Answer:
Volume of 3% alcohol = 80 ml
Volume of 8% alcohol = 120 ml
Step-by-step explanation:
Final volume of 6% alcohol solution = 200 ml
Let the volume of 3% alcohol volume = a ml
Therefore, volume of 8% alcohol = (200 - a) ml
Equation for the given situation will be,
3a + 8(200 - a) = 6×200
3a + 1600 - 8a = 1200
1600 - 5a = 1200
5a = 400
a = 80 ml
Therefore, volume of 3% alcohol to be used = 80 ml
And volume of 8% alcohol to be used = (200 - 80) = 120 ml
9) x= -17
10) n=0
11) x=-3
12) x=-21
32.5* +16* =48.5*
Hopes it's help
Answer:
t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.
Step-by-step explanation:
To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.
h(t) = -16t² + 96t
= -16(t² - 6t)
= -16(t² - 6t + 9) - (-16) * 9
= -16(t - 3)² + 144
Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum. We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground. The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".
