Determine if the columns of the matrix form a linearly independent set. Justify your answer. Select the correct choice below and fill in the answer box within your choice. (Type an integer or simplified fraction for each matrix element.) A. If A is the given matrix, then the augmented matrix represents the equation Ax =0. The reduced echelon form of this matrix indicates that Ax =0 has only the trivial solution. Therefore, the columns of A do not form a linearly independent set. B. If A is the given matrix, then the augmented matrix represents the equation Ax =0. The reduced echelon form of this matrix indicates that Ax =0 has more than one solution. Therefore, the columns of A form a linearly independent set. C. If A is the given matrix, then the augmented matrix represents the equation Ax =0. The reduced echelon form of this matrix indicates that Ax =0 has more than one solution. Therefore, the columns of A do not form a linearly independent set. D. If A is the given matrix, then the augmented matrix represents the equation Ax =0. The reduced echelon form of this matrix indicates that Ax =0 has only the trivial solution. Therefore, the columns of A form a linearly independent set.

Answer:

Below

Step-by-step explanation:

Since it is a QUADRATIC  it should be

3x^2 - 75 = 0    divide through by 3 to get

x^2 - 25 = 0       then

x^2 = 25

x = ±5

Answer:

Jimmy hits 3 bullseyes in every 20 shots, which can be written as a fraction: 3/20.

To compare this to Amanda's performance, we need to find out what fraction of Amanda's shots result in a bullseye. We know that Amanda hits a bullseye on 18 percent of her shots, which can be written as a fraction: 18/100 or 9/50.

To determine who hits more bullseyes more often, we can compare the two fractions. We can find a common denominator of 100 to make the comparison easier:

3/20 = 15/100

9/50 = 18/100

Now we can see that Amanda hits a bullseye more often than Jimmy, as 18/100 is a larger fraction than 15/100. In other words, if both Jimmy and Amanda shoot 100 arrows, Amanda is expected to hit more bullseyes than Jimmy.

Answer:

Jimmy

Step-by-step explanation:

To compare who hits more bull's-eyes more often, we need to calculate the probability of hitting a bull's-eye for each person.

Jimmy hits 3 bullseyes in every 20 shots, so the probability of hitting a bull's-eye for Jimmy is:

3/20 = 0.15 or 15%

Amanda hits a bull's-eye on 18 percent of her shots, so the probability of hitting a bull's-eye for Amanda is:

18% = 0.18

Comparing these probabilities, we can see that [Jimmy hits more bull's-eyes more often,] since his probability of hitting a bull's-eye (15%) is greater than Amanda's probability (18%).

It's important to note that this comparison is based solely on the given information about hitting bull's-eyes, and does not necessarily reflect overall performance or skill as an archer. Other factors, such as accuracy, consistency, and technique, may also play a role in determining an archer's success.

The quadratic equation of [tex]x^{2}[/tex]-6x+9=0 is C) (x-2)(x+3).

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.

This equation is an example of a quadratic equation, which is an equation of the form a[tex]x^{2}[/tex]+bx+c=0, where a, b, and c are real numbers, and a is not equal to 0. In this equation, a is equal to 1, b is equal to -6, and c is equal to 9. To solve this equation, we need to use the quadratic formula, which states that the solutions to the equation are x= -b ± [tex]\sqrt[1]{b^{2}-4ac }[/tex] / 2a. Therefore, the solutions to this equation are x= -(-6) ± [tex]\sqrt{(-6)^{2} -(4)(1)(9) }[/tex]) / 2(1), which simplifies to x=3 ± [tex]\sqrt{3}[/tex] /2, or x=3 ± [tex]\sqrt{9}[/tex] /2. This simplifies to x=3 ± [tex]\sqrt{3}[/tex], or x=3 ± 1. Therefore, the solutions to this equation are x=2 and x=4. The factored form of this equation is (x-2)(x+3), which is option C.

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The two points that also lie on the circumference of the circle are approximately (-9.2, -12.5) and (11.8, -7.1).

The circumference of a circle is the distance around its outer edge, also known as its perimeter. It is a key measurement in geometry, and is defined as the product of the circle's diameter and pi (π), a mathematical constant approximately equal to 3.14.

The formula for the circumference of a circle is:

C = 2πr

where C is the circumference, r is the radius of the circle, and π is the mathematical constant pi.

