Is the following relation a function?

Answer:

test score of new student = 43

Step-by-step explanation:

28 x 72 = 2016 (total points class scored)

29 x 71 = 2059 (total points class scored after student joined)

2059 - 2016 = 43

The test score of the student who joined the class is 43.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The mean test score of 28 students is 72.

A student joins the class and the mean becomes 71.

We have to find the test score of the student who joined the class.

28 x 72 = 2016

29 x 71 = 2059 (total points class scored after student joined)

The difference between 2016 and 2059 is the test score of new student.

2059 - 2016 = 43

Hence, the test score of the student who joined the class is 43.

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Step-by-step explanation:

20n 20394848484848575

The impulse on the body is 20 kg-m/s, the final speed of the body is 2m/s, and the distance covered within the time interval is 0.5m.

Force is the strength applied on an object with mass to change its state of motion.

The mass of the body is 10kg.

The force applied on the object is 40N.

The time for which the force is applied is 0.5 sec.

The impulse on the body is calculated by,

Impulse =  Force * Time

Impulse = 40 * 0.5

Impulse = 20 kg-m/s

The final speed of the body is given by

v = u + at

Assuming the initial speed = 0

v = at

Acceleration =  Force / mass

Acceleration = 40/10

a = 4 m/s²

v = 4 * 0.5

v = 2 m/s

The distance covered within the time interval is given by,

s = ut + (1/2) at²

s = (1/2) at²

s = (1/2) 4 * 0.5 *0.5

s = 0.5 m

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Answer:

We Subtract

Her weight on her third birthday = 36.94 pounds

Step-by-step explanation:

Does this mean to add or subtract? This means we add. The operation we are using is SUBTRACTION

Leslie GAINED 5.54 pounds between her third and fourth birthdays.

This means she added weight

She weighed 42.48 pounds on her Fourth birthday

Hence, Her weight in her third birthday is:

Third birthday + 5.54 pounds = 42.48

$42.48

Third birthday = 42.48 - 5.54

= 36.94 pounds

Her weight on her third birthday = 36.94 pounds.

Answer:

The lines do not intersect. and The lines have the same slope.

Step-by-step explanation:

The two statements that are true for parallel lines are:

The lines do not intersect.

The lines have the same slope.

Here, we have,

given that,

Two lines are parallel.

we have, given options are:

The lines do not intersect.

The lines have the same slope.

The lines intersect and form 4 right angles.

The lines intersect and form two pairs of congruent opposite angles, one acute pair and one obtuse pair.

now, we know that,

Parallel lines never intersect, and their slopes are equal.

The other two statements, that the lines intersect and form 4 right angles or two pairs of congruent opposite angles (one acute pair and one obtuse pair), are characteristics of perpendicular lines, not parallel lines.

so, we get,

The two statements that are true for parallel lines are:

The lines do not intersect.

The lines have the same slope.

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Answer:

7 seconds per song?

Step-by-step explanation:

Answer:

I assume you're asking how long it takes to download 1 song, which would be 7 seconds.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

you use the Pythagorean theorem which you do 24^2 + b^2 = 26^2 you should have 576+b^2=676 then subtract 576 on both sides b^2=100 then sqre root which leaves you with b=10

Answer:

Equation: y = x - 4

Slope: 1

y-intercept: -4

Equation: y = -9x + 5

Slope: -9

y-intercept: 5

Hope this helps!

Answer:

4.2 gigabytes

Step-by-step explanation:

To find the answer, you need to write an equation where the cost of Carolina Cell is equal to the cost of Sanford Cell:

20.79+2x=22.89+1.50x, where x is the number of gigabytes used.

Now, you can solve for x:

2x+1.50x=22.89-20.79

0.5x=2.1

x=2.1/0.5

x=4.2

According to this, the answer is that both plans would cost the same  when 4.2 gigabytes are used.

Answer:

k = 3

Step-by-step explanation:

Given

4.5 + 1.5k = 18 - 3k ( add 3k to both sides )

4.5 + 4.5k = 18 ( subtract 4.5 from both sides )

4.5k = 13.5 ( divide both sides by 4.5 )

k = 3

Answer:

[tex]k=3[/tex]

Step-by-step explanation:

[tex]4.5+1.5k=18-3k[/tex]

Subtract 4.5 to both sides

[tex]15k=13.5-3k[/tex]

Add 3k to both sides

[tex]4.5k=13.5[/tex]

Divide both sides by 4.5 to get k alone

[tex]\frac{4.5k}{4.5} =\frac{13.5}{4.5}[/tex]

[tex]k=3[/tex]

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Answer:

B = 10

Step-by-step explanation:

5B + 6 + 4B - 6 = 90

9B + 0               = 90

Therefore,      B = 10

Answer:

$4.5

Step-by-step explanation:

I'm gonna do my work on paper.

