HELP PLEASEE ASPA 30 points

Without more information about the dimensions of the matrices involved, it is not possible to determine the values for the elements of the matrix z that represents the total text messages sent by sophomores, juniors, and seniors for a week using the matrix equation z = xy.

In general, the product of two matrices A and B is defined only if the number of columns in A is equal to the number of rows in B. If the dimensions of A are m x n, and the dimensions of B are n x p, then the resulting matrix C = AB will have dimensions m x p.

Therefore, we need to know the dimensions of the matrices x and y in order to determine the dimensions and values of the matrix z. Once we know the dimensions of x and y, we can use the matrix multiplication algorithm to calculate the elements of z.

Without this information, we cannot determine the values for the elements of the matrix z.

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Solution

Given a trapezoid with the following dimensions

To find the perimeter, P, of the polygon, we add up all the side lengths i.e the formula to find the perimeter, P, of the trapezoid is

Where

Subsitute the values into the formula above

Hence, the perimeter is 46ft

Answer: 30  square inches.

Given:

The wooden cutout of the lightning bolt consists of 2 right angled triangles with the legs being 10 inches and 3 inches.

The area of this lightning bolt will be equal to the sum of the areas of the two right angled triangles.

The area of a triangle of base 'b' and height 'h' is given as:

\(A = \frac{1}{2} bh\)

Here \(b=3 , h=10\) Plug in solve for area of one of the triangles.

Therefore, area of the right angled triangle is:

\(A= \frac{1}{2} *3*10= \frac{30}{2} = 15in^{2}\)

Now, the two right angled triangles are congruent. So, total area is twice the area of one of the triangle.

Therefore, total area of the lightning bolt is: \(2 * 15=30in^{2}\)

Answer:

$63

Step-by-step explanation:

First find the cost of bananas per kilogram. To find that, divide $147 by 21

147/21=7

One kilogram of bananas costs $7

Now that you know the cost per kilogram, multiply $7 by the number of kilograms asked in the question, which in this case is 9

7*9=$63

9 kilograms of bananas costs $63

Answer: 63

Step-by-step explanation:

You can set up a proportion cost/weight=cost/weight

\(\frac{147}{21} = \frac{x}{9}\)        Costs go on the top so x is cost for 9 kg

\(x=\frac{147*9}{21}\)

x=63

The value of z if the area to the left of z is 0.9082 will be 1.2816.

The area to the left of a standard normal random variable Z is given by the cumulative distribution function (CDF) of the standard normal distribution. If the area to the left of Z is 0.9082, this means that P(Z <= z) = 0.9082. To find the value of z, we can use a standard normal table or a calculator that can compute the inverse cumulative distribution function (ICDF) of the standard normal distribution, often denoted as "norminv" or "z^-1". In this case, we would find that z = 1.2816, as P(Z <= 1.2816) = 0.9082.

The value of z in this case is 1.2816, as we found that the area to the left of z is 0.9082, which means P(Z <= z) = 0.9082. This value can be found by using a standard normal table or a calculator that can compute the inverse cumulative distribution function (ICDF) of the standard normal distribution.

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The maximum and minimum values of the function f(x, y, z) = 14x + 18y + 12z subject to the given constraint x^2 + y^2 + z^2 = 166 do not exist (DNE).

To find the absolute maximum and minimum values of the function f(x, y) = 4x + 6y - x^2 - y^2 + 2 on the set D = {(x, y) | 0 <= x <= 4, 0 <= y <= 5}, we can use the properties of quadratic functions.

1. Critical Points:

To find the critical points, we need to calculate the partial derivatives of f(x, y) with respect to x and y and set them equal to zero:

∂f/∂x = 4 - 2x = 0  -->  x = 2

∂f/∂y = 6 - 2y = 0  -->  y = 3

The critical point is (2, 3).

2. Boundary Points:

Next, we need to evaluate f(x, y) at the boundary points of set D.

- At (0, 0):

f(0, 0) = 4(0) + 6(0) - (0)^2 - (0)^2 + 2 = 2.

- At (4, 0):

f(4, 0) = 4(4) + 6(0) - (4)^2 - (0)^2 + 2 = -14.

- At (0, 5):

f(0, 5) = 4(0) + 6(5) - (0)^2 - (5)^2 + 2 = -13.

- At (4, 5):

f(4, 5) = 4(4) + 6(5) - (4)^2 - (5)^2 + 2 = -18.

