What is the product of ( 4 + 3 i ) and ( 12 − 2 i )

Answers

Answer 1

Answer:

Step-by-step explanation:

(4+3i)(12-2i)

48 - 8i + 36i - 6i^2

48 + 28i +6

54 + 28i


Related Questions

when amy us doing he homework, she writes the divisor 76 as 67 by accident, and the result is a quotient of 15 and a reminder of 5. what is the correct quotient?

Answers

Answer:

  13 r 22

Step-by-step explanation:

The dividend of Amy's division problem is d such that ...

  d/67 = 15 +5/67

Multiplying by 67, we get ...

  d = 15(67) +5 = 1010

When this is divided by 76, the result is ...

  1010/76 = 13 22/76

The correct quotient is 13 remainder 22.

whats 2x-3=67= pls HELP BRAINLy

Answers

Answer:

2x-3 = 67

2x = 67+3

2x = 70

x = 35

Answer:

x= 35

Step-by-step explanation:

The following thermometer indicates the temperature in degree centigrade at 6:00 am. If the temperature increases one degree every 30 minutes. At what time the temperature will reach 20 degrees ?

A 7:15
B 7:30
C 7:45
D 8:00

Answers

Answer:

i think (C)

Step-by-step explanation:

hope this helps you

help me with this math question

Answers

the answer is 13 i just put it in the calculator

Answer:

Its Answer is 13

Step-by-step explanation:

2y + 3 (x - y) + x2

the interquartile range of the data set is 4. 2, 2, 3, 3, 4, 5, 5, 6, 7, 9, 12 which explains whether or not 12 is an outlier?

Answers

Answer:

12 is not an outlier as it is not greater than 13.

Step-by-step explanation:

2, 2, 3, 3, 4, 5, 5, 6, 7, 9, 12

Median = 5

Q₁ = 3 (3rd term in sequence)

Q₃ = 7 (9th term in sequence)

IQR = 4

Outliers are either values significantly larger or smaller than the rest of values;

The upper limit is the value above which it can be considered an outlier, it is found by: Q₃ + ³/₂(IQR)

The lower limit is found by: Q₁ - ³/₂(IQR)

Outliers < 3 - ³/₂(4)

Outliers < -3

Outliers > 7 + ³/₂(4)

Outliers > 13

The lower limit is -3 and the upper limit is 13

How many lines of symmetry does the figure have?


0

6

4

5

Answers

The answer is 5 lines of symmetry

I can't find Y, please help!

Answers

Answer:

x = 50 and y = 10

Step-by-step explanation:

The drawing shows several equal sides.  The triangles are a reflection of each other, so their angles will be the same.

Take the top and bottom angles:

2x + 5 and 3x - 45

They are equal, so:

2x + 5 = 3x - 45

-x = -50

x = 50

The angle y will have the same value as the one below it in the bottom triangle.  Add the angles in the lower triangle and since the sum of the angles in a triangle is always 180, we can say:

y + (8y-15) + (3x-45) = 180

Rearrange:

y  = 180 - (8y-15) - (3x-45)

y  = 180 - 8y + 15 - 3x + 45

9y = 180 + 15 - 3x + 45

Since x = 50:

9y = 180 + 15 - 3*(50) + 45

9y = 180 + 15 - 150 + 45

9y = 90

y = 10

y - 12 = 89
y - 12 +____
=89 + 12
y=?

Answers

the answer is y=101 ! :)

Answer:101

Step-by-step explanation:

A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown. A cone is shown. The top of the cone is cut off to form a frustum of the bottom portion. The cone has a radius of 3. 5 and a height of 8. The frustum has a height of 11 and a radius of 7. 5. Which expression represents the volume, in cubic units, of the frustum? One-thirdĎ€(7. 52)(11) â€" One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(11) One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(19) â€" One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(19) One-thirdĎ€(3. 52)(8).

Answers

The expression that represents the volume of the frustum in cubic units is [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex][tex]units^3[/tex]

The formula for calculating the volume of a cone is expressed as:

[tex]V=\frac{1}{3} \pi r^2h[/tex]

r is the base radius of the coneh is the height of the cone

The volume of the frustum will be expressed as:

Vf = Volume of the larger cone - Volume of the smaller cone

The volume of the larger cone  = [tex]\frac{1}{3} \pi (7.5)^2(11+8)\\[/tex]

The volume of the larger cone = [tex]\frac{1}{3} \pi (7.5)^2(19)\\[/tex]

The volume of the smaller cone = [tex]\frac{1}{3} \pi (3.5)^2(8)\\[/tex]

Taking the difference in volume:

Volume of the frustum = [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex]

Therefore the expression that represents the volume of the frustum in cubic units is [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex][tex]units^3[/tex]

Learn more about volume of frustum here: https://brainly.com/question/1273042

Kaya rented a limousine for prom. There was one-time charge of $100, plus an hourly rate of $45. Her total cost for the night was 347.50. How many hours did kaya rent the limo for?

Answers

Answer:

Kaya rented the limo for 5 hours and 30 minutes.

