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2 years ago

I need help with area of a rectangle! Plese help me out this is a starr review!

Mathematics

1 answer:

Kryger [21]2 years ago

5 0

Answer:

Step-by-step explanation:

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

wolverine [178]

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:

$\frac{dR}{dt} = -kR$

7 0

3 years ago

Which two transformations must be applied to the graph of y = ln(x) to result in the graph of y = –ln(x) + 64?

stiks02 [169]

Answer: A) reflection over the x-axis, plus a vertical translation

Step-by-step explanation:

Ok, when we have a function y = f(x)

> A reflection over the x-axis changes a point (x, y) to a point (x, -y), then for a function (x , y = f(x)) the point will change to (x, -y =- f(x))

then for a funtion g(x), this tranformation can be written as h(x) = -g(x).

> A vertical translation of A units (A positive) up for a function g(x) can be written as: h(x) = g(x) + A.

Then in this case we have:

y = g(x) = ln(x)

and the transformed function is h(x) = -ln(x) + 64

Then we can start with h(x) = g(x)

first do a reflection over the x-axis, and now we have:

h(x) = -g(x) = -ln(x)

And now we can do a vertical translation of 64 units up

h(x) = -g(x) + 64 = -ln(x) + 64

Then the correct option is:

A) reflection over the x-axis, plus a vertical translation

3 0

3 years ago

A sector has angle 2.5 radians and perimeter of 18cm. find the radius of the sector

babunello [35]

Answer:

4 cm

Step-by-step explanation:

Perimeter = 18cm

θ = 2.5 radian

s = rθ, s = Arc length

Perimeter of Sector, P = arc length, s + 2r

Perimeter = rθ + 2r

r = Radius

18cm = r(2.5) + 2r

18cm = 2.5r + 2r

18cm = 4.5r

r = 18 /4.5

r = 4

8 0

3 years ago

The grocery store charges $10.35 for 5 bags of oranges.If someone bought 9 bags of oranges,how much would it cost then

Crank

It’s $18.63 , 10.35 divided by 5 = 2.07 , so 2.07 times 9 = $18.63

3 0

3 years ago

HELP 20 POINTS!!! Does the infinite geometric series diverge or converge? Explain.

Nitella [24]

Answer:

c. it converges, it has a sum

8 0

3 years ago

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