A water balloon is thrown out of a window 96 feet above the ground. The balloon is traveling downward at 16 feet per second initially. If h is the balloon’s height in feet after t seconds, then h = -16t2 -16t + 96,

It will take the balloon seconds to hit the ground.

3 seconds.

Step-by-step explanation:

Since we are figuring out when the water balloon will hit the ground, y will need to be equal to 0.

0 = - 16t² - 16t + 96

Now we simply factor the trinomial to find t.

0 = -16(t² - t - 6)

0 = (t - 3)(t + 2)

t - 3 = 0 ⇒ t = 3

t + 2 = 0 ⇒ t = -2

Since we are referring to time, we need to use the positive value. Therefore, the water balloon will take 3 seconds to hit the ground.

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

central angle of a triangle has the same measure as its intercepted arc.

step-by-step explanation: