According to the vertical line test, is the equation x=y^2 a function?

Answer: Y= 9

Step-by-step explanation: I am also confused on the second box, but i can help you with the first. 5y+7=52 and I just solved that

Answer:

9/16

Step-by-step explanation:

3/4 x 3/4 = 9/16

a. The owners' equity increased from $1,567 in 2014 to $3,122 in 2015.

b. The change in net working capital for 2015 is $168.

c. The amount of fixed assets did Weston Enterprises sold is $1630

d. Weston Enterprises must have paid off $2,253 in long-term debt during the year

Now, let's move on to the questions.

a. To find the owners' equity for 2014 and 2015, we need to subtract the total liabilities from the total assets. For 2014, the calculation would be,

Owners' equity 2014 = Total assets 2014 - Total liabilities 2014

Owners' equity 2014 = (Current assets 2014 + Net fixed assets 2014) - (Current liabilities 2014 + Long-term debt 2014)

Owners' equity 2014 = (964 + 4,384) - (401 + 2,380)

Owners' equity 2014 = $1,567

For 2015, the calculation would be:

Owners' equity 2015 = Total assets 2015 - Total liabilities 2015

Owners' equity 2015 = (Current assets 2015 + Net fixed assets 2015) - (Current liabilities 2015 + Long-term debt 2015)

Owners' equity 2015 = (1,176 + 5,104) - (445 + 2,713)

Owners' equity 2015 = $3,122

b. The change in net working capital for 2015 can be calculated by subtracting the net working capital for 2014 from the net working capital for 2015. Net working capital is the difference between current assets and current liabilities.

Net working capital 2014 = Current assets 2014 - Current liabilities 2014

Net working capital 2014 = 964 - 401

Net working capital 2014 = $563

Net working capital 2015 = Current assets 2015 - Current liabilities 2015

Net working capital 2015 = 1,176 - 445

Net working capital 2015 = $731

Change in net working capital = Net working capital 2015 - Net working capital 2014

Change in net working capital = 731 - 563

Change in net working capital = $168

c. To find out how much in fixed assets Weston Enterprises sold, we need to use the equation for the cash flow from assets,

Cash flow from assets = Cash flow to creditors + Cash flow to owners

Cash flow from assets = (Interest paid - Net new long-term debt) x (1 - Tax rate) + (Depreciation x Tax rate)

Cash flow from assets = (328 - (2,713 - 2,380)) x (1 - 0.4) + (1,190 x 0.4)

Cash flow from assets = (-$57) + $476

Cash flow from assets = $419

Net increase in fixed assets = Net fixed assets 2015 - Net fixed assets 2014

Net increase in fixed assets = 5,104 - 4,384

Net increase in fixed assets = $720

Amount of fixed assets sold = Net increase in fixed assets - New fixed assets purchased

Amount of fixed assets sold =  $2,350 - $720

Amount of fixed assets sold = $1,630

d. To calculate the amount of long-term debt paid off during the year, we need to use the equation for the cash flow to creditors,

Cash flow to creditors = Interest paid - Net new long-term debt

Cash flow to creditors = $328 - ($455 - $2,380)

Cash flow to creditors = $2,253

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The total sell in a month if salesman needed to have a monthly income of $1500 is $894657.14.

The total monthly earnings for salespeople can be calculated as follows:

Monthly salary = base salary + sales commission

Given that what a local salesman generates a base salary of $875 and a 10% sales commission on any and all sales above $1,800, the salesman must make the following sales in order to earn $1500 in a given month:

Let the sales done by 'x'.

Then,

875 + 7% (x - 1800) = 1500

875 + (7/100) (x - 1800) = 1500

7(x - 1800) = 62500

x - 1800 = 8928.7

x = 894657.14

Thus, the total sell in a month if salesman needed to have a monthly income of $1500 is $894657.14.

