A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function r(t) = 3t, where t represents time in minutes and r represents how far the paint is spreading.

The flowing paint is creating a circular pattern on the tile. The area of the pattern can be expressed as A(r) = πr2.

Part A: Find the area of the circle of spilled paint as a function of time, or A[r(t)]. Show your work.

Part B: How large is the area of spilled paint after 10 minutes? You may use 3.14 to approximate π in this problem.

5 0

3 years ago

Fantastic pins Bowling Alley charges $2.50 for shoe rental plus $3.25 for each game. Write an expression representing the cost t

harina [27]

X= 2.50g
have a great day

6 0

3 years ago

Find five ordered pairs to the equation y= - 2/3x + 1. Then determine its graph.

svet-max [94.6K]

The ordered pairs of the equation are $(-2,\frac{7}{3})$ , $(-1,\frac{5}{3} )$ , $(0,1)$ , $(1,\frac{1}{3})$ and $(2,-\frac{1}{3} )$

Explanation:

The given equation is $y=-\frac{2}{3} x+1$

We need to find the five ordered pairs to the equation and also to determine its graph.

First, we shall find the ordered pairs by substituting the values for x in the equation.

For $x=-2$ , we have,

$y=-\frac{2}{3} (-2)+1$

$y=\frac{4}{3}+1$

$y=\frac{7}{3}$

Thus, the ordered pair is $(-2,\frac{7}{3})$

For $x=-1$ ,

$y=-\frac{2}{3} (-1)+1$

$=\frac{2}{3} +1$

$=\frac{5}{3}$

Thus, the ordered pair is $(-1,\frac{5}{3} )$

For $x=0$ ,

$y=-\frac{2}{3} (0)+1$

$=1$

Thus, the ordered pair is $(0,1)$

For $x=1$ ,

$y=-\frac{2}{3} (1)+1$

$=-\frac{2}{3} +1$

$=\frac{1}{3}$

Thus, the ordered pair is $(1,\frac{1}{3})$

For $x=2$ ,

$y=-\frac{2}{3} (2)+1$

$=-\frac{4}{3} +1$

$=-\frac{1}{3}$

Thus, the ordered pair is $(2,-\frac{1}{3} )$

Hence, the ordered pairs are $(-2,\frac{7}{3})$ , $(-1,\frac{5}{3} )$ , $(0,1)$ , $(1,\frac{1}{3})$ and $(2,-\frac{1}{3} )$

The graph of the equation can be determined by plotting these coordinates in the graph.

The image of the graph of the equation is attached below:

3 0

3 years ago