Range: 7
3a. 2 players
3b. 68, 69 inches

2. Adding all the heights together yields 721. divide it by the number of players (10) for the mean of 72.1.
72 appears the most at 4 times so it is the mode.
The median with the values ordered 72 is the middle number.
The maximum of 75 minus the minimum of 68 gives a range of 7.

3a. there are two dots that are smaller then the tallest hockey player, b. those dots are at 68 and 69 inches in the dot plot

Which of the values in the set {2, 3, 4, 5} is a solution to the equation 2x + 4 = 10?

A. 2
B. 3
C. 4
D. 5

Answers

The Answer is 3
2(3)+4=10
6+4=10
10=10

Answer:

Your answer would be B!

Step-by-step explanation:

I took the test myself just now and got it right <3

At a fair, each person can spin two wheels of chance. The fist wheel has numbers 1,2, and 3. The second wheel has the letters A and B. (A) list all the possible outcomes of the computed event. (B) if you spin both wheels, what is the probability that you get either a 1 or an A? Explain.

Answers

The answer to Part (B) is 4/6

(a) There are 3 numbers on the fist well and 2 letters on the second, so number of possible outcomes = 3*2 = 6 possible outcomes

The possible outcomes are 1A, 2A, 3A, 1B, 2B, 3B

So in total there are 6 possible outcomes as shown above if a person can spin the two wheels

(b) From possible outcomes A or 1 can appear four times namely: 1A,2A,3A and 1B

So probability is number of successes/ total number = 4/6

10 < –2b or 2b + 3 > 11

Answers

10 < –2b or 2b + 3 > 11 represents 2 different sets of numbers.

10 < –2b can be reduced by dividing both sides by -2; you must then reverse the direction of the < sign: -5 > b, which is the interval b < -5: (-infinity, -5).

2b + 3 > 11 reduces to 2b > 8, which in turn reduces to b > 4: (4, infinity).

It may be helpful to graph these sets.

If you really do mean "10 < –2b or 2b + 3 > 11," then the "solution" is made up of two sub-intervals: b < -5 and b > 4.

A bag contains 10 identical balls numbered from 1 to 10. What is the probability that a person reaches into the bag and randomly selects a ball with a number that is even?

Answers

1 out of every 2 draws

The answer to your question would be 50%, due to the reason that 2,4,6,8,10 are all even. Which means 1,3,5,7,9 are odd. The problem is 5/10 or 1/2, which would equal up to 50%.

-6 < -3; Divide both sides by -3

Answers

2[tex] \geq [/tex] 1

Alan drew a polygon with four sides and four angles. All four sides are equal.None of the angles are right angles.What figure did Alan draw

Answers

Alan drew a rhombus, all four side are equal but none of the angles are right.

If a function is odd, then which statement is true?

Answers

By definition, a function is odd if f(-x) = -f(x) for all x in the domain. The answer is choice C

Side note: a function is even if f(-x) = f(x) for all x in the domain

select all expressions less than 5-square root of 135
a.pie/square root of 2
b.5/square root of 3
c.3+2 times square root of 2
d.4+8 time square root of 50
explain and show work

Answers

it should be b im not sure

Parker bought 4 times as many marbles as Molly.Cole bought 5 fewer marbles than Parker. If Molly bought p marbles how many did Cole buy?

Answers

4x-5m is the answer.

A single , standard number cube is tossed. What is the probability of getting a 4 or 5 ?

1. 1
2. 1 / 5
3. 1 / 3
4. 1 / 6

Answers

[tex] |\Omega|=6\\
|A|=2\\\\
P(A)=\dfrac{2}{6}=\dfrac{1}{3}\approx33\% [/tex]

use the law of cosines to find the measure of BC?

Answers

x^2= 17^2+28^2-2(17)(28)cos91
x=33.00

The length of side CB is 33 unit using Law of Cosines.

Thus, option (D) is correct.

Given:

AB = 28 unit

<A = 81

AC = 17 unit

According to Law of Cosines

the lengths of the sides of a triangle to the cosine of one of its angles.

The Law of Cosines states:

[tex]c^2 = a^2 + b^2 - 2ab * cos(C)[/tex]

Where:

c = side opposite angle C

a and b = lengths of the other two sides

< C= opposite side c

Now, using Law of Cosines

CB² = AC² + AB² - 2 . AC. AB COS (91)

= (17)² + (28)² - 2 (17)(28) COS (91)

= 289 + 784 - 476 (-0.01745)

= 1,081.3062

So, CB = √ (1,081.3062)

CB = 32.883

CB = 33 unit.

Thus, the value of CB is 33 unit.

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7÷10p^3 ÷ 2÷ 8p^2 please help

Answers

7p^5/160 is the answer

A number that is equal to 36 more than y

Answers

Final answer:

The number that is equal to 36 more than y is represented as x = y + 36, and is an algebraic expression that adds 36 to the variable y to define another variable x.

Explanation:

The question "A number that is equal to 36 more than y" can be expressed in a mathematical form as x = y + 36. Here, we are defining a new variable x, which represents the number that is 36 more than another variable y. This type of problem is common in algebra, where one variable is defined in terms of another.

To understand this with an example, if y represented someone's final exam history grades and we wanted to find a number that is 36 points higher than their history grade, we would add 36 to their grade y to get x. So, if the history grade was 60, the number x would be 60 + 36, which equals 96.

This relationship between x and y could be part of a larger system of equations or could represent a formula used to transform one set of data to another set, such as adjusting scores or predicting outcomes based on previous data.

