find all value(s) of k for which the system of linear equations has no solution

Answer:

$16,106,127.36 after 30 days

Step-by-step explanation:

This situation could be modeled by the equation \(x(2)^{t-1}\) where x is the initial value and t is the time. x is the value on "the first day", so in this situation, we would substitute 0.03 for x, giving us \(0.03(2)^{t-1}\).
Then, we plug 30 into this equation, which would give us \(0.03(2)^{29}\).
\((2)^{29}\) is equal to 536,870,912-->multiplying this by 0.03 would give us $16,106,127.36

Answer: In 2 seconds the car covered a distance of 55.56 meters.

Uniform rectilinear motion (also known as uniform linear motion or straight-line motion) is a type of motion in which an object moves along a straight line with a constant speed.

This means that the object's position changes by the same amount in a given period of time, regardless of the time that has elapsed. This type of motion is different from accelerated motion, in which the speed of an object changes over time. In uniform rectilinear motion, the speed of the object is constant, and the direction of motion does not change.

Data:

V = 100 km/h = 27.78 m/s

t = 2 s

d = ?

Since it asks us to calculate the distance in meters, we must convert from km/h to m/s.

        \(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=100 \ \frac{\not{km}}{\not{h}}*\left(\frac{1000 \ m}{1\not{km}}\right)*\left(\frac{1\not{h}}{3600 \ s}\right)= 27.78 \ m/s } \end{gathered}$} }\)

The uniform motion formula is: V=d/t

We clear for the distance, since it is the value that asks us to calculate.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=\frac{d}{t} \iff \ d=v*t} \end{gathered}$}}\)

                          \(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d=27.78 \ \frac{m}{\not{s}}*2\not{s} } \end{gathered}$}}\)

                          \(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d=55.56 \ m} \end{gathered}$}}\)

Answer:

13.3

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

AM             AN

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

AM+AB          AC

6             8

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

6+4          AC

Using cross products

6AC = 8 * 10

6AC = 80

Divide by 6

AC = 80/6

AC =13 1/3

AC = 13.33333

Answer:

11

Step-by-step explanation:

add

The surface area is multiplied by a factor of 16

The dimensions are given as:

The factor of the surface area is calculated as:

Surface area = Factor^2

So, we have:

Surface area = 4^2

Evaluate

Surface area = 16

Hence, the surface area is multiplied by a factor of 16

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16

Step-by-step explanation:

The t- test test's sizes for samples 1 and 2 are n1 and n2, respectively.

What can you infer from a sample t-test?

df for one sample t-test is n-1

where n is sample size

df for independent sample t-test is n1+n2-2

where n1 and n2 are respective sample sizes for sample 1 and sample 2 .

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The interval of convergence for the given power series is (2, 8).

To find the interval of convergence for the given power series. We have the power series:

∑(n=2 to ∞) ((x-5)ⁿ)/(3ⁿ)

To find the interval of convergence, we'll use the Ratio Test. For the Ratio Test, we need to compute the limit:

L = lim (n → ∞) |(a_(n+1)/a_n)|

For our series, a_n = ((x-5)ⁿ)/(3ⁿ). Therefore, a_(n+1) = ((x-5)(n+1))/(3(n+1)). Now, let's compute the ratio:

|(a_(n+1)/a_n)| = |(((x-5)(n+1))/(3(n+1))) / (((x-5)ⁿ)/(3ⁿ))|

Simplify the expression:

|(a_(n+1)/a_n)| = |(x-5)/3|

The series converges if L < 1. So we have:

|(x-5)/3| < 1

Now, we'll solve for x to find the interval of convergence:

-1 < (x-5)/3 < 1

Multiply each term by 3:

-3 < x-5 < 3

Add 5 to each term:

2 < x < 8

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Answer:

138.6

Step-by-step explanation:

154 x .9=138.6

Answer:

£15.4

Step-by-step explanation:

Answer:

x = 46°

Step-by-step explanation:

Angles on a straight line sum to 180°.

Therefore, the interior angle of the triangle that forms a linear pair with the exterior angle marked 130° is:

⇒ 180° - 130° = 50°

The interior angle of the triangle that forms a linear pair with the exterior angle marked 96° is:

⇒ 180° - 96° = 84°

The interior angles of a triangle sum to 180°. Therefore:

⇒ 50° + 84° + x = 180°

⇒ 134° + x = 180°

⇒ 134° + x - 134° = 180° - 134°

⇒ x = 46°

Therefore, the size of angle x is 46°.

Answer:

30,240

Step-by-step explanation:

You use the Permutation Formula

Lets say that your five digits are LMNOP

L- 10 possible digits

M- 9 possible digits

N- 8 possible digits

O- 7 possible digits

P- 6 possible choices

10•9•8•7•6

= 30,240

Answer:

x² + 4xy + 4y²

Step-by-step explanation:

(x + 2y )²

= (x + 2y) (x + 2y)

= x² + 2xy + 2xy + 4y²

= x² + 4xy + 4y²

So, the answer is  x² + 4xy + 4y²

?????????????????????????????????????