3. Compare Values:

Now, we compare the values of f(x, y) at the critical point and the boundary points to find the absolute maximum and minimum.

f(2, 3) = 4(2) + 6(3) - (2)^2 - (3)^2 + 2 = 16.

Comparing the values:

- Absolute Maximum: f(2, 3) = 16.

- Absolute Minimum: f(4, 0) = -14.

Therefore, the absolute maximum value of f(x, y) on D is 16, and the absolute minimum value is -14.

Now let's move on to the second question regarding the use of Lagrange multipliers.

Using Lagrange multipliers, we can find the maximum and minimum values of the function f(x, y, z) = 14x + 18y + 12z subject to the constraint x^2 + y^2 + z^2 = 166.

The Lagrangian function L(x, y, z, λ) is defined as follows:

L(x, y, z, λ) = f(x, y, z) - λ(g(x, y, z) - c)

Where g(x, y, z) represents the constraint function (x^2 + y^2 + z^2) and λ is the Lagrange multiplier.

1. Find the partial derivatives:

∂L/∂x = 14 - 2λx

∂L/∂y = 18 - 2λy

∂L/∂z = 12 - 2λz

∂L/∂λ = -(x^2 + y^2 + z^2 - 166)

2. Set the partial derivatives equal to zero:

14 - 2λx = 0

18 - 2λy = 0

12 - 2λ

z = 0

-(x^2 + y^2 + z^2 - 166) = 0

3. Solve the system of equations:

From the first equation, we get:

2λx = 14  -->  λx = 7  -->  x = 7/λ

From the second equation, we get:

2λy = 18  -->  λy = 9  -->  y = 9/λ

From the third equation, we get:

2λz = 12  -->  λz = 6  -->  z = 6/λ

Substituting these values into the constraint equation, we have:

(x^2 + y^2 + z^2) - 166 = 0

(7/λ)^2 + (9/λ)^2 + (6/λ)^2 - 166 = 0

49/λ^2 + 81/λ^2 + 36/λ^2 - 166 = 0

166 - 166 = -166

Since there is no solution for this equation, the system of equations does not have a solution.

Therefore, the maximum and minimum values of the function f(x, y, z) = 14x + 18y + 12z subject to the given constraint x^2 + y^2 + z^2 = 166 do not exist (DNE).

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Answer:

I found 6 answers

Step-by-step explanation:

Answer:

D. x = 12

I hope this helps!

Answer:

The Answer Should be x-3y=-4

Step-by-step explanation:

The measure of angle ABC is given as follows:

m < ABC = 145º.

Two angles are defined as supplementary angles when the sum of their measures is of 180º.

In a parallelogram, we have that the opposite angles are supplementary.

The opposite angles for this problem are given as follows:

Hence the measure of angle ABC is given as follows:

m < ABC + 35º = 180º.

m < ABC = 145º.

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The first law of thermodynamics is a fundamental principle in physics that states energy cannot be created or destroyed, only converted from one form to another. It can be expressed in terms of heat and work through the equation:

ΔU = q - w

where ΔU represents the change in internal energy of a system, q represents the heat added to the system, and w represents the work done on or by the system.

Now, let's address when the quantities q and w would be negative numbers.

1) When q is negative: This occurs when heat is removed from the system, indicating an energy loss. For example, when a substance is cooled, heat is extracted from it, resulting in a negative value for q.

2) When w is negative: This occurs when work is done on the system, decreasing its energy. For instance, when compressing a gas, work is done on it, leading to a negative value for w.

In both cases, the negative sign indicates a reduction in energy or the transfer of energy from the system to its surroundings.

In summary, the first law of thermodynamics can be expressed as ΔU = q - w, and q and w can be negative numbers when energy is lost from the system through the removal of heat or when work is done on the system.

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Answer:

x=5

Step-by-step explanation:

The absolute value is positive, so the equation stays the same:

2x-2=8

Add 2 on both sides:

2x=10

Solve:

x=5

Answer:

x=29/12

Step-by-step explanation:

Let's solve your equation step-by-step.

12x−21=8

Step 1: Add 21 to both sides.

12x−21+21=8+21

12x=29

Step 2: Divide both sides by 12.

12x/12 = 29/12

x=29/12

Answer:

d^4-6d^3+d+17/d-2

A bit complicated, sorry about that.

First, let's calculate the slope:

Using this, point (1, -6) and the slope-point form, we get that the equation is:

Thereby, the equation of the line is

Binary integer variables are variables whose values consist of two values, 0 and 1.

Correct answer will be :- b. Variables with values 0 and 1.

