Give another name for plane n

Consider the function represented by the equation x - y = 3 What is the equation wntten in function notabon with x as the

irga5000 [103]

Answer:

answer is b

Step-by-step explanation:

6 0

3 years ago

Melanie has $35.00 in her saving account and does cleaning in a neighbor's house for $15.00 per week. Sue has no money saved, bu

katrin2010 [14]

It will take Sue 7 weeks to catch up with melanie... if you make a chart putting in how much they make each week it is an easier way to solve the problem.

6 0

3 years ago

Select the correct answer from each drop-down menu.

natka813 [3]

Answer: (1,0), increases, x=0, decreases to negative infinity.

Step-by-step explanation:

Plato/edmentum

8 0

3 years ago

The number of lattes sold daily for two coffee shops is shown in the table: Lattes 55 52 50 47 68 48 53 53 Based on the data, wh

Ghella [55]

The difference between the median of the data, including the possible outlier, and excluding the possible outlier is 2.

<h2>Given that</h2>

The number of lattes sold daily for two coffee shops is shown in the table: Lattes 55 52 50 47 68 48 53 53 Based on the data.

<h3>We have to determine</h3>

What is the difference between the median of the data, including the possible outlier, and excluding the possible outlier?

<h3>According to the question</h3>

The number of lattes sold daily for two coffee shops is shown in the table: Lattes 55 52 50 47 68 48 53 53 Based on the data.

The data set with the outlier is 20, 41, 45, 48, 52, 55, 56, 57; Meaning the median falls in between 48 and 52, which is 50.

Then the data set without the outlier is 41, 45, 48, 52, 55, 56, 57; Making the median here 52.

Therefore,

The difference between the median of the data, including the possible outlier, and excluding the possible outlier is

= 52 -50 = 2

Hence, The difference between the median of the data, including the possible outlier, and excluding the possible outlier is 2.

To know more about Median click the link is given below.

brainly.com/question/13279523

6 0

2 years ago

How do you do this question?

AfilCa [17]

<h3>4 Answers: A, B, C, D</h3>

=======================================================

Explanation:

f(x) is continuous when x >= 1. The only discontinuity for f(x) is when x = 0, but 0 is not part of this interval.

f(x) is positive for any valid x value in the domain since x^6 is always positive. In general, x^n is positive for all x when n is any even number.

f(x) is decreasing. You can see this through a table of values or through a graph. For anything in the form 1/(x^k), it will be a decreasing function because x^k gets larger, so 1/(x^k) gets smaller, when x goes to infinity.

--------------------

The conditions to use the integral test have been met. So we have to see if $\displaystyle \int_1^{\infty}f(x)dx$ converges or not.

Let's integrate and find out

$\displaystyle \int \frac{1}{x^6} dx = \int x^{-6} dx\\\\\\ \displaystyle \int \frac{1}{x^6} dx = \frac{1}{1+(-6)}x^{-6+1}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = \frac{1}{-5}x^{-5}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = -\frac{1}{5}*\frac{1}{x^5}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = -\frac{1}{5x^5}+C\\\\$

So we have

$\displaystyle g(x) = \int f(x) dx\\\\\\\displaystyle g(x) = \int \frac{1}{x^6} dx\\\\\\\displaystyle g(x) = -\frac{1}{5x^5}+C\\\\\\$

Meaning that,

$\displaystyle \int_{a}^{b} f(x) dx = g(b)-g(a)\\\\\\\displaystyle \int_{a}^{b} \frac{1}{x^6} dx = \left(-\frac{1}{5b^5}+C\right)-\left(-\frac{1}{5a^5}+C\right)\\\\\\\displaystyle \int_{a}^{b} \frac{1}{x^6} dx = -\frac{1}{5b^5}+\frac{1}{5a^5}\\\\\\$

If we plug in a = 1 and apply the limit as b approaches positive infinity, then the expression $-\frac{1}{5b^5}+\frac{1}{5a^5}$ will turn into $\frac{1}{5}$

Therefore,

$\displaystyle \int_{1}^{\infty} \frac{1}{x^6} dx = \frac{1}{5}\\\\\\$

Because this integral converges, this means the series $\displaystyle \sum_{n=1}^{\infty}\frac{1}{n^6}$ also converges as well by the integral test.

7 0

3 years ago

Give another name for plane n​

Give another name for plane n