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3 years ago

Evaluate the expression: 2/3-1/4+(-5/6)

Mathematics

1 answer:

Aliun [14]3 years ago

3 0

Answer:

$\\ \frac{2}{3} - \frac{1}{4} + \frac{( - 5)}{6}$

$\\ = \frac{2}{3} - \frac{1}{4} - \frac{5}{6}$

$\\ = \frac{8 - 3 - 10}{12}$

$\\ = \frac{8 - 13}{12}$

$\\ = \frac{ - 5}{12}$

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Maru [420]

Answer:

The answer is 62

Step-by-step explanation:

First, you add 8 and 12 which is 20

Then, you add 20 and 18 which is 38

After that, you add 38 and 8 which is 46

Lastly, you add 46 and 16 which will equal to the total of 62

Hope that helps out! OwU

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the sequence {a_n} is defined by a_1= 1 and a_(n+1) = 1/2( a_n+ (4/a_n) ) for >=1. Assuming that {a_n} converges, find its li

katen-ka-za [31]

$a_{n+1}=\dfrac{a_n+\frac4{a_n}}2$

Assuming convergence of the sequence, we have $a_n\to L$ for some limit $L$ as $n\to\infty$ . This also means $a_{n+1}\to L$ . So in the above equation, we can substitute and solve for $L$ :

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3 years ago

How do you find the volume inside the cylinder but outside the sphere? H=12cm.

Mrrafil [7]

Apparently, there is a sphere inside a cylinder, and we need to find
(the volume of the cylinder) minus (the volume of the sphere).

This wouldn't be too awfully difficult if we had the measurements we need
in order to calculate the volume of the cylinder and the volume of the sphere.
You did give us a number, thank you, but no description, so we don't even know
what's 12, because we don't know how 'H' figures into anything.

If you have the numbers, here are the formulas you'll need:

Volume of a cylinder = π (radius)² (height or length)

Volume of a sphere = (4/3) π (radius)³
===============================================
Oh I think I get it. There's a little ball stuck inside a cylinder, they
both have the same radius, and the height of the cylinder is 12.

That's still not enough information to do a complete calculation.
I'm afraid we still need that radius. But we can get closer:

Volume of the cylinder = π (radius)² (12)

Volume of the sphere = (4/3) π (radius)³

(Cylinder) minus (sphere) = (4/3) π (radius²) ( 9 - radius ) .

Stuff the number for the radius into that, and you'll have the answer.

And if you need it, remember, the radius is 1/2 of the diameter.

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3 years ago

Find angle picture below.

Ugo [173]

Answer:

Angle M = 63

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Step-by-step explanation:

By exterior angle of triangle:

Angle M + Angle N = 159

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y = 15

Angle M = 4y + 3 = 4(15) + 3 = 63

Angle N = 6y + 6 = 6(15) + 6 = 96

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3 years ago