Which statement best describes if the relation (c, f) is a function?

The first book you select can be any one of 700.

. . . For each of those ...

The second book can be any one of the other 699.

. . . For each of those ...

The third book can be any one of the remining 698.

The total number of ways to gather three books from the shelves into your hands is  (700 · 699 · 698)  =  341,531,400 ways .

BUT ...

When you bring three books to the check-out counter, Marian the Librarian doesn't know in which order you took them down off the shelves.  You could have gathered the same three books in (3 · 2 · 1) = 6 different ways.

So, even though there are 341,531,400 ways to gather up three books, there are only (341,531,400 / 6) = 56,921,900 different GROUPS of three books that you can choose to take home.

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Functions.

so after plotting the graphs, we get as,

==> m = 2.5

==> b = 0

==> y = mx+c

a straight line

Answer:

your answer is, because i got it right your welcome

Step-by-step explanation:

Answer:

x = 63

Step-by-step explanation:

We can find the value of x by multiplying the difference of large arc to small arc with 1/2

if a = 117° then the large arc would be 243

1/2 × (243 - 117) = 63

Answer:

when y=1 then x=0.5

Step-by-step explanation:

The graph is provided.

The equation y=4x-1 can be graphed by first graphing the -1 which is the y-intercept in the y=mx+b form. 4=m that is our slope. you can find the lines second point by moving 4 up and 1 to the right. rise/run =4/1. So when you move 4 up and 1 right you get another point on the line (1,3).

You can find out x=0.5 when y=1 by just tracing your finger over the graph and the point when y equals 1 the line intercepts x=0.5. Another screenshot is given.

I hope this helps!

Answer:

x=17

sinD = [tex]\frac{8}{17}[/tex]

cos D would be 15 / 17

tan D would be 8/15

sin F is 15/17

cos F is 8/17

tan F is 15/8

Step-by-step explanation:

To solve for x, use the pythagorean theorem - [tex]a^{2} + b^{2} = c^{2}[/tex].

[tex]8^2 + 15^2 = x^2\\289 = x^2\\17 = x[/tex]

For the Sin of D, you put the opposite side over the hypotenuse:

8 / 17

To find Cos, you do adjacent side over hypotenuse and for Tan you do opposite side over adjacent.

cos D would be 15 / 17

tan D would be 8/15

sin F is 15/17

cos F is 8/17

tan F is 15/8

Answer:

Attachment 1:- x = 17

sin D = EF/DF = 8/17

Attachment 2:- sin D = 8/17

cos D = ED/DF = 15/17

tan D = sin D / cos D = 8/15

sin F = DE/DF = 15/17

cos F = EF /DF = 8/17

tan F = sin F / cos F = 15/8

sin = opposite / hypotenuse

cos = adjacent / hypotenuse

tan = sin / cos (or) opposite / adjacent

Answer:

[tex]4^m[/tex]

Step-by-step explanation:

When you exponent an exponent, you multiply the powers together.

When you divide exponents, you subtract the powers.

Step 1: Convert to same base

log₄64 = 3

Step 2: Rewrite equation

[tex]\frac{(4^3)^{0.5m}}{4^{0.5m}}[/tex]

Step 3: Simplify

[tex]\frac{4^{1.5m}}{4^{0.5m}}[/tex]

Step 4: Simplify

[tex]4^m[/tex]

Answer: 1,914

Step-by-step explanation:

first we take down the information given to us

For 92% confidence, z = 1.75

Error of margin  E = 2% = 0.02

Since no estimate of population proportion has been given, we will assume:

p = q = 0.50

Hence,  

Sample size required n

n = ( z/E)² × p × q

n = ( 1.75/0.02)² × 0.5 × 0.5

n = (87.5)² × 0.5 ×0.5

n =  1914

Answer:

Step-by-step explanation:

8d + 4 = 5d + 28

Group like terms

That's

8d - 5d = 28 - 4

3d = 24

Divide both sides by 3

d = 8

[tex] \frac{7(7g + 8)}{4} = 38.5[/tex]

Cross multiply

we have

7(7g + 8) = 38.5(4)

49g + 56 = 154

49g = 154 - 56

49g = 98

Divide both sides by 49

g = 2

Hope this helps you

Answer:

Explained below.

Step-by-step explanation:

The five-number summary of a set of observations are:

The five number summary data is used to determine the shape of the distribution. It can be used to determine whether there are any outliers in the data and if yes, then what are their values.