C = πd

The circumference of a circle is proportional to its radius or diameter, which means that if you double the radius or diameter of a circle, its circumference will also double. This relationship is fundamental to many mathematical and scientific applications, such as calculating the area or volume of a circle or sphere.

The circumference of a circle can be measured using a variety of tools, including rulers, compasses, and string. In practice, it is often measured indirectly by measuring the diameter or radius of the circle and using the formula above to calculate its circumference.

In summary, the circumference of a circle is the distance around its outer edge or perimeter, and is calculated using the formula C = 2πr or C = πd. It is a key measurement in geometry and has many practical applications in mathematics, science, and engineering.

To find two more points on the circumference of the circle, we can use the fact that the distance between the center of the circle and any point on its circumference is equal to the radius of the circle.

The radius of the circle can be found using the distance formula, which gives:

radius = sqrt((9-0)^2 + (-12-0)^2) = sqrt(225) = 15

So the circle has a radius of 15.

Now, to find two more points on the circumference, we can use the fact that any point on the circle can be represented as (r cos θ, r sin θ), where r is the radius of the circle and θ is the angle that the line connecting the point and the origin makes with the positive x-axis.

Since we already know one point on the circle, (9,-12), we can find the angle θ that this point makes with the positive x-axis by using the inverse tangent function:

θ = arctan(-12/9) = -53.13 degrees (or -0.93 radians)

Now we can find two more points on the circle by adding or subtracting multiples of 360 degrees (or 2π radians) to the angle θ and using the formula (r cos θ, r sin θ). For example:

Point (15 cos (-53.13), 15 sin (-53.13)) ≈ (-9.2, -12.5)

Point (15 cos (306.87), 15 sin (306.87)) ≈ (11.8, -7.1)

Therefore, the two points that also lie on the circumference of the circle are approximately (-9.2, -12.5) and (11.8, -7.1).

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The dimensions are as follows

14

x = 21

GK = 167

HJ = 98

HGJ = 159

GKJ = 201

15.

x = 9

AD = 108

BC = 23

DC = 139

DCB = 162

The value of x is solved using the concept of angles in a point and this is 360 degrees

Figure 14

9x - 22 + 61 + 5x - 7 + 34 = 360

collecting like terms

9x + 5x  - 22 + 61  - 7 + 34 = 360

solving for x

14x + 66 = 360

14x = 360 - 66

x = 294 / 14

x = 21

GK = 9x - 22 = 9 * 21 - 22 = 167

HJ = 5x - 7 = 5 * 21 - 7 = 98

HGJ = GH + HJ = 61 + 98 = 159

GKJ = GK + KJ = 167 + 34 = 201

15.

12x + 17x - 14 + 2x + 5 + 90 = 360

collecting like terms

12x + 17x + 2x - 14 + 5 + 90 = 360

solving for x

31x + 89 = 360

31x = 360 - 81

x = 279 / 31

x = 9

AD = 12x = 12 * 9 = 108

BC = 2x + 5 = 2 * 9 + 5 = 23

DC = 17x - 14 = 17 * 9 - 14 = 139

DCB = DC + CB = 23 + 139 = 162

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The value of 136 kilograms to pounds ( using conversion factor ) is equal  to  ( 299.8283 ) pounds ( round off to four decimals value ) .

Conversion factor used to convert kilograms to pounds is equal to :

One kilograms is equal to 2.20462 pounds

In mathematical notation we can write ,

1 kilograms = 2.20462 pounds

Multiply both the side of the relation by 136 we get,

⇒ ( 1 × 136 ) kilograms = ( 136 × 2.20462 ) pounds

⇒ 136 kilograms = ( 299.82832 ) pounds

⇒ 136 kilograms = ( 299.8283 ) pounds (round off to four decimals value )

Therefore, the using conversion factor the required 136 kilograms is equal to ( 299.8283 ) pounds ( round off to four decimals value ) .

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The speed of 50 mph is equivalent to 80.47 km/h.

Mph is an abbreviation for miles per hour, and it is a unit of measurement commonly used in the United States. On the other hand, km/h stands for kilometers per hour, and it is a unit of measurement commonly used in most other countries.

To convert 50 mph to km/h, we need to use a conversion factor that relates the two units.

