The table shows the approximate height of a football after it is kicked. Tell whether the rates of change for successive time intervals are constant or variable
Answers
Answer: 36, 13, -10
The rates of change are variable.
Step-by-step explanation:
The rates of changes of the heights of a football after it is kicked with respect to the time for this case are 34, 12 and -10 . The rates of changes are variable.
What is a variable and a constant?A variable is a quantity that changes in its value, but a constant remains fixed.
How to measure the rate of change of something as some other value changes?Suppose that we have to measure the rate of change of y as x changes, then we have:
[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
where we have
[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]
Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.
(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)
For this case, we get the rates as:
For rate between first two values,
[tex]Rate_1 = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{17-0}{0.5-0} = 34[/tex]
For rate between second two values,
[tex]Rate_2 = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{30-17}{1.5-0.5} = 13[/tex]
For rate between third two values,
[tex]Rate_3 = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{25-30}{2-1.5} = -10[/tex]
We see that the rate of change of height of the football considered with respect to time is changing, so its a variable.
Thus, the rates of changes of the heights of a football after it is kicked with respect to the time for this case are 34, 12 and -10 . The rates of changes are variable.
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Step-by-step explanation:
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Step-by-step explanation:
Find What is the decrease percentage for 350 to 200?
Step by step workout
step 1 Address the formula, input parameters & values
Formula :
Difference
Initial Value
x 100 = Percent Decrease (%)
Initial Value X = 350 & New Value Y = 200
Decrease = (X - Y)
(350 - 200)
350
x 100 = ?
step 2 Apply the values in the percentage decrease {(X - Y)/X x 100} formula
=(350 - 200)
350
x 100
=150
350
x 100
= 42.8571%
(350 - 200)
350
x 100 = 42.8571%
The percentage reduction can be written as 57.1429% of 350.
42.8571 percent decrease (%↓) or reduction from 350 is 200.
If you round it you get 43%
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Answers
Answer:
How many five-card hands dealt from a standard deck of 52 playing cards are all of the same suit? If a random hand is dealt, what is the probability that it will have this property?
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Answer:
0.1965%
Explanation:
Because 13/52 are the same suit, we find the probability of 5 cards of the same suit (without replacemennt).
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation;
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Answers
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