Answer:
1) x=0.465
2) option A.
Step-by-step explanation:
1) The given equation is:
We rewrite this as logarithm to get:
The change of base formula is:
We apply the change of base formula on the RHS to get:
Group similar terms:
2)
From the graph, the logarithmic function approaches negative infinity as x approaches -6.
Therefore the vertical asymptote is x=-6
The graph touches the x-axis at x=-5, therefore the x-intercept is x=-5.
The correct answer is A.
THis is a binomial distribution:-
P( 3 tails) = 15C3 (0.5)^3(0.5)^12
= 0.0139
P(5 tails) = 15C5 (0.5)^5(0.5)^10
= 0.0916
P(3 or 5) = 0.0139 + 0.0916 = 0.1055 Answer
Answer:
The answer is 7(tan 50°)
Step-by-step explanation:
So first you need to find which formula you will be using to do this you need to find if you're talking about the hypotenuse, opposite, or adjacent.
The side that measures 7 meters would be the adjacent because its right next to the angle and its not the hypotenuse because its not the largest side
The side which we do not know the length to will be the opposite side because it is opposite from where the angle is.
There are 3 formulas:
sin A = Opposite side/Hypotenuse = BC/AB
cos A = Adjacent side/Hypotenuse = AC/AB
tan A = Opposite side/Adjacent side = BC/AC
There is one formula that has Opposite and Adjacent which is tangent so thats the formula you'll use
Next you plug in the values that you have so your formula will look like this:
Tan 50° = x/7
A will always be where you plug in the angle and then you plug in the information according to what side it is
Every time that x is the numerator you will just multiply both sides by the denominator which gives you:
7(tan 50°)
Which is your answer :))
X - y = 2400/6 = 400 where x = speed of plane and y = speed of wind.
x + y = 2400/5 = 480 - flying with the wind
adding the 2 equations
2x = 880
x = 440
Speed of the plane with no wind = 440 mph
