In both cases, y and x components are solved and added. The resulting hypotenuse is then computed and its direction calculated.
Airplane:
Ф = 270 - 265 = 5°
Hypotenuse, h = 420 mph
y component = 420 Sin Ф = 420 Sin 5 = 36.61 mph
x component = 420 Cos Ф = 420 Cos 5 = 418.40 mph
Wind
Ф = 270 -210 = 60°
Hypotenuse, h = 30 mph
y component = 30 Sin 60 = 25.98 mph
x component = 30 Cos 60 = 15 mph
Total y = 36.61+25.98 = 62.59 mph
Total x = 418.40+15 = 433.40 mph
Resulting speed of airplane = Sqrt (y^2+x^2) = Sqrt (62.59^2+433.40^2) = 437.9 mph
Direction = 270 -[tan^-1 (y/x)] = 270 -[tan^-1(62.59/433.40)] = 261.78°
Answer:
Option D, Yes, Devon should have evaluated f(3)
Step-by-step explanation:
f(x) = x^3 + x^2 − 10x + 8
<u>Step 1: Evaluate using F(3) NOT f(-3)</u>
f(3) = 3^3 + 3^2 - 10(3) + 8
f(3) = 27 + 9 - 30 + 8
f(3) = 14
Since the factor is (x - 3) the x value is x - 3 + 3 = 0 + 3 -> x = 3 not x = -3
Answer: Option D, Yes, Devon should have evaluated f(3)
C.
the dotted line is the vertical asymptote, the value that x can never be. x can not be 4 this case, because x+4, the denominator, cannot be 0.
Answer:
c.It increases.
Step-by-step explanation:
The Law of Supply and Demand states that:
The higher the prices, the higher the supply, the lower the demand. This means that at a higher price, sellers will try to sell more of the product(increasing supply), but buyers will buy less of this product(decreasing demand).
So the correct answer is:
c.It increases.
