What are the domain and range of this relation? pt3 last one pls help

The probability of drawing a winning pair which is a pair with the same color OR same letter 0.9388.

The problem we are dealing with is related to probability which is referred to as Probability is essentially how likely something is to happen. At whatever point we're uncertain approximately the result of an occasion, we will conversation around the probabilities of certain outcomes—how likely they are.

Since we are provided with four red cards and four green cards so, the total possible combination of the  8 cards will be

C(8,2) = 28

out of which  2*C(4,2)=12 are the  pairs of the same color

therefore the probability of picking a pair with the same color OR same letter is

1 - (12*4)/28^2 = 0.9388

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Answer:

13.5

Step-by-step explanation:

The formula for function g(x) that describes the transformations performed on the basic function f(x) = |x| is g(x) = - ( |x| + 4 )

As per the question statement, we are given a basic function f(x) = |x| and we are supposed to find the formula for function g(x) that describes the transformations performed on the basic function f(x) = |x|.

Solution is as follows:

Reflected about X - axis and translated 4 units down to X - axis.

Basic function y = |x| - 2

Transformed function g(x) = - ( |x| + 4 )

Reflected across y = -2

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Answer:

10 / 3

Step-by-step explanation:

4 divided by 6/5

4 / 6 / 5

4 ÷ 6 / 5

4 × 5 / 6

20 / 6

10 / 3

The value of 4 divided by 6/5 is 10/3 .

Given,

4/ (6/5)

Here,

The whole number is divided by fraction , so the denominator of the fraction will be multiplied from the whole number and the resultant will be divided by the numerator.

So,

4 divided by 6/5

4 / 6 / 5

4 ÷ 6 / 5

4 × 5 / 6

20 / 6

10 / 3

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The ways that describes how they could gather the opinions include:

From the information, the local news station wants to find out opinions on the economy for their next broadcast.

It should be noted that in this case, a sample will be used and not the entire population. Therefore, they can ask randomly selected people's opinions on the economy as well as the members of the local news station about their opinions on the economy.

Therefore, the correct options are A and B.

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Answer:

This sequence is geometric with common ratio -2.

Answer:

The domain for this function is all real numbers greater than -2.

To develop a table of functions for the values we have

y  = x + 4

x          y

0          4

1           5

2           6

3           7

the ordered pairs (0, 4) (1, 5) (2, 6) (3, 7)

y = 3x - 6

x          y

0          -6

1           -3

2           0

3           3

the ordered pairs (0, -6) (1, -3) (2, 0) (3, 3)

y = x + 4

The input values is x so we get numbers say 0, 1, 2, 3 and plug them into the equation to get the corresponding values of y to be 4, 5, 6, 7

y = 0 + 4 = 4

y = 1 + 4 = 5

y = 3x - 6

The input values is x so we get numbers say 0, 1, 2, 3 and plug them into the equation to get the corresponding values of y to be -6, -3, 0, 3

y = 3(0) - 6 = 0 - 6 = -6

y = 3(1) - 6 = 3 - 6 = -3

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Answer: 57920 per month

Step-by-step explanation: 905 x 64 = 57920

She can translate the measurement into metric unit system of "meters" for her and her teacher to understand better.

As per the question statement, Jamie dropped a ball down from a tall building to measure its velocity and the height of the building, and she used a weird measuring tool that gave a measurement the ball traveled "-700" feet.

We are required to provide a solution on how Jamie can translate this measurement so that, she and her teacher can understand it better.

To solve this question, we will simply ignore the "negative" sign that came along with the measurement, and convert the magnitude of the measured value into the metric unit system of meters, using the standard conversion rate of [1 foot = 0.305 meters], i.e.,

700 feet = (700 * 0.305) meters,

or, 700 feet = 213.5 meters.

Hence, the ball travelled 213.5 meters when dropped from the top of building, or, the height of the building is 213.5 m.

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The number of times that 8 x 10 to the negative power of 5 larger than 2 x 10 to the negative power of 7 is 400.

T calculate the number of times that 8* 10^- 5 larger than 2 *10 ^-7, then we will need to perform little division operation on the given numbers, since we know that 8* 10^- 5 larger than 2 *10 ^-7, then, the division will be :

( 8* 10^- 5 ) /( 2 *10 ^-7) = 400

This implies that the value of 8* 10^- 5 is  larger than 2 *10 ^-7, in 400 folds.

Therefore, option C is correct.

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Using rotation rules, considering the 90º clockwise rotation, the coordinates of point A are given as follows:

(-2,0).

The origin has coordinates (0,0), hence the rule for a 90º clockwise rotation about the origin is:

(x,y) -> (y, -x).

Considering a point (xP, yP) as reference, the rule for the coordinates of the vertices after the rotation is given as follows:

(x,y) -> (y - yP, -x + xP).

For this problem, point B is the reference point, hence the reference coordinates are as follows:

xP = 2, yP = 1.

Then the rule is:

(x, y) -> (y - 1, -x + 2).

Point A is located at:

x = -2, y = -1.

After the rotation, the coordinates will be given as follows:

(x, y) -> (-1 - 1, -2 + 2) = (-2,0).

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It is true given the above logical analysis to state that RS = 2UV. This is known as a conditional statement also known as an If-then-statement.

