Lisa is sitting on the dock beside the lake she drops a rock from her hand into the lake after the rock hits the surface of the lake the rocks distance from the lake surface changed at a rate of -3 in./s if Lisa holds her hand 3 feet above the lake surface how hot how far from Lisa's hand is the rock five seconds after hits the surface

4.2495 feets

Step-by-step explanation:

Given the following :

Rate of change (speed) when rock hits the lake surface = - 3in/s

Distance or depth after 5 seconds :

Distance = rate of change * time

Distance = (- 3 in/s × 5) = - 15 inches

1 inch = 0.0833 feet

15 inches = (-15 * 0.0833) = - 1.2495 feets

Distance between Lisa's hand and lake surface = 3 feets :

Distance between Lisa's hand and rock after 5 seconds :

(3 feets + 1.2495 feets) = 4.2495 feets

for a it would be 24 children.

for b i don't understand the question. is it saying for each individual person they pick 5 reds to 7 greens or is it the whole group. clarify and i hope this can you.

step-by-step explanation:

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages