In a lab experiment, the decay of a radioactive isotope is being observed. At the
beginning of the first day of the experiment the mass of the substance was 500 grams
and mass was decreasing by 9% per day. Determine the mass of the radioactive
sample at the beginning of the 17th day of the experiment. Round to the nearest tenth
(if necessary).

Answers

Answer 1

Answer:

Approximately 110.6 grams remain at the beginning of the 17th day.

Step-by-step explanation:

At the beginning of the first day, the mass of the substance was 500 grams.

It decreases by 9% per day.

And we want to determine the mass of the sample at the beginning of the 17th day.

First, we need to find our ratio of decay. Since it decreases by 9% or 0.09 each day, the mass of the substance after each subsequent day will be 100% - 9% or 1 - 0.09 or 0.91 of the previous day.

We can write a exponential function to model this. An exponential function has the form:

[tex]f(x)=ar^x[/tex]

Where a is the initial term and r is the rate.

Let x represent the number of days after the first day. Substitute 500 for a and 0.91 for r:

[tex]f(x)=500(0.91)^x[/tex]

The 17th day is 16 days after the first day. So, the amount of mass remaining on the beginning of the 17th day is when x = 16. Substitute:

[tex]f(x)=500(0.91)^{16}[/tex]

Approximate. Therefore:

[tex]f(x)\approx110.6\text{ grams}[/tex]

Approximately 110.6 grams remain at the beginning of the 17th day.


Related Questions

help pls what is 10,000 - 9,745 = ​

Answers

Answer:

10,000 - 9,745 = 255

Step-by-step explanation:

UwU Hope that helps

Answer: 255

→Hope this helps!←

write the following comparison as a ratio reduced to lowest terms.


40 nickels to 50 dimes​

Answers

Answer:

2.5 : 2

Step-by-step explanation:

Answer:

$2 : $5

Step-by-step explanation:

40 nickels = $2

50 dimes = $5

how many distinct prime divisors does 132660 have

please help!!!1

Answers

Answer:

6?

Step-by-step explanation:

50 POINTS!! WILL MARK BRAINLIEST!!! Is ΔP'Q'R' a 180° rotation about the origin of ΔPQR? Use the drop-down menus to explain your answer.

Answers

Answer:

No that would be a 90 degree

Step-by-step explanation:

solve for x i’ll give brainlest to the right answer

Answers

Answer:

value of x is 11

Step-by-step explanation:

hope it helped!!!

How many points of intersection do the graphs of these two equations have [2x+3y=7 4x+6y=14

Answers

Answer:

infinitely many they are the same line

Step-by-step explanation:

A pool can be filled by one pipe in 6 hours and by a second in 12 hours . How long will it take using both pipes to fill the pool?

Answers

One pipe = 1/6 of the pool in one hour
Second pipe = 1/12 of the pool in one hour
Let x be the time
Make them equal to 1 (total of pool)
1/6(x) + 1/12(x) = 1
Make non fraction by multiplying by 12
2x + 1x = 12
3x = 12, x = 4
It would take 4 hours

Answer:

4 hours

Step-by-step explanation:

Part of the pool filled by first pipe in an hour = 1/6

Part of the pool filled by second pipe in an hour = 1/12

Part of the pool filled by first pipe and second pipe in an hour = 1/6 +1/12

             [tex]=\frac{1*2}{6*2}+\frac{1}{12}\\= \frac{2}{12}+\frac{1}{12}\\\\=\frac{3}{12}\\\\=\frac{1}{4}[/tex]

Time taken by both the pipes to fill the pool = 4 hours

What is the area of the real object that the scale drawing models?
Scale factor: 1:3
Area =
40 square cm

Answers

Answer:120 square cm

Step-by-step explanation:

40 x 3

Dave is splitting 3 quarts of ice cream with 9 members of the team. If the ice cream is split​ evenly, how many cups will each person​ get?