Answer:

- 3000 feets

Step-by-step explanation:

Given that:

Elevation at the summit of Mount Washington = 6288 ft

Elevation of Carter Notch Hut = 3,288 feets

The change of elevation in feets on the hike from summit to Carter Not hut:

Difference in elevation:

Summit at Mount Washington - Carter notch hut

6288 ft - 3288 ft

Change in elevation. = 3000 fts

Since the change decreased from 6288 to 3288, the elevation is downward and hence, negative = - 3000 feets

Answer:

b

Step-by-step explanation:

Answer:

It would be larger than

Step-by-step explanation: hope this helps

Answer:

[tex]by \:alternate \: interiar \: angle \: \\ (8y + 2) + (25y - 20) = 180 \\ 8y + 2 + 25y - 20 = 180 \\ 33y - 18 = 180 \\ 33y = 180 + 18 \\ 33y = 198 \\ y = 6 \\ \\ now \\ by \: \: linear \: pair \: \\ 10x + 8y + 2 = 180 \\ 10x + 48 + 2 = 180 \\ 10x = 180 - 50 \\ 10x = 130 \\ x = 13[/tex]

Answer:

Step-by-step explanation:

Putting values into the equation

14(1) - 4 - 2(4)

14 - 4 - 8

10 - 8 = 2

Given :

The ratio of the number of adults to the number of students at a field trip has to be 3:8.

During a current field trip, there are 190 more students on the trip than there are adults.

To Find :

How many students are attending the field trip? How many adults?

Solution :

Let, number of adults are x.

So, number of students are x + 190.

We know :

[tex]\dfrac{x}{x+190}=\dfrac{3}{8}\\\\8x = 3(x+190)\\\\8x -3x = 570\\\\5x = 570\\\\x = 114[/tex]

Number of students are 114 and number of adults are 114+190 = 304.

Hence, this is the required solution.

7/4 ÷ (3/2)

=7/4 × (2/3)

=(7×2)/(4×3)

=14/12

=(14÷2)/(12÷2)

=7/6

=1 1/6

Answer:

I'm sorry but I don't know how to do function notation. I'm so sorry that I couldn't help you with this.

Answer:

the x intercept is the y and x combined together crossing each other

Answer:

Step-by-step explanation:

y = a(x - h)² + k    - vertex form of quadratic function with vertex (h, k)

y = a(x - (-1))² + 5    - vertex form of quadratic function with vertex (-1, 5)

y = a(x +1)² + 5

graph goes through (2, -3) so if x=2 then y =-3

-3 = a(2+1)² + 5

-3 -5 = a×3² + 5 - 5

 -8 = 9a

  a = -⁸/₉

So the equation of the function:

                                                    y =  -⁸/₉(x + 1)² + 5

Answer:

[tex]x=\pm5[/tex]

Step-by-step explanation:

First, add 75 to each side.

[tex]3x^2-75+75=0+75\\3x^2=75[/tex]

Next, divide each side by 3.

[tex]x^2=25[/tex]

Now, you can take the square root.

[tex]x = \pm\sqrt25}[/tex]

[tex]x=\pm 5[/tex]

Answer:

[tex]2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}[/tex]

Step-by-step explanation:

Simplify the expression

[tex]2m^5\cdot 5m^3\cdot 7m^2[/tex]

Calculate the product of the coefficients:

2*5*7=70

Compute the product of the variables. Since they are all the same letter, sum their exponents:

[tex]m^5\cdot m^3\cdot m^2=m^{5+3+2}=m^{10}[/tex]

Combine the results:

[tex]\boxed{2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}}[/tex]

Answer:

slope = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

Given : A linear equation in two variables is given to us , which is y = -½ + 3 .

To Find : The slope of the line .

Solution : The given equation to us is y = -½ + 3 . This equation is also similar to form of a equation in slope - intercept form , which is ,

[tex]\large\boxed{\red{\bf y = mx + c }}[/tex]

Where , m is the slope of the line and c is the y - intercept of the line .

Now , on comparing the equation with the standard form , we have :

Hence the slope of the line is -½.

Answer:

we need to see the problem

Step-by-step explanation:

try sending a picture

Answer: $0.14 per fluid ounce.

Step-by-step explanation: $4.48 divided by 32 = $0.14

Answer:

122

Step-by-step explanation:

Answer: A

The number of distinctive prime factors in Column A is 60.

The number of distinctive prime factors in Column B is 30.

This number is 1/2 half more prime factors.

There is 30 more prime factors, so the answer is A.

The quantity in column A is larger than column B.

Answer:

y=-8x+48

Step-by-step explanation:

Slope is -8 because perpendicular slopes are negative reciprocals

Plug it in:

-8=7(-8)+b

48=b

Answer:

$2.14

Step-by-step explanation:

x =  price

24x+(x+16) = 53.5

25x+16 = 53.5

25x+53.5

x=53.5/25=2.14

Answer:

3 to the 3rd power

Step-by-step explanation: