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valina [46]
3 years ago
14

If i is raised to an even power than I can’t simplify to be i 1 -1

Mathematics
1 answer:
son4ous [18]3 years ago
4 0

Answer:

i

Step-by-step explanation:

i^ even power

i^2 = i*i = -1

i^4 = =1

So raised to an even power, it will be either 1 or negative 1

raised to an odd power it will be either i or -i

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61 ones×<br> ​10<br> ​<br> ​1<br> ​​ = ?
Vitek1552 [10]
The answer is 6161 your welcome
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3 years ago
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An assembly line produces 2 toasters per minute. It is 2:00pm and the line has finished 560 out of its goal of 900 for the day.
LenaWriter [7]

Answer:

I won't stop the line for a half hour break.

Step-by-step explanation:

<u>Proportions</u>

One quantity A is said to be proportional to other B if A can always be obtained by multiplying or dividing B by any constant number. Numbers {4,8,12} are proportional to {2,4,6} because they can be computed as twice their value

.

There is a situation described in the problem where we need to know if there will be enough time to produce the 900 toasters (the goal for the day) when the assembly line is stopped by half an hour.

Actual time: 2:00 pm

Final time: 5:00 pm

Rate of production: 2 toasters/minute

Actual production: 560 toasters

Updated goal: 900-560 = 340 toasters  

Those 340 toasters must be produced in the remaining 3 hours (180 minutes) of work. If the assembly line stops for half an hour (30 minutes), there will be only 150 minutes to finish the goal production. At a rate of 2 toasters/minute, there will be 2*150 = 300 toasters produced. But we need to produce 340 more toasters, so that break cannot be granted or we'll be 40 toasters under goal.

It the line keeps producing for 180 minutes, it would produce 2*180 = 360 toasters, 20 more than the goal.

Note: The maximum break time that can be granted is 20/2 = 10 minutes

4 0
3 years ago
Ally made 60 donuts on Friday. She made 3x donuts on Wednesday and 2x donuts on Thursday. How much donuts did she make in all?
olya-2409 [2.1K]

Answer:

Step-by-step explanation: 60 x 3= 380

2 x 60= 270

270 + 380= 810

3 0
3 years ago
Whats the answer for 2x+3y=-13 <br><br> I would appreciate all of the work please and thank you
Artemon [7]

Answer: X=2 and y=3

Step-by-step explanation: 2x2=4 and 3x3=9 and 9+4=13

8 0
3 years ago
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Length of the median CP
ehidna [41]

Given:

ΔABC \sim ΔDEF

To find:

The length of median CP

Solution:

In ΔABC,

AP = 12, BP = 12 and PC = 3x - 12

In ΔDEF,

DQ = 16, QE = 16 and FQ = 2x + 8

If two triangles are similar, then their median is proportional to the corresponding sides.

$\Rightarrow \frac{AP}{DQ} =\frac{PC}{FQ}

$\Rightarrow \frac{12}{16} =\frac{3x-12}{2x+8}

Do cross multiplication.

$\Rightarrow 12(2x+8)=16(3x-12)

$\Rightarrow 24x+96=48x-192

Add 192 on both sides.

$\Rightarrow 24x+96+192=48x-192+192

$\Rightarrow 24x+288=48x

Subtract 24x from both sides.

$\Rightarrow 24x+288- 24x=48x- 24x

$\Rightarrow 288=24x

Divide by 24 on both sides.

⇒ 12 = x

Substitute x = 12 in CP.

CP = 3(12) - 12

     = 36 - 12

     = 24

The length of median CP is 24.

7 0
3 years ago
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