Answer:

Hey there!

We have the equation: y2-y1/x2-x1.

So, we have: 8-2/8-6.

6/2, or 3.

Hope this helps!

Answer:

9.

Step-by-step explanation:

When there is an absolute value, anything within the absolute value becomes positive. Things outside the absolute values stay as they are.

|-12| - |-3| = 12 - 3 = 9.

Hope this helps!

Answer:

The answer is C

Step-by-step explanation:

hope it helps

Answer:

when the square on the hypotenuse of a right-angled triangle is equal in to the sum of the squares on the other two sides

Step-by-step explanation:

let's say......

h = ?

o = 4

a = 4

a^2+o^2=32

square root 32

5.65685424949

that is the value for h

Answer:

A^2+B^2=C^2

you use it the find any length of a right angled triangle

Answer:

B. 8

Step-by-step explanation:

Step 1: Find g(-2)

g(-2) = (-2)² + 1

g(-2) = 4 + 1

g(-2) = 5

Step 2: Find f(5)

f(5) = 2(5) - 2

f(5) = 10 - 2

f(5) = 8

Complete question:

Dr. Lyte wishes to study speed of Reaction Time to press a button in response to the onset of a lamp. The independent variable (V) is the color of the light produced by the lamp (red, orange, yellow, green, or blue) Since only 10 participants are available, she elects to administer the IV within-subjects with all 10 participants being exposed to all five levels of the color variable. The order of the color of the light presentation is to be counterbalanced. Using concepts from the textbook, why would Dr. Lyte need to use counterbalancing in this scenario?

Answer:

Here,

Independent variable (IV) is: the color of the light produced by the lamp (red, orange, yellow, green, or blue)

We are also told only 10 participants are available.

All 10 participants are being exposed to all five levels of the color variable in the same order.

Counterbalancing is said to be a technique used when establishing task order. It helps prevent introduction if cofounding variables.

Dr. Lyte will need to use counterbalancing technique in this scenario because some of the participants may be unable to understand difference in similar colours. Example some participants may not be able to differentiate between orange and red when the red colour comes after orange.

But using counterbalancing technique, Dr. Lyte can avoid such an error.

Answer:

A, B and E statements are true

Step-by-step explanation:

Since in the question, it is mentioned that Eli selected two shirts out of pack 5 for a weekend trip

Classify each shirt as A, B, C, D, and E.

Now we have to go through the options

In the first statement it is mentioned that AB and BA are the similar. This is true as it contains in same bag.

Since Eli select two shirts so the second statement is also correct

And, the last statement is also true as he selects shirt B so there are four possible ways to second the second shirt as there are four remaining shirts are left after select one shirt

Hence, A, B and E statements are true

Answer: A, B, and E.

Step-by-step explanation:

A is correct: the combination of AB and BA are the same because they both contain the same letters, just a different order.

B is correct: each shirt can be paired with any one of the other remaining shirts because she will be choosing 2 shirts.

E is correct: If he chooses shirt B, there are 4 possible outcomes for choosing the 2nd shirt. This is true because there is only one B in a group of 5 shirts, so 5-1 = 4 possible outcomes.

Hope this helped.

Have a nice day. :)

Answer:

In this problem, there is multiple choice for every question. The trick is to exclude the answer that unlikely true.

To solve this easier, you need to find the distance of AB first. After that try to match the answer coordinate with the midpoint of AB. 

1.  Answer: Point C(-3.6, -3.4) divides AB in the ratio 2:3

A (-2,-1) and B(-6, -7)The distance between A and B would be:

x= x2-x1 = -6 - (-2)= -4

y= y2-y1 = -7 - (-1)= -6

Since both x and y coordinate of A and B is minus, let's try answer with x and y minus value.

Point C(-3.6, -3.4) divides AB in the ratio 2:3

x3= x1 + AB ratio* AB distance

x3= -2 + (2/2+3)*(-4)= -3.6

y3= y1 + AB ratio* AB distance

y3= -1 + (2/2+3)*(-6)= -1 - 12/5= -3.4

2.  Point C(0, 1) divides AB in the ratio 4:7

A(4,-3) and B(-7,8)

The distance between A and B would be:

x= x2-x1 = -7 - (4)= -11

y= y2-y1 = 8 - (-3)= 11

Since both x and y distance is 11, let's try answer with total ratio 11

Point C(0, 1) divides AB in the ratio 4:7

x3= x1 + AB ratio* AB distance

x3= 4 + (4/4+7)*(-11)= 4- 4=0

y3= y1 + AB ratio* AB distance

y3= -3 + (4/4+7)*(11)= -3 +4= 1

3. Answer: Point C(8, 9) divides AB in the ratio 5:3

A(3,4) and B(11,12)The distance between A and B would be:

x= x2-x1 = 11 - (3)= 8

y= y2-y1 = 12 - (4)= 8

Since both x and y distance is 8, let's try answer with the total ratio 8. Both of x and y also plus, so focus on coordinate with both x and y plus too.

