About 12 weeks ago, there were 21 mold spores found in a garden. After a few weeks of observation, it is determined that the number of mold spores in the garden is tripling every 6 weeks. The number of mold spores, M, at any given time in the garden is equal to the product of the initial amount of spores, I, and 3 to the power of n, where n is the number of times the amount of mold spores has tripled. How many mold spores are in the garden today?

Answers

Answer 1

Answer:

189 spores

Step-by-step explanation:

The number of mold spores triple every 6 weeks. So in 12 weeks, it has tripled twice.

Given that:

M = I x [tex]3^{n}[/tex]

where M is the number of mold spore, I is the initial amount of spores, and n is the number of times the amount of mold spores has tripled.

Since, I = 21 and n = 2, we have;

M = 21 x [tex]3^{2}[/tex]

   = 21 x 9

   = 189

There would be 189 spores in the garden today.


Related Questions

1
4
a +
1
3
a + 8 = 22

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

a=14/27

Decimal Form:

a=0.¯¯¯¯¯¯518

Step-by-step explanation:

Paisley earned $384.30 at her job when she worked for 21 hours. How much money did she earn each hour?

Answers

Answer:

18.3

Step-by-step explanation:

384.3 divided by 21

Which of the choices below best describes the domain and range of this problem. Domain would be tickets sold and range would be amount of money he collected. Elijah has already sold $40 worth of tickets for a local raffle. He has 5 tickets left to sell at $5 per ticket.

Answers

Answer:

Step-by-step explanation:

Amount of ticket sold = $40

If one ticket is $5, we need to know the amount of ticket he sold that fetched Elijah $40

$5 = 1ticket

$40 = x tickets

Cross multiply

5x = 40

x = 40/5

x = 8tickets

If he has 5tickets left to sell at $5 per ticket, the total tickets the sold will be 8+3 = 13 tickets

The domain of the problem will be [1, 13]

For the range:

The amount of the remaining 5tickets will be (5×$5) = $25

Initial amount made = $40

Total amount he collected = $25+$40

= $65

The range if the problem will be [$5, $65]

Write down an example of an equation that has:
a. One solution
b. Two solutions
c. An infinite number of solutions
d. No solutions

Answers

Well one could be like B•A=C•X what is the value of X

Answer:

a. 2x+3=7

b. x^2=9

c. x=x

d. x+4=x+3

Step-by-step explanation:

A) can be proved correct by x=2 as 2(2)=4+4=7

B)x^2=9 can be proven correct by either (3,3) or (-3,-3) as 3*3 is 9 and -3*-3=9 as well because two negatives equal a postive

C) x=x is the simplest equation w/ infinite solutions-you could have 2=2 or 4=4

D) There is no answer that can make this equation correct

11 1 point Jannet used 155 beads to create 5 necklaces. How many beads did she use to create 9 necklaces?​

Answers

Answer:

155 bead to create 5 necklace therefore for 9 bead we should divide 155 by 5 and multiply the answer by 9

=155/5*9

=31*9

=279

What is the area of this tile?
10 in.
8 in.
6 in.

Answers

Answer:

I belive the area is 24...........

Step-by-step explanation:

i know it is 24  reason becuase if you add like this (10 + 8) + 6 you get 24 so means the area is 24 inches.

I think answer should be 24 please give me brainlest let me know if it’s correct or not okay bye

i need help with this

Answers

Answer:

1. -9

2. -2

3. -3

4. 2 (positive)

Step-by-step explanation:

positive + negative= positive

negative + positive =negative

positive +positive =positive

negative +negative =negative

hope you like it ( ' - ' )

which line is perpendicular to a line that has a slope of 1/2​

Answers

Line FG is the answer

Answer:

It’s line AB

Step-by-step explanation:

The equation for like AB is y=1/2x+0 and is perpendicular to HJ

Benjamin must have 120 credit hours of instruction to receive his college degree. Benjamin wants to graduate in 8 semesters without attending summer sessions. How many credit hours must Benjamin take on average each semester to graduate in 8 semesters? (8) Simplify this expression: -4^2

Answers

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that Benjamin must have 120 credit hours of instruction to receive his college degree and that he wants to graduate in 8 semesters without attending summer sessions.

The number of credit hours that Benjamin must take on average each semester to graduate in 8 semesters will be:

= 120/8

= 15 credit hours

(8) Simplify this expression: -4^2. This will be:

= -4 × -4

= 16

Order these in descending order (greatest to least). 1 is the greatest. 2 is the middle. 3 is the least.