Answers

each person will get 1 and 1/3 cups of ice cream

Answer:

Its will be 27 if we are multiplying

Step-by-step explanation:

But I don't think so but if u look up 3 quarts to 9 it will be 4.75 so yea HOPE THIS HELPS!

Find the area of the shape below.

Answers

Answer:

The is 5000 centimeters^2??

Which is the following statements CANNOT be true?

Answers

B it is the middle so midpoint

Midpoint, as the word suggests, means the point which lies in the middle of something. The correct option is C. P cannot be the midpoint.

What does a midpoint mean?

Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point which lies in the mid of the given line segment.


Since EN≅NG, therefore, the length of the two segments will be equal, which means P can not be the midpoint of the line segment EG.

Hence, the correct option is C. P cannot be the midpoint.

Learn more about Midpoint:

https://brainly.com/question/5127660

#SPJ2

The circle graph shows Lenora's activities
during 10 hours at school.
School Activities
Homeroom 7.5%
Newspaper
7.5%
Gym
10.0%
Academic
Classes
50.0%
Lunch 5.0%
Softball
Practice
20.0%
How many more hours does she spend at
softball practice than in homeroom?

Answers

Answer:

60.0 I think

Answer:

1.25 hours or 1 hour and 15 minutes

Step-by-step explanation:

The difference in time % softball practice than in homeroom:

20% - 7.5% = 12.5%

Convert the difference into hours:

12.5*10/100 = 1.25 hours or 1 hour and 15 minutes

please help me fast please
leo has 1 1/3 cups of sugar. He uses 3/4 cups of sugar in a recipe. How much sugar does leo have left

how do I show my work? ​

Answers

Answer:

The answer is B 7/12

I attached a picture for your work.


It cost Andrew $21 to buy 7 binders. At this price, how much would it cost him to buy 4 binders?

Answers

21/7=3 so 3$ * 4 binders would equal $12
$21/7=$3, to find the price of 1 binder
4*$3=$12, gives the price of 4

15 cm
6 cm
The length is
meters, the width is
meters, and the area is
square meters.

Answers

Answer:

90????? There is not a lot of context. 90 is the area

ILL GIVE THE BRAINLIEST pls help me with this question EVERYTHING IS IN THE PICTURE PLS HELP DUE TODAY ​​IF YOU PUT A WRONG ANSWER ILL REPORT YOU FASTER THAN ASSIGMENT IS DUE ​​​

Answers

Answer:  the correct answer should be 160 but you said that didnt work so try 480

Step-by-step explanation:  

I just did base times Hight 8*10 which is 80*6=480

hoped this helps:))

Answer:

80

Step-by-step explanation:

V= Bh/3

Area of base= (L × W) ÷2

(8×6)÷2 = 24

Multiply by height

24×10=240

Divide by 3 (since its a pyramid therefore has 3 sides)

240/3=80

80 is your answer

The census is a survey of the population that gathers various details about individuals, such as age. This survey observed
that 155 out of every 200 people were 18 years old or older, Determine the probability of randomly selecting a person that
was 18 years old or older,
Express your answer as a fraction,

Answers

Answer:

31/40

Step-by-step explanation:

Just simplify the fraction

Answer:

31/40

Step-by-step explanation:

Simplify

How many more sides does a quadrilateral have than a triangle?

Answers

Answer:

1

Step-by-step explanation:

Quadrilateral=4sides

Triangle=3sides

Difference=4-3=1

Write down the next two terms into the given sequence :
-1; 1; 3 ;​

Answers

Answer:

5 ;7

explantion:

-1+2=1

1+2=3

3+2=5

5+2=7

the pattern is +2

Naomi receives a base weekly salary of $225 plus a commission of $50 for each cable service
contract she gets signed. A 6% tax is taken out of each paycheck she receives. If Naomi had
9 new clients sign contracts during her last 2-week pay period, how much money in taxes
should she expect to be taken out?

Answers

Answer:

$40.50 will be taken out in taxes.

