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Elodia [21]
3 years ago
11

Write in standard notation (1/sqrt2-1/sqrt2 i)^6

Mathematics
1 answer:
vesna_86 [32]3 years ago
7 0
Hello,

z=(1/√2-1/√2 i)^6=1/8*(1-i)^6=1/8*(√2∡-45°)^6=1/8*8∡-270°=1∡90°=i
======================================================
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The wholesale price for a desk is $199. A certain furniture store marks up the wholesale price by 24%. Find the price of the des
eduard

Answer:

246.76$

Step-by-step explanation:

199 x .24 =

47.76

199 + 47.76 =

246.76

5 0
2 years ago
ava walks to the end of her section of trail and back in 90 minutes Luis walks his his section of the trail in 1 3/4 hours. Who
AlekseyPX

Answer:

Luis

Step-by-step explanation:

One hour is 60 minutes total, leaving and extra 30 minutes for Ava, which is half of 60. So, in fraction form, she walked 1 1/2 OR 1 2/4 hours, which is less than Luis. He walked about an hour and 45 minutes total, or 105 minutes.

6 0
2 years ago
Can someone help me with this quickly please.​
ELEN [110]

Answer:

See explaination

Step-by-step explanation:

Probability is the number of desired outcomes over the total outcomes.

1) You want to find Oranges, so that is your desired outcome:

There are 4 oranges in the bowl.

Now sum up all the fruits to get the total:

9+4+7+3+6 = 29

Therefore you have 4/29

2) Same idea, count the peaches and put it over total:

3/29

3) This time, you still want to use the same idea, but its just your desired outcomes that have increased. So instead of just having one fruit, now you want to add the total of 2 fruits as your desired outcome.

(9+4)/29

= 13/29

4) To find the probability of a fruit other than a plum, you can use complementary counting. Since the maximum probability is one, we can find what we dont want, and the outcome of that subtracted from one must be the results that we want.

So a plum is 6/29

1-6/29 = 23/29

5) Same idea as what is used in problems 3 and 4, just a combination of the 2.

(4+3)/29

1-7/29

= 22/29

8 0
2 years ago
Write the area A of a square as a function of its perimeter P. ...?
Svetradugi [14.3K]
The answer is A = P²/16

The perimeter P of a square is sum of its sides s: P = s + s + s + s = 4s
The area A of a square with side s is: A = s * s  = s²

Step 1: Solve s from the formula for the perimeter.
Step 2: substitute s from the formula for the perimeter into the formula for the area.

Step 1:
P = 4s
s = P/4

Step 2:
A = s²
s = P/4
A = (P/4)²
A = P²/4²
A = P²/16
4 0
3 years ago
Which one of the following graphs is the graph of:3if -2 < x < 01if x = 0if 0 < x≤ 2f(x) =A.44B.4-²-(x + 1)?
In-s [12.5K]

Given the piecewise function:

f(x)=\begin{cases}{3\text{ if -2}\leq x

Let's select the graph which represents the function.

We have the graph below:

For f(x) = 3, the graph will be a horizontal line on y = 3 which has an open dot on x = 0 and a closed dot on x = -2

For f(x) = 1 if x = 0, the graph will have a closed dot located on the point (0, 1)

For f(x) = -(x + 1) if 0 < x ≤2, the graph will have a negative slope with an open dot on (0, -1) and closed dot on (2, -3)

ANSWER:

Graph B

8 0
1 year ago
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