How much water must be added to 1 litre of 5% cordial mixture to produce a 4% cordial mixture?

Answer: b.−24

Step-by-step explanation:

3x(-4)= -12

-12 x 2= -24

-24

Answer:

Step-by-step explanation:

If Susana runs 2 3/4 miles per 1/4 hour

in one hour

2 3/4=11/4

1h=11/4 *4=11 miles

11 miles/hour

Answer:

fghbjnhgretyiuojkn543545678iuhjgdf

Step-by-step explanation:

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Yes, the 5x5 matrix is diagonalizable because it has two eigenvalues with eigenspaces of dimensions 3 and 2.

A matrix is diagonalizable if and only if the sum of the dimensions of its eigenspaces equals its size (the number of rows or columns).

a matrix is a rectangular array of numbers or symbols arranged in rows and columns. Each element in the matrix is

identified by its row and column index. Matrices are commonly used in linear algebra, where they are used to

represent linear transformations and systems of linear equations.

In this case, the three-dimensional eigenspace and the two-dimensional eigenspace have a combined dimension of 5, which is the size of the matrix.

Therefore, the 5x5 matrix is diagonalizable.

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Question

A is a 5 x 5 matrix with two eigenvalues. One eigenspace is three-dimensional, and the other eigenspace is two-dimensional. Is A diagonalizable?

Change management is a significant challenge for many organizations during enterprise system implementation due to various factors such as resistance to change, organizational culture, lack of employee engagement, and inadequate communication and training.

During enterprise system implementation, organizations typically undergo significant changes in processes, roles, and technologies. This can lead to resistance from employees who may be accustomed to existing ways of working. Resistance to change can hinder the adoption and utilization of the new system, affecting its success.

Organizational culture also plays a role. If the organization has a rigid or hierarchical culture that is resistant to change or lacks a culture of innovation and learning, it becomes difficult to implement and integrate the new system effectively.

Lack of employee engagement and involvement in the implementation process can further impede change. Employees need to understand the reasons behind the change, how it will benefit them and the organization, and be provided opportunities for input and feedback.

Inadequate communication and training can be a major obstacle. Employees must be informed about the changes, their roles and responsibilities, and be provided with sufficient training to effectively use the new system. Insufficient communication and training can lead to confusion, frustration, and resistance.

Overall, change management is crucial during enterprise system implementation to address these challenges and ensure a smooth transition, user acceptance, and successful adoption of the new system.

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Answer:

x = 6 , y = 4 , 2 units

Step-by-step explanation:

2y - 6 = y - 2 ⇒ y = 4

3x - 16 = y - 2

3x - 16 = 4 - 2

3x = 18 ⇒ x = 6

Length of sides of square is 2 units

(A) (4,0), (D) (0, -5), and (E)(2, -5/2) are the solutions of the given equation 5x – 4y = 20.

The equals sign is a symbol used in mathematical formulas to denote the equality of two expressions.

The typical form for linear equations with two variables is Ax+By=C.

For instance, the linear equation 2x+3y=5 is in standard form.

So, we have the equation:

5x – 4y = 20

(A) (4,0)

=5x−4y

=5(4)−4(0)

=20

=RHS

(4,0): YES

(B) (0,5)

=5x−4y

=5(0)−4(5)

=−20

≠RHS

(0,5): NO

(C) (−2, 5/2)

=5x−4y

=5(−2)−4(5/2)

=−10−10

=−20

(−2, 5/2): NO

(D) (0, -5)

=5x−4y

=5(0)−4(−5)

=20

=RHS

(0, -5): YES

(E) (2, -5/2)

=5x−4y

=5(2)-4(-5/2)

=10+10

=20

=RHS

(2, -5/2): YES

Therefore, (A) (4,0), (D) (0, -5), and (E)(2, -5/2) are the solutions of the given equation 5x – 4y = 20.

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Answer:

21

Step-by-step explanation:

This is extremely hard to do on paper so I used a calculator but this is my explanation. So 12% = .12 so the decimal way is 175 x .12 = 21. Pizza was 21 times.