The conversion factor we need to use in this case is 1 mile = 1.60934 kilometers. This means that for every mile covered, there are 1.60934 kilometers covered. To convert 50 mph to km/h, we simply need to multiply 50 by the conversion factor, as shown below:

50 mph x 1.60934 km/mi = 80.47 km/h

Therefore, 50 mph is equivalent to 80.47 km/h. This means that if you were driving at 50 mph in the United States, you would be traveling at a speed of 80.47 km/h if you were to convert to km/h in another country.

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Answer:

2 units

Step-by-step explanation:

To find the difference between 10 and 12, we can use this equation:

Or:

Therefore, the difference is 2.

Inches to decimal is the conversion used in converting inches to decimal feet. So 1 inch = 0.0833 decimal feet.

By multiplying or dividing, a conversion factor aids in changing one set of units to another. It is the formula necessary to convert a measurement from one unit system to another unit system of the same measurement.

The conversion of inches to decimals is important in the conversion of feet. To convert inches to decimal of foot, multiply the given inches value by  0.0833. That is 1 inch = 0.0833 decimal feet. For example, 6 inches is converted as 6×0.0833=0.4998 decimal feet.

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The complementary angles will be 65.6° and 24.4°.

What exactly are complementary angles?

Supplementary and complementary angles are defined by the sum of two angles. If the total of two angles is 90 degrees, they are considered to be complimentary angles since they produce a right angle when combined. If the total of two angles is 180 degrees, they are considered to be supplementary angles since they produce a linear angle when combined.

Now,

Let x be a angle then its complementary angle will be 90°-x as sum of complementary angles is equal to 90°.

as given

90°-x-x=18.8°

9--2x=18.8

2x=71.2

x=65.6° and 90-x°=24.4°

hence,

                The complementary angles will be 65.6° and 24.4°.

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Interest earned on the cash balance in the bank is recorded by the bank as an increase in the depositor’s bank account.

A savings account is a type of account that can be opened with a bank. Savings account earn interest based on the amount of money in their account at the end of the month.

here. we have.

The interest that is earned depends on the number of withdraws, interest rate paid on deposits and the amount deposited in the account.  Deposits are recorded as a liability in the balance sheet of a bank. A liability is an obligation that has to be paid at sometime in the future.

This means that at the end of the month, the value of the money in the depositor's saving account increases by the value of interest paid.

For example, if the interest paid by a bank on deposits in a savings account is 10%. If an account has $1000 in the account, the value of the amount at the end of the month is 1,100 (1000 x 1.1).

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From the given information provided, the total cost of olivia membership fee and her car wash is $82.

The membership fee is a one-time cost of $40.00. To calculate the cost of three car washes, we can simply multiply the cost per car wash by the number of car washes:

3 car washes x $14.00 per car wash = $42.00

So the total cost for Olivia's membership fee and three car washes would be:

$40.00 (membership fee) + $42.00 (cost of three car washes) = $82.00

Question - Olivia likes to go to her local car wash because she is a premier member there. Her membership fee costs $40. 00 and that membership allows her to get her car washed for $14. 00 every visit. What would be the cost of Olivia's membership fee and three car washes?

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The average value of function f(x) over [a,b] = 1/(b-a) × definite integral of f(x) over [a,b]

To find the average value of a function f(x) over an interval [a,b], you need to follow these steps:

Calculate the definite integral of the function f(x) over the interval [a,b]. The definite integral will give you the total area under the curve of the function over the interval.

Find the length of the interval [a,b] by subtracting the lower bound a from the upper bound b. The length of the interval will be (b-a).

Divide the value of the definite integral by the length of the interval to get the average value of the function over the interval [a,b]. That is:

Average value of f(x) over [a,b] = 1/(b-a) × definite integral of f(x) over [a,b]

So, the average value of a function over an interval is simply the total area under the curve of the function over that interval divided by the length of the interval.

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Answer:

[tex]y = \frac{Pa}{b} - za[/tex]

Step-by-step explanation:

See picture below :)

We can say that a and b are identical in absolute value if a and b are nonzero integers such that a divides b (a | b) and b divides a (b | a). That is to say, a =± b.

The transitive property of divisibility serves as evidence for this. We know that there are numbers k and l such that b = ak and a = bl exist if a | b and b | a. We obtain a = alk by substituting the expression for b into the second equation. We can divide both sides by a to get l = 1/k because an is not zero. Given that k and l are both integers, they must both either be 1 or -1. B Equals ak if k = 1, else then b = ak = a(1) = a, and if k = -1, then b = ak = a(-1) = -a. In either case, we have shown that a = ±b.

