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Misha Larkins [42]
3 years ago
14

Imelda, Susan, and Clara are driving go-carts around a track. Imelda takes 14 minutes, Susan takes 18 minutes, and Clara takes 1

0 minutes to drive on lap. Suppose all three of them start together at a point and drive at their same speed. After how many minutes would all three meet again?
Mathematics
1 answer:
RoseWind [281]3 years ago
4 0

Answer:

630 minutes.

Step-by-step explanation:

That would be the lowest common multiple of 10, 14 and 18

10 = 2 x 5

14= 2 x 7

18 = 2 x 3 x 3

The LCM = 2 x 3 x 3 x 5 x 7

= 630.

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Sindrei [870]

Answer:

Range= (0,∞) and (-∞,0)

Step-by-step explanation:

Theres no real process to finding this out you just look at what type of function you have, your graph and your asymptote. We can see that the parts above the asymptote go up and towards ∞ and the part below goes down to -∞ but they can not cross 0

8 0
2 years ago
Read 2 more answers
what is the completely factored form of t^4 − 16? (t^2 4)(t^2 − 4) (t^2 4)(t 2)(t − 2) (t^2 4)(t − 2)(t − 2) (t 2)(t 2)(t 2)(t −
Eva8 [605]
Use:a^2-b^2=(a-b)(a+b)\\\\t^4-16=(t^2)^2-4^2=(t^2-4)(t^2+4)=(t^2-2^2)(t^2+4)=(t-2)(t+2)(t^2+4)
7 0
3 years ago
A Ferris wheel can accommodate 40 people in 20 minutes. How many people
Montano1993 [528]

Answer:

360 people in 3 hours. 120 people per hour.

Step-by-step explanation:

How many times do 20 minutes go into 3 hours?

Well, 60 min. ÷ 20 min. = 3

So, 3 x 3 = 9

So 40 people went on the ride each 20 minutes. And there are (3) 20 minutes in every hour.

So 3 hours would be 9 x 40 = 360

120 people per hour because 40 x 3 = 120

and 20 minutes (3) times equals 1 hour.

6 0
2 years ago
5x^2-5x-30=0 solve using quadratic
dangina [55]

Answer:

=3

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Step-by-step explanation:

4 0
3 years ago
How do you do these 2 questions?
zavuch27 [327]

Answer:

0 ≤ an ≤ bn

The series ∑₁°° bn converges

The series ∑₁°° an converges by comparison to ∑₁°° bn.

0 ≤ an ≤ bn

The series ∑₁°° bn diverges

The comparison test is inconclusive for our choice of bn.

Step-by-step explanation:

an = 1 / (n² + n + 3) and bn = 1 / n²

The numerators are the same, and the denominator of an is greater than the denominator of bn.  So 0 ≤ an ≤ bn.

bn is a p series with p > 1, so it converges.

Since the larger function converges, the smaller function also converges.

an = (3n − 1) / (6n² + 2n + 1) and bn = 1 / (2n)

If we rewrite bn as bn = (3n − 1) / (6n² − 2n), we can tell that when the numerators are equal, the denominator of an is greater than the denominator of bn.  So 0 ≤ an ≤ bn.

bn is a p series with p = 1, so it diverges.

The larger function diverges.  We cannot conclude whether the smaller function converges or diverges.

5 0
2 years ago
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