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3 years ago

Whats the product of (3-2i) and (7+6i)?

Mathematics

1 answer:

Alona [7]3 years ago

6 0

Answer: the product is = 33+4i

Step-by-step explanation:

21+4i-12i^2

21+4i-12(-1) i^2=-1

21+4i+12

your answer would be 33+4i .

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A point is randomly chosen on a map of North America. Describe the probability of the point being in each location: North Americ

Aleks04 [339]

Answer:

We know that the map is of North America:

The probabilities are:

1) North America:

As the map is a map of North America, you can point at any part of the map and you will be pointing at North America, so the probability is p = 1

or 100% in percentage form.

2) New York City.

Here we can think this as:

The map of North America is an extension of area, and New Yorck City has a given area.

As larger is the area of the city, more probable to being randomly choosen, so to find the exact probability we need to find the quotient between the area of New York City and the total area of North America:

New York City = 730km^2

North America = 24,709,000 km^2

So the probability of randomly pointing at New York City is:

P = ( 730km^2)/(24,709,000 km^2) = 3x10^-5 or 0.003%

3) Europe:

As this is a map of Noth America, you can not randomly point at Europe in it (Europe is other continent).

So the probaility is 0 or 0%.

5 0

3 years ago

Please help I really really really need assistance through any means!

Georgia [21]

So make a square and then you an answer from (0,1) to (4,3) the slope is 1/2 in simplest form, but for a more accurate answer a calculator.

8 0

4 years ago

Read 2 more answers

Jonah has a large collection of marbles he notices that if he borrows five marbles from a from a friend he can arrange the marbl

olga nikolaevna [1]

Answer:

The remainder is 8

Step-by-step explanation:

Let Jonah's Marble=x

If he arranges x marbles into y rows of 13 each, and there are remainders(R)

Then:

x/13=y+(R/13).....(I)

If he borrows 5 marbles from a friend, there will be no remainder. However, the number of rows y, will be increased by 1

New Total Marbles=x+5

(x+5)/13=y+1.....(ii)

x+5=13(y+1)

x=13y+13-5

x=13y+8

From (I)

x=13y+R

Comparing the values of x derived from (I) and (ii)

13y+R=13y+8

Therefore the Remainder, R= 8

5 0

4 years ago

What is the answer to 475/4=

SVETLANKA909090 [29]

The answer to that would be 118.75

8 0

3 years ago

Read 2 more answers

Find the distance and the midpoint of the line segment with endpoints (-1,4) and (-5,3)

Marina CMI [18]

Answer:

see explanation

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 1,4) and (x₂, y₂ ) = (- 5, 3)

d = $\sqrt{(-5+1)^2+(3-4)^2}$

= $\sqrt{(-4)^2+(-1)^2}$

= $\sqrt{16+1}$ = $\sqrt{17}$ ≈4.12 ( to 2 dec. places )

To find the midpoint use the midpoint formula

[0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]

Using the same points as above then

midpoint = [0.5(- 1- 5), 0.5(4 + 3 ) ] = [0.5(- 6), 0.5(7) ] = (- 3, 3.5 )

4 0

4 years ago

Whats the product of (3-2i) and (7+6i)?​

Whats the product of (3-2i) and (7+6i)?