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Lisa [10]
3 years ago
13

Rewrite the expression 4+ the square root of 16-(4)(5) decided by 2 as a complex number in standard form a+bi

Mathematics
1 answer:
bija089 [108]3 years ago
8 0

Answer: 4 + \sqrt{4i}

Step-by-step explanation:

4+ \sqrt{16-(4)(5)} = 4 + \sqrt{16-20} =4 + \sqrt{-4} = 4 + \sqrt{4i}

if it matters then simply further...

4 + \sqrt{4i} = 4 + 4i^{1/2}

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Three added to 4 times a number is equal to 5 less than 6 times the number.
GenaCL600 [577]
In numbers only: 
4x + 3 = 6x - 5

C)x = 4
7 0
3 years ago
a motorboat travels 305km in 5 hours going upstream and 651km in 7 hours going downstream. What is the rate of the boat in still
Ghella [55]
Recall your d = rt, distance = rate * time.

b = speed rate of the boat.

c = speed rate of the current.


keeping in mind that, as the boat goes Upstream, against the current, it's speed is not "b", but is really " b - c ", because the current is subtracting speed from it.

likewise, when the boat is going Downstream, because is going with the current, is really going faster at " b + c ".

\bf \begin{array}{lccclll}
&\stackrel{km}{distance}&\stackrel{kmh}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
Upstream&305&b-c&5\\
Downstream&651&b+c&7
\end{array}
\\\\\\
\begin{cases}
305=(b-c)(5)\implies 61=b-c\implies 61+c=\boxed{b}\\
651=(b+c)(7)\implies 93=b+c\\
----------------------\\
93=\boxed{61+c}+c
\end{cases}
\\\\\\
93=61+2c\implies 32=2c\implies \cfrac{32}{2}=c\implies 16=c

what is the speed of the boat?  well, 61 + c = b.
6 0
3 years ago
32 pages to 28 pages percent of change
pychu [463]

Answer:

Youre answer is 12.5%

Step-by-step explanation:

Percent change is calculated as

Change original×100%

Change =32−28=4 pages

=4

1328×100%=1008%=

And then your final answer:

12.5%

Glad I could help, hv a good day :3

4 0
3 years ago
hannah is making maffins. The recipe calls for 5/8 cup of milk to make 20 muffins. What is the unit rate for cups of milk per mu
STALIN [3.7K]

Answer:

32 muffins

Step-by-step explanation:

one cup of milk will make 32 muffins

you can set up a proportion of milk/muffins = milk/muffins

let 'x' = number of muffins made from one cup of milk

5/8 ÷ 20 = 1 ÷ x

cross-multiply to get 5x = 20(8)

5x = 160

x = 32

6 0
2 years ago
What is 125 centimeters to 87.5 centimeters
bagirrra123 [75]
If you are asking how to subtract 125 centimeters and make it 87.5, you have to subtract from 125. The easiest way to do this is to subtract 87.5 from 125, getting 37.5. So, if you add 37.5 to 87.5, you will have 125. So, the correct answer is to subtract 37.5 to get 87.5.
3 0
3 years ago
Read 2 more answers
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