Type the correct answer in each box.

Find the elements of matrix A.

help PLS!!

The correct option is c)It is one-half the area of a rectangle with sides 6 units × 2 units.

With three sides, three vertices, and three angles, a triangle is a polygon. It is the most basic polygon and a basic geometric form. Triangles can be categorised according to the size of their angles and the length of their sides. An isosceles triangle, on the other hand, has two equal sides and two equal angles, but an equilateral triangle has three equal sides and three equal angles. A triangle's three inner angles are always added up to 180 degrees. In mathematics and many other disciplines, such as engineering, physics, and architecture, triangles are often employed.

According to the given information:

The area of a triangle is given by the formula A = 0.5 * base * height, where base and height are the perpendicular sides of the triangle. In this case, the base of the triangle is the horizontal distance between the coordinates of points A and C, which is 3 units (7 - 4), and the height of the triangle is the vertical distance between the coordinates of points B and C, which is also 3 units (2 - 2).

Plugging these values into the formula, we get:

A = 0.5 * 3 units * 3 units

A = 4.5 square units

On the other hand, a rectangle with sides of 6 units × 2 units would have an area of 6 units * 2 units = 12 square units.

Since the area of the triangle (4.5 square units) is half the area of the rectangle (12 square units), the correct statement is (c) "It is one-half the area of a rectangle with sides 6 units × 2 units."

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There are a total of 600 Employees in the automotive company.

The total number of employees in the automotive company, we need to determine the proportion of employees working in each area.

Let's denote the total number of employees as "x". According to the given information:

- The proportion of employees working in auto parts assembly is 2/3 of the total. So, the number of employees in auto parts assembly is (2/3)x.

- The proportion of employees working in the washing area is 1/8 of the total. So, the number of employees in the washing area is (1/8)x.

- The proportion of employees working in the customer service area is 1/6 of the total. So, the number of employees in the customer service area is (1/6)x.

- The rest of the employees are executives, and the number of executives is given as 25.

We can set up an equation to represent the total number of employees:

(2/3)x + (1/8)x + (1/6)x + 25 = x

To solve this equation, we can simplify and solve for x:

[(16/24)x + (3/24)x + (4/24)x] + 25 = x

(23/24)x + 25 = x

25 = x - (23/24)x

25 = (1/24)x

x = 24 * 25

x = 600

Therefore, there are a total of 600 employees in the automotive company.

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Answer:

We can start by isolating the variable "h".

5 8 h + 1 1 2 = 5

Subtracting 11/2 from both sides:

5 8 h = 5 - 1 1 2

Simplifying:

5 8 h = 8 1 2

Dividing both sides by 5/8:

h = 8 1 2 ÷ 5 8

Converting the mixed number to an improper fraction:

h = (8 x 8 + 1) ÷ 5 8

h = 65/8

Now, we can convert this fraction to a mixed number:

h = 8 1/8

Brigid has already picked for 8 1/8 hours, so the amount of time needed to pick the remaining strawberries is:

5 - (1 1/2 + 5/8 x 8) = 5 - (3 5/8) = 1 3/8

Therefore, Brigid still needs to pick for 1 3/8 hours to fill 5 bushels of strawberries. The answer is 1 and 3/8 hours or 2 and 3/16 hours (if simplified).

Step-by-step explanation:

the standard error of the mean is 14.856 2, 15 .1044.

The standard deviation is a measure that shows the spread, dispersion, and spread of variance from the mean. The standard deviation demonstrates a "average" difference from the mean. It is a well-liked measure of variability since it uses the data set's original units of measurement. A minor variation is there when data points are near the mean, and a high variation is present when they are far from the mean. The values' difference from the mean is calculated using the standard deviation. The method that is most frequently used to evaluate dispersion is standard deviation, which is based on all values. As a result, even a slight adjustment to one number can alter the standard deviation's value.

That is the truth. The result is 14.856 2, 15 .1044.

