Scalar and Matrix multiplication What is the dang product???

The area of the parallelogram is[tex]39\sqrt(15)[/tex] square units.

In the preceding diagram, we must determine the height of the parallelogram in order to determine its area. The length of the perpendicular line segment drawn from vertex A to side BC determines the parallelogram's height. We'll refer to this line segment as AD. Since AD is perpendicular to BC, we can calculate its length using the Pythagorean theorem:

[tex]AD^2 = AC^2 - CD^2[/tex]

[tex]AD^2 = 12^2 - 3^2[/tex]

[tex]AD^2 = 135[/tex]

[tex]AD = \sqrt(135) = 3\sqrt(15)[/tex]

Now that we know the height of the parallelogram, we can use the formula for the area of a parallelogram:

Area = base x height

The base of the parallelogram is the length of side AB, which is 13 units. Therefore, the area of the parallelogram is:

[tex]Area = 13 \times 3\sqrt(15)[/tex]

[tex]Area = 39\sqrt(15) square units[/tex]

Therefore, the area of the parallelogram is [tex]39\sqrt(15)[/tex] square units.

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Answer:

B

Step-by-step explanation:

The overall mean number of hours worked can be determined by calculating the weighted average of the means for males and females, taking into account the sample size as weights.

Given:

X₁ = 6 (mean number of hours worked for males)

X₂ = 9 (mean number of hours worked for females)

n₁ = 30 (sample size for males)

n₂ = 20 (sample size for females)

The overall mean number of hours worked, denoted as X, can be calculated as follows:

X = (X₁ * n₁ + X₂ * n₂) / (n₁ + n₂)

Plugging in the given values:

X = (6 * 30 + 9 * 20) / (30 + 20)

X = (180 + 180) / 50

X = 360 / 50

X = 7.2

Answer:

I'm guessing A

Step-by-step explanation:

175 is the only multiple of 5 so it has to be that also there's no option for zero

Answer:

2

Step-by-step explanation:

45°-45°-90° triangles are Special Right Triangles. There are some super helpful shortcuts you can learn for a 45°-45°-90° triangle.

The two legs of the triangle are always the same. The longest side, the hypotenuse, is:

hypot = leg•sqrt2

The leg in your problem is sqrt2.

You are asked to find the hypotenuse, k.

hypot = leg•sqrt2

k = leg•sqrt2

k = sqrt2•sqrt2

k = 2

k is 2. Don't be sidetracked by the direction that says "Write your answer in simplest radical form". If there was a radical in your answer, we would simplify it, but there isn't...it's just plain 2.

Answer: Thomas swims 50,000 meters in 5 weeks.

Step-by-step explanation: To determine the total distance swam by an individual over a period of 5 weeks, the product of their weekly swim distance can be calculated by multiplying said distance by 5.

The accumulated distance covered within a period of five weeks by an individual with a weekly average of 10,000 meters amounts to a total distance of 50,000 meters.

Thomas swims 50,000 meters in 5 weeks.

Thomas swims 10 kilometers each week. To convert kilometers to meters, we multiply by 1,000 because there are 1,000 meters in a kilometer.

10 km * 1,000 meters/km = 10,000 meters

Thomas swims 10,000 meters each week. Now, to find out how many meters he swims in 5 weeks, we multiply the weekly distance by the number of weeks:

10,000 meters/week * 5 weeks = 50,000 meters

The range of this data set include the following: D. 6.

In Mathematics and Geometry, a range is the set of all real numbers that connects with the elements of a domain.

Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph (dot plot) shown in the image attached above, we can reasonably and logically deduce the following range:

Range = {18, 19, 20, 21, 22, 24} = 6.

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Answer:

parallelogram and rectangle

Step-by-step explanation:
the shape can’t be a rhombus or a square, because all sides of it are not the same length. it’s a parallelogram, because all 4 sides are parallel to each other, and it’s a rectangle, because it’s a parallelogram and all of its sides aren’t equal.

The statement "The least expensive animal to feed may not be the favorite animal for a pet" explains why Katie asked the wrong question.

What is graphs?

Graphs are used by mathematicians to logically express or chart facts and values visually. A graph point typically depicts the relationship between several things.

While the cost of feeding an animal may be an important consideration for some people when choosing a pet, it is not necessarily the only or even the most important factor. Many people choose pets based on factors such as their personality, behavior, and the amount of attention and care they require.

Therefore, the animal that is least expensive to feed may not necessarily be the animal that people consider to be their favorite pet.

