Only question b

b) Write down the output y in terms of x

Input = x > +7 > x5 > Output = y

Due to the fact that element 1 relates to two distinct images, namely 3 and 5. The relationship hence is not a function.

Therefore,

(i) {(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)

Every input has a single output, proving that it is a function.

The elements in the domain of the provided relation are therefore 2,5,8,11,14, and 17.

Here, domain is equal to two and range is one.

(ii) (2,1),(4,2),(6,3),(8,4),(10,5)(12,6),(14,7)

Every input has a single output, proving that it is a function.

Therefore, 2, 4, 6, 8, 10, 12, and 14 make up the domain of the provided relation.

Here, range is 1,2,3,4,5,6,7 and domain is 2,4,6,8,10,12,14.

(iii) (1,3),(1,5),(2,5)

Due to the fact that element 1 relates to two distinct images, namely 3 and 5. The relationship hence is not a function.

The complete question is:

Which of the following relations are functions? Give reasons.

If it is a function determine its domain and range

(i) (2,1),(5,1),(8,1),(11,1),(14,1),(17,1)

(ii) {(2,1),(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)

(iii) {(1,3),(1,5),(2,5)

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Answer:

18. 2,047.5 yd³

19. 3204 in.²

Step-by-step explanation:

18. Volume of triangular prism = triangular base area × height of prism

Height of prism = 21 yd

Triangular base area = ½*b*h

b = 15 yd

h = √(15² - 7.5²) = √168.75 ≈ 13 yd

Triangular base area = ½*15*13 = 97.5 yd²

Plug in the values into the formula of the volume of prism

Volume of prism = 97.5 × 21

= 2,047.5 yd³

19. Surface area = 2πrh + 2πr²

Where,

r = 15 in.

h = 19 in.

Plug in the values

Surface area = 2*π*15*19 + 2*π*15²

Surface area = 3204.42 ≈ 3204 in.² (nearest whole number)

Answer:

72

Step-by-step explanation:

you multiply length x width x height and you get your answer

Given ,

To Find : The Circumference of a circle

Radius can be the determined by the formula

[tex]r = \frac{d}{2} \\r = \frac{18}{2} \\r = 9yd[/tex]

Now we can apply the formula of the circumference of a circle which is,

[tex]Circumference = 2\pi r[/tex]

[tex]Circumference = 2X3.14X9[/tex]

[tex]Circumference = 56.52[/tex]

Hence , the Circumference of a circle is 56.52yd

Answer:

The formula for finding Slope Intercept Form is y = mx + b.

Step-by-step explanation:

Y - Y coordinate

M - Slope

X - X coordinate

B - Y Intercept

This formula is used for finding the equation of a line.

Answer:

----------------------------------

Find the legs first:

Find the hypotenuse using Pythagorean:

Find the perimeter:

Correct choice is A.

Answer:

A)  24 units

Step-by-step explanation:

The perimeter of a triangle is the sum of its side lengths.

From inspection of the given right triangle:

As the given triangle is a right triangle, we can use Pythagoras Theorem to calculate the length of the hypotenuse:

[tex]\implies c^2=a^2+b^2[/tex]

[tex]\implies c^2=8^2+6^2[/tex]

[tex]\implies c^2=64+36[/tex]

[tex]\implies c^2=100[/tex]

[tex]\implies c=\sqrt{100}[/tex]

[tex]\implies c=10[/tex]

Therefore, the perimeter of the given triangle is:

[tex]\implies 8+6+10=24 \; \rm units[/tex]

Answer:

area of square =length × length ×height

=6×6×8

=288

Answer:

Make sure to keep track of the signs of the variables. If you add or subtract a variable on one side of the equation, you must do the same to the other side.

Don't forget to distribute if you have a variable inside parentheses. For example, if you have 3x + 2(x + 4) = 7, you would need to distribute the 2 to get 3x + 2x + 8 = 7.

When solving for a variable, make sure to perform the same operation on both sides of the equation to isolate the variable. For example, if you want to solve for x in the equation 3x + 2 = 7, you would need to subtract 2 from both sides to get 3x = 5.

Answer:

Point Form:

(0,2)

Equation Form:

x=0,y=2

Step-by-step explanation:

Therefore, the solution of given problem of percentage  indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.

A% is a number that expresses a quantity as a percentage of 100; it can also be expressed as a decimal or a fraction. Placing 100 in the denominator and the percentage value in the numerator will allow you to convert a percentage to a fraction.

Here,

Before any changes,

let w represent the size of the workforce. There are:

50 percent growth is equivalent to increasing by 1.5, therefore w(2000) = w(1999) * 1.5

A 50% drop is equal to dividing by 1.5, therefore w(2001) = w(2000)/1.5

Reverse the first equation to create the second equation.

w(2001) = w(1999) * 1.5/1.5

Remove the 1.5 from the top and bottom so that w(2001) = w (1999)

Therefore, this indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.

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Answer:

Part A

Which is the ordered pair for Point B?

A. (2, 8)

 B. (6, 8)

 C. (6, 6)

 D. (8, 6)

Part B

Which point is at (8, 2)?

A. A

 B. B

 C. C

 D. None of these

Part C

What are the coordinates of point A?

Enter your answer in the boxes.

(

2

,

8

)

Part D

What are the coordinates of the fourth vertex of the rectangle?

Enter your answer in the boxes.

