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
g100num [7]
3 years ago
6

The core melt- down and explosions at the nuclear reactor in Chernobyl in 1986 released large amounts of strontium-90, which dec

ays exponentially at the rate of 2.5% per year. Areas downwind of the reactor will be uninhabitable for 100 years. What percent of the original strontium-90 contamination will still be present after 50 years?
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
5 0

If S(t) is the amount of strontium-90 present in the area in year t, and it decays at a rate of 2.5% per year, then

S(t+1)=(1-0.025)S(t)=0.975S(t)

Let S(0)=s be the starting amount immediately after the nuclear reactor explodes. Then

S(t+1)=0.975S(t)=0.975^2S(t-1)=0.975^3S(t-2)=\cdots=0.975^{t+1}S(0)

or simply

S(t)=0.975^ts

So that after 50 years, the amount of strontium-90 that remains is approximately

S(50)=0.975^{50}s\approx0.282s

or about 28% of the original amount.

We can confirm this another way; recall the exponential decay formula,

S(t)=se^{kt}

where t is measured in years. We're told that 2.5% of the starting amount s decays after 1 year, so that

0.975s=se^k\implies k=\ln0.975

Then after 50 years, we have

S(50)=se^{50k}\approx0.282s

You might be interested in
I really need the answers to these cuz they'll make or break my grade
MrMuchimi

Answer:

whats the question? its a little blurry and hard to see

Step-by-step explanation:

8 0
2 years ago
4(x+9)=8x-7<br> Solve for x
valentina_108 [34]

Answer:

x = 10.75

Step-by-step explanation:

4(x+9)=8x-7

Step 1: Distribute the 4 to the x and 9

4 * x = 4x

4 * 9 = 36

We now have 4x + 36 = 8x - 7

Step 2: add 7 to both sides

36 + 7 = 43

-7 + 7 cancels out

We now have 4x + 43 = 8x

Step 3 subtract 4x from both sides

4x - 4x cancels out

8x - 4x = 4x

We now have 4x = 43

step 4 divide both sides by 4

4x / 4 ( the 4s cancel out and we're left with x )

43/4 = 10.75

We're left with x = 10.75

3 0
2 years ago
Solve 12^2+5x-4 =12^2x+6
torisob [31]

answer I got was x=6/139 or x=-0.0431655

7 0
3 years ago
Can someone explain how to answer this
olya-2409 [2.1K]

Answer:

q= -ck+dp/

-k+d

Step-by-step explanation:

Step 1:

Multiply both sides by p.

dp=ck−kq+pq

Step 2:

Flip the equation.

ck−kq+pq=dp

Step 3:

Add -ck to both sides.

−kq+pq=−ck+dp

Step 4:

Factor out variable q.

q(−k+p)=−ck+dp

Step 5:

Divide both sides by -k+p.

q= -ck+dp/

-k+d

Sorry if it's all letters and u needed numbers.

7 0
3 years ago
HELP PLEASE 35 POINTS
postnew [5]

For this case we have:

Let a function of the form y = f (x)

By definition, to graph y = f (x + h), where h> 0, we must move the graph of f (x), h units to the left.

We observe that the red graph has the same form as the black graph, but it is displaced "h" units to the left.

It is observed that h = 3

So, if the black graph is given byy = f (x), the red graph is given by: y = f (x + 3)

Answer:

y = f (x + 3)

Option A


3 0
2 years ago
Read 2 more answers
Other questions:
  • Jordan Has 9 Blue Balls, 6 Red Balls And 5 Brown Balls In A Box. Two Balls Are Drawn Without Replacement From The Box. What Is T
    10·2 answers
  • Solve the system of equations
    15·2 answers
  • missy bought 4 bags of chocolates. each bag had 8 pieces of chocolate in it . after her kids ate 6 of the chocolate missy packed
    8·1 answer
  • HURRY PLS HELPP !!!
    8·2 answers
  • n the United States, the average public school teacher currently earns an annual salary near $55,202. Reported national average
    6·1 answer
  • The information below describes a data plan for a storage device.
    5·1 answer
  • What does That symbol mean
    6·2 answers
  • Please help me with this graph!
    8·1 answer
  • what is the mean absolute deviation of Astrids data? to answer the question, find the mean. Next, fill in the table for the abso
    12·2 answers
  • Find the value of x.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!