(a) The radius of the circle is the distance the wave travels since it first formed, so if <em>g(t)</em> is the radius of the circle at time <em>t</em>, then it changes at a rate according to
d<em>g</em>/d<em>t</em> = 60 cm/s
Integrate both sides with respect to <em>t</em> to solve for <em>g</em> :
∫ d<em>g</em>/d<em>t</em> d<em>t</em> = ∫ (60 cm/s) d<em>t</em>
<em>g(t)</em> = (60 cm/s) <em>t</em> + <em>C</em>
but <em>C</em> = 0 since the radius at <em>t</em> = 0 must be 0.
<em>g(t)</em> = (60 cm/s) <em>t</em>
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(b) The area of any circle with radius <em>r</em> is <em>πr</em> ². So
<em>f(r)</em> = <em>πr</em> ²
(c) The composition of <em>f</em> with <em>g</em> represents the area of water encircled by the wave at time <em>t</em> :
<em>(f</em> o <em>g)(t)</em> = <em>f(g(t))</em> = <em>π</em> <em>g(t) </em>²
Answer:
$4
Step-by-step explanation:
Because we know that Nancy bought a drink for 2 dollars, and we are just trying to find the cost of the candy bars, we can subtract 2 dollars from the drink from the total cost:
38 - 2 = 36
Now, the 9 candy bars cost 36 dollars, so to find the individual price of each candy bar, we divide 36 by 9:
36 / 9 = 4
So, each candy bar costs 4 dollars
Hope this helps :)
weekly salary is 650$
the number of days in a week is 7.
7 days salary is 650$
one day salary is 650/7
the number of days in semi month is 30/2 = 15 days
so the salary of semi month is 15*650/7 = 1392.85 $
so the salary of semi month is 1392.85 $.
Whats the equation to the question