(

0

,

0

)Step-by-step explanation:

Answer:

B. B is 0.535; It is a decay factor.

Step-by-step explanation:

I calculated it logically

Answer:

B. b is 0.535; It is a decay factor.

9514 1404 393

Answer:

  13

Step-by-step explanation:

  -2(t +7) = -4t +12

  t +7 = 2t -6 . . . . . . . divide by -2

  13 = t . . . . . . . . . . . . add 6-t

Answer:

a) (0,-2)

b) [tex]\frac{1-(-2)}{3-0}[/tex]= 1

c) -3  or 9

Step-by-step explanation:

Answer:

3.5 hours to read

Step-by-step explanation:

Before the trip, Tyler read 24 pages of his Philadelphia guidebook in an hour. The guidebook is 84 pages long. If he continued to read it at the same rate, how long did it take Tyler to finish reading the guidebook before his family's trip?

total pages / reading rate per hour

Equation: 84/24

Solution:  = 3.5 hours

According to the information, Jonas realized that the four-digit sequence showing the distance traveled was the same sequence showing the time at 22h10min (question 25). Also, Lady Josephine removed 1/2 of impurities of the package of beans (question 26).

To calculate at what time Jonas realized the sequences of distance and time were the same we have to perform the following mathematics operation:

To calculate what fraction of the total amount of impurities was removed from package we have to perform the following mathematical operation:

According to the above, we can infer that 4% of impurities equals 50% or 1/2 of the total impurities in the package.

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Answer:

The one with the vertex of (-4,4)

Step-by-step explanation:

Answer:

96oz = 6 pounds

Step-by-step explanation:

96 divided by 16 = 6 pounds

Assuming there are 16 ounces in 1 pound,  if he want to know the weight of the package. The weight of the package in pounds is 6 pounds.

Using this formula

Weight in pounds=Weight /Ounces in 1 pound

Where:

Weight=96 ounces

Ounces in 1 pound=16 ounces

Let plug in the formula

Weight in pounds=96 ounces/16 ounces

Weight in pounds=6 pounds

Inconclusion the weight of the package in pounds is 6 pounds.

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Answer:

200

Step-by-step explanation:

[tex]\frac{2}{5}[/tex] = [tex]\frac{80}{x}[/tex]

2 x 40 = 80, so

5 x 40 = 200

Answer:

200 houses

Step-by-step explanation:

Flat: 2 parts = 80 flats
1 part => 80 : 2 = 40 flats
Houses: 5 parts = 40 x 5 = 200 houses

Answer:

The estimated total cost for 20 spinners is $3.2.

Step-by-step explanation:

To find out how much Braulio would pay for 20 spinners, we can first calculate the unit rate (price per spinner), and then use that to estimate the total cost of 20 spinners.

The unit rate is the price of a single item (spinner in this case) divided by the number of items. In this case, the unit rate is:

$5.44 / 34 spinners = $0.16 (approximately)

We can now use this unit rate to estimate the total cost of 20 spinners by multiplying it by the number of spinners:

20 spinners * $0.16/spinner = $3.2

So the estimated total cost for 20 spinners is $3.2.

In this process, we first found out the unit rate i.e how much one spinner costs, which is $0.16. We then multiplied the unit rate with the number of spinners we wanted to buy. By doing this, we were able to estimate the total cost of buying 20 spinners. It's important to note that this is an estimate, as the actual cost may be slightly different due to rounding or other factors. However, the unit rate method provides a useful way to quickly estimate the cost of a purchase when the unit price and quantity are known.

Answer:

rate of change = [tex]\frac{3}{4}[/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{3}{4}[/tex] x - 2 ← is in slope- intercept form

with slope m = [tex]\frac{3}{4}[/tex]

the slope is a measure of the rate of change , then

rate of change = [tex]\frac{3}{4}[/tex]

Answer:

27 and 16

27 + 16 = 43

And the difference between them ( 27-16) = 11

Step-by-step explanation:

Answer:

its C. 0.05 #edmentumgang

Step-by-step explanation:

Answer:

Option C is the correct anwer for plato

Step-by-step explanation:

C.  0.05

The expression which could be used to determine the product of -4 and 3 and one-fourth as required is; negative 4) (3) + (negative 4) (one-fourth).

As evident in the task content; the expression which could be used to determine the product of; -4 and 3 and one-fourth is required to be determined.

Since the given expression is; -4 and 3 and one-fourth; we have that;

-4 × 3 ¼

However, since 3 ¼ can be written as; ( 3 + ¼ ), it follows that we have;

-4 × ( 3 + ¼ )

Ultimately, the resulting expression using the distributive property is;

( -4 ) ( 3 ) + ( -4 ) ( ¼ )

Therefore, the correct answer is; (negative 4) (3) + (negative 4) (one-fourth).

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Here's link[tex]^{}[/tex] to the answer:

bit.[tex]^{}[/tex]ly/3gVQKw3

Answer:

Step-by-step explanation:

[tex](13x - 3) + (6x + 1) + (68) = 180 \\ 19x + 66 = 180 \\ 19x = 180 - 66 \\ x = \frac{114}{19} \\ x = 6 \\ \\ \\ d = 13x - 3 \\ d = 13(6) - 3 \\ d = 75 \\ \\ e = 6x + 1 \\ e = 6(6) + 1 \\ e = 37 \\ \\ f = 68 \\ \\ check \: \: \: 75 + 37 + 68 = 180[/tex]

I hope that is useful for you :)