8. Is this relation a function?
{(1, 1)(2, 2)(3, 3)(4,4)}
a) Yes
b) No

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

The inputs in a function should have only one output. In other words, each x value should only be assigned to one y value.

For example, (−2, −1),(1, 0),(1, 5),(2, 0) would not be a function because x value 1 is assigned to both number 0 and number 5.

In (1, 1)(2, 2)(3, 3)(4,4), non of the X values repeat themselves, so it IS a function.


Related Questions

A box of chocolates contains five milk chocolates and six dark chocolates. Mike randomly picks a chocolate and eat it. Then Mike randomly picks another chocolate and eats it. Determine the probability Mike eats two milk chocolates. Round to the hundredths place.

Answers

Answer: 0.182

Step-by-step explanation:

For the first selection, the probability of picking a milk chocolate bar is equal to the number of milk chocolate bars divided the total number of bars, this is:

p1 = 5/(6 + 5) = 5/11

In the second selection we have the same equation, but now we have  4 milk chocolate bars (because one is alredy taken)

p2 = 4/(4 + 6) = 4/10

the joint probability is:

P = p1*p2 = (5/11)*(4/10) = 0.182

A salad recipe calls for 1 cups of chopped tomatoes. The recipe calls for 4 times as many cups of lettuce as tomatoes. How many cups of lettuce do you need for this recipe?

Answers

Answer:

You need 4 cups.

Step-by-step explanation:

If you have 1 cup of tomatoes, and you need 4 times the amount of lettuce, you multiply 1 times 4. Giving you 4 cups of lettuce.

Which sunsets of the real number does the number √42 belong

Answers

Answer:

Irrational numbers

Step-by-step explanation:

To find out which subsets of real numbers [tex]\sqrt{42}[/tex] is in, we can look at what it does not fall into.

Natural numbers- These include 1, 2, 3..., which means that [tex]\sqrt{42}[/tex] cannot be a part of it

Whole numbers - These include 0, 1, 2 ..., which means that [tex]\sqrt{42}[/tex] cannot be a part of it

Integers- These include -2, -1, 0, 1, 2..., which means that [tex]\sqrt{42}[/tex] cannot be a part of it.

Rational - These include all the previous as well as anything that can be written as a fraction, which means that [tex]\sqrt{42}[/tex] cannot be a part of it

Irrational numbers - This includes anything that continues on endlessly, which this does when converted to a decimal, which means that this is the subset of real numbers that [tex]\sqrt{42}[/tex] belongs.

PLZZ LIKE NOWW!!!!!!!!Which expression best estimates Negative 18 and one-fourth divided by 2 and two-thirds?Which expression best estimates Negative 18 and one-fourth divided by 2 and two-thirds?
18 divided by 3
Negative 18 divided by 3
Negative 18 divided by (negative 3)
18 divided by (negative 3)

Answers

Answer:

Negative 18 divided by 3

Step-by-step explanation:

-18¼ is approximately -18

Because ¼ is less than 0.5, so nearer to -18 than -19

2⅔ is approximately 3

Because ⅔ is more than 0.5, so nearer to 3 than 2

Hence,

-18 divided by 3

Answer:

B.) Negative 18 divided by 3

Step-by-step explanation:

-18 1/4 ÷ 2 2/3

-18 1/4 = -18

2 2/3 = 8/3 = 3

-18 ÷ 3 = -18/3

Find the exact value of sin 315º in simplest form with a rational denominator.

Answers

Answer: - √2

Step-by-step explanation:

A Pentagon has the exterior angles 42, 86, 3x, 4x, and x. What is x? Please hurry.

Answers

Answer:

x = 29

Step-by-step explanation:

Sum of the exterior angles of a pentagon=360 degrees
3x+4x+x+42+86=360
8x+128=360
8x=360-128
8x=232
x=29 degrees.

What times 55 would equal 200

Answers

Answer:

The answer is 3, it's the only answer closest to 200

Step-by-step explanation:

The answer would be 3.6363 because it is the closest to 200

If you had to add two fractions with denominators of 4 and 5. What might the denominator of the sum be? Show more than one possibility. Use specific fraction examples.

Answers

Answer:

9

Step-by-step explanation:

Which change can be made to correct the chart

Answers

Answer:

what chart

Step-by-step explanation:

Solve for x. (x+6)(-x+1)=0​

Answers

Answer:

x=6,1

I hope it helps :)

which equation can be used to solve for c?​

Answers

Answer:

The second option

Step-by-step explanation:

cos35=5/c

5/c=cos35/1

cos35(c)=5

c=5/cos35

Therefore, the second option.

