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BigorU [14]
2 years ago
15

What is the standard form of (5+I)(6-5i)/2i(-3+7i)

Mathematics
1 answer:
Lana71 [14]2 years ago
6 0
<span>−<span>47/29</span></span>+<span><span><span>119i/</span>58 
I think im sry if its wrong but I believe that is it

</span></span>
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Kelsey babysits and earns a lat rate of $10 plus $1.50 per hour. How many hours did she babysit if she earned $16? (Write and so
Tasya [4]

Answer:

She babysitted for 4 hours.

Step-by-step explanation:

1.50x + 10 = 16

1.50x = 6

x = 4

Hope this helps!

6 0
2 years ago
Read 2 more answers
The sum of 30 times (1/3)^(n-1) from 1 to infinity
sergeinik [125]

Let

S_n=\displaystyle1+\frac13+\frac1{3^2}+\cdots+\frac1{3^n}

Then

\dfrac13S_n=\displaystyle\frac13+\frac1{3^2}+\frac1{3^3}+\cdots+\frac1{3^{n+1}}

and

S_n-\dfrac13S_n=\dfrac23S_n=1-\dfrac1{3^{n+1}}\implies S_n=\dfrac32-\dfrac1{2\cdot3^n}

and as n\to\infty, we end up with

\displaystyle\lim_{n\to\infty}S_n=\lim_{n\to\infty}\sum_{i=1}^{n+1}\frac1{3^{i-1}}=\lim_{n\to\infty}\left(\frac32-\frac1{2\cdot3^n}\right)=\frac32

So we have

\displaystyle\sum_{n=1}^\infty30\left(\frac13\right)^{n-1}=30\cdot\frac32=45

8 0
3 years ago
A barbecue sold 26 hamburgers and hot dogs. Hamburgers sell for $3.50 each and hot dogs sell for $2.00 each. If the barbecue mad
Angelina_Jolie [31]

x => Hamburgers

y => Hot dogs


x + y = 26

3.5x + 2y = 70


-2x - 2y = -52

3.5x + 2y = 70

-----------------------

1.5x = 18

x = 18 / 1.5 = 12

y = 26 - 12 = 14


They sold 12 hamburgers and 14 hot dogs

7 0
3 years ago
Points J, K, L, and M are midpoints of the sides of the rectangle EFGH. Prove that quadrilateral JKLM is a rhombus by finding th
GaryK [48]
Distance from J to F = b
D from F to K = a
a^2+b^2=JK^2

D from K to G = a
D from G to L = b
a^2+b^2=KL^2

D from L to H = b
D from H to M = a
a^2+b^2=LM^2

D from M to E = a
D from E to J = b
a^2+b^2=MJ^2

For each side, I used the Pythagorean theorem (a^2+b^2=c^2) to find the length. Since every side of the quadrilateral squared (aka to the power of two) equals a^2+b^2, every side squared equals each other. So JK^2=KL^2=LM^2=MJ^2. If you take the square root of each side of the equal signs, you’re left with JK=KL=LM=MJ. In order for a quadrilateral to be a rhombus, each side must be equivalent. Each side in this quadrilateral is equivalent, therefore it is a rhombus.
6 0
3 years ago
In a summer camp, there were enough food provisions to feed 24 scouts for 8 days. If 32 scouts arrived at the camp, how long wil
yanalaym [24]

Answer: 6 days

Step-by-step explanation:

8 0
2 years ago
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