If an object is propelled upward from a height of 48 feet at an initial velocity of 96 feet per second, then its height after t seconds is given by the equation h(t)= -16t2+96t +48, where height is in feet. After how many seconds will the object reach a height of 192 feet?

the number of seconds to reach the height is 3 seconds

Step-by-step explanation:

The computation of the seconds that reach the height is as follows;

Given that

h = -16t^2 + 96t + 48

here

H = 192 feet

So,

192 = -16t^2 + 96t + 48

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

Divide by -16

t^2 - 6t + 9 = 0

t^2 - 3t - 3t + 9

t(t - 3) - 3(t - 3)

t = 3 seconds

Hence, the number of seconds to reach the height is 3 seconds

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.