The function h(t) = -16t- + 96t + 6 represents an object projected into the air from a cannon. The maximum
height reached by the object is 150 feet.

3 seconds

Step-by-step explanation:

Maximum height=150

150=-16t^2+96t+6

-16t^2+96t-144=0

-16(t^2-6t+9)=0

-16(t-3)^2=0

t=3 seconds

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.