Answer:
84
Step-by-step explanation:
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Question is bit incorrect, Correct question is given below.
Liliana used 4 dark power crystals to raise 14 zombie soldiers. She wants to know how many zombie soldiers (z) she can raise with 10 dark power crystals. How many zombie soldiers can Liliana raise with 10 power crystals?
Answer:
Liliana can raise 35 zombie soldiers.
Step-by-step explanation:
Let the number of zombie soldiers raised by 10 dark power crystals be 'z'.
Zombie raised by 4 power crystals = 14
Since the number of zombie and power crystals are in direct proportion.
Therefore, we get
Multiply 10 on both the sides, we get
Hence, Liliana can raise 35 zombie soldiers.
Answer:
The maximum height of the ball is 380.25 feet in the air.
Step-by-step explanation:
The quadratic function:
Models the ball's height <em>h(t)</em>, in feet, above the ground <em>t</em> seconds after it was thrown.
We want to determine the maximum height of the ball.
Note that this is a quadratic function. Therefore, the maximum or minimum value will always occur at its vertex point.
Since our leading coefficient is leading, we have a maximum point. So to find the maximum height, we will find the vertex. The vertex of a quadratic equation is given by:
In this case, <em>a</em> = -16, <em>b</em> = 132, and <em>c</em> = 108. Find the <em>t-</em>coordinate of the vertex:
So, the maximum height occurs after 4.125 seconds of the ball being thrown.
To find the maximum height, substitute this value back into the equation. Thus:
The maximum height of the ball is 380.25 feet in the air.