Explanation:
Note that
d
d
x
(
arccos
(
x
)
)
=
−
1
√
1
−
x
2
.
Then, by the chain rule
d
d
x
(
arccos
(
4
x
2
)
)
=
2
⋅
(
arccos
(
4
x
2
)
)
⋅
d
d
x
(
arccos
(
4
x
2
)
)
.
Then, by the chain rule again,
d
d
x
(
arccos
(
4
x
2
)
)
=
−
1
√
1
−
16
x
4
⋅
d
d
x
(
4
x
2
)
,
d
d
x
(
arccos
(
4
x
2
)
)
=
−
8
x
√
1
−
16
x
4
.
Substituting,
d
d
x
(
arccos
(
4
x
2
)
)
=
−
16
x
⋅
arccos
(
4
x
2
)
√
1
−
16
x
4
.
Hey there! I'm happy to help!
First, let's find the slope. To find it, you divide the difference in two y values by the difference in the corresponding x values.
The x values are what you can choose. You can choose the number of minutes you choose, but you cannot directly choose the cost. You control the minutes, which dictates what the cost is. So, the minutes are our x values and the costs are our y values.
Let's use the points (500,62) and (750,77).
We subtract the y values.
77-62=15
We subtract the x values.
750-500=250
We divide these.
15/250=0.06
This means that our slope is 0.06, which means that for every minute the cost goes up by six cents.
The slope intercept equation is y=mx+b. The m is slope and b is y-intercept. We already have the slope, but we need the y-intercept. We can plug in the slope and one point on the line to solve for b.
62=0.06(500)+b
Flip the equation so b is on the left.
0.06(500)+b=62
30+b=62
Subtract 30 from both sides.
b=32
Therefore, our equation is y=0.06x+32.
Have a wonderful day! :D
BR
RB
RR
BB
The sample space is any space that gives a positive outcome to all samples. They have to have an equal outcome
Answer:
Step-by-step explanation:
The types of radiation are
Alpha
Beta
Gamma
Alpha radiation is the energy carried by fast moving helium atoms.
Beta radiation is the energy of electrons released from atoms.
Gamma radiation is the energy released by radioactive or unstable atoms.
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