Which expression is equivalent to (4+3i)^2+(6-I)^2

solution

Mean of two smallest number (3+5 =8/2) =4

Mean of all the three (3+5+19 =27) 27/3 = 9

so the mean of two largest number is 19+5 = 24 /2 = 12

Final Answer

The mean of two largest Number is 12

Answer:

21/22 or 0.955 (3 sf)

43/66 or 0.652 (3 sf)

Step-by-step explanation:

P(atleast 1 Democrat)

= 1 - P(no Democrat)

= 1 - (6C4/11C4)

= 1 - 1/22 = 21/22 or 0.955 (3 sf)

P(atleast 2 Democrats)

= 1 - P(0 or 1 Democrats)

= 1 - 1/22 - (6C3×5C1)/11C4

= 1 - 1/22 - 10/33

= 43/66 or 0.652 (3 sf)

The probabilities that the new subcommittee will contain at least 2 Democrats are 0.955 (least 1) and 0.652 (least 2).

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

To calculate the probability that the new subcommittee will contain at least 1, Democrat

⇒ 1 - P(no Democrat)

⇒ 1 - (⁶C₄/¹¹C₄)

⇒ 1 - 1/22

⇒ 21/22

⇒ 0.955

To calculate the probability that the new subcommittee will contain at least 2, Democrat

⇒ 1 - P(0 or 1 Democrats)

⇒ 1 - 1/22 - (⁶C₃×⁵C₁)/¹¹C₄

⇒ 1 - 1/22 - 10/33

⇒ 43/66

⇒ 0.652.

Thus, the probabilities that the new subcommittee will contain at least 2 Democrats are 0.955 (least 1) and 0.652 (least 2).

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Answer:

y = - [tex]\frac{3}{2}[/tex] x

Step-by-step explanation:

Given that x and y vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = - 4, y = 6, thus

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{6}{-4}[/tex] = - [tex]\frac{3}{2}[/tex]

y = - [tex]\frac{3}{2}[/tex] x ← equation of variation

Answer:

6

Step-by-step explanation:

3/4 to get the common denominator of 8 would be 6/8. Then, divide by 1/8 to get 6.

48 ⅛-pint tubes can be filled.

To find out how many tubes can be filled:

Convert ¾ pint to eighths: ¾ pint = 6 eighths

Divide the total eighths by the eighths per tube: 6 eighths ÷ ⅛ eighths per tube = 6 ÷ 0.125 = 48 tubes

So, from a ¾-pint bottle of hydrogen peroxide, 48 ⅛-pint tubes can be filled.

Answer:

The number is 2 . -angie:) .  pls mark me brainliest!

Step-by-step explanation:

Let x be the number.

Equation is

x

−

12

=

6

−

8

x

x

+

8

x

=

6

+

12

9

x

=

18

x

=

2

The correct option is A. Paying for a drum set in six months and receiving the drum set today.

Purchasing is the organized acquisition of goods and services on behalf of the buying entity. Purchasing activities are needed to ensure that needed items are obtained in a timely manner and at a reasonable cost.

here, we have,

Given that,

From the options provided, we must choose the best one.

Consider the provided information.

When you make a purchase that must be paid for over a period of time but gets delivered today, this is referred to as a delayed purchase.

For example:  

When you could buy a hot tub today and pay for it over 39 weeks.

Now consider the provided option.

The correct option is A)

Therefore, The correct option is A. Paying for a drum set in six months and receiving the drum set today.

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Answer:

108 cm^2

Step-by-step explanation:

Base: 6 × 6 = 36 (÷2 = 18)

Faces: 10 × 6 = 60 (÷2 ×3 = 90)

Add: 18 + 90 = 108

I'm guessing the "-ins" is "fifths". A fifth of 25 is 5 (25/5), so multiplying 5 by 4 will get you four-fifths. 20 students like football.

Answer:

9 hrs and 10 mins

Step-by-step explanation:

We can convert this into a proportion. 50/45 = x/495. Cross-multiply to get 45x = 50*495. Divide both sides by 45 to get x = 50*11 = 550 minutes or 9 hrs and 10 mins

Answer: 445.5 minutes

Step-by-step explanation:

Hi, to answer this we have to apply a proportion:

Proportion: square feet / time (minutes)

Tim installs 50 square feet of his floor in 45 minutes: 50/45

For 495 square feet: 495/x

Where x is the time it takes Tim to install 495 square feet of his floor.

50ft/45min = 495ft/x min

Solving for x

x = 495 / (50/45)

x= 445.5 minutes  

This is an isoscele trapezoid, because the 2 sides are equal and the bases are parallel.

