please answer this question​

Please Answer This Question

Answers

Answer 1

Given that the variables are complex numbers, the value of the complex expression [tex]\frac{\gamma}{\alpha} +\bar{\frac{\alpha}{\beta}}[/tex] is -2

How to solve the complex expression?

The given parameters are:

[tex]\alpha + \beta + \gamma = 0[/tex]

[tex]\frac{1}{\alpha} + \frac{1}{\beta} + \frac{1}{\gamma} = 0[/tex]

Rewrite the first equation as:

[tex]\alpha + \beta = - \gamma[/tex]

Take LCM in the second equation

[tex]\frac{\alpha + \beta}{\alpha \beta} + \frac{1}{\gamma} = 0[/tex]

So, we have:

[tex]\frac{ - \gamma}{\alpha \beta} + \frac{1}{\gamma} = 0[/tex]

Rewrite as:

[tex]\frac{1}{\gamma} = \frac{\gamma}{\alpha \beta}[/tex]

Multiply through by [tex]\alpha[/tex]

[tex]\frac{\alpha}{\gamma} = \frac{\gamma}{\beta}[/tex]

Inverse both sides

[tex]\frac{\gamma}{\alpha} = \frac{\beta}{\gamma}[/tex]

Make [tex]\beta[/tex] the subject in [tex]\alpha + \beta + \gamma = 0[/tex]

[tex]\beta =-(\alpha + \gamma)[/tex]

So, we have:

[tex]\frac{\gamma}{\alpha} = \frac{-(\alpha + \gamma)}{\gamma}[/tex]

Expand

[tex]\frac{\gamma}{\alpha} = -\frac{\alpha}{\gamma}- 1[/tex]

This gives

[tex]\frac{\gamma}{\alpha} +\frac{\alpha}{\gamma} = - 1[/tex]

Make [tex]\gamma[/tex] the subject in [tex]\alpha + \beta + \gamma = 0[/tex]

[tex]\gamma = -(\beta + \alpha)[/tex]

So, we have:

[tex]\frac{\gamma}{\alpha} +\frac{\alpha}{-(\beta + \alpha)} = - 1[/tex]

Split

[tex]\frac{\gamma}{\alpha} +\bar{\frac{\alpha}{\beta}} + \frac{\alpha}{\alpha} = - 1[/tex]

Evaluate the quotient

[tex]\frac{\gamma}{\alpha} +\bar{\frac{\alpha}{\beta}} + 1 = - 1[/tex]

Subtract 1 from both sides

[tex]\frac{\gamma}{\alpha} +\bar{\frac{\alpha}{\beta}} = - 2[/tex]

Hence, the value of [tex]\frac{\gamma}{\alpha} +\bar{\frac{\alpha}{\beta}}[/tex] is -2

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Related Questions

why is the value 0.6 greater than the value of 0.39

Answers

Answer:

0.6 is 6/10 that is equal to 60/100.

0.39 is 39/100.

60/100 > 39/100

OR

0.6 is more than half and 0.39 is less than half.

Answer:

Yhe greater value of 0.39 is 1.50

Step-by-step explanation:

The area of the parallelogram below is
square meters.
9 m
2 m

Answers

18
=L*W
So it would be 9*2= 18

What is the volume of the following rectangular prism? 1 3/4 units
1/2 units

Answers

Answer :-

7/8 or 0.88

Explanation :-

Just recall the formula for the volume of a prism: area of the base times its height. Now, is common to associate the base of a prism to the side which serves as a ‘‘base’’, i.e., the one in the bottom from our perspective.

This formula is right, but not quite precise. A better formulation for the formula would be: ‘‘the volume of a rectangular prism is equal to the area of a side times its relative height’’. Notice that we only need to rotate a prism to have a different side as a basis.

In the figure we have that the area of the green side is 1/2, and its relative height is 1 3/4. Thus, its volume is

Solution :-

V=(1/2)*(1 3/4) = 7/8 = 13.5

Tyler spends 25 minutes studying mathematics, 35 minutes studying science and 40 minutes studying history. What percentage of his times is spent studying science?​

Answers

Answer:

35%

Step-by-step explanation:

35+25+40=100

Since the total is 100 we know that any number out of 100 will be that percentage.

Determine the measure of the missing angle
50 degrees
60 degrees
180 degrees
360 degrees

Answers

Answer:

x = 60

Step-by-step explanation:

Let x = ?

120 + 95 +85 +x =360

x +300 =360

x = 360-300

x = 60

Answer: 60

Explanation: Every polygon adds up to 360.
What you can do is 360 - 120 - 95 - 85 = 60.

