The set B={[1 0 −3 0],[0 0 1 −1],[0 0 0 −2]} is a basis of the space of upper-triangular 2×2 matrices. Find the coordinates of M=[−2 0 −6 4] with respect to this basis.

The difference was negative, indicating that the sequence is monotonic and decreasing.

To determine if a sequence is monotonic, we need to look at whether it is increasing or decreasing. In this case, we are considering the sequence 6−8n. The difference test involves subtracting one term from the next to see if the result is positive, negative or zero. If the result is positive, then the sequence is decreasing. If it is negative, then the sequence is increasing. If it is zero, then the sequence is constant.

In this case, we apply the difference test by subtracting sn from sn+1 to get (6-8(n+1)) - (6-8n) = -8. Since this result is negative, we can conclude that the sequence is decreasing. Therefore, we can say that the sequence 6−8n is monotonic decreasing.

In summary, a difference test is a useful tool for determining if a sequence is monotonic. By calculating the difference between consecutive terms, we can tell whether the sequence is increasing, decreasing, or constant. In this case, the difference was negative, indicating that the sequence is monotonic decreasing.

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B

Step-by-step explanation:

If you're using a Casio calculator you can just change the mode to table mode. Put the equations as they are,decide the value of the X axis you want to start at and where you want to end. The step you can use 1 if you want. Press = button. You'll have the co-ordinates. Plot the co-ordinates of each equation and see which one gives a straight line graph. I started at -4 and ended at 5 and I used step 1

Answer:

y = 2x + 3

Step-by-step explanation:

The gradient (2x) is the same since the lines are parallel

The y-intercept(+3) is different however, since this line passes through co-ordinate (-1,3) It is +3 because in a co-ordinate the x and y co-ordinate is in this order (x,y). Therefore, the y number represents which y co-ordinate the line passed through the y axis.

Answer:

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

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

Answer:

A

Step-by-step explanation:

You are just going to have to divide the 7 which gives you 3.5

Answer:

10 x 10 = 100

6 x 6 = 36

:)

Answer:

10*10=100 | 6*6=36

Step-by-step explanation:

Well, 100/10=10

36/6=6

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

10+10+10+10+10+10+10+10+10+10=50+50=100

6+6+6+6+6+6=18+18=36

Answer:

97°

I forgot how to explain. Ah, I'm sorry. Please let me know if it's wrong but I'm sure it's right.

The break-even point, measured in sales dollars, can be calculated by dividing the fixed costs by the contribution margin ratio.

The contribution margin ratio is the difference between the selling price and the variable cost per unit, expressed as a percentage of the selling price. In this case, the contribution margin per unit is calculated as $23 (selling price) - $15 (variable cost) = $8 per unit. The contribution margin ratio is then $8 / $23 = 0.348, or 34.8%.

To find the break-even point in sales dollars, we divide the fixed costs by the contribution margin ratio. In this scenario, the fixed costs are $56,000. Therefore, the break-even point in sales dollars is calculated as $56,000 / 0.348 = $160,920. This means that the company needs to generate sales of $160,920 to cover all its fixed costs and reach the break-even point. Any sales above this amount would result in a profit, while sales below this amount would lead to a loss.

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According to the mapping diagram, the above is a function since there are no two values in set B where there is only one value in Set A mapped to them.

Mapping diagram:

A mapping diagram has two parallel columns. First column refers the domain of a function f , and the next column for its range. The lines or arrows are drawn from domain to range, to represent the relation between any two elements.

Given,

Here we have the two sets Set A and Set B.

And we need to fill  in the blanks below in order to justify whether or not the mapping shown represents a function.

We know that, a function has a very unique attribute of having one output attributed to each input.

Here the Set A is the domain while set B denotes the range.

And in each value in the domain would have exactly one value in the range which would be different for each value in the domain.

Therefore, this mapping diagram illustrates a 1 input to 1 output relationship, so it is a function.

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Answer:

39

Step-by-step explanation:

Step-by-step explanation:

\(39 \: is \: the \: answer\)

The appropriate decision for this problem would depend on the calculated test statistic and its comparison to the critical value from the t-distribution table with a significance level of 0.01.

To determine the appropriate decision for this problem, the researcher needs to perform a hypothesis test. The null hypothesis (H0) would state that there is no difference in the mean prices of midrange homes between the two cities, while the alternative hypothesis (Ha) would state that there is a difference.

Since the sample sizes are relatively large (21 and 26), and the data is assumed to be normally distributed with similar variances, a two-sample t-test would be appropriate for comparing the means. The researcher can calculate the test statistic by using the formula:

\(t = (x1 - x2) / \sqrt{((s1^2 / n1) + (s2^2 / n2))}\)

Where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

With the calculated test statistic, the researcher can compare it to the critical value from the t-distribution table with (n1 + n2 - 2) degrees of freedom, and a significance level of 0.01. If the test statistic falls within the critical region (i.e., it exceeds the critical value), the researcher can reject the null hypothesis and conclude that there is a significant difference in mean prices between the two cities. Otherwise, if the test statistic does not exceed the critical value, the researcher fails to reject the null hypothesis and concludes that there is not enough evidence to suggest a difference in mean prices.

