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Darina [25.2K]
3 years ago
5

The half-life of radioactive cobalt is 5.27 years. Suppose that a nuclear accident has left the level of cobalt radiation in a c

ertain region at 100 times the level acceptable for human habitation. How long will it be until the region is again habitable?
Mathematics
1 answer:
sweet [91]3 years ago
5 0

Answer:

  35 years

Step-by-step explanation:

The proportion p that remains after y years is ...

  p = (1/2)^(y/5.27)

In order for 1/100 to remain (the level decays from 100 times to 1 times), we have ...

  .01 = .5^(y/5.27)

  log(0.01) = y/5.27·log(0.5) . . . take logs

  y = 5.27·log(0.01)/log(0.5) ≈ 35.01 ≈ 35 . . . . years

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Maddie swims the hundred meter freestyle in 30 seconds what is her average speed in meters per minute​
Naily [24]
Answer: 200 meters per minute

Explanation: we know that she can run 100 meters per 30 seconds. the question is asking in terms of minutes, however. we have to convert the seconds into minutes. How many minutes is 30 seconds? well, 60 seconds are in a minute so 30 seconds are in half a minute. 30 seconds = .5 minutes.

Now, we have to find how many meters she runs per minute. this means how many meters she runs in one minute. we create a proportion:

100 meters/ .5 minutes = x meters / 1 minute

we cross multiply to get 100 = .5x

then, we simplify by dividing each side by .5 which equals

200=x
3 0
2 years ago
write and equation in slope intercept form for the following scenario. andy’s rental car charges an initial fee of $20 plus an a
Elza [17]

Answer:

y = 30x + 20

Step-by-step explanation:

y = mx + b

find b

b=20

find m

m=30

8 0
3 years ago
Consider the y-intercepts of the functions. f(x)= 1/5 [x-15] g(x)= (x-2)^2 The y-coordinate of the greatest y-intercept is..
Molodets [167]

Answer:

4

Step-by-step explanation:

I used Desmos

4 0
3 years ago
Read 2 more answers
Please help I really need help on this I would really appreciate it anything helps !
andreev551 [17]

Answer:

<em>AXE</em> and <em>CXD  </em>are vertical angles

<em>AXF</em> and <em>FXD  </em>are supplementary angles

<em>DXC </em>and <em>BXC  </em>are complementary angles

<em>EXA</em> and <em>AXB  </em>are adjacent angles

<em>AXC </em>and <em>CXD</em>  are supplementary angles

<em>EXD </em>and <em>AXC </em>are vertical angles

Step-by-step explanation:

6 0
3 years ago
Find the equation of the parabola that has zeros of x = –1 and x = 3 and a y-intercept of (0,–9). Question 1 options: A) y = 3x2
andrey2020 [161]

Answer:

A

Step-by-step explanation:

Given the zeros are x = - 1 and x = 3 then the factors are

(x + 1) and (x - 3) and the parabola is the product of the factors, that is

y = a(x + 1)(x - 3) ← where a is a multiplier

To find a substitute (0, - 9) into the equation

- 9 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )

3 = a, thus

y = 3(x + 1)(x - 3) ← expand the factors using FOIL

  = 3(x² - 2x - 3) ← distribute by 3

  = 3x² - 6x - 9 → A

7 0
3 years ago
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