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lana66690 [7]
3 years ago
8

When a water-cooled nuclear power plant is in operation, oxygen in the water is transmuted to nitrogen-17. After the reactor is

shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level.
Required:
Write a differential equation that expresses the rate of change in the radiation level in terms of the radiation level.
Mathematics
1 answer:
wolverine [178]3 years ago
7 0

Answer:

The differential equation is \frac{dR}{dt} = -kR

Step-by-step explanation:

Differential equation for the rate of change in radiation level:

Radiation level is R.

Rate of change indicates that the radiation level R varies in function of time t, which mathematically means that we have:

\frac{dR}{dt}

After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level.

Rate of change is k. Decreases means that k is negative. Proportional to the radiation level of R means that -k multiplies R. So the differential equation is:

\frac{dR}{dt} = -kR

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Solve the following systems algebraically<br> a. x+2y=17 <br> x-y=2
motikmotik
There are 3 methods to solve this. elimination substitution and graphing but i am going to use the elimination method.
  x+2y=17
 <u> x-y   =2
</u> 0+3y  =15   ( subtracted down to eliminate the x)( x-x=0, 2y-(-y)=3y, and 17-2=15)
     3y=15    (divide both sides by 3 to solve for y)
      y=5
<u>substitute the y=5 in any of the above equations and solve for x
ie... ( </u>meaning where you find y in the equation, u replace it with a 5)

it will be easier to solve for x in (x-y=2) so i will use that one.
x-(5)=2  ( add 5 on both sides to solve for x)
x=7
5 0
3 years ago
I need answers please​
Semmy [17]
4. 0.76
5. 0.18
8. 4.48
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12. 3.08
13. 0.45

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4 0
3 years ago
URGENTEE. NON SO RISOLVERE QUESTO PROBLEMA.
Marrrta [24]

the question in English


Draw a rectangle having the base congruent to the nine sevenths of the height.

Let

b-------> the base of rectangle

h-------> the height of rectangle

we know that

b=(9/7)*h-------> this is the equation to obtain the base of the rectangle for a given height

examples

1) for h=7 units

b=(9/7)*7-------->b=9 units

the dimensions are 9 units x 7 units------> see the attached figure

2) for h=5 units

b=(9/7)*5-------->b=(45/7) units

the dimensions are (45/7) units x 5 units

The answer in Italian

Facciamo

b-------> base del rettangolo

h-------> altezza del rettangolo

Noi sappiamo che

b=(9/7)*h-------> questa è l'equazione per ottenere la base del rettangolo per una determinata altezza

esempi

1) per h=7 units

b=(9/7)*7-------->b=9 units


le dimensioni sono 9 units x 7 units-----> vedere la figura allegata

2) per h=5 units

b=(9/7)*5-------->b=(45/7) units


le dimensioni sono (45/7) units x 5 units

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2 years ago
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Soloha48 [4]

Answer:

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4 0
3 years ago
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Identify the vertex of the quadratic function
Angelina_Jolie [31]

Answer:

(-2,-1)

Step-by-step explanation:

On the graph, the vertex is where the bottom of the U is. In general, it's always that same place on the U, but the U could be turned upside down or left or right. Looking at the bottom of the U, count on the x axis first (left 2, which is negative). That's your first number. Then count on the y axis (down 1, again, negative). That's your second number. Hope this helps!

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