The decay of 277 mg of an isotope is described by the function A(t)= 277e^0.019t , where t is time in years. Find the amount left after 64 years. Round your answer to the nearest mg. Show all of your work for full credit. ​

Answers

Answer 1

The decay of 277 mg of an isotope is described by the function

A(t)= 277e-0.019t,

where t is time in years.

To find the amount left after 64 years,

We substitute t = 64 in the expression.

A(t=64)= 277e-0.019(64)

or A(t=64) = 277 * e-1.216

                = 277 * 0.29

                = 82 mg


Related Questions

Hellpppp pls!!!!!!!!!!!!

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Answer:

2a+6b

Step-by-step explanation:

Answer:

6b + 2a

a + (a + 6b)

(a + 3b)2

Can someone please help me?

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Answer:

24 square inches

Step-by-step explanation:

First box: 3 x 4 = 12

Second box: 3 x 4 = 12

Added together = 24

24 inches squared hope that helped!

I NEED HELPPPP PLIS
Why do you think it would be important to keep track of the weather conditions in a particular location?

Answers

Answer:

I think We should keep track of the weather because just in case we dont get sucked up in a tornado or tsunami or we get snowed in

Step-by-step explanation:

WHENS MY BDAY I SAID THIS

Answers

Answer:

reeee whenever it was happy bday ily by :)

ANSWER PLEASE I NEED HELP

a rectangular prism has a width of 0.5 a height of 4 and a length of 1.5, what is the surface area of the rectangular prism?

Answers

Answer:

The surface area of the rectangular prism is 17.5

Step-by-step explanation:

We are given:

Width of rectangular prism (w) = 0.5

Length of rectangular prism (l) = 1.5

Height of rectangular prism (h) = 4

We need to find the surface area of the rectangular prism.

The formula used is: [tex]Surface \ area \ of \ the \ rectangular \ prism=2(lw+lh+wh)[/tex]

Putting values and finding the surface area of the rectangular prism

[tex]Surface \ area \ of \ the \ rectangular \ prism=2(lw+lh+wh)\\Surface \ area \ of \ the \ rectangular \ prism=2((1.5)(0.5)+(1.5)(4)+(0.5)(4))\\Surface \ area \ of \ the \ rectangular \ prism=2(0.75+6+2)\\Surface \ area \ of \ the \ rectangular \ prism=2(8.75)\\Surface \ area \ of \ the \ rectangular \ prism=17.5[/tex]

So, the surface area of the rectangular prism is 17.5

.-. I need your help .-.

Answers

Answer:

D

Step-by-step explanation:

D! Hope this helps:)

In a classroom, for every 8 girls there are 5 boys. What is the ratio of boys to girls?

Answers

Answer:

5:8

Step-by-step explanation:

Answer:

8 to 5

Step-by-step explanation:

10.3)200.3865
10.3 divided by 200.3865

Answers

Answer:

1

Step-by-step explanation:

200.3865 divided by 200.3865 equals 1

A restaurant bill is S25, and a 20 percent tip should be given to the waiter. Which expression can be used to find the total
amount that will be paid?
O $25x 0.02
O $25x0 20
O s25x 1.20
O $25x 2 00
Plz help quick

Answers

d is the answerStep-by-step explanation:

-2.5(p+4)+8.1 simplify answer

Answers

Answer:

the answer is  [tex]-2.5p-1.9[/tex]

Step-by-step explanation:

hope this helps :)

Please help. I will give 15 points.

Answers

Answer:

its A

Step-by-step explanation:

Answer:

A, bc 7 divided by 1/5 is 35 so it makes the most sense other than 1/35

Step-by-step explanation:

Hoped I helped Im Eve btw. Have an amazing day and consider marking this as brainliest if you do thank you in advanced! :3

Please help if you can
Tia dilated the rectangle below by a scale factor of 7/2. What is ther perimeter of the new rectangle?
A
64 inches

B
220 inches

C
2695 inches

D
224 inches

Answers

Answer:

Option D

Step-by-step explanation:

Formula to be used,

Scale factor = [tex]\frac{\text{Dimension of the image rectangle}}{\text{Dimension of the original}}[/tex]

By this formula,

[tex]\frac{7}{2}=\frac{\text{Length of the dilated rectangle}}{\text{Length of the original rectangle}}[/tex]

[tex]\frac{7}{2}=\frac{L}{22}[/tex]

L = [tex]\frac{7\times 22}{2}[/tex]

  = 77 inches

Similarly, width of the the dilated rectangle = [tex]\frac{7}{2}\times 10[/tex]

                                                                        = 35 inches

Perimeter of the new rectangle = 2(Length + width)

                                                    = 2(77 + 35)

                                                    = 224 inches

Option (D) will be the correct option.

The perimeter of a rectangle,p, is given by p =2L + 2W , where L is its length and w is its width what is the perimeter of a rectangle of length 15ft and width 15ft ?

