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Karolina [17]
4 years ago
7

Need help with number 40 plz. I was a little confused when I tried.

Mathematics
1 answer:
Olegator [25]4 years ago
7 0

You can rewrite the decimal as a fraction  and compare the two fractions.  The fractions need to have a common denominator.

You can change the fraction to a decimal and compare.  take the numerator and divide it by the denominator.  


Unless I recognize the decimal as a fraction right away, I find it much easier to write the fraction as a decimal and compare

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A rental car company charges $40 per day to rent a car and $0.08 for every
nikklg [1K]

Answer:

2000 miles.        

Step-by-step explanation:

If she has the car for  One day she can drive 2000 miles.

if she has the car for 2 days she can drive 1500

if she has the car for 3 days she can drive 1000

If she has the car for 4 days she can drive 500

8 0
2 years ago
Simplify the following <br> (-4r^5)(2r^8)
jolli1 [7]
Multiplying a - and a + equals a - , -8r18
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3 years ago
For breakfast, Clarissa can choose from oatmeal, cereal, French toast, or scrambled eggs. She thinks that if she selects a break
Leona [35]
No. If she selects a breakfast at random there is an equal chance she will select each item. 25% chance she will select oatmeal, 25% chance she will select cereal, 25% she will select french toast, and a 25% chance she will select scrambled eggs.
3 0
3 years ago
Read 2 more answers
If Jane's shirt cost 20$, but she has a 15% off coupon, what is her cost before tax
alina1380 [7]

Answer:

17

Step-by-step explanation:

The discount on the shirt is 15%

Discount = price* discount rate

               = 20 * 15%

               = 20 * .15

                =3

The new price is the previous price minus the discount

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8 0
3 years ago
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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
Tomtit [17]

Apparently my answer was unclear the first time?

The flux of <em>F</em> across <em>S</em> is given by the surface integral,

\displaystyle\iint_S\mathbf F\cdot\mathrm d\mathbf S

Parameterize <em>S</em> by the vector-valued function <em>r</em>(<em>u</em>, <em>v</em>) defined by

\mathbf r(u,v)=7\cos u\sin v\,\mathbf i+7\sin u\sin v\,\mathbf j+7\cos v\,\mathbf k

with 0 ≤ <em>u</em> ≤ π/2 and 0 ≤ <em>v</em> ≤ π/2. Then the surface element is

d<em>S</em> = <em>n</em> • d<em>S</em>

where <em>n</em> is the normal vector to the surface. Take it to be

\mathbf n=\dfrac{\frac{\partial\mathbf r}{\partial v}\times\frac{\partial\mathbf r}{\partial u}}{\left\|\frac{\partial\mathbf r}{\partial v}\times\frac{\partial\mathbf r}{\partial u}\right\|}

The surface element reduces to

\mathrm d\mathbf S=\mathbf n\,\mathrm dS=\mathbf n\left\|\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}\right\|\,\mathrm du\,\mathrm dv

\implies\mathbf n\,\mathrm dS=-49(\cos u\sin^2v\,\mathbf i+\sin u\sin^2v\,\mathbf j+\cos v\sin v\,\mathbf k)\,\mathrm du\,\mathrm dv

so that it points toward the origin at any point on <em>S</em>.

Then the integral with respect to <em>u</em> and <em>v</em> is

\displaystyle\iint_S\mathbf F\cdot\mathrm d\mathbf S=\int_0^{\pi/2}\int_0^{\pi/2}\mathbf F(x(u,v),y(u,v),z(u,v))\cdot\mathbf n\,\mathrm dS

=\displaystyle-49\int_0^{\pi/2}\int_0^{\pi/2}(7\cos u\sin v\,\mathbf i-7\cos v\,\mathbf j+7\sin u\sin v\,\mathbf )\cdot\mathbf n\,\mathrm dS

=-343\displaystyle\int_0^{\pi/2}\int_0^{\pi/2}\cos^2u\sin^3v\,\mathrm du\,\mathrm dv=\boxed{-\frac{343\pi}6}

4 0
3 years ago
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