Point C(3.5, -2.5) divides AB in the ratio 1:7-----> total ratio 8,y minus

Point C(-2, 5) divides AB in the ratio 2:6  -----> total ratio 8, x minus

Point C(8, 9) divides AB in the ratio 5:3   -----> total ratio 8, both x and y plus

x3= x1 + AB ratio* AB distance

x3= 3 + (5/5+3)*(8)= 3+ 5=8

y3= y1 + AB ratio* AB distance

y3= 4 + (5/5+3)*(8)= 4 +5= 9

4. Point C(-2, 5) divides AB in the ratio 2:6  

A(-5,2)and B(7, 14)

The distance between A and B would be:

x= x2-x1 = 7 - (-5)= 12

y= y2-y1 = 14 - (2)= 12

Since both x and y distance is 12, it will be hard to use it since 12 has many factors. Both y coordinate is plus, so focus on coordinate with y more than x and plus.

Point C(4, 1.6) divides AB in the ratio 3:2  ----->  x more than y

Point C(-2, 5) divides AB in the ratio 2:6  -------> y plus, y more than xx3= x1 + AB ratio* AB distance

x3= -5 + (2/2+6)*(12)= -5+ 3=-2

y3= y1 + AB ratio* AB distance

y3= 2 + (2/2+6)*(12)= 2 +3= 5

Step-by-step explanation:

Answer:

Do you have a photo or some other information to go with this?

Step-by-step explanation:

Answer:

  d) 27

Step-by-step explanation:

The expanded form of (a+b)³ is ...

  (a +b)³ = a³ +3a²b +3ab² +b³

When we are expanding (x +3)³, the x-term is ...

  3(x)(3²) = 27x

The coefficient of x in the expansion is 27.

Answer:

y = − 5 x − 21

Step-by-step explanation:

Use the point slope formula y − y 1 = m ( x − x 1 )   to find the parallel line.

Answer:

Please refer to the attached image for the graph of given function.

Step-by-step explanation:

Given the equation:

[tex]-x^{2} +4x+12[/tex]

Let us rewrite by letting it equal to [tex]y[/tex].

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

Now, we can see that it is a quadratic equation and it is known that a quadratic equation has a graph of parabola.

Let us compare the given equation with standard quadratic equation:

[tex]y=ax^{2} +bx+c[/tex]

we get:

[tex]a = -1\\b = 4\\c = 12[/tex]

Coefficient of [tex]x^{2}[/tex] is negative 1, so the parabola will open downwards.

Axis of symmetry: It is the line which will divide the parabola in two equal congruent halves.

Formula for axis of symmetry is:

[tex]x = -\dfrac{b}{2a}[/tex]

[tex]x = -\dfrac{4}{2(-1)}\\\Rightarrow x=2[/tex]

It is shown as dotted line in the image attached in the answer area.

Axis of symmetry will also contain the vertex of the parabola.

It is a downward parabola so vertex will be the highest point on this parabola.

Putting x = 2 in the equation of parabola:

[tex]y=-2^{2} +4\times 2+12\\\Rightarrow y =16[/tex]

So, vertex will be at P(2, 16).

Now, let us find points of parabola to sketch graph:

put x = 0, [tex]y=-0^{2} +4\times 0+12=12[/tex]

Another point is Y(0,12)

Now, let us put y = 0, it will give us two points because the equation is quadratic in x.

[tex]0=-x^{2} +4x+12\\\Rightarrow -x^{2} +6x-2x+12=0\\\Rightarrow -x(x -6)-2(x-6)=0\\\Rightarrow (-x-2)(x-6)=0\\\Rightarrow x = -2, 6[/tex]

So, other two points are X1(-2, 0) and X2(6,0).

If we plot the points P, Y, X1 and X2 we get a graph as attached in the image in answer area.