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The total volume of the wedding tent is approximately 13146.7 cubic feet.

The volume of a rectangular prism is expressed as;

V = w × h × l

The volume of rectangular pyramid is expressed as;

V = (1/3) × l × w × h

Where w is the width, h is height and l is length

To find the total volume of the wedding tent, we need to find the volumes of the rectangular prism and the rectangular pyramid and add them together.

Given that: the dimensions of the rectangular prism are 34 ft by 40 ft by 8 ft.

Therefore, the volume of the rectangular prism is:

V_prism = w × h × l

V_prism = 34ft × 40ft × 8ft

V_prism = 10880 ft³

Next, we find the volume of the rectangular pyramid.

Note that: the dimensions of the base of the rectangular pyramid are the same as the dimensions of the rectangular prism, which are 34 ft by 40 ft.

Hence:

The volume of rectangular pyramid is expressed as;

V_pyramid  = (1/3) × l × w × h

V_pyramid  = (1/3) × 34ft × 40ft × 5ft

V_pyramid  = 2266.7ft³

Now we can find the total volume of the tent by adding the volume of the rectangular prism and the volume of the rectangular pyramid:

V_total = V_prism + V_pyramid

V_total = 10,880 + 2266.7

V_total = 13146.7 ft³

Therefore, the total volume of the tent is 13,146.7 ft³

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The probability that Cherish, Taffy, Haunter, and Maverick are chosen is 1/126

The total number of ways to choose 4 dogs out of 9 is given by the combination formula:

9Cr4 [this reads "nine combination four"]

9Cr4 = 9! / (4! 5!)

        = 126

This means there are 126 possible outcomes, each equally likely.

The number of ways to choose Cherish, Taffy, Haunter, and Maverick out of the 9 dogs is:

5Cr0 * 4Cr4 = 1

This means there is only 1 favourable outcome.

Therefore, the probability of choosing Cherish, Taffy, Haunter, and Maverick is:

1/126

So the answer is 1/126.

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If diameter 6 cm and height 16 cm, the volume of the right circular cylinder is 144π cubic cm.

The volume of a right circular cylinder is given by the formula V = πr^2h, where r is the radius of the base and h is the height. In this case, the diameter is given as 6 cm, so the radius is half of the diameter, which is 3 cm. The height is given as 16 cm.

Substituting these values into the formula, we get:

V = π(3 cm)^2(16 cm)

V = π(9 cm^2)(16 cm)

V = 144π cubic cm

A right circular cylinder is a three-dimensional object with a circular base and straight sides that are perpendicular to the base. The volume of a cylinder is the amount of space that it occupies and is calculated by multiplying the area of the base by the height.

In this case, the base of the cylinder is a circle with radius 3 cm, so its area is π(3 cm)^2 = 9π square cm. The height of the cylinder is 16 cm, so the volume is 9π x 16 = 144π cubic cm.

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The equation line which is parallel to y = - (1/8)x - 8 and passes through (8, 5) will be y = -(1/8)x + 6.

Given that:

Equation, y = - (1/8)x - 8

The slope of the parallel lines is equal. Then the equation of the parallel line is given as,

y = -(1/8)x + c

The equation passes through (8, 5), then we have

5 = -(1/8) * 8 + c

5 = - 1 + c

c = 6

The equation of the parallel line will be y = -(1/8)x + 6.

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The correct answer is D. Trapezoid EFGH is congruent to Trapezoid ABCD after undergoing transformation D.

Let's first define the transformations:

A. Translation down, followed by rotation of 90°, followed by dilation by a scale factor of 3.

B. Rotation of 45°, followed by a reflection, followed by a translation left.

C. Dilation by a scale factor of 12, followed by a translation up, followed by a reflection.

D. Reflection, followed by a dilation of a scale factor of 1, followed by a rotation of 180°.

To determine if Trapezoid EFGH is congruent to, an enlargement of, or a reduction of Trapezoid ABCD, we need to analyze the effects of each transformation on the trapezoid.

A. Translation down, followed by rotation of 90°, followed by dilation by a scale factor of 3.

This transformation involves moving the trapezoid down, rotating it 90 degrees clockwise, and then increasing its size by a scale factor of 3. This transformation does not preserve angles or side lengths, so Trapezoid EFGH is not congruent to Trapezoid ABCD.

