What is the meaning of quote"the set of all mappings \(x_{i} \mapsto a_{i}\) that assign to each \(x_{i}\in X\) a nonnegative integer \(a_{i}\)" ?

Answer:

9/38

Explanation:

The total number of freshmen = 9

The total number of participants = 38

Therefore, the probability that a randomly selected student is a Freshman:

Answer:

  B.  False

Step-by-step explanation:

You want to compare the lateral surface areas of a cone and cylinder, where the slant height of the cone is twice the height of the cylinder. Your proposition is that the cone's lateral area is half that of the cylinder.

Effectively, the lateral area of a cone is the area of a triangle whose base is the circumference of the cone, and whose height is the cone's slant height. The formula for the lateral area of a cone of radius r and slant-height s is ...

  A = πrs

For the given dimensions (s=2h), the lateral area is ...

  A = πr(2h) = 2πrh

The lateral area of a cylinder is the area of a rectangle whose base is the circumference of the cylinder, and whose height is the cylinder's height. The formula for the lateral area of a cylinder of radius r and height h is ...

  A = 2πrh

The lateral areas of the given figures are both 2πrh, so one is not half the other.

The proposition is False.

Answer:

i think it would be negative. -1/8

Answer:

-2,1,6,13,22

Step-by-step explanation:

cn = n^2 -3

Let n=1

c1 = 1^2 -3 = 1-3 = -2

Let n=2

c2 = 2^2 -3 = 4-3 = 1

Let n=3

c3 = 3^2 -3 = 9-3 = 6

Let n=4

c4 = 4^2 -3 = 16-3 = 13

Let n=5

c5 = 5^2 -3 = 25-3 = 22

Answer:

A. the angular speed is 3771.4 rad/min

b. 5921 rpms

Step-by-step explanation: I just got this same question right on a test.

Answer:

x = - \(\frac{3}{4}\) , x = 1

Step-by-step explanation:

4x² = x + 3 ← subtract x + 3 from both sides

4x² - x - 3 = 0 ← in standard form

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 4 × - 3 = - 12 and sum = - 1

the factors are - 4 and + 3

use these factors to split the x- term

4x² - 4x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )

4x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(4x + 3) = 0 ← in factored form

equate each factor to zero and solve for x

4x + 3 = 0 ( subtract 3 from each side )

4x = - 3 ( divide both sides by 4 )

x = - \(\frac{3}{4}\)

x - 1 = 0 ( add 1 to both sides )

x = 1

solutions are x = - \(\frac{3}{4}\) , x = 1

Answer:

c=$7500 + $150s

Step-by-step explanation:

C=$7500+$150(17)

$7500+$2550=$10,050

Answer:

Draw an arrow from the origin to (4, 0)

Step-by-step explanation:

u-v+w

= <-3, -4> - <-4, -1> + <3, 3>              

= <4, 0>

We want to perform a sum of vectors and draw the resultant vector. The resultant vector will be <4, 0> and its graph can be seen at the end.

If we see the image, we can write the vectors as:

Now we want to sum:

u - v + w

Remember that in the sum of the vectors we just add (subtract) the correspondent components, then we will have:

u - v + w = <-3, -4> - <-4, -1> + <3, 3> = <-3 + 4 + 3, -4 + 1 + 3> = <4, 0>

The graph of the resultant vector can be seen below.

If you want to learn more, you can read:

https://brainly.com/question/13291928

Answer:

The value of h is \(\frac{5}{2}\) units

Step-by-step explanation:

In the given figure

∵ Every two opposite sides of the parallelogram are equal

∴ The length of the base of the height h is 3 units

∵ The area of the parallelogram = \(\frac{15}{2}\) units

∵ Area of parallelogram = b × h

→ Substitute the values of the area and the base in the rule above

∴ \(\frac{15}{2}\) = 3 × h

∴ \(\frac{15}{2}\) = 3h

→ Divide both sides by 3 to find h

∵  \(\frac{15}{2}\) ÷ 3 = 3h ÷ 3

∴ \(\frac{15}{6}\) = h

→ Simplify the fraction by divide up and down by 3 and switch the 2 sides

∴ h = \(\frac{5}{2}\) units

I'm sorry, I can't see the chart so I can't answer this question.

Answer:R’ (-10,2) S’(-6,8) T’(4,-2)

Step-by-step explanation:

Did it in class

After dilation of ΔRST with the given scale factor we have vertices of ΔR'S'T' as R'(-10, 2), S'(-6, 8) and T'(4, -2).

Given that, ΔRST with vertices R(-5,1), S(-3,4), and T(2,-1).

Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.

Given, scale factor is k=2.

So, with using scale factor

R(-5,1)→2(-5, 1)= R'(-10, 2)

S(-3,4)→2(-3,4)=S'(-6, 8)

T(2,-1)→2(2,-1)=T'(4, -2)

Therefore, after dilation of ΔRST with the given scale factor we have vertices of ΔR'S'T' as R'(-10, 2), S'(-6, 8) and T'(4, -2).

To learn more about the dilation visit:

https://brainly.com/question/13176891.