In this case, the appropriate decision would depend on the calculated test statistic and its comparison to the critical value.

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Answer:

He is incorrect

Step-by-step explanation:

Given

3(x + 1) - 5 = 3x - 2 ← simplify left side

3x + 3 - 5 = 3x - 2

3x - 2 = 3x - 2

Since both sides are equal, then this indicates that the equation has infinite solutions.

Let's solve your inequality step-by-step.

x+25>50

Step 1: Subtract 25 from both sides.

x+25−25>50−25

x>25

Answer:

x>25

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The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

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Answer:

Part A: The time it will take for both of them to painted equal number of feet is 4.875 minutes

The number of feet Benito will have painted when the two sides have equal length is 73.125 feet

Part B: It is not true that Tyler will finish painting his side of the fence before Benito finishes painting his

Part C: Time to rest is 1.864 minutes

Step-by-step explanation: The given information are;

The length of fence Tyler already painted when Benito started = 19 ¹/₂ feet

Benito paints 15 feet/minute

Tyler paints 11 feet/minute

Length of fence = 150 feet

Part A:

The time it will take for both of them to painted equal number of feet is given as follows;

11×t + 19.5 = 15×t

4×t = 19.5

t = 19.5/4= 4.875 minutes

The time it will take for both of them to painted equal number of feet = 4.875 minutes

The length Benito will have painted when the two sides have equal length = 15 × 4.875 = 73.125 feet

Part B: The time it will take Tyler to finish painting his side of the fence is given as follows;

11 × t + 19.5 = 150

t = (150 - 19.5)/11 ≈ 11.864 minutes

While the time it will take Benito to finish painting his side of the fence is given as follows;

15 × t  = 150

t = 150/15 ≈ 10 minutes

Therefore it is not true that Tyler will finish painting his side of the fence before Benito finishes painting his

Part C: Given that Benito finishes before Tyler, the length of time Benito gets to rest is given as follows;

Time to rest = Time Tyler takes to finish - Time Benito takes to finish

Time to rest = 11.864 - 10 = 1.864 minutes.

Answer: He did not both sides by 100. He did not look for the common denominator before solving.

x is actlly equal to 64

Answer:

f = 144 degrees

Step-by-step explanation:

Since there are 6 angles (a,b,c,d,e,f), this means that it is a 6-sided polygon. The formula to find the total sum of interior angles is (n-2)*180, n being the amount of sides.
Let's plug it into the formula: (6-2)*180 = 720
This means that a+b+c+d+e+f = 720, but we can substitute (a+b+c+d+e) for 576.
576+f=720
f = 144 degrees

Through the SAS rule of congruence, we prove that triangles LMY and LNX are congruent.​

Congruence is the condition when both of the figures have the same size, and shape and are mirror images of each other. SAS rule of congruence states when two sides and one angle is equal to the corresponding sides of the other triangle, then the two triangles are congruent.

Now, we have triangles LMY and LNX

In these two triangles, we have :

LX = LY { equal sides of isosceles triangle }

LM = LN { given}

∠LMY =  ∠LNX {corresponding angles of the equal sides of the isosceles triangle }

Hence, triangles LMY and LNX are congruent by the SAS rule of congruence.

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Answer:

The angle of DGC is 90 degrees

the value of x is positive 8

Step-by-step explanation:

xoxo brooke

The inequality given by (x/3) + 5 ≥ 1/6 has the solution x ≥ -29/2 or [-29/2 , +∞).

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

To solve an inequality is to find the values of x such that when we substitute that number for x we have a true statement.

Given the inequality (x/3) + 5 ≥ 1/6, subtract 5 from both sides.

(x/3) + 5 - 5 ≥ 1/6 - 5

x/3 ≥ -29/6

Multiply both sides by 3.

3(x/3) ≥ 3(-29/6)

x ≥ -29/2

To check, let x = -29/2

x = -29/2 ≥ -29/2

Substitute this value to the inequality.

(x/3) + 5 ≥ 1/6

(-29/2)/3 + 5 ≥ 1/6

1/6 ≥ 1/6

let x = -14,

x = -14 ≥ -29/2

Substitute this value to the inequality.

(x/3) + 5 ≥ 1/6

-14/3 + 5 ≥ 1/6

1/3 ≥ 1/6

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Answer:

-1/4 is the slope.

Step-by-step explanation:

To find the slope of the given points, we can use the formula:

y2-y1/x2-x1

So, in this case, subtract 5 and 7, and subtract 9 and 1.

5-7=-2

9-1=8

-2/8

Now, simplify.

-1/4 is the slope.

Answer:

Tras 10 días la acción habrá caído $795.

