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3 years ago

Which set of ordered pairs represents a function?

Mathematics

1 answer:

Papessa [141]3 years ago

8 0

Answer:

{(3,6),(2,1),(-8,4),(2,0)}

Step-by-step explanation:

when determining if a set of points is a function

determine if any of the x values or y values repeat. if they do then it is not a function because it will not pass the function like test. (which is where you can draw a line trough the function and it will hit more than once.

none if the x values repeat and none if the y values do either.

x values : 3,2,-8,2

y values: 6,1,4,0

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What is the 8th term in the sequence? 1, 2, 4, 7

MAVERICK [17]

Answer: 29

explanation: you add 1 to get 2, you then add 2 to get 4, then 3 to get to 7, then 4 to get to 11, then 5 to get to 16, then 6 to get to 22, then 7 to get to 29

8 0

3 years ago

at a party at the middle school over on third avenue next to the bank, $60\%$ of the students are seventh graders. these student

Vaselesa [24]

There are 600 students including the seventh and eighth graders at the party.

This problem uses the concept of percentages to define the conditions that are laid in front of us.

Let the original number of students be S , and the number of seventh graders be = 0.60S

We know that percent is used to convey the mathematical term of a fraction multiplied by 100.

Total students after 20 eighth graders arrive = S + 20

And we have that

Number of seventh graders / total number of students = 58%

.60S / [ S + 20 ] = .58 we multiply both sides by S + 20

0.60S =0 .58 [ S + 20]

.60S = .58S + 11.6 we subtract 0.58S from both the sides

0.02S = 11.6 we divide both the sides by .02

S = 11/6 / 0.02 = 580

So the total number of students = 580 + 20 = 600 .

Hence there are 600 students at the party at that time.

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5 0

1 year ago

Noelia has 144 role-playing cards. She and

scZoUnD [109]

Noelia has 216 cards after buying part of the set with her friends.

<h3>What is addition?</h3>

Combining items and counting them as a single, large group is done through addition.

Given that, Noelia has 144 role-playing cards.

Now, she bought 72 cards more, therefore, the number of cards Noelia has is:

144 + 72

= 216

Hence, Noelia has 216 cards after buying part of the set with her friends.

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7 0

1 year ago

Read 2 more answers

A right circular cylinder is inscribed in a sphere with diameter 4cm as shown. If the cylinder is open at both ends, find the la

SOVA2 [1]

Answer:

$8\pi\text{ square cm}$

Step-by-step explanation:

Since, we know that,

The surface area of a cylinder having both ends in both sides,

$S=2\pi rh$

Where,

r = radius,

h = height,

Given,

Diameter of the sphere = 4 cm,

So, by using Pythagoras theorem,

$4^2 = (2r)^2 + h^2$ ( see in the below diagram ),

$16 = 4r^2 + h^2$

$16 - 4r^2 = h^2$

$\implies h=\sqrt{16-4r^2}$

Thus, the surface area of the cylinder,

$S=2\pi r(\sqrt{16-4r^2})$

Differentiating with respect to r,

$\frac{dS}{dr}=2\pi(r\times \frac{1}{2\sqrt{16-4r^2}}\times -8r + \sqrt{16-4r^2})$

$=2\pi(\frac{-4r^2+16-4r^2}{\sqrt{16-4r^2}})$

$=2\pi(\frac{-8r^2+16}{\sqrt{16-4r^2}})$

Again differentiating with respect to r,

$\frac{d^2S}{dt^2}=2\pi(\frac{\sqrt{16-4r^2}\times -16r + (-8r^2+16)\times \frac{1}{2\sqrt{16-4r^2}}\times -8r}{16-4r^2})$

For maximum or minimum,

$\frac{dS}{dt}=0$

$2\pi(\frac{-8r^2+16}{\sqrt{16-4r^2}})=0$

$-8r^2 + 16 = 0$

$8r^2 = 16$

$r^2 = 2$

$\implies r = \sqrt{2}$

Since, for r = √2,

$\frac{d^2S}{dt^2}=negative$

Hence, the surface area is maximum if r = √2,

And, maximum surface area,

$S = 2\pi (\sqrt{2})(\sqrt{16-8})$

$=2\pi (\sqrt{2})(\sqrt{8})$

$=2\pi \sqrt{16}$

$=8\pi\text{ square cm}$

4 0

3 years ago

3 is added to five times number, and the result is multiplied by 4. the final result is 72. what is the number

Dima020 [189]

Answer:

The number is 3

Step-by-step explanation:

Hi,

4 ( 3 + 5x) = 72

12 + 20x = 72

20x = 60

x = 3

Hope this helps :)

7 0

2 years ago

Read 2 more answers