what are the domain and the range ​

Answer:

A

Step-by-step explanation:

two numbers that times to make -12 but add to make +4

+6×-2=-12

+6+-2=4

Step-by-step explanation:

Given function:

The transformation of f(x) is g(x):

The graph of g(x) is attached below

Answer:

m∠1 is 49° and m∠3 is 49°

Step-by-step explanation:

In the given figure

∵ There are 2 parallel lines

∵ A transversal cuts them

∴ ∠4 and ∠8 are corresponding angles

→ Corresponding angles are equal in measures

∴ m∠4 = m∠8

∵ m∠8 = 131°

∴ m∠4 = 131°

∵ ∠1 and ∠4 formed a pair of linear angle

∵ The sum of the measures of the linear angles is 180°

∴ m∠1 + m∠4 = 180°

→ Substitute ∠4 by 131°

∴ m∠1 + 131° = 180°

→ Subtract 131 from both sides

∵ m∠1 + 131 - 131 = 180 - 131

∴ m∠1 = 49°

∵ ∠1 and ∠3 are vertically opposite angles

∴ m∠1 = m∠3

∵ m∠1 = 49°

∴ m∠3 = 49°

Answer:

71+10y

Step-by-step explanation:

++++++++++++++++++++++++++++++

Answer (assuming that the equation can be written in point-slope form):

\(y-8 = -5(x+\frac{1}{2} )\)

Step-by-step explanation:

Use the point-slope formula, \(y-y_1 = m (x-x_1)\) , to write the equation of the line in point-slope form. Substitute values for the \(m\), \(x_1\), and \(y_1\) in the formula.

Since \(m\) represents the slope, substitute -5 in its place. Since \(x_1\) and \(y_1\) represent the x and y values of one point the line intersects, substitute the x and y values of (-0.5, 8) into the formula as well. Remember that we can convert -0.5 to a fraction: \(-\frac{1}{2}\). So, substitute \(-\frac{1}{2}\) for \(x_1\) and 8 for \(y_1\). This gives the following answer and equation:

\(y-8 = -5(x+\frac{1}{2} )\)    

Step-by-step explanation:

Plot the point.

-1+3=2 and -2-5=-7

this is your new plot, (2,-7)

move the dot an equal distance across the x-axis, which is up and down.

To test the value of the mean in a population when only sample mean and sample deviation are known to perform the test then it is appropriate to use z-test procedure.

What is a Z-test?

A statistical method of testing a hypothesis is the z-test where either:

Additional prerequisites for using the z-test include the following:

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Answer:94°

Step-by-step explanation:

The sum of the interior angles of the polygon: 180°(n-2)

180°(5-2)=540°

The sum of the interior angles of the pentagon is 540°

So:

P+Q+R+S+T=540°

(4x+2)°+132°+(4x-10)°+(5x-11)°+128°=540°

4x+2+4x-10+5x-11+260=540

13x=299

x=23°

P=4x+2°=4×23°+2°=94°

The area of the triangle is 3 units² which has a hypotenuse of 3 units and a side of 2 units.

A triangle is a 3-sided polygon that is occasionally (though not frequently) referred to as the trigon.

There are three sides and three angles in every triangle, some of which may be the same.

In the case of a right triangle, the three sides are given unique names: the hypotenuse, which is the side that faces the right angle, and the legs, which are the other two sides.

Every triangle is bicentric and convex.

The triangle's interior is the area of the plane it encloses; the outside is the rest of the plane.

So, the area of the triangle will be:

We know that the hypotenuse is 3 units.

The length of the other side is 2 units.

Area of triangle formula: 1/2 * base * height

Now, insert values in the formula and calculate:

1/2 * base * height

1/2 * 2 * 3

3 units²

Therefore, the area of the triangle is 3units² which has a hypotenuse of 3 units and a side of 2 units.