A

1) In this picture, we can see clearly a triangle with an adjacent leg to an angle of 50º and an opposite leg (that tree).

2) So the trigonometric ratio to be used is the one that relates both legs:

3) Hence, the answer is A

The university administration should not trust the results from this study as it did not take a random sample.

The appropriate question to ask in order to assess the evidence provided by the sample data is, "How likely is it to observe a difference of 0.09 or more extreme if there is no difference in the mean GPA for male and female scholarship athletes?"

This is because the sample data shows a difference of 0.09, so we want to find out how likely it is to observe a difference of this size or greater, given that there is no actual difference between the GPA of male and female scholarship athletes.
Based on the investigation that the professor conducted which revealed that the study was given to all of the athletes on the basketball teams exclusively, the university administration should not trust the results from this study.

This is because the study was not taken from a random sample of scholarship athletes, meaning that the sample did not accurately reflect the population. If the sample does not accurately reflect the population, then the results may be biased and should not be trusted.

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Answer: 139 feet

Step-by-step explanation:I used tan. Tan(44) = x/140

x = 140(Tan 44)

x = 135.196

The transit is 4, so we add that to 135.

This makes 139 feet.

Does this seem right to you?

The possible error in the volume of the cube is cubic inches.

The edge of a cube with a length of inches and a possible error of % means that the actual length could be within % of the given length. Therefore, the minimum possible length of the edge is inches, and the maximum possible length is inches.

To calculate the possible error in cubic inches in the volume of the cube, we need to use the formula V = e^3, where V is the volume and e is the length of the edge.

Substituting the minimum and maximum values of the edge length, we get the minimum and maximum possible volumes of the cube:

V_min = ( inches)^3 = cubic inches
V_max = ( inches)^3 = cubic inches

The difference between the maximum and minimum volumes is the possible error in cubic inches:

V_error = V_max - V_min = ( inches)^3 - ( inches)^3 = cubic inches

Therefore, the possible error in the volume of the cube is cubic inches. This means that the actual volume of the cube could be within cubic inches of the given volume.    

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The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

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The appropriate simulation applet to calculate an approximate p-value is 0.0077.

The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.

Delay or no delay, answer: the number of words remembered

The mean distance between words remembered with and without delay over time is null, or zero.

Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.

Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.

The mean distance in words remembered is 1.85.

1)0.0077 as the p-value

2)Strong data suggests that a brief delay impairs memorization.

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A 250ml tin of paint costs £3.35  tin is better value for money.

The best balance of price, quality, and sustainability to satisfy consumer needs is referred to as best value for money. Cost in this sense refers to taking into account total cost of ownership.

Value for money is seen as an effective framework for evaluating performance in not-for-profit organisations since it takes into account both the costs and benefits of delivering a service.

A 345ml tin of paint costs £4.80

345 / 4.80 = 71.87

A 250ml tin of paint costs £3.35

250 / 3.35 = 74.62

so

A 250ml tin of paint costs £3.35 is 74.62,

A 250ml tin of paint costs £3.35  tin is better value for money.

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A confidence interval is a range of plausible values for the population parameter with a level of confidence attached.

In frequency statistics, a confidence interval is the range of estimated values ​​for an unknown parameter. Confidence intervals are computed at the specified confidence level. A 95% confidence level is the most common, but other levels such as 90% and 99% are sometimes used.

Confidence intervals are defined as the range of values ​​that you would expect to observe in a sample and find a value that accurately reflects the population.

Confidence intervals are a way of expressing how "good" an estimate is. The larger the 90% confidence interval for a particular estimate, the more cautious it should be used. Confidence intervals are an important reminder of the limits of an estimate.

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Answer:

7 inches

Step-by-step explanation:

The area of a parallelogram is Base x Height.

Area = 28 in^2 = (4 in)*(Height)

Height = 7 inches

The domain of a logarithmic function is all positive real numbers.

To find the domain of a logarithmic function, you need to consider the conditions for the argument (input) of the logarithm. The domain of a logarithmic function depends on two factors: the base of the logarithm and the argument.

1. Base of the logarithm: The base of the logarithm must be positive and not equal to 1. For example, in the common logarithm with base 10 (log base 10) or natural logarithm with base e (ln), the base satisfies these conditions.

2. Argument of the logarithm: The argument of the logarithm must be positive. It cannot be zero or negative.

Therefore, to find the domain of a logarithmic function, identify the restrictions on the base and determine the range of values for which the argument is positive. The domain will consist of all the values that satisfy these conditions.

For example:

- Domain of log base 10: The base (10) is positive and not equal to 1. The argument must be positive, so the domain is all positive real numbers.

- Domain of ln (natural logarithm): The base (e) is positive and not equal to 1. The argument must be positive, so the domain is all positive real numbers.

Remember to consider any additional restrictions or conditions specific to the problem or context in which the logarithmic function is being used.

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The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

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The rug can have dimensions of either 14 ft by 24 ft or 7 ft by 17 ft.

