Rachel is a stunt driver, and she's escaping from a building that is about to explode! d(t) models rachel's remaining distance (in meters) as a function of time t (in seconds). d(t)=−38t+220. what is rachel's speed?

38 m/s

The formula tells you Rachael's distance to the exit decreases by 38 m for each passing second. Her speed is 38 m/s.

38 m/ s

Step-by-step explanation:

We are given that Rachel is a stunt driver , and she escaping from a building .

D(t) models Rachel's remaining  distance ( in meters) a s  function of times t ( in seconds)

D(t)=-38 t+220

We have to find the speed of Rachel's

We know that speed is a absolute value of velocity

We are finding velocity

Speed=38 m/s

Hence, speed of Rachel's=38 m/s

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.