Answer:

Pizza was served on 21 days.

Step-by-step explanation:

12% of 175 days comes out to 21 days.

Pizza was served on 21 days.

Among the given options, an R-squared value of 0.5 is the most satisfactory as it indicates a moderate level of relationship between the variables. So, the correct option is b.

R-squared is a statistical measure that represents the proportion of the variance in the dependent variable that can be explained by the independent variable(s). It ranges from 0 to 1, with 1 indicating a perfect fit and 0 indicating no relationship between the variables.
In this case, an R-squared value of 0.5 means that 50% of the variance in the dependent variable can be explained by the independent variable(s). This is considered a moderate level of explanatory power.

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Answer:

its 540 bro

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

3*7=21

2*7=14

We can use the identity sin²(x) = 1/2 - 1/2 cos(2x) to reduce the power of the trigonometric function to a trigonometric function raised to the first power.

The identity sin²(x) = 1/2 - 1/2 cos(2x) can be derived using the double angle formula for cosine. The double angle formula for cosine states that cos(2x) = cos²(x) - sin²(x).

Rearranging this formula, we get sin²(x) = cos²(x) - cos²(x) + sin²(x).

Simplifying, we get sin²(x) = 1 - cos²(x).

Dividing both sides by 2, we get sin²(x) = 1/2 - 1/2 cos²(x).

Substituting cos²(x) with cos(2x)/2, we get sin²(x) = 1/2 - 1/2 cos(2x).

Therefore, sin²(x) can be expressed as a trigonometric function raised to the first power, 1/2 - 1/2 cos(2x).

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Answer:

\(( \sec \theta - \tan \theta)( \sec \theta + \tan \theta)\)

from difference of two squares:

\({ \boxed{ \tt{( {a}^{2} - {b}^{2}) = (a - b)(a + b) }}}\)

\( = { \sec }^{2} \theta - { \tan}^{2} \theta \\ = (1 + { \tan}^{2} \theta) - { \tan}^{2} \theta \\ = 1\)

hence proved

Answer:

In a representation of 100, the percent change is just a number change, meaning 65 - 52, or 13 is that change. This means that the percent change from 65 to 52 is 13%  

Step-by-step explanation:

The dimensions of the garden are 12.5 feet by 30.5 feet.

To model this situation, we can use two equations. Let the width of the rectangular garden be w feet and the length be l feet.

Then:We know that the perimeter of the garden is 90 feet because the amount of fencing used was 90 feet.Perimeter = sum of all sides2(l + w) = 90Divide both sides by 22(l + w)/2 = 45l + w = 45Now,

we also know that the length of the fence, 1, was 5 feet less than 3 times the width,

w.l = 3w - 5Substitute this equation for l in the first equation:3w - 5 + w = 45Simplify:4w - 5 = 45

Add 5 to both sides :4w = 50Divide both sides by 4:w = 12.5

Now that we know the width of the garden is 12.5 feet, we can use the equation for l to find the length:l = 3w - 5l = 3(12.5) - 5l = 30.5

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Answer:Angle x is congruent with the interior angle opposite side 8 (alternate interior angles)

Use tangent:

tan x = 8/15

x = arctan (8/15)

x = 28.1° (rounded)

Step-by-step explanation:

Answer:

l + w = 25 and lw = 136

w(25 - w) = 136

25w - w² = 36

w² - 25w - 136 = 0

(w - 17)(w - 8) = 0

w = 8, so l = 17

The dimensions of the bookmark are 8 cm by 17 cm.

Answer:

$5.30 is the answer

Step-by-step explanation:

since there are 12 muffins in a dozen muffins and 6 is half of twelve you multiply $2.65 by 2

Answer:

$5.30

Step-by-step explanation:

6 muffins is 2.65, a dozen is 12, 12 is double 6, 2.65 doubled is 5.30!

