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Mademuasel [1]
4 years ago
15

Find s(21) for the sequence s(n) = 5n - 4, n F{1,2,3...)

Mathematics
1 answer:
Slav-nsk [51]4 years ago
4 0

Answer:

s(21) = 101.

Step-by-step explanation:

Just substitute n = 21 in the general form:

s(21) = 5(21) - 4

= 105 - 4

= 101. (answer)>

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The gum you like is on sale. it is regularly priced at $1.59.
Gemiola [76]

Answer:

The required equation is c = 1.59 - s

Step-by-step explanation:

Here, s represents the sales price per pack and c represents the cost saving,

Also, the regular price per pack = $ 1.59,

Since,

Cost saving = Regular price - sales price

⇒ c = 1.59 - s

Which is the required equation that is used to determine how much money is saved if the pack is bought today.

3 0
4 years ago
Read 2 more answers
What is the distance between 3x - 5y + 3 =0 and 6x - 10y -12 =0
pogonyaev

9514 1404 393

Answer:

  (9/34)√34 ≈ 1.543

Step-by-step explanation:

The second equation can be rewritten as ...

  6x -10y -12 = 0

  3x -5y -6 = 0

  3x -5y = 6

__

The formula for the distance from point (x, y) to line ax+by+c=0 is ...

  d = |ax+by+c|/√(a²+b²)

Then the distance from a point to the first line is ...

  d = |3x -5y +3|/√(3² +(-5)²)

We know from the rearrangement of the second equation that points on its line satisfy (3x-5y) = 6. Substituting this value for (3x -5y) in the distance formula gives ...

  d = |6 +3|/√34

Simplifying and rationalizing the denominator gives a distance of ...

  d = (9/34)√34 ≈ 1.543

5 0
3 years ago
The rate at which customers are served at an airport check-in counter is a Poisson process with a rate of 8.1 per hour. The prob
just olya [345]

Answer:

Value of a is 0.667                      

Step-by-step explanation:

We are given the following in the question:

The rate of customer at an airport follows a Poisson distribution with

\lambda = 8.1

The normal approximation of Poisson distribution can be done in the following manner

\mu = \lambda = 8.1\\\sigma^2 = \lambda = 8.1\\\sigma = \sqrt{8.1} = 2.85

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of a such that

P(X_p > 50)=P(Z > a)

More than 50 customers per 5 hours means more than 10 customer per hour.

Thus, we can write

P( x > 10) = P( z > \displaystyle\frac{10 - 8.1}{2.85}) = P(z > 0.667)

Therefore, value of a is 0.667

4 0
3 years ago
Factor.
tekilochka [14]

Answer:

Answer is C

Step-by-step explanation:

(x + 6)(x + 2)

5 0
3 years ago
You start at (5, -4). You move up 6 units and down 1 unit. Where do you end?
Novosadov [1.4K]

Answer:

(5, 1)

Step-by-step explanation:

-4+6-1=1.

5 0
1 year ago
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