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Answer:

The correct options are;

a) The city's data has the higher median monthly apartment cost of the two cities by $155

b) The city's data had the greater variability among monthly apartment costs because the standard deviation was $49.13 more than that of the other set of data

Step-by-step explanation:

The given data for the cost of renting a one-bedroom apartment in Dallas is presented as follows;

$994, $1,322, $1,075, $1,189, $1,172, $1,465, $1,215, $930, $1,090, $1,288

Which can be arranged in increasing order and analyzed to find the interquartile range, mean and standard deviation using Microsoft Excel as follows;

$930, $994, $1,075, $1,090, $1,172, $1,189, $1,215, $1,288, $1,322, and $ 1,465

The first quartile, Q₁ = $1,054.75

The third quartile, Q₃ = $1,296.5

The interquartile range = Q₃ - Q₁ = $241.75

The median = $1,180.5

The average monthly cost = $1,174

The standard deviation of the sample = $159.9597

The given data for the cost of renting a one-bedroom apartment in Austin is presented in increasing order using Microsoft Excel as follows;

$900, $950, $1,100, $1,250, $1,296, $1,375, $1,389, $1,400, $1,450, $1,495

The interquartile range, mean and standard deviation are found using Microsoft Excel as follows;

The first quartile, Q₁ = $1,062.5

The third quartile, Q₃ = $1,412.5

The interquartile range = Q₃ - Q₁ = $1,412.5 - $1,062.5 = $350

The median = $1,335.5

The average monthly cost = $1,260.5

The standard deviation of the sample = $209.0945

The difference in the median cost of the two cities is $1,335.5 - $1,180.5 = $155

Therefore, the Austin's city data has the higher median monthly apartment cost of the two cities by $155

b) The difference in the sample standard deviation of the two cities is $209.0945 - $159.9597 = $49.13476

Therefore, the Austin city data had the greater variability among monthly apartment costs because the standard deviation was $49.13 more than that of the other set of data.

Answer:

This city's data had the higher median monthly apartment cost of the two cities by $155.

This city's data had the higher interquartile range of the two cities by $87.

This city's data had the greater variability among monthly apartment costs because the standard deviation was $49.13 more than that of the other set of data.

Step-by-step explanation:

Austin Mean: 1335.5

Dallas Mean: 1180.5

Interquartile Range (Austin): 300

Interquartile Range (Dallas): 213

Standard Deviation (Austin): 209.0945

Standard Deviation (Dallas): 159.9597

Answer:

one of them is two trapezoids

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

Took the lesson on edge 2021

Answer:

54cm, which is one side length

Step-by-step explanation:

The sum of all of the sides are 6, it's a regular hexagon the perimemter is just six times one side 36cm

Hope It Helps!

Answer:

C=89.2

Step-by-step explanation:

The formula of the circumference of a circle is C=2piR (or C=piD). Now, when calculating, plug in the numbers, giving you C=2pi14.2. Multiply everything, you get a super long irrational number; just round. You will get 89.2.

Answer:

12.

Step-by-step explanation:

Answer:

mean 4.86

MAD = 1.91

Step-by-step explanation:

The required week that had greater variability in high temperature is week 2.

Given that,
The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius.
The second week had a mean high temperature of 4.86 degrees Celsius and a mean absolute deviation (MAD) of 1.91 degrees Celsius.

Statistics is the study of mathematics that deals with relations between comprehensive data.

Here,
The system of observation that has a higher mean absolute deviation, will have the chance of greater variability in high temperature. So,
mean absolute deviation of week 1 = 1
mean absolute deviation of week 2 = 1.91
MAD of week  2 > MAD of week 1

Thus, the required week that had greater variability in high temperature is week 2.

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Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

Step-by-step explanation:

You are given a pair of alternate interior angles which are both right angles and are formed by a transversal line cutting two lines. That means the pair of angles are congruent.

Use the Alternate Interior Angles Theorem and by that those two lines must be parallel.

Let x be the minimum number of cars Ken has to wash to reach his goal, then we can set the following linear equation:

Solving the above equation for x, we get:

Rounding up to the nearest whole number we get:

The least common multiple (LCM) of 4x²y³ and 6x³y² is 12x³y³

From the question, we are to determine the least common multiple of the given expressions

The given expressions are 4x²y³ and 6x³y²

To determine the lowest common multiple of the given expressions, we will express the expressions as a product of their factors

Expressing the expressions as a product of their factors

4x²y³ = 2 × 2 × x × x × y × y × y

6x³y² = 2 × 3 × x × x × x × y × y

The common factors are 2 × 2 × 3 × x × x × x × y × y × y

2 × 2 × 3 × x × x × x × y × y × y = 12x³y³

Hence, the LCM is 12x³y³

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Step-by-step explanation:

Distance Linda covers is  3 m/s  * t

This has to be the same distance that maggie

        covers which is 1/2 a t^2 =  1/2 * 2 t^2 =  t^2

so    3 t   = t^2    divide both sides by 't'

         t = 3 seconds

Answer:

The mean of the given set of numbers is 3.5

Step-by-step explanation:

We need to find the mean of following numbers:

8.9, 6.1, -4.8, 8.2, 2.7,-0.1

For calculating the mean the formula used is: \(Mean=\frac{Sum \ of \ all \ numbers}{Total \ numbers}\)

Finding sum of numbers:

\(Sum \ of \ numbers= 8.9+6.1-4.8+8.2+2.7-0.1\\Sum \ of \ numbers= 21\)

Total numbers = 6

So, mean is:

\(Mean=\frac{Sum \ of \ all \ numbers}{Total \ numbers}\\Mean=\frac{21}{6}\\Mean= 3.5\)

So, mean of the given set of numbers is 3.5

The process to graph a line is described below, and the graph of the linear equation is on the image at the end.

I will help you to graph the first line step-by-step.

The linear equation we want to graph is:y = (3/2)*x + 3

First, we need to find two points on the line.

We can do that by evaluating the equation in two different values of x.

If x = 0:

y = (3/2)*0 + 3 = 3

We have the point (0, 3)

if x = 2:

We wil get:y = (3/2)*2 + 3 = 6

We have the point (2, 6)

Now you just need to graph these two points on a coordinate axis and then draw a line that connects them.

That line is the graph of the linear equation.

The graph can be seen on the image at the end.

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The triangular table does not represent a right triangle.

b) The Pythagorean theorem asserts that the total of the square of both of the shorter sides of a right triangle equals the square of the side that is longest (the hypotenuse). The side lengths in this example are 4 feet, 3 feet, and 2 feet. To see if the Pythagorean theorem is true with these side lengths, we can apply it.

Taking each square of side lengths: 42 = 16 32 = 9 22 = 4

If the table were a right a triangle, the total of the squares of the two smaller sides (9 + 4 = 13) should equal the square of the side that is longest (16), according to the Pythagoras theorem. In this situation, however, 13 does not equal 16.

As a result, the triangular tables does not meet the Pythagorean theorem criteria, showing that it is not a triangle with a right angle.

c) You can find out more regarding the Pythagorean theorem

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Mrs Gomez is buying a triangular table for the corner of her classroom. The side lengths of the table are 4 feet, 3 feet, and 2 feet. The triangular table is not a right triangle since the sum of the squares of the two shorter sides (9 + 4 = 13) does not equal the square on the longest side (16), proving that the triangle is not a right triangle. Thus Option B. is the correct answer.

In order to determine whether or not the triangular table is a right triangle, we must first see if the Pythagorean theorem holds true for the specified side lengths. According to the Pythagorean theorem, the square of the hypotenuse, the longest side of a right triangle, equals the sum of the squares of the lengths of the other two sides.

Let's compute the squares of the side lengths given:

2² = 4

3² = 9

4² = 16

Let's now evaluate the available options for answers:

OA. Yes, because 2² + 3² = 4².

4 + 9 = 16

This option is incorrect since the squares of the two shorter sides do not add up to the square of the longest side.

OB. No, because 2² + 3² > 4².

2² + 3² = 4 + 9

2² + 3² = 13

4² = 16

This option is correct since 13 does not equal 16. Hence, the triangular table is not a right triangle

OC. No, because 2² + 3² + 4².

This option seems to be incomplete because to decide whether it is a right triangle or not, there is no comparison or equation.

OD. Yes, because 2 + 3 + 4.

This option is incorrect because it just adds the side lengths without taking the Pythagorean theorem into account.

Therefore, Option B is the correct answer.

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Answer:

What's the best estimate for 26% of 44

Step-by-step explanation:

Answer: c

Step-by-step explanation:

The median age of the presidents at their death is 69.

The median is the value that is exactly in the middle of a dataset when it is arranged in order. It is a measure of central tendency which separates the lowest 50% from the highest 50% of values.

The median formula is {(n + 1) / 2}th, where “n” is the number of items in the set and “th” means the (n)th number. To find the median, first arrange the data points from smallest to largest.

