A radioactive substance decays exponentially. A scientist begins with 190 milligrams of a radioactive substance. After 19 hours, 95 mg of the substance remains. How many milligrams will remain after 36 hours?

Answers

Answer 1

Answer:

  51 milligrams

Step-by-step explanation:

Exponential growth or decay can be modeled by the equation ...

  y = a·b^(x/c)

where 'a' is the initial value, 'b' is the "growth factor", and 'c' is the time period over which that growth factor applies. The time period units for 'c' and x need to be the same.

In this problem, we're told the initial value is a = 190 mg, and the value decays to 95 mg in 19 hours. This tells us the "growth factor" is ...

  b = 95/190 = 1/2

  c = 19 hours

Then, for x in hours the remaining amount can be modeled by ...

  y = 190·(1/2)^(x/19)

__

After 36 hours, we have x=36, so the remaining amount is ...

  y = 190·(1/2)^(36/19) ≈ 51.095 . . . . milligrams

About 51 mg will remain after 36 hours.


Related Questions

Evaluate, show your steps tysm :)
~giving brainliest~

Answers

Answer:

-9/25

Step-by-step explanation:

-1^10 = -1

since (-1)(-1)(-1)(-1)(-1)(-1)(-1)(-1)(-1)(-1) = -1

Anything to the power of 0 is 1 so -22^0 = 1

Now our equation is -1 + 1 -(3/5)^2

Simplifying this:

0 -9/25 =

-9/25

Answer:

in fraction: 41/25

= 1.64

Step-by-step explanation:

[tex](-1)^{10} =1[/tex]

[tex](-22)^{0} =1[/tex]

[tex](\frac{3}{5} )^{2} =\frac{9}{25}[/tex]

Then

[tex]1+1-\frac{9}{25} =2-\frac{9}{25} =\frac{50}{25} -\frac{9}{25} =\frac{41}{25}[/tex]

decimal: 1.64

Hope this helps

There are 6 people on the ballot for regional judges. Voters can vote for any 4. Voters can
choose to vote for 0, 1, 2, 3, or 4 judges. In how many different ways can a person vote?

A. 57
B. 5
C. 15
D. 6

Answers

Answer:

The answer is five.

Step-by-step explanation:

A person has only 5 options., as stated in the question.

0
1
2
3
4

That means that one person can vote 5 different ways.

rosa makes a small flower garden outside the clubhouse the area of the garden is 852 square meters if the length of the garden is 6 meters what is the width of the garden

Answers

Answer:

142 meters.

Step-by-step explanation:

Area can be found by multiplying length*width.  This means that if you have an area, but no width, you can divide the area by the length, or vice versa.  To get the answer, you divide 852/6 to get 142.

a recipe for 5 people calls for 1.5 kg of meat. How much meat is required if the receipe is adapted to feed 8 people​

Answers

Answer:

2.4 kg

Step-by-step explanation:

1.5 divided by 5 is 0.3 and 0.3 multiplied by 8 is 2.4

One of the legs of a right triangle measures 5 cm and the other leg measures 11 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:

c = 12.1 cm

Step-by-step explanation:

For this question, use the Pythagorean theorem.

a^2 + b^2 = c^2

Where a and b are the triangle's legs, and c is the hypotenuse.

(It doesn't matter what values you use for each for a and b)

a = 5 cm

b = 11 cm

c = ?

5^2 + 11^2 = c^2

25 + 121 = c^2

146 = c^2

square root both sides

√146 = √c^2

c = 12.08304 cm

But we need to the neasrest tenth then....

c = 12.1 cm

Given the data presented in the bar graph, which age group represents 25% of the people at the family reunion?
A) 10-19
B) 20-29
C) 30-39
D) 50-59

Answers

The age group that represents 25% of the people at the family reunion as displayed by the bar graph is: B. 20 - 29.

What is a Bar Graph?

A bar graph can be described as a graphical representation of a data distribution usin bars/bins to display the frequency of a group or data points.

First, find the total number of people at the family reunion:

Total number of people = 8 + 10 + 19 + 15 + 5 + 13 + 3 + 5 = 78 people.

25% of 79 = 25/100 × 78 = 19.5

19.5 is closer to 19.

People in the age group 20 - 29 from the bar graph represents 19 people, therefore, the age group that represents 25% of the people at the family reunion as displayed by the bar graph is: B. 20 - 29.

Learn more about bar graph on:

https://brainly.com/question/25718527

Answer: B

Step-by-step explanation: I took the test in K12

DRAW a model of 1/2 ÷ 4 if i see a link im going to report

Answers

Answer:

1/8

Step-by-step explanation:

Solve for y.
-3y + 7 = 34
What does y equal?

