Answer:
Step-by-step explanation:
x > -2
x < -2
Answer:
33 pi
Step-by-step explanation:
Area of the larger sector = Area of the circle - Area of the smaller sector
Area of the circle = (6)^2 pi = 36 pi
Area of the smaller sector = 1/2 × (6)^2 × theta....,where theta has to be in radians
30° = pi/6
Area of the smaller sector = 1/2 × 36 × pi/6
= 3 pi
Area of the larger sector = 36 pi - 3 pi
Area = 33 pi
For 10 feet and 6 inches,
12 inches = 1 foot, therefore 6 inches = 6/12 foot = 0.5 foot
10 feet 6 inches = 10 + 0.5 = 10.5 feet
7 feet required 3 pints
1 foot would have required (3/7) pints
10.5 feet will then require: (3/7)*10.5 = 4.5 pints.
Therefore 10 feet and 6 inches will require 4.5 pints.
Answer: The function that models the distance they drive is
f(x) = 50x + 20 where x is the time in hours
reasonable domain: 0 ≤ x ≤ 3
Step-by-step explanation:
examples:
95 = 50(1.5) + 20 After driving another hour and a half, they will have driven a total of 95 miles.
120 = 50(2) + 20 This means that after 2 more hours they will reach their destination.
There is a little ambiguity in the question. The function could be written as if they are starting out. f(x) = 50t
20 = 50(.4) At 50 mph it took .4 hours to go 20 miles.
120 = 5(2.4) The whole trip took 2.4 hours.
Answer:
Step-by-step explanation:
a. Yes, the following statement is true. The police officer is gathering data by writing down all the speeding tickets and seperating them into two categories, red and non-red cars. He can later analyze this data and compare them to determine whether or not his hypothesis is true.
b. The color of the car is the only variable that would not be a confounding variable in this scenario. This would instead be the independent variable and does not in any way affect the dependent variable which would be the number of speeding tickets received.