Step-by-step explanation:
If y is largest number, you want y, and the two next smaller even integers smaller than y - i.e. y, y-2, and y-4
The sum of these is y + (y-2) + (y-4).
This simplifies to 3y - 6 or 3(y - 2)
Since we don’t know what y is, this is as far as we can solve the problem.
Answer:
dy/dx = (x^2 - 3)^sin x [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)]
Step-by-step explanation:
y = (x^2 - 3)^sinx
ln y = ln (x^2 - 3)^sinx
ln y = sin x * ln (x^2 - 3)
1/y * dy/dx = sin x * {1 / (x^2 - 3)} * 2x + ln(x^2 - 3) * cos x
1/y dy/dx = 2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)
dy/dx = [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)] * y
dy/dx = (x^2 - 3)^sin x [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)]
Answer:
12.5663706144
If necessary, and if your system/teacher allows it, just keep it down to 1-3 decimals.
Hope I could help! :D
The answer is 90
20%of 99=18
For the first one, since she earns $17 per hour, & she tutored for 12 hrs this month, all you have to do is multiply the amount she makes per hour by the hours she’s tutored for. so 12x17=$204 so she made $204 this month. For the second one, it’d be the same thing, just multiply 19.5 by 17, which would give you 331.5.
& For the second question, all you have to do is plug in the numbers to the equation above. so it’d be 540 gallons / 1 minute multiplied by 42 since that is the time the pool needs to be filled by. So, if you do that, you will get 22,680, so the answer will be : yes it will fill up on time.