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\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

Let's solve ~

\(\qquad \sf  \dashrightarrow \:5 - ( 6 - 9x) = 1 - (4 - 10)\)

\(\qquad \sf  \dashrightarrow \:5 - 6 + 9x = 1 - 4 + 10\)

\(\qquad \sf  \dashrightarrow \: 9x - 1 = 7\)

\(\qquad \sf  \dashrightarrow \:9x = 8\)

\(\qquad \sf  \dashrightarrow \:x = \dfrac{8}{9} \)

Answer: x is greater than it equal to 22

Step-by-step explanation:

x = some unknown number

x-7 = decrease the unknown number by 7

The "is at least 15" part means x-7 = 15 or x-7 > 15

That condenses to x-7 ≥ 15

Add 7 to both sides to isolate x.

x-7 ≥ 15

x-7+7 ≥ 15+7

x ≥ 22

The unknown number is 22 or larger.

∮cf dy − g dx = 0.

To evaluate the line integral ∮cf dy − g dx using Green's theorem, we need to calculate the double integral of the curl of the vector field F = (g, -f) over the region enclosed by the curve.

First, let's find the curl of F. The curl of F is given by ∇ × F = (∂g/∂x - ∂f/∂y).

Since f = 2x^2 and g = 9y^2, we have ∂f/∂y = 0 and ∂g/∂x = 0.

Therefore, the curl of F is (∂g/∂x - ∂f/∂y) = 0 - 0 = 0.

According to Green's theorem, the line integral ∮cf dy − g dx is equal to the double integral of the curl of F over the region enclosed by the curve. As the curl is zero, the line integral is also zero.

So, ∮cf dy − g dx = 0.

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Answer:

Distributive property

Linear Variable Differential Transformer (LVDT) is an electromechanical transducer used for linear position sensing. It's one of the most accurate and dependable sensors for measuring linear displacement.

The basic working principle of an LVDT is based on the mutual inductance of two coils, the primary and the secondary, which are wound on a cylinder-shaped ferromagnetic core.LVDT Working Principle:The LVDT contains a primary coil of wire wound on a tube, as well as two secondary coils wound on a cylindrical former in an opposing position to one another. The cylinder's axial centerline is made up of the former. The primary coil of the LVDT is connected to an AC voltage source, typically in the range of 1 to 10 kHz, as shown in the figure below.When the ferromagnetic core is positioned in the LVDT's core position, equal voltage is generated in the two secondary windings since they are magnetically coupled. Since the secondary coil's position corresponds to the core position, this voltage is proportional to the position of the core.

As a result, the voltage signal from the LVDT may be used to determine the core's linear position.Disadvantages and Advantages of LVDT:Disadvantages of LVDT are as follows:It may only sense one directional linear motion.The temperature range that the sensor can operate in is limited.The LVDT's output signal is susceptible to distortion because of the presence of harmonics in the input supply.Advantages of LVDT are as follows:It is a very sensitive transducer with high precision and resolution.It is a reliable and long-lasting instrument with a high repeatability rate.It doesn't have any electrical contact with the core, making it a non-contact device.It is unaffected by environmental factors such as moisture, vibration, and other external factors.It's a low-cost instrument that's simple to set up and use.

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Answer:

68%

Step-by-step explanation:

In normal distribution, the empirical rule (aka 68-95-99.7 rule) describes the approximate proportion of data that falls within certain distances from the mean of a normal distribution. Specifically, the rule states that:

Answer:

B

Step-by-step explanation:

The standard form of a circle equation is:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center and r is the radius.

We can plug in the given values to get:

(x - 1)^2 + (y - 2)^2 = 3^2

This is the sam as option B

The statement is true. In the context of vector calculus, the dot product between two vectors u and v is defined as the product of their magnitudes and the cosine of the angle between them.

The dot product satisfies the distributive property and is linear with respect to scalar multiplication, which means that for any scalar c and vectors u and v, we have:

u · (cv) = c(u · v)

This equation states that taking the dot product between vector u and the scalar multiple cv is equivalent to multiplying u by the dot product between u and v scaled by c.

