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Wittaler [7]
2 years ago
6

Mia had $22. Then she started to receive $4 a week as an allowance. She plans to save all of her money for a bicycle and draws a

graph of her planned savings. Mia lets x represent the number of weeks she has received her allowance, and y represent her total amount of money. Which of the following ordered pairs is on Mia's graph?
Mathematics
1 answer:
saw5 [17]2 years ago
8 0

Answer:

first y then x because y represents 22 and x represents 4 a week.

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Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of
7nadin3 [17]

The equation of the cone should be z=\sqrt{x^2+y^2}. Parameterize S by

\vec s(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath+u\,\vec k

with 1\le u\le2 and 0\le v\le2\pi. Take the normal vector to S to be

\vec s_v\times\vec s_u=u\cos v\,\vec\imath+u\sin v\,\vec\jmath-u\,\vec k

Then the integral of \vec F across S is

\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=\int_0^{2\pi}\int_1^2(-u\cos v\,\vec\imath-u\sin v\,\vec\jmath+u^3\,\vec k)\cdot(u\cos v\,\vec\imath+u\sin v\,\vec\jmath-u\,\vec k)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^{2\pi}\int_1^2(-u^2-u^4)\,\mathrm du\,\mathrm dv

=\displaystyle-2\pi\int_1^2(u^2+u^4)\,\mathrm du\,\mathrm dv=\boxed{-\frac{256\pi}{15}}

3 0
2 years ago
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You planted 488 acres of corn last season.you sold all your corn:8,120 bushel in August and 64,100 bushels in September. What is
balandron [24]

148 is the answer because

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rounded is 148

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Factor 125x9 + 64. (5x3 – 4)(25x6 + 20x3 + 16) (5x3 – 4)(25x3 + 20x3 + 16) (5x3 + 4)(25x6 – 20x3 + 16) (5x3 + 4)(25x3 – 20x3 + 1
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(5x^3 + 4)(25x^6 - 20x3 +16)  remember factoring the cubes?
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2 years ago
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Yuri [45]

The area of circle is

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Answer: A_{\text{semicircular region}}=4.5\pi \approx 14.13 sq. m.

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2 years ago
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7:15-7:20 is 5 minutes
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