All categories

3 years ago

Simplify (10 + 3i)(5 – 2i) ...?

Mathematics

1 answer:

ipn [44]3 years ago

5 0

(10+3i)*(5-2i) =
50 - 20i + 15i - 6i²
i² = -1
50 - 5i - 6*(-1) =
50 - 5i + 6 =
56 - 5i

You might be interested in

What does PEMDAS mean in math

Dahasolnce [82]

Hey there!

PEMDAS simply means (the OVERALL question answer)

• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtraction

Here’s an example

24 - 4^2 + 2 * 4

= 24 - 16 + 2 * 4

= 24 - 16 + 8

= 8 + 8

= 16

Thus, the answer for that equation is: 16

Often people remember PEMDAS by saying. (So, I’d advise you think of it like that way as well!)

• Please
• Excuse
• My
• Dear
• Aunt
• Sally

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

8 0

2 years ago

A leaky faucet has a drip that produces 1.2 drops per second. How many drops will occur in one day?. Show all steps neatly.Write

NemiM [27]

28.8 drops will occur in one day because if you multiply 1.2 by 24, it will equal 24. I multiplied by 24 because 1 day is 24 hours

hope it helped :3

3 0

3 years ago

Read 2 more answers

....................

Thepotemich [5.8K]

Answer:

So do you need a solution?

Step-by-step explanation:

5 0

3 years ago

Monique made several batches of soup.

const2013 [10]

Answer:

8 batches

in workings show whats left over but not counted.

As a batch its a whole number as the multiplier will usually be the fraction

and fraction / fraction should always show fraction but the whole number given with a remainder can be shown if not a whole number.

Step-by-step explanation:

6 1/2 = 6.5

and ;

3/4 of a pound = 0.75 of 1 pound

6.5 / 0.75 = 8.7 or in full workings write = 8.6666.....7

8.7/ 1 = 8 batches with 0.7 or 0.66667 left over

Answer In fraction for exam question given in fraction 8.7 = 8 batches

with 7/10 left over.

4 0

2 years ago

Matthew has two kind of rice brown rice 8 7/8 and white rice 6 3/4 How much more brown rice than white rice does Matthew have?

pychu [463]

Mathew has $\frac{17}{8} \text{ or } 2\frac{1}{8}$ more brown rice than white rice

Solution:

Given that Matthew has two kind of rice ; brown rice and white rice

From given question,

$\text{Brown rice } = 8\frac{7}{8}\\\\\text{White rice } = 6\frac{3}{4}$

Let us convert the mixed fractions to improper fractions

Multiply the whole number part by the fraction's denominator

Add that to the numerator

Then write the result on top of the denominator

$\text{Brown rice } = 8\frac{7}{8} = \frac{8 \times 8 + 7}{8} = \frac{71}{8}$

$\text{White rice } = 6\frac{3}{4} = \frac{4 \times 6 + 3}{4} = \frac{27}{4}$

How much more brown rice than white rice does Matthew have?

So we need to find the difference between brown rice and white rice

Difference = brown rice - white rice

$difference = \frac{71}{8} - \frac{27}{4}$

Make the denominators same for easier calculations

$difference = \frac{71}{8} - \frac{27 \times 2}{4 \times 2}\\\\difference = \frac{71}{8} - \frac{54}{8}\\\\difference = \frac{71 - 54}{8} = \frac{17}{8}$

Converting again to mixed fractions we get,

$difference = \frac{17}{8} = 2\frac{1}{8}$

Thus Mathew has $\frac{17}{8} \text{ or } 2\frac{1}{8}$ more brown rice than white rice

8 0

3 years ago