Step-by-step explanation:

Answer:

Kaya rented the limo for about 5 hours and 30 minutes.

       

                    Hope this helps! good luck :)

(9x-3)+(5x+5)+2(7x-15)=168 what is the value for x

Answers

Answer:

x = 3

Step-by-step explanation:

(9x - 3) + (5x + 5) + 2(7x - 15) = 168=> 9x - 3 + 5x + 5 + 14x - 30 = 168=> 9x + 5x + 14x - 28 = 168=> 28x = 168 + 28=> 28x = 196=> x = 3

Conclusion:

Therefore:

x = 3

Hoped this helped.

[tex]GeniusUser[/tex]

Help me with number 32 please

Answers

Answer:

cant give you a answer but theres this app called gauth math try that its really helpful

Step-by-step explanation:

Evaluate. 4/9 + 4/5 (2/3)^2 Write your answer in simplest form.

Answers

Answer:  25/27

Step-by-step explanation:

4/9 + 4/5 (2/3)^2

4/9 + (4/5)(4/9)

4/9 + (16/54)

24/54 + 16/54

50/54

25/27

Answer:4/5

Step-by-step explanation:

if 10 servings are 4 ounces how many ounces is 7 servings

Answers

Answer:

2.8 ounces

Step-by-step explanation:

4/10= 0.4

0.4*7= 2.8 ounces

Answer:

2.8 ounces per 7 servings.

Step-by-step explanation:

set a proportion

10 servings 7 servings

---------------- = ---------------

4 ounces x ounces

7/10 = 0.7

4 x 0.7 = 2.8

x = 2.8

How many solutions to a system does the graph below show?

This is not a graph of a system of equations. Infinite Solutions
One Solution
No Solutions​

Answers

Answer: Check explanations

Step-by-step explanation: When lines are parallel, then there are infinite solutions (the answer), if they are intersecting there is only 1 solution, which is the point where the lines intersect, and if they aren't intersecting or parallel, then No solutions.

Find the distance between each pair of points. Round to the nearest hundredth. (-4,5) and (4,0)

Answers

See attached picture

1*-2(8d-3e)=

a*16d-6e

b*-16d+6e

c*-16d-6e

??????????
2*1/3(3x-9y)-2/5(10x-15y)=
a*3y-3x
b*3x-3y
c*-3x-3y
??????

Answers

Step-by-step explanation:

2⋅13⋅(3−9)−1⋅25(10−15)=⋅3−3⋅3−3(−3)−3

\frac{2 \cdot 1}{3} \cdot (3x-9y)-1 \cdot \frac{2}{5}(10x-15y)=a \cdot 3y-3xb \cdot 3x-3yc(-3)x-3y

what would the equation be??​

Answers

Answer:

y = 4x + 8

Step-by-step explanation:

Firstly, choose 2 points ( I chose [2,11] and [4,19] ) use y2-y1/x2-x1 to find your slope of 4, next use one of the points to find your y-intercept, plug the two coordinates into your equation to get 11 = 4 (2) + b , after simplifying, your answer is y = 4x + 8

Brainliest would be appreciated. :-)


Need help on 19-21 homeowrk I don’t need the rest I couldn’t crop out so only 19 throught 21

Answers

Answer:

19. 7, 20. 4, 21. 1

Step-by-step explanation:

19. 21 = 3 x 7, 49 = 7 x 7, So they both share 7

20. 8 = 2 x 2 x 2, 52 = 2 x 2 x 13, they both have 2 x 2

21. 32 = 2 x 2 x 2 x 2 x 2, 81 = 3 x 3 x 3 x 3, they have nothing in common, so they share a 1.

find the perimeter and area?

Answers

Answer:

P = 51 units

A = 137 units^2

Step-by-step explanation:

P = 5+5+7+11+7+16 = 51 units

A = 5x5 + 16x7 = 137 units^2

Hope that helps

Ok done. Thank to me :>

i have some free things for yaaal​

Answers

1+1=

Step-by-step explanation:

what are the free things

pls give me brainliest

100 points


Suppose a recipe calls for 2 1/2 cups of liquid made of milk and water. If 1 2/3 cups of milk are used, how much water is needed?

Answers

Answer:

1/3 * 3 = 1 cup of milk

1/2 * 3 = the amount of water needed per cup of milk

1/2 * 3 = 3/2 or 1.5

The recipe calls for 1.5 cups of water per cup of milk.

Hope this helps!

The quantity of water in the liquid is 5/6 cups

How to subtract fractionTotal cups of liquid (milk and water) = 2 1/2 cups

If cups of milk = 1 2/3 cups

Water = Total cups of liquid - cups of milk

= 2 1/2 - 1 2/3

= 5/2 - 5/3

The least common denominator is 3× 2 = 6

= (15-10) / 6

= 5/6 cups

Learn more about fraction:

https://brainly.com/question/11562149

Miranda bought oranges which are sold in a bag of 5 for $2. The next day she bought 20 oranges which was $8. What is the table for this problem? (Create a table with the information above with at least 5 ordered pairs)

Answers

Answer:

I think the answer is $170

help stranger's ( ◜‿◝ )​

Answers

Answer:

what is the question in this picture

A line has a y-intercept of 3 and a slope of -1 /8. What is its equation in slope-intercept form

Answers

Answer:

-1/8x+3

Step-by-step explanation:

Answer:

y = -1/8x+3

Step-by-step explanation

your slope intercept form should be written as y=mx+b

m = slope = -1/8

y intercept = b = 3

now just replace m and b with your values

y = -1/8x+3

A number cube labeled 1 through 6 is rolled 5 times. What is the probability of landing on 5 each time?

