Answer:
See verification below
Step-by-step explanation:
We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that

Now, differentiate to obtain


To obtain the required form, extract a factor in both the numerator and denominator:

Answer:
He has to dip it 5 times
Step-by-step explanation:
each time he dips it, he gets 1 1/2, or 1.5 gallons. how many times can you add 1.5 to 6 1/2, or 6.5. It is 4 1/3 times, but since you can't dip the bucket 1/3 of a time, it is counted as 1, so 5
Answer:
c = 7√2
Step-by-step explanation:
Apply pythagorean theorem to find the third side.
Thus, c² = a² + b²
where, c is the third side and a and b are the other sides.
Plug in the values
c² = 8² + (√34)²
c² = 64 + 34
c² = 98
c = √98
c = √(49 * 2)
c = 7√2
First multiply 2x - 5 by 3 amd will open the brackets
3(2x-5)-4=33
6x - 15 - 4 = 33
6x - 19 = 33
Take -19 to other side and its sign will be become +
6x = 33 + 19
6x = 52

x = 8.6