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After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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Answer:

d = 47°

Step-by-step explanation:

Image is attached

Sum of angles drawn along a straight line = 180°:

The angle drawn in pink : 180° - 112° = 68°

The angle drawn in green: 180° - 66° = 114°

The angle drawn in yellowish orange: 180° - 23° = 157°

The angle marked in purple: 180° - 102° = 78°

The figure drawn in the center is a 5-sided irregular pentagon

∴ Sum of interior angles in a 5-sided polygon = (n - 2) ×180°

                                                                            = (5 - 2) × 180°

                                                                            = 540°

The four angles calculated above will assist in calculating the fifth remaining angle of the pentagon (which is marked in light blue):

   68° + 114° + 78° + 157° + angle in light blue = 540°

Angle in light blue = 540° - 68° - 114° - 78° - 157°

                               = 123°

Sum of angles drawn along a straight line = 180°:

Angle marked in dark blue = 180° - 123°

                                                = 57°

Now focus on the angles present inside the triangle

Sum of interior angles of a triangle = 180°

= d + 76° + 57° = 180°

d has to be isolated and made the subject of the equation:

d = 180° - 76° - 57°

d = 47°

 y = -3/5x - 123/5 is slope-intercept form .

What is an explanation of the slope-intercept form?

Point = ( 1,24 )

slope = -3/5

the equation in standard form of the line that passes through the point

               y - y₁ = m ( x - x₁)

                y - 24 = -3/5 ( x - 1)

             5 (y - 24) = -3( x - 1 )

                5y -    120 = -3x + 3

                 5y = -3x + 3 + 120

                 5y = -3x + 123

                 y = -3/5x - 123/5

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Step-by-step explanation:

I will assume you you meant solve for A

so from that assumption we simply make A the subject of formula

3A=R-3D

A=(R-3D)/3

Answer:

D. 14.1

Step-by-step explanation:

Use sin, opposite over hypotenuse.

sin67 = 13/X

solve for X

Answer:

wdym?

Step-by-step explanation:

Answer: odd

Step-by-step explanation: khan academy got it right

Answer:

1000000

Step-by-step explanation:

Add 10 with 6 0's

Answer:

-14 +2

Step-by-step explanation:

because you would do kcc aka keep change change

you would keep -14 change the minus to a addition sign and change the -2 to a positive 2

The sum of expression \(1.723 \times 10^{2}\) and \(7.38 \times 10^{3}\) is \(7.5523 \times 10^{3}\). The numbers in scientific notation are added by summing the coefficients while keeping the exponent unchanged.

In scientific notation, numbers are expressed as a coefficient multiplied by a power of 10. To add numbers in scientific notation, we need to ensure that the powers of 10 are the same.

In this case, both numbers are already in scientific notation with powers of 10. We can directly add the coefficients while keeping the exponent the same.

Adding \(1.723 \times 10^2\) and \(7.38 \times 10^3\) gives us a sum of \(7.5523 \times 10^3\). The coefficient represents the numerical value, and the power of 10 indicates the magnitude.

Thus, the expression \(1.723 \times 10^2 + 7.38 \times 10^3\) evaluates to \(7.5523 \times 10^3\), indicating a significant increase in magnitude compared to the individual numbers.

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The area of the triangle that is formed by connecting the three points is 6 square units.

The area of ​​a triangle is defined as the sum of the space occupied by the three sides of the triangle in a two-dimensional plane. The basic formula for the area of ​​a triangle is half the product of the base and the height, i.e. A = 1/2× b× h. This formula works for all types of triangles, whether scalene, isosceles, or equilateral.

According to the Question:

Since BC is parallel to X-axis, ordinate of point B is 1.

AB is parallel to Y-axis, so its abscissa is 1.

The point B is (1, 1).

Length of AB is difference of co-ordinates since it is parallel to Y-axis

= 4 - 1 = 3 units

Length of BC is difference of abscissa since it is parallel to X-axis

= 5 - 1 = 4 units

Area of ΔABC is 1/2×AB×BC

                        = 1/2×3×4sq.units

                        = 6sq.units.

Complete Question:

What is the area of the triangle that is formed by connecting the three points?

A:10 square units

B:20 square units

C:40 square units

D:80 square units

E : 6 Square units.