#SPJ2

Answer:

y = -x + 1

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

The correct answer is 5 2/15

Step-by-step explanation:

Since the numerators on both numbers are opposite, you have to go through an equation to make them equal.

4/5 and 1/3 don't have the same numerator. Because of this, you have to find the least common multiple.

5, 10, 15

3, 6, 9, 12, 15

Now that we found said number, we have to multiply the denominators so they match as well. How we do that is by multiplying the number by how many times the numerator has been multiplied to.

Since 5 had to be multiplied by 3 to get to 15, you would multiply 4 by three, giving you 12/15. Same goes with the other fraction, 3 times 5 got us 15, so we would multiply 1 by 5, giving us 5/15.

Now it's as simple as adding. 12/15 + 5/15 = 17/15, which will make 1 2/15. Add that to the whole numbers you have and you will get 5 2/15. (Note: You cannot simplify 2/15, so you leave it as is)

Answer: $3.50x + 7.50=240,000

Step-by-step explanation:

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

For more such questions on height, click on:

https://brainly.com/question/28122539

#SPJ8

A colligative property depends on the number of solute particles dissolved in the solution.

Hence, option C is correct.

Colligative property depends on the concentration of the molecules present in solute or ions but it does not depend on the identity of the solute.

Colligative properties may include the increase in boiling point, decrease in freezing point, decrease in vapor pressure and also there is a decrease in osmotic pressure.

Solvent is a substance in which any solute can dissolve to produce a mixture. Solute is a substance which can be dissolved in the solvent to produce a mixture of different substance.

To know more about colligative property here

https://brainly.com/question/29840951

#SPJ4

The slope of a line perpendicular to the line x + 6y = -24 is 6. This means that if we draw a line perpendicular to the given line, it will have a slope of 6.

To find the slope of a line perpendicular to the given line, we first need to determine the slope of the given line. The equation of the given line is in the form Ax + By = C, where A, B, and C are coefficients.

Let's rearrange the equation of the given line to slope-intercept form (y = mx + b), where m represents the slope:

x + 6y = -24

To isolate y, we can subtract x from both sides:

6y = -x - 24

Next, divide both sides by 6:

y = (-1/6)x - 4

Comparing this equation to y = mx + b, we can see that the slope (m) of the given line is -1/6.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line. The negative reciprocal of -1/6 can be found by flipping the fraction and changing the sign:

Slope of perpendicular line = -1 / (-1/6)

= -1 * (-6/1)

= 6

For more such questions on perpendicular visit:

https://brainly.com/question/1202004

#SPJ8

Answer:

1 1/3 (or 1.33333..)

Step-by-step explanation:

d: distance    A₁x+B₁y+C₁z+D₁=0      2x+2y+z-6=0  ... D₁ = -6

A₂x+B₂y+C₂z+D₂=0   ... A₂=2   B₂=2   C₂=1   D₂= -10

d =   |D₂ - D₁| / (√A₂² + B₂² + C₂²)

  = |-10 - -6| / (√2² + 2² + 1²)

  = |-4| / √9

  = 4/3

  = 1 1/3

Answer:

a. 5000 kg

b. 300 ml

c. 9 hours

Part A 0.124

Part B 0.733

Part C 0.408

P(A) is the product of the number of outcomes in event A and the overall sample space. The chance of event A occurring, for instance, is 3/6, or 0.5, if we have a sample space of 6 outcomes (such as when rolling a die), and event A consists of 3 of those outcomes (such as when rolling a 1, 2, or 3).

A mathematical representation of a random process, known as a probability model, is used to express the possibility of certain events occurring. A list of all potential outcomes and the likelihood that each outcome will occur make up its two basic parts.

Using the table Given :

1.) P(AP Statistics) = 90 / 725 = 0.124

2.) P(12th grade ; Precalculus or AP Statistics) = (100 + 65) / 225 = 165 /225 = 0.733

3.) P(Algebra 11 | 11th grade) = P(Algebara11 n 11th grade) / P(11th grade) = 100 / 245 = 0.408

To know more about How to Calculate probability in  AP Statistics refer to:

https://brainly.com/question/19388319

#SPJ1

The value of k is 18.

If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.

Substituting x = -2 into f(x), we have:

f(-2) = (-2)³ + 5(-2) + k

= -8 - 10 + k

= -18 + k

Since f(-2) should equal zero, we have:

-18 + k = 0

k = 18

Therefore, the value of k is 18.

Learn more about Factor here:

https://brainly.com/question/30612677

#SPJ1

Answer:

(0, 17/3)

Step-by-step explanation:

Look at (2,7) and (-4,3)

Slope of the line going through 2 points are:

m = (y2 - y1)/(x2 - x1) = (3 - 7)/(-4 - 2) = -4/-6 = 2/3

Using m = 2/3, y =7, x = 2

y = mx + b

=> 7 = 2/3(2) + b

7 = 4/3 + b

b = 7 - 4/3 = 21/3 - 4/3 = 17/3

so equation of the line going through (2,7) and (-4,3) is:

y = 2/3x + 17/3

D is on y-axis which means x = 0

so y = 2/3 (0) + 17/3 => y = 17/3

then D is (0, 17/3)

Hope this helps.

