In the given question it is already mentioned that an adult drinks 54 fluid ounces of water daily. Also it is mentioned that Josey has already drank 700 milliliters of water.
Now fopr solving this problem we have to fist convert 64 ounces to liter and then convert 700 milliliter to liter and then only can we get the answer to the question.
We already know
1 ounce = 0.29 liter
64 ounce = 64 * 0.29 liter
= 18.56 liter
So 18.56 liter is the daily recommendation for an adult to drink water
Again
1 milliliter = 0.001 liter
700 ml = 0.001 * 700 liter
= 0.7 liter
So Josey has already drank 0.7 liters of water
Amount of water Josey still needs to drink = (18.56 - 0.7) liter
= 17.86 liter
Answer:
0.06km
Step-by-step explanation:
15÷1000=0.0015
0.0015×4=0.06
Answer:y=-5(x+11)^2 -28
Step-by-step explanation: Okay think about what you know about translations and transformations of parent functions. In this case, the parent function is x2. So what now?
First, the problem states that the parabola opens DOWN. This means that you should look for a negative leading coefficient. This narrows your options down to C or D. (-5 is the leading coefficient)
Now starting with the x2, the vertex would be at (0,0), but in this problem it is at (-11,-28). That means it was TRANSLATED 11 spots in the negative x-direction and 28 spots in the negative y-direction.
Look at your options, when a number is being added directly unto the x variable, such as in answer C, it moves in the negative x-direction. This tells you that C has to be your answer.
I hope that helps!
Answer:
5 
- 
/ 28r
sorry I can't put a fraction but the "'/" is the line and 28r goes underneath
Explanation:
Download photomath and take a picture, it will explain it. It would take forever for me to type it out
Proof by induction
Base case:
n=1: 1*2*3=6 is obviously divisible by six.
Assumption: For every n>1 n(n+1)(n+2) is divisible by 6.
For n+1:
(n+1)(n+2)(n+3)=
(n(n+1)(n+2)+3(n+1)(n+2))
We have assumed that n(n+1)(n+2) is divisble by 6.
We now only need to prove that 3(n+1)(n+2) is divisible by 6.
If 3(n+1)(n+2) is divisible by 6, then (n+1)(n+2) must be divisible by 2.
The "cool" part about this proof.
Since n is a natural number greater than 1 we can say the following:
If n is an odd number, then n+1 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
If n is an even number" then n+2 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
Therefore by using the method of mathematical induction we proved that for every natural number n, n(n+1)(n+2) is divisible by 6. QED.