I hope this helped and have a good rest of your day!

help meh
A timer rings every half hour for 3 1/2 hours.
Use your model to determine the number of rings.
dont make me feel like that was a waste

Answers

Answer:

7 times

Step-by-step explanation:

So since it rings every half hour, there should be 2 rings every hour, if not you are not on our planet. (60 mins in an hour, 30 mins = 1, so 60 mins =2)

So since it rings for 3 full hours, we get an initial step of 3 * 2 = 6 rings

Then there is another 1/2 ring because 3 and a 1/2 hours. So 6+1=7

hope i helped :) im not sure what you mean by model :(

john wants to buy a new phone for 1200. the sales tax is 8.875%. what is the total price?

Answers

Answer:

$1306.50

Step-by-step explanation:

1200(1 + tax) = total price -->

1200(1.08875) = total price -->

1306.5 = total price

Grant is replacing his aquarium. His old aquarium was in the shape of rectangular prism with a volume of 5,184 cubic inches.

The new aquarium is also a rectangular prism with a length, width, and height that are each 5/8 times as long as the corresponding dimension of his old aquarium. Grant concludes the two aquariums are geometrically similar figures. Which statement is true?

A. The two aquariums are similar, and the volume of the new aquarium is 3,000 cubic inches.
B. The two aquariums are similar, and the volume of the new aquarium is 4,320 cubic inches.
C. The two aquariums are not similar, and the volume of the new aquarium is 3,000 cubic inches.
D. The two aquariums are not similar, and the volume of the new aquarium is 4,320 cubic inches.

Answers

Answer:

The answer is B

Step-by-step explanation:

A gazebo is located in the center of a large, circular lawn with a diameter of 200 feet. Straight paths extend from the gazebo to a sidewalk around the lawn. If two of the paths form a 75° angle, how far would you have to travel around the sidewalk to get from one path to the other? Round your answer to the nearest foot if necessary.
a. 183 ft
b. 262 ft
c. 131 ft
d. 3,125 ft​

Answers

Answer: The answer is 131 ft.

Step-by-step explanation:

The gazebo staying in the centre of the circular lawn forms an sector with the two paths that are 75 degrees to each other. The formula for length of an arc of a sector which is the distance between the two paths is \frac{angle}{360} * 2\pi * radius\\radius = \frac{diameter}{2} = \frac{200}{2} = 100 ft\\ angle = 75 degrees.\\

Inserting these we have \frac{75}{360} * 2\pi * 100 = 130.8996 = 131 ft.

Hope it helps you !!

~Adrianna

A ladder leans against the side of a house. The angle of elevation of the ladder is 67 degrees when the bottom of the ladder is 14 ft from the side of the house. Find the length of the ladder.

Answers

Answer:

32.98 ft

Step-by-step explanation:

What you have right there is a triangle.

The base of the triangle is given (14 ft)

The angle from the ladder makes while leaning on the house is 67 degrees.

This is a simple trigonometry problem

You want to find the length of the ladder and you don't have the hypotenuse

So you can use the function tan to find it.

tan(Ф) = opposite/adjacent

You are looking for the opposite side length

So you do tan(Ф) * adjacent = opposite

tan(67) * 14 = 32.98 ft

Can someone help me!!!

Answers

Its -1, 3 because i negative


Find the mean, median, mode, and range of the data set.
23, 31, 26, 27, 25, 28, 23, 23, 25, 29, 29, 29, 25, 22, 30, 23

Answers

Mode: 23

Range: 9

Median: 25.5

Mean: 25.5625

Which point on the number line best represents
V10?
3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.0
tohoto
E F G H
F
G
E
H​

Answers

Answer: The answer is F

Step-by-step explanation:

The All-Clean Laundry Company washes towels for a nearby hotel. The function f(x) gives the number of loads required whenthere are x bins of towels to be washed. What does f(9) > 12 tell you?

Answers

Answer:

B. It takes more than 12 loads to wash 9 bins of towels.

Step-by-step explanation:

The function f(x) gives the number of loads

Where x= bins of towels

If f(9) > 12

Number of bins of towels =9; andNumber of Loads, f(x)>12

Therefore, f(9) > 12 tells us that it takes more than 12 loads to wash 9 bins of towels.

The correct option is B.

Find the surface area of the prism.