Answers

Answer:

60ft

Step-by-step explanation:

        multiple the length by 2

15 times two equals 30

       multiple the width by two

15 times two equals 30

       add the total lengths and widths

30 plus 30 equals 60

ans=60

the picture is below

Answers

Answer:

C

Step-by-step explanation:

Evaluate and solve for the variable

12-c=8

Answers

Answer:

c is 4

Step-by-step explanation:

A parachutist’s rate during a free fall reaches 216 kilometers per hour. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 20 seconds of free fall? Do not round your answers.

Answers

Answer:

216.00 = 134.22

Step-by-step explanation:

216.1 =134.22

Somebody help me quick

Answers

Answer: I know D it’s 18.6

It is b because formula is equal to the b

Is the relationship shown in the table at the right proportional? If so, use it to complete a proportions web. If not, explain why it is not
40 Points to whover answers them all

Answers

yes it would be proportional because it goes through the origin

Answer:

yes it would be proportional because it goes through the origin

Step-by-step explanation:

The ratio of men to women at Sarah’s party is 4 to 5. If there are fifteen women at the party, how many men are there? How many guests are there all together?

Answers

Answer:

12 Men, 27 men and women together.

Step-by-step explanation:

Well we know there are 15 women. The ratio of men to women is 4:5 so that means every 4 men, there are 5 women. If we divide 15 by 5, we get 3. Now we multiply 3 to the number of men which is 4 because what happens to one part of the ratio then happens to the next. Added together, 12 plus 15 equals 27 so that is the total. Hope this helps!

Please help me will make brainlist

Answers

Answer:B

Step-by-step explanation:

using powers of 10, which would be the best choice for the first number to subtract in the division problem 4860/15?

Answers

Wow so stingy up in here with the points

Answer:

150

Step-by-step explanation:

I hope I'm right

A tire manufacturer believes that the life of its tires follow a normal distribution with a mean of 46,000 miles and a standard deviation of 4,000 miles. What mileage can he guarantee each tire to last so that 99% of the tires last longer than the guaranteed lifetime?

Answers

Answer:

Guarantee of Tyre = 36,680 miles

Step-by-step explanation:

Given:

Mean = 46,000 miles

Standard deviation = 4,000 miles

Computation:

Assume;

x = guaranteed lifetime

P(X > x) = 99%

So,

P(X > x) = 0.99

So,

P(Z > z) = 0.99

So,

1 - P(Z > z )  = P(Z < z)

P(Z < z) = 0.01

So, in z table value of z = -2.33

x = μ + [z x σ]

x = 46,000 + [-2.33 x 4000]

x = 36,680

Guarantee of Tyre = 36,680 miles

HELP ASAP R THESE ONE SOLUTION, TWO, OR NO SOLUTION

Answers

Answer:

I think it's 2 solution

Fill in the missing reason in proof.

Answers

Answer:

SAS

Step-by-step explanation:

As per steps given the congruent pairs are:

AB and ACBD and CDAngle B and angle C

So two sides and included angle - it represents side-angle-side or SAS congruency theorem

The school nurse is assembling first-aid kits for the teachers. She has 75 bandages and 90 throat lozenges. All the kits must have the same number of each supply, and all supplies must be used.

a. What is the largest number of kits the nurse can make?
b. How many bandages and lozenges will be in each kit?

Answers

The largest amount of kits the nurse can make is 75.

There would be 1 bandages and 1 lozenges in each kit.


Hope that helps!

Which expression is equivalent to 4 (x + 3) ?

A. 4x + 3x
B. 4 + x + 3
C. 4x + 12
D. 4x + 3

Answers

Answer:

c. 4x + 12

Step-by-step explanation:

just distribute the 4 out. hope this helped!

Answer:

C.

Step-by-step explanation:

distribute the 4 to the quantity (x+3)

we get: 4x + 12 so your answer is C.

Q#1 Pleaseeee answer my guy it’s literally the biggest grade I got and I’m tiredddd

Answers

Answer:

x < -15

Step-by-step explanation:

x/-5 > 3

x > 3 * (-5)

x > -15

Two oranges and five lemons cost $2.95. Three oranges and two lemons cost $2.50. How
much would five oranges and three lemons cost?

Answers

Answer:

40 p

Step-by-step explanation:

2.50 plus 40 equal 2.90 and that is how u get ur answer

5/ HELP ASAP PLEASE, PLLEAAASEE

Answers

Answer:

Top right

Step-by-step explanation:

You are doing marketing research to find out the purchasing potential of students in the community based on the latest senses there are 9860 students in a population of 602400 people what percent of the total population is students

Answers

Answer:

In statistics, scientists or researchers gather data to represent the existing number of population audience that they should target. Statisticians usually lump these data and present them in terms of mean, median or mode. To be more accurate, percentage could also be used. Percentage is generally defined as the number of a specific parameter per 100 units of the whole. In this case, the percentage is defined as the number of students per 100 people of the whole population. The working equation to be used is:

Percentage = Number of Students/Number of Population * 100%

Percentage = 9,860/62,400 * 100

Percentage = 15.8%

Hence, out of the total population, 15.8% are students.

or

Number of students = 9860

Total Population = 62,400

Percentage of students in the population can be calculated by:

(Number of students/Total population) x 100%

Using the values, we get:

Percentage of students = (9860/62400) x 100% = 15.80%

Thus, students constitute 15.80% of the entire population

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