Answer:

Step-by-step explanation:

Let D divide the line between (-4,3) and (2,7) in the ratio m:n

Let the coordinates of D be (x,y).

As D lies on the y- axis, x=0.

Use the formula: x=\(0=\frac{(-4)(n)+(2(m)}{m+n}\)

Solve to get m=2n.

Therefore, the line is divided in the ratio 1:2

\(y=\frac{3(2)+7(1)}{1+2}\)

Therefore, y=13/3

Therefore D=(0,13/3)

Answer:

3a)1680

b)2620

4a)2130

b)13300

c)460

d)7540

Step-by-step explanation:

3a)1500+180

b)2800-170

4a)1800+330

b)7300+6000

c)670-210

d)8000-460

Answer:

a) 1600

b) 2600

c) 2200

d) 13200

e) 500

Step-by-step explanation:

a) 1463 + 179

1400 + 200

1600

b) 2806 - 176

2800 - 200

2600

c) 1831 + 329

1900 + 300

2200

d) 7345 + 5893

7300 + 5900

13200

e) 665 - 213

700 - 200

500

Answer:

In RPGs a Character Class is a designation that determines a player's abilities and fighting style (and depending on the game possibly even their origin, education, and home area) often in the form of a job or archetype. A character class is defined by the abilities that it lends to a character — as such, two different characters with the same class are theoretically interchangeable, in that they have the same "power set" and can play the same role in gameplay because of their similar abilities. However, character class systems can come with varying levels of customization — ranging from characters of a given class being literally identical to having so much variety that character class is no longer even a good indicator of that character's abilities. While most common in fantasy Role-Playing Games, they have recently began to appear in other genres, such as trading card games and MOBAs.

Step-by-step explanation:

Let's begin by listing out the information given to us:

We start out by observing that Triangles MKR & ACD are similar or proportional

We will solve for the missing side by using the similar triangle theorem. This is shown below:~

The coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

Translation on the coordinate plane is sliding a point or figure in any direction without any changes in size or shape.

During translation, the coordinates of the vertices of a figure or point change, and they slide left or right, up, or down without changing size or shape.

Given the question above, we need to find the coordinates of the vertices for the image of the pre image that are translated 4 units right.

So,

\(\rightarrow\sf \boxed{\boxed{-5+4=1=\bold{(-1,2)}}}\)

\(\rightarrow\sf \boxed{\boxed{1+4=5=\bold{(5,3)}}}\)

\(\rightarrow\sf \boxed{\boxed{-3+4=1=\bold{(1,0)}}}\)

Thus, the coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

Learn more about translation on a coordinate plane at:

https://brainly.com/question/28109834

Answer:

Step-by-step explanation:

5x-2y=-4

-2y=-5x-4

y=5/2x+2

This is the same as writing y = sqrt(4(x+5)) - 1

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

Explanation:

The given graph appears to be a square root function.

The marked points on the curve are:

Reflect those points over the line y = x. This will have us swap the x and y coordinates.

Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.

----------

Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).

Plug the coordinates of each point into the template y = ax^2+bx+c.

For instance, plug in x = 1 and y = -4 to get...

y = ax^2+bx+c

-4 = a*1^2+b*1+c

-4 = a+b+c

Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c

Repeat for (5,4) and you should get 4 = 25a+5b+c

We have this system of equations

Use substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.

In other words

a = 1/4, b = 1/2, c = -19/4

We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4

----------

Next we complete the square

y = (1/4)x^2+(1/2)x-19/4

y = (1/4)( x^2+2x )-19/4

y = (1/4)( x^2+2x+0 )-19/4

y = (1/4)( x^2+2x+1-1 )-19/4

y = (1/4)( (x^2+2x+1)-1 )-19/4

y = (1/4)( (x+1)^2-1 )-19/4

y = (1/4)(x+1)^2- 1/4 - 19/4

y = (1/4)(x+1)^2 + (-1-19)/4

y = (1/4)(x+1)^2 - 20/4

y = (1/4)(x+1)^2 - 5

The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.

----------

The last batch of steps is to find the inverse.

Swap x and y. Then solve for y.

y = (1/4)(x+1)^2 - 5

x = (1/4)(y+1)^2 - 5

x+5 = (1/4)(y+1)^2

(1/4)(y+1)^2 = x+5

(y+1)^2 = 4(x+5)

y+1 = sqrt(4(x+5))

y = sqrt(4(x+5)) - 1

I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.

You can also use a tool like GeoGebra to verify the answer.

Answer:

Answer is 721.561 answer thanks

Answer:

1920 cm³

Step-by-step explanation:

V = w · h · l

V = 8 · 14 · 10

V = 1120 cm³

Now for the smaller one.

V = w · h · l

V = 8 · 10 · 10

V = 800 cm³

1120 cm³ + 800 cm³

1920 cm³

Answer:

1920 cm ^3

Step-by-step explanation:

find the volume of the 2 cuboids seperatly.

bigger one: LXWXH --> 8 X 14 X 10 = 1120

smaller one: LXWXH --> 10X10X8 = 800

add them up

1120 + 800 = 1920 cm

Hope this helps :D