Answers

Answer:

3/20 then 0.015 then 0.15%

Step-by-step explanation:

3/20 then 0.015 then 0.15%

3/20 is 0.15

0.15% is .0015

0.015 is 0.015

What is X? −7x−8= -10x+4

Answers

Answer: x=4

-7x-8=-10x+4

+8 +8

-7x=-10x+12

+10x +10x

3x=12

3x/3=12/3

X=4

i need help with this ​

Answers

Answer:

1. x=9

2. x=2

3. x=6

Step-by-step explanation:

I only know 1-3 sorry, but hope this helps

how do i do this
10 x 10 x 10 =
10 squared =
10 6

Answers

Answer:

Well 10 to the 6th power right?

Step-by-step explanation:

well u multiply 10x10x10x10x10x10

1000000

im sorry if this is not correct im sorry if its not 10 to the 6th power ;ccc

1000000 that is your answer

help please i'll love you forever thanksssss . *btw i am going to post a lot of questions if you answer & explain I'll give you brainliest each time .*

Isabella noticed that when she doesn't study for a test, on average she makes a 45. Isabella also realizes that for every hour she studies, on average she scores an additional 7 points. Which of the following represents g, get average test score she studied for h hours?

a. 7-5h=g
b. 7+5h=g
c. 45+7h=g
d. 45-7h=g

Answers

Answer:

C. 45 + 7h = g

Step-by-step explanation:

This one would be correct because you have to add 7 points to the 45 points she would get on average without studying, without forgetting to multiply 7 by the number of hours that Isabella studied.

Example:

Let's say that Isabella studied for 3 hours. We could replace the h for the number of hours that she studied.

45 + 7(3) = g

Now you just have to solve the equation.

45 + 21 = g

Following the rules of PEMDAS, you would get rid of the parenthesis first by multiplying 7 times 3. Now you just have to add and you will have your answer for g.

g = 66

Name the property that the statement illustrates.

Answers

Answer:

Symmetric property of angle congruence

symmetric property of angle congruence

Pls halp due today thank you!

Answers

Answer:

k

Step-by-step explanation:

Slope = -8/1
Y-Intercept = (0,4)
Equation = y=-8+4

What is the domain of f(x)?
O {xl-4 O {xl-3 < x < 4}
O {x|1 < x < 4}
O {x|2 < x < 4}

Answers

The answer is d and if it is not d then it is c.
I hope this helps you

how do you convert fractions to decimals?​

Answers

Answer: division :3

Step-by-step explanation:

The line in a fraction that separates the numerator and the denominator represents division.

To convert a fraction to a decimal, divide the numerator by the denominator.

How many square feet of outdoor carpet will
we need for this hole?

Answers

Answer:

42 square feet

Step-by-step explanation:

the smaller square at the bottom

3 x 2 = 6 square feet

the larger square

3 x11 = 36

add the two areas together

36+6 = 42

Graph g(x), where f(x) = 4x − 2 and g(x) = f(x + 1).

a line labeled g of x that passes through points 0, negative 2 and 1, 2
a line labeled g of x that passes through points 0, negative 3 and 1, 1
a line labeled g of x that passes through points negative 1, negative 2 and 0, 2
a line labeled g of x that passes through points 0, negative 1 and 1, 3

Answers

9514 1404 393

Answer:

  a line labeled g of x that passes through points (-1, -2) and (0, 2)

Step-by-step explanation:

We can find the function g(x) to be ...

  g(x) = f(x+1) = 4(x+1) -2

  g(x) = 4x +2

This tells us the y-intercept is (0, 2), so the only viable answer choice is ...

  a line labeled g of x that passes through points (-1, -2) and (0, 2)

Answer:

Your answer would be C:]

Step-by-step explanation:

Reema spends $19.25 on 100 lead pencils. what is the price of one pencils? round the answer to the nearest penny.​

Answers
$0.02
$0.19
$1.93
$19.25

Answers

0.19 it’s B and I know cause it’s common sense

Answer:

0.19 aka B

Step-by-step explanation:

Will give BRAINLIEST if it’s correct pls explain why rol

Answers

she’s serving 20% I know this because there are 5 pieces cut evenly! so 100 divided by 5 is 20.

Answer:

think of the pie as 100, each slice is worth 20 so she served 20% of the pie.

Step-by-step explanation:

The phone company makes 2 defective phones for every 145 made. How many phones will be defective in a batch of 870 phones?

Answers

Answer: 12 defective phones

Steps: Divide 870 by 145.

870 ÷ 145 = 6

6 batches are in this amount. If 1 batch has 2 defective phones, then 6 batches have 12.

Therefore the amount is twelve.

Plz mark brainliest:)

Will mark brainliest if correct!!!
Evaluate 8a + 3b - 10 + c² when a = 2, b = 5, and c = 4.

