Determine whether the subset of Mn,n is a subspace of Mn,n with the standard operations of matrix addition and scalar multiplication.
The set of all n × n upper triangular matrices
subspacenot a subspace

Answer:

3rd one down

Step-by-step explanation:

(1,5), (2,9), (3,13), (4,17)

The table C is Solution for the Equation.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

given:

Equation: y= 4x+ 1

When x= 1

y = 5

and, x= 2

y= 8 + 1= 9

and, x= 3

y= 12 + 1= 13

and, x=4

y = 16 + 1 = 17

Thus, the solution for the Equation is (1, 5), (2, 9), (3, 13) and (4, 17).

Hence, the table C is Solution for the Equation.

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Answer:

Step-by-step explanation:

Answer:

b = 10

Step-by-step explanation:

You take the decimal, divide it by the addend and then you take the fraction and subtract that by the sum and then multiply your answer by 5.

Therefore, Alvin's average paddling rate for a canoe trip to a campsite was 6 km/hr

Let's find out Alvin's average paddling rate for a canoe trip to a campsite.The distance Alvin paddled on the way to the campsite is the same as on the way back since he travelled to the same place and back to his initial location.

The rate at which Alvin paddled to the campsite is given by the relation;

r - 3 = (total distance)/(time taken to get to the campsite).

Where r is Alvin's average paddling rate, 3 is the speed of the river current, the total distance is D, and the time taken to get to the campsite is 9 hours.

On the way back, Alvin's rate of paddling is given by;

r + 3 = (total distance)/(time taken to get back from the campsite).

Where r is Alvin's average paddling rate, 3 is the speed of the river current, the total distance is D, and the time taken to get back from the campsite is 4 hours.Since the distance Alvin paddled to and from the campsite is the same, we can use D = rt.

Therefore, we can get an equation in r only:

r - 3 = D/9(r) + 3

r= D/4

Now, we need to solve for D. We can do this by setting both expressions equal to each other. That is:

r - 3 = r + 3D/9

r-3 = D/4(4)D/9

r-3= D/4

Multiplying both sides by 36 gives:

4D = 9D/4 * 36D

D= 81 km

Therefore, the distance of the campsite is 81 km.

Using D = rt,

we can find the average paddling rate r:

r = D/t

r = 81/(9 + 4) r

r = 6 km/hr.

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The 99% confidence interval for the actual percentage of medical malpractice cases that were either rejected or dropped is |Z|= 13.784

We are open to the alternative theory that

The proportion of medical malpractice cases that are settled or rejected varies from the proportion that proceed to trial.

Our null and alternative hypotheses are initially written down.

H0: No distinction

H1: There is a distinction

n = 1228

P = 856

X = n-p

= 372

Z is equal to (((x+0.5)-1228/2 divided by 1228/2).

= 372.5 - 614/17.52

= -13.784

|Z|= 13.784

Because there is evidence suggesting a lawsuit will be dismissed if the value is greater than 0.5, the choice is made to reject the null hypothesis and embrace the alternative. Therefore, there are distinctions between lawsuits that proceed to trial and those that are dismissed.

The actual percentage of medical malpractice cases that were either rejected or abandoned has a 99% confidence interval of |Z|= 13.784

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In regression analysis, the independent variable is typically plotted on the x-axis.

The x-axis represents the independent variable or predictor variable, which is the variable that is believed to influence or have an impact on the dependent variable. This variable is typically plotted horizontally on the graph.

For example, let's say we are studying the relationship between the amount of study time and exam scores. In this case, the independent variable would be the amount of study time, which could be measured in hours.

By plotting the amount of study time on the x-axis, we can visually analyze how it relates to the dependent variable, which is the exam scores, typically plotted on the y-axis. This helps us understand the nature and strength of the relationship between the two variables.

So, in summary, the independent variable is plotted on the x-axis in regression analysis.

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The  solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).

One method to solve the given system of equations is substitution:

- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).

- Substitute the expression for the variable into the other equation.

- Solve the resulting equation for the remaining variable.

- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable

Using this method with the given equations

- x - y = 9 -> x = 9 + y

- 3x + 2y = 22 -> 3(9 + y) + 2y = 22

- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1

- Substituting y = -1 into x = 9 + y: x = 8

To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.

