You go to the doctor and he gives you 13 milligrams of radioactive dye which decays exponentially. After 24 minutes, 5 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will you have to remain at the doctor's office, assuming you were given the dye as soon as you arrived? Give your answer to the nearest minute.You will spend?

Answers

Answer 1
Answer: 78 minutes...............................................

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Find the areaRenata is completing a craft project that involves covering only the lateral surface of a cylindrical container with fabric. The cylinder has a height of 12.8 in. and a radius of 15.1 in. To the nearest square unit, how much fabric does she need for this project? Use a calculator.

Answers

Answer: Renata needs 1,214 square inches fabric for this project.

Data:
Height of the cylinder: h=12.8 in
Radius of the cylinder: r=15.1 in
Lateral surface of the cylinder: S=?

Solution:
S=2 Pi r h; Pi=3.1416

Replacing the known values:
S=2 (3.1416) (15.1 in) (12.8 in)
S=1,214.416896 in^2
S=1,214 in^2

the sum of the interior angles of a polygon is 540. determine and state the number of degrees in one interior angle of the polygon.

Answers

The number of degrees in one interior angle of the polygon is 108 degrees.

What is the polygon?

A polygon is a closed two-dimensional shape having straight line segments. It is not a three-dimensional shape.

Sum of interior angles of a polygon with n sides IS;

\rm  (n-2)* 180

Sum of interior angles of a polygon = 540°

Equating both we can determine the number of sides

\rm  (n-2)* 180=540\n\nn-2=(540)/(180)\n\n n-2=3\n\nn=3+2\n\nn=5

There are 5 sides in the polygon and the sum of the interior angles of a polygon is 540.

The number of degrees in one interior angle of the polygon is;

=(540)/(5)\n\n=108

Hence, the number of degrees in one interior angle of the polygon is 108 degrees.

Learn more about interior angles here;

brainly.com/question/10638383

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Any polygon with interior angles that add up to 540 must have 5 sides and 5 corners (a pentagon). Assuming it is a regular pentagon, you need to work out what 1/5 of 540 is, which is the same as dividing it by 5. 540/5 = 108. this is the number of degrees in one interior angle of a regular pentagon.

Arun has captured many yellow-spotted salamanders. He weighs each and then counts the number of yellow spots on its back. This trend line is a fit for these data. A. negative

B. weak

C. parabolic

D. strong​

Answers

Answer: D. Strong

Step-by-step explanation:

Correct on A P E X

Ignore the first answer

Is the missing side length leg or the hypotenuse

Answers

Answer:

The Hypotenuse is going to be the longest side of a Right Triangle.

Step-by-step explanation:

A con could drink up to 35 gallons of water in a day. How much quarts of water can a cow drink in a whole day

Answers

Answer: Up to 140 quarts.

Step-by-step explanation: There are 4 quarts in one gallon so you just multiply 35 by 4.

Kiara has a ribbon that measures 1/4 of an inch and Jillian has a ribbon that measures 2/3 of an inch. Jillian says their ribbons are equal in length because her numerator is one more than kiara's and her denominator is one less, therefore balancing the two fractions. Is she correct? Why or why not?

Answers

Answer:

Jillian is Incorrect as fraction can never be balanced based on numerator or denominator.

Step-by-step explanation:

Given:

Measure of ribbon Kiara has = (1)/(4) \ inch

Measure of ribbon Jillian has = (2)/(3) \ inch

Now given:

Jillian says their ribbons are equal in length because her numerator is one more than kiara's and her denominator is one less, therefore balancing the two fractions.

we need to find whether statement is correct or not.

First we will find the decimal value of the given fraction's

(1)/(4) \ inch can rewritten as 0.25\ inch

Measure of ribbon Kiara has = 0.25 inch

(2)/(3) \ inch can be Rewritten as 0.67\ inch

Measure of  ribbon Jillian has = 0.67 inch

Now we can see that;

0.67 inch is greater than 0.25 inch.

Hence we can say that ribbons are not in equal length.

Also the fraction can never be balanced by decreasing or increasing the numerator or denominator.