The number of mold spores on a piece of bread after a different amount of time or listed in the table below

Which function models the number of mold spores on the bread after X days

The Number Of Mold Spores On A Piece Of Bread After A Different Amount Of Time Or Listed In The Table

Answers

Answer 1

Answer:

Option (4)

Step-by-step explanation:

From the table attached,

Ratio of spores in day 2 and day 1 = [tex]\frac{400}{200}[/tex]

                                                         = 2

Ratio of spores in day 3 and day 2 = [tex]\frac{800}{400}[/tex]

                                                          = 2

There is a common ratio of 2 in each successive to the previous term of the Mold spores.

Therefore, spores are growing exponentially.

Let the function representing exponential function is,

y = a(b)ˣ

Here, y = Number of spores after time 'x'

x = Number of days

a and b are the constants.

On day 1,

x = 1

y = 200

By substituting these values in the exponential function,

200 = a(b)¹

ab = 200 -------(1)

On day 2,

x = 2

y = 400

400 = a(b)² -------(2)

Divide equation 2 by equation 1,

[tex]\frac{400}{200}=\frac{ab^{2} }{ab}[/tex]

b = 2

By substituting the value of b in equation (1),

a(2) = 200

a = 100

Therefore, equation of the function will be,

y = 100(2)ˣ

Option (4) will be the answer.


Related Questions

A room in the shape of an octagon has a perimeter of 72 feet. What is the length of each side of the room? Let s represent the length in feet of each side of the room. Write and solve an equation for s.​

Answers

Answer:

s=9

Step-by-step explanation:

8s=72

Divide 72 and 8

s=9

Step-by-step explanation:

Octagon is regular polygon meaning all sides are epual it is 8sided polygon p=72 = sides =8 each side =72÷8

=9feet

someone please answer without links please, thankyouuu

Answers

13 because I did this one believe

Please help, find the value of y

Answers

Answer

Step-by-step explanation:

chord makes  or arc make 120° at the center.

sum of other two angles of triangle=180-120=60

because they are equal.

so each angle=60/2=30°

tangent line makes angle 90° with radius .

so 30+y=90

y=90-30=60°

helllllp againenehdhdhfhbdbdbfhdb​

Answers

Answer:

2

Step-by-step explanation:

HELPP PLEASEEE MY GRADE DEPENDS ON ITTT!!!!!!!!!
Find the value x.

Answers

Answer:

its ten i think it depends on my work

[tex]\\ \qquad\quad\sf\longmapsto 48^2=64\times x[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 48^2=64x[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x=\dfrac{48^2}{64}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x=\dfrac{2304}{64}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x=36[/tex]

Anna has n number of nickels. She has less than 45 cents. Which inequality could be used to the find the value of n?
A 0.05n < 0.45
B 0.05n > 0.45
C 0.05n < 0.45
D 0.05n > 0.45

Answers

Answer:

The correct answer is A or C 0.05n < 0.45

Step-by-step explanation:

Nickels cost $0.05 and n is the number of nickels, so you multiply the two to get 0.05n. Since this value is less than $0.45, we put a less than sign.

What are the solutions to the system?
A. (0, 5.6) and (0, 13)
B. (0, 13) and (16, 1)
C. (4, 10) and (7, 7.75)
D. (16, 1) and (10,0)

Answers

Answer:

(4, 10) and (7, 7.5) are the solutions to this system.

Step-by-step explanation:

You can see this by observing the two given points where the line and the parabola intercept.  Those are the only two points where that will happen.

Find the surface area of the cone in terms of pie
16 cm
10 cm
The surface area of the cone is cm?
(Simplify your answer. Type an exact answer in terms of x.)

