5 MODELING REAL LIFE Lightning strikes Earth 1000 times in 10 seconds.
a. How many times does lightning strike in 12 seconds?
Lightning strikes
times in 12 seconds.
b. How many seconds does it take for lightning to strike 7250 times?
It takes
seconds for lightning to strike 7250 times.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation:

it would take 7/10 of an hour too fill the pool.

step-by-step explanation:

so, converting firstly the mixed fractions to improper fractions and then "adding".