Answer:
64
Step-by-step explanation:
<em>[using calculus] </em>When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have
, which equals zero when
. The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.
<em>[without calculus] </em>This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.
Answer:
The cost would be 22.75
Step-by-step explanation:
To find the cost of each topping, we simply take the excess cost and divide it by the number of toppings. To find the excess cost, take the new cost and subtract the original cost.
17.50 - 14.00 = 3.50
Now divide that by the amount of toppings.
3.50/2 = 1.75
Now we can multiply the new number of toppings by that amount and add the cost of the pizza.
5(1.75) + 14.00
8.75 + 14.00
22.75
Answer: lenght x widthx height
Step-by-step explanation: