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3 years ago

Write an algebraic equation or expression or the word phrase 25y=5

Mathematics

2 answers:

sdas [7]3 years ago

6 0

The product of 25 and y is equal to 5

lidiya [134]3 years ago

5 0

25 times a letter Y = a number 5

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Which of the following is an odd function?

madreJ [45]

Answer:

Step-by-step explanation:

f(x) = x is an odd function; the power of x is x^1.

f(x) = -x is also an odd function.

7 0

3 years ago

PLEASE HELP ME!!!!

Contact [7]

The equation of a line that passes through (x1,y1) and has a slope of m is
y-y1=m(x-x1)

find slope

slope between (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
given
(-3,2) and (2,1)
slope=(1-2)/(2-(-3))=(-1)/(2+5)=-1/5

pikc a point
if we pick (-3,2)
(x1,y1)
x1=-3
y1=2

y-2=-1/5(x-(-3))
y-2=-1/5(x+3)
that is D

5 0

3 years ago

A convenience store sells two brands of orange juice. bran a contains 8 fluld ounces and costs $1.28. brand b contains 12 fluld

SIZIF [17.4K]

The 12 fluid ounces is cheaper

5 0

3 years ago

What's the flux of the vector field F(x,y,z) = (e^-y) i - (y) j + (x sinz) k across σ with outward orientation where σ is the po

emmasim [6.3K]

$\displaystyle\iint_\sigma\mathbf F\cdot\mathrm dS$
$\displaystyle\iint_\sigma\mathbf F\cdot\mathbf n\,\mathrm dS$
$\displaystyle\iint_\sigma\mathbf F\cdot\left(\frac{\mathbf r_u\times\mathbf r_v}{\|\mathbf r_u\times\mathbf r_v\|}\right)\|\mathbf r_u\times\mathbf r_v\|\,\mathrm dA$
$\displaystyle\iint_\sigma\mathbf F\cdot(\mathbf r_u\times\mathbf r_v)\,\mathrm dA$

Since you want to find flux in the outward direction, you need to make sure that the normal vector points that way. You have

$\mathbf r_u=\dfrac\partial{\partial u}[2\cos v\,\mathbf i+\sin v\,\mathbf j+u\,\mathbf k]=\mathbf k$
$\mathbf r_v=\dfrac\partial{\partial v}[2\cos v\,\mathbf i+\sin v\,\mathbf j+u\,\mathbf k]=-2\sin v\,\mathbf i+\cos v\,\mathbf j$

The cross product is

$\mathbf r_u\times\mathbf r_v=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\0&0&1\\-2\sin v&\cos v&0\end{vmatrix}=-\cos v\,\mathbf i-2\sin v\,\mathbf j$

So, the flux is given by

$\displaystyle\iint_\sigma(e^{-\sin v}\,\mathbf i-\sin v\,\mathbf j+2\cos v\sin u\,\mathbf k)\cdot(\cos v\,\mathbf i+2\sin v\,\mathbf j)\,\mathrm dA$
$\displaystyle\int_0^5\int_0^{2\pi}(-e^{-\sin v}\cos v+2\sin^2v)\,\mathrm dv\,\mathrm du$
$\displaystyle-5\int_0^{2\pi}e^{-\sin v}\cos v\,\mathrm dv+10\int_0^{2\pi}\sin^2v\,\mathrm dv$
$\displaystyle5\int_0^0e^t\,\mathrm dt+5\int_0^{2\pi}(1-\cos2v)\,\mathrm dv$

where $t=-\sin v$ in the first integral, and the half-angle identity is used in the second. The first integral vanishes, leaving you with

$\displaystyle5\int_0^{2\pi}(1-\cos2v)\,\mathrm dv=5\left(v-\dfrac12\sin2v\right)\bigg|_{v=0}^{v=2\pi}=10\pi$

5 0

3 years ago

Henry buys a softball for 16 dollars plus a 9% tax Ella buys a pair of shoes for 17 dollars plus a 9% tax. Enter the difference

Gwar [14]

Answer:

$1.09

Step-by-step explanation:

16*0.09 = 1.44, 16 + 1.44 = 17.44 (Henry's total cost)

17*0.09 = 1.53, 17 + 1.53 = 18.53 (Ella's total cost)

To find the difference we subtract 18.53-17.44 = 1.09 and so the difference including tax is $1.09

8 0

3 years ago