Step-by-step explanation:

First, solve for how much Naomi will receive in a paycheck:

$225 + $50(9)

$225 + $450

$675

Now, solve for 6% tax:

$675 × 0.06

$40.50

What is the distance between the points (-4 , -12) and (-4 , 20) in the coordinate plane?

Answers

Answer:

26 units i think

Step-by-step explanation:

Answer:

32 units

Step-by-step explanation:

from -12 to 0 it is 12 units, and from 0 to 20 it is 20 units.

12 + 20 = 32 units

The measure of angle ABC is 84, find the measure of angle ADC.

Answers

Answer:

Step-by-step explanation:

uhhh i think so its 84 is abc but adc is missing try 48  i dont know but i try

A child tosses a baseball up into the air. On its way down, it gets caught in a tree for several seconds before falling back down to the ground.

Answers

Answer:

what is the question because I don't understand what you mean

Put the known terms together on one o
equation.
Example: 3x + 6 = 30
3x = 30 - 6
1. 2b10 =12
2.8 + 5x = 41
3 6 - 42 = 12.
4. 3n = 60 +n
5. 7a+ 5 = 54
ale
ACTIVITY 2:
Solve and check. Show your complete solutions.
1. x+ 5 = 2
2 X – 10 = 22
3. 41 + 3x = -29-18
4. x-27 = 8 + 10
5. 5x + (-55) = 20
ACTIVITY 3:
Solve each problem. Show your solution.
1. What is the number if twice a number is increased by 9
2. If twelve less than a thrice a number is 3, what is the n​

Answers

The answer for your question is 4.5 and 7.5

Geometry Question! WORTH 20 POINTS

Answers

Answer:

x = 65

Explanation:

A whole circle equals 360*

half of that is 180*

180 - 115 = 65

Simplify 16m6-15mn+m6+17mn​

Answers

Answer:

[tex]17m^6 + 2mn[/tex]

Step-by-step explanation:

[tex]16m^6 -15mn +m^6 + 17mn[/tex]

Combine like terms, rewrite the equation and perform the operations between the coefficients,

[tex]16m^6 +m^6 -15mn+17mn[/tex]

[tex]17m^6 + 2mn[/tex]

I got the final answer :

2mn + 17m^6

Tivo families planned to go to the zoo. The entry ticket for one adult was $7.31 and
the entry ticket for one child was $5.66. There were two adults in the group. The
families intend to spend no more than $46.00. What is the greatest number of child
tickets that can be purchased?

Answers

Answer:

5 children

Step-by-step explanation:

Solve

$7.31 x2 = $14.62

$46 - 14.62 =$32

5.66 divided by 5 = 28.3

5.66 divided by 6 = 33

$33 is bigger than $31

Therefore, the greatest number of children tickets can be purchased is only 5.

Mihai a măsurat cu pasul său latura unui lot de pământ de forma unui pătrat
şi a constatat că ea cuprinde 93 de paşi. Care este lungimea gardului care
împrejmuieşte lotul dacă Mihai, făcând 3 paşi, parcurge exact 2 m?

Answers

Răspuns:

63 metri.

Explicație pas cu pas:

Dat fiind :

Numărul de pași parcurși = 93

3 pași făcuți de Mihai = 2m

Prin urmare, 93 de pași sunt echivalenți cu:

(93 ÷ 3) * 2m

31 * 2 = 63 m

Prin urmare, lungimea laterală a parcelei pătrate = 63 m

Prin urmare, lungimea gardului care împrejmuiește lotul pătrat = 63m

If oranges are on sale for $7.27 for 5 lbs, how much would it cost you to buy 2 lbs of
oranges?

Answers

$2:91 cents that’s how much it would cost

a car is moving 70 miles per hour. how far does it travel in 16 seconds

Answer is what in miles

PLEASE HELP ME!!!!

Answers

Answer:

0.311 miles

Step-by-step explanation:

Convert 16 seconds to hours :

16 /60×60

= 16÷3600

= .004444hrs

Distance = Speed × time

= 70 × 0.00444444

= 0.311 miles

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