Answers

Answer:

all you did multiply it

Step-by-step explanation:


8. The difference between two numbers is 33 and the ratio
between them is 5:2. Find the numbers

Answers

Answer:

Step-by-step explanation:

x - y = 33

x/y = 5/2      Multiply both sides by y

y*x/y =5y/2

x = 5y/2       Multiply both sides by 2

2x = 5y        Multiply the top equation by 2. Bring 5y to the left

2x - 2y = 66

====================

2x - 5y = 0

2x - 2y = 66 Subtract

-3y = - 66      Divide by - 3

y = 22

x - y = 33

x - 22 = 33    Add 22 to both sides

x = 22 + 33

x = 55

A submarine was twenty feet below the surface of the water and descended an additional thirty-two and a half feet. Eventually the submarine ascended forty feet toward the surface of the water. What is the location of the submarine in the water?​

Answers

Answer:

-12 1/2 feet (12 1/2 feet below the surface).

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Plz help if correct ill give brainliest

Answers

Answer:

it's 48 promise because if you do 6x8 you get =48

For this, in basic terms, is asking for the two areas, of each shape, and then add those two together.

So, for the square:

A = Length • Width
A = 8•8
A = 64

Then, for the triangle:
A = 1/2 • Base • Height
A = 1/2 • 6 • 8
A = 3 • 8
A = 24

Finally:
64 + 24 = 88

The final answer is 88 ft^2

Hopefully this helped!

Parallel to y = 2x – 5
going through (-6, 1)?

Answers

Answer:

y=2x+13

Step-by-step explanation:

Gradient of parallel lines are equal and in the equation,y=2x-5, 2 represents the gradient.

Therefore the gradient of the other line will also be 2.

Introduce another point (x,y) and then equate using the gradient as follows:

y-1/x--6=2

y-1/x+6=2

Cross multiplication;

(y-1)=2(x+6)

y-1=2x+12

y=2x+12+1

y=2x+13

Please HELP!! Need answer ASAP

Answers

Answer:

last option:  answer is 'x'

Step-by-step explanation:

(3x + 1 - 1) / 3  =  3x / 3  = x

Katie made 2 gallons of lemonade for the party. Which expression can
be used to find the number of cups
Katie made?

Answers

Answer:

In one gallon, there are four quarts. 1 quart is 0.5 pints.  1 cup is 0.25 quartz

Step-by-Step:

Use those measurements to convert gallons into cups and find your expression.

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

GFD and jik...a pair of angles on the outer side

Answer:

<HIK and <GFD

<GFD and <JIK

Step-by-step explanation:

Exterior angles are outside angles.

Hope this helps! :)

Look at the photo! Please help

Answers

the answer is A

Explanation:

A Web music store offers two versions of a popular song. The size of the standard version is 2.5 megabytes (MB). The size of the high-quality version is 4.4 MB. Yesterday, there were 1140 downloads of the song, for a total download size of 4522 MB. How many downloads of the standard version were there?

Answers

Answer:

the number of downloads of the standard version is 260

Step-by-step explanation:

Let us assume the downloads of the standard version be x

And, the download of the high-quality version be y

Now as per the question

2.5x + 4.4y = 4522 .........(1)

x + y = 1140

y = 1140 - x .......................(2)

Now put the value of equation 2 in the equation 1

So,

2.5x + 4.4 (1140 - x) = 4522

2.5x + 5016 - 4.4x = 4522

-1.9x = -494

x = 260

Hence, the number of downloads of the standard version is 260

someone please help me answer this!!

Answers

Answer:

8 mm

Step-by-step explanation:

Answer attached....

Hope it helps :)

Answer:

a = 8mm is the answer

Step-by-step explanation:

a = ?

b = 6mm

c = 10mm

By using the Pythagoras theorem,

a² + b² = c²

a² + 6² = 10²

a² + 36 = 100

a² = 100 - 36

a² = 64

a = 8

∴ a = 8mm is the length of the missing leg

Salim has a flock of 300 chickens, 15% of which are infected with a virus. He plans on taking an SRS of 7
chickens to test for the virus.
Which of the following would find the probability that exactly 4 of the 7 chickens sampled have the virus?

