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Amanda [17]
3 years ago
12

) a water tank is emptying steadily by 2 liters of water per hour. there were 2 liters of water 6 hours after midnight. let x re

present the number of hours since midnight, and let y represent the number of liters of water in the tank. find the equation showing the amount of water at time x.
Mathematics
1 answer:
REY [17]3 years ago
6 0
First of all, let's find the water tank total amount
according to the exercice, there were 2 L (L =liters) of water at 6 am (6hours after midnight ).
Consider T as total amount of water
so we have
T=(6×2)+2=14 as we already know it's emptying 2 L per hour

y=14-2x , here is the equation !
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3 years ago
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Alexus [3.1K]

Answer:

a)6

b)v^2-u^2/2a

Step-by-step explanation:

a)Given that,

u=12

a= -6

s=9

We know that,

v^2=u^2+2as

or, v^2=(12)^2+2×(-6)×9

or,v^2=144-108

or,v^2=36

or, v=√36

∴v=6

         (Ans)

b)If ,v^2=u^2+2as

then, u^2+2as=v^2

or,2as=v^2-u^2

or, s=v^2-u^2/2a

∴s=v^2-u^2/2a

Hope ya find it helpful.. Thanks a lot...

6 0
3 years ago
An investigator wants to assess whether the mean m = the weight of passengers flying on small planes exceeds the FAA guideline o
stira [4]

Answer:

H_{0}: \mu= 185 and H_{a}: \mu > 185

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In this context, the investigator's null hypothesis should be that the average total weight is no different than the reported value by the FAA. We can write it in this form H_{0}: \mu= 185.

The alternative hypothesis H_{a} states that a population parameter is smaller, greater, or different than the hypothesized value in the null hypothesis. We can write the alternative hypothesis in one of three forms

H_{a}: parameter > value\\H_{a}: parameter < value\\H_{a}: parameter \neq value

The investigator wants to know if the average weight of passengers flying on small planes exceeds the FAA guideline of the average total weight of 185 pounds. He should use H_{a}: \mu > 185 as his alternative hypothesis.

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