B. Rotation of 45°, followed by a reflection, followed by a translation left.

This transformation involves rotating the trapezoid 45 degrees clockwise, reflecting it across a line of reflection, and then moving it left. This transformation does not preserve angles or side lengths, so Trapezoid EFGH is not congruent to Trapezoid ABCD.

C. Dilation by a scale factor of 12, followed by a translation up, followed by a reflection.

This transformation involves increasing the size of the trapezoid by a scale factor of 12, moving it up, and then reflecting it across a line of reflection. This transformation does not preserve angles or side lengths, so Trapezoid EFGH is not congruent to Trapezoid ABCD.

D. Reflection, followed by a dilation of a scale factor of 1, followed by a rotation of 180°.

This transformation involves reflecting the trapezoid across a line of reflection, then increasing its size by a scale factor of 1 (i.e., not changing its size), and then rotating it 180 degrees. This transformation preserves angles and side lengths, so Trapezoid EFGH is congruent to Trapezoid ABCD.

Therefore, the correct answer is D. Trapezoid EFGH is congruent to Trapezoid ABCD after undergoing transformation D.

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since the now has a value of ten so the p is equalled to 59

Answer:

[tex]m = \frac{14 - 7}{2 - 0} = \frac{7}{2} [/tex]

[tex]14 = \frac{7}{2} (2) + b[/tex]

[tex]14 = 7 + b[/tex]

[tex]b = 7[/tex]

[tex]y = \frac{7}{2} x + 7[/tex]

On solving the provided question we can say that As a result, the surface area of the rectangular prism with 3 cm, 9 cm, and 6 cm dimensions is [tex]198 cm^2.[/tex]

The surface area of an object indicates the overall space occupied by its surface. The surface area of a three-dimensional form is the entire amount of space that surrounds it. The surface area of a three-dimensional form refers to its full surface area. By summing the areas of each face, the surface area of a cuboid with six rectangular faces may be computed. As an alternative, you may use the following formula to name the box's dimensions: 2lh + 2lw + 2hw = surface (SA). Surface area is a measurement of the total amount of space occupied by the surface of a three-dimensional object (a three-dimensional shape contains height, breadth, and depth).

The surface area of a rectangular prism is given by the formula:

SA = 2(lw + lh + wh),

where l, w, and h are the rectangular prism's length, width, and height.

SA = 2(3×9 + 3×6 + 9×6)

= 2(27 + 18 + 54)

= 2(99)

= 198 cm²

As a result, the surface area of the rectangular prism with 3 cm, 9 cm, and 6 cm dimensions is [tex]198 cm^2.[/tex]

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Answer:

y = -5x + 14 is the correct equation.

Answer:

3/8x8/3 = 1    

ur welcome I hoped I helped u answering ur question!!

Answer: 1

Step-by-step explanation:

3/8 * 8/3 just simplifies to 1 because the numerator and denominator will be equal meaning it equals 1.

a)  $155.61 is deducted from Violet's paycheck for her 401(k).

b) $19.05 is deposited into Violet's retirement plan each day.

A) To calculate how much is deducted from Violet's paycheck for her 401(k), we need to find her biweekly gross income and then calculate 7% of it.

Violet's biweekly gross income can be found by dividing her annual income by the number of biweekly pay periods in a year, which is 26:

Biweekly gross income = $57,903 / 26 = $2,223

Now, we can calculate the amount that is deducted from Violet's paycheck for her 401(k):

401(k) deduction = 7% of $2,223 = 0.07 x $2,223 = $155.61

Therefore, $155.61 is deducted from Violet's paycheck for her 401(k).

B) To calculate how much is deposited into Violet's retirement plan each day, we need to first find out how much is deposited each pay period.

Violet contributes 7% of her biweekly gross income to her 401(k), which is $155.61 as calculated above. Her employer matches up to 5% of her contribution, so the total contribution to her retirement plan each pay period is:

Total contribution = Violet's contribution + employer's contribution

= $155.61 + (5% of $2,223)

= $155.61 + $111.15

= $266.76

There are 14 days in a biweekly pay period, so we can calculate how much is deposited into Violet's retirement plan each day:

Daily deposit = Total contribution / number of days in pay period

= $266.76 / 14

= $19.05

Therefore, $19.05 is deposited into Violet's retirement plan each day.

