Find the values of the unknown angles marked with letters.
a=
b=
c=

Considering the situation described, the classification of the elections is given as follows, according to their order of finish:

David, Greg, Victor, Mac, Bill.

We take the situation that is described, and build the classification from it. The classification has the following format:

P1 - P2 - P3 - P4 - P5

With P1 being the first placed candidate, P2 being the second placed candidate, and so on until P5 which is the fifth placed candidate.

From the text given in this problem, we have that:

Hence the classification of the election is given by:

David, Greg, Victor, Mac, Bill.

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Answer:

x=0, x=3, x=-2

Step-by-step explanation:

factor the equation

x(x^2-x-6)

factor more

x(x-3)(x+2)

set it equal to 0

x(x-3)(x+2)=0

plug in numbers for x that would result in the answer being 0

0(0-3)(0+2)=0

3(3-3)(3+2)=0

-2(-2-3)(-2+2)=0

Answer: 8/33

Step-by-step explanation:

So the probability of picking a purple marble is 8/12, after that there are 11 marbles left in the box

Now the probability of picking a green marble without placing the first marble back is 4/11

So the probability of doing both is 8/12 x 4/11 = 8/33

Answer:

  see attached

Step-by-step explanation:

Each grid square represents 5 m, so the distances shown on the grid will be scaled appropriately.

The 25 m base dimension will be represented by (25 m)/(5 m/square) = 5 squares.

The 30 m height dimension will be represented by (30 m)/(5 m/square) = 6 squares.

The attached drawing shows the triangle with base 25 m and height 30 m on a 5 m grid.

The stock's current price  is  53.413455.

What is CAPM ?

The capital asset pricing model (CAPM) to know the value of the stock

[tex]Ke = rf + \beta ( r_{m} - r_{f} )[/tex]

risk free = 0.085

premium market =(market rate - risk free) = 0.045

beta(non diversifiable risk) 1.3

Ke = 0.085 + 1.3(0.045)

Ke = 0.14350

Now we need to know the present value of the future dividends:

D0 = 2.8

D1 = D0 × ( 1 +g ) = 2.8  = 2.8 * 1.23 = 3.444

D2 3.444 x 1.23 = 4.2361200

The next dividends, which are at perpetuity will we solve using the dividned grow model

[tex]\frac{divends}{return - growth} = Intrinsic value[/tex]

In this case dividends will be:

4.23612 x 1.07 = 4.5326484

return will be how return given by CAPM and g = 7%

plug this into the Dividend grow model.

[tex]\frac{4.5326484}{0.1435 - 0.07} = Intrinsic value[/tex]

value of the dividends at perpetity: 61.6686857

Finally is important to note this values are calculate in their current year. We must bring them to present day using the present value of a lump sum:

[tex]\frac{principal}{(1 + rate)^{time} } = PV[/tex]

[tex]\frac{3.444}{(1 + 1. 1435)^{1} } =PV[/tex]

3.011805859

[tex]\frac{4.23612}{( 1 + 0.1435)^{2} } = PV[/tex]

3.239633762

[tex]\frac{61.6686857}{(1 + 0.1435)^{2} } = PV[/tex]

47.16201531

We add them and get the value of the stock  is 53.413455.

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The area of the shaded region = 810.66 ft²

What is rectangle?

Area of Shaded region:

(12+2*7)*20 - 12*20 + 3.14*((12+2*7)/2)² =

14*20 + 530.66 =

810.66 ft²

Therefore, the area of the shaded region = 810.66 ft²

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An78swer:

Step-by-step explanation:

The number of six-student teams possible where a team consists of three freshmen and three sophomores, from a group of 12 students consisting of five freshmen and seven sophomores using combinations is computed to be 350.

The combination is a process of calculating the number of ways of selecting a smaller set, from a larger set, when the order of selection is irrelevant.

In selecting x number of items, from n number of items, when the order of selection is irrelevant, we use the combination, to calculate the number of possible ways as follows:

nCx = n!/{(x!)((n - x)!)}.

In the question, we are asked for the number of six-student teams possible where a team consists of three freshmen and three sophomores, from a group of 12 students consisting of five freshmen and seven sophomores.

The number of ways of selecting 3 freshmen from 5, using a combination is:

5C3 = 5!/{(3!)((5 - 3)!} = 120/{6*2} = 120/12 = 10.

The number of ways of selecting 3 sophomores from 7, using a combination is:

7C3 = 7!/{(3!)((7 - 3)!} = 5040/{6*24} = 5040/144 = 35.

The total number of teams possible is the product of each.

Thus, the total number of teams  possible is 5C3 * 7C3 = 10*35 = 350.

Thus, the number of six-student teams possible where a team consists of three freshmen and three sophomores, from a group of 12 students consisting of five freshmen and seven sophomores using combinations is computed to be 350.

