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Sati [7]
3 years ago
6

What is a prime number easy definition?

Mathematics
1 answer:
Lyrx [107]3 years ago
7 0
Prime numbers are numbers that have only 2 factors: 1 and themselves.
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Can someone help me with this? I just need help understanding it.​
azamat
What do you need help with !?! I don’t get it you just write the question no picture
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3 years ago
If the radius of circle O is 10 inches and m∠UON=90∘, what is the area of sector URN⌢?
arsen [322]

Answer:

  75π in²

Step-by-step explanation:

The shaded sector is 3/4 of the circle. We can use the area formula for a circle to find the area of the whole circle, then multiply that result by 3/4.

  A = πr² = π(10 in)² = 100π in²

Then the area of 3/4 of the circle is ...

  3/4·A = (3/4)·100π in² = 75π in²

6 0
3 years ago
A restaurant use 8 1/4 pounds of carrots to make 6 carrot cakes. Frank wants to use the same recipe. How many pounds of carrots
timofeeve [1]

Answer:

1 3/8 pounds

Step-by-step explanation:

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5 0
3 years ago
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Solve the given initial-value problem. the de is of the form dy dx = f(ax + by + c), which is given in (5) of section 2.5. dy dx
shutvik [7]

\dfrac{\mathrm dy}{\mathrm dx}=\cos(x+y)

Let v=x+y, so that \dfrac{\mathrm dv}{\mathrm dx}-1=\dfrac{\mathrm dy}{\mathrm dx}:

\dfrac{\mathrm dv}{\mathrm dx}=\cos v+1

Now the ODE is separable, and we have

\dfrac{\mathrm dv}{1+\cos v}=\mathrm dx

Integrating both sides gives

\displaystyle\int\frac{\mathrm dv}{1+\cos v}=\int\mathrm dx

For the integral on the left, rewrite the integrand as

\dfrac1{1+\cos v}\cdot\dfrac{1-\cos v}{1-\cos v}=\dfrac{1-\cos v}{1-\cos^2v}=\csc^2v-\csc v\cot v

Then

\displaystyle\int\frac{\mathrm dv}{1+\cos v}=-\cot v+\csc v+C

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\csc v-\cot v=x+C

\csc(x+y)-\cot(x+y)=x+C

Given that y(0)=\dfrac\pi2, we find

\csc\left(0+\dfrac\pi2\right)-\cot\left(0+\dfrac\pi2\right)=0+C\implies C=1

so that the particular solution to this IVP is

\csc(x+y)-\cot(x+y)=x+1

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3 years ago
HAPPYface if the given ordered pair is a solution to the system and a SAD faceof not.
irga5000 [103]

Answer:

Step-by-step explanation:

1)  :)

2) :(

3) :(

4) :(

5) :)

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