=±22
x
=
±
2
x
2
Using the fact that 2=ln2
2
=
e
ln
2
:
=±ln22
x
=
±
e
x
ln
2
2
−ln22=±1
x
e
−
x
ln
2
2
=
±
1
−ln22−ln22=∓ln22
−
x
ln
2
2
e
−
x
ln
2
2
=
∓
ln
2
2
Here we can apply a function known as the Lambert W function. If =
x
e
x
=
a
, then =()
x
=
W
(
a
)
.
−ln22=(∓ln22)
−
x
ln
2
2
=
W
(
∓
ln
2
2
)
=−2(∓ln22)ln2
x
=
−
2
W
(
∓
ln
2
2
)
ln
2
For negative values of
x
, ()
W
(
x
)
has 2 real solutions for −−1<<0
−
e
−
1
<
x
<
0
.
−ln22
−
ln
2
2
satisfies that condition, so we have 3 real solutions overall. One real solution for the positive input, and 2 real solutions for the negative input.
I used python to calculate the values. The dps property is the level of decimal precision, because the mpmath library does arbitrary precision math. For the 3rd output line, the -1 parameter gives us the second real solution for small negative inputs. If you are interested in complex solutions, you can change that second parameter to other integer values. 0 is the default number for that parameter.
okay, so you showed me the actual equation which is
0.04(30h) + 30h
0.04(30h) is the part of the expression that represents the amount of tax she must pay. This part shows that 0.04 (4%) is the tax rate, 30 is the amount of money needed to pay per hour (h). Taxes are a percentage of the actual price added on to the actual price, so that means that 30h is the actual price, 30 dollars an hour, and 0.04(30h0 are the taxes she has to pay.
Answer:
divided by 2 each time
Step-by-step explanation:
Answer:
Step-by-step explanation:
Its asking for how long did she watch for both videos.
4/8 is half. so simplest form would be
Answer:
AB = AC
so AB is Also 3.2
.............................