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3 years ago

The dot product of u with itself is 12. What is the magnitude of u?

1 answer:

5 0

Dot product is
a*b = |a|*|b|*cosα.
In our case
u*u =|u|*|u|*cos 0
u*u =|u|*|u|
12=|u|²
|u|=√12=√(4*3)=2√3
Answer: <span>D. 2√3</span>

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Step-by-step explanation:

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ΔHMJ~ΔNET by AA similarity

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Find the value of x in simplest radical form

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Step-by-step explanation:

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A scale reports a 15-pound weight as weighing 12.375 pounds.

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3 years ago

Read 2 more answers

Explain how to find the inequality that represents the graph.

Aloiza [94]

The inequality that represents the given graph is y < x/5 -2 OR 5y < x - 10

<h3>Graph of Inequality</h3>

From the question, we are to determine the inequality that represents the graph

First, we will assume the inequality is a straight line and we will determine the equation of the line

From the graph, we have two points on the line

(0, -2) and (5, -1)

Using the formula for the equation of a line with two given point

(y - y₁)/(x -x₁) = (y₂ - y₁)/ (x₂ - x₁)

x₁ = 0

y₁ = -2

x₂ = 5

y₂ = -1

Thus,

(y - -2)/(x - 0) = (-1 - -2)/ (5 - 0)

(y +2)/(x - 0) = (-1 + 2)/ (5 - 0)

(y +2)/(x ) = 1/ 5

5(y + 2) =1(x)

5y + 10 = x

5y = x - 10

y = 1/5(x) - 2

y = x/5 - 2

Now,

Since the solution is below the line and the line is dotted

The inequality becomes

y < x/5 -2

5y < x - 10

Hence, the inequality that represents the given graph is y < x/5 -2 OR 5y < x - 10

Learn more on Graph of Inequality here: brainly.com/question/17106134

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2 years ago

What is the mean absolute deviation of the following set of data 10 4 12 4 2 10 10 6

mart [117]

The mean absolute deviation of the given data 10, 4, 12, 4, 2, 10, 10, 6 is 3.1875.

According to the given question.

The given data set is

10, 4, 12, 4, 2, 10, 10, 6

Mean of the given data set

= (10 + 4 + 12 + 4 + 2 + 10 + 10 + 6)/8

= 7.25

Now, the absolute values are:

|10 - 7.25| = 2.75

|4 - 7.25| = 3.25

|12 -7.25| = 4.25

| 4 - 7.25| = 3.25

| 2 - 7.25| = 5.25

| 10 - 7.25| = 2.75

| 6 - 7.25| = 1.25

The average of all absolute values

= (2.75 + 3.25 + 4.25 + 3.25 + 5.25 + 2.75 + 2.75 + 1.25)/8

= 25.5/8

= 3.1875

Therefore, the mean absolute deviation of the given data 10, 4, 12, 4, 2, 10, 10, 6 is 3.1875.

Find out more information about mean absolute deviation here:

brainly.com/question/10528201

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1 year ago