Multiply −3i(−8 + 7i). What is the simplified version written in standard form, a + bi, where a and b are real numbers?−21 + 24i
21i2 + 24
21 + 24i
−4 − 11i

Answers

Answer 1
Answer: The answer is option two.
Answer 2
Answer: The second option is the correct answer.

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In 2000 there were about 2,172,000 farms in the United States. Twenty -four thousand of the farms were in South Carolina. What percent of the farms were in South Carolina? Round your answer to the nearest whole percent.
What is 16% of 140.
Solve for x: 4 - (x + 2) < - 3(x + 4)
The product of two numbers is a of both numbers. fill in the blank

A car traveled at a constant speed for 4 hours and covered 144.6 miles. It used 12 gallons of gas to travel this distance. How far did the car go in 1 hour? How far did the car travel on 1 gallon of gas?

Answers

The car travelled a distance of 36.15 miles in 1 hour. The car travelled a distance of 12.05 miles in 1 gallon of gas.

What is Unitary method ?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Using unitary method to solve the given problem -

It is given that a car traveled at a constant speed for 4 hours and covered 144.6 miles and also it used 12 gallons of gas to travel this distance.

  It took 4 hours to travel a distance of 144.6 miles.

  For 1 hour at constant speed, the car will travel 144.6/4 miles .

∴ For 1 hour at constant speed the car travels 36.15 miles.

  For 12 gallons of gas, the car travels 144.6 miles.

  For 1 gallon of gas, the car travels 144.6/12 = 12.05 miles

∴ For 1 gallon of gas, the car travels 12.05 miles.

Thus the car travelled a distance of 36.15 miles in 1 hour. The car travelled a distance of 12.05 miles in 1 gallon of gas.

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1 hour= 36.15 miles 
You get this when you divide the # of miles by the # of hours

1 gallon of gas= 12.05 miles
You get this because when you want to get to 1 gallon you just divide the miles it went by the amount of gas it took to get there

Tom and jasper have the same percentage of blue marbles in their bags of marbles. Tom had five blue marbles and 20 total marbles. jasper has 12 blue marbles. how many of jasper marbles are not blue?

Answers

First find the persentage of blue marbles
5/20 = 0.25
0.25 = 25%

Next find the persentage for the other marbles
100% - 25% = 75%

Now take 75% of Jasper's 12 marbles
12*0.75 = 9 marbles are not blue

What is the average of something (mean or mode) I really need to know I forgot what the difference was ho

Answers

The mean is the average, or when you add all the numbers and divide it by how many numbers there are. And the mode is how frequently some number appears in a set of numbers. (For example- 1,1,1, 4,9,1,6,13,6 ---> the mode is one.)
The difference between mean and mode is that mode is the number that shows up most often and the mean is all the numbers add up then divided by how ever many numbers you added

Work out the volume of this prism

Answers

We can see here that when we work out the volume of the prism using base area of 10 cm² and height of 15 cm, the volume of the prism we getis 150 cm³.

What is a prism?

A prism is a three-dimensional geometric shape that has two congruent and parallel polygonal bases connected by a set of parallelograms or rectangles called lateral faces. The bases of a prism are always polygons, and the lateral faces are always rectangles. The lateral edges of a prism connect corresponding vertices of the bases.

To find the volume of a prism, you can multiply the base area by the height. In this case, the base area is given as 10 cm² and the height is 15 cm.

Volume of the prism = Base area × Height

Volume = 10 cm² × 15 cm

Volume = 150 cm³

Therefore, the volume of the prism is 150 cubic centimeters (cm³).

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1500 cm 2 10x10=100 100 x 15 = 1,500

13) -4= -b -1/3b and -23/3= 1/2a + 5/3a

Answers

-4=-1b-(1/3)b

-4=-(4/3)b

-4/-(4/3)=b

b=3

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

(1/2)3+(5/3)2

3/6+10/6=13/6

-23/3=13/6a

(-23/3)/(13/6)=a

a=-46/13

Why did you multiply 15 by 3?

Answers

To get an answer which is....45
I'm assuming that you want to know what we get when we multiply 15 by 3.
15 * 3 = 45.

If you are confused, then read on. :)

The * symbol means you add 15 exactly 3 times. 15+15+15=45.

Let's take 3 * 2 for example. 3 * 2 is when you add 3 for a total of 2 times. 3 + 3 = 6. You can also say that 3 * 2 is when you add 2 for a total of 3 times. 2 + 2 + 2 = 6.

So 15 * 3 = 45.
15 + 15 + 15 = 45
and
3 + 3 + 3 + 3 + 3 + 3 + 3  + 3 + 3 + 3 + 3 + 3 + 3 +3 +3 = 45.

So the answer is 45. :)