Step-by-step explanation:

Dado que durante 8 días el precio de una acción de una compañía X cae 720 pesos, en el noveno día sube 45 pesos y el decimo día cae 120 pesos, `para determinar el valor de las acciones al terminar el decimo día se debe realizar el siguiente cálculo:

X - 720 + 45 - 120 = Valor

X - 840 + 45 = Valor

X - 795 = Valor

Por lo tanto, tras 10 días la acción habrá caído $795.

The probability is  0.00000911843.

The number of terms is 40 because the number selected falls within the range of integers 1 through 40 (inclusive).

Thus; n = 40

The combination formula, which is; gives the probability that 6 integers (r = 6)—the number of possible outcomes—will be obtained without repetition.

C(n, r) = n!/((n - r)!(n - r)!)

C(40, 6) = 40!/(6!(40 - 6)!)

C(40,6) = 3838380

When it comes to selecting a single item, there are several options available.

(1 - 6, 2 - 7, 8 - 13,...e.t.c)

There will be 35 successful results in all.

The likelihood that the winning numbers will be chosen from a set of six consecutive integers is;

P (that six consecutive integers will be chosen at random as the winning numbers) = likelihood of favorable outcomes/probabilities = 35/3838380 = 0.00000911843

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The quadratic equation, rf = ri + vit + 1/2 at^2, can be rearranged to solve for t in terms of other variables using the quadratic formula. The solution is t = (-v ± sqrt(v^2 + 2a(rf - ri))) / a.

To solve for t in terms of other variables, we can rearrange the equation as follows:

rf = ri + vit + (1/2)at^2

rf - ri = vit + (1/2)at^2

(2/rf - ri) = (2v/rf)t + (a/rf)t^2

(2/rf - ri)/(2v/rf) = t + (a/rf)t^2(2v/rf)

t^2(a/rf) + t(2v/rf) - (2/rf - ri)/(2v/rf) = 0

This is a quadratic equation in t, which can be solved using the quadratic formula:

t = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = (a/rf), b = (2v/rf), and c = -(2/rf - ri)/(2v/rf).

Therefore, the solution for t is:

t = [(-2v/rf) ± sqrt((2v/rf)^2 - 4(a/rf)(-(2/rf - ri)/(2v/rf))) ] / 2(a/rf)

Simplifying this expression gives:

t = [(-2v ± sqrt(4v^2 + 8a(rf - ri))) / (2a)] * (rf/2)

t = [-v ± sqrt(v^2 + 2a(rf - ri))] / a

Therefore, the solution for t in terms of other variables is:

t = (-v ± sqrt(v^2 + 2a(rf - ri))) / a

Note that there are two possible solutions for t due to the ± sign, which give the times at which the particle reaches the final position rf.

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The investment's expected return is 5.95%.

The expected return of an investment is calculated by multiplying the probabilities of each possible return by their respective returns and summing them up. In this case, Gautney Enterprises has provided the probabilities and returns for the investment. By applying the formula, we find that the expected return is 5.95%.

To calculate the standard deviation, we need to determine the variance first. The variance is computed by taking the difference between each possible return and the expected return, squaring those differences, multiplying them by their respective probabilities, and summing them up. Once we have the variance, the standard deviation is simply the square root of the variance. The standard deviation measures the degree of risk associated with an investment.

In this scenario, the expected return of the investment is 5.95%, but we need to consider the standard deviation as well to assess the risk. If the standard deviation is high, it indicates a greater level of uncertainty and potential volatility in returns. A low standard deviation implies a more stable investment.

Without the specific values for each return and their respective probabilities, we cannot calculate the exact standard deviation. However, Gautney Enterprises should compare the calculated expected return and the associated standard deviation to their risk tolerance and investment objectives. If the expected return meets their desired level of return and the standard deviation aligns with their risk appetite, they may consider investing in this security.

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Answer: 360

Step-by-step explanation:

done

71.5° should be the angle of elevation to the summit of the tree. The tree to the nearest foot is 149.4ft.

Between the horizontal line and the line of sight, an angle called the angle of elevation is created. An angle of elevation is produced when the line of sight is upward from the horizontal line. When it lies between the line of sight and the horizontal line, the angle of elevation is generated. The angle created, known as the angle of elevation, occurs when the line of sight is above the horizontal line. However, the line of sight is downward toward the horizontal line in the depression angle. The angle of elevation is the angle formed by the horizontal line of sight and the object when a person stands and looks up at something.

tan 71.5°=opp/hyp

tan 71.5°=y/50

y=50(tan 71.5°)

y=50(tan 71.5°)

y=50(2.98868)

y=149.4ft

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Answer:

10.50

Step-by-step explanation:

6.50 + 6.50 = 13

13 - 2.50 = 10.50

Answer:

1325 yards squared

Step-by-step explanation:

As a reminder, the area of any triangle is the height times the width times 1/2. Therefore, the area is:

50*53*1/2

=25*53

=1325 yards squared

Answer:

The answer is 1325.

Step-by-step explanation:

1825-500=1325