Answer:

12

Step-by-step explanation:

12-n/2=6

-n/2= -6

n/2=6

n=12

By Cavalieri's Principle, the volume of that slanted cylinder will be the same volume of a non-slanted cylinder with the same altitude.

so we have a cylinder with a radius of 3 and a height of 7 and a cone hitching a ride on it, with a radius of 3 and a height of 3, so let's simply get the volume of each.

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=7\\ r=3 \end{cases}\implies V=\pi (3)^2(7) \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=3\\ r=3 \end{cases}\implies V=\cfrac{\pi (3)^2(3)}{3} \\\\[-0.35em] ~\dotfill\\\\ \pi (3)^2(7)~~ + ~~\cfrac{\pi (3)^2(3)}{3}\implies 63\pi +9\pi \implies 72\pi ~~ \approx ~~ \text{\LARGE 226.19}~in^3\)

The trip took 13 hrs . and 6 min .

Given : Distance of trip from starting point to end point = 750 mi

Avg . speed for trip = 55 mi / h

To find : how many hours did the trip take

Using formula for speed :

speed = distance / time

Substituting values in above formula ,

and let time = t .

55 = 750 / t

t = 750 / 55

t = 13 . 63

≈ 13 hrs . 6 min .

Hence , the trip took 13 hours approx .

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Answer:

x y

1 2

2 2

3 2

4 2

5 2

To write the equation y = -2x + 6 as a table, we need to substitute different values of x into the equation and solve for y. Here is an example of a table with some values of x and the corresponding values of y:

x y

1 4

2 2

3 0

4 -2

5 -4

Step-by-step explanation:

The expected number of votes for Miss Frizzle in the election is 4725

The data that completes the question is as follows:

Miss Frizzle = 45

Miss Reynolds = 75

The expected number of votes for Frizzle is:

Frizzle = 45/120 * 12600

Evaluate

Frizzle = 4725

Hence, the expected number of votes for Miss Frizzle in the election is 4725

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The conclusion of the symbolised argument is that N implies (O and P). This can be proven using conditional proof and the eighteen rules of inference, or using the rule of conjunctive simplification.

The symbolic argument's conclusion is that N implies (O and P). This can be demonstrated using conditional proof and the eighteen inference rules.

Proof:

1. N ⊃ O (Premise)

2. N ⊃ P (Premise)

3. N (Assumption)

4. O (1,3 Modus Ponens)

5. P (2,3 Modus Ponens)

6. O•P (4,5 Conjunction)

7. N ⊃ (O•P) (3-6 Conditional Proof)

8. N ⊃ (O•P) (2,7 Disjunctive Syllogism)

This leads us to the conclusion that N implies (O and P).

Without the use of conditional proof, the identical result can be reached. The conjunctive simplification rule can be used to do this.

Proof:

1. N ⊃ O (Premise)

2. N ⊃ P (Premise)

3. N (Assumption)

4. O (1,3 Modus Ponens)

5. P (2,3 Modus Ponens)

6. O•P (4,5 Conjunction)

7. N ⊃ (O•P) (Conjunctive Simplification)

Therefore, we have derived the conclusion that N implies (O and P).

Complete Question:

Use conditional proof and the eighteen rules of inference to derive the conclusions of the following symbolized arguments. Having done so, attempt to derive the conclusions without using conditional proof.

1. N ⊃ O

2. N ⊃ P / N ⊃ (O • P)

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Answer:

t ≤ 2.8

Leo can travel no more than 2.8 hours or 2 hrs, 48 min

Step-by-step explanation:

50t ≤ 140

t ≤ 140/50

t ≤ 2.8

When a population is subjected to directional selection over time, the traits that are selected for will remain stable while the traits that are selected against will disappear.

Evolution is the study of how populations change over time. Most traits have multiple genes controlling their structure, function, appearance, and other characteristics. Single genes only very infrequently control a trait.

As a result, most traits have a tendency to be continuous in nature and to have a wide range of values. One side of these values will be picked against during directional selection, while the other side will be selected in favor of. Look at the illustration of a lemur's fur color below.

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