Answers

Answer:

1/6

Step-by-step explanation:

can i get brainliest pls

Need help ASP TWT……….

Answers

Answer:

C srry if im wrong

Step-by-step explanation:

best answer gets brainiest

what is the circumference and the mass of Jupiter and Saturn combined?

Answers

Mercury

Mercury is the smallest planet in the solar system. Its circumference is merely 9,522 miles, and its area totals 28,873,225 square miles. It is a terrestrial planet with a surface covered in craters, and its close proximity to the sun sometimes results in surface temperatures as high as 800 degrees Fahrenheit. Its lack of heat-retaining atmosphere, though, can cause nighttime temperatures nearing 300 degrees Fahrenheit. Besides its faint, occasional twilight appearances, Mercury is indirectly visible from Earth about a dozen times per century as it passes across the sun.

Venus

Venus is similar to Earth in size, with a circumference of 23,617 miles and an area of 177,628,840 square miles. Venus’ atmosphere contains clouds of sulfuric acid, which reflect sunlight, allowing Venus to appear brighter than other planets from Earth. Its atmosphere traps heat and can cause surface temperatures of almost 900 degrees Fahrenheit; this sweltering heat has destroyed all probes that have landed on the planet. Over a thousand volcanoes are strewn across Venus’ surface.

Brought to you by Sciencing

Earth

The third planet from the sun is Earth, the only planet known to contain life. Its circumference is just greater than that of Venus at 24,889 miles. Of its total area -- 197,280,733 square miles -- 70 percent is covered by oceans. It orbits the sun at a distance of nearly 93 million miles on a tilted axis of over 23 degrees, creating four distinct seasons. Earth’s uniquely thin, but powerful atmosphere alters both climate and weather, protects inhabitants from the sun’s radiation and acts as a shield for meteors.

Mars

Having a circumference of 13,256 miles and an area of 55,963,741 square miles, Mars is the second smallest planet in the solar system. This terrestrial planet, known as the “Red Planet” due to its color of soil, has some notable geological features including tremendous volcanoes and a canyon system that stretches the width of the United States. Though its temperatures are too low for liquid water to remain on its surface, Mars has polar ice caps that expand and shrink according to the shift in seasons.

Jupiter

The largest planet in the solar system -- with a circumference of 278,985 miles and an area of 24,787,374,965 square miles -- is Jupiter. This gas giant is the fifth from sun and has 63 moons of its own, four of them the size of planets. Its unusual coloring is a product of visible ammonia clouds and stripes formed by east-west winds creating dark belts and light zones. These “stripes” are full of storm systems that have endured for many years, including the spinning storm known as the Great Red Spot, which is over 300 years old.

Saturn

At 235,185 miles in circumference and 17,615,265,865 square miles in area, Saturn is the sixth planet from the sun and the second largest gas giant. Its composition is mostly hydrogen and helium, while its famous rings are deceptively complex: primarily made of water ice, some braided or spoked in appearance. Saturn’s own banded appearance is the result of gusts in the upper atmosphere many times the speed of hurricane winds. Saturn has 52 known moons, two of which orbit within its rings.

Uranus

Uranus, the seventh planet from the sun, is another gas giant. It measures 99,739 miles in circumference and 3,168,132,663 square miles in area. Its blue-green appearance is a result of methane gas in its atmosphere. It rotates on a nearly horizontal axis, perhaps due to a collision with another planetary body far in the past, but the resulting seasons are not very distinct due to its distance from the sun. Uranus has 11 rings -- which are uniquely perpendicular to its orbit -- and 27 known moons.

Neptune

Nearly three million miles from the sun, Neptune -- measuring 96,645 in circumference and 2,974,591,827 square feet in area -- takes over 150 years to complete its orbit. It cannot be seen by the naked eye from Earth, despite its intense blue color, a product of atmospheric methane. Among Neptune’s distinguishing features are winds many times the strength of Earth’s, 13 known moons, six rings and a raging hurricanelike storm known as the Great Dark Spot large enough to encompass the Earth.

Answer:

Total Circumference = 514, 170 miles

Total Mass = 2, 467, 000, 000, 000 metric tons

Step-by-step explanation:

hope this helps you

8 out of 45 students want lemonade and the rest want iced tea. What is the ratio of the number of students who want lemonade to the number of students who want iced tea?

Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.

Answers

Answer:

8/37

Step-by-step explanation:

People who wants iced tea = 45 - 8

People who wants lemonade = 8

8 (lemonade) / 37 (iced tea)

Hi! im not sure if my answer is correct or not can someone check me :)

Answers

it is correct goodluck
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