Solve the problem.The rate of change of the population of a town is given by
where P is the population in thousands t years after 1970. Find the function P(t) given that the population in 1999 is 152 thousand.
A. P(t) = + ln (t - 6) + 66
B. P(t) = 1.8t + 1.8 ln (t - 6) + 94
C. P(t) = 1.8t + 10.8 ln (t - 6) + 66
D. P(t) = + 1.8 ln (t - 6) + 66
Answer: C
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Find the reference angle for ?. ? = -287°
A. -17° B. 107° C. 73° D. 287°
Solve the problem.The arch beneath a bridge is semi-elliptical, a one-way roadway passes under the arch. The width of the roadway is 36 feet and the height of the arch over the center of the roadway is 11 feet. Two trucks plan to use this road. They are both 8 feet wide. Truck 1 has an overall height of and Truck 2 has an overall height of
. Draw a rough sketch of the situation and determine which of the trucks can pass under the bridge.
A. Neither Truck 1 nor Truck 2 can pass under the bridge. B. Both Truck 1 and Truck 2 can pass under the bridge. C. Truck 2 can pass under the bridge, but Truck 1 cannot. D. Truck 1 can pass under the bridge, but Truck 2 cannot.
Solve the problem.A gas company has the following rate schedule for natural gas usage in single-family residences:Monthly service charge$8.80Per therm service charge1st 25 therms$0.6686/thermOver 25 therms$0.85870/thermWhat is the charge for using 25 therms in one month?What is the charge for using 45 therms in one month?Construct a function that gives the monthly charge C for x therms of gas.
What will be an ideal response?
In , the length of radius is 6 inches. If m
= 90° and m
= 60°, how much longer is
chord than chord
?
What will be an ideal response?