Find mCE A. 40 DEGREES B. 50 DEGREES C. 75 DEGREES D. 80 DEGREES

What is the remainder when 3^99 is divided by 8?

Gnom [1K]

Answer:

3

Step-by-step explanation:

3^1=3 divided by 8 will give a remainder of 3

3^2=9 divided by 8 will give a remainder of 1

3^3=27 divided by 8 will give a remainder of 3

3^4=81 divided by 8 will give a remainder of 1

3^5=243 divided by 8 will give a remainder of 3

You will notice that 3^n will give 3 when n is odd number and 1 when n is even number

Since n=99 and 99 is an odd number,

Then the remainder is 3

3 0

3 years ago

Read 2 more answers

Use spherical coordinates. evaluate xyz dv e , where e lies between the spheres ρ = 4 and ρ = 6 and above the cone ϕ = π/3.

sergey [27]

Set

$x=\rho\cos\theta\sin\varphi$

$y=\rho\sin\theta\sin\varphi$

$z=\rho\cos\varphi$

so that the volume element is

$\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi$

The integral is then

$\displaystyle\iiint_Exyz\,\mathrm dV=\int_{\varphi=0}^{\varphi=\pi/3}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=4}^{\rho=6}\rho^5\cos\theta\sin\theta\sin^3\varphi\cos\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\rho$

$=\displaystyle\left(\int_0^{\pi/3}\sin^3\varphi\cos\varphi\,\mathrm d\varphi\right)\underbrace{\left(\int_0^{2\pi}\cos\theta\sin\theta\,\mathrm d\theta\right)}_0\left(\int_4^6\rho^5\,\mathrm d\rho\right)$

and so evaluates to 0.

3 0

3 years ago

X 4) Find the product of 4 x 2 3/4. 18 3/4 O 7 1/2 11 O 14

Vadim26 [7]

9514 1404 393

Answer:

11

Step-by-step explanation:

4 × (2 3/4) = 4×2 + 4×(3/4) = 8 + 3 = 11

or

4 × (2 3/4) = 4 × 11/4 = 11

5 0

3 years ago

Using a calculator, find the square root (to the nearest tenth). Square root of 69,081 =

Lelu [443]

Square root of 69,081 is 262.832646, so the answer to the nearest tenth will be 262.8. Good luck!

8 0

3 years ago

Read 2 more answers

Find the value for x 6x - 8 > 22

Vitek1552 [10]

Answer:

x>5 so any number greater than 5 will work

Step-by-step explanation:

6x-8>22

move -8 to the other side so addition cuz it's a negative number

6x>30

now divide the 6x by 6 and 30

so now it will be

x>5

8 0

3 years ago