The set of ordered pairs shown below defines a relation.
{ (-1,- 6), (2, - 6), (3,5), (4,0), (4,7)}
Which of the following represents the domain of this relation?
A { - 1,2,3,4}
-
-
® { - 6,0,5,7}
©{-1,4}
O {-6,7}
-

Answer:

3

Step-by-step explanation:

Coefficient in the number behind the variable.

In 3x + 7,

x is the variable.

3 is the coefficient.

Answer:

See below ~

Step-by-step explanation:

Subpart (e) :

⇒ New volume = 2 x 3 x 2 x 4 x 2 x 5

⇒ New volume = 8 x 60

⇒ New volume = 480 in³

=============================================================

Subpart (f) :

⇒ New volume : Original volume

⇒ 480 : 60

⇒ 1 : 8

=============================================================

Subpart (g) :

Step 1

⇒ SA = 2(6 × 9 + 9 × 11 + 6 × 11)

⇒ SA = 2(54 + 99 + 66)

⇒ SA = 2(219)

⇒ SA = 438 in²

Step 2

⇒ V = 6 × 9 × 11

⇒ V = 54 × 11

⇒ V = 594 in³

Step 3

⇒ New SA = 2 x 438

⇒ New SA = 876 in²

Step 4

⇒ New : Original

⇒ 876 : 438

⇒ 2 : 1

Step 5

⇒ New V = 2³ x 594

⇒ New V = 8 × 594

⇒ New V = 4752 in³

Step 6

⇒ New : Original

⇒ 4752 : 594

⇒ 8 : 1

Answer:

15.9

Step-by-step explanation:

The factor of the polynomial 18x³ + 6x²y - 9x² - 3xy will be 3x(6x² - 2xy - 3x - y). Then the correct option is C.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The polynomial is given below.

⇒ 18x³ + 6x²y - 9x² - 3xy

Then the factor of the polynomial will be

⇒ 18x³ + 6x²y - 9x² - 3xy

⇒ 3x(6x² - 2xy - 3x - y)

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The appropriate inference procedure is the t test for μdiff.

The t test is used to compare the means of two groups. It is a very important tool that can be used in inferential statistics.

Since it shows whether the means of two groups are significantly different, we can say that, the appropriate inference procedure is the t test for μdiff.

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Answer:

A. m = 0

Step-by-step explanation:

The slope is 0 as the change in y-value is 0, and change in x-value is infinite.

Graph

Answer:

Step-by-step explanation:

For dark line

Slope

Equation in point slope form

Put (0,0)

As line is dark sign is ≤

The inequality

For dashed line

Equation in intercept form

Put (0,0)

Symbol is >

Inequality is

Using the t-distribution, it is found that the test statistic for the hypotheses test is given by:

[tex]t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}[/tex]

At the null hypotheses, it i tested if the mean difference remains the same, that is:

[tex]H_0: \mu  = 0[/tex]

At the alternative hypotheses, it is tested if it has decreased, hence:

[tex]H_a: \mu < 0[/tex].

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

The parameters are given as follows:

[tex]\overline{x} = -1.75, s = 7.12, n = 35[/tex].

Hence the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}[/tex]

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Answer:

70

Step-by-step explanation:

in parallelograms, the measure of reciprocal angles is equal to 180 because they are supplementary,

m<D = 110 so the measure of m<A which is reciprocal to m<D is equal to 70

The statement is correct about the radionuclide the atomic number is 31, the mass number is 67, and its symbol is superscript 67 subscript 31 baseline upper g a.

To answert the question, we need to know what an atom is.

An atom is the smallest indivisible part of a substance. It is represented by letters.

So, since the atom of this radionuclide contains 31 protons and 36 neutrons.

So, its atomic number is 31. Its mass number is number of protons + number of neutrons = 31 + 36 = 67. Its symbol is superscript 67 and subscript 31.

So, the statement is correct about the radionuclide the atomic number is 31, the mass number is 67, and its symbol is superscript 67 subscript 31 baseline upper g a.

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Answer:4 PCs and 8 Macs

Step-by-step explanation:

They consists of equations and unknown variables. There are 4 PCs and 8 Mac in the room

They consists of equations and unknown variables

Let the number of PCs be x

Let the number of Mac be y

If Mke has 12 computers, then;

x + y = 12

If there are two Macs for every PC in his classroom, then;

y = 2x

Substitute

x + 2x = 12

3x = 12

x = 4

Recall y = 2x

y = 2(4)

y = 8

There are 4 PCs and 8 Mac in the room

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Answer:

A parameter is a numerical description of a population characteristic

Step-by-step explanation:

A parameter is a numerical description of a population characteristic

Answer:

total surface area = 324 m²

lateral surface are = 132 m²

top surface area = 96 m²

bottom surface area = 96 m²

Answer:

Step-by-step explanation:

Formula

P = 5 + 1.50n

P is the total Cost

n is the number of Km travelled.

