a dust is 1.5 ft wide and 5 feet long it is 3 feet above the floor what is the volume of the space under the desk

Which shows one way to determine the factors of x3 – 9x2 5x – 45 by grouping?

GalinKa [24]

<span>x(x2 5) – 9(x2 5)
Hope this helps! (:

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8 0

2 years ago

Read 2 more answers

Could a set of three vectors in ℝ^4 span all ℝ^4? Explain. What about n vectors in ℝ^m when n is less than m?

Elena-2011 [213]

Answer:

Check the ecplanation

Step-by-step explanation:

A set of three vectors in $R^{4}$ represents a matrix of 3 column vectors, and each vector containing 4 entries (that is, a matrix of 4 rows, and 3 columns).

Let A be that 4x 3 matrix. The columns of A span $R^{m}$ . if and only if A has a pivot position in each row. So, there are at most 3 pivot positions in the matrix A, but the number of rows is 4, therefore, there exist at least one row not having a pivot position. If A does not have a pivot position in at least one row, then the columns of A do not span $R^{4}$ . It implies that the set of 3 vectors of A does not span all of $R^{4}$ .

In general, the set of n vectors in $R^{m}$ represents a matrix of in rows, and n columns (an in x matrix). So, there are at most n pivot positions in the matrix A, but n is less than the number of rows. In therefore, there exist at least one row that does not contain a pivot position.

And, hence the set of n vectors of A does not span all of $R^{m}$ . for n < m

8 0

2 years ago

n 2018, homes in East Baton Rouge (EBR) Parish sold for an average of $239,000. You take a random sample of homes in Ascension p

Olenka [21]

Answer:

Conclusion

There is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean

Step-by-step explanation:

From the question we are told that

The population mean for EBR is $\mu_ 1 = \$239,000$

The sample mean for Ascension parish is $\= x_2 = \$246,000$

The p-value is $p-value = 0.045$

The level of significance is $\alpha = 0.01$

The null hypothesis is $H_o : \mu_2 = \mu_1$

The alternative hypothesis is $H_a : \mu_2 > \mu_1$

Here $\mu_2$ is the population mean for Ascension parish

From the data given values we see that

$p-value > \alpha$

So we fail to reject the null hypothesis

So we conclude that there is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean

3 0

3 years ago

The point-slope form of the equation of a nonvertical line with slope, m, that passes through the point (x1,y1) is...?

natulia [17]

Answer:

b. y-y1 = m(x-x1)

Step-by-step explanation:

It's a matter of definition. There are perhaps a dozen useful forms of equations for a line. Each has its own name (and use). Here are some of them.

slope-intercept form: y = mx + b
point-slope form: y -y1 = m(x -x1)
two-point form: y = (y2-y1)/(x2-x1)(x -x1) +y1
intercept form: x/a +y/b = 1
standard form: ax +by = c
general form: ax +by +c = 0

Adding y1 to the point-slope form puts it in an alternate form that is useful for getting to slope-intercept form faster: y = m(x -x1) +y1. I use this when asked to write the equation of a line with given slope through a point, with the result in slope-intercept form.

3 0

3 years ago

Draw and identify the coordinates of the image of the figure after a 90° counterclockwise rotation about the origin.

Galina-37 [17]

Answer:

5! HOPE I HELPED

Step-by-step explanation:

6 0

2 years ago