An astronaut was exploring the moon of a distant planet, and found some glowing goo at the bottom of a very deep crater. She brought a 10-gram of the goo to her laboratory. She found that when the goo was exposed to light, the total amount of goo increased by 100% every hour. How much goo will she have sfter 1 hour?After 2 hours? After 3 hours? After n hours?

Answers

Answer 1

Answer:

20 ; 40 ; 80 ; 10(2^n)

Step-by-step explanation:

Given that:

Initial amount of goo (p) = 10 gram

Total amount of goo increased by 100% every hour ;

How much goo will she have sfter 1 hour?After 2 hours? After 3 hours? After n hours?

Using the relation :

Final amount = initial * (1 + rate)^t

Rate = 100% = 100/100 = 1

t = number of hours

Hence, after 1 hour :

Final amount = 10(1 + 1)^1

Final amount = 10(2)^1 = 20 grams

After 2 hours : t = 2

Final amount = 10(1 + 1)^2

Final amount = 10(2)^2 = 10 * 4 = 40 grams

After 3 hours ; t = 3

Final amount = 10(1 + 1)^3

Final amount = 10(2)^3 = 10 * 8 = 80 grams

After n hours ; t = n

Final amount = 10(1 + 1)^n

Final amount = 10(2)^n grams


Related Questions

Help ASAP. Solve both

Answers

Step-by-step explanation:

question 15

For y to be parallel to z the sum of given angles must be equal to 180°

3x + 7 + 10x - 22 = 180° add like terms

13x - 15 = 180 add 15 to both sides

13x = 195 divide both sides by 13

x = 15

question 16

If y is parallel to z then the given angles are alternate exterior and has same measurement

11x - 3 = 4x + 39

11x - 4x = 39 + 3

7x = 42 divide both sides by 7

x = 6

HELP MATH STIKES AGAIN!
Hotel A hotel charges $140 per night for the first two people and $10 for each additional person. Hotel B charges $80 per night for the first two people and $20 for each additional person. At how many additional people per night is the rent for the two rooms the same.
I will mark brainlyist for correct answer

Answers

Answer:

9

Step-by-step explanation:

What are some ideas for my girlfriends Christmas present of little sayings I can put in a box in a box in a box in a box. For example, if I got my girlfriend a nose ring in one of the boxes, I could say nobody “nose” me like you do. PLEASE HELP, I NEED IDEAS ASAP, thank you!

Answers

Step-by-step explanation:

I don't think she want's a nose ring, Okay start by writing a pretty poem then Give a meaningful necklace. Girl like jewlry

Omg I love this question like you can buy her some jewelry or a purse or makeup! Depends what kind of aesthetic she is.

A 10 meter piece of wire is cut in to two pieces. One piece is 2 meters longer than the other. How long are the pieces?​

Answers

Answer:

Step-by-step explanation:

total metre = 10m

If one piece is 4m then 2m more then that = 4 + 2 = 6m

So total = 4 + 6 = 10m

im really bad in math so could anyone help me please

Answers

Answer is
5, the third option
Yeah the answer is 5

-2.5f + 0.2f - 13 - 8

Answers

Answer:

2.3f - 21

Step-by-step explanation:

which expression is equivalent to 15+3x?

Answers

Answer:

There are no pictures

Step-by-step explanation:

Show a picture and I will help you.

The Expression Equivalent to 15+ 3x is 3(5+x).

What is Expression?

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one maths operation. Addition, subtraction, multiplication, or division are all examples of maths operations. An expression's structure is as follows:

(Number/variable, Math Operator, Number/variable) is an expression.

We have the Expression as,

15 + 3x

1. 3(5+ x)

Using Distributive property

15 + 3x

2. 5(3 +x)

Using Distributive property

15 + 5x

3. 3(5+ 3x)

Using Distributive property

15 + 9x

4. 5(3 + 3x)

Using Distributive property

15 + 15x

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ2

PLEASE HELP !!!!!!!!!!!!!! WILL MARK BRIANLIEST CORRECT ANSWER !!!!!!!!!!!!

Answers

Not 100% sure but I did research and 14 and sqrt 24 are two sides or dimensions so to find a third side it is sort of hidden ya know, so you have to do extending equations to find 3 side I would divide square root of 24 and 14 then multiply by three :)

Answer: c=(220)^1/2

^1/2 is the square root

Step-by-step explanation:

c^2=a^2+b^2

c^2=14^2+(24^1/2)^2

c^2=196 +24

c^2=220

c=(220)^1/2

ill offer 50 points plus 30 points for all of this

Answers

Answer:

0.64 Fraction: 16/25   Percent: 64%

55%  Fraction: 11/20    Decimal: 0.55

0.16    Fraction: 4/25           Percent: 16%

17/100  Decimal: 0.17            Percent: 17%

0.35       Fraction: 7/20        Percent: 35%

28%     Fraction: 7/25          Decimal: 0.28

62.5%    Fraction:  5/8          Decimal: 0.625

Step-by-step explanation:

Answer:

0.64 Fraction: 16/25   Percent: 64%

55%  Fraction: 11/20    Decimal: 0.55

0.16    Fraction: 4/25           Percent: 16%

17/100  Decimal: 0.17            Percent: 17%

0.35       Fraction: 7/20        Percent: 35%

28%     Fraction: 7/25          Decimal: 0.28

62.5%    Fraction:  5/8          Decimal: 0.625

Step-by-step explanation:

I need explanation + answer.
Do not write the answer without explanation, please.
thanks in advance!

