Help me pleaseeeeeeee

when multiplying two matrices A and B with m>n, the product AB will always result in a square matrix with linearly dependent rows or columns, causing its determinant to be 0.

To explain why the product of matrices A and B has det(AB)=0 when m>n, let's first understand the basics of matrix multiplication and determinants.
Matrix multiplication: If A is an m by n matrix and B is an n by m matrix, then their product AB is an m by m square matrix. To calculate the product, the number of columns in A (n) must be equal to the number of rows in B (n).
Determinants: The determinant is a scalar value that can be computed for any square matrix (i.e., the number of rows and columns are equal). The determinant is used to understand certain properties of the matrix, such as invertibility. If the determinant is 0, the matrix is singular and not invertible.
Example 1 (m < n): Let A be a 2x3 matrix and B be a 3x2 matrix. Their product AB is a 2x2 square matrix. The determinant can be calculated for AB, but not for A or B, as they are not square matrices.
Example 2 (m > n): Let A be a 3x2 matrix and B be a 2x3 matrix. Their product AB is a 3x3 square matrix. Since m > n in this case, the resulting product matrix will have linearly dependent rows or columns, which implies that its determinant will be 0.

for more questions on determinant

https://brainly.com/question/14218479

#SPJ11

Answer:

x = 292.2 pounds (£)

Step-by-step explanation:

Write and solve an equation of ratios:

 € 1        £0.72

--------- = ----------

€410         x

Cross-multiplying, we get:

x = 292.2 pounds (£)

If p is a prime number and a is a positive integer, then pa has (a+1) distinct positive divisors.

A prime number is a positive integer greater than 1, which is divisible only by 1 and itself. Divisors are the numbers that evenly divide a given number.

For a prime number p raised to the power of a (p^a), the number of distinct positive divisors can be found using the following formula:

Number of divisors = (a + 1)

This is because each power of p from 0 to a can divide p^a without any remainder, giving us a total of a + 1 distinct divisors. These divisors are:

1, p, p^2, p^3, ..., p^(a-1), p^a

For example, if p = 2 (a prime number) and a = 3 (a positive integer), then the number of distinct positive divisors for 2^3 (which is 8) would be:

Number of divisors = (3 + 1) = 4

The divisors for 2^3 (8) are 1, 2, 4, and 8.

Learn more about Prime numbers here: brainly.com/question/30358834

#SPJ11

Answer:

1.5x + 2

Step-by-step explanation:

(3x + 4)/2 = 1.5x + 2

Answer: (h*g)(-5) = -289

Step-by-step explanation:

          This asks us to find the value of the functions multiplied together when a is equal to -5.

(h*g)(-5)

((4a + 3)(-4a - 3)), a = (-5)

(4(-5) + 3) * (-4(-5) - 3)

(-20 + 3) * (20 - 3)

(-17) * (17)

-289

Answer: 6 apple pies and 4 shoo-fly pies were made.

Step-by-step explanation:

Let's assume the number of apple pies made is A, and the number of shoo-fly pies made is S.

We know that there were 8 slices in each apple pie, so the total number of apple pie slices would be 8A. Similarly, the total number of shoo-fly pie slices would be 10S.

We also know that the total number of slices available was 84. So we can write an equation:

8A + 10S = 84

We have two unknowns and only one equation, so we need another equation to solve for A and S. We know that the siblings made a total of 10 pies. So we can write another equation:

A + S = 10

Now we have two equations and two unknowns, so we can solve for A and S. We can use substitution to eliminate one variable:

A + (10 - A) = 10

10 = 2A + 10

2A = 0

A = 0

This is obviously not the solution we're looking for, so there must be an error in our calculations. Let's check our first equation:

8A + 10S = 84

If A = 0, then we have:

10S = 84

S = 8.4

This is also not a valid solution since we can't make 8.4 shoo-fly pies. The mistake we made was assuming that both A and S were whole numbers. We can fix this by using another equation:

A + S = 10

We know that A and S are both whole numbers and that A + S = 10. The only pairs of whole numbers that add up to 10 are (1, 9), (2, 8), (3, 7), (4, 6), and (5, 5).

Let's try each pair and see which one gives us a valid solution:

(1, 9): 8(1) + 10(9) = 98 (not 84)

(2, 8): 8(2) + 10(8) = 96 (not 84)

(3, 7): 8(3) + 10(7) = 94 (not 84)

(4, 6): 8(4) + 10(6) = 92 (not 84)

(5, 5): 8(5) + 10(5) = 90 (not 84)

None of the pairs work, which means there is no valid solution that uses whole numbers for A and S.