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First, we need to calculate the total amount of time the machine runs each day:

Starting time: 09:30

Ending time: 16:10

We can convert the starting time and ending time to minutes:

09:30 = 9 x 60 + 30 = 570 minutes

16:10 = 16 x 60 + 10 = 970 minutes

The total running time of the machine is:

970 - 570 = 400 minutes

Since the machine produces a bolt every 8 seconds, we need to convert the running time from minutes to seconds:

400 x 60 = 24,000 seconds

Finally, we can calculate the number of bolts produced by dividing the total running time by the time it takes to produce one bolt:

24,000 / 8 = 3,000

Therefore, the machine produces 3,000 bolts each day.

Let the speed in still water be [tex]x[/tex] miles per hour.

The speed upstream will be slower than the speed downstream.

Speed upstream [tex]= x-4[/tex] miles per hour and speed downstream will be [tex]x+4[/tex] miles per hour.

[tex]\text{Time Taken}=\dfrac{\text{Distance}}{\text{Speed}}[/tex]

The time taken for the trip upstream and the trip downstream are the same:

[tex]\text{time}_{\text{up}}=\dfrac{3}{x-4}[/tex]

[tex]\text{time}_{\text{down}}=\dfrac{11}{x+4}[/tex]

[tex]\dfrac{11}{x+4} =\dfrac{3}{x-4} \ \ \ \ \ \ \ \leftarrow \ \text{cross multiply}[/tex]

[tex]11(x-4)=3(x+4)[/tex]

[tex]11x-44=3x+12[/tex]

[tex]11x-3x=12+44[/tex]

[tex]8x=56[/tex]

[tex]\bold{x=7}[/tex] miles per hour

Answer:

Step-by-step explanation:

B appears to be the only answer to this problem as the rest are perfect squares meaning their roots will terminate, while there is no guarantee for 8.

B is the correct answer

The centerline is 612, the upper control limit is 710.4, and the lower control limit is 513.6.

To find the centerline, upper control limit, and lower control limit for this data, we need to calculate the average and standard deviation of the values.

Given data:

601, 625, 619, 626, 619, 619, 650, 670, 656, 629, 633, 618, 652, 639, 667

Calculate the average (mean):

Sum = 9180

Number of values = 15

Average = Sum / Number of values = 9180 / 15 = 612

Calculate the standard deviation (SD):

Squared differences from mean:

961, 169, 49, 196, 49, 49, 1444, 3364, 1936, 289, 441, 36, 1600, 729, 3025

Sum of squared differences = 15078

Variance = Sum of squared differences / (Number of values - 1) = 15078 / 14 = 1077

SD = sqrt(Variance) = sqrt(1077) ≈ 32.8

Calculate control limits:

Centerline (CL) = Average = 612

Upper Control Limit (UCL) = CL + 3 * SD = 612 + 3 * 32.8 ≈ 710.4

Lower Control Limit (LCL) = CL - 3 * SD = 612 - 3 * 32.8 ≈ 513.6

The centerline is 612, the upper control limit is 710.4, and the lower control limit is 513.6.

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In the given equation g - h = h - g, where g & h are real-numbers and LHS will be equal to RHS only when values of g & h are equal in magnitude & sign so that LHS & RHS becomes zero..

Natural numbers are used to count things or objects, whereas rational numbers can be used to represent or indicate fractions, irrational numbers are used to calculate or evaluate a number's square root, integers are used to measure temperature, and so on. Real numbers are a collection of several forms of numbers, such as whole, natural, integers, fractions, etc. Integers, both positive and negative, fractions, and irrational numbers are examples of rational numbers that are combined to form real numbers. R's symbol for or representation of the set of real numbers.

Given that g - h = h - g

On simplifying the equation we get:

g - h = h - g

g + g = h + h

2g    = 2h

g      = h

g & h can take any values, but both must be equal in order to satisfy the given condition.

For e.g, let g=h=12

g - h = h - g

12 - 12 = 12 - 12

       0  = 0

Both LHS & RHS can only be zero.

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Answer:

concurrent lines

Step-by-step explanation:

If there are more than 2 lines (or in this case, 3 lines) that meet at a singular and same point, then they are called concurrent lines.

The quadratic equation in the given graph is:

y = -3(x - 1)^2 + 4

How to write the quadratic.

Look at the vertex, is it at (1, 4), then we can write the general quadratic equation in the vertex form (with a leading coefficient a) as follows:

y = a(x - 1)^2 + 4

Now the function passes through (0, 1) then we can replace these values in the equation above to get.

1 = a(0 - 1)^2 + 4

1 = a + 4

1 - 4 = a

-3  =a

The quadratic equation is:

y = -3(x - 1)^2 + 4

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