13.
1 answer:
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Answer:
Hence, option: B is correct (11.02 seconds)
Step-by-step explanation:
Spencer hits a tennis ball past his opponent. The height of the tennis ball, in feet, is modeled by the equation h(t) = –0.075t2 + 0.6t + 2.5, where t is the time since the tennis ball was hit, measured in seconds.
Now we are asked:
How long does it take for the ball to reach the ground?
i.e. we have to find the value of t such that height is zero i.e. h(t)=0.
or
i.e. we need to find the roots of the above quadratic equation.
on solving the equation we get two roots as:
t≈ -3.02377 and t≈11.0238
As time can't be negative; hence we will consider the value of t as t≈11.0238.
Hence it takes 11.02 seconds for the ball to reach the ground.
Hence option B is correct (11.02 seconds).
Answer: Quantity of Dark Chocolate used = 15 lb
Quantity of Milk Chocolate used = 35 lb
Step-by-step explanation:
Let x = Quantity of Dark Chocolate.
y = Quantity of Milk Chocolate.
As per given , we have the following system of equations:
Multiply equation (1) by 2 , we get
Eliminate equation (3) from equation (2) , we get
Put x= 15 in (1) , we get
⇒ y=35
Therefore , Quantity of Dark Chocolate used = 15 lb
Quantity of Milk Chocolate used = 35 lb