Solution

Substitute n = 25 into the formula

P = 5 + 1.5 * 25

P = 5 + 37.5

P = 42.50

Answer

42.50 dollars for 25 km.

Answer:

150

Step-by-step explanation:

Knowing that a cube has 6 faces which all are equal.

Thus, Multiply the area of one face by the number of faces to get the total surface area of the cube.

Since, it given that one face is 5 cm

Then, we also must know the formula for area of a cube

Which is:

[tex]Area=6a^2[/tex]

Thus,

[tex]Area=6a^2[/tex]

[tex]Area=6(5)^2[/tex]

[tex]Area=6(25)[/tex]

[tex]Area=150[/tex]

Kavinsky

Answer:

60

Step-by-step explanation:

[tex]\begin{aligned}f(x) & =x^2-4\\\implies f(8) & =(8)^2-4\\& =64-4\\& =60\end{aligned}[/tex]

Answer:

5 minutes

Step-by-step explanation:

Step-by-step explanation:

do you mean "base area" ?

and this is relative, friend how the object is placed on the ground.

the way it is depicted, the base is a triangle.

and the area of a triangle is

baseline × height / 2

in our case

11 × 4.3 / 2 = 23.65 cm²

Answer:

FOR THE AREA:

Count how many full squares are in the middle, then count how many halves there are on the outer edge. the divide the amount of halves by 2 then add to the amount of full squares.

Answer:  $27.5

Step-by-step explanation:

10 percent of 25 is 2.5 (which is the tax). We just add that to the cost of the shirt and we get the final cost of $27.5.

The sales they might anticipate if they raise the price to $40 a bottle is $1,500.

Using this formula

Anticipated sales=(Current selling price÷Increase in price)×Number of bottle sold

Let plug in the formula

Anticipated sales=($30÷$40)×2,000

Anticipated sales=$0.75×2,000

Anticipated sales=$1,500

Therefore the sales they might anticipate if they raise the price to $40 a bottle is $1,500.

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Answer:

There is a total of 200 dollars profit

Answer:

A. The fewest number of packages of cups and napkins that can be purchased so that they will be the same is 3 packages of cups and 2 packages of napkins.

B. I'm not sure what this part is asking, I hope someone else comes in and helps.

Step-by-step explanation:

Part A Explanation:

3 packages of cups gives you 24 cups total

2 packages of napkins gives you 24 napkins total

Answer:If im correct the answer is C

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Q1

Q2

Q3

Q4

Q5

The domain restrictions on the rational function [tex]\frac{50}{4x - 12} + \frac{x- 4}{x^2 + x - 12} = \frac{x}{2}[/tex] are (b) x = 3 or and (d) x = -4

The function as expressed in the correct format is:

[tex]\frac{50}{4x - 12} + \frac{x- 4}{x^2 + x - 12} = \frac{x}{2}[/tex]

Factorize the denominators of the fractions

[tex]\frac{50}{4(x - 3)} + \frac{x- 4}{x^2 + 4x- 3x - 12} = \frac{x}{2}[/tex]

Factor out x and -3

[tex]\frac{50}{4(x - 3)} + \frac{x- 4}{x(x + 4)- 3(x + 4)} = \frac{x}{2}[/tex]

Factor out x + 4

[tex]\frac{50}{4(x - 3)} + \frac{x- 4}{(x- 3)(x + 4)} = \frac{x}{2}[/tex]

Set the denominators to 0

4(x - 3) = 0

(x - 3)(x + 4) = 0

Solve for x:

4(x - 3) = 0 ⇒ x = 3

(x - 3)(x + 4) = 0 ⇒ x = 3 or x = -4

This means that the domain restrictions on the rational function are (b) x = 3 or and (d) x = -4

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Answer:

Min max median and q3 is correct, q2 should be 8.5

The visitor data is best modeled by a quadratic function, and the state park management should plan for more than 400 visitors next year.

To do this, we simply plot the points on a graph.

See attachment for the graph that represents the table.

From the attached graph, we can see that the points on the graph follows an approximately quadratic path

Hence, the visitor data is best modeled by a quadratic function

Also, the state park management should plan for more than 400 visitors next year.

This is so because the range of a quadratic function is the set of all real numbers.

This means that the table can accept a value of 400 (or greater) as one of its data points

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