⠀I
R={(-3, -2), (-3, 0), (-1, 2), (1, 2)}
Select all numbers that are in the domain.
-3
-2
-1
0
1
2

A function's domain is the set of values ​​that can be put into the function. This set is the x-value of a function like f(x). In its simplest form, the domain includes all values ​​entering the function, and the range includes all values ​​output.

A function's range is the set of values ​​it takes on. This set is the values ​​that the function executes after inserting the x values. Those are the y-values.

The amount of money remaining is 25 on the phone card, and the value of m given is

M=25-0.15

25>=M>=0 (it is a 25 Dollar Phone Card)

25-0.15n>=0

N=<500/3

N>= 0

Their range and domain are

Range: 0=<N=<500/3

Domain: 0=<M=<25

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The equation of the line in point-slope form, which passes through the points located at (1 , 0) and (5 , 5), is y = 5/4(x - 1).

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).

Getting the slope of the two points: (1 , 0) and (5 , 5).

m = (y2 - y1)/(x2 - x1)

m = (5 - 0)/(5 - 1)

m = 5/4

Using the point slope form, plug in the values of the slope and one point to set up the equation.

(y - y1) = m(x - x1)

where m = 5/4 and (x1 , y1) = (1 , 0)

(y - 0) = 5/4(x - 1)

y = 5/4(x - 1)

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The arithmetic mean of the monthly salaries of two employees is $ 3210 . One employee earns $ 3470 per month. What is the monthly salary of the other employee.

Then $2950 is the salary of the other employee.

$2950 is the monthly salary of the other employee.

a. the given information = mean of two salaries =  3210

                                       = salary of 1st employee =3470

the unknown information = salary of 2nd employee = 2950

The arithmetic mean is the most straightforward and widely used method of calculating a mean or average. It only requires adding up a group of figures, then dividing the result by the entire amount of figures in the series. Consider the numbers 34, 44, 56, and 78 as an example. It totals 212.

The mean or arithmetic average are other names for the arithmetic mean. It is determined by adding up each number in a particular data set, then dividing the result by the overall number of items in the data set. For uniformly distributed integers, the middle number serves as the arithmetic mean (AM).

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Answer:

1 by 24

2 by 12

3 by 8

4 by 6

Step-by-step explanation:

We look at all the factors of 24.

1, 2, 3, 4, 6, 8, 12, 24

He can make the area:

1 by 24

2 by 12

3 by 8

4 by 6

The last one.

It states that "The video games cost $43 each." and the total price was $72 in movies meaning that the x would go with the 43 and 1,128 would have to be greater than the amount she's buying or she won't be able to buy it.

Answer: different and subtract go in the empty spaces

Answer: 607 7
                       _
                       10

Step-by-step explanation:

The correct option is A. 1/18. Shannon has a 1/18 chance of being in the second P.E. class along with the first lunch.

Two events are considered independent if the happening of the one doesn't affect the likelihood of the happening of the other.

The mathematical model of event independence A and B is the probability of both A and B occurring becoming equal to the product of a probabilities of A & B.

Now, for the stated question;

Let the probability that the Shannon will get second P.E class is P(A) = 1/6.

Now, Let the probability that the Shannon will get first lunch is P(B) = 1/3.

Ad, both events are independent.

Thus, the intersection will be -

P (A∩B) = P(A).P(B)

P (A∩B) = 1/6×1/3

P (A∩B) = 1/18.

Therefore, the probability that Sharron will be in the second P.E. class and the first lunch is 1/18.

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Answer: 26 1/5 or Decimal Form: 26.2

Step-by-step explanation:

5^2-4/5 + 2

25 - 4/5 +2

131/5 = 26 1/5

The equation that relates the number of jars of jelly bean candies and the number of containers of caramel candies is 8/16 J + 40/16 c = 10.

The given parameters:

Weight of jelly bean can = 8 ounces

Weight of caramel candies, = 40 ounces

Amount of Jelly bean and caramel candies bought  = 10 pounds

Number of ounces in one pound = 16 ounces.

Therefore, the equation that relates the number of jars of jelly bean candies and the number of containers of caramel candies is 8/16 J + 40/16 c = 10.

