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Andru [333]
3 years ago
10

Show the relationship between the number of miles and the number of hours in the ratio 12 to 1

Mathematics
1 answer:
densk [106]3 years ago
3 0

Answer:

The person has a speed of 12 miles per hour.

Step-by-step explanation:

The ratio is 12 miles to 1 hour.

This means, that in every hour, the person can move 12 miles and has a speed of 12 miles per hour.

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Evaluate the surface integral ModifyingBelow Integral from nothing to nothing Integral from nothing to nothing With Upper S f (x
kykrilka [37]

Parameterize S by

\vec s(u,v)=6\cos u\sin v\,\vec\imath+6\sin u\sin v\,\vec\jmath+6\cos v\,\vec k

with 0\le u\le2\pi and 0\le v\le\frac\pi2. Take a normal vector to S,

\dfrac{\partial\vec s}{\partial v}\times\dfrac{\partial\vec s}{\partial u}=36\cos u\sin^2v\,\vec\imath+36\sin u\sin^2v\,\vec\jmath+36\cos v\sin v\,\vec k

which has norm

\left\|\dfrac{\partial\vec s}{\partial v}\times\dfrac{\partial\vec s}{\partial u}\right\|=36\sin v

Then the integral of f(x,y,z)=x^2+y^2 over S is

\displaystyle\iint_Sx^2+y^2\,\mathrm dS=\iint_S\left((6\cos u\sin v)^2+(6\sin u\sin v)^2\right)\left\|\frac{\partial\vec s}{\partial v}\times\frac{\partial\vec s}{\partial u}\right\|\,\mathrm du\,\mathrm dv

=\displaystyle36^2\int_0^{\pi/2}\int_0^{2\pi}\sin^3v\,\mathrm du\,\mathrm dv=\boxed{1728\pi}

6 0
3 years ago
there are two sizes of red and blue marbles in a box. Of the big marbles in the box, 45 are red and 3/4 are blue. The fraction o
nikklg [1K]
Big marbles = 45red 3/4 blue
Small marbles = 2/5 red    3/5 blue    24 more small blue mabrles than red marbles
What percentage of the marbles are big marbles

First of all lets working out the missing values: 
Big Marbles, 45 red, 3/4 blue. If 45 red is 1/4, then 135 (45*3) is 3/4.
Big Marbles, 45 red, 135 blue = 180 in total

For the small marbles, we do some logical thinking:
If red is 2/5, and blue is 3/5. And blue has 24 more than red.
That means 24 = 1/5
So in total there are 120 small marbles (24*5)
There are 180 big marbles 
We add these together, 120 + 180 = 300 marbles
180 / 300 = 0.6 = 60%
^ Divide the big marbles by the number of total marbles

60% of the marbles are big marbles

<u>Please vote my answer brainliest if I helped!</u>
3 0
3 years ago
Sally is planning the school picnic and needs to decide what food vendor to use. She asks 250 students whether they would rather
Luba_88 [7]

Answer:

0.18!

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Two cars start at a given point and travel in the same direction at average speeds of 45 miles per hour and 52 miles per hour (s
Citrus2011 [14]

Answer:

half apart

Step-by-step explanation:

hope it help you

7 0
3 years ago
Solve for C.<br> Thank you to whoever answers!!!!!!!!!!!!!!!!!!!
faltersainse [42]

Answer:

c=7

Step-by-step explanation:

How to solve your problem

8=−3+29

8=−3c+298=-3c+298=−3c+29

Solve

1

Subtract

29

292929

from both sides of the equation

8=−3+29

8=−3c+298=-3c+298=−3c+29

8−29=−3+29−29

8−29=−3c+29−298{\color{#c92786}{-29}}=-3c+29{\color{#c92786}{-29}}8−29=−3c+29−29

2

Simplify

3

Divide both sides of the equation by the same term

4

Simplify

Solution

=7

Hope this helps!

Have a great day!

-Lea

5 0
3 years ago
Read 2 more answers
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