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Temka [501]
3 years ago
15

Me Sidney rented a car for a day. The rental fee consists of flat rate of $19.99 plus 0.21 for an additional mile. For how how m

any miles did mr. Sidney drove the car if he paid 52.54 for the car rental
Mathematics
1 answer:
ipn [44]3 years ago
4 0

19.99+0.21x=52.54

0.21x=32.55

x=155

Mr. Sidney drove 155 miles

Hope Your Thanksgiving Goes Well, Here's A Turkey


-TheKoolKid1O1

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Why is the - sin of x the same as the sin of -x?
Neko [114]

Answer:

Sine is an odd function and presents positive values in the 1st and 2nd quadrants and negative values in the 3rd and 4th quadrants.

Step-by-step explanation:

-sin(x) = sin(-x)

This property is valid because the sine trigonometric function presents positive values in the first two quadrants and negative values in the third and fourth quadrants. The sine function is an odd function with symmetry with respect to the origin, which means that sin(x) and sin(-x) will always present opposite signs.

3 0
3 years ago
Find a − b when a = −7 and b = 11.
Mariana [72]

Answer:

-18

Explanation:

a - b

a = -7

b = 11

Insert -7 for 'a' and 11 for 'b'

-7 - 11

= -18

3 0
3 years ago
Evelyn drinks A glass of water a day which is 56 glasses of water in a week how many glasses of water dish does she drink in a y
Ede4ka [16]

Answer:

2912

Step-by-step explanation:

Your question wording is a little confusing but here's the steps:

She drinks 56 glasses of water each week.

There's 52 weeks in 1 year.

56 times 52 = 2912.

3 0
2 years ago
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
Brainly stinks<br> Brainly sucks
Alex777 [14]

Answer:

so y.u on it lollllll

Step-by-step explanation:

bro you hat brainly for wut

8 0
2 years ago
Read 2 more answers
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