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Answer:

$32

Step-by-step explanation:

1.20÷100×40=8

2.$40-$8=$32

The feasible solution is the best solution possible for a mathematical model , the statement is False.

Feasible Solution for a mathematical model is defined as the solution that satisfies all the constraints of the linear program.

Whereas an Optimal Solution is a feasible solution that minimizes or maximizes the function.

Optimal Solution is a part of feasible Solution .

So , an Optimal Solution can also satisfy all the constraints of the linear program.

Hence, The feasible solution is the best solution possible for a mathematical model statement is False .

Therefore , the correct option is (b) false.

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The midpoint of AB has coordinates (9, -1.5), the gradient of line L is -3 and the point (100, -302) doesn't lie on L.

What is a coordinate?

Coordinates are numerical lengths or angles that uniquely identify locations on two-dimensional (2D) surfaces or in three-dimensional (3D) space (3D). Mathematicians, physicists, and engineers employ a variety of coordinate schemes.

(a) Given point A (5, -4) and point B (13, 1)

Therefore, midpoint of AB is [tex](\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

                                          [tex]or,(\frac{5+13}{2},\frac{-4+1}{2})[/tex]

                                          [tex]or, (\frac{18}{2},\frac{-3}{2} )[/tex]

                                          [tex]or,(9, -1.5)[/tex]

(b) In the equation [tex]y=2-3x[/tex], -3 is the gradient of line L.  

(c) The point with coordinates (100, -302) doesn't lie on L as it doesn't satisfy the equation [tex]y=2-3x[/tex]

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Answer:

6.1 * 10^-3

Step-by-step explanation:

This is because 10^-3 = 0.001 so 0.0061=6.1 * 10^-3

Answer:

6,100,000,000

Step-by-step explanation:

0.0061 x 10^12 =6,100,000,000

Characteristics exhibited by continuously varying traits are called quantitative traits. These continuously varying traits always measure phenotypes which usually depend on the cumulative behavior of many genes.

What are continuously varying traits?

Continuous varying traits exhibit the characteristics whose traits do not fall in the discrete categories like height and weight. Different traits which come under continuous varying traits are anatomical traits, physiological traits, behavior traits as well as diseases. It shows the continuous phenotypic variation within the group of individuals.

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Answer:

Is this an incomplete question?

Step-by-step explanation:

The most commonly used explicit of an arithmetic sequence is given as,

an = a + (n - 1) d.

Each term in the sequence can easily be solved/computed without knowing the other terms in the sequence. Now by using the given information, we can say that,

First number a1 = 18

Tolerance d = 3

Now putting the values in the given formula, we will get,

an=a1+(n-1) d

=18+(n-1)3

=3n+15

20

= ∑ 3n+15

n = 1

Sn = ∑3n+15

=3∑n+15∑1

=3 n(n+1)/2+15n

Sn =3* 20(20+1)/2+15(20)

=30 (21) +300

=630+300

=930

Total Seats 930.

Now to find the number of seats on every five lines.

5 10 15 20

= ∑ 3n+15; ∑ 3n+15 ; ∑ 3n+15 ; Ticket price for each set. $55; $50; $45

= 120 * 60 + 195 * 55 + 270 * 50 + 345 * 45

= $46950

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Answer:

Since the radius is 18 then the answer would be 113.1...

C=2πr=2·π·18≈113.097

Step-by-step explanation:

Hope it helps! =D

Answer:

C = 108 units

Step-by-step explanation:

using C = πd ( with π = 3 and d = 36 )

C ≈ 3 × 36 = 108 units

Answer:

$30.87

Step-by-step explanation:

Saturday

- gross: $90

- net: $77.75

Sunday

- gross: $120

- net: $101.38

Total gross: 90 + 120 = $210

Total net: 179.13

Total tax: 210 - 179.13 = 30.87

Answer:16 and 24

Step-by-step explanation:

There is a formula that relates circumference and radius of a circle. The formula is C=2πr, where π is roughly 3.14. So if the circumference is known, the radius can then be found using this formula.

Given:

Circumference of the circle =36 cm

The formula of circumference of the circle is C=2πr

Therefore,36=2πr

36=6.28r

π=3.14

r=36/ 6028

r=5.73cm

The radius of the circle is approximately

5.73cm.