Answers

Answer:

C. 22,400.

Step-by-step explanation:

62.9% = 0.629 as a decimal fraction.

Total number of employees in small businesses in the county

= 270 * 132.

So the estimated number with less than $1000 savings

= 270 * 132 * 0.629

= 22,417.

Today only, a suit is being sold at a 15% discount. The sale price is $391.
What was the price yesterday?

Answers

Answer:

$460.

Step-by-step explanation:

[tex]Percentage\ change = (\frac{Original\ Price\ - Discounted\ Price}{Original\ Price})100\\\\15=(\frac{x-391}{x})100\\\\15x=(x-391)100 \\\\15x/100=x-391\\0.15x=x-391\\391=x-0.15x\\391=0.85x\\391/0.85=x\\460=x\\[/tex]

So the price yesterday was $460

A satellite orbiting Earth has a period of 21 hours when its average distance is 3.8 × 107 m. Find the orbital period of a satellite when the average distance is 5.1 × 107 m. Use the law stating that the square of the time of orbit varies directly with the average radius cubed.

Answers

Answer:

hertygvgjsagjkefhuufcbfssdvmyjkixewd

PLEASE ANSWER RIGHT AWQY I WILL MARK YOU BRAINLIEST!!

Answers

What is your question?

Ellen takes a multiple-choice quiz that has 4 questions, with 3 answer choices for each question. What is the probability that she will get exactly 1 answer correct by guessing? Probabilities should be entered as fractions in simplest form, decimals rounded to the nearest thousandth, or percents rounded to the nearest tenth.

Answers

Answer: The probability is  32/81, or  0.395 in decimal form

Step-by-step explanation:

Each question has 3 answers.

one of the answers is correct, and 2 are incorrect.

Then the probability of selecting at random the correct answer, is equal to the quotient between the number of correct answers and the total number of answers, this is:

p = 1/3.

Then the probability of answering wrong is:

q = 1 - 1/3 = 2/3.

Now, we want to find the probability of answering exactly one question correctly.

Let's suppose that Ellen answers correctly the first question, and incorrectly the other 3.

then we have the probability 1/3 one time, and the probability 2/3 3 times.

And as we know, the joint probability will be equal to the product of the individual probabilities, this is:

P = (1/3)*(2/3)*(2/3)*(2/3).

But this is for the case where only the first one is answered correctly, we also have the cases where:

the 2nd is the only one answered correctly

the 3rd is the only one answered correctly

the 4th is the only one answered correctly.

Then we have 4 permutations, which means that the actual probability of answering only on question correctly is:

P' = 4*P = 4*(1/3)*(2/3)*(2/3)*(2/3) = (4*2*2*2)/(3*3*3*3) = 32/81 = 0.395

Can somebody plz help answer both questions correct (only if u know how)

WILL MARK BRAINLIEST WHOEVER ANSWERS THEM FIRST.. promise :DD

Answers

divide the fraction like 4/5 and I'll give you decimal form and you could tell which one was bigger very quickly

1 3/8 ÷ 1 2/3
quotient in lowest terms

Answers

Answer:

=33/40

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

118÷53

Applying the fractions formula for division,

=11×38×5

=33/40

=33/40

I have the same question and I like ur user

For the picture I think you can zoom in to see it more clearly.

Answers

Answer:

y=15x

Step-by-step explanation:

YEPP PRETTY CONFIDENT IN THE ANSWER

9514 1404 393

Answer:

  s = 15w

Step-by-step explanation:

The problem statement tells you the dependent variable is s, and the independent variable is w. Unfortunately, the graph axes are labeled y and x instead of s and w. The line on the graph has a "y-intercept" of 0 and a rise/run of 30/2 = 15.

The equation asked for is ...

  s = 15w

Which of the following equations is equivalent to 4x -y=3`?

Answers

Answer:

x-intercept = (3/4,0)

y'intercept = (0,-3)

Step-by-step explanation:

Not sure what conversion you need but here are the intercepts

what’s the hypotenuse of c ?

