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3 years ago

Is the following relation a function

Mathematics

1 answer:

nika2105 [10]3 years ago

6 0

Yes ... hope it helps

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35 brownies were brought to class by Lauren

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3 years ago

Otis constructed a rectangle with a compass and straightedge.

trapecia [35]

B. square
C. Draw arcs on the circle with the compass set at r units.

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3 years ago

A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence

belka [17]

There are several ways the door can be locked, these ways illustrate combination.

There are 3375 possible combinations

From the question, we have:

$\mathbf{n = 5}$ --- the number of digits

$\mathbf{r = 3}$ ---- the number of actions

Each of the three actions can either be:

Pressing one button
Pressing a pair of buttons

The number of ways of pressing a button is:

$\mathbf{n_1 = ^5C_1}$

Apply combination formula

$\mathbf{n_1 = \frac{5!}{(5-1)!1!}}$

$\mathbf{n_1 = \frac{5!}{4!1!}}$

$\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}$

$\mathbf{n_1 = 5}$

The number of ways of pressing a pair is:

$\mathbf{n_2 = ^5C_2}$

Apply combination formula

$\mathbf{n_2 = \frac{5!}{(5-2)!2!}}$

$\mathbf{n_2 = \frac{5!}{3!2!}}$

$\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}$

$\mathbf{n_2 = 10}$

So, the number of ways of performing one action is:

$\mathbf{n =n_1 + n_2}$

$\mathbf{n =5 + 10}$

$\mathbf{n =15}$

For the three actions, the number of ways is:

$\mathbf{Action = n^3}$

$\mathbf{Action = 15^3}$

$\mathbf{Action = 3375}$

Hence, there are 3375 possible combinations

Read more about permutation and combination at:

brainly.com/question/4546043

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2 years ago

250 of a number is 60. Find the number

Readme [11.4K]

.......The answer is 24.

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3 years ago

20 is 1/10 (one tenth) of what number?

NARA [144]

Answer:

20 is 1/10 of 200.

Step-by-step explanation:

100*(1/10) = 10

200*(1/10) = 20

Since 100 times 1/10 is 10, all you have to do is double it. So now, 200 times 1/10 is 20.

:) Hope this helps!

4 0

3 years ago