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2 years ago

An elevator travels 310 feet in 10 seconds at that speed how far can this elevator travel

Mathematics

1 answer:

frez [133]2 years ago

6 0

Answer:

1,860 per minute and 111,600 per hour

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The cost of producing n necklaces is p(n) = 15n + 60. The necklaces cost $30, which can be represented by c(n) = 30n. For how ma

zysi [14]

Answer:

n=4

Step-by-step explanation:

5 0

2 years ago

Determine formula of the nth term 2, 6, 12 20 30,42

nalin [4]

Check the forward differences of the sequence.

If $\{a_n\} = \{2,6,12,20,30,42,\ldots\}$ , then let $\{b_n\}$ be the sequence of first-order differences of $\{a_n\}$ . That is, for n ≥ 1,

$b_n = a_{n+1} - a_n$

so that $\{b_n\} = \{4, 6, 8, 10, 12, \ldots\}$ .

Let $\{c_n\}$ be the sequence of differences of $\{b_n\}$ ,

$c_n = b_{n+1} - b_n$

and we see that this is a constant sequence, $\{c_n\} = \{2, 2, 2, 2, \ldots\}$ . In other words, $\{b_n\}$ is an arithmetic sequence with common difference between terms of 2. That is,

$2 = b_{n+1} - b_n \implies b_{n+1} = b_n + 2$

and we can solve for $b_n$ in terms of $b_1=4$ :

$b_{n+1} = b_n + 2$

$b_{n+1} = (b_{n-1}+2) + 2 = b_{n-1} + 2\times2$

$b_{n+1} = (b_{n-2}+2) + 2\times2 = b_{n-2} + 3\times2$

and so on down to

$b_{n+1} = b_1 + 2n \implies b_{n+1} = 2n + 4 \implies b_n = 2(n-1)+4 = 2(n + 1)$

We solve for $a_n$ in the same way.

$2(n+1) = a_{n+1} - a_n \implies a_{n+1} = a_n + 2(n + 1)$

Then

$a_{n+1} = (a_{n-1} + 2n) + 2(n+1) \\ ~~~~~~~= a_{n-1} + 2 ((n+1) + n)$

$a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))$

$a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))$

and so on down to

$a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2$

$\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}$

6 0

2 years ago

Solve by using elimination. Express your answer as an ordered pair.

12345 [234]

Answer:

(-2, 5)

Step-by-step explanation:

we subtract 6x+3y=3 by 2x+3y=11 to get 4x=-8.

we divide both sides by 4 to get x. x=-2

We subsitute -2 for the second equation to get:

2(-2)+3y=11

=-4+3y=11

=3y=15

y=5

4 0

2 years ago

Read 2 more answers

I will mark u brainlist if u answer find the mistake... 4x + x = 30 –6 4x = 24 4 24 4 4 x x = 6

Jlenok [28]

Answer:

The mistake is that 4x+x = 5x not 4x

Step-by-step explanation:

4x + x = 30 –6

Combine like terms

5x = 24

Divide each side by 5

5x/5 = 24/5

x = 24/5

The mistake is that 4x+x = 5x not 4x

4 0

2 years ago

52 is what percent of 260

pickupchik [31]

Answer:

20%

Step-by-step explanation:

52 of 260 can be writen as:

260

Multiply both numerator & denominator by 100

260

100

= 20%

If you are using a calculator, simply enter 52÷260×100 which will give you 20 as the answer.

4 0

2 years ago

Read 2 more answers