So if a and b are nonzero integers such that a divides b and b divides a, then we can conclude that a and b have the same absolute value, but possibly opposite signs.

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The correct answer is C. The Mode.

Data is the collection of data term that is organized and formatted in a specific way it's typically contains fact observation or statistics that are collected through a process of measurement or research data set can be used to answer question and help make informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make prediction.

This measure of centre is most meaningful when the data is qualitative because it shows the value that appears most frequently in the data set. The mode can be used to identify the most popular item or most commonly occurring outcome. It is the only measure of centre that can be used for qualitative data, as the other measures (mean, median, and range) require numerical data.

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Answer:

Assuming the weight of the object on Earth is 100 pounds, its weight on Mars would be:

(50 / 100) x 100 = 50 pounds

So the weight of the object on Mars is 50% of its weight on Earth.

Similarly, the weight of the object on the moon would be:

(24 / 100) x 100 = 24 pounds

So the weight of the object on the moon is 24% of its weight on Earth.

The answer is t = (2 - 3Q)/(4+Q).

To make t the subject of the given equation:

(2-4t)/(t+3)

We can start by cross-multiplying both sides by (t+3) to eliminate the denominator on the left-hand side:

(2 - 4t) = (t+3) * Q

where Q is an unknown value that is the result of the cross-multiplication.

Next, we can distribute the right-hand side:

2 - 4t = Qt + 3Q

Then, we can rearrange the equation by moving all the terms with t to one side and the constant terms to the other side:

2 - 3Q = t(4+Q)

Finally, we can divide both sides by the coefficient of t to isolate t:

t = (2 - 3Q)/(4+Q)

Therefore, the equation in terms of t is:

t = (2 - 3Q)/(4+Q)

In mathematics, an equation is a statement that two expressions are equal to each other. It consists of two sides: the left-hand side and the right-hand side, which are connected by an equals sign (=). An equation typically contains one or more variables, which are represented by symbols such as x, y, or z, and the goal is often to solve for these variables in order to find their values that make the equation true.

For example, the equation x + 2 = 5 is an algebraic equation that states that the sum of x and 2 is equal to 5. Solving this equation for x gives us x = 3, which means that the value of x that makes the equation true is 3.

Equations are used to model many real-world problems in mathematics, science, engineering, economics, and other fields, and they are an important tool for understanding and solving complex problems.

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Option C. 50%. The interquartile range (IQR) is the difference between the 25th percentile (Q1) and the 75th percentile (Q3) of a distribution, and it contains the middle 50% of the data.

Approximately half of the data values in a distribution lie between Q1 and Q3. This range provides valuable information about the spread of the data and helps identify potential outliers. By knowing the IQR, one can make informed decisions about the data and gain a better understanding of the population it represents. This is useful in understanding the spread of data and identifying outliers. Knowing the IQR can help in making decisions about the data and the underlying population it represents.

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Answer:is this a literal question?

Step-by-step explanation:

if so than it depends on the subject for me

Answer:

Therefore, the influencer would earn $52 for a video with 1 million views.

Step-by-step explanation:

Answer:

Step-by-step explanation:

175 cm to inches is 68.8976 or 69 inches

If f(-x) = f(x) for all x in the domain of the function, then the function is said to be even function in mathematics. if a function meets the criterion that f(-x) = -f(x) for all x in the function's domain, then is said to be odd function .

An even function, then, is symmetric about the y-axis. The graph of an even function would look geometrically identical to its reflection across the y- axis if we were to plot it. The functions f(x) = x2, f(x) = cos(x), and f(x) = |x| are examples of even functions.

An odd function, then, is symmetric about the origin. If we were to draw the graph of an odd function geometrically, if we were to plot the graph of an odd function, it would appear to be identical to its reflection across the origin, after being rotated 180 degrees. Some examples of odd functions include f(x) = x³, f(x) = sin(x), and f(x) = 1/x.

It is also possible for a function to be neither even nor odd. In other words, a function does not need to exhibit either symmetry about the y-axis or the origin.

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The required coefficient of y in  [tex](3xy + 2)^4[/tex] is 96x.

The binomial expansion is a formula for expanding a binomial expression of the form [tex](a + b)^n\\[/tex], where "a" and "b" are constants and "n" is a positive integer. The expansion gives the coefficients of each term in the expansion.

