F= (x) cos ÷ sin.
so f would be -5
At a rate of 78 ounce of water per hour, it would take 23,424 hours to drain the pond.
<h3>How long will it take to drain the pond?</h3>
First of all, we would use an appropriate conversion factor to convert the given units of water to the same unit. Thus, we would convert the unit of the pond's volume to ounce as follows:
Conversion factor:
1 gallon = 128 ounce.
14,274 gallons = X ounce
Cross-multiplying, we have:
X = 14,274 × 128
X = 1,827,072 ounces.
Now, we can calculate the time:
Rate = volume/time
Time = volume/rate
Time = 1,827,072/78
Time = 23,424 hours.
Read more on rate of change here: brainly.com/question/15648128
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Complete Question:
A pond at a hotel holds 14,274 gallons of water. The groundskeeper drains the pond at a rate of 78 ounce of water per hour. How long will it take to drain the pond?
Answer:
<em>The aircraft has a height of 1000 m at t=2 sec, and at t=8 sec</em>
Step-by-step explanation:
<u>Finding Exact Roots Of Polynomials</u>
A polynomial can be expressed in the general form
The roots of the polynomial are the values of x for which
Finding the roots is not an easy task and trying to find a general solution has been discussed for centuries. One of the best possible approaches is trying to factor the polynomial. It requires a good eye and experience, but it gives excellent results.
The function for the trajectory of an aircraft is given by
We need to find the values of t that make H=1000, that is
Dividing by -0.5
Rearranging, we set up the equation to solve
Expanding some terms
Rearranging
Factoring
This produces our first root t=2. Now let's factor the remaining polynomial
This gives us the second real root t=8. The other two roots are not real numbers, so we only keep two solutions
Answer:
1) 2,6,18,54,162,468 (multiply by 3 each time)
2) 2, -4, 8, -16, 32, -64 (i'm not sure what this is but i'm pretty confident i'm right lol)
3) 1,3,5,7,9,11 (add 2 each time)
4) 1, 2/3 , 4/6 , 8/9 , _ _ (i'm sorry i tried my hardest but i don't know this one)
Step-by-step explanation:
hope this helped! so sorry about 4...
Answer:
sorry i am not able to understood
Step-by-step explanation: