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2 years ago

a relation is a set of ordered pairs where the first element is called the ranged while the second element is the domain

Mathematics

1 answer:

tresset_1 [31]2 years ago

4 0

Answer:

False.

Step-by-step explanation:

We have the statement:

"a relation is a set of ordered pairs where the first element is called the ranged while the second element is the domain"

A relation between two sets maps the elements of the first set into elements of the second set, creating an ordered pair.

So we can have a relation that maps elements X, into elements Y, and the ordered pairs will be (X, Y)

Where the set of the elements X is called the domain, and the set of elements Y is called the range.

Then the statement is false.

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If you stacked Avogadro's number of pennies one on top of the other on Earth's surface, how far would the stack extend (in kilom

miskamm [114]

Answer:my

The height of the stack will be 9.15×10^20_m

Or 9.15×10^17_Km

Which is 6 billion times more more than the distance to the sun

Or 22.9 million times further than the star Proxima Centauri

Step-by-step explanation:

Given

Avogadro's number = 6.02×10^23 particles

And the thickness of a penny = 1.52_mm

The height of the stack will be

1.52 × 6.02 ×10^23 = 9.15×10^23_mm 9.15×10^20_m

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3 years ago

PLSS HELP ME ITS TIMED ILL MARK BRAINLIEST

Fed [463]

Answer:

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Step-by-step explanation:

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2 years ago

A city council consists of seven Democrats and five Republicans. If a committee of four people is selected, find the probability

Hoochie [10]

Answer:

The probability of selecting two Democrats and two Republicans is 0.4242.

Step-by-step explanation:

The information provided is as follows:

A city council consists of seven Democrats and five Republicans.
A committee of four people is selected.

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

${n\choose k}=\frac{n!}{k!\times (n-k)!}$

Compute the number of ways to select four people as follows:

${12\choose 4}=\frac{12!}{4!\times (12-4)!}=495$

Compute the number of ways to selected two Democrats as follows:

${7\choose 2}=\frac{7!}{2!\times (7-2)!}=21$

Compute the number of ways to selected two Republicans as follows:

${5\choose 2}=\frac{5!}{2!\times (5-2)!}=10$

Then the probability of selecting two Democrats and two Republicans as follows:

$P(\text{2 Democrats and 2 Republicans})=\frac{21\times 10}{495}=0.4242$

Thus, the probability of selecting two Democrats and two Republicans is 0.4242.

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2 years ago

What is <br> f(x)= (x-12)(x+1)<br> in standard form?

valentina_108 [34]

Answer:

x^2-11x-12

Step-by-step explanation:

I use the box method, which makes a 2x2 box. Then you arrange you numbers based on the equation (show in image)

Then you multiply it out and get the equation

F(x)= x^2+x-12x-12

Simplify your equation and you get

F(x)= x^2-11x-12

6 0

2 years ago

Problem PageQuestion Working together, two pumps can drain a certain pool in hours. If it takes the older pump hours to drain th

gizmo_the_mogwai [7]

Answer:

10.5 hours.

Step-by-step explanation:

Please consider the complete question.

Working together, two pumps can drain a certain pool in 6 hours. If it takes the older pump 14 hours to drain the pool by itself, how long will it take the newer pump to drain the pool on its own?

Let t represent time taken by newer pump in hours to drain the pool on its own.

So part of pool drained by newer pump in one hour would be $\frac{1}{t}$ .

We have been given that it takes the older pump 14 hours to drain the pool by itself, so part of pool drained by older pump in one hour would be $\frac{1}{14}$ .

Part of pool drained by both pumps working together in one hour would be $\frac{1}{6}$ .

Now, we will equate the sum of part of pool emptied by both pumps with $\frac{1}{6}$ and solve for t as:

$\frac{1}{14}+\frac{1}{t}=\frac{1}{6}$

$\frac{1}{14}\times 42t+\frac{1}{t}\times 42t=\frac{1}{6}\times 42t$

$3t+42=7t$

$7t=3t+42$

$7t-3t=3t-3t+42$

$4t=42$

$\frac{4t}{4}=\frac{42}{4}$

$t=10.5$

Therefore, it will take 10.5 hours for the newer pump to drain the pool on its own.

6 0

2 years ago

a relation is a set of ordered pairs where the first element is called the ranged while the second element is the domain​

a relation is a set of ordered pairs where the first element is called the ranged while the second element is the domain