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2 years ago

HELLO EVERYONE

Mathematics

1 answer:

ivolga24 [154]2 years ago

8 0

Answer: The volume of this cylinder is 2389.18 cubic cm, and the surface area is 1000.6 square cm.

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What is the domain and range of the relation shown in

Leya [2.2K]

Answer:

Domain : {10, 15, 19, 32}

Range: {-1, 5, 9}

Step-by-step explanation:

As the table of the relation is given as follows:

X Y

10 5

15 9

19 -1

32 5

From this table, we can define the relation by combining the ordered pairs from the table. Each and every order pair consists of x-coordinate and corresponding y-coordinate of any corresponding point.

So, the relation from the table can be made as follows:

relation : {(10, 5), (15, 9), (19, -1), (32, 5)}

Domain of a relation consists of all the x-coordinates (first elements) of order pairs.

Range of a relation consists of all the y-coordinates (second elements) of ordered pairs.

So, domain and range of relation will be as follows:

Domain : {10, 15, 19, 32}

Range: {-1, 5, 9}

Note: If there is any duplicate element in any x or y-coordinate of any ordered pair, it will be written only once when we determine domain and range. Here, in this example, 5 is duplicate, so, it will be mentioned only one time when we determine the range of this relation.

Keywords: domain, relation, range

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6 0

3 years ago

The amount Lin's sister earns at her part-time job is proportional to the number

gulaghasi [49]

Answer:

$y = 9.6x$

Yes, y is a function of x.

$x = \frac{5}{48} y$

Step-by-step explanation:

For a proportional relation, the equation is given by:

$y = kx$

where k is the unit rate of change.

We were told that, Lin's sister earns $9.6 per hour.

This means k=9.6.

We substitute to get:

$y = 9.6x$

We could rewrite this as

$y(x) = 9.6x$

Yes, y is a function of x.

To obtain an equation describing x as a function of y, we solve for x to get:

$x = \frac{1}{9.6} y$

6 0

3 years ago

Directions for making a quilt say tkbcut fifteen squares with side that are 3.625 inches long what. Is side length written as a

posledela

3.625 = 29/8 as a fraction. Is that what you're asking?

6 0

3 years ago

Solve the equation and graph the solution(s), if possible. 9|4p + 2| + 8 = 35

Cerrena [4.2K]

Solving an equation means finding a value of a variable that make the equation true. This value is called the solution of the equation. A mathematical equation is just like a balanced equation. Both sides of the equation should be equal at all times. Whatever we do to one side, has to be done on the opposite side.

$9|4p + 2| + 8 = 35$

$
9|4p+2|=35-8
 
$ $Subtract \ 8 \ from \ both \ sides$

$9|4p+2|=27

 
$

$|4p+2|= \dfrac{27}{9}$ $Divide \ both \ sides \ by \ 9$

$|4p+2|=3$

$Break \ down \ the \ problem \ into \ these \ 2 \ equations$

$
4p+2=3
 
$

$-(4p+2)=3$

$Solve \ the \ 1st \ equation: \ 4p+2=3$

$4p=3-2$ $Subtract \ 2 \ from \ both \ sides$

$4p=1$

$p= \dfrac{1}{4}$ $Divide \ both \ sides \ by \ 4$

$Solve \ the \ 2nd \ equation: \ -(4p+2)=3$

$-4p−2=3$ $Simplify \ brackets$

$-4p=3+2$ $Add \ 2 \ to \ both \ sides$

$-4p=5$

$p= -\dfrac{5}{4}$

$Collect \ all \ solutions$

$p= -\dfrac{5}{4}$ , $p= \dfrac{1}{4}$

8 0

3 years ago

a touchdown in football counts for 6 points if n stands for the number of touchdowns, which equation represents how many points

irga5000 [103]

Answer:

Step-by-step explanation:

7 0

3 years ago