Answers

Answer:

920 ft^2

Step-by-step explanation:

area of triangles: base x height / 2 (2)

8 x 15 / 2

= 60 x 2

= 120

area of rectangular base: length x width

15 x 20 = 300

area of sloped rectangle: length x width

17 x 20 = 340

area of rectangle: length x width

8 x 20 = 160

Total: 120 + 300 + 340 + 160

=920 ft^2

Answer:

920 ft²

Step-by-step explanation:

2 triangles + 3 rectangles

2(½×15×8) + 20(17+8+15)

120 + 800

920

HELP PLEASE
If anyone can help I’m panicking

Answers

Answer:

8.5

Step-by-step explanation:

Because it have more pumpkins

Answer:

thatvis gizmo he says hi. .. :/ srry

4688-3) -30X-5 CX-5)

Answers

Answer:

x = 13/3

Step-by-step explanation:

4(8x-3) - 30x = 5(x-5)

Distribute

32x - 12 - 30x  = 5x -25

Combine like terms

2x -12 = 5x-25

Subtract 2x from each side

2x-12-2x = 5x-2x -25

-12 = 3x-25

Add 25 to each side

-12+25 = 3x-25+25

13 = 3x

Divide each side by 3

13/3 = x

Answer:

x ≈ 4.3

Step-by-step explanation:

Distribute the 4 to (8x - 3) and the 5 to (x - 5), like so:

4(8x - 3) - 30x = 5(x - 5)

32x - 12 - 30x = 5x - 25

Add like terms (32x and -30x), like so:

32x - 30x = 2x

2x - 12 = 5x - 25

Subtract 2x from both sides:

2x - 12 = 5x - 25

-2x         -2x

____________

-12 = 3x - 25

Add 25 to both sides:

-12 = 3x - 25

+ 25       + 25

____________

13 = 3x

Divide both sides by 3:

4.3 ≈ x

0.7(1.5+ y) = 3.5y - 1.47
Solve

Answers

Answer:

y = .9

Step-by-step explanation:

0.7(1.5+ y) = 3.5y - 1.47

Distribute

1.05 +.7y = 3.5y -1.47

Subtract .7y from each side

1.05 +.7y.-.7y = 3.5y-.7y -1.47

1.05 =2.8y -1.47

Add 1.47 to each side

1.05+1.47 = 2.8y

2.52 = 2.8y

Divide by 2.8

2.52/2.8 = y

.9 = y

Answer:

y = 0.9

C, the third one

Step-by-step explanation:

Examine this multistep equation with variables on both sides.

0.7(1.5 + y) = 3.5y - 1.47

Which of the following is the solution to this equation?

y = 0.09

y = 0.17

y = 0.9

y = 1.7

Mr.Jones bought a box of 144 chocolate bars for $72.00 for his convenience store. He marks the price up by 50% . What is the price of one chocolate bar?

Answers

Answer:

A box of 144 chocolate bars for 72 dollar.

Then each chocolate bar costs: 144/72 = 2 dollar

=> Price up to 50%: P = 2 x (1 + 50/100) = 2 x 3/2 = 3 dollar

Hope this helps!

:)

Is Y=5x+2 in slope intercept form?

Answers

Answer: yes, the equation [tex]y = 5x +2[/tex] is a slope-intercept form.

Step-by-step explanation:

-The equation of a slope-intercept form:

[tex]y = mx + b[/tex]  (where [tex]m[/tex] represents the slope, and [tex]b[/tex] represents the y-intercept).

Yes the slope is is 5 and the y intercept is 2

Meryl needs to cut down 10.5 trees for every 5 cabins she builds. how many trees would she need to build 7 cabins​

Answers

Answer:

14.7 Trees

Step-by-step explanation:

We solve this using a proportion.

[tex]\frac{10.5}{5} = \frac{x}{7}[/tex]

10.5 x 7 = 73.5

5x = 73.5

x = 14.7

Now let's check the proportion.

[tex]\frac{10.5}{5} = \frac{14.7}{7}[/tex]

10.5 x 7 = 73.5

14.7 x 5 = 73.5

73.5 = 73.5 ✅

I'm always happy to help :)

plz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

I think the answer is C.

First start by factoring, you should get (2n-3)(n-2)=0

Then start to solve for n.

2n-3=0

n-2=0

n=2, n= 3/2

I hope that helps.

which symbol correctly compares the two measurementsone pound 16 oz ​

Answers

Answer:

the = symbol

Step-by-step explanation:

there are 16 oz in a pound

Answer:

This symbol:    :

Step-by-step explanation:

The ratio symbol or a colon, :

pound : ounces

    1      :     16

what are the factors of 36x⁸-49?​

Answers

Answer:

(6x^4+7)(6x^4-7)

Step-by-step explan  

Answer:

The common factor is 1

(6x^4+7) (6x^4-7)

Step-by-step explanation:

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