Answer:
- t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.
Explanation:
<u>1) Explanation of the model:</u>
- Given: h(t) = -16t² + 48t
- This is a quadratic function, so the height is modeled by a patabola.
- This means that it has a vertex which is the minimum or maximu, height. Since the coefficient of the leading (quadratic) term is negative, the parabola opens downward and the vertex is the maximum height of the soccer ball.
<u>2) Axis of symmetry:</u>
- The axis of symmetry of a parabola is the vertical line that passes through the vertex.
- In the general form of the parabola, ax² + bx + c, the axis of symmetry is given by x = -b/(2a)
- In our model a = - 16, and b = 48, so you get: t = - ( 48) / ( 2 × (-16) ) = 1.5
<u>Conclusion</u>: since t = 1.5 is the axys of symmetry, it means that at t = 1.5 the ball reachs its maximum height and that it will take the same additional time to fall back to the ground, whic is a tolal of 1. 5 s + 1.5 s = 3.0 s.
Answer: t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.
<span>12% = 12 percent = 12 parts out of 100 = 12/100</span>
<span>i hope thin helped
</span>
Answer:
The student is wrong.
Step-by-step explanation:
To divide exponents (or powers) with the same base, subtract the exponents. In the second step, the wrong result is calculated.
I don't know if that is 100 tvs or one 100 inch tv.
If it is 100 tvs then the person would have 301,800 dollars.
3,000 times 1000 plus 1800 equals= 301,800
If it is one 100 inch tv then the person would have 4,800 dollars
3,000+1800=4800.
Answer:
24/121
Step-by-step explanation:
The probability of an event happening is the ratio of the number of possible outcome to the number of total outcome.
The probability of not getting green then green
= rg or bg
Where r is the probability of getting red, g is the probability of green and b is the probability of blue.
= 4/11 * 3/11 + 4/11 * 3/11
= 12/121 + 12/121
= 24/121
