Answer:
f(-3) = -2
f(-2.6) = -2
f(0.6) = 2.4
f(4.5) = 8.5
Step-by-step explanation:
(Whole question:
Evaluate the piecewise function for the given values.
Find f(-3), f(-2,6), f(0.6), and f(4.5) for f(x)={ -2 If x ≤ 0 4x. If 0 <x <1. x + 4. If x ≥ 1)
As the piecewise function shows, the function f(x) has the value of -2 for values of x lesser or equal than 0, has the value of 4x if the value of x is between 0 and 1, and has the value of x+4 for values of x greater or equal than 1.
So, for f(-3), the value of x is lesser than 0, so we have that f(-3) = -2
For f(-2.6), the value of x is lesser than 0, so we have that f(-3) = -2
For f(0.6), the value of x is between 0 and 1, so we have that f(0.6) = 4*0.6 = 2.4
For f(4.5), the value of x is greater than 1, so we have that f(4.5) = 4.5 + 4 = 8.5
Answer:
There are a total of 4 + r + 6 marbles in the bag
The probability of a blue is
The probability of a red is
The probability of choosing a blue, replacing it and then a red is
×
= [tex]\frac{4r}{100+20r+ r^{2} /[tex]
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
There is a right triangle formed between the height above the tower to the plane, the horizontal and the line from the tower to the plane.
The height above the tower to the plane = 13000 - 150 = 12850 ft
The angle between the plane and the tower is 20° , angle of depression.
Using the tangent ratio in the right triangle formed, with the adjacent side being the horizontal ( hor ) distance, then
tan20° =
=
( multiply both sides by hor)
hor × tan20° = 12850 ( divide both sides by tan20° )
hor =
≈ 35305 ft ( to the nearest foot )
(2)
Arianna is 60 + 5 = 65 ft above the ground ( to her eye level )
Using the right triangle formed with legs 65 and 37 and angle of depression x, then
tanx° =
=
, thus
x =
(
) ≈ 30° ( to the nearest degree )
Answer: 2 hours 15 minutes
Step-by-step explanation:
3/4 of an hour times 3 will be 9/4; each fourth is 15 minutes. 9 times 15 is 135 minutes, which is 2 hours and 15 minutes