These values are also known as bits, which are represented as 0 and 1 in computers. Binary integer variables are used in computing as a way to represent numbers, characters, and instructions. Binary integer variables are used to represent information in digital systems, because they can be used to represent any value with a single bit.

For example, a single bit can represent a number, letter, or instruction. Binary integer variables are also used in computer programming, as they can be used to represent boolean values, such as true and false. Additionally, they can be used to represent various types of data, such as numbers, characters, and images.

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Answer:

p = $340

Step-by-step explanation:

Let p represent the original price.  Then the amount Mary paid was (100% - 74%) of the original price:  0.26p = $88.40.

Solving for p:  p = $340

Check:  what is 74% of $340?  $251.60.  Subtracting this from $340, we get $88.40.  This agrees with the problem statement.

Answer:

80 is but 70 is not, this is because the numbers are doubling 5 * 2 = 10 10 * 2 = 20 so naturally 20 * 2 = 40 40 * 2 = 80 Hope that helps :-)

Answer:

Step-by-step explanation:

You want the proportion and its solution that represents the question, "25% of what number is 9?"

The problem statement is telling us the ratio of 9 to w is 25%:

  \(\dfrac{9}{w}=\dfrac{25}{100}\\\\9\times100=25\times w\qquad\text{multiply by $100w$}\\\\w=\dfrac{9\times100}{25}=36\qquad\text{divide by 25}\)

The number is 36.

__

Additional comment

We like to write these problems using the exact relation given:

  "25% of w is 9"

  0.25w = 9 . . . . . . . . . . . using math symbols

  w = 9/0.25 = 36 . . . . . . solve this one-step equation

The "cross multiplication" step used above inevitably results in multiplying the variable by a number, then dividing by that number. That seems unnecessary.

Answer:

1/2

Step-by-step explanation:

Our answer options are: 0, 1, 1/2

0 = 0/100

1 = 100/100

1/2 = 50/100

Comparing the 3 options, we see that 1/2 is the closest to 48/100!

So, the answer is 1/2

To find the probabilities, we will use the conditional probability formula:

P(A ∩ B) = 0.66 * 0.51

= 0.3366.

P(A' ∩ B) = P(A') * P(B | A')

= 0.34 * 0.27

= 0.0918.

P(B) = 0.3366 + 0.0918

= 0.4284.

P(A | B) = P(A ∩ B) / P(B). P(A | B)

= 0.7851.

1. P(A ∩ B): We need to find the probability of events A and B occurring together. Since we are given P(A) and P(B | A), we can calculate P(A ∩ B) using the formula P(A ∩ B) = P(A) * P(B | A).
  P(A ∩ B) = 0.66 * 0.51 = 0.3366.

2. P(A' ∩ B): We need to find the probability of event A' (not A) and B occurring together. Since we are given P(B | A') and P(A'), we can calculate P(A' ∩ B) using the formula P(A' ∩ B) = P(A') * P(B | A').
  To find P(A'), we subtract P(A) from 1: P(A') = 1 - P(A) = 1 - 0.66 = 0.34.
  P(A' ∩ B) = P(A') * P(B | A') = 0.34 * 0.27 = 0.0918.

3. P(B): We need to find the probability of event B occurring. We can use the Law of Total Probability: P(B) = P(A ∩ B) + P(A' ∩ B).
  P(B) = 0.3366 + 0.0918 = 0.4284.

4. P(A | B): We need to find the probability of event A occurring given that B has occurred. Using the conditional probability formula, P(A | B) = P(A ∩ B) / P(B).
  P(A | B) = 0.3366 / 0.4284 = 0.7851.

To summarize:
- P(A ∩ B) = 0.3366
- P(A' ∩ B) = 0.0918
- P(B) = 0.4284
- P(A | B) = 0.7851.

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The probabilities are as follows, P(B) = 0.5032 and P(A | B) = 0.6686. To find the requested probabilities, we can use the conditional probability formula: P(A | B) = P(A and B) / P(B)

