An object is dropped from a height of 150 feet. Its heights s at time, t is given by the equation s(t) =-16t^2+150 ,where s is measured in feet and t is measured in seconds.

Find the average rate of change of the height over the interval [1, 2.5).

O 1) -56 ft/sec

O2) 77 ft/sec

03) 56 ft/sec

O4) -35 ft/sec

The average rate of change of the height over the interval [1, 2.5] is - 56 feet per second.

Step-by-step explanation:

Let . Geometrically speaking, average rate of change over a given interval (), measured in feet per second, is determined by definition of secant line, which is defined:

(1)

Where:

, - Initial and final position of the object, measured in feet.

, - Initial and final times, measured in seconds.

If we know that and , then the average rate of change over the interval :

The average rate of change of the height over the interval [1, 2.5] is - 56 feet per second.

The answer is in the image 

The answer is in the image 

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

The answer is in the image 

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

30% of 420 are first year students

first year students = (30/100 )*420

=126 students

Student who are not in first year = 420-126

=294 students