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aev [14]
3 years ago
13

How many 1/4can go in 1/8

Mathematics
2 answers:
Sati [7]3 years ago
4 0
Use keep, change, flip to divide 1/8÷1/4=1/8·4=1/2
Alecsey [184]3 years ago
4 0
1/8 ÷ 1/4 = 1/2 x 4 = 2/1

So 1/4 can go into 1/8  2 times

hope this was helpful
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38. Evaluate f (3x +4y)dx + (2x --3y)dy where C, a circle of radius two with center at the origin of the xy
lina2011 [118]

It looks like the integral is

\displaystyle \int_C (3x+4y)\,\mathrm dx + (2x-3y)\,\mathrm dy

where <em>C</em> is the circle of radius 2 centered at the origin.

You can compute the line integral directly by parameterizing <em>C</em>. Let <em>x</em> = 2 cos(<em>t</em> ) and <em>y</em> = 2 sin(<em>t</em> ), with 0 ≤ <em>t</em> ≤ 2<em>π</em>. Then

\displaystyle \int_C (3x+4y)\,\mathrm dx + (2x-3y)\,\mathrm dy = \int_0^{2\pi} \left((3x(t)+4y(t))\dfrac{\mathrm dx}{\mathrm dt} + (2x(t)-3y(t))\frac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt \\\\ = \int_0^{2\pi} \big((6\cos(t)+8\sin(t))(-2\sin(t)) + (4\cos(t)-6\sin(t))(2\cos(t))\big)\,\mathrm dt \\\\ = \int_0^{2\pi} (12\cos^2(t)-12\sin^2(t)-24\cos(t)\sin(t)-4)\,\mathrm dt \\\\ = 4 \int_0^{2\pi} (3\cos(2t)-3\sin(2t)-1)\,\mathrm dt = \boxed{-8\pi}

Another way to do this is by applying Green's theorem. The integrand doesn't have any singularities on <em>C</em> nor in the region bounded by <em>C</em>, so

\displaystyle \int_C (3x+4y)\,\mathrm dx + (2x-3y)\,\mathrm dy = \iint_D\frac{\partial(2x-3y)}{\partial x}-\frac{\partial(3x+4y)}{\partial y}\,\mathrm dx\,\mathrm dy = -2\iint_D\mathrm dx\,\mathrm dy

where <em>D</em> is the interior of <em>C</em>, i.e. the disk with radius 2 centered at the origin. But this integral is simply -2 times the area of the disk, so we get the same result: -2\times \pi\times2^2 = -8\pi.

3 0
3 years ago
3|2-x|=-6<br> Find X, plz help
Svetlanka [38]

Answer:

± x . x−3=±6 x - 3 = ± 6

Step-by-step explanation:

6 0
3 years ago
Which linear function is represented by a graph with a y-intercept of −16 ? y=−16x+1 y=16x−1 y=x−16 y=x+16
Romashka [77]

Answer:

y = x - 16

Step-by-step explanation:

The <em>y-intercept</em> is the value of the function when x = 0.

If f(x) = x - 16, f(0) = 0 - 16 = -16.

A is <em>wrong</em>, because f(0) = -16(0) + 1 = 0 + 1 = 1.

B is <em>wrong</em>, because f(0) =  16(0) + 1 = 0 + 1 = 1.

D is <em>wrong</em>, because f(0) =     0 + 16 = 16.

8 0
3 years ago
Find the oth term of the geometric sequence 5, -25, 125,
maxonik [38]

Answer:

-625

Step-by-step explanation:

Here we are basically multiplying each term by -5. So if you want two more terms, you would go like this...

5 × -5 = -25

-25 × -5 = 125

125 × -5 = -625

-625 × -5 = 3125

and so on!!!

Hope it helps and mark it as Brainliest if possible!!! Good Luck!!!

8 0
3 years ago
Pls help 100 points
d1i1m1o1n [39]
.27x5= 1.35
.46x9= 4.14
3.1x8= 24.8
4 0
2 years ago
Read 2 more answers
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