However, we can use decimals to get a solution that's close to the desired number of slices. Let's try (4.2, 5.8):

8(4.2) + 10(5.8) = 84.4 (close to 84)

This means that the siblings made 4.2 apple pies and 5.8 shoo-fly pies. Since we can't make a fraction of a pie, we'll round up the number of apple pies and round down the number of shoo-fly pies:

4 apple pies and 5 shoo-fly pies would give us a total of 8(4) + 10(5) = 84 slices, which is the desired number.

Answer:

                                                          (10 hours 11 minutes)

Step-by-step explanation:

\(3\frac13+4\frac34+2\frac1{10}=3+4+2+\frac13+\frac34+\frac1{10}=9+\frac{20}{60}+\frac{45}{60}+\frac6{60}=9+\frac{71}{60}=\\\\=9+1\frac{11}{60}=10\frac{11}{60}\)

Option A) 15% is the most suitable representation of the probability of an unlikely event since it falls within the valid range of 0 to 1.

To determine the probability of an event, we typically express it as a value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. In this case, we are looking for the probability of an unlikely event, which means the probability value should be relatively low.

Let's analyze each option:

A) 15%:

This option represents a probability value of 15%, which can also be expressed as 0.15. Since 0.15 is greater than 0 and less than 1, it falls within the valid range for a probability value. Therefore, option A) 15% is a reasonable representation of the probability of an unlikely event.

B) 9/2:

This option represents a fraction, 9/2, which is equal to 4.5. Since 4.5 is greater than 1, it does not fall within the valid range for a probability value. Therefore, option B) 9/2 is not a suitable representation of the probability of an unlikely event.

C) 0.99:

This option represents a probability value of 0.99. Although 0.99 is close to 1, it is still greater than 0. Therefore, option C) 0.99 is not a suitable representation of the probability of an unlikely event.

D) -3:

This option represents a negative value, -3. In probability theory, probabilities cannot be negative since they represent the likelihood of an event occurring. Therefore, option D) -3 is not a valid representation of the probability of an event.

In summary, option A) 15% is the most suitable representation of the probability of an unlikely event since it falls within the valid range of 0 to 1.

for such more question on probability

https://brainly.com/question/13604758

#SPJ8

Answer:

25/100

Decimal fractions always have a denominator based on a power of 10. ... Therefore, the decimal 0.5 is equivalent to 1/2 or 2/4, etc.

Step-by-step explanation:

i g00gled it

Answer:

-3 degrees per hour

Step-by-step explanation:

Answer: (1,2)

Step-by-step explanation:

1)

x+y=3

y=-x+3

x | 0 | 3 |

y | 3 | 0 |

2)

3x+y=5

y=-3x+5

x | 0 | 2 |

y | 5 | -1 |

The goal of the "Requirements Gathering" phase of an SDLC is to produce a list of requirements for a new or revised information system.

What is SDLC?

SDLC stands for Software Development Life Cycle. It is a systematic approach or framework used in software development projects to guide the development process from initiation to deployment and maintenance.

During the Requirements Gathering phase of the SDLC, the primary objective is to gather and document all the necessary information regarding the desired functionalities, features, and specifications of the new or revised information system. This phase involves close collaboration between stakeholders, including business analysts, system analysts, project managers, and end-users.

The process typically begins with conducting interviews and meetings with stakeholders to understand their needs, expectations, and goals for the system. This can involve discussions with managers, users, subject matter experts, and other individuals who will be affected by the system. Various techniques such as questionnaires, surveys, and brainstorming sessions may be employed to gather comprehensive requirements.

learn more about SDLC Here:

https://brainly.com/question/30089251

#SPJ4

Answer: 11

Step-by-step explanation:

Use distance formula: \(\sqrt{(x_1 - x_2)^2 + (y_2 - y_1)^2\\}\)

5 - 5 = 0

7 - - 4 = 7 + 4 = 11

\(\sqrt{11^2} = 11\)

Answer:

29 runs are needed to break the record.

Step-by-step explanation: He has 32 runs batted in.

Answer: 61 runs

Step-by-step explanation: Tell me if correct

Explanation

To solve the question, we will be aware that

There are 3 hours between 6PM and 9PM ,

The main pump's emptying rate is 1/4 tanker per hour. It will be open

the entire 3 hours, so it will empty 3/4 of the tank.

this means that the auxiliary pump must empty the remaining 1/4

Thus

Thus, we will have

Therefore

The auxiliary pump should start by 6pm + 45 minutes = 6:45pm

Best-case analysis refers to finding the scenario in which an algorithm performs most efficiently, requiring the fewest number of operations.(option c)

This analysis is useful for understanding the lower bound or the best-case time complexity of an algorithm. In contrast, worst-case analysis considers the scenario where the algorithm performs least efficiently and requires the maximum number of operations.

