Suppose you park your car at a trailhead in a national park and begin a 2? -hr hike to a lake at 7 a. m. on a friday morning. on saturday ? morning, you leave the lake at 7 a. m. and start the 2? -hr hike back to your car along the same trail you took to the lake. assume the lake is 2 mi from your car. let? f(t) be your distance from the car t hours after 7 a. m. on friday morning and let? g(t) be your distance from the car t hours after 7 a. m. on saturday morning. complete parts a to b below. a. evaluate? f(0), f(55), g(0), and g(55).b. let h(t)=f(t) g(t). find h(0) and h(55).

Someone answer asap for ! max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a. the median of max’s data is 250 b. more than half of the data points max recorded were 177 centimeters. c. a data point chosen at random is as likely to be above the mean as it is to be below the mean. d. every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

Which function can be used to model the monthly profit for x trinkets produced? f(x) = –4(x – 50)(x – 250) f(x) = (x – 50)(x – 250) f(x) = 28(x + 50)(x + 250) f(x) = (x + 50)(x + 250)

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.