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3 years ago

5

Can you answere this please? i will give brainleyest

2 answers:

maria [59]3 years ago

7 0

Step-by-step explanation:

Bestie there is nothing attached

Mrrafil [7]3 years ago

3 0

Answer:

alright

Step-by-step explanation:

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A breeder reactor converts uranium-238 into an isotope of plutonium-239 at a rate proportional to the amount of uranium-238 pres

topjm [15]

Let $U(t)$ denote the amount of uranium-238 in the reactor at time $t$ . As conversion to plutonium-239 occurs, the amount of uranium will decrease, so the conversion rate is negative. Because the rate is proportional to the current amount of uranium, we have

$\dfrac{\mathrm dU}{\mathrm dt}=-kU$

where $k>0$ is constant. Separating variables and integrating both sides gives

$\dfrac{\mathrm dU}U=-k\,\mathrm dt\implies\ln|U|=-kt+C\implies U=Ce^{-kt}$

Suppose we start some amount $u$ . This means that at time $t=0$ we have $U(0)=u$ , so that

$u=Ce^{-0k}\implies C=u\implies U=ue^{-kt}$

We're given that after 10 years, 99.97% of the original amount of uranium remains. This means (if $t$ is taken to be in years) for some starting amount $u$ ,

$0.9997u=ue^{-10k}\implies k=-\dfrac{\ln(0.9997)}{10}$

The half-life is the time $t_{1/2}$ it takes for the starting amount $u$ to decay to half, $0.5u$ :

$0.5u=ue^{-kt_{1/2}}\implies t_{1/2}=-\dfrac{\ln(0.5)}k=\dfrac{10\ln2}{\ln(0.9997)}$

or about 23,101 years. Notice that it doesn't matter what the actual starting amount is, the half-life is independent of that.

7 0

3 years ago

What the length of the line BX?<br> (please see attachment)

sveticcg [70]

It equals 10 are supposed to divide the whole line by 3 to get the smaller segment then double it to get the larger segment

3 0

3 years ago

Read 2 more answers

Simplify the rational expression. State any restrictions on the variable.

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

The value of t must not be one that makes the denominator zero, hence must not be 8.

4 0

3 years ago

Read 2 more answers

What’s the answer? Help

iren2701 [21]

Answer:

$14

Step-by-step explanation:

x = price of scarf 1

y = price of scarf 2

together they cost $25

x + y = 25

one scarf costs $3 more than the other

x = y + 3

now we use that in the first equation again

y+3 + y = 25

2y +3 = 25

2y = 22

y = $11

=> x = y +3 = 11 + 3 = $14

8 0

3 years ago

Complete each ordered pair so that it is a solution of the given linear equation. x - 3y=4;(.-3), (-11, ) The first ordered pair

AURORKA [14]

Answer:

Step-by-step explanation:

x - 3y = 4

x - 3(-3) = 4

x + 9 = 4

x = -5

(-5, -3)

-11 - 3y = 4

- 3y = 15

y = -5

(-11, -5)

I don't see how (0, -3) could be a solution to the equation.

3 0

2 years ago