) Alon started in 60% of his team's basketball games this season. He started a total of 12 games. About how many games did Alon's team play this season? *

After multiplication of pair of complex numbers, the results of product are respectively 45, 41, 73

The complex number is a combination of real number and imaginary number. The representation of complex number is like, a + bi.

where a is real part and b is imaginary part, the value of i is √-1.

i × i = -1

i⁴ = 1

Given that, pair of complex numbers

(6 +3i )×( 6 - 3i) =  6×6 -6×3i + 6×3i - (3i × -3i)

                         = 36 - 18i + 18i + (-3i × 3i)

                         =  36 + 9

                         =  45

(4-5i) × (4+5i)   =  4×4 + 4×5i - 4×5i - (5i × -5i)

                        = 16 - 20i + 20i + (-5i × 5i)

                        = 16+25

                        = 41

(-3+8i) × (-3-8i) = -3×-3 + (-3× -8i) - 3×8i + (8i × -8i)

                        = 9 +24i-24i +64

                        =  73

Hence, The result of products are 45, 41, 73

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Answer: (6 + 3i)(6 − 3i) = 45, (4 − 5i)(4 + 5i) = 41, (−3 + 8i)(−3 − 8i) = 73

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Area of the triangle =(height x base ) /2

A=(17x12)/2

A=102

the area of the triangle is 102

Answer:

Step-by-step explanation:

a₂₁ = -10 + 5(21) = 95

Answer:

okay bro, but I need some time

Answer:

72

Step-by-step explanation:

.75x96=72

Answer:

84 inches

Step-by-step explanation:

12 inches are in 1 foot, so you take the number of feet (28) and multiply by the number of inches in a foot (12)

28×12=336 (inches)

then you take 336 and divide by 4 to get your 4 equal pieces.

336 divided by 4 = 84, 84 inches

Answer:

a triangle, I'm guessing 20ft and 24 ft on the outsides,

would be:

Equation to get the area of a triangle: (A*B)/2

(20*24)/2=Area

20*24= 480

480/2= 240

area= 240

Answer: 240 ft²

Step-by-step explanation:

1. Multiply the base and the height.

2. Divide the product you get by 2.

=> 20 * 24 = 480

=> 480 / 2 = 240

Answer:

I believe the answer is $455

Answer:

the answer from IXL is $455

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

25%

delta math

Answer:

B. -1/3

Step-by-step explanation:

replace x with 34 and solve it.

The correct statement is one in six chance of rolling a two.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

A dice is thrown.

So, the chances of getting 2 is 1/6

and, the chance of getting odd number is 3/6 or 1/2.

and, the chance of getting six is 1/6.

So, the correct statement is

one in six chance of rolling a two

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Answer:

I plot the points to a graph but I don't have access to a 14 I only have a 10 grid graph but I was able to plot the other points this is wht I got

Step-by-step explanation:

let me know if u can't see it..... I would say it's nonlinear

Answer:

Step-by-step explanation:

Given the expression 3 * 2 2/3

This can also be expressed as;

3 * 2 2/3

= 3 * 8/3

= (24/3)

= 8

hence the product of both numbers is 8

The equivalent value of the fraction is A = 8

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first fraction be represented as p

Let the second number be represented as q

Now , A = pq

when the value of p = 2 2/3

And , when the value of q = 3

On simplifying the equation , we get

A = ( 2 2/3 ) / ( 3 )

So , the left hand side of the equation is equated to the right hand side by the value of ( 2 2/3 ) / ( 3 )

A = ( 2 2/3 ) / ( 3 )

A = ( 8/3 ) / ( 3 )

On simplifying , we get

Multiply by 3 on the fraction , we get

A = ( 8 x 3 ) / 3

A = 8

Therefore , the value of A = 8

Hence , the fraction is A = 8

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Answer:

0.30

Step-by-step explanation:

$6 Total

20 markers

6/20=0.30

0.3 per maker.