Answers

Answer:

(7/4)(0.15)^4(0.85)^3

Step-by-step explanation:

khan says it’s right

A cylinder and a sphere shown below have equal volumes what is the radius of the sphere

Answers

Is it looking for the answer in decimals?

BRAINLIEST NEED ANSWERS ASAP PLEASE

Answers

[tex]\frac{3x+2+5(x-6)}{x^{2} -36}=\frac{8x-28}{(x+6)(x-6)}[/tex]

A wasp is a flying insect. In wasps, wing length is coded for by a single gene. Two scientists studying wasps hypothesize that short wings are recessive to long wings. Which of the following observations best supports this hypothesis?


Wasps with long wings are less likely to survive.


Wasps with long wings can produce offspring with short wings.


Wasps have wing lengths ranging from very long to very short.


Wasps with short wings prefer to mate with wasps with long wings.

Answers

Answer:Wasps with long wings are less likely to survive.

Step-by-step explanation:Because offsprings can happen is diffrent ways say a bird had a offsring that made it have one leg it wouldent sureive to the standers of a bird with 2 legs same goes for other animals sorry if there is some spelling misakes hope this helped:)

use the 3 digits 5, 3, and 2 only once in each number how many 3 digit numbers can you make?

Answers

Answer:

532

523

325

352

235

253

so you can make 6

A chemist is using 358 milliliters of a solution of acid and water. If 13.5% of the solution is acid, how many milliliters of acid are there
Round your answer to the nearest tenth.

Answers

Answer:

48 milliliters

Step-by-step explanation:

13.5% of 358 is 48

Given the length of segment EB is 12 meters. Find the length of arc EA. Round your answer to the nearest tenth.

Answers

Answer:14.9

Step-by-step explanation:

my calc 3 friend told me

help please thanks plsss

Answers

Answer:

A

area = 256 inches²

side = √256 = 16 inches

B

0.0063 inch = 6.3 × 10^-3

10. Find the measure of angle x.
11. Find the measure of angle ?

Answers

9514 1404 393

Answer:

  10. 28°

  11. 65°

Step-by-step explanation:

10. The two angles are complementary, so the unknown angle is ...

  x = 90° -62° = 28°

__

11. The three angles total 180°, so the unknown angle is ...

  ? = 180° -55° -60° = 65°

On Monday a local hamburger shop sold a combined total of 390 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Monday?

Answers

Answer:

Hamburgers + Cheeseburgers= 390

Hamburgers= x

Cheeseburgers= 2x

2x+x= 390

3x=390

x=130

Hamburgers sold= 130

Can you guys help me with this, please?

Answers

Answer:

G) y ≥ 1

Step-by-step explanation:

Range is all the y-values seen on the graph.

Since it starts at (0, 1), the lines just keep increasing so:

y ≥ 1

The box fill weight of Frosted Flakes breakfast cereal follows a normal distribution with a mean of 9.75 ounces and a standard deviation of 0.27 ounces. A sample of 25 boxes filled this morning showed a mean of 9.85 ounces. At the 0.05 significance level, can we conclude that the mean weight is more than 9.75 ounces per box

Answers

Answer:

Since the calculated value of z= 0.0185 does not lie in the critical region we conclude that  the mean weight is less and equal  to 9.75 ounces per box and accept the null hypothesis.

Step-by-step explanation:

Let the null and alternate hypothesis be

H0:  u ≤ 9.75   against the claim Ha: u > 9.75

Here

Population mean= u= 9.75

Standard deviation= 0.27 ounces

Sample mean= x`= 9.85

Significance level [tex]\alpha[/tex]= 0.05

Using z- test

z= x`-u/s/√n

z= 9.85-9.75/0.27/√25

z= 0.1/5.4

z= 0.0185

The critical region for 1 tailed test at 0.05= z > ±1.645

Since the calculated value of z= 0.0185 does not lie in the critical region we conclude that  the mean weight is less and equal  to 9.75 ounces per box and accept the null hypothesis.

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