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kondaur [170]
3 years ago
9

When surveyed 5 out of 32 students said they ride their bikes to school. Predict how many students in a school of 800 ride their

bikes to school.
And please show your work!
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
7 0

Answer:125 students

Step-by-step explanation:if 5 out of every 32 students bikes

5=32

X=800

800(5)=4000

4000/32=125

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Let II be the tangent plane to the graph of f(x, y) = 8 – 2x^2 – 3y^2 at the point (1, 2,-6). Let S, x² + y^2 + z = 4 be another
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Let F(x,y,z)=f(x,y)-z. The tangent plane to f(x,y) at (1, 2, -6) has equation

\nabla F(1,2,-6)\cdot(x-1,y-2,z+6)=0

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\nabla F(x,y,z)=(-4x,-6y,-1)\implies\nabla F(1,2,-6)=(-4,-12,-1)

Then the tangent plane has equation

(-4,-12,-1)\cdot(x-1,y-2,z+6)=0\implies -4(x-1)-12(y-2)-(z+6)=0\implies 4x+12y+z=22

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\nabla G(a,b,c)\cdot(x-a,y-b,z-c)=0

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\nabla G(x,y,z)=(-2x,-2y,-1)\implies \nabla G(a,b,c)=(-2a,-2b,-1)

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In order for this plane to be parallel to the previous plane, we need to have

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so the point we're looking for is (2, 6, -36).

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