Write a sequence of transformations that takes A to A'.

we have the following formula for the area of a sector of a circle:

In this case, we have the following information:

then, using the formula and solving for r, we get the following:

therefore, the measure of the radius is r = 30

ANSWER:

C. 50 fewer people will attend for every dollar the admission price increases.

STEP-BY-STEP EXPLANATION:

The equation in its slope and y-intercept form is as follows

We have the following equation

We can see that in this case the slope is - 50, therefore the answer would be 50 fewer people will attend for every dollar the admission price increases.

⇒g(f(x)) means that in the function g(x) insert/plug in what f(x) is equal to in the place of x. f(x)= 3x+2 meaning in the place of x in g(x) insert 3x+2 and simplify.

[tex]g(f(x))=-2(3x+2)+4\\g(f(x))=-6x-4+4\\g(f(x))=-6x[/tex]

Attached is the solution of what g(f(x)) is equal to.

Given

We have the system of equations:

The solution to the system of equation as determined from the graph is the point where the two lines intersect

From the graph, we can determine the point of intersection to be (3, 2)

Answer: (3, 2) Option A

EXPLANATION

Let's consider the system of equations:

(1) (1/2)x + (1/3)y = 4

(2) (1/3)x +

Answer:

x/9= 7

×ing by 9 on both sides

x=9×7

x=63

Step-by-step explanation:

EXPLANATION

1 feet is equal to 0.3048 meters.

So, 12 feets will be equal to ---> 12*0.3048 = 3.6576 meters.

Answer: 12 feets are equal to 3.65

The value of the expression  2(r+s)+4(x) when r = 2 and s = 3 is 4x + 10.

An expression is written in terms of variables and constants separated by the operation of addition and subtraction. Expressions can be of many types some of them are algebraic expressions, logarithmic expressions, etc.

Given r = 2 and s = 3, we know substitution in which we replace variables with certain numerical values in an expression.

Given  2(r+s)+4(x).        ( we'll replace the numerical values of r and s in the

                                                                                             expression).

∴ 2(2+3)+4(x).

2(5)+4x.

10 + 4x, Or

4x + 10.

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Answer:

x=20, y=10

Step-by-step explanation:

50=2x+y

3x+3y = 90

x+y = 30

x=30-y,

substitute x:

50=2(30-y)+y

50=60-y

y=10, x=20

:]

The probability of the first sock being blue is 1/3 and the second sock being white is 1/4.

So,

Total number of socks: 10 + 8 + 6 = 24

Formula: P = favourable events/Total number of events

Probability of picking a blue sock first:

Probability of picking a white sock at second:

Therefore, the probability of the first sock being blue is 1/3 and the second sock being white is 1/4.

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To solve this equation, we need to follow the next steps:

1. Subtract 25 to both sides of the equation:

We obtained this result doing the corresponding operations (25 - 25 = 0), and (74 - 25 = 49).

2. Multiply by 9/7 to both sides of the equation:

To check if the solution for this equation is b = 63, we can substitute this val

Recall that the "discriminat" of a quadratic equation of the form:

a x^2 + b x + c = 0

is given by the formula: b^2 - 4 a c

So for our equation:

x^2 - 5 x = -2, we start by adding 2 to both sides, in order to get the appropriate form equal to zero:

x^2 - 5 x + 2 = 0

Now we recognize:

a = 1

b = - 5

c = 2

and write the discriminant

b^2 - 4 a c = (-5)^2 - 4 (1) (2) = 25 - 8 = 17

Then, the discriminat of the equation is: 17.

Given: A cosine function with amplitude: 6, period: 2 pie, vertical shift: 0, and horizontal shift-

Required: To determine the function.

Explanation: The cosine function is defined as-

where

Hence, the required function is-

Final Answer: The function is-

Hence, Option D is correct.

Answer:

Lizzy is 40

Step-by-step explanation:

15 + 5 + 20

20 x 2 = 40

Answer:

35

Step-by-step explanation:

15 x 2= 30 + 5=35

the five is because he is 5 years younger than lizzy

adding to her age

Equation of the line in slope-intercept form = y = 8x − 1

How to calculate the equation of the line?

Given:

Co-ordinates of the first line (x, y)=(0,-1), (1,7), (2,15), (3,23),(4,31)

We know that,

[tex]\text{slope }=m=\frac{y_2-y_1}{x_2-x_1}\\\\= > \frac{7+1}{1-0}\\\\=8[/tex]

The slope - intercept form of a line is given by,

y = mx + b    ---(1)

Let us substitute ( x, y )= (0, -1) in (1)

-1 =(8)*0+b

-1= b

b = - 1 ----(2)

Let us substitute m and b in the slope-intercept equation (1)

y = 8x − 1

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Sine:

Using the calculator (in radians), we can get the value:

The most appropriate choice for equation of plane will be given by-

Required equation of plane is [tex]x + 6y +2z=39[/tex]

What is a plane?

A surface which is spanned by two linearly independent vectors is called a plane.