Answers

Answer:

it would be A 160

Step-by-step explanation:

4 square plus + 12 square = 16+144=160

Heather purchased a sapphire bracelet during the Jewelry Emporium's Semi-Annual Clearance Sale. If Heather paid $149.50 for the bracelet and the original price is $230.00, how much of a discount did she receive?
A.
35%
B.
30%
C.
45%
D.
65%

Answers

She received a 35% discount (A).

230 * 0.35 = 80.5
230 - 80.5 = 149.50, true
By guess and check, it’s A

Solution: A

SIMPLE QUESTION
Evaluate:
(square root of 99 - square root of 11)^2

Answers

Answer:

44

Step-by-step explanation:

[tex] (\sqrt{99} - \sqrt{11})^2 =  [/tex]

[tex] = (\sqrt{9 \times 11} - \sqrt{11})^2 [/tex]

[tex] = (3\sqrt{11} - \sqrt{11})^2 [/tex]

[tex] = (2\sqrt{11})^2 [/tex]

[tex] = 2^2 \times (\sqrt{11})^2 [/tex]

[tex] = 4 \times 11 [/tex]

[tex] = 44 [/tex]

Answer: 44

how many solutions does the equation 2(9x-6)=18x+2 have??? Please help

Answers

Answer:

x=5.889

Step-by-step explanation:

2(9x6)=18x+2

108=18x+2

106=18x

x=106÷18

x=5.888888889

Rewrite y - 3 = 4(x + 2) in slope intercept form. Type in your answer without using any spaces. Example: y=-3/4x+12

Answers

Answer:

y=4x+11

Step-by-step explanation:

Answer:

y=4x+11

Step-by-step explanation:

y - 3 = 4(x + 2)

=

y - 3 =4x + 8

=

y - 3 (+3) = 4x + 8 (+3)

=

y=4x+11

A dog eats 7 oz. Of dog food in 20 minutes. At this rate, how much food can the dog eat in 2 hours?​

Answers

Answer:

bts

Step-by-step explanation:

BTSSS SSSSSSSTU6T

The dog can eat 42 oz. in 2 hours. You simply find the hourly rate, which is 21 and multiply it by 2

PLEAAseeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

[tex]1.25\cdot10^{5}[/tex] [tex]or[/tex] [tex]125000[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]1)[/tex] [tex]64\cdot10^{6}[/tex] = [tex]64000000[/tex]

[tex]2 )[/tex] [tex]32\cdot10^{6}[/tex] = [tex]32000000[/tex]

[tex]3)[/tex] [tex]16\cdot10^{6}[/tex] = [tex]16000000[/tex]

[tex]4)[/tex] [tex]8\cdot10^{6}[/tex] = [tex]8000000[/tex]

[tex]5)[/tex] [tex]4\cdot10^{6}[/tex] = [tex]4000000[/tex]

[tex]6)[/tex] [tex]2\cdot10^{6}[/tex] = [tex]2000000[/tex]

[tex]7)[/tex] [tex]1\cdot10^{6}[/tex] = [tex]1000000[/tex]

[tex]8)[/tex] [tex]5\cdot10^{5}[/tex] = [tex]500000[/tex]

[tex]9)[/tex] [tex]2.5\cdot10^{5}[/tex] = [tex]250000[/tex]

[tex]10)[/tex] [tex]1.25\cdot10^{5}[/tex] = [tex]125000[/tex]

[tex]--------------------------------------------[/tex]

The way I solved this question was by dividing each scientific form by two.

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

if dan was 4 years old 18 years ago, how old will he be 16 years from now?

Answers

Answer:

4+18 = 22 thats now in 16  years would be 38 years old

Step-by-step explanation:

Is this correct? I’m too tired and confused to understand this..

Answers

Answer:

yes

Step-by-step explanation:

I think ur right because ur smart :)

Answer:

yeah lol

Step-by-step explanation:

Did I do this right???!

Answers

Answer:

idrk

Step-by-step explanation:

Yes you did! Keep it up

!!! Answer fasttttt plzzz!!!!!!! Will give 20 points and Brainlyest!!!! Which division problem does the number line below best illustrate?

Answers

Answer:

10/2

Step-by-step explanation:

first 10/2=5

you divide 10 into 2 until you get 5 of such groups

Suppose that an object is dropped from a height of h meters and hits the ground with a velocity of v meters per second. Then v = 19.6h. If an object is
dropped from a height of 35.9 meters, with what velocity does it hit the ground?
Round your answer to the nearest tenth.

Answers

Answer:

The object hits the ground with a velocity of 703.6 m/s.

Step-by-step explanation:

Evaluating Functions

The function that relates the velocity v in meters by second with the height h in meters an object was dropped from is:

v = 19.6h

We are required to evaluate the function above if we know the object was dropped from a height of h=35.9 meters.

Substituting in the equation:

v = 19.6*35.9

v = 703.64 m/s

Rounding to the nearest tenth:

The object hits the ground with a velocity of 703.6 m/s.

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