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Answer:

  A. m(-1)^(n-1)

Step-by-step explanation:

The degree of m doesn't change so none of the expressions with n as an exponent of m can possibly be correct. That leaves only choice A.

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You will find that when alternating signs are required, the term (-1)^n will be a factor. An offset of ±1 can be added to the n to make the initial sign be what you want. Here we want +1 for n=1, so an exponent of (n-1) is appropriate.

Final answer:

The general term for the sequence m, -m, m, -m, ... is m(-1)^(n-1). This is correct because -1 when raised to an odd power gives -1, and when raised to an even power gives 1, ensuring alternation between m and -m.

Explanation:

The question refers to a sequence where the terms alternate between positive and negative values of m. The general term that describes such a sequence is m(-1)^(n-1).

This term works because when raised to an odd power, -1 gives -1, and when raised to an even power, -1 gives 1. Thus, the expression alternates between m and -m for different values of n.

For instance, when n is 1, the term is m; when n is 2, the term is -m; when n is 3, the term is m; and so on. Therefore, the correct answer is option A: m(-1)^(n-1).

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Answer:

32x-5

Step-by-step explanation:

6x^2-4x-5

36x-4x-5

32x-5

Answer:

y = 64°

Step-by-step explanation:

From the picture attached,

m(∠E) = 90°

m(∠E) = m(∠D)

m(∠B) + 67° = 180° [pair of linear angles]

m(∠B) = 113°

m(∠C) + 75° = 180°

m(∠C) = 180° - 75°

           = 105°

Since, sum of interior angles of a polygon = (n - 2) × 180°

Here, n = number of sides

For n = 5,

Sum of interior angles = (5 - 2) × 180°

                                     = 540°

m(∠A) + m(∠B) + m(∠C) + m(∠D) + m(∠E) = 540°

m(∠A) + 113° + 105° + m(∠D) + 90° = 540°

(m∠D) + m(∠D) = 540 - 308 [Since, m(∠A) = m(∠D)]

2(m∠D) = 232

m(∠D) = 116°

m(∠D) + y° = 180° [Linear pair of angles]

116 + y = 180

y = 64°

Answer:

Critical value:

The 90% confidence interval for the population mean bromide concentration is (0.376, 0.39).

Step-by-step explanation:

We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so . This value of z is the critical value

Now, find M as such

In which is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the mean subtracted by M. So it is 0.383 - 0.0066 = 0.376 cc/cubic meter

The upper end of the interval is the mean added to M. So it is 0.383 + 0.0066 = 0.39 cc/cubic meter

The 90% confidence interval for the population mean bromide concentration is (0.376, 0.39).

Answer

$60,515:

Step-by-step explanation:

Answer:

$60,515:

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