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sammy [17]
3 years ago
10

3 Write the statement "10 is 7 less than the product of 5 and a" as a mathematical equation.

Mathematics
1 answer:
-Dominant- [34]3 years ago
7 0
The answer is 5a(10-7)
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Stella owns 120,000 acres of land. She plans to divide 30% of the land to be farm land. How much land does she have that is NOT
valentina_108 [34]

Answer:

40,000

Step-by-step explanation:120,000 divided by 30% is 40,00 because 120,000 divide by 30 is 40,000

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4 years ago
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Which of the following functions will have a graph with an axis of symmetry at x=1 and an intercept at the origin?
zlopas [31]
I think the correct answer is b
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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
Find the area of the shape shown below.
cricket20 [7]

Answer:

18

Step-by-step explanation:

3+9=12

12/2=6

6x3=18

3 0
3 years ago
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2.A photographer needs a frame for an 11 x 14 Inch picture, such that the total area is 180 in2. Calculate the width of the fram
Westkost [7]
A is the answerrrrr!!!!!!!!!
3 0
3 years ago
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