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mash [69]
3 years ago
10

The graph shows the relationship between the number of pizzas and the number of people the pizzas will feed at a party How

Mathematics
2 answers:
Goshia [24]3 years ago
7 0

Answer:

12 homie

Step-by-step explanation:

klio [65]3 years ago
5 0

Answer:

10

Step-by-step explanation:

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Maria had 4 full cement, blocks & one that was 5/9 the normal size, If each full block weight 3 8/9 pounds, What is the Weig
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3 years ago
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<img src="https://tex.z-dn.net/?f=%20%5Crm%20%5Cint_%7B0%7D%5E%7B%20%20%5Cpi%20%7D%20%5Ccos%28%20%5Ccot%28x%29%20%20%20%20-%20%2
Nikolay [14]

Replace x with π/2 - x to get the equivalent integral

\displaystyle \int_{-\frac\pi2}^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx

but the integrand is even, so this is really just

\displaystyle 2 \int_0^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx

Substitute x = 1/2 arccot(u/2), which transforms the integral to

\displaystyle 2 \int_{-\infty}^\infty \frac{\cos(u)}{u^2+4} \, du

There are lots of ways to compute this. What I did was to consider the complex contour integral

\displaystyle \int_\gamma \frac{e^{iz}}{z^2+4} \, dz

where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be

\displaystyle \left|\int_{z=Re^{i0}}^{z=Re^{i\pi}} f(z) \, dz\right| \le \frac{\pi R}{|R^2-4|}

which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit

\displaystyle \int_{-\infty}^\infty \frac{\cos(x)}{x^2+4} \, dx = 2\pi i {} \mathrm{Res}\left(\frac{e^{iz}}{z^2+4},z=2i\right) = \frac\pi{2e^2}

and it follows that

\displaystyle \int_0^\pi \cos(\cot(x)-\tan(x)) \, dx = \boxed{\frac\pi{e^2}}

7 0
2 years ago
a car dealer sells suvs and sedans at a ratio of 3:2 each month. if the dealer reports selling 95 cars in a month, how many of e
san4es73 [151]
It would be 57 suvs and 38 sedans sold to be a rational of 3:2
6 0
3 years ago
Roger's flight took off at 9:27 a.m. The flight is scheduled to land at 1:05 p.m. If the flight lands on schedule, how long is t
arsen [322]
So Roger flight left at exactly 9.27:am and it will land at 1:05pm

So count on to 12:27 will be 3 hours and subtract from 5 because 65 is 05 3hours and 38mins
5 0
3 years ago
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