Given that Cynthia Besch wants to buy a rug for a room that is 18 ft wide and 28 ft long and wants to leave a uniform strip of floor around the rug. She can afford to buy 416 square feet of carpeting. We need to determine the dimensions of the rug.

Let the width of the strip left around the rug be x feet.

Since the room is 18 feet wide, the width of the rug will be (18 - 2x) feet.

Since the room is 28 feet long, the length of the rug will be (28 - 2x) feet.

Area of the rug = Area of the room covered - Area of the strip around the rug.

The area of the room is 18 × 28 = 504 sq. ft. The area of the strip around the rug is (18 - 2x)(28 - 2x) sq. ft.

Therefore, the area of the rug is:504 - (18 - 2x)(28 - 2x) = 416 sq. ft.

Expanding the brackets, we get: 504 - (504 - 18x - 28x + 4x²) = 4164x² - 46x + 88 = 0

Solving the quadratic equation, we get: x = 2 or 11/2If x = 2 ft, then the width of the rug = 18 - 2x = 18 - 4 = 14 ft

The length of the rug = 28 - 2x = 28 - 4 = 24 ft

Therefore, the dimensions of the rug are 14 ft by 24 ft.

If x = 11/2 ft, then the width of the rug = 18 - 2x = 18 - 11 = 7 ft

The length of the rug = 28 - 2x = 28 - 11 = 17 ft

Therefore, the dimensions of the rug are 7 ft by 17 ft.

Therefore, the rug can have dimensions of either 14 ft by 24 ft or 7 ft by 17 ft.

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A)The sum of all the water distributed from 0 to r is 2\(\pi\)\((2-\frac{17}{e^{16} })\)

B)The amount of the water at all the distribution from 0 to ∞ is 4\(\pi\)

Given that f(r)=\(e^{-r}\) ; asked to calculate the sum of all the water distributed from 0 to r and sum of all the water distributed from 0 to ∞.

The sum of all the water distributed from 0 to r= 2\(\pi\)[ 2-(R+1)\(e^{-R}\)]

The sum of all the water distributed from 0 to r= 2\(\pi\)[ 2-(16+1)\(e^{-16}\)]

The sum of all the water distributed from 0 to r= 2\(\pi\)\((2-\frac{17}{e^{16} })\)

The amount of the water at all the distribution from 0 to ∞=2\(\pi\)[2-\(\lim_{R \to \infty} \frac{R+1}{e^{R} }\)]

The amount of the water at all the distribution from 0 to ∞=2\(\pi\)[2-\(\lim_{R \to \infty} \frac{1}{e^{R} }\)]

The amount of the water at all the distribution from 0 to ∞=4\(\pi\).

Therefore,A)The sum of all the water distributed from 0 to r is 2\(\pi\)\((2-\frac{17}{e^{16} })\)

B)The amount of the water at all the distribution from 0 to ∞ is 4\(\pi\)

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Answer:

The answer is 1.24

Step-by-step explanation:

4.96/4

Answer:$1.20 per pound.

Step-by-step explanation:For 4 pounds , $ 4.80

For 1 pound , 4.80÷4=1.20

Therefore, $1.20 per pound of Apple is correct rate.

pls mark me brainliest!!!!!

Since it is a right triangle, we can use the Pythagorean Theorem. This one states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse. In algebraic notation:

So, in this case, we have:

Therefore, the measure of the other leg rounded to the nearest hundredth is 11.49 centimeters.

Answer:

1.) 8a⁴b³ + 6a²b³ab² - 2a²b³ab

2.) A. 44

3.) B. +83 degrees

4.) D. $0.15

5.) x⁴ - 256

6.) D. -122

7.) -6r²s⁴t³

Step-by-step explanation:

1.) To simplify, we simply multiply/distribute and then combine like terms.

2.) To simplify, we use Order of Operations BPEMDAS to solve.

3.) To find, we simply subtract 68 and -15 to get +83 as our answer.

4.) To find, we simply multiply 3 by 24 to get 72, then divide by $410.80 to get $0.15 as our answer.

5.) To expand/simplify, simply use Difference of Squares to get C. as our answer.

6.) To find the value, simply plug in 7 for b to get -122 as our answer.

7.) To find the result, remember that when you divide exponents, you subtract the powers.

The absolute value model |x - 30| = 10 represents the time required for Jack to fold his laundry. (Correct choice: D)

Absolute values are functions used in mathematics that represents the magnitude of a number, whose definition is summarized below:

In this case, we must determine an absolute value model that contains the maximum and minimum times required by Jack to fold his laundry, This is represented by the following model:

|x - a| = b

Where:

If we know that a = 30 min and b = 10 min, then the absolute value model is:

|x - 30| = 10

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We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.

The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.

According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.

Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

The difference between the values in the matched pairs' standard deviation is calculated.

The complete question is:

To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.

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We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.

What is the difference between standard deviation and confidence interval?

The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.

According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.

Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

The difference between the values in the matched pairs' standard deviation is calculated

To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.

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The "integers"— , positive, negative, NOT zero. The "rational numbers"— , or fractions, like 355/113.