Find the value of x
12
5
X

The subspace of R⁴ consisting of all vectors of the form [x₁, 3x₁+x₂, -7x₁+8x₂, 3₁-6x₂] has a basis consisting of the vectors [1, 3, -7, 3] and [0, 1, 8, -6].

Vectors are an essential component of linear algebra and are used to represent quantities that have both magnitude and direction.

Now, let's consider the subspace of R⁴ consisting of all vectors of the form [x₁, 3x₁+x₂, -7x₁+8x₂, 3₁-6x₂].

To find a basis for this subspace, we need to find a set of vectors that are linearly independent and span the subspace.

Let's consider the equation a[1, 3, -7, 3] + b[0, 1, 8, -6] = [0, 0, 0, 0] for some coefficients a and b. This gives us the system of equations:

a = 0

3a + b = 0

-7a + 8b = 0

3a - 6b = 0

The first equation immediately gives us a = 0, and substituting this into the second equation gives us b = 0 as well. Therefore, the two vectors we found are linearly independent, and hence form a basis for the subspace.

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Answer:

The acceleration of the box is;

Explanation:

Given;

Final velocity v = 30 m/s

initial velocity u = 0

time taken t = 3 seconds

Acceleration is the change in velocity per unit time.

The acceleration a can be calculated using the formula;

substituting the given values we have;

The acceleration of the box is;

Answer:6.5 7.5

Step-by-step explanation:

I know you can do this if you need help you can contact me

Answer:

Step-by-step explanation:

An easy way to do slope is to know the formula which is (y1-y2)/(x1-x2)

In this case you have two points (2,5) and (0,-1)

2 = x1 (cause it’s the first x)

5 = y1 (cause it’s the first y)

0 = x2 (second x)

-1 = y2 (second y)

So the slope would be

(5-(-1))/2-0= 6/2 = 3

Answer:

4-9 = 4+(-9)

-6-7 = -6+(-7)

-4-(-9) = -4 + 9

6-(-7) = 6+7

Step-by-step explanation:

Double negatives means a positive and one positive and one negative is a negative.

Please give brainliest. I am working hard to get it.

Answer:

\(4-9\) → \(4+\left(-9\right)\)

\(-6-7\) → \(-6+\left(-7\right)\)

\(-4-\left(-9\right)\) → \(-4+9\)

\(6-(-7)\) → \(6+7\)

Step-by-step explanation:

1) \(4-5\)

\(4+(-9)\)

------------

2) \(-6-7\)

\(-6+\left(-7\right)\)

--------------

3) \(-4-\left(-9\right)\)

\(-4+9\)

-----------------

4) \(6-\left(-7\right)\)

\(6+7\)

OAmalOHopeO

Answers:

part 1

A: mango and strawberry

B:pineapple and strawberry

C:mango and pineapple

part 2:

2x+3y=32

part 3:

x+2y=16

part 4:

3x+4y=32

part 5:

"most"

part 6:

"least

part 7:

10 2/3, and 16

part 8:

8, and 16

part 9:

8, and 10 2/3

part 10:

12

part 11 (finale)

A and B

Step-by-step explanation:

because when the exponent is an odd number a negative number stays negative

and when the exponent is an even number the sign changes and a negative number becomes positive

Answer:

Nadia is incorrect, please check explanations for the correction to her work

Step-by-step explanation:

Here, we want to validate the wok of Nadia

Let the number be n

5 times the number is 5 * n = 5n

Difference between 5n and 3 less than twice the number

3 less than twice the number is 2n-3

So it should be 2n-3 ;

The solution is thus;

5n - (2n-3) = 18

5n - 2n + 3 = 18

3n + 3 = 18

3n = 18-3

3n = 15

n = 15/3

n = 5

Answer:

Nadia is incorrect; she did not translate the given information into an equation properly. The first equation should be 5n−(2n−3)=18.

Step-by-step explanation:

The probability that the largest number drawn is less than or equal to 9 is approximately 0.9936.

(a) The probability that 9 is the largest number drawn is the number of ways to select 5 balls out of the first 9 balls divided by the number of ways to select 5 balls out of 14, or (9 choose 5) / (14 choose 5).

(b) The probability that the largest number drawn is less than or equal to 9 is the number of ways to select 5 balls out of the first 9 balls divided by the number of ways to select 5 balls out of 14, or the sum of (i) (9 choose 5) / (14 choose 5) and (ii) (8 choose 5) / (14 choose 5) and (iii) ... (5 choose 5) / (14 choose 5).

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Answer:

Option D is correct.

Step-by-step explanation:

27.35 x 20/100

=> 2.735 x 2/1

=> $5.47

=> $5.50 (Rounded)

Therefore, Option D is correct.

Hoped this helped.

