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nalin [4]
3 years ago
14

Find the nth term of this sequence -2 3 8 13 18

Mathematics
1 answer:
harina [27]3 years ago
5 0
The nth term is 5n-7
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A team of 17 softball players need to choose three players to refill the water cooler. How many different ways are there to sele
KATRIN_1 [288]
<h3>Answer: 680 different combinations</h3>

=======================================================

Explanation:

If order mattered, then we'd have 17*16*15 = 4080 different permutations. Notice how I started with 17 and counted down 1 at a a time until I had 3 slots to fill. We count down by 1 because each time we pick someone, we can't pick them again.

So we have 4080 different ways to pick 3 people if order mattered. But again order doesn't matter. All that counts is the group itself rather than the individual or how they rank. There are 3*2*1 = 6 ways to order any group of three people, which means there are 4080/6 = 680 different combinations possible.

An alternative is to use the nCr formula with n = 17 and r = 3. That formula is

_n C _r = \frac{n!}{r!*(n-r)!}

where the exclamation marks indicate factorials

5 0
3 years ago
What is the surface area of the rectangular prism?
azamat

Answer:

its 288 if u search formula for surface area of a rectangular prism

Step-by-step explanation:

4 0
3 years ago
PLEASE HELP ME
pav-90 [236]

Answer:

C.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A rancher has 800 feet of fencing to put around a rectangular field and then subdivide the field into 3 identical smaller rectan
Fittoniya [83]

Let x be the shorter side, and y be the longer side

 

There would be 4 fences along the shorter side, and 2 fences along the longer side

4x + 2y = 800

Rewrite in terms of y:

y = 400 − 2x

 

The area of the rectangular field is

A = x*y

Replace Y with the equation above:

  A = x(400 − 2x)

  A = − 2x^2 + 400x

 

The area is a parabola that opens downward, the maximum area would occur at the parabola vertex.

At the vertex

x = −b/2a

  = −400/[2(−2)]

  = 100

 

y = 400 −2x

y = 400 -2(100)

y = 400-200

y = 200

 

The dimension of the rectangular field that maximize the enclosed area is 100 ft x 200 ft.

8 0
3 years ago
. (8 X 1) + (5 X 160) + (9 x 10) =
MAVERICK [17]

Answer:898

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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