Answer:
1059 ft
Step-by-step explanation:
For problems like these, we assume the acceleration due to gravity is -32 ft/s², so the velocity will decrease to zero in time t, where ...
0 = 256 -32t
32t = 256
t = (256 ft/s)/(32 ft/s² ) = 8 s
Since velocity is linearly decreasing from 256 ft/s to 0, its average value of 128 ft/s will serve to tell us the height attained.
Height attained is ...
35 ft + (128 ft/s)(8 s) = 35 ft + 1024 ft = 1059 ft
The maximum height attained by the projectile is 1059 feet.
Answer: D
<u>Step-by-step explanation:</u>
Inverse is when the x's and y's are swapped
<u>x | y </u> <u>Inverse</u>
-3 | 5 (5, -3)
-2 | -3 (-3, -2)
0 | 3 (3, 0)
1 | -5 (-5, 1) ← this matches choice D
2 | 6 (6, 2)
3 | 10 (10, 3)
Answer:
<h3>
For a given data set , the equation of the least squares regression line will always passes through <u>
the point (x,y)</u></h3>
Step-by-step explanation:
For a given data set , the equation of the least squares regression line will always passes through <u>the point (x,y)</u>
For :
- The least-squares regression line equation always passes through the point (x, y).
- The correlation "r" is the strength in relationship of a straight-line
- The square of the correlation,that is
, is the fraction of the variation in the values of y that is given by the least -squares regression of y changes on x.
<em>Here we are required to determine the initial monthly fee charged by the electric company.</em>
The initial fee charged by the electric company is; C = $10
To solve this, we need to evaluate the slope and intercepts of the equation of the straight line graph of the relation.
y = mx + c.
- where m = slope of the relation.
- and c = <em>intercept = the initial fee charged by the electric company</em>.
- y = <em>Monthly charge at each time</em>.
To find the slope;
By substituting m into the equation y = mx + c, alongside a pair of values of usage and monthly charge, we can obtain the intercept, c (i.e the initial fee charged).
Therefore, m = 0.12 , y = 82 and X = 600;
we then have;
Therefore, the initial fee charged by the electric company is; C = $10.
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