Answer:

42

Step-by-step explanation:

Frozen = 100- (sum of Tangled,Wall-E,Cars, Lion King)

= 100-72

=28

Frozen + Wall-E = 28+14 = 42

Answer:42%

Step-by-step explanation:

You should first Add all the other percents, not including Wall-E. Which equals 58%, then subtract 100-58 to get 42. which means that the other 2 options (Wall-E and Frozen) need to add up to 42%. Then subtract Wall-E percentage of 14 from 42 to get 28%. Your Welcome SORRY I MEANT 42, DONT MIND EVERYTHING AFTER THAT!!

The average rate of change of the function from x = 2 to x = 5 is given as follows:

0.

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function.

From this problem, we have that both at x = 2 and at x = 5, the function crosses the graph in the same value, hence the change in the output is given as follows:

0.

The change in the input is given as follows:

5 - 2 = 3.

Hence the average rate of change is given as follows:

0/3 = 0.

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The value of x² for 14 degrees of freedom and an area of .01 in the right tail of the chi-square distribution is 26.12.

Here's how to solve for it:

Given, degrees of freedom (df) = 14 and area in the right tail (α) = 0.01.

We can find the corresponding value of x² by using a chi-square distribution table or a calculator that has chi-square distribution capabilities.

Using the chi-square distribution table:

Look up the row for df = 14 and the column for .01 in the right tail. The intersection of these two values is the critical value of x².

So, we get the value of x² as 26.12 (rounded to two decimal places).

Using a calculator with chi-square distribution capabilities:

We can also use a calculator to find the critical value of x².

For example, using the chi-square distribution function on a TI-84 calculator, we can enter "invNorm(0.01,14)" and get the value of x² as 26.12 (rounded to two decimal places).

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The domain of the function is a semicircle with a radius of 5 and centered at the origin, where y is non-negative.

The domain of a function is the set of all possible input values for which the function is defined. In this case, the function is defined as:

\(f(x,y) = \sqrt{y} + \sqrt{[25 - x^2 - y^2} ]\)

To find the domain of this function, we need to determine the values of x and y that would result in the function producing a real-valued output.

For the square root of y to be real, y must be non-negative. That is, y ≥ 0.

For the square root of [\(25 - x^2 - y^2\)] to be real, we must have:

\(25 - x^2 - y^2 \geq 0\\x^2 + y^2 \leq 25\)

This is the equation of a circle with radius 5 centered at the origin. Therefore, the domain of the function is the set of all points (x, y) that lie inside or on this circle and have y ≥ 0.

In interval notation, we can write:

Domain: {(x, y) |\(x^2 + y^2 \leq 25, y \geq 0\)}

To sketch the domain, we can plot the circle with radius 5 centered at the origin and shade the region above the x-axis. This represents all the valid input values for the function. The boundary of the domain is the circle, and the domain includes all points inside the circle and on the circle itself, but not outside the circle.

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Answer:

60241.22

Step-by-step explanation:

Answer:

45 and 9x is the correct answer

Answer:

Step-by-step explanation:

18.2% less than h is:

The following series reflects this situation:

This is a geometric series with the first term 119 and common ratio 0.818.

The maximum height after 19th bounce is:

The rate of change is same as common ratio b = 0.818.

Here the expression yields into geometric progression

Where

Maximum height of 19th bounce

Rate of change is 0.818

To compare the two new devices for testing blood sugar levels, we need to conduct statistical tests using the data collected from 20 diabetics who were tested with both devices.

One-sample t-test:

If we want to compare the average blood sugar level obtained from one device to a target value, we can use a one-sample t-test. This test compares the mean of the sample to a known value. However, if we want to compare the two devices to each other, we would need to use a different type of test.

Matched pairs t-test:

A matched pairs t-test would be appropriate if we want to compare the measurements obtained from each device for the same 20 diabetics. This test compares the difference between paired observations (i.e. the difference in blood sugar levels obtained from each device for the same diabetic) to 0.

Two-sample t-test:

If we want to compare the measurements obtained from each device for two different groups of diabetics, we can use a two-sample t-test. For example, we could randomly assign 10 diabetics to each device and compare the mean blood sugar levels obtained from each group. This test compares the difference in means between two independent groups.

The choice of which test to use depends on the specific research question and the design of the study.

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The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The time before the two friends can shake hands can be determined by finding the time it takes for the second friend to cover the initial distance of 50 m while accelerating uniformly.

Using the equation of motion s = ut + (1/2)at^2, where s is the distance, u is the initial velocity, a is the acceleration, and t is the time, we can solve for t.

For the first friend, who is walking at a constant speed of 0.50 m/s, the distance covered is given by s1 = u1t, where u1 = 0.50 m/s.

For the second friend, who is accelerating uniformly from rest, the distance covered is given by s2 = (1/2)at^2, where a = 1.0 m/s^2.

Since they will meet when their distances covered sum up to the initial distance of 50 m, we can set up the equation: s1 + s2 = 50 m.