Answers

Answer:

y = -9

Step-by-step explanation:

-3y + 7 = 34

-3y = 34 - 7

-3y = 27

3y = -27

y = (-27)/3

y = -9

Which set shows an average of 4?
A) A
B) B
C) A and B
D) none of the above

Answers

Answer:

B

Step-by-step explanation:

A) 1 + 1 + 1 + 1 = 4

4 / 4 = 1

B) 4 + 4 = 8

8 / 2 = 4

Answer: B

Step-by-step explanation:

A clothing business finds there is a linear relationship between the number of shirts, n, it can sell and the price,p, it can charge per shirt. In particular, historical data shows that 1000 shirts can be sold at a price of $11, while 2000 shirts can be sold at a price of $2. Give a linear equation in the form p mn + b that gives the price p they can charge for n shirts. Answer: p = Round the value of your slope to three decimal places. Be careful to use the proper variable and use the Preview button to check your syntax before you submit your answer.​

Answers

The required  linear equation in the form p = mn + b is y = -0.009n + 20

Linear form of a function

The formula for calculating the linear form of a function is expressed as:

y = mx + b

From the given question

n is the number of shirts p is the price

The price and number of shirts can be written in the form (n, p)

The two coordinates required are (1000, 11) and (2000, 2)

Slope  = 2-11/2000-1000
Slope = -9/1000
Slope = -0.009

For the intercept "b"

2 = -0.009(2000) + b

b = 20

The required  linear equation in the form p = mn + b is y = -0.009n + 20

Learn more on linear function here: https://brainly.com/question/15602982

(+1) + (-5) - (+5) + (+9)

Answers

Answer:

The answer is 0

Hope that helps!

Answer: Your answer is 0-

help step by step please!

Answers

Answer:

26 km2 (squared)

Step-by-step explanation:

Area of a triangle is H × B ÷ 2

= 6.5 × 8 ÷ 2

= 52 ÷ 2

= 26 km2 (squared)

Answer the questions below about the quadratic function. g(x)=-2x^2+16x-31

Answers

Answer:

Hope it helps!!!Brainliest pls!!!

Write a
quadratic equation for each pair
of solutions.
√200T and - √2001

Answers

Answer:

x^2 - 2001 = 0

Step-by-step explanation:

I guess you mean √2001 and -√2001

The product of the 2 solutions = -2001 and the sum is 0.

The required equation  is x^2 - 2001 = 0

solve for x : -30 < -x/4

Answers

x > 120

Step-by-step explanation:

-30 < -x / 4

-30 x 4 < -x

x > 120

Answer:

ight so first you multiply by 4 to isolate x so you get -120<-x next you divide by -1 to get the x so the answer is 120 cause a negative and a negative cancel out and turns to a positive

Step-by-step explanation:

please help the question is attached below

Answers

Step-by-step explanation:

a)

we have 400 people. that is 10/10 of the whole group.

7/10 of the whole group drink tea. that is

400 × 7/10 = 40 × 7 = 280

that leaves 3/10 of the whole group not drinking tea

400 × 3/10 = 40 × 3 = 120

from the 280 tea drinkers 20% drink at lay e cups of tea each day. that is

280 × 20/100 = 28 × 2 = 56

because 20 out of 100 is the meaning of 20%.

and the remaining 80% of the tea drinkers drink less then 3 cups each day.

280 × 80/100 = 28 × 8 = 224

b)

out of the 400 people 56 drink at least 3 cups of tea each day. that is

56/400 = 7/50

The length of the longer leg of a right triangle is 3 m more than three times the length of the shorter leg. The length of the hypotenuse is 4 m more than three times the length of the shorter leg. Find the side lengths of the triangle. Length of the shorter leg: ​

Answers

Answer:

  7 m, 24 m, 25 m

Step-by-step explanation:

This problem can be solved by writing an equation expressing the given relationships and the Pythagorean theorem. Or, it can be solved by reference to common Pythagorean triples. Here, we're interested in a triple that has a difference of 1 between the hypotenuse and the longer leg. Such triples include:

  {3, 4, 5}, {5, 12, 13}, {7, 24, 25}, {9, 40, 41}, {11, 60, 61}, ...

We note that for the triple {7, 24, 25}, the longer leg is 3 more than 3 times the shorter leg: 3 +3(7) = 24.

The side lengths are:

shorter leg: 7 mlonger leg: 24 mhypotenuse: 25 m

__

In case you're unfamiliar with Pythagorean triples, or you want to write the equation, you can let s represent the length of the shorter side. Then the longer side is (3s+3) and the hypotenuse is (3s+4). The Pythagorean theorem tells you the relation is ...

  (3s +4)² = (3s +3)² +s²

  9s² +24s +16 = 9s² +18s +9 +s²

  s² -6s -7 = 0 . . . . . subtract the left side and put in standard form

  (s -7)(s +1) = 0 . . . . factor

  s = 7  or  -1 . . . . . . solutions to the equation

The side length must be positive, so the shorter leg is 7 meters long. Then the other two legs are ...

