The order of magnitude for total attended for a high school football team is 3
<h3>How to determine the
order of magnitude?</h3>
The given parameters are:
Average number of fan = 1000
Number of home games = 5
The total number of fans in the 5 games is:
Total number of fans = Average number of fan * Number of home games
Substitute known values in the above equation
Total number of fans = 1000 * 5
Express 1000 as 10^3
Total number of fans = 10^3 * 5
Rewrite the equation as:
Total number of fans = 5 * 10^3
The power of 10 represents the order of magnitude
Since the power of 10 is 3, the order of magnitude is 3
Hence, the order of magnitude for total attended for a high school football team that averages 1,000 fans for each of its 5 home games is 3
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Answer:
The ball reached its maximum height of (
) in (
).
Step-by-step explanation:
This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.
The first step in completing the square is to group the quadratic and linear term:
Now factor out the coefficient of the quadratic term:
After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:
Now take the balancing term out of the parenthesis:
Simplify:
The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:
Answer:
if m<GFD= 67°, then m<GFE is 113°
We write this like this:
49=35%x
and we want to find the x.
let's invert the sides:
35%x=49.
35 is equal to 0.35
0.35*x=49
and now we only divide both sides by 0.35:
x=140
so the answer is 140.
(aternatively we can do it through fractions:
35/100*x=49
divide both sides by 7:
5/100*x=7
simplify the first fraction
1/20*x=7
and multiply by 20:
x=140
0.1875 you must divide 3 by 16 the numerator by the denominator