Average-case analysis takes into account the expected or average input and calculates the average number of operations. Usual-case analysis is not a commonly used term in computer science and may not be as relevant in this context. Therefore, best-case analysis is the term that specifically addresses the fewest number of operations required for a given n.

The term that determines the fewest number of operations required for a given n is the best-case analysis.  It focuses on the best possible input that the algorithm can encounter.

To know more about algorithm visit:

https://brainly.com/question/33268466

#SPJ11

Answer:

?

Step-by-step explanation:

which questions? You didn't write questions

a) To solve the recurrence relation an = an-1 + 3(n-1), a0 = 1, we can expand the recurrence relation iteratively.

a1 = a0 + 3(1-1) = 1 + 0 = 1

a2 = a1 + 3(2-1) = 1 + 3 = 4

a3 = a2 + 3(3-1) = 4 + 6 = 10

a4 = a3 + 3(4-1) = 10 + 9 = 19

...

We can observe a pattern from the values:

a0 = 1

a1 = 1

a2 = 4

a3 = 10

a4 = 19

We can notice that an = \(n^2 + 1.\) We can prove this by induction, but in this case, we can also recognize that the given recurrence relation generates the triangular numbers (1, 3, 6, 10, 15, ...), which are defined by the formula Tn = n(n+1)/2.

Thus, the solution to the recurrence relation is an = \(n^2 + 1.\)

b) For the recurrence relation an = an-1 + n(n-1), a0 = 3, we can again expand it iteratively:

a1 = a0 + 1(1-1) = 3 + 0 = 3

a2 = a1 + 2(2-1) = 3 + 2 = 5

a3 = a2 + 3(3-1) = 5 + 6 = 11

a4 = a3 + 4(4-1) = 11 + 12 = 23

...

Observing the values, we can notice that an =\(n(n^2 + 1).\)

Thus, the solution to the recurrence relation is an = \(n(n^2 + 1).\)

c) For the recurrence relation an = an-1 +\(3n^2\), a0 = 10, we expand it iteratively:

a1 = a0 + \(3(1^2)\) = 10 + 3 = 13

a2 = a1 + \(3(2^2) =\) 13 + 12 = 25

a3 = a2 + \(3(3^2)\)= 25 + 27 = 52

a4 = a3 + \(3(4^2)\)= 52 + 48 = 100

...

We can notice that an = \(n^3 + 10.\)

Thus, the solution to the recurrence relation is an = \(n^3 + 10.\)

These are the solutions to the given recurrence relations.

Learn more about recurrence relation here:

https://brainly.com/question/4082048

#SPJ11

Using the rules of exponents, the expression (5 x^−5 y^3)^−2 is equivalent to x^10 / (25 y^6) or "x raised to the tenth power over quantity 25 times y raised to the sixth power end quantity".

Given: (5 x^−5 y^3)^−2

1. Distribute the power of two using the Power of a Power Rule. "When a power is raised to another power, multiply the exponents."

5^−2 x^(−5)(−2) y^(3)(−2) =  5^−2 x^10 y^-6

2. Use Negative Rule of Exponent. "A number with a negative exponent should be put to the denominator, and vice versa."

5^−2 x^10 y^-6 = (x^10) / (5^2 y^6)

3. Simplify the constant term.

(x^10) / (5^2 y^6) = x^10 / 25 y^6

Learn more about rules of exponents here: brainly.com/question/11975096

#SPJ4

Answer:

-3

Step-by-step explanation:

{2/3 × 0} -3

{0} -3

0-3 = -3

Answer:

-(√2) + √3

Step-by-step explanation:

2√3 - (√2 + √3)

2√3 - √2 - √3

2-1√3 - √2

√3 - (√2)

or.

-(√2) + √3

the answer is not in the possible answers

Answer:

432

Step-by-step explanation:

-12(-36) = 432

The volume formed by rotating the region enclosed is 727π/3 cubic units.

To find the volume formed by rotating the region enclosed by y = 3√x and y = x about the line x = 10, we can use the method of cylindrical shells.

First, we need to find the limits of integration for x. The two curves intersect at:

3√x = x

Solving for x, we get:

x = 0 or x = 27

So the limits of integration for x are 0 and 27.

