A ball is thrown into the air with an initial velocity of 22 meters per second.The quadratic function h(t)=-4.9t2+22t+5.5represe
1 answer:
<h3><u>Question:</u></h3>
A ball is thrown into the air with an initial velocity of 22 meters per second.
The quadratic function h(t) = -4.9t2 + 22t + 5.5 represents the height of
the ball above the ground, in meters, with respect to time t, in seconds.
Determine h(3) and explain what it represents.
<h3><u>Answer:</u></h3>h(3) = 27.4
h(3) = 27.4 means that the ball throw into the air with an initial velocity of 22 meters per second is 27.4 meters above the ground after 3 seconds.
<h3><u>Solution:</u></h3>The quadratic equation that represents the height of the ball above the ground, h(t), in meters, with respect to time, t, in seconds is given by:
To find h(3), substitute t = 3 into given quadratic equation and solve for it
Plug in t = 3 in h(t)
Thus h(3) = 27.4
h(3) = 27.4 means that the ball throw into the air with an initial velocity of 22 meters per second is 27.4 meters above the ground after 3 seconds.
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We need to find if y varies directly with x from the values given in the table.
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where k is constant of proportionality
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if x = -20 and y=45 then k is:
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if x = 1 and y=-2.25 then k is:
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if x = 12 and y=-27 then k is:
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Keywords: Direct Relationship
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Answer:
The 80% confidence interval for the the population mean nitrate concentration is (0.144, 0.186).
Critical value t=1.318
Step-by-step explanation:
We have to calculate a 80% confidence interval for the mean.
The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.
The sample mean is M=0.165.
The sample size is N=25.
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The inequality gives the least number of buses, b, needed for the trip. The least number of buses is 9
<u>Solution:</u>
Given that, There are 412 students and 20 teachers taking buses on a trip to a museum.
Each bus can seat a maximum of 48.
We have to find which inequality gives the least number of buses, b, needed for the trip?
Now, there are 412 students and 20 teachers, so in total there are 412 + 20 = 432 travelers
<em><u>The number of buses required “b” is given as:</u></em>
Number of buses required ≥ 9 buses.
But least number will be 9 from the above inequality.
Hence, the inequality gives least count of busses and least count is 9.