All categories

3 years ago

(1/2)^3-(1/4)^2+1/2 help?

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

5 0

Answer:

$(\frac{1}{2}) ^{3} - (\frac{1}{4} )^{2} +\frac{1}{2} = \frac{9}{16}$

Step-by-step explanation:

Explanation:-

Given

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

= $\frac{1}{8} - \frac{1}{16} + \frac{1}{2}$

$=\frac{2-1}{16} + \frac{1}{2}$

= $\frac{1}{16} + \frac{1}{2}$

= $\frac{1+8}{16}$

= $\frac{9}{16}$

You might be interested in

Find the sum of 14 + 8 + 2+ ... + ( 274) + (-280).

Musya8 [376]

The sum of the given sequence is -6384.

Step-by-step explanation:

The given Arithmetic sequence is 14 + 8 + 2+ ... + ( 274) + (-280).

The first term of the sequence = 14
The last term of the sequence = -280
The common difference ⇒ 14 - 8 = 6

To find the number of terms in the sequence :

The formula used is $n = (\frac{a_{n}-a_{1}} {d})+1$

where,

n is the number of terms.
$a_{n}$ is the late term which is -280.
$a_{1}$ is the first term which is 14.
d is the common difference which is 6.

Therefore, $n =(\frac{-280-14}{6}) +1$

⇒ $n =( \frac{-294}{6}) + 1$

⇒ $n = -49 + 1$

⇒ $n = -48$

⇒ n = 48, since n cannot be negative.

∴ The number of terms, n = 48.

To find the sum of the arithmetic progression :

The formula used is $S = \frac{n}{2}(a_{1} + a_{n} )$

where,

S is the sum of the sequence.
$a_{1}$ is the first term which is 14.
$a_{n}$ is the late term which is -280.

Therefore, $S = \frac{48}{2}(14+ (-280))$

⇒ $S = \frac{48}{2}(-266)$

⇒ $S = 48 \times -133$

⇒ $S = -6384$

∴ The sum of the given sequence is -6384.

3 0

3 years ago

Divide any 4 polygons into triangles by dividing them into diagonals.

horrorfan [7]

Step-by-step explanation:

The most remarkable and important property of triangles is that any polygon can be split up into triangles simply by drawing diagonals of the polygon. This fact forms the basis for understanding why the interior angles of polygons add up to 180(n-2) degrees.

hope it helps

7 0

2 years ago

I mark brainliest!

lianna [129]

Answer:

x>3

Step-by-step explanation:

domain is on the x axis, so the point is 3, 1

7 0

2 years ago

Pls help will mark brainliest and 30 points

erik [133]

1. Answer is option 3

2. Answer is option 3

7 0

3 years ago

Read 2 more answers

*EXTRA PTS* answer #2 - #5

TiliK225 [7]

Answer:

2. 2N

3. -4N

4. 4N

5. 7N

Step-by-step explanation:

4 0

3 years ago

(1/2)^3-(1/4)^2+1/2 help?​

(1/2)^3-(1/4)^2+1/2 help?