Jade is making a square birthday card and she's going to put a ribbon borders on each of the 4 equal sides piece of ribbon that is 33 inches long do you have all of the ribbon how many inches of ribbon conget put on all
equals side

Answers

8 inches can cover each side
(she will have 1 inch left)

Final answer:

Jade can use 8.25 inches of ribbon on each side of her square birthday card by dividing the total ribbon length of 33 inches by the number of sides, which is 4.

Explanation:

Jade is making a square birthday card and wants to put ribbon borders on each of the 4 equal sides using a piece of ribbon that is 33 inches long. To determine how much ribbon can be put on each side, we divide the total length of the ribbon by the number of sides of the square. Since a square has four sides, we divide 33 inches by 4.

33 inches ÷ 4 sides = 8.25 inches per side

Therefore, Jade can put 8.25 inches of ribbon on each side of the birthday card.

Cindy has a jar of mixed nuts. There are two pecans, three peanuts, and one cashew in the jar. Cindy grabs two nuts and gives them to her friend, Paul, and he eats them. What is the probability of Paul eating a cashew and a pecan?

A. 1/18

B. 1/15

C. 2/11

D. 1/4

Answers

the answer would have to be D 1/4

$7800 increased by 22.5%

Answers

First you must divide 22.5 by 100.

22.5 / 100 = .225

Then add 1.

.225 + 1 = 1.225

Finally times 7800 with 1.225

7800(1.225) = 9555

$9555 is the answer.

The cost of a taxi is $2.75 plus $0.40 per half mile.write an equation to find the cost of a taxi ride that is m miles long How much would it cost you to travel 45 miles m=#miles c=#cost
1.C stand for ____.
a.cost
b.circle
2.what is the equation?
a.c=-0.4m+2.75
b.c=0.4m+2.75
3.what is the solution?
a.$6.35
b.$6.25

Answers

1) It tells you in the question c = cost, so cost would be the answer

2) 2.75 is the fixed rate so we would keep it as is. C is the cost which would the total, so c = ?m + 2.75
0.40 per half mile so you put 0.40m because it varies depending on the amount of miles
That makes the equation c = 0.40m + 2.75

3) Now to find how much it costs for 45 miles, you plug 45 for m
c = 0.4 * 45 + 2.75
c = 20.75
Not sure why it isn't an option

whats the factor of 21n^2 -14

Answers

Answer:

7(3n^2-2)

Step-by-step explanation:

=21n^2-14

As the numbers 21 and 14 are multiples of 7, so 7 will be the common factor

=7(3n^2-2)

The ___ is the collection of all possible individual outcomes for a chance process. The total probability of all the possible individual outcomes is ____.

Choices for first blank: probability model; relative frequency; sample space; probability

Choices for second blank: 0.5; 0; 1; 100

Answers

Answer:

1. sample space

2. 1

Step-by-step explanation:

How many 8 ounce bags of trail mix can be filled from a 10 pound bag of trail mix

Answers

you can make 20 8 oz bags because there are 16 oz in 1 lb

16 oz x 10 pounds = 160

160 oz/ 8 oz = 20 bags

what's the radius of a circle with an area of 64 square feet?

Answers

Area = [tex] \pi r ^{2} [/tex]
64 = [tex] \pi r ^{2} [/tex]
[tex] \frac{64}{ \pi } =r^2[/tex]
[tex]r= \frac{ \sqrt{64} }{ \sqrt{ \pi } } = \frac{8}{ \sqrt{ \pi } } [/tex]

If you want the denominator rationalized, the answer is [tex] \frac{8 \sqrt{ \pi } }{ \pi } [/tex]

Layla drew a quadrilateral with 4 right angles and 2 pairs of opposite sides sides that are parallel.What quadrilateral best describes her drawing?

Answers

The answer is Rectangle

Based on the given information, Layla's drawing is a special type of quadrilateral known as a rectangle.

What is the rectangular shape?

Rectangles are quadrilaterals having four equal vertices and parallel sides that are equal to one another.

A rectangle is defined as a quadrilateral with four right angles and opposite sides that are parallel and congruent (i.e., they have the same length).

In Layla's drawing, she stated that there are two pairs of opposite sides that are parallel, which satisfies this definition.

Furthermore, the fact that all four angles are right angles also fits the definition of a rectangle.

It is important to note that not all quadrilaterals with two pairs of parallel sides and four right angles are rectangles.

For example, a parallelogram with four right angles is a special type of rectangle known as a square, which has all sides congruent.

Therefore, based on the given information, Layla's drawing best describes a rectangle.

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the school cafeteria served 125.6 liters of milk on Monday and 5.34 more liters of milk on Tuesday than on monday.how many total liters of milk were served on Monday and Tuesday

Answers

The total amount will be
total = (125.6 L) + ((125.6 +5.34) L) = (2*125.6 +5.34) L
total = 256.54 L

Help please i can’t figure this out

Answers

to find the y-intercept: replace x with 0
to find the x-intercept: replace y with 0

x-int:
0 = 10x - 32
32 = 10x
x = 3.2
(3.2, 0)
y-int:
y = 10(0) - 32
y = -32
(0, -32)

if f(x)=3x^2+2x-1, what is f(0)

Answers

The answer is -1. I hope this helps! :))

A rhombus has diagonals 500 yd and 800 yd in length. Find the area in square miles.

Answers

1 mile = 1760 yd, so your area is ...
A = (1/2)×d₁×d₂
A = (1/2)×(500/1760)×(800/1760) mi²
A = 125/1936 mi²
A ≈ 0.0645661 mi²

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