Considering the hang time equation, it is found that Player 1 jumped 0.68 feet higher than Player 2.
<h3>What is the hang time equation?</h3>
The hang-time of the ball for a player of jump h is given by:
The expression can be simplified as:
For a player that has a hang time of 0.9s, the jump is found as follows:
h = 3.24 feet.
For a player that has a hang time of 0.8s, the jump is found as follows:
h = 2.56 feet.
The difference is given by:
3.24 - 2.56 = 0.68 feet.
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Answer:
c.
Step-by-step explanation:
we estimate by rounding the factors to "easy numbers". that means numbers we can easily calculate even in our heads, and we get at just a ballpark number as result for orientation.
59 is much closer to 60 than to 50.
42 is much closer to 40 than to 50.
of course, we round to the closest "round numbers", so that the loss of precision through the rounding is as little as possible, so that the estimation still gives a much value as possible.
and the sum of the differences of the factors should be as close to 0 as possible.
so, 60×40 is the closest and therefore best estimation.
the sum of the factor differences is (+1 - 2) = -1.
compare to the real result :
59×42 = 2,478
answer a and b are by the way not correct :
50×40 = 2000 (and not 2500)
60×50 = 3000 (and not 3500)
FYI - in this case 50×50 = 2500 would be the closest estimation.
and the sum of the factor differences would be (-9 + 8) = -1.
normally, this wide "jumping" (-9 to +8) would make it only second choice.
Answers:
- Domain is (-4, 3]
- Range is (-5, 5]
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Explanation:
The domain is the set of allowed x input values, aka the set of all allowed x coordinates of the points. We see that . It might help to draw vertical lines through the endpoints until you reach the x axis. Note the open hole at x = -4 to indicate we do not include this as part of the domain (hence the lack of "or equal to" for the first inequality sign).
The interval then can be condensed into the shorthand form (-4, 3] which is the domain in interval notation.
It says: x is between -4 and 3. It can't equal -4 but it can equal 3.
So the use of parenthesis versus square brackets tells the reader which endpoint is included or not.
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The range describes all possible y outputs. We see that y = 5 is the largest it gets and y = -5 is the lower bound. It might help to draw horizontal lines through the endpoints until you reach the y axis. The open hole means -5 is not part of the range.
The range as a compound inequality is . This condenses into the shorthand of (-5, 5] which is the range in interval notation.
Verbally, the range is the set of y values such that y is between -5 and 5. It can't equal -5 but it can equal 5.
Answer: He gets $86.71 per square foot
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
<em>Area = 4,875 square feet
</em>
<em>Price = $445,000
</em>
First, we have to divide the price of the house by the area, to obtain the price per square foot:
Mathematically speaking:
$445,000 / 4,875 square feet = $91.2 per square foot (original price)
Now we have to multiply it by the offer in decimal form (95/100 =0.95)
$91.2 x 0.95 = 86.71 per square foot
He gets $86.71 per square foot.
Feel free to ask for more if needed or if you did not understand something.
Answer:
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