This means:

5x+45=20x

y=z

5x+45=20x, 45=15x, x=3

The sim of all angles is 360⁰.

2×20x+y+z=2×60+2y=360

60+y=280, y=z=120⁰

Answer: x=3, y=z=120⁰

well, as we can see from the tickmarks on the slanted sides, they're equal, meaning is an isosceles trapezoid, meaning the angles up above are equal to each other, and the angles down below are also equal to each other, namely.

z = y and 5x + 45 = 20x.

[tex]\bf 5x+45=20x\implies 45=15x\implies \cfrac{45}{15}=x\implies \boxed{3=x} \\\\\\ 5x+45\implies 5(3)+45\implies \blacktriangleright 60 \blacktriangleleft\impliedby 20x[/tex]

well, the sum of all interior angles in a polygon is

180(n - 2), where n = sides

this trapezoid has 4 sides, so the sum of all its interior angles is 180(4 - 2) = 360°.

well, we know that the angles above are 60° each, so that's 120° for those, and 360° - 120° = 240°, so "z" and "y" will evenly split 240°, namely ∡z = ∡y = 120°.

To determine the number of different ways a math teacher can select 6 students from a class of 30, we use the combination formula C(30, 6) = 30! / (6! * (30 - 6)!), which gives us 593,775 different possibilities. Therefore, the correct answer is C, 593,775.

The math teacher needs to select 6 students from a class of 30 students to go to the library, which is a combinatorial problem in mathematics. The number of ways to choose k students from a group of n students without regard to the order is given by the combination formula:

C(n, k) = n! / (k! * (n - k)!), where n! is the factorial of n and equals n multiplied by all positive integers less than n, and k is the number of students chosen.

Applying the formula for our situation:

C(30, 6) = 30! / (6! * (30 - 6)!)
= (30 * 29 * 28 * 27 * 26 * 25) / (6 * 5 * 4 * 3 * 2 * 1)
= 593,775

So there are 593,775 different ways the teacher can select 6 students from a class of 30. Hence, the correct answer is C, 593,775.

4+3 => 180

Angle3=180-40=140

Answer:140

Step-by-step explanation: trust me i took the test and got it right

Answer:

A, C, and E but I could be wrong.

Step-by-step explanation:

A because 50 - 17 = 33 so -33 will be your answer for that one.

C because the answer of 50 - 17 = 33.

E because 17 + 23 = -40 so the difference between the pelican and the trout is -40 feet altogether.

The exact volume of the cylinder is 375π cm³.

Solution:

Given image is a cylinder.

Radius of the cylinder = 5 cm

Height of the cylinder = 15 cm

The value of π = 3.14

Volume of the cylinder = πr²h

                                      =  π × 5² × 15

                                      = π × 25 × 15

                                      = π × 375

Volume of the cylinder = 375 π cm³

The exact volume of the cylinder is 375π cm³.

Answer:

-189

Step-by-step explanation:

If you continue the pattern by multiplying the term by -3, you will eventually get -189 as the 6th term

Answer:

$712.50

Step-by-step explanation:

Answer:

=712.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

A linear expression has the highest power of the variable to 1, i.e ax+b

So, in this case the questions is not well presented

But looking at options C.

6x

This is linear expression when compare to ax+b, but b=0

Looking at option D

7

This is also a constant and it is linear.

But the best answer is C because it is an expression that has variable x and it is function of x.

Answer:

63945

Step-by-step explanation:

Answer:

Step-by-step explanation:

72.5*24.5*36=

145*49*9=

63945

Answer: 660 cm²

Step-by-step explanation:

Surface area of a cylinder = 2πr² ± 2πrh = 2πr ( r + h )

π = 22/7

r = 6 cm

h = 11.5 cm

Lateral surface area = 2 x 22/7 x 6 ( 6 + 11.5 )

= 660 cm²

Answer:

54 cans

Step-by-step explanation:

8 Tennis ball launchers.

Each hold 27 balls.

One can = 3 balls.

We have 27 * 8 total balls which is equivalent to 216.

We want to find 3/4 of the total which is 216 * 0.75.

This is then = to 162

Since one can holds 3 balls.

162/3 = 54 cans.

Therefore, to fill the total of 3/4 of launchers within a lesson, 54 cans of tennis balls will be needed.

Answer:

Number of cans is 6.75

Step-by-step explanation:

According to the question,

One launcher holds 27 tennis balls

3/4 launcher hold y tennis balls

Cross multiply

Y= 3/4×27

Y= 81/4

Y= 20.25 tennis balls

To determine the number of cans

One can holds 3 tennis balls

Z can holds 20.25 tennis balls

Cross multiply

3z= 20.25

Z= 20.25/3

Z=6.75 cans

Answer:

radius of the cylinder = 3inches (to the nearest tenth)

Step-by-step explanation:

the height of the cylinder = 6inches

volume of water in the cylinder = 60inces³

radius of the cylinder =?