The general equation of plane is [tex]ax + by + c =d[/tex] where

[tex](a,b,c)[/tex] are the components of normal vectors.

Equation of the plane parallel to [tex]x + 6y +2z=-4[/tex] is

[tex]x +6y+2z=c[/tex] [As the perpendicular vector of two parallel planes are same]

The required plane passes through (1, 3, 10)

Putting [tex]x=1, y=3,z=10[/tex] in [tex]x + 6y+2z=c[/tex]

[tex]1 + 6 \times 3 + 2\times 10 = c\\1 + 18+20=c\\c=39[/tex]

So, Required equation of plane is [tex]x + 6y +2z=39[/tex]

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The total invested = $7000

Part of the money at 7% and the reminder at 15%

Let the part at 7% = x

So, the part at 15% = 7000 - x

Given the annual interest = $510

so,

7% of x + 15% of ( 7000 - x ) = 510

0.07 * x + 0.15 * ( 7000 - x ) = 510

0.07 x + 0.15 * 7000 - 0.15 x = 510

0.07 x + 1050 - 0.15x = 510

0.07 x - 0.15 x = 510 - 1050

-0.08 x = - 540

divide both sides by -0.08

x = -540/-0.08 = 6,750

7000 - x = 7000 - 6750 = 250

So, the part that is invested at a rate of 7% = $6,750

And the part that invested at a rate of 15% = $250

Answer

Option B is correct.

The latitude and longitude of the point X is 42.5°N, 77.5°W

Hope this Helps!!!

Answer:21 to each of his 3 friends

Step-by-step explanation:

A graph of this sine wave function y = 3sin( 2x + π/2) - 2.

A sine wave, also known as a sinusoidal wave or simply a sinusoid in mathematics, is a basic waveform that is frequently employed to describe periodic oscillations, with each interval's displacement amplitude being directly proportional to the sine of the displacement's phase angle.

This mathematical expression can be used to model or depict a sine wave mathematically:

y = asinbx

Where a represents the amplitude of a sine wave, b represents the periodicity.

After that, we would use the lowest common denominator (LCM) to solve the sine wave function given:

y = 3sin( 2x - π/2 ) - 2

y = 3sin( ( 2(2x) - π)/2) - 2

y = 3sin( ( 4x - π)/2 ) - 2

In conclusion, this sine wave function has an amplitude of 3 and a periodicity is 2.

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The thing that he.has done regarding the program is A. He has not saved his code before running.

The act of writing computer code using programming languages is referred to as coding. The websites, apps, and other technology we use on a daily basis are programmed using coding.

A series of instructions written in a programming language for a computer to follow is referred to as a computer program. Software, which also contains documentation and other intangible components, comprises computer programs as one of its components. Source code is a computer program's human-readable form.

It should be noted that the fact that he didn't save will lead to the error that was faced.

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Let's define:

x: number of Traveler bicycles made

y: number of Tourister bicycles made

The objective function is:

Maximize 300x + 600y

Subject to the following restrictions:

x + y ≤ 300

x + 3y ≤ 360

Answer:

Sample space = {1A, 1B, 1C, 2A, 2B, 2C, 3A, 3B, 3C}

Event that the number chosen is 2 = {2A, 2B, 2C}

Explanation:

The sample space is the set with all the possible outcomes, if she can select any number from 1, 2, or 3 and she can select any letter of A, B, or C, we get that the sample space is

Sample space = {1A, 1B, 1C, 2A, 2B, 2C, 3A, 3B, 3C}

Then, the outcome for the event that the select number is 2 is

Event that the number chosen is 2 = {2A, 2B, 2C}

Therefore, the answers are:

Sample space = {1A, 1B, 1C, 2A, 2B, 2C, 3A, 3B, 3C}

Event that the number chosen is 2 = {2A, 2B, 2C}

Answer:

x=-7

Explanation:

Given the equation:

To solve equations of this form, the goal is to try to bring all the terms containing the variable (letter x or any letter) to one side of the equation and the constants to the other side.

First, subtract 7x from both sides.

Next, add 2 to both sides.

The value of x is -7.

Answer:

a) Yes

b) -3, 0, 2

c) [-1, -3], [3, -4], [5, -1]

Explanation:

a) From the graph, we can see that f(3) = -4.

Therefore, f(3) is negative

b) From the graph, we can see that the values of x for which f(x) = 0 are -3, 0, and 2.

c) From the graph, we can see that the values of x for which f(x) < 0 are -1, 3, and 5.

Using the interval notation, we'll have [-1, -3], [3, -4], [5, -1]

The domain of the function of the graph is the set of all x values of the graph for which the function is defined.

The range of the function is the set of all y values shown in the graph.

Hence, the domain is (-∞, ∞)

The range is (-∞, 0].

With the use of factorization, we can state that s and r have values of -2 and 3, respectively.

The given values are

Solving with the help of factotisation.

Dividing the eqn by 6

hence,from above solving we can say that values of s and r are: 2,3

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