OR

120 + 95 + 85 = 300
360 - 300 = 60.

Simplify (sin? 0 + cos² O) (sin 0 + cos O)

Answers

[tex](\sin^2 \theta + \cos^2 \theta)(\sin \theta + \cos \theta)\\\\=1 \cdot(\sin \theta + \cos \theta)\\\\=\sin \theta + \cos \theta[/tex]

Answer:

D: cos^3(O)

Step-by-step explanation:

A town has a population of 2000 and grows at 4% every year.
What will be the
population after 15 years, to the nearest whole number?

Answers

Answer:

3602 people in 15 years

Step-by-step explanation:

2000 ( 1 + .04)^n         .04 is 4%    n = years

2000 ( 1.04)^15 = 3602 people

What is the measure of the unknown angle?

Image of a full circle divided into two angles. One angle is one hundred twenty degrees and the other is unknown

Group of answer choices

210°

220°

Answers

Answer:

The answer is 240 degrees

Step-by-step explanation:

A full circle is 360 degrees.

We know one angle is 120 degrees.

360-120=240 degrees

Estimate the solution to the following system of equations by graphing.

3x + 5y = 14
6x - 4y = 9

A.(7/3,-7/2)
B.(-5/2,-7/2)
C.(5/2,4/3)
D.(4/3,5/2)

Answers

Answer:

Step-by-step explanation:

Draw the 2 lines of the equations on graph paper.

The coordinates of the point where they cross is the solution

The answer is (5/2, 4/3)

Answer:

C. (5/2, 4/3)

Step-by-step explanation:

The system of equations that are given are:

[tex]3x + 5y = 14[/tex][tex]6x - 4y = 9[/tex]

To solve, let's use the substitution method.

Note: The substitution method for solving two-order systems involves solving one equation using the terms of the other equation.

See Below:

So solving by substitution:

// Solve equation [2] for the variable  x

 [2]    6x = 4y + 9  [2]    x = 2y/3 + 3/2

// Plug this in for variable  x  in equation [1]

  [1]    3•(2y/3+3/2) + 5y = 14   [1]    7y = 19/2   [1]    14y = 19

// Solve equation [1] for the variable  y

  [1]    14y = 19   [1]    y = 19/14

// By now we know this much :

   x = 2y/3+3/2    y = 19/14

// Use the  y  value to solve for  x

   x = (2/3)(19/14)+3/2 = 101/42

Therefore, the solution is:

[tex]{x,y} =\frac{101}{42} ,\frac{19}{14}[/tex]

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

Terms and topics:

Linear equations with two unknownsSolving linear equations by substitution

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

Level:

Algebra l (Pre-algebra concepts)

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

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Find the volume of a
cone with a base radius of 5 yd and a height of 7 yd.
Write the exact volume in terms of Tt, and be sure to include the correct unit in your answer.

Answers

Answer:

[tex]\textsf{Volume}=\sf \dfrac{175}{3} \pi \:yd^3[/tex]

Step-by-step explanation:

[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

radius (r) = 5 ydheight (h) = 7 yd

Substituting the given value into the formula:

[tex]\begin{aligned}\implies\textsf{Volume} &=\sf \dfrac{1}{3} \pi (5^2)(7)\\\\&=\sf \dfrac{1}{3} \pi (25)(7)\\ \\&=\sf \dfrac{1}{3} \pi (175)\\ \\&=\sf \dfrac{175}{3} \pi \:yd^3\\\\\end{aligned}[/tex]

Answer:

To find :-

The volume of cone

Given :-

radius (r) = 5 yd

height (h) = 7 yd

Solution :-

The volume of cone

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

Substituting the value of 'r' and 'h' in the formula.

[tex] = \frac{1}{3} \times \frac{22}{7} \times {5}^{2} \times 7 \\ = \frac{1}{3} \times 22 \times 5 \times 5 \\ = \frac{550}{3} {yd}^{3} [/tex]

Result :-

[tex] \text {The volume of cone is} \frac{550}{3} {yd}^{3} [/tex].

[tex] \mathcal {BE \: \: BRAINLY} [/tex]

Select the correct answer from each drop-down menu. Graph shows 2 four-sided polygons in the first quadrant of a coordinate plane. First polygon is at A (3, 0), B (1, 0), C (1, 2), and D (3, 2). Second polygon is at A prime (6, 0), B prime (2, 0), C prime (2, 2), and D prime (6, 2). In the figure, polygon ABCD is transformed to create polygon A′B′C′D′. This transformation is a by a factor of .

Answers

This transformation of the polygon ABCD to A'B'C'D' is a by a factor of 2

How to determine the scale factor?

