gracesommerville gracesommerville
  • 01-03-2020
  • Mathematics
contestada

The radius r(cm) of a circle is related
to time t(seconds) by the equation
r=0.4t + 1.5.
(a) Calculate the initial value of the
radius.
(b) Find the rate of change of r.

Respuesta :

amna04352
amna04352 amna04352
  • 01-03-2020

Answer:

a) 1.5cm

b) dr/dt = 0.4cm/sec

Step-by-step explanation:

r = 0.4t + 1.5

Initial is at t = 0,

r = 1.5 cm

b)

dr/dt = 0.4cm/sec

Slope = change in r/change in t

0.4 is the rate of change in r with respect to time

Alternately,

At t = 0, r = 1.5

At t = 1, r = (0.4)(1) + 1.5 = 1.9

(1.9-1.5)/(1-0) = change in r/change in time

= 0.4 cm/sec

Answer Link

Otras preguntas

4. Jenny got a job at the packaging plant for Lennox. Which sentence uses the word plant in the same way it is used above? Eucalyptus is a plant that is mainly
Where is the Water table?
If 455-mL of 6.0 m HNO3 is used to make a 2.5 L dilution what is the molarity of the dilution?
Juanita has a pail with capacity of 96 fluid ounces. How many pints will the pail hold ?
Which of the following Greek roots most closely means "people"? A= Dem B. Hypno C. Hydro D. Derm
Why did Congress pass the Indian Removal Act in 1830? A. to move eastern Indian tribes to lands west of the Mississippi B. to move Indian tribes away from the c
which event led most directly to the independence movement in Latin America? A. Simon Bolivar's death B. Napoleon Bonaparte's installation of his brother on the
Which additional words in the sentence should be capitalized? Which is in the month of may, labor day or memorial day? Choose all answers that are correct. A.
what is the percentage of 0.08
Turn 0.46 into a fraction