This property is useful in many applications of vector calculus, including the computation of work and the projection of vectors onto subspaces. It is also used in the definition of the norm and the inner product of vectors.

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Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

5x + 18 = 7x - 6

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

And we have our final answer!

To find the point on a sphere nearest to the xy-plane, use the equation of the sphere with center (h, k, l) and radius r. Substitute z = 0 into the equation, and calculate the distance between the given point and every other point on the sphere.

To find the point on a sphere nearest to the xy-plane, we need to find the point on the sphere with the smallest z-coordinate.

a. To find the point on the sphere nearest to the xy-plane, we can use the fact that the equation of a sphere with center (h, k, l) and radius r is given by (x-h)^2 + (y-k)^2 + (z-l)^2 = r^2. In this case, the equation of the sphere is known.

Since we want to find the point with the smallest z-coordinate, we can substitute z = 0 into the equation of the sphere. This will give us a circle in the xy-plane.

b. To find the point on the sphere nearest to a specific point, we need to calculate the distance between that point and every point on the sphere. The point on the sphere with the smallest distance is the point closest to the given point.

To calculate the distance between two points, we can use the distance formula, which is the square root of the sum of the squares of the differences between the coordinates.

By following these steps, you can find the point on the sphere nearest to the xy-plane and the point specified in the question. Please let me know if you need any further assistance.

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The values of the missing angles and sides after dilation are:

m∠C'B'D' = 95°,  CQ = 6 and  B'D' = 11.

m∠C'B'D = 180° - m∠B'C'D' - m∠B'D'C'

m∠B'C'D = m∠BCD, m∠B'D'C' = m∠BDC  (dilation)

m∠C'B'D = 180° - 34° - 51° = 95°

Thus, by way of scale factor we can say that:

BC/B'C' = BD/B'D' = 36/18 = 2

B'D' = ¹/₂BD = ¹/₂ * 22 = 11

ΔC'P'Q ∼ ΔCPQ

Thus:

C'Q'/CQ = C'D'/CD = D'Q'/DQ

CQ = 2C'Q' = 2 * 3 = 6

Therefore, m∠C'B'D' = 95°,  CQ = 6 and  B'D' = 11.

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Answer:

  B.  (see attached)

Step-by-step explanation:

You want the solution and graph of the inequality |x+3| > 2.

The inequality resolves to two inequalities with different domain definitions:

  |x +3| > 2

When the argument is negative, (x+3) < 0, this is ...

  -(x +3) > 2

  -x -3 > 2 . . . . . . eliminate parentheses

  x +3 < -2 . . . . . . multiply by -1

  x < -5 . . . . . . . . . subtract 3; consistent with the domain definition

When the argument is positive, (x+3) > 0, this is ...

  x +3 > 2

  x > -1 . . . . . . . . subtract 3

  -1 < x . . . . . . . . same thing using the < symbol

These differing solution sets do not overlap, but elements of either set are solutions to the inequality. The appropriate conjunction is "OR":

  solution: x < -5 or -1 < x

The graph is attached.

__

Additional comment

We like to use the < or ≤ symbols when expressing the solution to an inequality. That way, the relation of the variable to the boundary value is the same as its relation on a number line. Solution values are left of -5 or right of -1:

  x < -5  or  -1 < x

It helps provide a check that the graph is properly drawn.

The inequality can be rewritten as ...

  |x -(-3)| > 2

which can be interpreted as saying the positive distance from x to -3 is more than 2. This tells you the graph will have two disjoint branches, and the appropriate conjunction is OR.

If the problem were different, and the inequality were ...

  |x -(-3)| < 2

it would be telling you the solution values have a distance less than 2 from -3. They will be in one continuous band from -5 to -1, so the appropriate conjunction is AND. The solution in this case is usually written as a compound inequality with no conjunction: -5 < x < -1. (Note the use of < symbols puts the variable value in the middle, between the boundary values, as in graph D.)

