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3 years ago

PLEASE PLEASE HELP ME: Write 5/3 as a Decimal.

Mathematics

1 answer:

Anon25 [30]3 years ago

7 0

Answer:

5/3 = 1.6666666667

or 1.7 rounded to the nearest tenth

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Write an equation for the following graph

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2 years ago

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3 years ago

4^3-(84÷14)^2<br><br> Please help! Show work too! thank you!! <3

ANEK [815]

Answer:

$28$

Step-by-step explanation:

$4^{3}-(84\div14)^{2}$

Calculate 4 to the power of 3 = 64

$64-(\frac{84}{14} )^{2}$

Divide 84 by 14 = 6

$64-6^{2}$

Calculate 6 to the power 2 = 36

$64-36$

$=28$

<u>OAmalOHopeO</u>

4 0

3 years ago

A bag contains 6 blue balls, 3 green balls and 3 yellow balls. What is the probability of choosing one blue ball and then a yell

EastWind [94]

Prob(first ball being blue) = 6 / (6 + 3 + 3) = 6/12 = 1/2
Prob ( picking a yellow ball) = 3 /12 = 1/4

As the 2 events are independent the probabilities are multiplied
So the answer is 1/2 * 1/4 = 1/8

5 0

4 years ago

Read 2 more answers

Evaluate the line integral c (2x3 − y3) dx + (4x3 + y3) dy where c is the unit circle, and verify green's theorem for this case

labwork [276]

Parameterize $C$

$x=\cos t$

$y=\sin t$

with $0\le t\le2\pi$ . Then the line integral of $\langle2x^3-y^3,4x^3+y^3\rangle$ along $C$ is

$\displaystyle\int_0^{2\pi}\langle2\cos^3t-\sin^3t,4\cos^3t+\sin^3t\rangle\cdot\langle-\sin t,\cos t\rangle\,\mathrm dt$

$\displaystyle=\int_0^{2\pi}(4\cos^4t-2\cos^3t\sin t+\cos t\sin t^3+\sin^4t)\,\mathrm dt=\boxed{\frac{15\pi}4}$

By Green's theorem, the line integral is equivalent to

$\displaystyle\iint_{x^2+y^2\le1}\left(\frac{\partial(4x^3+y^3)}{\partial x}-\frac{\partial(2x^3-y^3)}{\partial y}\right)\,\mathrm dx\,\mathrm dy$

$=\displaystyle\iint_{x^2+y^2\le1}(12x^2+3y^2)\,\mathrm dx\,\mathrm dy$

$=\displaystyle\int_0^{2\pi}\int_0^1(12r^2\cos^2\theta+3r^2\sin^2\theta)r\,\mathrm dr\,\mathrm d\theta$

$=\displaystyle\int_0^{2\pi}\int_0^1(9r^3\cos^2\theta+3r^3)\,\mathrm dr\,\mathrm d\theta=\boxed{\frac{15\pi}4}$

6 0

4 years ago