Let's calculate each probability step by step:
1. P(B and A): This represents the probability of both events B and A happening simultaneously. Since P(B | A) = 0.51, we can use this value along with P(A) = 0.66 to calculate P(B and A):
P(B and A) = P(B | A) * P(A) = 0.51 * 0.66 = 0.3366
2. P(B and A complement): This represents the probability of event B happening while A does not happen. We can use P(B | A complement) = 1 - P(B | A) = 1 - 0.51 = 0.49 to calculate P(B and A complement):
P(B and A complement) = P(B | A complement) * (1 - P(A)) = 0.49 * (1 - 0.66) = 0.1666
3. P(B): This represents the probability of event B happening. We can calculate this using the law of total probability:
P(B) = P(B and A) + P(B and A complement) = 0.3366 + 0.1666 = 0.5032
4. P(A complement): This represents the probability of event A not happening. We can calculate this by subtracting P(A) from 1:
P(A complement) = 1 - P(A) = 1 - 0.66 = 0.34
5. P(B | A complement): This represents the probability of event B happening given that event A does not happen. We are given that P(B | A complement) = 0.27, so no further calculation is needed.
Now, we can find the remaining probability:
6. P(A | B): This represents the probability of event A happening given that event B happens. We can calculate this using the conditional probability formula:
P(A | B) = P(A and B) / P(B) = 0.3366 / 0.5032 = 0.6686

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Answer:

paid to buy = 1850

profit = 10%

Step-by-step explanation:

2035 = 110%

1% ~ = 18.5

100% = 1850

2035 - 1850 = 185

185 / 1850 * 100 = 10% profit

The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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Another possible vertex of the square is determined as (2, 1).

option B is the correct answer.

The vertex of a figure is the point of intersection of two sides of the shape.

The perimeter of the square is given as 12 units, the length of each side of the square is calculated as follows;

P = 12 units

a side length = 12 units / 4 = 3 units

To determine another possible vertex of the square, the length between the points must be equal to 3.

Let's consider point A;

A = (1, 2)

given vertex = (-1, 1)

distance between the points = √ (-1 -1)² + (1 - 2)² = √5

Let's consider point B;

B = (2, 1)

given vertex = (-1, 1)

distance between the points = √ (-1 -2)² + (1 - 1)² = √9 = 3

Thus, point B is another possible vertex of the square.

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To find the value of j - i, we need to determine the relationship between the surface areas (An) and volumes (Vn) of the unit ball in Rn for different positive integers n.

For the unit ball in Rn, the formula for surface area (An) and volume (Vn) are given by:

An = (2 * π^(n/2)) / Γ(n/2)

Vn = (π^(n/2)) / Γ((n/2) + 1)

where Γ denotes the gamma function.

To find the value of j - i, we need to identify the positive integers i and j such that Ai > Ak for all k not equal to i, and Vj > Vk for all k not equal to j.

First, let's analyze the relationship between An and Vn. By comparing the formulas, we can see that:

An / Vn = [(2 * π^(n/2)) / Γ(n/2)] / [(π^(n/2)) / Γ((n/2) + 1)]

      = 2 / [n * (n-1)]

From this equation, we can deduce that An / Vn > 1 if and only if 2 > n * (n-1).

To find the positive integer i, we need to identify the highest positive integer n for which 2 > n * (n-1) holds true. We can observe that this condition is satisfied for n = 2. Therefore, i = 2.

Now, let's find the positive integer j. We need to identify the lowest positive integer n for which 2 > n * (n-1) does not hold true. We can observe that this condition is no longer satisfied for n = 3. Therefore, j = 3.

Finally, we can calculate j - i as follows:

j - i = 3 - 2 = 1

Therefore, j - i equals 1.

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Answer:

40 cm

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = lb ( l is the length and b the breadth )

Here b = 20 and A = 800 , then

l × 20 = 800 ( divide both sides by 20 )

l = 40 cm

Answer:

x=2164.50

Step-by-step explanation:

tan13=500/x

x=500/tan13

x=500/0.231

x=2164.50

I think this is correct but im not to sure

The coordinates of the point on the directed line segment are (-4, 4).

What is partitions of the segment?

Finding a position that is an equal distance from A and b equal distance from B is necessary for partitioning a line segment, AB, into a ratio of a/b.

Trying to find the coordinates of point that splits the line between (-7, -2) to (-2, 8) at a ratio of 3:2.

Since the ratio is 3:2 we are going o find the point that is 3/5 of the distance from (-7, -2) to (-2, 8).

For the x coordinate, find the distance between x coordinates (-2-(-7)) = 5.

Take 3/5 of 5 equals to 3 and add that to the first x coordinate (-7) to get the x - coordinate of interest -4.

For the y - coordinate, find the distance between y coordinates (8-(-2)) = 10.

Take 3/5 of 10 equals to 6 and add that to to the first y coordinate (-2) to get the y coordinate of interest 4.

The coordinates of the point on the directed line segment  from (-7, -2) to (-2, 8) that partitions the segment into a ratio of 3:2 are (-4, 4).

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