a stone is thrown downward with an intitial velocity of 29.5 m/sec will travel a distance of a meters, where s(t) = 4.9t^2 + 29.
1 answer:
Answer:
t = 9 s
Step-by-step explanation:
A stone is thrown downward with an intitial velocity of 29.5 m/sec will travel a distance of a meters, where
We need to find when the stone will hit the ground. It means when s(t) = 0. So,
So, the stone will take 9 seconds to hit the ground. Hence, this is the required solution.
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Hi there!
Let r be the number of matches that Rebecca's team won.
We know that Katheryn's team won 9 more matches than Rebecca's team, and we know that Katheryn's team won 52 matches.
Using this given information, we can create the following equation.
If you wish to solve this, we can subtract both sides by 9 to get the following value for r.
Have an awesome day! :)
~collinjun0827, Junior Moderator
Let r be the number of matches that Rebecca's team won.
We know that Katheryn's team won 9 more matches than Rebecca's team, and we know that Katheryn's team won 52 matches.
Using this given information, we can create the following equation.
If you wish to solve this, we can subtract both sides by 9 to get the following value for r.
Have an awesome day! :)
~collinjun0827, Junior Moderator
ŷ= 1.795x +2.195 is the equation for the line of best fit for the data
<h3>How to use regression to find the equation for the line of best fit?</h3>Consider the table in the image attached:
∑x = 29, ∑y = 74, ∑x²= 125, ∑xy = 288, n = 10 (number data points)
The linear regression equation is of the form:
ŷ = ax + b
where a and b are the slope and y-intercept respectively
a = ( n∑xy -(∑x)(∑y) ) / ( n∑x² - (∑x)² )
a = (10×288 - 29×74) / ( 10×125-29² )
= 2880-2146 / 1250-841
= 734/409
= 1.795
x' = ∑x/n
x' = 29/10 = 2.9
y' = ∑y/n
y' = 74/10 = 7.4
b = y' - ax'
b = 7.4 - 1.795×2.9
= 7.4 - 5.2055
= 2.195
ŷ = ax + b
ŷ= 1.795x +2.195
Therefore, the equation for the line of best fit for the data is ŷ= 1.795x +2.195
Learn more about regression equation on:
#SPJ1
