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lisabon 2012 [21]
3 years ago
5

The half-life of a radioactive substance is the average amount of time it takes for half of its atoms to disintegrate. Suppose y

ou started with 200 grams of a substance with a half-life of 3 minutes. How many minutes have passed if 25 grams now remain? Explain your reasoning.
Mathematics
2 answers:
Mila [183]3 years ago
8 0

Answer:

It would take 9 minutes for 25 grams of the substance to remain.

Step-by-step explanation:

Radioactive substance degenerate to release particles and lot of energy. The time required for a radioactive substance to degenerate into half of its original size is termed half life. The substance continues the stages of degeneration with respect to the half life.

The given substance would have 3 stages of degeneration to achieve a mass of 25 grams with respect to the half life.

1st stage, it would degenerate to half of its original size;

          = \frac{200}{2}

          = 100 grams

This occurs in 3 minutes.

2nd stage, it would degenerate to half of its previous size;

        = \frac{100}{2}

       = 50 grams

This also occurs in 3 minutes.

3rd stage, it would degenerate to half of it previous size;

         = \frac{50}{2}

        = 25 grams

This also occurs in 3 minutes.

We stop here due to the restriction in the question for 25 grams.

So, the total time taken for the substance to reach a mass of 25 grams

       = 3 + 3 + 3

       = 9 minutes

It would take 9 minutes for 25 grams of the substance to remain.

monitta3 years ago
3 0
3 half-lives because 200/2=100 100/2=50 and 50/2=25 
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Which of the following is true about a nonlinear function?
Mila [183]
It is not straight and does not always pass through 0,0
so A, C, and D are incorrect.

Look up nonlinear function, and it shows a curved line.

The answer is B. It can be curved.
8 0
3 years ago
Read 2 more answers
When 2(3/5 x + 2/3 y - 1/4 x -1 1/2 y + 3 )is simplified, what is the resulting expression?
vovangra [49]

Answer:

Simplifying  the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3) we get \mathbf{42x-100y-360}

Step-by-step explanation:

We need to simplify the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)

First we will solve terms inside the bracket

2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)

Converting mixed fraction 1\frac{1}{2} y into improper fraction, we get: \frac{3}{2}y

Replacing the term:

2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)

Now, taking LCM of: 5,3,4,2 we get 60

Now multiply 60 with each term inside the bracket

2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)

Now, combine like terms

2(36x-15x-90y+40y-180)\\2(21x-50y-180)

Now, multiply all terms with 2

42x-100y-360

So, Simplifying  the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3) we get \mathbf{42x-100y-360}

3 0
3 years ago
Let fat be the explanatory variable and calories be the response variable; which scenario best describes ŷ = 121 + 1.42x?
emmasim [6.3K]

Using <u>linear function concepts</u>, it is found that the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which represents by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • The explanatory variable fat is the input.
  • The response variable calories is the output.

The equation is:

y = 121 + 1.42x

  • The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.
  • The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.

Thus, the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A similar problem is given at brainly.com/question/16302622

8 0
2 years ago
How to solve 325x52 traditional way
pentagon [3]

place 325 on top and line up 52 with 25 on bottom. Then multiply 2 with 5 to get 10. Place the zero bellow the line and carry the 1 over the 2. Multiply 2 times 2 to get 4 and then add one to get 5. Put the five bellow the line. Multiply 3 times 2 to get a total of 6 and bring it bellow the line. Bring a zero bellow the 0 that's bellow the line. Multiply 5 times 5 to get 25. Bring the 5 to the left of the zero you just placed and carry the 2. Multiply 5 times 2 to get 10 and add the 12. Place the 2 to the left of the 5 you just placed bellow the line and carry the 1. Multiply 5 times 3 to get 15 and add the 1 to get 16. Place the 16 to the left of the 2 you just placed bellow the line. Then add 650 plus 16250 to get an answer of 16,900.


Wow that was long and hard to explain LOL. :)

7 0
3 years ago
Can yall please help me answer all these
Anettt [7]
#1 is 60\100 which can be reduced to 3\5
7 0
3 years ago
Read 2 more answers
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