The side lengths of the triangle are CA = 42.0 and BC = 36.4

From the question, we have the following parameters that can be used in our computation:

The triangle

Using the tangent rratio, we have

tan(60) = BC/21

So, we have

BC = 21 * tan(60)

Evaluate

BC = 36.4

Next, we have

CA = √[36.4^2 + 21^2] -- pythagoras theorem

Evaluate

CA = 42.0

Hence, the side lengths are CA = 42.0 and BC = 36.4

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The $10 scale is a good scale to use for the y-axis. 12 months is sufficient to plot the graph and display the changes.

What is a coordinate system?

coordinate system, Setup of reference lines or curves that are used to pinpoint the locations of points in space The most popular two-dimensional system is called Cartesian (after René Descartes). Points are identified by their separation from a reference point, known as the origin, along a horizontal (x) and vertical (y) axis (0, 0).

Let the y-axis represent the money for groceries and the x-axis the number of months.

Given is that, the grocery bills range from $110 to $170.

We can thus view the changes in the grocery bills over 7 intervals by placing a scale of $10 on the y-axis.

Consequently, a $10 scale is a good scale.

Additionally, the y-axis shows the number of months. It will be sufficient to plot the graph and display the changes in grocery bills over the course of 12 months.

Therefore, 12 points are enough to represent a month.

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Answer:

Step-by-step explanation:

The given sequence is an arithmetic sequence with a common difference of 4. The 77th term of the sequence is the 77th term of the arithmetic sequence, which is given by the formula:

a_n = a_1 + (n - 1) * d

where a_n is the nth term of the sequence, a_1 is the first term of the sequence, and d is the common difference. Substituting the values for a_1, n, and d into this formula, we get:

a_77 = -8 + (77 - 1) * 4

= -8 + 76 * 4

= -8 + 304

= 296

Therefore, the 77th term of the sequence is 296.

Answer:

Part A:

The comparison is "greater than".

Explanation: Since Richard has only a fraction (specifically, 34/1) of the number of blue marbles that Parker has, multiplying a whole number (Parker's marbles) by a fraction (34/1) results in a product that is less than the original whole number (Parker's marbles). Therefore, Parker must have more blue marbles than Richard.

Part B:

To determine how many blue marbles Richard has, we can multiply the number of blue marbles Parker has by the fraction representing the fraction of blue marbles Richard has compared to Parker, which is 34/1.

Richard has 12 (Parker's marbles) multiplied by 34/1 (the fraction representing the fraction of blue marbles Richard has compared to Parker):

Richard has 12 * 34/1 = 408 blue marbles.

Step-by-step explanation:

in the answer

Notice that

2010 ≡ 1 mod 2009

2011 ≡ 2 mod 2009

2012 ≡ 3 mod 2009

...

4017 ≡ 2008 mod 2009

4018 ≡ 0 mod 2009

So really, S is just the sum of the first 2008 positive integers:

\(S=\displaystyle\sum_{n=1}^{2008}n=\frac{2008\cdot2009}2\)

where we invoke the formula

\(\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2\)

and so S ≡ 0 mod 2009.

Answer:

Angle PTR and angle PTS are supplementary angles. Lines PQ and RS intersect at an angle less than a right angle. Angle PTR and angle PTS are complementary angles.

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

on edge ;)

Answer:

try resedning the picture it wont open/load

Step-by-step explanation:

Answer:

123

Step-by-step explanation:

100 ÷ 5 x 4 + 43

20 x 4 + 43

80 + 43

123

Answer:

the correct answer is B for the blue graph

Answer:

y ≤ 1/3x - 4

Step-by-step explanation:

it could not be options 3 or 4 because the y-intercept is -4, not +4

I picked a point in the shaded area to see which inequality, the first or the second, would make it true; the point I used was (3, -4)

1st option:  y ≥ 1/3x - 4        Is this true? -4 ≥ 1/3(3)  No, -4 is not GE 1

2nd option: y ≤ 1/3x - 4        Is this true? -4 ≤ 1/3(3)  Yes, -4 is LE 1