Here,
We can use the binomial theorem to expand the expression,

[tex](3xy + 2)^4 = C(4,0) (3xy)^4 (2)^0 + C(4,1) (3xy)^3 (2)^1 + C(4,2) (3xy)^2 (2)^2 + C(4,3) (3xy)^1 (2)^3 + C(4,4) (3xy)^0 (2)^4[/tex]

where C(n,k) represents the number of combinations of k objects that can be chosen from a set of n objects.

The coefficient of y in the fourth term is given by the coefficient of ([tex]3xy)^1 (2)^3[/tex]. That is, we need to find the coefficient of y in the term:

[tex]C(4,3) (3xy)^1 (2)^3 = 4 * 3xy * 2^3 = 96xy[/tex]

Therefore, the coefficient of y in  [tex](3xy + 2)^4[/tex] is 96x.

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Answer: c = 54

Step-by-step explanation:

c/6 = 9

c/6*(6) = 9*6

c = 54

Answer: c = 54

Step-by-step explanation:

c/6 = 9

you then multiply c/6 by it's denominator, which in this case 6. What you do on one side, you have to do to the other.

6 · c/6 = 9 · 6

Then you multiply everything, 6 cancels out denominator 6 which leaves C and 9 turns into 54. Meaning c equals 54.

c = 54

To check, you can replace c with 54 in your original equation.

54/6

54÷6 = 9

The probability that exactly 15 out of 20 adults use their smartphones in meetings or classes is approximately 0.0667, rounded to four decimal places as requested.

This is a binomial distribution problem where:

n = 20 (number of trials)

p = 0.57 (probability of success)

We want to find the probability that exactly 15 out of 20 adults use their smartphones in meetings or classes.

Using the binomial probability formula:

[tex]P(X = k) = (n choose k) * p^k * (1-p)^(n-k)[/tex]

where (n choose k) = n!/(k!(n-k)!)

[tex]P(X = 15) = (20 choose 15) * 0.57^15 * (1-0.57)^(20-15)[/tex]

[tex]P(X = 15) = (15504) * 0.57^15 * 0.43^5[/tex]

[tex]P(X = 15) ≈ 0.0667[/tex]

Therefore, the probability that exactly 15 out of 20 adults use their smartphones in meetings or classes is approximately 0.0667, rounded to four decimal places as requested.

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Assume that when adults with smartphones are randomly​selected, 57​% use them in meetings or classes. If 20 adult smartphone users are randomly​ selected, find the probability that exactly 15 of them use their smartphones in meetings or classes. The probability is _____? ​(Round to four decimal places as​ needed.)

Interval notation is a way of representing a range of values on a number line. It is written using brackets and parentheses to indicate whether the endpoints are included or excluded from the interval.

For example, the interval notation for the range of values between 1 and 5 (inclusive) would be [1, 5]. The square brackets indicate that both 1 and 5 are included in the range.

If the endpoints are excluded, we use parentheses. For instance, the interval notation for the range of values between 1 and 5 (excluding 1 and 5) would be (1, 5).

In general, we use square brackets for closed intervals (where the endpoints are included) and parentheses for open intervals (where the endpoints are excluded).

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Linear Interpolation Calculator is a free online tool that shows the interpolated point for specific coordinates, also termed as online calculator.

It allows users to interpolate (interpolation is a mathematical technique for estimating any value between two known points) data points between the sets(two sets) of points or coordinates.

Take the two known points and calculate the value of the point that lies between them. This has been used in as many engineering applications as estimating the value of a point on a graph or table. This calculator helps in estimating the value of a point that lies between two known points on a line.

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Answer:

  λ = 3

Step-by-step explanation:

You want the value of λ that places point C = λ(i -3j) on the line between A(-5i -11j) and B(23i -4j).

The parameterized line between A and B is ...

  P = A +t(B -A)

where P is a point on AB. We can set P = C to find the value of t that identifies the point on AB. Comparing that to C, we can determine the value of λ.

  λ(i -3j) = -5i -11j +t(23i -4j -(-5i -11j)) = (-5+28t)i +(-11 +7t)j

Equating components gives two equations in the unknowns λ and t:

Multiplying the second equation by -4 and adding the first gives ...

  -4(-3λ) +λ = -4(-11 +7t) +(-5 +28t)

  13λ = 39 . . . . . . . simplify

  λ = 3 . . . . . . . . . divide by 13