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Answer:

ok

Step-by-step explanation:

ok

Answer:

16

Step-by-step explanation:

=6(4)-(8)

=24-8

=16

The number x is approximately equal to -2.76 which is 1\6th part decreased by 7 equals it's 8\9 part diminished by 1

The problem involves finding the value of a number, x, such that 1/6th of the number decreased by 7 is equal to 8/9 of the number diminished by 1.

To solve for x, we can start by representing 1/6th of the number as x/6 and 8/9 of the number as 8x/9.

Next, we can substitute these expressions into the equation that states that 1/6th of the number decreased by 7 is equal to 8/9 of the number diminished by 1:

x/6 - 7 = 8x/9 - 1

We can simplify and isolate x by multiplying both sides by 9:

9x/6 - 63 = 72x/9 - 9

Next, we can simplify both sides and combine like terms:

9x/6 - 63 = 72x/9 - 9

9x/6 = 72x/9 - 9 + 63

9x/6 = 72x/9 + 54

Finally, we can isolate x by dividing both sides by 9/6:

x = (72x/9 + 54) * 6/9

x = (72/9 + 54/9) * x + 54 * 6/9

x = 126/9 * x / 9 + 54 * 6/9

To solve for x, we can subtract 126/9 * x / 9 from both sides:

x - 126/9 * x / 9 = 126/9 * x / 9 + 54 * 6/9

(9 - 126/9) * x / 9 = 54 * 6/9

-117/9 * x / 9 = 54 * 6/9

-117/9 * x = 54 * 6

Finally, we can isolate x by dividing both sides by -117/9:

x = 54 * 6 / (-117/9)

x = 54 * 6 * 9 / -117

x = 324 / -117

The number x is approximately equal to -2.76. This means that 1/6th of the number decreased by 7 is equal to 8/9 of the number diminished by 1.

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|CD| is parallel to |AB|

Also;

ANSWERS:

(a) The measured angle ACD is 65degrees

(b) The measured angle DCB is 35degrees

(c) The measured angle ACB is 30 degrees

The inequality which correctly represents the situation of the Lakeside hotel as described is; 28x + 98y ≤ 14,400.

As evident in the task content, it can be inferred that;

x = the number of single rooms and

y = the number of suites

Hence, since single rooms take up 28 square meters; it follows that for x single rooms; we have; 28x.

Additionally, since suites take up 98 square meters; it follows that for y suites; we have; 98y.

Therefore, since there are a maximum of 14,400 square meters available, the inequality which correctly represents the situation of the Lakeside hotel is; 28x + 98y ≤ 14,400.

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Answer:

false

Step-by-step explanation:

What x-value makes the set of ratios equivalent? Tiles 2 : 3 = 6 : x ,4 : 7 = x : 42 , 2x : 48 = 3 : 12, 12 : 15 = x : 20

Part 1

we have

2 : 3 = 6 : x

value of x=9

Part 2

4 : 7 = x : 42

x=24

Part 3

2x : 48 = 3 : 12

2x=12

x=6

Part 4

12 : 15 = x : 20

x=16

Answer:

A

Step-by-step explanation:

Answer:

x = 73°

Step-by-step explanation:

I added a photo of my notes

An inscribed angle is equal to half the arc on which it rests

So, according to the photo I've added (knowing that a full circle forms 360 degrees) we can write an equation:

2x + 214° = 360°

2x = 360° - 214°

2x = 146° / : 2

x = 73°

I not sure if this is the right answer, though...

The number of permutations of {a, b, c, d, e, f} that have b between a and c is 120. To determine the number of permutations, we need to consider the positions of a, b, and c in the sequence.

Since b must be between a and c, there are three possible positions for b: either it comes after a and before c (abc), after c (acb), or before a (bac).

Once the positions of a, b, and c are fixed, the remaining three letters (d, e, f) can be arranged in any order. Since there are 3! = 6 ways to arrange the remaining three letters, the total number of permutations with b between a and c is 3 * 6 = 18.

However, for each of the three arrangements (abc, acb, bac), the remaining three letters (d, e, f) can be arranged in 3! = 6 different ways. Therefore, the total number of permutations is 3 * 6 = 18 * 6 = 120.

Hence, there are 120 permutations of {a, b, c, d, e, f} that have b between a and c, such as dfaebc and cbaedf.