The coordinates are given as:

First polygon: A (3, 0), B (1, 0), C (1, 2), and D (3, 2). Second polygon: A' (6, 0), B'(2, 0), C'(2, 2), and D'(6, 2)

Calculate the distance AB and A'B' using:

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

This gives

[tex]AB = \sqrt{(3-1)^2 + (0-0)^2} = 2[/tex]

[tex]A'B' = \sqrt{(6-2)^2 + (0-0)^2} = 4[/tex]

Divide A'B' by AB to determine the scale factor (k)

k = 4/2

k = 2

Hence, this transformation is a by a factor of 2

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a gym teacher has a large canvas bag that contains 8 tennis balls, 2 volleyballs, 1 basketball, 3 baseballs, and 5 footballs. if you reach into the bag at random, what is the probability that you select a baseball

Answers

Answer:

Step-by-step explanation:

5+1+3+8+2=19

3/19 = 16%

can anyone help find the area pls !!

Answers

Answer:

6 m²

Step-by-step explanation:

it's a right triangle

AREA = 1/2 × l × w

so

1/2 * 4 * 3 =

2 * 3 =

6

Answer:

6 m^2

Step-by-step explanation:

This is a triangle and in triangles to find the area we use the following formula:

1/2*b*h (b: base, h: height)

The base of this triangle is 4m and the height is 3m

1/2*4*3 = 6

The area is presented with square units so the answer for this question is 6 m^2

It’s costs $79 to buy 5 tickets to a show.what is the cost of one ticket?

Answers

Answer:

79÷5=15.8

So the answer is (15.8)

What is the length of the missing leg?

Answers

Answer:

2.3

Step-by-step explanation:

4²+b²=4.6²

16+b²=21.16

-16 -16

b²= 5.16

b=√5.16

b= 2.3

Answer:

2.27 in   ~2.3 in to the nearest tenth

Step-by-step explanation:

It is a right triangle ....so yo can use pythagorean theorem

4^2 + b^2 = 4.6^2

b = 2.27

Mrs Ferguson is mailing a package that weighs 12.5 pounds. The post office charges by the ounce to mail a package. How much does the package weigh in ounces?

F. 187 ounces

G. 200 ounces

H. 192.5 ounces

J. 100 ounces

Answers

Answer: G

Step-by-step explanation:

1 pound equals =16 ounces

12.5 * 16=200

so 200 ounces.

Deanna uses only fruit juice and sparkling water to make
punch for a school dance. She uses 6 1/2 liters of fruit
juice. She uses 0.6 as much sparkling water as fruit
juice.

How much fruit punch does she make?
A : 3.9
B : 7.1
C: 9.4
D 10.4

I appreciate it thank you
May Allah bless you

Answers

The answer to the question is B

what is 8% of 40 as a decimal

Answers

Answer:

The answer is 3.2

Step-by-step explanation:

8 x 40________100 = 3.2

The price of shoes was reduced 20% if the original price of the shoes were $44, what is the sale price of the shoes?

Answers

Answer:

<3

Step-by-step explanation:

Here! I hope you have a great day/night

A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 35 ft long and 22Ft wide. Find the area of the garden. Do not round any intermediate steps. Round your final answer to the nearest hundredth and be sure to include the correct unit.

Answers

Answer:

Step-by-step explanation:

Area of rectangle: 35*22=770

Area of semi circle: 1/2pi(11)^2=60.5 pi

Area of garden 770+60.5 pi or 959.97 ft squared if pi =3.14

37 Answer:
Solve: 30% of what number is 54? _____
38 Answer:
Solve: 50% of what number is 38? _____
39 Answer:
Solve: 125% of what number is 65? _____
40 Answer:
Solve: 37.5% of what number is 96? ____
41 Answer:
Solve: 3.5% of what number is 7? _____
42 Answer:
Find the percent of increase: From 16 to 24 _____
43 Answer:
Find the percent of increase: From 24 to 32 _____
44 Answer:
Find the percent of decrease: From 32 to 24 _____
45 Answer:
Find the percent of increase: From 56 to 66 _____
46 Answer:
Find the percent of decrease: From 80 to 48 _____
47 Answer:
Use the formula I = prt to solve:
Steve borrowed $450 for 3 years. The yearly interest rate was 13%. How
much interest did he owe at the end of 3 years? _____
48 Answer:
Use the formula I = prt to solve:
Anne borrowed $600 for 1.5 years. The yearly interest rate was 12%. How
much interest did she owe at the end of 1.5 years? _____
49 Answer:
Use the formula I = prt to solve:
Frank borrowed $2000 for 0.5 years. The yearly interest rate was 15%.
How much interest did he owe at the end of 0.5 years?
50 Answer:
Use the formula I = prt to solve:
Judy borrowed $800 for 2 years. She paid $152 in interest. What was the
interest rate per year? _____

