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3 years ago

A data set consists of the following data points:

1 answer:

8 0

Since the slope of the line is already given, by plotting the three points and drawing a best fit line using the given slope and extending the line to hit the x-axis, the y-intercept can be determined. Line-fitting tools can also be used; common scientific calculators have that feature.
So, the answer is D. 16

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Find the vector that has the same direction as 3, 2, −6 but has length 2.

Nata [24]

Answer:

The vector is $\vec r = \left(\frac{6}{7},\frac{4}{7},-\frac{12}{7}\right)$ .

Step-by-step explanation:

We can determine the equivalent vector ( $\vec r$ ), dimensionless, by means of the following formula:

$\vec r = \frac{\vec u}{\|\vec u\|} \cdot \|\vec r\|$ (1)

Where:

$\vec u$ - Original vector, dimensionless.

$\|\vec u\|$ - Norm of the original vector, dimensionless.

$\|\vec r\|$ - Norm of the new vector, dimensionless.

The norm of the original vector is determined by the following definition:

$\|\vec u\| = \sqrt{\vec u\,\bullet \,\vec u}$ (2)

If we know that $\vec u = (3, 2, -6)$ , then the norm of the original vector is:

$\|\vec u\| = \sqrt{(3)\cdot (3)+(2)\cdot (2)+(-6)\cdot (-6)}$

$\|\vec u\| = 7$

If we know that $\|\vec r\| = 2$ , then the new vector is:

$\vec r = \frac{2}{7}\cdot (3,2,-6)$

$\vec r = \left(\frac{6}{7},\frac{4}{7},-\frac{12}{7}\right)$

The vector is $\vec r = \left(\frac{6}{7},\frac{4}{7},-\frac{12}{7}\right)$ .

7 0

2 years ago

A regular octagon with sides of length 8 and an apothem of length 9.66 has an area of _____ square units

Alex787 [66]

<span>309.12 square units is the answer</span>

4 0

2 years ago

Read 2 more answers

Evaluate the polynomial when (a) x=0 and (b) x=-1

Ksenya-84 [330]

When x is 0 y would be -7 and when x=-1 y=-16

6 0

2 years ago

Expand the expression and combine the like terms:<br><br> -1/2 (-3Y + 10)

lesya [120]

This the no x value to this problem??

6 0

2 years ago

Please help! I have included a picture for your convenience

puteri [66]

Answer:

0.5/1

Step-by-step explanation:

I believe it's 0.5/1 because you went up 0.5 which is your Y. Then you went over 1 time (x) because in order to get from 0 to 1 you have to go over one.

3 0

2 years ago