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Step-by-step explanation:

g(f(a))=4(a²+2a) + 5

= 4a²+8a+5

The solution to the equation 1/x = x + 3/2x^2 is x  = 0 or x = 3

The equation is given as:

1/x = x + 3/2x^2

Cross multiply in the above equation

2x^2 = x^2 + 3x

Evaluate the like terms

x^2 - 3x = 0

Factor out x

x(x - 3) = 0

Solve for x

x  = 0 or x = 3

Hence, the solution to the equation 1/x = x + 3/2x^2 is x  = 0 or x = 3

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Answer:

The Answer Is "x=3"

Step-by-step explanation:

I just did it

Answer:Triangle A = 7.5 Triangle B= 15 Area=22.5

Step-by-step explanation:

So first we have to get the area of Triangle A. This means we have to find the height and base of it. The base is 5 and the height is 3 as you can see in the picture. So 5x3 equals 15, but because it's a triangle we have to divide by 1/2, which makes 7.5. So the area for Triangle A is 7.5.

Now we have to find the area for Triangle B. The height is 3 and the base is 10. So like we did with Triangle A we have to multiply and then divide by 1/2. Which makes 15.

Now that you have both areas you just have to add them together. Which makes 22.5.

So 22.5 is the answer. Give brainilest if you can!

Answer:

Step-by-step explanation:

The matching of exponential functions to table values involves matching both initial values and rate of growth. The value of a geometric series can be calculated from its formula, or can be shown by a calculator or spreadsheet.

The starting values of the two sequences are different, as are all of the starting values of the answer choices. Matching starting values is sufficient to identify which sum goes with which player.

The series ...

  [tex]\displaystyle S=\sum_{k=1}^n{AB^{k-1}}[/tex]

gives the sum of a geometric sequence with first term A and common ratio B.

The first term of Erica's series is A=30. The ratio is B=42/30 = 1.4.

The first term of Marquis's series is 50. The ratio is B=75/50 = 1.5.

Using these values in the series formula, the total score after n rounds will be ...

  [tex]\displaystyle \text{Erica:}\quad \sum_{k=1}^n{30(1.4)^{k-1}}\qquad\text{matches Row 3}\\\\\text{Marquis:}\quad \sum_{k=1}^n{50(1.5)^{k-1}}\qquad\text{matches Row 2}[/tex]

The explicit expression for these sums is ...

  [tex]S=A\dfrac{B^n-1}{B-1}[/tex]

Then the total scores after 6 rounds are ...

  Erica: 30(1.4^6 -1)/0.4 = 489.7152

  Marquis: 50(1.5^6 -1)/0.5 = 1039.0625 . . . . . matches row 4

Then the required table gets filled in ...

__

Additional comment

The values in the attached table are total scores after each round. One must subtract the previous round's total to find the points scored in a given round.

The purpose of showing totals is to permit matching the value seen in Row 4 of the table.

Answer:

A. W

Step-by-step explanation:

Because their is a rhythm and pattern

The expression for the volume of the pyramid in terms of the radius of the cone is  [tex]V=\pi r^{3}[/tex].

The expression for the volume of the pyramid in terms of the radius of the cone:

B= base area of the cone.

[tex]V=\pi r^{2}[/tex]

The volume of the Pyramid,

[tex]V=\frac{1}{3} *B*height[/tex]

[tex]$\Rightarrow V=\frac{1}{3} \times \pi r^{2} \times 3 \gamma$[/tex]

[tex]V=\pi r^{3}[/tex]

The expression for the volume of the pyramid in terms of the radius of the cone is [tex]V=\pi r^{3}[/tex]

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The probability that at least one of them will get scholarship is 0.93

The given parameters are:

P(Boy) = 0.75

P(Girl) = 0.72

The probability that at least one of them will get scholarship is calculated using

P = P(Boy only) or P(Girl only) or P(Both)

This is then calculated as:

P = 0.75 * (1 - 0.72) + 0.72 * (1 - 0.75) + 0.72 * 0.75

Evaluate the products

P = 0.21 + 0.18 + 0.54

Evaluate the sum

P = 0.93

Hence, the probability that at least one of them will get scholarship is 0.93

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Answer:

The pair of shoes equal 18.

The boat equals 3

The chair equals 4

Step-by-step explanation:

Let x = shoes

You found the palm trees!

So the top picture would be

18 + x = 2x  Subtract x from both sides

18 = x  We found the value of the shoes.

Let's go so the last picture.  We now know the shoes.

Let x = the boat now

18 = 6x  Divide both sides by 6

x = 3  We found the value of the boat.

Finally, let's look at the second picture.

Let x = the chair now

3 + x = 7  Subtract 3 from both sides

x = 4  We found the value of the chair.

The interval notation to express the set of real numbers x that satisfies the given inequality is -2<x<5. You also can represent it as (-2,5)

It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).

The solutions for inequalities can be given by: a graph in a number line or numbers.

For solving this exercise, it is necessary to find a number solution for the given inequality.

First, you should find the critical points of the inequality.

x+2=0

x = -2

and

x-5=0

x=5

Write, the intervals in between critical points. Therefore, -2<x<5.

