What is the product of the binary numbers 0101 and 0101?

Find the cube roots of 125(cos 288° + i sin 288°)

kow [346]

Let r(cos O + i sin O) be a cube root of 125(cos 288 + i sin 288)
then
r^3(cos O + i sin O)^3 = 125(cos 288 + i sin 28)

so r^3 = 125 and cos 3O + i sin 3O = cos 288 + i sin 288

so r = 5 and 3O = 288 + 360p and O = 96 + 120p

so one cube root is 5 (cos 96 + i sin 96)

Im a little rusty at this stuff Its been a long time.

Im not sure of the other 2 roots

sorry cant help you any more

3 0

2 years ago

Read 2 more answers

Debbie found a suitcase that was originally 129 but now is on sale for 30% off. If sales tax is 8.75%, what is her final cost?

Marizza181 [45]

Step-by-step explanation:

To find the answer we first multiply 129 by 0.7 since the price descresed 30 percent. each percent is equal to 0.01.

129 * 0.7 = 90.3

Then we multiply 90.3 by 1.0875 since that is the sales tax

90.3 * 1.0875 = 98.2

so the cost is 98.2

6 0

2 years ago

Read 2 more answers

help with number 2 please i have no idea how to do this. it would be very helpful if you can show the steps

zloy xaker [14]

So in this case, we have to replace the known value.
y=3
y=-2x+3

3=-2x+3

Then we leave our unknown value alone.
$\frac{3-3}{2}$ = x

In this case, our x value would be 0.

We check it...
3=-2(0)+3
3=0+3
3=3

So y=3 x=0

For the second one we have...
y=3x+2
y=-3x-4

For this we substitute the y in any of the equation...
3x+2=-3x-4

We move the unknown values to one side and the ones without unlown values to the other side...
3x+3x=-4-2

Then we solve
6x=-6

Then we leave the unknown value alone.
x= $\frac{-6}{6}$

Then solve for x.
x= -1

Then for our y value we return to one of the original equations and substitute the x value.
y=3x+2
y=3(-1)+2
y=-3+2
y=-1

y=-3x-4
y=-3(-1)-4
y=3-4
y=-1

So in this case we got that x= -1 and y= -1

4 0

3 years ago

What is true about open-end credit? OA It is not typically used for a single purchase but for many purchases over a period of ti

Nitella [24]

Answer:

Option B

Step-by-step explanation:

Open end credit 's biggest example is our credit card

You use credit card and take the money borrow from bank as per your requirement.
If you pay in time your credit score increases else decreases.

Option B is correct

7 0

1 year ago

Find the slope and y-intercept of y=8x-7

ICE Princess25 [194]

$\bf \begin{array}{|c|ll}\cline{1-1}\textit{slope-intercept form}\\\cline{1-1}\\y=\stackrel{slope}{m}x+\stackrel{y-intercept}{b}\\\\\cline{1-1}\end{array}~\hspace{2em} y=\stackrel{slope}{8}x\stackrel{y-intercept}{-7}~~\begin{cases}m=8\\y-intercept = (0, -7)\end{cases}$

5 0

2 years ago