Answers

Answer:

37

Step-by-step explanation:

8(2)+3(5)-10+c^2=37

An empty erlenmeyer flask that weighs 245.8 g is filled with 125 mL of carbon tetrachloride . The weight of the flask and carbon tetrachloride is found to be 444.6 g. From this information , calculate the density of carbon tetrachloride .​

Answers

Answer:

The density is 1.59 g/mL. Therefore, the substance will NOT float in water.

Step-by-step explanation:

The following data were obtained from the question:

Mass of empty flask = 245.8 g

Mass of flask + CCl₄ = 444.6 g

Volume of CCl₄ = 125 mL

Density of CCl₄ =?

Next, we shall determine the mass of carbon tetrachloride, CCl₄. This can be obtained as follow:

Mass of empty flask = 245.8 g

Mass of flask + CCl₄ = 444.6 g

Mass of CCl₄ =.?

Mass of CCl₄ = (Mass of flask + CCl₄) – (Mass of empty flask)

Mass of CCl₄ = 444.6 – 245.8

Mass of CCl₄ = 198.8 g

Finally, we shall determine the density of carbon tetrachloride, CCl₄ as follow:

Mass of CCl₄ = 198.8 g

Volume of CCl₄ = 125 mL

Density of CCl₄ =?

Density = mass / volume

Density of CCl₄ = 198.8 / 125

Density of CCl₄ = 1.59 g/mL

The density of water is 1 g/mL. Since the density of carbon tetrachloride, CCl₄ (i.e 1.59 g/mL) is bigger than that of water, the substance will not float in water.

The density of carbon tetrachloride is 1.59 grams per milliliter.

Given that an empty erlenmeyer flask that weighs 245.8 g is filled with 125 mL of carbon tetrachloride, and the weight of the flask and carbon tetrachloride is found to be 444.6 g, to determine the density of carbon tetrachloride the following calculation must be performed:

Subtract the weight of the empty flask from the weight of the full flask, and then divide this result by 125 (the milliliters of carbon tetrachloride).

(444.6 - 245.8) / 125 = X 198.8 / 125 = X 1.59 = X

Therefore, the density of carbon tetrachloride is 1.59 grams per milliliter.

Learn more in https://brainly.com/question/952755

8 7/90 in decimal form

Answers

Answer:

0.07–

Step-by-step explanation:

The answer is above :)

Answer:

to express in decimal form , we have to join convert the mixed fraction into a improper fraction.

8 7/90 = d * w + n

          =  90 * 8 + 7

        =    720 + 7

          = 727 / 90

 now you have to make the denominator into a mutiple of 10

         = 727 / 90  divided by 9

        =  80 / 10

       = 0.80

Step-by-step explanation:

hope it helps .

2-10n plez helppppppppppppppppppppp

Answers

Answer:

2-10n=.............what. We can't figure out n given 2-10n without a solution

Step-by-step explanation:

This doesn’t make sense

When Arjun makes hot cocoa, he adds 20\text{ mL}20 mL20, start text, space, m, L, end text of chocolate syrup for every 333 ounces of hot water. Arjun's brother, Eli, adds 45\text{ mL}45 mL45, start text, space, m, L, end text of chocolate syrup for every 666 ounces of hot water. Which hot cocoa is more chocolatey? Choose 1 answer: Choose 1 answer:

Answers

Answer:

45mL hot cocoa is more chocolatey

Step-by-step explanation:

When Arjun makes hot cocoa, if he add 20mL of chocolate syrup to 3ounces of water, let us know the equivalent chocolate in one ounces of water.

20mL = 3 ounces

x = 1 ounce

cross multiply

3x = 20

x = 20/3

x = 6.67 mL

This means he must have add 6.67mL of chocolate to 1 ounce of water.

Similarly, if 45mL is added to every 6 ounces

45mL = 6ounces

x = 1 ounce

cross multiply

6x = 45

x = 45/6

x =  7.5mL

This means he must have add 7.5mL of chocolate to 1 ounce of water.

The hot cocoa that is more chocolatey is the one with the highest amount of chocolate in 1 ounce. That is 45mL hot cocoa

Answer:

eli's cocoa is more chocolately. i would show proof (on khan academy), but I just skipped the q. :|

Step-by-step explanation:

HELP ME PLS ITS 3AM IM TIRED // geometry HL AND CPCTC

Answers

Answer:

b

Step-by-step explanation:

angle b = angle e = 90 (given) R

if ac = df H

bc = ef (given) S

Pls answer for brainliest!

Answers

Answer:

h<2

Step-by-step explanation:

5×2h+5×8<60

10h+40<60

10h<60-40

10h<20

10. 10

h<2

Answer:

Step-by-step explanation:

5(2h + 8) < 60

10h + 40 < 60

10h < 30

h < 3

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