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3 years ago

At time t= 0, Elevator A is 40 feet above the ground floor.

Mathematics

1 answer:

Zepler [3.9K]3 years ago

7 0

There is no graph for Elevator B. I'm sorry if I'm mistaken.

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I like to think of myself as the most lucky person out there. 'Why?' you may ask. My reasoning is quite simple, really. The reas

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3 years ago

Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact

umka2103 [35]

Solution:

The permutation formula is expressed as

$\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\ \end{gathered}$

The combination formula is expressed as

$\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\ \\ \end{gathered}$

where

$\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}$

Given that 6 objects are taken at a time from 8, this implies that

$\begin{gathered} n=8 \\ r=6 \end{gathered}$

Thus,

Number of permuations:

$\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}$

Number of combinations:

$\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}$

Hence, there are 28 combinations and 20160 permutations.

7 0

1 year ago

A 33 gram sample of a substance that's<br> used to detect explosives has a k-value<br> of 0.1467.

romanna [79]

Answer:From the attached graphic, Half-life = ln (.5) / k

Half-life =.693147 / 0.1142

= 6.0695884413 days

Step-by-step explanation:The value of "k" should be negative and should have units associated with it.

3 0

3 years ago

Lesson 6 Practice Problems

inna [77]

Answer:

WHITE PAINT PINK PAINT

(CUPS) (CUPS)

4 3

4/3 1

1 3/4

16/3 4

5 15/4

-Lexi

6 0

3 years ago

20 POINTS

dmitriy555 [2]

Answer:

Step-by-step explanation:

Its correct corrdenates are -8, 1 and 5, -3

6 0

3 years ago

Read 2 more answers