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the equation that represents the new graph is:

g(x) = √(x - 3) - 2

Here we start with the function:

y = f(x) = √x

First, we shift it 2 units down, then the new equation will be:

g(x) = f(x) - 2

Now we apply a horizontal shift, this time we shift the graph 3 units to the left, then the new equation is:

g(x) = f(x - 3) - 2

Now we replace f(x) = √x to get:

g(x) = √(x - 3) - 2

That is the equation that represents the new graph.

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Answer: eleven equals five minus b

Step-by-step explanation:  11 = eleven. = equals equal. 5 = five.  - =  minus. b = b

Answer: E. 10,000,000 cubic millimeters

Step-by-step explanation: To find out any result from cubic centimeters to cubic millimeters, you multiply the cubic centimeters' value by 1000 to get the cubic millimeters' value.

10,000 * 1,000 = 10,000,000 cubic millimeters.

Hope this helped!

Step-by-step explanation:

The correct answer is E 10,000,00

Answer:

Number of the squares on chessboard = 64

Exponent form = [tex]8^{2}[/tex]

Step-by-step explanation:

8 x 8 = 64

exponent form of  of the chessboard

= [tex]8^{2}[/tex]

Answer:

Angle symbol

Angle ACB

Angle ACE

Angle DCE

Answer:

Step-by-step explanation:

if x= -2, f(x)= -8

x= -1, y= -1

x=0, y=0

The quadrilaterals that describe DEFG include parallelogram, rhombus, and square

It should be noted that a quadrilateral simply means a close shape and a polygon that has four sides.

In this case, the quadrilaterals that describe DEFG include parallelogram, rhombus, and square. In a parallelogram, it should be noted that the sides are parallel to each other.

Therefore, the quadrilaterals that describe DEFG include parallelogram, rhombus, and square.

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Answer:

D

Step-by-step explanation:

The D answer choice is the correct functions needed to create the pictured graph, I have pictured these functions in a graphing calculator below

The slope-intercept form of given equation is y = 1/2x + 5/2.

According to the statement

we have given that the equation y-3 = 1/2(x-1) and the passing points are (–9, –2) and (1, 3).

And we have to find the slope-intercept form of the equation

slope-intercept form is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

So, According to this

y-3 = 1/2(x-1)

convert this into y = mx +b form then

y-3 = 1/2x -1/2

here m is 1/2 and b is -1/2.

Then

y-3 = 1/2x -1/2

Add three on both sides then

y = 1/2x + 5/2

So, The slope-intercept form of given equation is y = 1/2x + 5/2.

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Answer:

its cccccccc

Step-by-step explanation:

Answer:

Step-by-step explanation: all oof it equals to = 2c c2 = b1

The issue of too many proficient business-savvy programmers is least likely to arise in machine learning(ml) and artificial intelligence(ai).

What is machine learning?

The process by which computers learn to recognize patterns, or the capacity to continuously learn from and make predictions based on data, then make adjustments without being specifically programmed to do so, is known as machine learning (ML), a subcategory of artificial intelligence.

The operation of machine learning is quite complicated and varies according to the task at hand and the algorithm employed to do it. However, at its foundation, a machine learning model is a computer that analyzes data to spot patterns before using those realizations to better fulfill the work that has been given to it. Machine learning can automate any task that depends on a set of data points or rules, even the more difficult ones.

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The function [tex]H(t) = -16t^2 + 64t[/tex] exists in a parabola.

The axis of symmetry of a parabola exists at the midpoint between the two real roots.

The roots exist the solutions of H(t) = 0

To estimate the roots equation exists [tex]-16t^2 + 64t = 0[/tex]

Factor t(-16t + 64) = 0

t = 0 and -16t + 64 =0

-16t + 64 = 0

t = 64 / 16 = 4

t = 4

Then the two roots are t = 0 and t = 4, and the axis of symmetry exists

t = (0+4)/2 = 4/2 = 2

The axis of symmetry exists at t = 2.

It represents the time at which the ball is at the higher point, the maximum height.

You can find the maximum height replacing t = 2 in the function H(t)

[tex]H(t) = -16(2^2) + 64(2)[/tex]

= 64 feet.

And you can also deduce that the second part of the flight will take 2 seconds, for a total flight time of 4 seconds.

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Answer:

answer is a

Step-by-step explanation:

it takes 2 seconds for the ball to reach maximum height and 2 seconds to fall on the ground.

t = 2; it takes the ball 2 seconds to reach the maximum height and 2 more seconds to fall back to the ground

Took the FLVS test!

The value of the missing length in the image shown using the Pythagoras theorem is x = 1500

An equation is an expression that shows the relationship between two or more variables and numbers.

Let h represent the missing red line. Using Pythagoras:

x² = h² + 900²

h² = x² - 900²

Also:

r² = h² + 1600²

r² = x² - 900² + 1600²

And:

(1600 + 900)² = r² + x²

(1600 + 900)² = (x² - 900² + 1600²) + x²

x = 1500

The value of the missing length in the image shown using the Pythagoras theorem is x = 1500

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