  3s +3 = 3(7) +3 = 24 . . . . meters

  3s +4 = 3(7) +4 = 25 . . . . meters

The side lengths are 7 m, 24 m, and 25 m.

Find the distance between the points ( -22.79, 0.76) and (-12.64, 12.02)

Answers

Answer:

Step-by-step explanation:

For each pair of real numbers show that the first number is a factor of the second number?


Need help ASAP!!

Answers

Answer:

[tex]\red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}} \\ \red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}} \\ \red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}}[/tex]

Answer:

Putanginaaaaaaaaaaaaaaaaaaaaa

A nature center offers 2 guided walk. The morning walks is 2/3 miles . the evening walk is 3/6 miles. Which walk is shorter. Explain how you can use the model to find the answer

Answers

Answer:

The evening walk is shorter.

Step-by-step explanation:

There are two ways you could solve this:

Fractions:

2/3 = 4/6    4/6>3/6

Converting into Decimals:

2/3=0.67

3/6=0.5

2/3>3/6

I hope this helps.

Tadeo is a beekeeper. The table shows the weekly number of bees producing honey in a new hive. Which expression gives the number of bees in week 12?​

Answers

The exponential equation that gives the number of bees in week 12 is of:

[tex]y = 4(3)^{11} = 708588[/tex]

What is an exponential function?

It is modeled by:

[tex]y = ab^x[/tex]

In which:

a is the initial value.b is the rate of change.

In this problem, considering that the initial week is the first, and the value triples every week, the expression for the number of bees after x weeks is given by:

[tex]y = 4(3)^{x - 1}[/tex]

Hence, after 12 weeks, the expression is:

[tex]y = 4(3)^{11} = 708588[/tex]

More can be learned about exponential equations at https://brainly.com/question/25537936

Answer:

4 • 3^11

Step-by-step explanation:

Caden deposited $300 into a checking account. Each week he withdraws $12 from his account.
a) Write an equation to describe this sequence.
b) How many weeks can Caden go before he runs out of money?

Answers

Answer:

B i had this text and made a 100

Step-by-step explanation:

b

John's employer increased his annual salary of $55,000 by $5,700. What percent was his raise, rounded to the nearest tenths place?

Answers

Answer:

3.64% (when rounded to the nearest hundredth)

Step-by-step explanation:

I'm assuming by 5700 you actually mean 57,000.

Calculate the percent change:

(57,000-55,000)/55,000 *100

(2000/55000)x100

0.036363x100

3.6363 rounded to the nearest hundredth is 3.64

Find the value of each variable in the parallelogram.

Answers

Answer: m=35, n=110

Step-by-step explanation:

Consecutive sides have sum 180°

n+70=180n=180-70n=110

And

2m+110=1802m=180-1102m=70m=35

I really need this answer plss

Answers

Answer:

No No No No No No No No No No No No No

Write as a square of a binomial:

4.8xy+36y^2+0.16x^2

Answers

Answer:

(0.4x + 6y)²

Step-by-step explanation:

rsm sucks. i have a 5 hour class tomorrow and i hate it but here you go this is the right answer

You roll two number cubes
Let event A = You roll an even number on the first cube.
Let event B = You roll a 2 on the second cube.
Are the events independent or dependent? Why?
O A. Dependent, because both cubes have six sides.
O B. Independent, because the outcome of the first roll doesn't affect
the outcome of the second roll.
O C. Independent, because they have no outcomes in common.
D. Dependent, because 2 is an even number.

Answers

Answer: B: Independent, because the outcome of the first roll doesn't affect the outcome of the second roll.

Step-by-step explanation:

Events are independent when the outcome of one does not effect the other. Rolling dice for example: If you roll an even number on your first cube, there is no way that it will effect the roll on the second cube, hence the two events are independent.

What is the measure of angle x?
Enter your answer in the box.
+
1470
x =
1 2 3 4 5 6 7
5.

Answers

Answer:

x=43 degrees

Step-by-step explanation:

Subtract 47 from 90 to get the angle next to 47 degrees which is 43 degrees and x is also 43 degrees because they form vertical angles with each other

1. Whats the answer for this X + 2x + 8 = X = 10 + 6

2. Whats the answer for this X + 3 + 2x = X + 10 + 3

3. Whats the answer for this 5x + 2 = 2x + 10 + 4

4. Whats the answer for this 2x + X + 4 = 4x + 1

Answers

Answer:

The first one is 11x=16, the second one is 4x=16, and the next one is 7x=12, and the last one is 3=1x hope this helps

Step-by-step explanation:

1. X = 4
2. X = 5
3. X = 4
4. X =3

if xy=2√3 the value of x^4+y^4=?​

Answers

Step-by-step explanation:

wrong question or incomplete question

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