f(x)=lnx
y=f(x)
dy/dx= 1/x
tangent at (x,y) has slope 1/x
eqn of tangent is y = mx + c
since the tangent passes through origin, c=0
substitute y = lnx and m= 1/x to above eqn
lnx = 1
x=e
y=lne=1
Answer:
4/5 or 53°
Step-by-step explanation:
soh
cah
toa
you want soh
sine=opposite/hyp
therefore sine of C is 4/5
to find the degrees you have to something a lil different.
sin^-1 (theta)= 4/5
sin^-1(4/5)=theta
53°=theta
That is true because as you can see in the other 2 equations, they both have z on one of the sides meaning that the sides that don't have z are equal to each other
Hope this helps :)
Answer:
It will take 48 minutes to water all parts of her lawn.
Step-by-step explanation:
Each section runs for an equal amount of time
3 sections have run for 36 minutes
36 divided by 3 is 12, meaning each section runs for 12 minutes
12 times 4 is 48
Simple....
you have: (3.2*103)+(5.78*105)
You want to simplify it..but first remember your order of operations...
1.) Remove the parentheses-->>
(3.2*103)=329.6
and
(5.78*105)=606.9
Which leaves you with...
329.6+606.9=
=936.5
Thus, your answer.