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


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

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Answer:

5:8

Step-by-step explanation:

Answer:

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

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Answer:

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Step-by-step explanation:

200.3865 divided by 200.3865 equals 1

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

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30 plus 30 equals 60

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

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:

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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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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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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

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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:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

c. 4x + 12

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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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

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Computation:

Assume;

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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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.

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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
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O $25x 0.02
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d is the answerStep-by-step explanation:

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
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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:

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much would five oranges and three lemons cost?

Answers

Answer:

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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:

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Step-by-step explanation:

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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]

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