Answer:
f=110132.328974hti
Step-by-step explanation:
The <u>correct answer</u> is:
D) <span>if it's raining, then the humidity level is 100%; hypothesis: it is raining; conclusion: the humidity level is 100%.
Explanation:
The truth value of this conditional statement is true; if it is raining outside, that would mean the humidity level is 100%..
The hypothesis of a conditional statement is the "if" part. In this statement, what follows "if" is "it's raining"; this is the hypothesis.
The conclusion of a conditional statement is the "then" part. In this statement, what follows "then" is "the humidity level is 100%"; this is the conclusion.</span>
Yes, (3, 2) is a solution to y = 2x - 4. (:
This is quite a complex problem. I wrote out a really nice solution but I can't work out how to put it on the website as the app is very poorly made. Still, I'll just have to type it all in...
Okay so you need to use a technique called logarithmic differentiation. It seems quite unnatural to start with but the result is very impressive.
Let y = (x+8)^(3x)
Take the natural log of both sides:
ln(y) = ln((x+8)^(3x))
By laws of logarithms, this can be rearranged:
ln(y) = 3xln(x+8)
Next, differentiate both sides. By implicit differentiation:
d/dx(ln(y)) = 1/y dy/dx
The right hand side is harder to differentiate. Using the substitution u = 3x and v = ln(x+8):
d/dx(3xln(x+8)) = d/dx(uv)
du/dx = 3
Finding dv/dx is harder, and involves the chain rule. Let a = x+ 8:
v = ln(a)
da/dx = 1
dv/da = 1/a
By chain rule:
dv/dx = dv/da * da/dx = 1/a = 1/(x+8)
Finally, use the product rule:
d/dx(uv) = u * dv/dx + v * du/dx = 3x/(x+8) + 3ln(x+8)
This overall produces the equation:
1/y * dy/dx = 3x/(x+8) + 3ln(x+8)
We want to solve for dy/dx, achievable by multiplying both sides by y:
dy/dx = y(3x/(x+8) + 3ln(x+8))
Since we know y = (x+8)^(3x):
dy/dx = ((x+8)^(3x))(3x/(x+8) + 3ln(x+8))
Neatening this up a bit, we factorise out 3/(x+8):
dy/dx = (3(x+8)^(3x-1))(x + (x+8)ln(x+8))
Well wasn't that a marathon? It's a nightmare typing that in, I hope you can follow all the steps.
I hope this helped you :)
Answer: 1 11/16
Step-by-step explanation:
5 divided by 5 is 1 so that’s a whole number and 11 is left 16-5=11 so the fraction will be the mixed number as 1 11/16. And also if you can, can you plz help me on my science hw it’s due tomorrow and I don’t know what to do!