The steps for finding the median differ depending on whether we have an odd or an even number of data points. If the number of data points is odd, the median is the middle data point in the list. If the number of data points is even, the median is the average of the two middle data points in the list.

In this case, the number of data points is even, that is 38. So, the median is:

= {(n + 1) / 2}th

= {(38 + 1) / 2}th

= 19,5th

Thus, it means the median is the average of the 19th and 20th in the data points. So, it will be:

Median = (68 + 70) / 2

Median = 138 / 2

Median = 69

Hence, the median age of the presidents at their death is 69.

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Although part of your question is missing, you might be referring to this full question: This list shows the age at which 38 U.S. Presidents died.

46 58 64 68 73 80 90

49 60 65 70 74 81 93

53 60 66 71 77 83

56 63 67 71 78 85

56 63 67 71 78 88

57 64 67 72 79 90

What is the median age of the presidents at their death?

A. 69

C. 68

b. 67.5

d. 70

Based on the definition of an isosceles trapezoid, the measure of angle MQP in the figure shown is: m∠MQP = 73°.

An isosceles trapezoid has the following properties:

The figure given is an isosceles trapezoid.

The measure of angle MNP is given as 107°.

Angle MQP and angle MNP are opposite angles.

Based on the properties of an isosceles trapezoid, we have:

m∠MQP + m∠MNP = 180

Substitute

m∠MQP + 107 = 180

m∠MQP = 180 - 107

m∠MQP = 73°

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The Edit Distance Algorithm is an important concept in computer science. The algorithm compares two strings and finds the minimum number of operations (insertions, deletions, and substitutions) that are required to transform one string into the other.

Below is the solution to the given question:

X = (B, A, N, A, N, A)      

Y = (P, A, N, D, O, R, A)

Table to compute Edit Distance:

P A N D O R A 0 1 2 3 4 5 6 B 1 1 2 3 4 5 6 A 2 1 2 3 4 5 6 N 3 2 1 2 3 4 5 A 4 3 2 3 4 5 6 N 5 4 3 2 3 4 5 A 6 5 4 3 4 5 4

The table shown above contains the minimum number of operations required to transform one string into the other. The top row represents string Y, and the left column represents string X. The table is filled using the following formula: If the characters at the current position are the same, then the value is taken from the diagonal element. (In this case, no operation is required.)

If the characters are different, then the value is taken from the minimum of the three elements to the left, above, and diagonal to the current element. (In this case, the operation that produces the minimum value is chosen.)

From the table above, the optimal solution can be found by tracing back the path that produced the minimum value. Starting from the bottom right corner, the path that produces the minimum value is:

A  -> R (Substitution)

O -> O (No operation)

D -> N (Substitution)

N -> A (Substitution)

A -> A (No operation)

P -> B (Substitution)

Therefore, the optimal solution is to substitute A with N, N with D, A with N, and P with B. So, (B, A, N, A, N, A) can be transformed into (P, A, N, D, O, R, A) using four operations.

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Answer: That is most likely an unsolvable question.

Step-by-step explanation: PEMDAS

3×4×100±67≤65 Doesn’t work.

3x4= 12 ~ 12x100=1200 ~ 1200+67=1267  ~ 1267<65

556∪120D⊥p=13⇆87∞44f1······ Also clearly isn’t a math question

I am not sure if this helps. But I really did look into it and found nothing. I am So sorry to disappoint.

since a year has 12 months, then 3 years will be 36 months, now, 3 years and 9 months is just 36 + 9 = 45 months.  So we can say that 3 years and 9 months is really 45/12 of a year.

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$800\\ r=rate\to 2.65\%\to \frac{2.65}{100}\dotfill &0.0265\\ t=years\to \frac{45}{12}\dotfill &\frac{15}{4} \end{cases} \\\\\\ A=800[1+(0.0265)(\frac{15}{4})]\implies A=800(1+0.099375) \\\\\\ A=800(1.099375)\implies A=879.5\)

Answer:

G-10

Step-by-step explanation:

because i dont have time to expalin

Answer:

She earned $288 this week

Step-by-step explanation:

x = 12

Work = 2(12) + 8

24 + 8 = 32 hours

Earned = (12) - 3 = 9 per hour

32 × 9 = $288

I hope this helps!