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

Which is an equation of the line that passes through (0, -3) and is perpendicular to the graph of the line y=2x-3?

Answers

Answer:

D

Step-by-step explanation:

perpendicular to 2 =x is -1/2x, and (0,-3) just happens to be on the y intercept so its -1/2x - 3

Convert the Following: 5.4 oz=__________ mg

Answers

Answer:

153087 mg

Step-by-step explanation:

a fraction is shown 5/9 which number equivalent to the fraction

Answers

Answer:

10/18 or 25/45

Step-by-step explanation

When two people play a game, each player starts with 10 points. The winner of each round gets 3 points and the loser of each round loses 3 points. William and Abigail play the game. William wins exactly four rounds, and Abigail ends up with16 points. How many rounds did they play altogether?

Answers

10 rounds
After losing 4 rounds, Abigail’s score would have been -2, to reach 16 points she would’ve needed 6 wins, add that to William’s 4 wins and you get 10 rounds

can someone help me !

Answers

Answer:

x = 20

Step-by-step explanation:

65 - 5 = 60

60 ÷ 3 = 20

so x equals 20

Find the value of r so the line that passes through each pair of points has the given slope.
(r,3), (5,9), m = 2

Will give brainillest if you show work thank you

Answers

(X-x0)m=y-y0

(X-5)2=y-9

2x-10=y-9

2x-1=y

Substitute (r,3) in the equation

2(r)-1=3

2r=4

R=2

Solve. Please show work and explain your steps. Do not just post your answer
Put your answer as a mixed number and/ or simplified fraction.
(1) 4 x 3/7 = ?
(2) 2/9 x 3/5 = ?

Answers

Answer:

1. 1 5/7

2. 2/15

Step-by-step explanation:

1. 4/1 × 3/7= 4 times 3, 1 times 7 = 12= 1 5/7

2. 2/9 × 3/5= 2 times 3, 9 times 5= 6/45= 2/15

For construction of a unique quadrilateral at least _____measurements are required.

Answers

Answer:

Five

Step-by-step explanation:

As we know that quadrilateral contains 10 elements that involves 4 sides, 4 angles, and 2 diagonals. It cannot be drawn by four elements at least it required minimum 5 elements.

So as per the given statement, it is required to construct a unique quadrilateral for minimum 5 elements measurements

Hence, the same is to be considered

Math
A shirt costs $24.99. After using a gift card as a partial payment, you still
owe $9.99. What is the value of the gift card?
Your answer

Answers

Answer:

15

Step-by-step explanation:

Answer:

yes the answer Is A

Step-by-step explanation:

all you have to do is add and subtract

A man bikes at a rate that is 6 miles/hour faster than the rate at which he jogs. After 30 minutes jogging and 90 minutes biking, the man has covered 21 miles. Over what distance was the man jogging?

Answers

Answer:

30

Step-by-step explanation:

i hope this helped and i am pretty sure this is correct!

Subtract.

(29v)−(−13v+59)

Answers

Answer:

(29v)−(−13v+59)

29v + 13v - 59

42v -59

Answer:

42v-59

Step-by-step explanation:

(29v)+13v-59     In this step we first simplify

42v-59              Add like numbers (v)

How do I find the value of X?

Answers

ok so the first think you would do is add 55 and 59 which equals 114. then you would do 180-114 which equals 66. your missing angle or x= 66
hope that helps :3

Can someone help please? i’ll give you brainliest, sorry if it’s hard to see

Answers

1/4 and 4

Step-by-step explanation:

small to large: 2/8 =1/4

large to small: 8/2 =4

Answer: 2x4=8 , 16x8=128

128x8=1024

Step-by-step explanation: hope I help with your problems and sorry if it wrong

What is the value of the sin3x/6x; as x approaches to zero

Answers

Step-by-step explanation:

When x = 0,

sin3x / 6x = 0 / 0, which is an indeterminate form.

Hence we use L'Hospital's rule:

d/dx (sin3x) = 3cos3x

d/dx (6x) = 6

Now we have 3cos3x / 6 or 0.5cos3x.

When x = 0, 0.5cos3x = 0.5(1) = 0.5.

Hence the limit is 0.5.

Using limits, it is found that the value of the function is of 0.5.

The limit given is:

[tex]\lim_{x \rightarrow 0} \frac{\sin{(3x)}}{6x}[/tex]

The following property is used:

[tex]\lim_{x \rightarrow 0} \frac{\sin{(ax)}}{ax} = 1[/tex]

Hence, multiplying the numerator and denominator by 0.5:

[tex]\lim_{x \rightarrow 0} \frac{\sin{(3x)}}{6x} = 0.5\lim_{x \rightarrow 0} \frac{\sin{(3x)}}{3x} = 0.5(1) = 0.5[/tex]

The value of the function is of 0.5.

To learn more about limits, you can take a look at https://brainly.com/question/24482719

PLEASE HELP MEEEEE IM DESPRATE T^T

Answers

Answer:

Step-by-step explanation:

we need to know how much 1 sock costs so lets do it: 5.79 divided by 12 is 0.4575

One sock costs 0.479.

Hope this helps <3

What is the radius of the base of the cylinder below?

A cylinder with height of 36 inches and diameter of 42 inches.

inches

Answers

Answer:

21

Step-by-step explanation:

X+19=-9
pls help!! algebratic equations

Answers

Answer:

x=-28

Step-by-step explanation:

Subtract 19 from both sides.

