Divide 5 by 4 is your answer a rational number explain

Mathematics

2 answers:

Elden [556K]3 years ago

6 0

No because it's a decimal

Natalka [10]3 years ago

6 0

5/4 is a rational number because it can be written as a fraction. A irrational number is a continued decimal that has no pattern and keeps going.

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The common ratio in a geometric series is 0.5 and the first term is 256. Find the sum of the first 6 terms in the series

Svetach [21]

Answer:

The sum of the first 6 terms of the series is 504.

Step-by-step explanation:

Given that,

Common ratio in a geometric series is, r = 0.5

First term of the series, a = 256

We need to find the sum of the first 6 terms in the series. If a and r area the first term and common ratio of a series, then the series becomes:

$a,ar^1,ar^2,ar^3......$

The sum of n terms of a GP is given by :

$S_n=\dfrac{a(1-r^n)}{1-r}$

Here, n = 6

$S_n=\dfrac{256\times (1-(0.5)^6)}{1-0.5}\\\\S_n=504$

So, the sum of the first 6 terms of the series is 504.

4 0

3 years ago

Just #35 please piecewise functions

saveliy_v [14]

Answer: No, the friend is correct. In any function, each input value can only lead to one output value. When you input 3 for the x-values, you would get two output values because 3 is included in both equations. To fix this, you need to have the 3 not included in one of the equations.

For example, you could say $y=\left \{ {{2x-2, x\leq 3} \atop {-3, x > 3}} \right.$ or $y=\left \{ {{2x-2, x < 3} \atop {-3, x\geq 3}} \right.$ because the input value of 3 would not be included twice.

If you look at the attached screenshot, you will see that if you keep your friend's function, inputting 3 will result in two outputs of 4 and -3, so therefore, $y=\left \{ {{2x-2,x\leq 3} \atop {-3,x\geq 3}} \right.$ cannot represent a piecewise function.