π = 3.14

recall that ,

the fomular for finding the volume of a cylinder  = πr²h

the volume of a cylinder  = πr²h

the volume of a cylinder  = 3.14 × r² × 6

60 = 18.84r

divide both sides by 18.84

60/18.84 = 18.84r/18.84

= 3.184

radius of the cylinder = 3inches (to the nearest tenth)

Answer:

The greatest common factor of 12 and 44 is 4.

The greatest common factor of 12 and 44 is 2 obtained by prime factorization.

The LCM of two or more numbers is the least common multiple of them.

The HCF of two or than two given numbers are the highest number that divides them completely.

We also know that distributive property states a(b + c) = ab + ac.

Given, Are two numbers 12 and 44.

Now, Writing them as a product of prime factors,

12 = 2 × 2 × 5.

44 = 2 × 2 × 11.

So, The only common factor is 2, Hence the HCF of 12 and 44 is 2.

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Answer:

18.84

Step-by-step explanation:

The formula for length of the circle is =

[tex]\pi \times d[/tex]

Therefore

[tex]\pi \times d = 3.14 \times 12 \\ = 37.68[/tex]

Therefore the Arc length =37.68/2

=18.84

Check the picture below.

so, whenever we  have a line coming from a vertex in a right triangle, like in this case, and drops to a perpendicular line, we end up with 3 similar triangles, as you can see in the picture, thus we can use proportions to get the sides, we'll use those proportions in the picture in blue.

[tex]\bf \stackrel{large}{\cfrac{14}{16}}=\stackrel{medium}{\cfrac{c}{14}}\implies \cfrac{7}{8}=\cfrac{c}{14}\implies 98=8c\implies \cfrac{98}{8}=c\implies \boxed{\cfrac{49}{4}=c} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{we know that}}{c+d=16}\implies d = 16 -c\implies d = 16-\cfrac{49}{4}\implies \boxed{d = \cfrac{15}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{small}{medium}\qquad \qquad \cfrac{e}{c}=\cfrac{d}{e}\implies e^2=cd\implies e=\sqrt{cd}\implies e = \sqrt{\cfrac{49}{4}\cdot \cfrac{15}{4}}[/tex]

[tex]\bf e = \sqrt{\cfrac{660}{16}}\implies e = \sqrt{\cfrac{4\cdot 165}{16}}\implies e = \sqrt{\cfrac{165}{4}} \\\\\\ e = \cfrac{\sqrt{165}}{\sqrt{4}}\implies \boxed{e = \cfrac{\sqrt{165}}{2}}[/tex]

The interest paid is Rs 10000

The rate of interest  is  20%

Step-by-step explanation:

Step 1 :

Amount  borrowed by Mr. Satyal = Rs 50000

Amount repaid  = Rs 60000

Interest is charged on the principal amount and the amount repaid will be the sum of the interest paid plus the principal amount

Hence the interest paid is 60000 - 50000 = Rs 10000

Step 2:

The rate of interest is  calculated as follows :

Divide the interest calculated by the principal amount and is expressed as percentage.

Hence the interest rate  = [tex]\frac{10000}{50000}[/tex] × 100 = 20%

Step 3 :

The interest paid is Rs 10000

The interest rate  is  20%

Answer:

SSS~

Step-by-step explanation:

All three sides between the two triangles are proportional (4/12 = 4/12 = 7/21)

The explanation regarding the each pair of triangles should be similar is explained below:

The following information should be considered:

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Answer:

L = 90 inches

W = 30 inches

Step-by-step explanation:

Give the length of a rectangle L is three times the width

That’s

L = 3w

And perimeter = 240 inches

Recall that the perimeter of a rectangle is given by

P = 2(L + W)

L = 3w

We now have two equations

Now substitute 3w for L in The above formula and 240 for P.

We have

240 = 2(3w + w)

Distribute 2 into (3w + w)

240 = 2 x 3w + 2 x w

240 = 6w + 2w

240 = 8w

Divide both sides by 8

240/8 = 8w/8

30 = w

W = 30inches

Now substitute 30 for w into either of the above equations to get L .

Using

L = 3w

L = 3 x 30

L = 90 inches

L = 90 inches and

W = 30 inches

The football game would end at 2:48

11:32 + 3 hours = 2:32

2:32 + 16 minutes = 2:48

Hope this helps :)

Answer:

=$506.25

Step-by-step explanation:

area=15×9=135

1m²=$3.75

135m²=?

135×3.75÷1=506.25