Answers

37- 180
38-76
39-52
40-256
41-200

Dedicated to Skee Ball Ana is a dedicated Skee
Ball player who always rolls for the 50-point slot.
The probability distribution of Ana's score X on
a randomly selected roll of the ball is shown here.
Make a histogram of the probability distribution.
Describe its shape.
Score
10
20
30
40
50
Probability 0.32 0.27 0.19 0.15 0.07

Answers

The histogram of a probability distribution is right-skewed and each bar has the same width and the same height.

What is a histogram?

It is defined as the numerical data representation in the graph with the help of a bar without space. The histogram gives an idea about the data's approximate distribution.

We have:

The player receives one ticket from the game for every 10 points scored. So,

Number of tickets received T = (1/10)X

From the table attached, we can plot a graph or probability histogram using the number of tickets on the horizontal axis and the probability on the vertical axis.

Right-skewed is the probability distribution. Each bar has the same width and the same height, which symbolizes the likelihood. The highest likelihood is 0.32, which is represented by the right-hand highest bar. The rightmost bar represents the lowest value of 0.07.

Thus, the histogram of a probability distribution is right-skewed and each bar has the same width and the same height.

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simplify 3 (3a - 6) help please

Answers

Step-by-step explanation:

Simplify the expression by using the Distributive Property.

For this expression, we'll be distributing. In simpler terms, multiplying 3 into the values inside the parentheses.

Think of the expression as;

[tex]3(3a-6)=(3 \times3a)+(3 \times -6)[/tex]

Multiply;

[tex]3 \times 3a=9a[/tex] (Multiply the whole number.)

[tex]3 \times -6=-18[/tex]

Your simplified expression is [tex]9a-18.[/tex]

Padma has room to line up 8 figurines in a display case how many different ways can she arrange the figurines in the display case? Enter your answer in the box

Answers

Answer:

it can be arranged in 40320 ways

Step-by-step explanation:

this is simply permutation,

so the ways of arrangement = 8!

=8×7×6×5×4×3×2×1

=40320

please mark brainliest:)

There are 40,320 different ways for Padma to arrange the 8 figurines in the display case.

What is the permutation?

The permutation is defined as considered an ordered combination.

To determine the number of different ways Padma can arrange the 8 figurines in the display case, we can use the concept of permutations.

The number of permutations of n objects taken r at a time is given by the formula:

P(n, r) = n! / (n - r)!

In this case, Padma has 8 figurines, and she wants to arrange all of them in the display case, so r = 8.

P(8, 8) = 8! / (8 - 8)!

Simplifying:

8! / 0! = 8!

Calculating 8! (8 factorial):

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320

Therefore, there are 40,320 different ways for Padma to arrange the 8 figurines in the display case.

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Follow the rules to create two number sequences that go to the fifth term each. Rule 1: Multiply by 3 starting from 10. Rule 2: Subtract 7 starting from 58. What is the first term that appears in both sequences?

A.30

B.55

C.60

D.180

Answers

Answer: A(30)
Reason 3x10=30 and as it does take a while to get there in the fourth round of 58-7 30 will be the first number first term to appear.
The answer is D is correct

If a line falls on the points (25, 24) and (15, 17), what is its slope? Enter your answer as a fraction in lowest terms. Use a slash mark (/) as the fraction bar​

Answers

Answer:

7/10

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)  where ( x1,y1) and (x2,y2) are two points on the line

m = ( 24-17)/(25-15)

   = 7/10

  = 7/10

10. A company's value is also known as their what?
FICO score
Debt ratio
Purchasing power
Net worth

Answers

If you know about business you’d know it could be business valuation but net worth is the value of all non-financial and financial assets owned by and individual, so if I had to guess I’d be net worth

The equation of the axis of symmetry is the line ____

Answers

x = 3

Both sides of the parabola match up if you fold the graph in half on this line.

The equation to find axis of symmetry is:

x = -b/2a

So if you don’t have a graph to look at you can find this axis by using a parabolic equation in
y = ax^2 + bx + c form(this is like y = mx + b but for parabolas)

In axis of symmetry problems your answer will always be “x = _” if you just put the number you will get the answer wrong

can anyone help me find the area of these two pls ?

Answers

13: 72.25
14: 52
For 14, you need to split the figure into a triangle and rectangle.

What is the answer ?

Answers

Answer:

put the x by the number 4

Step-by-step explanation:

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