1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zzz [600]
3 years ago
6

At the beginning of an experiment, a scientist has 132 grams of radioactive goo. After 135 minutes, her sample has decayed to 8.

25 grams.
what is the half-life of the goo in minutes?

find a formula for G(t), the amount of goo remaining at time t. G(t)=

how many grams of goo will remain after 47 minutes
Mathematics
1 answer:
Nataliya [291]3 years ago
4 0

Answer:

  • 33.75 minutes
  • G(t) = 135(1/2)^(t/33.75)
  • 51.42 grams

Step-by-step explanation:

Based on the given numbers, we know the decay factor is ...

  8.25/132 = 1/16

in 135 minutes. We recognize 1/16 = (1/2)^4, so is 4 half-lives.

a) The half-life of goo is (135 min)/4 = 33.75 minutes

__

b) A formula for the amount remaining could be ...

  G(t) = 135(1/2)^(t/33.75)

__

c) After 47 minutes, the amount remaining is ...

  G(47) = 135(1/2)^(47/33.75) ≈ 51.42 . . . grams

_____

<em>Comment on the solution</em>

The general form of a decay equation can be ...

  g(t) = (initial value)(decay factor)^(t/(decay time for the given factor))

For our G(t), we used a decay factor of 1/2 and the half-life time of 33.75 minutes.

You might be interested in
Factor fully.<br> x2 + 5x + 6
lara31 [8.8K]

Answer:

You can't factor x or any number other than 1 out.

Step-by-step explanation:

4 0
3 years ago
The following data was collected from a simple random sample of a population.
aivan3 [116]

Answer:

C

Step-by-step explanation:

This problem is analogous to the extraction of 6 elements from a total of 10 elements. It's the same if they are marbles, chips, or in this case, people, as here we don't care about the order of the selection as we only are drawing a sample.

Thus, the problem implies solving the amount of possible combinations of 10 people if we take by 6. There is a formula for this and is:

10 C 6 = 10!(6!4!)

If we operate, knowing that for any number x, x!=x*(x-1)*(x-2)*...*1

10 C 6 = 10!(6!4!) = 10*9*8*7*6*...*1 / [(6*5*...*1) * (4*3*2*1)]

10 C 6 = 10*9*8*7*6! / [(6*5*...*1) * (4*3*2*1)]

We have a 6! multiplying and another dividing, so they get eliminated, and as 4*2=8 and 9=3*3

10 C 6 = 10*9*8*7*/ [(4*3*2*1)] = 10*3*3*8*7*/ [(8*3*1)]

We can eliminate the 8s and one of the 3s on the numerator with the one on the denominator:

10 C 6 = 10*3*7*/1 = 210/1= 210

So, option C

5 0
3 years ago
Order the numbers from greatest to least 68.02 , 68.2 , 68.022
DanielleElmas [232]

Answer:

68.022 68.02 68.2 thank you

8 0
3 years ago
Find the volume of a cylinder that has a radius of 6 feet and a height of 10 feet. Use 3.14 for pi.
Lera25 [3.4K]
It is the last one, 1,130.4 ft^3. The volume of a cylinder equals pi (in this case 3.14) multiplied by the radius squared multiplied by the height. (3.14x6^2x10)
4 0
3 years ago
50 points + brainliest
erica [24]

Answer:

8. B.

9. B.

10. B.

11. No answer choices.

Step-by-step explanation:

Yes, they are all actually B. Hope this helps!

7 0
2 years ago
Read 2 more answers
Other questions:
  • How much is 3 nines?
    5·2 answers
  • NEED THIS ANSWER ASAP!!! What is the end behavior of the graph of the polynomial function f(x)= 3x^6+30x^5+75x^4?
    15·1 answer
  • The College Board reported the following mean scores for the three parts of the Scholastic Aptitude Test (SAT) (The World Almana
    11·1 answer
  • What the answer guys?
    13·1 answer
  • Evaluate the expression for p = 3.<br> 5p =
    15·1 answer
  • PLZ HELP ME ITS 30 POINTS PLZ HELP ME ITS 30 POINTS
    12·2 answers
  • What can i do to show my progress on a goal
    11·2 answers
  • Identify the scale factor
    15·2 answers
  • -10x+10y=-10 10x-10y=10
    8·1 answer
  • What is the volume of a cone with a diameter of 10 m and a height of 3 m?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!