A criminologist developed a test to measure recidivism, where low scores indicated a lower probability of repeating the undesira
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Answer:
60 tiles.
Step-by-step explanation:
$15.00 per tile plus a flat fee of $378.00 that charges Tile All.
Therefore, for x number of tiles, the total cost of installation will be
C = 378 + 15x ........... (1)
Again, $14.50 per tiles plus a flat fee of $550.00 that charges Kitchen Plus. Amanda has at Kitchen Plus, a 10% discount coupon.
Therefore, for x tiles installation the charges will be
.......... (2) (Answer)
Now, if for x number of tiles both the company charges the same, then
378 + 15x = 495 + 13.05x (From equations (1) and (2)}
⇒ 1.95x = 117
⇒ x = 60 tiles. (Answer)
(a) You can parameterize <em>C</em> by the vector function
<em>r</em><em>(t)</em> = (<em>x(t)</em>, <em>y(t)</em> ) = <em>P</em> (1 - <em>t </em>) + <em>Q</em> <em>t</em> = (2 - 2<em>t</em>, 7<em>t</em> )
where 0 ≤ <em>t</em> ≤ 1.
(b) From the above parameterization, we have
<em>r</em><em>'(t)</em> = (-2, 7) ==> ||<em>r</em><em>'(t)</em>|| = √((-2)² + 7²) = √53
Then
d<em>s</em> = √53 d<em>t</em>
and the line integral is
(c) The remaining integral is pretty simple,