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frosja888 [35]
3 years ago
8

What is the constant of variation for the inverse variation? xy = 8

Mathematics
1 answer:
Advocard [28]3 years ago
6 0

Answer:

  8

Step-by-step explanation:

The constant of variation is the constant in the equation: 8.

___

The equation can be rewritten to be

  y = 8/x

Compared to the generic equation for inverse variation, ...

  y = k/x

we see that the constant of variation (k) is the constant in the given equation, 8.

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Sherry brings two containers of cookies to a party. Each container contains 6 cookies. Sally shows up with a dozen cookies. Sand
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Answer:

22 cookies

Step-by-step explanation:

A dozen items means 12 number of items.

Number of cookies brought by Sherry = No. of containers multiplied by number of cookies in one container

= 2 \times 6 = 12

Number of cookies brought by Sally = A dozen cookies = 12

Number of cookies brought by Sandy = 2

Number of cookies brought by Sherry, Sally and Sandy together = 12 + 12+2 = 26

Total number of cookies to be brought = 4 dozen = 48 cookies

Number of cookies to be brought by Harry = Total number of cookies to be brought - Number of cookies brought by Sherry, Sally and Sandy together

48 - 26 = <em>22 cookies</em>

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2 years ago
Calculus 3 chapter 16​
o-na [289]

Evaluate \vec F at \vec r :

\vec F(x,y,z) = x\,\vec\imath + y\,\vec\jmath + xy\,\vec k \\\\ \implies \vec F(\vec r(t)) = \vec F(\cos(t), \sin(t), t) = \cos(t)\,\vec\imath + \sin(t)\,\vec\jmath + \sin(t)\cos(t)\,\vec k

Compute the line element d\vec r :

d\vec r = \dfrac{d\vec r}{dt} dt = \left(-\sin(t)\,\vec\imath+\cos(t)\,\vec\jmath+\vec k\bigg) \, dt

Simplifying the integrand, we have

\vec F\cdot d\vec r = \bigg(-\cos(t)\sin(t) + \sin(t)\cos(t) + \sin(t)\cos(t)\bigg) \, dt \\ ~~~~~~~~= \sin(t)\cos(t) \, dt \\\\ ~~~~~~~~= \dfrac12 \sin(2t) \, dt

Then the line integral evaluates to

\displaystyle \int_C \vec F\cdot d\vec r = \int_0^\pi \frac12\sin(2t)\,dt \\\\ ~~~~~~~~ = -\frac14\cos(2t) \bigg|_{t=0}^{t=\pi} \\\\ ~~~~~~~~ = -\frac14(\cos(2\pi)-\cos(0)) = \boxed{0}

3 0
1 year ago
Find the midpoint of points A (5,-6) and B(2,0) graphically​
netineya [11]
I think its (3.5, -3)
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2 years ago
Denise is helping her dad build a clubhouse that is shaped like a rectangular prism. The height will be 8 ft. and the length wil
Anna35 [415]

Answer: 6=c.

Step-by-step explanation:

First multiply 8 times 6 and get 48 then you divide 48 from 288 and get 6.

3 0
3 years ago
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