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Answer:

I love these

Step-by-step explanation:

add 3 on both sides to get

9x = 6x -51

subtract 6x

3x = -51

divide

-17

The 90% confidence interval for the index rate of return is ( 0.025,  0.175)

To construct a confidence interval for the index rate of return, we can use the sample data and the assumption that the population follows a normal distribution with a standard deviation of 13%.

Given sample data: 6%, 15%, -14%, 20%, 18%, -3%, 30%, 16%, 10%, -8%

Calculate the sample mean (x')

x' = (6% + 15% - 14% + 20% + 18% - 3% + 30% + 16% + 10% - 8%) / 10

= 100% / 10

= 10%

Calculate the standard error (SE)

SE = σ / √n

= 13% / √10

Since the sample size is small (n < 30), we will use a t-distribution. With a 90% confidence level and 9 degrees of freedom (10 - 1), the critical value is approximately 1.833

Calculate the margin of error (E)

E = z*  SE

Calculate the lower and upper bounds of the confidence interval

Lower bound = x' - E

Upper bound = x' + E

Substituting the values:

Lower bound = 10% - 1.833 * (13% / √10) = 0.025

Upper bound = 10% + 1.833 * (13% / √10)= 0.175

This gives the 90% confidence interval for the index rate of return.

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Answer:

x = 42

see below for the angle measures.

Step-by-step explanation:

The angle marked 2x - 9 is sort of outside the triangle. It is called an exterior angle. The other two angles are called remote interior angles. "Remote" means that they are away from the exterior angle. When you have this set up, the two remote angles added together EQUAL the exterior one.

x+5 + 28 = 2x - 9

x + 33 = 2x - 9

Subtract x.

33 = x - 9

Add 9.

42 = x

So x = 42° which if you put that back into the expressions you can find the measures of the one remote interior angle (the other we know is 28°) and the exterior angle.

remote int angle:

x+5

= 42 + 5

= 47°

Exterior angle:

2x - 9

= 2(42) - 9

= 84 - 9

= 75°

(You can also then find the completely unmarked angle which is 180°- 75° which is 105°)

The time taken to finish the race is 3.49 hours

Speed is defined as. The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered.

Given,

The total distance = 500 miles

The speed = 143.187 mph

We know, Speed = Distance / Time

Time = Distance / Speed

Substitute the values

Time = \(\frac{500}{143.187}=3.49\) hours

Hence, the time taken to finish the race is 3.49 hours

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Answer:

50

Step-by-step explanation:

50 x 0.10=5

taking the 5 from that eqation adding the monthly fee equals 10

Our answer of 91 questions is correct. Aayan took a test with a total of 91 questions.

To solve this problem, we can set up a proportion based on the information given and use algebra to find the total number of questions on the test.

Let's denote the total number of questions on the test as 'x'. We know that Aayan got 5/7 of the questions correct, which means he got 5/7 of the total number of questions correct.

We can set up the proportion:

(5/7) = 65/x

To solve for 'x', we can cross-multiply:

5x = 7 * 65

5x = 455

Next, we divide both sides of the equation by 5 to isolate 'x':

x = 455/5

x = 91

Therefore, there were 91 questions in the test.

To verify our answer, we can check if Aayan getting 65 questions correct is indeed 5/7 of the total number of questions.

65 is indeed 5/7 of 91:

(5/7) * 91 = 65

Therefore, our answer of 91 questions is correct. Aayan took a test with a total of 91 questions.

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The scale factor of 10cm to 5m is 50.

The scale factor is a measure for similar figures, who look the same but have different scales or measures.

For example ,if a length of 5cm is doubled and it gives a length 10cm, the scale factor is 10/5 = 2. This means that we can express scale factor with a formula;

scale factor = new dimension / old dimension

Here, the old dimension is 10cm and the new dimension is 5m. We need to convert the 5m into cm

therefore 5m = 5× 100 = 500cm

therefore scale factor = 500/10 = 50

This means the scale factor of 10cm = 5m is 50

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Answer:

C = ( -7 , 6 )

R = 2

SO ...

The ANSWER is "A"