-9 -19 = -28

Answer:

-28

Step-by-step explanation:

you need to get x by itself, so subtract 19 on each side. -9-19= -28

Which ratio is equivalent to 5:9?
9:45
25:81
27:15
30:54

Answers

sorry but none are correct

Answer:

The Answer is D 30:54

Step-by-step explanation:

5 times 6 is 30 and 6 times 9 is 54

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

Choose the graph below that correctly represents the equation 3x + 9y = −18. (5 points)

the line through the points negative 6 comma 0 and 0 comma 2
the line through the points negative 6 comma 0 and 0 comma negative 2
the line through the points negative 2 comma 0 and 0 comma 6
the line through the points negative 2 comma 0 and 0 comma negative 6

Answers

Answer:

the line through the points negative 6 comma 0 and 0 comma negative 2

Step-by-step explanation:

Rewrite the equation to something you are familiar with such as the slope intercept form; y = mx + b. This means you need to solve for y.

3x + 9y = -18 --- divide everything by 3.

x + 3y = -6

3y = -6 - x

y = -2 - 1/3x

your slope is -1/3 and your y intercept is - 2.

remember, y-intercept is when x = 0. therefore, when x = 0, y = -2.

write as an ordered pair (0, -2). the only option that has (0, -2) is the second one.

Therefore, the line through the points negative 6 comma 0 and 0 comma negative 2.

What is 9m + 6 = 87
please help im desperate fwhe

Answers

Answer:

m=9

Step-by-step explanation:

9m=81

Answer:

9

Step-by-step explanation:

First you have to get the variable by its self (m). So you will get rid of 6 and since it’s positive you will do negative 6 to cancel it out. But what you do to one side you do to the other, so you will do 87 - 6 and get 81. Now it’s 9m = 81. So then since 9 is next to m that implies multiplcation so you do the opposite of multiplication and dived 9 by both sides. And when you do that you get 9.

HELP ME 50 POINTS RN.

Answers

Answer:

the last one. hope I help u

Answer:

S<30

need explain that?

Two step problem: Aaron can type 40 words per minute. Jessica can type 55 words per minute. If Aaron and Jessica each type for 30 minutes, how many more words will Jessica type than Aaron?

Answers

Answer:

Step-by-step explanation:

Aaron types 40 wpm times 30 minutes = 1200 wpm.

Jessica types 55 wpm times 30 minutes = 1650 wpm.

Jessica’s types 450 more words per minute than Aaron.

A= 450 more than Aaron

what is 7.0893 as a decimal but in expanded form​

Answers

Answer:

expanded form: 7+0.08+0.009+0.0003

Step-by-step explanation:

7 = the ones place

0.08 = hundredths place

0.009 = thousandths place

0.0003= ten thousandths place

Which statement best describes the function?

Answers

Answer:

A.) The function is Nonlinear

Step-by-step explanation:

a function is a bunch of ordered pairs of things (in our case the things will be numbers, but they can be otherwise), with the property that the first members of the pairs are all different from one another. A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type. It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2. Functions are used because of following reasons – a) To improve the readability of code. b) Improves the reusability of the code, same function can be used in any program rather than writing the same code from scratch. c) Debugging of the code would be easier if you use functions, as errors are easy to be traced. In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many other scientists because most systems are inherently nonlinear in nature. Material nonlinearity involves the nonlinear behavior of a material based on a current deformation, deformation history, rate of deformation, temperature, pressure, and so on. Examples of nonlinear material models are large strain (visco) elasto-plasticity and hyperelasticity (rubber and plastic materials). also nonlinear. adjective. If you describe something as non-linear, you mean that it does not progress or develop smoothly from one stage to the next in a logical way. Instead, it makes sudden changes, or seems to develop in different directions at the same time.

Example: Solve the linear equation 3x+9 = 2x + 18.

Example: Solve the nonlinear equation x+2y = 1 and x = y.

.....................​

Answers

Answer:

...?

Step-by-step explanation:

The number of people call 911 on March 25th?
A) continuous
B) discrete
C) categorical

Answers

Answer:

I think the answer is continuous hope this helps

Step-by-step explanation:

Also got subscribe to my YT channel BlxeVxbes

Can somebody plz answer this word question correctly thanks

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST! :DD

Answers

Answer:

i think its 1.6-

Step-by-step explanation: science

Answer:

60%

Step-by-step explanation:

Percentage of money saved by Ovide = [tex]\frac{9}{15} * 100 = \frac{3}{5}*100[/tex]

                                                                = 3 * 20

                                                                = 60%

What additional information could be used to prove ΔABC ≅ ΔMQR using SAS? Select two options. m∠A = 64° and AB = MQ = 31 cm CB = MQ = 29 cm m∠Q = 56° and CB ≅ RQ m∠R = 60° and AB ≅ MQ AB = QR = 31 cm

Answers

Answer:

m∠R = 60° and AB ≅ MQ

m∠Q = 56° and CB ≅ RQ

Step-by-step explanation:

Given data :

Prove ΔABC ≅ ΔMQR using SAS

The  missing information to prove ΔABC ≅ ΔMQR using SAS

m∠R = 60° and AB ≅ MQm∠Q = 56° and CB ≅ RQ

Answer:

C. m∠R = 60° and AB ≅ MQ

D. m∠Q = 56° and CB ≅ RQ

May I have brainliest please? :)

Divide the fractions: Leave the answer as an improper fraction

1/5 divided by 2/11

Answers

Answer:

The an

Step-by-step explanation:

Answer:

11/4

Step-by-step explanation:

reciprocal methodchange the operation to multiplicationmultiplyreduce/simplify the fraction if needed (if the fraction is already reduced you don't have to reduce it)

 1           2

___  ÷  ___

 2          11

          1           11

___  ÷  ___

         2           2

         1          11        11

___  × ___ = ___

         2          2        4

since 11/4 is already in a simplified/reduced form we don't need to reduce it or anything.

FINAL ANSWER: 11/4

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