Answer:
1 2/6 3 3/4
Step-by-step explanation:
F(x) can be written as:
f(x) = Asin(2x); where A is the amplitude and the period of the function is half that of a normal sin function.
f(π/4) = 4
4 = Asin(2(π/4))
4 = Asin(π/2)
A = 4
Amplitude of g(x) = 1/2 * amplitude of f(x)
A for g(x) = 2
g(x) = 2sin(x)
The definition of the tangent function tells you
tan(angle) = (300 ft) / (distance to mountain)
This equation can be rearranged to
(distance to mountain) = (300 ft) / tan(angle)
For the far end of the river,
distance to far end = (300 ft) / tan(24°) ≈ 673.8 ft
For the near end of the river
distance to near end = (300 ft) / tan(40°) ≈ 357.5 ft
Then the width of the river can be calculated by finding the difference of these distances:
width of river = distance to far end - distance to near end
width of river = 673.8 ft - 357.5 ft
width of river = 316.3 ft
The appropriate answer choice is
316 ft.
Jeremiah got $65 on birthday and spent some money on 3 video games and was left with $14.
He purchased 3 video games.
Let the cost one one video game be v.
The cost of each video game is same
So the cost of 3 video games is 3v.
Also he is left with $14 after paying for three games.
Hence
3v + 14 = 65
Subtracting 14 from both sides
3v + 14 -14 = 65-14
3v = 51
Dividing by 3 on both sides
v = 51/3
v = 17
Hence the cost of each video game is $17
Hey there!
If we have two white marbles and seven purple marbles, our first probability is out of nine.
First of all, we have the probability of selecting a purple marble, 7/9.
Now, if we do not replace it, there are only eight marbles left. Therefore, getting a white marble is 2/8, or 1/4.
We multiply these probabilities together to get our answer to a.
7/9(1/4)= 7/36
a. 7/36
Now, let's do b. We have 2/9, and then 1/8, giving us 1/36.
b. 1/36
Now, let's calculate selecting two purple to help us with C.
We have 7/9, and then 6/8, or 3/4.
7/9(3/4)= 7/12
Since there is a majority of purple marbles, there is a C) greater probability of selecting two purple marbles in a row.
I hope this helps!
