A randomly generated password has four characters. Each character is either A, B, C, D, E or F or a number from 0 - 9. Each char
2 answers:
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Answer: The function is .
Explanation:
It is given that Michael Daniels, is standing on his own 10-yard line. He throws a pass toward the opposite goal line. The football is 2 yards above the ground when the quarterback lets it go.
It follows a parabolic path. Reaching its highest point, 30 yards above the ground. It is caught 50 yards downfield at a point 2 yards above the ground.
So, the initial point is (10,2) and the other point is (60,2).
The height function of a football represents a downward parabola. The maximum point of the function is called vertex. So the vertex is (h,30).
The two point (10,2) and (60,2) have same y-coordinate, therefore the function is maximum at the midpoint of both points.
So, the function is maximum at x=35. Hence the vertex is (35,30)
The standard form of the parabola is,
Where (h,k) is vertex and a is scale factor.
Since vertex is (35,30).
The initial point is (10,2).
So the function of height is.
The graph of the function is shown below.
Answer:
Each mixture has the same amount of salt for every 1 cup of water.
Step-by-step explanation:
It is provided that:
- Nia mixed 1 teaspoon salt with 3 cups warm water.
- Trey mixes 1 /2 teaspoon salt with one and 1/2 cups warm water.
The ratio of the number of teaspoons of salt to the number of cups of water is 1 : 3 in Nia's solution.
On dividing the amount of salt and the amount of water by 3, the ratio will be the same.
Thus 1 : 3 is equivalent to the ratio , which means that Nia's solution has
teaspoon of salt for every cup of water.
The ratio of the number of teaspoons of salt to the number of cups of water is in Trey’s solution.
On dividing the amount of salt and the amount of water by , the ratio will be the same.
So Trey’s ratio is also equal to the ratio .
Since each mixture has the same amount of salt for every 1 cup of water, they are equally salty and taste the same.