A conditional statement (also known as an If-Then Statement) is a statement that begins with a hypothesis and ends with a conclusion.

A conditional statement can also be defined as "If this happens, then that will happen." A conditional statement's hypothesis is the first, or "if" element. While the "Then" is the Conclusion.

Hence, the hypothesis from the above statement is:

IF RS = ST and ST = 2UV [Hypothesis]

Then RS = 2UV [Conclusion]


Put differently we can say

A → B and B→C; then
A → C.

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Pairs of values that could be the number of grams of protein and fiber in the protein bar are:

10 grams of protein and 20 grams of fiber. That is, (10, 20)

and

15 grams of protein and 10 grams of fiber. That is, (15, 10)

From the question, we are to determine the pair of values that could be the number of grams of protein and fiber in the protein bar

From the given information,

The protein has 80 calories from p grams of protein and f grams of fiber

and

The equation that represents the relationship is

4p + 2f = 80

To determine the pair of values, we can determine the values of f for certain values of p

When p = 10

4p + 2f = 80

4(10) + 2f = 80

40 + 2f = 80

2f = 80 - 40

2f = 40

f = 40/2

f = 20

A pair of values is 10 grams of protein and 20 grams of fiber.

When p = 15

4p + 2f = 80

4(15) + 2f = 80

60 + 2f = 80

2f = 80 - 60

2f = 20

f = 20/2

f = 10

Thus,

Another pair of values is 15 grams of protein and 10 grams of fiber.

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It is to be noted that the square root of 7-2√10 is √5-√2. See the explanation below.

It is to be noted that square root, in mathematics, refers to a factor of a number which when multiplied by itself, results in the original number. For example, both 3 and –3 are square roots of 9.

Hence the solution to the above expression or problem is given as stated below:

7-2√10 = 5 + 2 - 2 2√10

= (√5)² + (√2)² - 2(√5)(√2)

Hence

7-2√10  = (√5 - √2)²

√(7-2√10) = √5 - √2

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The equivalent expression to the dieter's expression which is given as -24/6 is equal to  -(24/6).

Every fraction has three signs: one for the numerator, one for the denominator, and one for the overall fraction.

The fraction will always be negative if one of the numerators or denominators is negative and the other is positive.

It is given that a dieter loses 24 pounds in 6 months.

The dieter represents the average monthly weight loss with the expression -24/6.

We know that,

The negative sign in numerator can be assigned to the overall fraction.

So, we can write the expression (-24)/6 as -(24/6).

Therefore, the expression that is equivalent to the expression the dieter uses is    -(24/6).

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First graph.

A set of ordered pairs is a function if for every x value there is one y value. The set of ordered pairs functions if they pass the vertical line test. If a vertical line is drawn then the line will cut at only one point. In the first graph for all x values we have different y values so the ordered pairs represent a function.

One can find the quotient by dividing the numerators because they are fractions of the same numbers so if you divide the numerator, you will get the quotient

A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole.

For example, 12/16 ÷ 6/16 = 2. Since they've common denominator, this will be = 12/6 = 2. This explains the reason for the statement above.

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A(7,10) and B(9,-3) are separated by 13.1 units.

How to calculate distance between two points?
The separation between two points the coordinates of two points in space are used in the formula. In coordinate geometry, a two-dimensional or three-dimensional space can be used to calculate the distance between two points using the distance formula. The Pythagoras theorem is sometimes used to calculate the distance between two places.
The distance between two locations on a plane is the length of the line segment connecting them. The following equation is frequently used to determine the separation between two points:
d = √[(x₂-x₁)² + (y₂-y₁)²] -- (i)

Given, the two points are A≡(7,10) and (9,-3)
On comparing A and B with (x₁, y₁) and (x₂, y₂) respectively, we get
x₁ = 7, y₁ = 10,  x₂ = 9, y₂ = -3
Therefore using the formula in (i), we get
Distance between A & B = √[(9-7)²+(-3-10)²] = √173 = 13.15 = 13.1 units

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Answer:

57 + 5x < 65

Step-by-step explanation:

57 + 5x < 65

5x < 8

x < 1.6

Answer:

139

Step-by-step explanation:

Add 132 to both sides, so it will cancel out on the left side and you are left with only p.

[tex]p - 132 + 132 = 7 +132\\p = 139[/tex]

Answer

625.52(pie)

Step-by-step explanation:

In this question we have 3 lines, where 2 parallel lines intersect the other.

Now, because the 2 lines are parallel, their corresponding angles are congruent. Therfore, we can derive the equation:

[tex]2x-43 = x+9[/tex]

[tex]2x = x+9+43[/tex]

[tex]2x = x+52[/tex]

[tex]2x-x = 52[/tex]

[tex]x = 52[/tex]

according to the line of best fit,  the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours would be 7.56 minutes

according to the line of best fit, what would be the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours?

1 hour = 60 minutes

46 hour = 46*60= 2760 minutes

in one year total number of days =365 days

in 365 days spent on project= 2760 minutes

per day spent on project = 2760/365

                                          = 7.56minutes

Hence  according to the line of best fit,  the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours would be 7.56 minutes

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Answer:

b

Step-by-step explanation:

put -2 on x and you will get a value of 1/4

(can use other number on table too but must got the same value of y)

example: use -1 for x and the answer must be 1/2