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Margaret [11]
3 years ago
6

A torch and a battery cost £2.50 altogether. The torch costs £2.00 more than the battery.

Mathematics
1 answer:
Hitman42 [59]3 years ago
6 0

Answer:

1/5

Step-by-step explanation:

To find what fraction of the total price the battery is, we need to find out how much the battery alone is first.

Since the battery and torch together are £2.50 and the torch is £2.00, we can find the price of the battery by subtracting the total price to the price of the torch.

Battery Price = £2.50 - £2.00

Battery Price = £0.50

The fraction value of the torch is:

2.00 of 2.50 = 4/5

That then leaves us with:

0.50 of 2.50 = 1/5

To check we need to add the two fractions together.

1/5 + 4/5 = 5/5 or 1

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Calculus 3 chapter 16​
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\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 :

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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
a circus grower ships grapefruit in boxes of 10.one season the grower shipped 20400 boxes of grapefruit. how many grapefruit wer
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3 years ago
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Step-by-step explanation:

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