Next, we need to find the radius of each cylindrical shell. The distance between the line x = 10 and a point (x, y) on the curve y = 3√x is:

r = 10 - x

Therefore, the volume of each cylindrical shell is:

dV = 2πy r dx

Substituting y = 3√x - x, and r = 10 - x, we get:

dV = 2π(3√x - x)(10 - x) dx

Integrating from x = 0 to x = 27, we get the total volume:

V = ∫(0 to 27) 2π(3√x - x)(10 - x) dx

Simplifying the integrand, we get:

V = 2π ∫(0 to 27) (30√x - \(2x^2\) - 3x√x) dx

Integrating each term separately, we get:

V = 2π [20\(x^{(3/2)}\) - (2/3)\(x^3\) - (6/5)\(x^{(5/2)}\)] from x = 0 to x = 27

Simplifying, we get:

\(V = 2\pi [20(27)^{(3/2)} - (2/3)(27)^3 - (6/5)(27)^{(5/2)}]\)

= 2π [4860 - 6561/3 - 3402]

= 2π (1093/3)

= 727π/3

Therefore, the volume formed by rotating the region enclosed by y = 3√x and y = x about the line x = 10 is 727π/3 cubic units.

Learn more about volume region enclosed

brainly.com/question/30352165

#SPJ11

Answer:

-7/3

Step-by-step explanation:

2(6−4)=3(6+2)

2(6x-4)=3(6x+2)

Solve

1

Distribute

2(6−4)=3(6+2)

{\color{#c92786}{2(6x-4)}}=3(6x+2)

12−8=3(6+2)

{\color{#c92786}{12x-8}}=3(6x+2)

2

Distribute

12−8=3(6+2)

12x-8={\color{#c92786}{3(6x+2)}}

12−8=18+6

12x-8={\color{#c92786}{18x+6}}

3

Add

8

8

to both sides of the equation

12−8=18+6

12x-8=18x+6

12−8+8=18+6+8

12x-8+{\color{#c92786}{8}}=18x+6+{\color{#c92786}{8}}

5 more steps

Solution

=−7/3

Use distributive property and PEMDAS

2(6x-4)=3(6x+2)

12x-8=18x+6

now add like variables....

-12x on both sides..

6x-8=6

+8 on both

6x=14

divide 6 on both sides

14/6 is

2.33

Answer:

The angle made by the line segments from the chord's endpoints to the centre or at any point on the circle, then the angle formed is called the angle subtended by the chord at a point

Step-by-step explanation:

Answer:

Step-by-step explanation:

I believe you mean the angle subtended by two chords. The angle is called an inscribed angle

Neil is growing sugar crystals for his science fair experiment. He wants to find out if the amount of sugar affects the size of the crystal. Neil adds 18 tablespoons of sugar to his first bowl of water. He plans to add less sugar to the second bowl.

For such more questions on Neil

https://brainly.com/question/31278726

#SPJ8

Answer:

8

Step-by-step explanation:

The first step is to simplify the fraction inside the parentheses,

using a^b / a^c = a^(b-c)

6^7  3^3             6^(7-6)   3^(3-4)   = 6^1  3^-1   =  6/3  =2

-----------------  =                                                    

6^6    3^4          

Now we take care of the outside parentheses

3^2 = 2*2*2 = 8                                                            

Answer:

a=7

b=31

c=28

d=13

e=65

Step-by-step explanation:

this is the right answer.

Answer:

a=7

b=31

c=28

d=13

e=65

Step-by-step explanation:

A clementine sphere's volume is approximately  22.44 cubic inches.

According to the question, given that

The typical clementine has a diameter of 3.5 inches and is shaped like a sphere. . use 3.14 for \(\pi\)

The formula for a sphere's volume is

\(\frac{4}{3} \pi r^{3}\)

We know the diameter, but we can easily convert this into the radius by dividing it by 2, since the diameter is twice as long as the radius.

3.5/2 = 1.75

Now we can find the volume.

So, the average volume of a clementine is 22.46 cubic inches

Therefore, approximate volume of a clementine sphere is 22.44 cubic inches

The quantity of space occupied within a sphere is referred to as its volume. Every point on the surface of the sphere is equally spaced from its center, making it a three-dimensional round solid object. The fixed point and fixed distance are referred to as the sphere's center and radius, respectively. We will see the form alter when the circle is rotated. Thus, the rotation of the two-dimensional circular object yields the three-dimensional sphere shape.

To learn more about volume of sphere visit here :https://brainly.com/question/9994313

#SPJ4