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alekssr [168]
3 years ago
6

The half-life of a radioactive isotope is the time it takes for a quantity of the Isotope to be reduced to half its initial mass

. Starting with 210 grams of a
radioactive isotope, how much will be left after 6 half-lives?
Round your answer to the nearest gram
Mathematics
1 answer:
Zepler [3.9K]3 years ago
3 0

Answer:

after 6 half lives: 210(1/2)^6= 3.28125

Step-by-step explanation:

isotope to be reduced to half its initial mass at first:

210(1/2)=105 half it is original weight

after second life: 210(1/2)^2=105(1/2)=52.5

after third : 210(1/2)^3=52.5/2=26.25

after fourth : 26.25/2=12.125

after fifth : 13.125/2

after 6 half lives: 210(1/2)^6= 3.28125

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Andre45 [30]

The most cookies Heidy can make is 36 cookies.

<h3>How to calculate how many cookies can Heidy make?</h3>

To know how many cookies Heidy can make, you have to take into account the following information:

12 cookies need the following ingredients:

  • 125g butter
  • 200g flour
  • 50g sugar

In the case in which Heidy has more ingredients, we must carry out the following operations:

Divide the quantities, in the reference quantity we have:

  • 500g of butter ÷ 125g of butter = 4
  • 700g flour ÷ 200g flour = 3.5
  • 250g of sugar ÷ 50g of sugar = 5

According to the above, we must take into account the lowest value of all because if that ingredient is enough, we can infer that the rest of the ingredients also.

So the number of cookies Heidy can make are:

12 × 3.5 = 42

Learn more about ingredients in: brainly.com/question/26532763

7 0
3 years ago
I don’t understand what to do on these question, some help would be nice (trigonometry)
Bumek [7]

Step-by-step explanation:

> find the angle of center circle:

cos~¹ 5/(5+12) = cos~¹ 5/17 = 72°

so the sector area of the shaded

region =

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= 288/360 × 78.5

= 62.8

> the height of triangle (red Line) =

4×tan 72° = 4× 3.078 = 12.31

the height of pyramid (green

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= 8.61

so the volume of pyramid =

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8 0
3 years ago
What is the difference between the smallest 7-digit number and the largest 6-digit number?
gogolik [260]

Answer:

the greatest 7 digit no.is = 999,99,99 the smallest 6 digit no.is= 1,00,000

Step-by-step explanation:

Sorry if I'm wrong I tried.

5 0
1 year ago
Help please! any1 know this​
FrozenT [24]

The area of square: s · s = s²

The area of rectangle: (s + 6) · s = s(s + 6)

So:

s² + s(s + 6) = 56

s² + s(s + 6) - 56 = 0

Answer D.

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3 years ago
Choose the numbers that are terminating decimals. Select all that apply.
horsena [70]

Answer: A, C, and D

Step-by-step explanation:

          A terminating decimal is a decimal that has an end. In other words, \frac{1}{4}  =0.25 is one, but \frac{1}{3} =0.3333... is not.

✓ A. 0.032

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