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mr Goodwill [35]
3 years ago
14

An airplane cruises 1 kilometer in 1/12 of a minute. What is its cruising speed?

Mathematics
1 answer:
Rasek [7]3 years ago
6 0

Answer:

The airplane is cruising at 200 metres per second.

Step-by-step explanation:

The speed of the object can be got by dividing the distance it travelled by the time taken to travel that distance.

For us to get the accurate cruising speed, we will have to convert all units to their S.I form

Distance - 1 kilometer = 1 X 1000 metres = 1000 metres

1/12 of a minute = 1/12 X 60 = 5 seconds.

Therefore the speed = distance / time

= 1000/5 = 200m/s

The airplane is cruising at 200 metres per second.

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Find the 5th term of the sequence in which t1 = 8 and tn-1 = t= -3tn-1
il63 [147K]
I think you mean to say that the sequence is given recursively by

\begin{cases}t_1=8\\t_n=-3t_{n-1}\end{cases}

From this you can find a general pattern for the nth term, but since we're only interested in determining t_5, we can stop once we arrive at that. We have

t_2=-3t_1
t_3=-3t_2=(-3)^2t_1
t_4=-3t_3=(-3)^3t_1
t_5=-3t_4=(-3)^4t_1

\implies t_5=8(-3)^4=8(81)=648
7 0
3 years ago
A cell phone company says that a fully charged battery lasts 14 hours. In reality, each battery behaves a little differently. Fo
gregori [183]

Answer:

The percentage is 50%

Step-by-step explanation:

From the question we are told that  

     The  mean is  \mu  =  14 \  hours

     The  standard deviation is \sigma =  1 \  hour

Generally on the normal distribution curve the mean divides the curve into  two. with the half to the left of the mean (50% to the left )representing the percentage of the batteries that will last less than 14 hours and  the area under the curve to the right (50% to the right)representing the percentage of batteries that will last longer than mean (14 hours )

Hence the percentage of the cell phone batteries that will be expected to last longer than 14 hours is 50%

8 0
4 years ago
How long will it take you to double an amount of $500 if you invest it at a rate of 7% compounded monthly?   Round to 3 decimal
Lorico [155]

Answer:

9.931 years

Step-by-step explanation:

6 0
3 years ago
10.5125 rounded to the nearest cent plz help me ty <3
Phoenix [80]

Answer: your answer should be 10.5130

Step-by-step explanation:

5 0
3 years ago
A store buys a computer for<br> $200. They mark it up by 40%.<br> What will the selling price be?
Natali [406]

Step-by-step explanation:

do from there all answer is that okay

6 0
2 years ago
Read 2 more answers
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