Substituting the expressions for s1 and s2, we get (0.50t) + (1/2)(1.0t^2) = 50.

Simplifying and rearranging the equation, we have 0.50t + 0.50t^2 = 50.

Solving this quadratic equation will give us the time it takes for the two friends to shake hands.

Now, let's explain the process in more detail. The first friend is walking at a constant speed of 0.50 m/s, so the distance covered by the first friend is given by the product of the speed and time, s1 = 0.50t.

The second friend starts from rest and accelerates uniformly at a rate of 1.0 m/s^2. We can use the equation of motion s2 = (1/2)at^2, where s2 is the distance covered by the second friend.

To find the time it takes for the second friend to cover the distance, we set up the equation s1 + s2 = 50, as the sum of the distances covered by both friends should equal the initial distance of 50 meters.

Substituting the expressions for s1 and s2, we get 0.50t + (1/2)(1.0t^2) = 50.

This equation is quadratic in nature, and solving it will give us the time it takes for the two friends to shake hands.

By solving the equation, we find the value of t to be approximately 10.77 seconds. Therefore, the two friends can shake hands after approximately 10.77 seconds.

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Answer:

C or A

thats all i know hope it helps

Answer:

\(4.5x - 4 = 14 \\ 4.5x = 14 + 4 \\ 4.5x = 18 \\ x = \frac{18}{4.5} \\ x = 4\)

Answer: x=4

Step-by-step explanation:  4.5x-4=14

4.5x−4+4=14+4

4.5x/4.5=18/4.5

x=4

25 miles

We need an illustration to understand the question.

It gives a right angled triangle. Hence we apply pythagoras' theorem:

Hypotenuse² = opposite² + adjacent²

Hypotenuse = distance between the courthouse and the community swimming pool

opposite = 20 miles

adjacent = 15 miles

Hypotenuse² = 20² + 15²

Hypotenuse² = 400 + 225

Hypotenuse² = 625

Hypotenuse = √625

Hypotenuse = 25

Hence, the distance between the courthouse and the community swimming pool is 25 miles

The value of x is 17

The congruent arcs are (b) PQ and SR

The radius is 12 units

The value of PQ is 4

The length YZ is 19 units

In this question, we make use of the property of congruent sides

So, we have

3x - 24 = x + 10

When evaluated, we have

2x = 34

Divide by 2

x = 17

By the definition of congruent arcs, congruent arcs are arcs that have equal measures

In this figure, the congruent arcs are PQ and SR i.e. (b) PQ and SR

The radius of the circle is calculated as

r² = (25 + r)² - 35²

When expanded, we have

r² = 625 + 50r + r² - 1225

So, we have

50r = 600

Divide both sides by 50

r = 12

In this question, we make use of the property of congruent sides

So, we have

PQ = SR

Where

SR = 4

When evaluated, we have

PQ = 4

The length of YZ in the circle is calculated as

YZ² = (9 + 8)² + 8²

So, we have

YZ² = 17² + 8²

When expanded, we have

YZ² = 289 + 64

So, we have

YZ² = 353

Take the square root of both sides

YZ = 19

Hence, the length YZ is 19 units

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The values of b and a for the logarithmic function in this problem are given as follows:

The logarithmic function in the context of this problem has the format given as follows:

\(y = b\log_3{x + a}\)

The vertical asymptote is at x = -4, hence:

\(y = b\log_3{x - 4}\)

When x = 5, y = -1, hence the parameter b is obtained as follows:

\(-1 = b\log_3{5 - 4}\)

0.477b = -1

b = -1/0.477

b = -2.1.

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An equation for water level in june for pensacola as a function of time (t) is f(t) = 5 cos pi/6 t + 7.

Which equation of cos show period amplitude ?

The equation given below show aplitude and period

\(y = A cos bx + c\)

where A = amplitude,

b = 2 pi/Period,

Period = 12 hrs,

c = midline,

x = t and y = f(t)

We have to find the amplitude

\(A = 1/2 (Xmax - Xmin)\)

\(12 - 2 / 2 = 10/2 = 5\)

\(b = 2 pi / 12 = pi/6\)

\(c = 1/2 (Xmax + Xmin)\)

\(12+2/2 = 7\)

Therefore, the an equation for water level in june for pensacola as a function of time (t)

\(f(t) = 5 cos pi/6 t + 7\)

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Answer:

option D is pretty close but not parallel obviously

Answer:

Hey there!

String P is 3.8 m long.

String Q is 3.8(1.35), or 5.13  m long.

String R is 3.8(0.95), or 3.61 m long.

Let me know if this helps :)

The cyclist and the car will intersect at 11:50 AM.

To determine the approximate time and place at which the car and the cyclist passed each other the following calculation must be performed:

-The advance of each of the parts must be calculated, and the point where said movement coincides.

Therefore, the cyclist and the car will intersect at 11:50 AM.

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