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If the expression 16t² models the distance in feet that an object falls during the first t seconds after being dropped, then the distance of the object during 0.5 second is 4 feet

Given,

The expression model of the distance in feet that an object falls during the first t second after being dropped = [tex]16t^{2}[/tex]

Time = 0.5 second

Then the distance = [tex]16(0.5)^{2}[/tex]

=16×0.25

=4 feet

Hence, if the expression 16t² models the distance in feet that an object falls during the first t seconds after being dropped, then the distance of the object during 0.5 second is 4 feet.

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Answer:

x = -2

Step-by-step explanation:

First, distribute:

-12x + 28 = 52

Then, subtract 28 on both sides:

-12x = 24

Finally, divide -12 on both sides:

x = -2

Step-by-step explanation:

hope it helps

The coordinates of the point on the directed line segment is (-5,5)

In the given sum we are using the internal division formula which goes like:  (x,y) = (nx₁ + mx₂)/(m+n), (ny₁ + my₂)/(m+n)

with the available data we can interpret that where m = 1 , n = 4 , (x₁,y₁) = (-8,8) , (x₂,y₂) = (7,-7)

substituting the given values in the above formulae

The coordinates of the point is :

(x,y) = (4(-8) + 1(7))/(1 + 4) , (4(8) + 1(-7))/(1 + 4)

= ( -32 + 7)/5, (32 - 7)/5

= (-25/5) , (25/5)

= (-5,5)

∴ (x , y) = (-5 , 5)

So here the coordinates are (-5 , 5) which directed line segment from (-8,8) to (7,-7) that partions the segment into a ratio of 1 to 4

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Answer:

I think we're solving for A, so the answer would be 3

Step-by-step explanation:

Hope it helped

Based on the linear pair theorem, the value of x is: 42°.

A linear pair is a pair of two angles that are formed adjacent to each other on a straight line. These two angles, according to the linear pair theorem, have a sum of 180d degrees when their measures are added together.

From the image, we see that x° and 138° are a linear pair as they lie on a straight line.

Therefore:

x + 138 = 180 [linear pair theorem]

Subtract 138 from both sides of the equation

x + 138 - 138 = 180 - 138

x = 42°

Therefore, based on the linear pair theorem, the value of x is: 42°.

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::::: Answer ::::::::::::::::::::::

Simplifying the Equation :

[tex]a = \frac{1}{2} \times 8 \times h[/tex]

  [tex]= \frac{8}{2} \times h[/tex]

  [tex]= 4 \times h[/tex]

  [tex]= 4 h[/tex]

Then

[tex]\text{if h = 6} \longrightarrow a=4\times 6=24[/tex]

[tex]\text{if h = 7} \longrightarrow a=4\times 7=28[/tex]

[tex]\text{if h = 8} \longrightarrow a=4\times 8=32[/tex]

[tex]\text{if h = 9} \longrightarrow a=4\times 9=36[/tex]

Yes, the given set of numbers can be the measures of the sides of a triangle. The triangle is obtuse.

By the triangle inequality theorem, the sum of the lengths of any two sides should be greater than the length of the third side.

4 + 12 > 14

12 + 14 > 4

14 + 4 > 12

Hence, these set of numbers can be the measures of the sides of a triangle.

According to the Pythagorean Inequality Theorem, a triangle whose sides measure a, b, and c where c is the largest, the triangle can be characterized as:

acute if [tex]c^{2} < a^{2} + b^{2}[/tex]

obtuse if  [tex]c^{2} > a^{2} + b^{2}[/tex]

right if  [tex]c^{2} = a^{2} + b^{2}[/tex]

∴The longest side is 14.

Hence, a = 4, b = 12 and c = 14;

Consider        [tex]a^{2} + b^{2}[/tex] :

[tex]= 4^{2} + 12^{2}[/tex]

= 160.

Now consider [tex]c^{2}[/tex] :

= [tex]14^{2}[/tex]

= 196.

Thus, [tex]c^{2} > a^{2} + b^{2}[/tex]

Hence, the triangle is obtuse.

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