Is the relation a function (14,15),(5,7),(3,10),(11,1),(5,8)

Answers

Answer 1
Answer: A set of ordered pairs is called a \textit{relation}:

{(14,15),(5,7),(3,10),(11,1),(5,8)}  is a relation.

The pairs are called "ordered" because the order is important, for example:
 (3, 4)  and (4, 3) are 2 different things. In the first pair 3 is the \textit{first coordinate}, but in the second one 3 is \textit{second coordinate}



A relation is a \textit{function} if no 2 first coordinates of the points are equal.

In the given relation, the first coordinates of points (5,7) and (5,8) are equal, so the relation is not a function.

Answer: No
Answer 2
Answer:

Answer:

no

Step-by-step explanation:


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What is the surface area of a sphere with a radius of 14 units?

Answers

Answer:

SA =784 pi units ^2

Step-by-step explanation:

The surface area of a sphere is given by

SA = 4 pi r^2

The radius is 14

SA = 4 pi (14)^2

SA =784 pi units ^2

Answer:

Surface area= 784π units²

Step-by-step explanation:

Surface area= 4×π×r²

Surface area= 4×π×(16)²

Surface area= 4×(16)²×π

Surface area= 784π units ²

Ms. Luna is waterproofing the top of a rectangular wood deck. The width of the deck is 3 m less that the length. The length is 8m. What is the area to be waterproofed?

Answers

If the width of the deck is 3 m less that the length. The length is 8m. then the area to be waterproofed is 40 m²

What is Rectangle?

A rectangle is a quadrilateral with four right angles

The area of Rectangle is length times of width.

Given that Ms. Luna is waterproofing the top of a rectangular wood deck.

The width of the deck is 3 m less that the length.

Width=Length-3

Length=8

Area of rectangle=Length×Width

=Length×(Length-3)

=8×(8-3)

=8×5

=40 m²

Hence, If the width of the deck is 3 m less that the length. The length is 8m. then the area to be waterproofed is 40 m²

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Answer:

40 m

Step-by-step explanation:

First we have to find the width. the width is 3 less than the length, which is 8... so the width is 5. Area is found by multiplyign length times width to get 40 m.

indira predicts that the actual difference of 19-7.82 will be greater than the estamate of19-8 =11. is indira correct? explain how indira might have arrived at that prediction without subtracting the actual numbers.

Answers

7.82 is a little less than 8 (it rounds to 8). 

Therefore 19 - 7.82 will be a little more than 11

To be more accurate .82 is .18 away from 1

Therefore the exact answer would be 8.18

A bracelet that regularly sells for $44 is on sale for 25% off. Find the sale price of the bracelet?

Answers

Regular price : $44

Discount : 25%

So, discount amount : 25% of 44
= 25/100 × 44
= $11

So, amount after applying discount = $44 - $11 = $33

Final answer:

To calculate the sale price of the bracelet, you subtract the discount (25% of $44) from the original price ($44), resulting in a sale price of $33.

Explanation:

The sale price of a bracelet can be calculated by subtracting the discount from the original price. Since the discount is 25% off, calculate 25% of $44, which amounts to $11. Subtract this from the original price of $44. Therefore, $44 - $11 = $33. Hence, the sale price of the bracelet is $33.

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I need to know what rule represents the enlargement of a figure

Answers

Answer:

The correct option is;

(x, y) → (215·x, 215·y)

Step-by-step explanation:

An enlargement is a form of transformation involving an alteration of the size of the shape. When a shape is to be enlarged, the center of the shape is noted and the enlargement of the dimensions of the shape from that center is by multiplication of each point by the factor of the enlargement or the scale factor.

Therefore, based on the requirement for enlargement, and given the dimension of the point from the center as (x, y) the enlargement then is (215·x, 215·y), where 215 is the scale factor.

Answer:

A. (x, y) → (215x, 215y)

Step-by-step explanation:

Enlargement of a figure is the process of increasing the size of a given figure by the use of a scale. It requires the use of a scale factor that is greater than 1 to form an image. This is called dilation in transformation.

Transformation is the process of manipulating the size or orientation of a figure. To enlarge a shape, a center of enlargement is required.

Thus, the rule that signifies enlargement of a figure is ;

(x, y) → (215x, 215y)

This implies multiplying the initial coordinate x and y by a factor of 215 to produce a required size of an image.

Caroline has $2.55 in her purse and nickels and dimes. the number of nickels is nine less than three times the number of dimes. find the number of each type of coin.

Answers

An equation is formed when two equal expressions. The number of dimes and nickels in Caroline's purse is 12 and 27, respectively.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of dimes in Caroline's purse be represented by x, while the number of nickels is represented by y.

Given that the number of nickels is nine less than three times the number of dimes. Therefore, we can write,

y = 3x - 9

Also, Caroline has a total of $2.55 in her purse. Therefore, we can write,

0.10x + 0.05y = 2.55

Substitute the value of y from the above equation,

0.10x + 0.05(3x - 9) = 2.55

0.10x + 0.15x - 0.45 = 2.55

0.25x = 2.55 + 0.45

0.25x = 3

x = 3/0.25

x = 12

Substitute the value of x in the equation of y,

y = 3x - 9

y = 3(12) - 9

y = 36 - 9

y = 27

Hence, the number of dimes and nickels in Caroline's purse is 12 and 27, respectively.

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.05N+.1d=2.55
N=3d-9
0.05(3d-9)+0.1d=2.55
0.15d-0.45+0.1d=2.55
0.25d=2.55+0.45
0.25d=3
D=12
N=3(12)-9
N=36-9
N=27
Hope this helps