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none of the dot products are equal to b, we can conclude that b is not in the set spanned by the columns of A. C. 13 2 13 2 13 2 L1 1 2 1 1 2 111] 33 3 4 56 3 3 2！

First we need to create a 3x3 matrix A, with nonzero entries. We can do this by choosing any non-zero entries for each of the nine elements in the matrix. For example:

A = [11 13 1114 3

     13 2 13 2

     111] 33 3 4]

Next, we need to create a vector b in R3 that is not in the set spanned by the columns of A. To do this, we can choose any three values that are different from the values in A. For example:

b = [9 1 2]

Now we can check if b is not in the set spanned by the columns of A. To do this, we can calculate the dot product of b and each column of A. If the dot product of any of the columns is equal to b, then b is in the set spanned by the columns of A. Since none of the dot products are equal to b, we can conclude that b is not in the set spanned by the columns of A.

The complete question is : Construct a 3x3 matrix A, with nonzero entries, and a vector b in R3 such that b is not in the set spanned by the columns of A. Choose the correct answer below 11 13 1114 3 A. B. L333J 333] 111] L9 「1 1 2 33 3 4 56 3 3 21 C. D. 13 2 13 2 13 2 L1 1 2 1 1 2 111] 33 3 4 56 3 3 2！

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Answer:

5/4 or 1 1/4 or 1.25

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( -2 - -2)/( 12 - 6)

    = ( -2+2)/( 12-6)

    = 0/6

    = 0

The derivative of the function f(x) = 3 ln(x) is f'(x) = 3/x. The domain of f(x) consists of positive real numbers, excluding zero, as the natural logarithm is only defined for positive values. Thus, the domain of f(x) is (0, +∞) in interval notation.

To differentiate f(x) = 3 ln(x), we can use the derivative rules. The derivative of ln(x) is 1/x, and when multiplied by the constant 3, we get f'(x) = 3/x. This derivative represents the instantaneous rate of change of f(x) with respect to x at any given point.

The domain of f(x) is the set of values for x that produce meaningful output for the function.

In this case, the natural logarithm function ln(x) is only defined for positive values of x.

Therefore, the domain of f(x) consists of positive real numbers. However, it is important to note that the value x = 0 is not included in the domain, as the natural logarithm is undefined at x = 0.

Therefore, the domain of f(x) can be expressed as (0, +∞) in interval notation, indicating that it includes all positive real numbers except zero.

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Answer:

7

Step-by-step explanation:

35/5=7

Hope this helps!

Answer: We know that there is 35 games per season and is played throughout 5 months. If in each month the same number of games were played we would have to do 35/5 which is equal to 7. To check your work you can do 5 times 7 which is 35. Remeber opposite of division is multiplication and opposite of multiplication is division. SO, your answer is 7 football games per month.

Step-by-step explanation:

Hope this helps, if you are struggling with math you can use these sites:

khan academy

math nation

and many more free sites to learn math!

Number of ways to select 8 countries from the United Nations is 48,054,722,400

To solve this problem, we need to use the combination method, which states that if there are m ways to perform one task and n ways to perform another task after the first task is completed, then there are m x n ways to perform both tasks in sequence.

Using this principle, we can break down the selection of 8 countries into three separate tasks

Selecting 3 countries from a block of 52: There are 52C3 ways to do this, where 52C3 is the binomial coefficient "52 choose 3," which can be calculated as follows

52C3 = (52 x 51 x 50) / (3 x 2 x 1) = 22,100

Selecting 2 countries from a block of 64: There are 64C2 ways to do this, where 64C2 is the binomial coefficient "64 choose 2," which can be calculated as follows

64C2 = (64 x 63) / (2 x 1) = 2,016

Selecting 3 countries from a block of 73: There are 73C3 ways to do this, where 73C3 is the binomial coefficient "73 choose 3," which can be calculated as follows

73C3 = (73 x 72 x 71) / (3 x 2 x 1) = 1,082,790

To find the total number of ways to select 8 countries, we simply multiply these three quantities together

22,100 x 2,016 x 1,082,790 = 48,054,722,400

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Answer:

80 and 9 in that order.

Step-by-step explanation:

The probability of x taking on a value between 75 to 90 is 0.25.

Given that x is a continuous random variable uniformly distributed between 65 and 85.To find the probability that x lies between 75 and 90, we need to find the area under the curve between the values 75 and 85, and add to that the area under the curve between 85 and 90.

The curve represents a rectangular shape, the height of which is the maximum probability. So, the height is given by the formula height of the curve = 1/ (b-a) = 1/ (85-65) = 1/20.Area under the curve between 75 and 85 is = (85-75) * (1/20) = (10/20) = 0.5Area under the curve between 85 and 90 is = (90-85) * (1/20) = (5/20) = 0.25.

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