Answer:

9. A cylinder

10. A cone

Step-by-step explanation:

You sketched the shapes right

Answer:

Please look below for your answer

Step-by-step explanation:

The first is a cylinder and the second is a cone. Those are amazing drawings B.T.W. I love them

I hope I helped

Please mark me as brainliest

Answer:

C = 2πr = 2 * 3.14 * 20 = 125.6

Answer:

[tex]\huge\boxed{C\approx125.6}[/tex]

Step-by-step explanation:

The formula of a circumference of a circle:

[tex]C=d\pi=2\pi r[/tex]

d - diameter

r - radius

We have the radius r = 20.

Substitute:

[tex]C=2\pi(20)=40\pi[/tex]

use π ≈ 3.14

[tex]C\approx(40)(3.14)=125.6[/tex]

Answer:

x = 6, y = 1

Step-by-step explanation:

-5x+10y = -20

5x-4y = 26

Adding both equations

=> -5x+10y+5x-4y = -20+26

=> 10y - 4y = 6

=> 6y = 6

Dividing both sides by 6

=> y = 1

Putting y = 1 in the first equation

=> -5x+10(1) = -20

=> -5x = -20-10

=> -5x = -30

Dividing both sides by -5

=> x = 6

Answer:

Step-by-step explanation:

Using the elemination method,

-5x + 10y = - 20

5x - 4y = 26

_____________

6y = 6

divide both sides of the equation by 6

6y/6 = 6/6

y = 1 --------> equation (i)

again,

Finding the value of X,

plugging the value of y from equation (i)

-5x + 10y = -20

or, -5x + 10*1 = -20

or, -5x + 10 = -20

or, -5x = -20-10

or, -5x = -30

or, x = -30/-5

X = 6

Hope this helps....

Good luck on your assignment..

Answer:

The answer is 3 11/21

Step-by-step explanation:

Answer:

              [tex]\underlie{\bold{\ 3\frac{11}{21}\ }}[/tex]

Step-by-step explanation:

[tex]2\frac7{15}\cdot1\frac37=\frac{2\cdot15+7}{15}\cdot\frac{1\cdot7+3}{7}=\frac{37}{15}\cdot\frac{10}{7}=\frac{37}{3}\cdot\frac{2}{7}=\frac{37\cdot2}{3\cdot7}=\frac{74}{21}=\frac{3\cdot21+11}{21}=3\frac{11}{21}[/tex]

Answer:

Option (3).(Bottom left)

Step-by-step explanation:

Formula for the exponential growth is,

h(x) = [tex]a(1+\frac{r}{100} )^{t}[/tex]

where r = rate of exponential growth

a = initial amount

t = duration or time

Option (1) (Top left)

h(t) = [tex](1+0.18)^{\frac{t}{6}}[/tex]

     = [tex](1+\frac{18}{100})^t[/tex]

Rate of exponential growth will be,

r = 18%

Option (2) (Top right)

k(t) = [tex](\frac{3}{8})^t[/tex]

     = [tex](1-\frac{5}{8})^t[/tex]

     = [tex](1-0.625)^t[/tex]

     = [tex](1-\frac{62.5}{100})^t[/tex]

r = -62.5%

This function shows the exponential decay rate of 62.5%.

Option (3) (Bottom left)

f(t) = [tex]1.36^t[/tex]

    = [tex](1+0.36)^t[/tex]

    = [tex](1+\frac{36}{100})^t[/tex]

r = 36%

Option (4) (Bottom right)

g(t) = [tex]0.86^t[/tex]

     = [tex](1-0.14)^t[/tex]

     = [tex](1-\frac{14}{100})^t[/tex]

r = -14%

This function shows the decay rate of 14%.

Therefore, Option (3). (Bottom left) shows the greatest exponential growth.

i got this question too as my homework it so hard ill let you know if i find out the answer.

Answer:

m∠C  =  60°

Step-by-step explanation:

we know that sum of angles of a traingle is 18 degrees.

given

m∠A = 60°+α,

m∠B = 60°−α

we have to find  m∠C

m∠A + m∠B +  m∠C = 180

60°+α +  60° - α +m∠C = 180

+α and -α gets cancelled

120°+m∠C = 180

=> m∠C  =  180° -  120° =  60°

Thus, measure of angle c is  60°.

Answer:

To divide it into the above ratio we must first find the total parts which is

3 + 4 = 7

First part is

3/7 × 35

= 3 × 5

Second part is

4/7 × 35

= 4 × 5

Hope this helps you.