Cost of 1 marker is $0.30

Answer:

you'll need 20 cups of cranberry

Answer:

C. 2.7 repeating

Step-by-step explanation:

25/9 = 2.777777777777777

Answer:

69

Step-by-step explanation:

4x3=12

9x5=45

2x6=12

45+12+12=69

Answer:A

Step-by-step explanation:

X=2(y+1)^2-6

The equation in the standard form is x = 2(y + 1)² – 8. Then the correct option is B.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

Convert –2y² + x – 4y + 6 = 0 into standard form.

Simplify the equation, we have

x = 2y² + 4y – 6

x = 2(y² + 2y) – 6

x = 2(y² + 2y + 1) – 2 – 6

x = 2(y + 1)² – 8

Then the correct option is B.

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Answer:

The war started mainly because of four aspects: Militarism, Alliances, Imperialism and Nationalism. This is because big armies become potential threats to other countries, other countries started forcing alliances in order to secure land. ... The overall cause of World War was the assassination of Archduke Franz Ferdinand.

Step-by-step explanation:

Answer:

20X=200 because an equation contains LHS and RHS

Since there is a negative on the y term, we need to get rid of that and thus flip the sign at the same time. Getting.

-43>8/3y

Now we just need to divide 8/3 on both sides dividing 8/3 on left can also be written as *3/8

-43*3/8>y

Now flip this entire equation

y<-43*3/8

y<-129/8

If your teacher want you to calculate just divide the fraction, but I recommend not to if your teacher don't ask for it and just leave it this way.

Hope it helps! :D

Answer:

B Barney stops less than a foot from the car.

Step-by-step explanation:

From the information given:

The initial speed of barney [tex]v_o[/tex] = 25 mph

Coefficient of friction [tex]\mu[/tex] = 0.7

Recall that

1 mph = 0.447 m/s

Then

[tex]v_o[/tex] = 25 × 0.447 m/s

[tex]v_o[/tex] = 11.175 m/s

The force of friction acting on the barney is expressed as:

[tex]F = \mu N \\ \\ F = \mu mg[/tex]

[tex]ma = \mu mg[/tex]

[tex]a = \mu g[/tex]

a = 0.7 × 9.8 m/s

a = 6.86 m/s²

Since the force acts in an opposite direction to the motion of Barney, Thus the acceleration must also be negative.

a = -6.86 m/s²

Now;

Suppose Barney stops after traveling a  distance (s), so that the final speed is zero.

Then;

Using the kinematic equation;

[tex]v^2 - v_o^2 = 2as[/tex]

[tex]0 - (11.17)^2 = 2 \times (-6.86) s[/tex]

[tex]-124.76 = -13.72 s[/tex]

[tex]s = \dfrac{124.76}{13.72}[/tex]

s = 9.09 m

Recall that;

1 m = 3.28 ft

So;

s = 9.09 m = 9.09 × 3.28 ft

s = 29.81 ft

∴

The distance traveled by the Barney is 29.81 ft which implies that Barney stops less than a foot from the car.

9514 1404 393

Answer:

  ML = 7.5

Step-by-step explanation:

The parallel lines divide the transversals proportionally.

  ML/LK = JH/HG

  ML/10 = 6/8

  ML = 10(6/8) = 7.5

The length of ML is 7.5.

__

We don't need to solve for x. If ML = x-2, then x=9.5.

Answer:

5.75 days

Step-by-step explanation:

Given data

let the number of days be x and the number and the number of miles be y

so that the cost of the rental will be

c= 38.38x+ 0.14y---------1

we are told that the amount at hand is $270

hence

270=38.38x+ 0.14*(350)

solve for x

270= 38.38x+49

270-49= 38.38x

221= 38.38x

divide both sides by 38.38

x= 221/38.38

x= 5.75 days

Hence the  number of days is 5.75 days

Answer:

42.54 inches

Step-by-step explanation:

es la de por qué si no es nada malooo y tu qué haces con tu

Answer:

0.00006925

Step-by-step explanation:

[tex]2x + 3y - x - (8 + 1)[/tex]

[tex]2 x - x + 3y -9[/tex]

[tex]x + 3y - 9[/tex]

the value of the 5 in 590 is hundred

Answer:

thousands I think you can still double check if you want