What is the sum of the series?

1 answer:

8 0

4 + 12 + 36... etc
is a sum that can be rewritten in form

4 ( 1, 3, 9, 27, 81, etc) this can further be written in sigma notation:

4 Sigma [ 3 ^ ( i - 1)]

The sum of the indefinite summation will be the limit as i goes to infinity = infinity

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A classmate wrote the solution to the inequality |-4x + 1| > 3 as show below. Describe and correct the error.

andrezito [222]

Answer:

See below.

Step-by-step explanation:

The last step is incorrect. When we divide both sides by a negative the inequality is flipped. The answer is x < -1/2.

Also they omitted the other possibility that the expression in the vertical lines could be negative.

We also have the inequality

- 4x + 1 < - 3

-4x < -4

x > 1.

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2 years ago

Which expression is equivalent to (x Superscript one-fourth Baseline y Superscript 16 Baseline) Superscript one-half?

Phantasy [73]

The expression that is equal to (x Superscript one-fourth Baseline y Superscript 16 Baseline) is x Superscript one-eighth Baseline y Superscript 8.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression that is equal to (x Superscript one-fourth Baseline y Superscript 16 Baseline) can be found by simplifying the given algebraic equation,

$(x^{\frac14}y^{16})^{\frac12}\\\\=x^{(\frac14 \times \frac12)} \times y^{(16 \times \frac12)}\\\\= x^{\frac18}y^{8}$

Hence, the expression that is equal to (x Superscript one-fourth Baseline y Superscript 16 Baseline) is x Superscript one-eighth Baseline y Superscript 8.

Learn more about Expression:

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Find the value of x that satifies the equation sin (4x+14)° = cos (-3x + 73)°

daser333 [38]

The answer is b, x=3

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2 years ago

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Suppose the variable x is represented by a standard normal distribution. What is the probability of x > 0.3 ? Please specify