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3 years ago

Evaluate 1/3 * 5/6 in fraction form

Mathematics

1 answer:

andreev551 [17]3 years ago

3 0

Answer:

= 6 over 23 (or = 6/23

Step-by-step explanation:

Convert mixed numbers to improper fractions 3 5/6 = 23/6

Convert element to fraction

= 1 divide 23/6

Apply the fraction rule: a/b divide c/d = a/b x d/c

= 1 over 1 (or 1/1) divide 23/6

Apply rule a/a = 1

= 1 over 1 (or 1/1) x 6/23

Multiply 1x 6/23 = 6/23

= 1 x 6/23

ANSWER 6/23

Hope this helps!

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3 years ago

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3 years ago

If abx - 5 = 0, what is x in terms of a and b?

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2 years ago

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Answer:

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2 years ago

A particle moves along the x-axis so that at any time t, t ≥ 0, its acceleration is a(t) = -4sin(2t). If the velocity of the par

sasho [114]

The velocity of the particle is given by

$v(t)=v(0)+\displaystyle\int_0^ta(u)\,\mathrm du$

Since $a(t)=-4\sin2t$ and $v(0)=7$ , we get

$\displaystyle\int_0^ta(u)\,\mathrm du=\int_0^t-4\sin2u\,\mathrm du=2\cos2u\bigg|_0^t=2\cos2t-2$

$\implies v(t)=2\cos2t+5$

Similarly, the position function is obtained via

$x(t)=x(0)+\displaystyle\int_0^tv(u)\,\mathrm du$

We know $v(t)$ and we're told that $x(0)=0$ , so

$\displaystyle\int_0^tv(u)\,\mathrm du=\int_0^t(2\cos2u+5)\,\mathrm du=\sin2u+5u\bigg|_0^t=\sin2t+5t$

$\implies x(t)=\sin2t+5t$

making the answer A.

3 0

2 years ago