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3 years ago

Find the protucts of each pair of complex conjugates. (4+5i)(4-5i)

Mathematics

2 answers:

FinnZ [79.3K]3 years ago

7 0

Answer:

Step-by-step explanation:

Gelneren [198K]3 years ago

4 0

(4 + 5i)(4 - 5i)

FOIL.

16 - 20i + 20i - 25i^2

Simplify.

16 - 25i^2

i^2 = -1

16 + 25

<h3>The product is 41.</h3>

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What is the center and radius of the circle with the given equation (x-1)^2+(y+1)^2=4?

Mrrafil [7]

<span>The center is x = 1, y = -1.
The radius is 2. </span>

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2 years ago

Read 2 more answers

In 2002, there were 972 students enrolled at Oakview High School. Since then, the number of students has increased by 1.5% each

Rudiy27

Answer:

$N(t) = 972(1.015)^{t}$

Growth function.

The number of students enrolled in 2014 is 1162.

Step-by-step explanation:

The number of students in the school in t years after 2002 can be modeled by the following function:

$N(t) = N(0)(1+r)^{t}$

In which N(0) is the number of students in 2002 and r is the rate of change.

If 1+r>1, the function is a growth function.

If 1-r<1, the function is a decay function.

In 2002, there were 972 students enrolled at Oakview High School.

This means that $N(0) = 972$

Since then, the number of students has increased by 1.5% each year.

Increase, so r is positive. This means that $r = 0.015$

Then

$N(t) = N(0)(1+r)^{t}$

$N(t) = 972(1+0.015)^{t}$

$N(t) = 972(1.015)^{t}$

Growth function.

Find the number of students enrolled in 2014.

2014 is 2014-2002 = 12 years after 2002, so this is N(12).

$N(t) = 972(1.015)^{t}$

$N(12) = 972(1.015)^{12}$

$N(12) = 1162$

The number of students enrolled in 2014 is 1162.

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2 years ago

When you look at a speck of mold how many microbes are you most likely seeing

jek_recluse [69]

100,000,000 microbes in a speck of mold

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3 years ago

An aquarium tank holds 143 gallons of water. How much is this in liters? Use the following conversion: 1 gallon is 3.8 liters

uranmaximum [27]

Answer:

543.4 liters

Step-by-step explanation:

The conversion 1 gallon is 3.8 liters can be used as the rate.

To convert gallons into liters, multiply the numbers of gallons by the rate, 3.8.

143 gallons X 3.8 = 543.4 liters

Therefore 143 gallons is 543.4 liters.

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3 years ago

Susanna found a roll of fabric she want to use to make a pillow. The role head 3/4 of a yard of fabric left. Suzanne need 1/3 of

balu736 [363]

$\frac{1}{4}$ represents the amount of fabric Susanna needed.

Step-by-step explanation:

Given,

Remaining fabric = $\frac{3}{4}\ of\ yard$

Fabric Susanna needs = $\frac{1}{3}\ of\ remaining\ fabric$

Fabric Susanna needs = $\frac{1}{3}*\frac{3}{4}$

Fabric Susanna needs = $\frac{1}{4}\ of\ a\ yard$

$\frac{1}{4}$ represents the amount of fabric Susanna needed.

Keywords: fraction, multiplication

Learn more about fractions at:

#LearnwithBrainly

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2 years ago