What is another way to write the absolute value inequality

If the points lie on a straight line passing through the origin, it would support Enid's claim that the distance she jogs and the number of calories she burns are in a proportional relationship.

What is proportion ?

Proportion refers to the relationship or comparison between two or more quantities or values. It is typically expressed as a ratio or fraction that compares the part to the whole or the amount of one thing to the amount of another thing.

The two correct methods that Enid can use to test her claim are:

She could calculate the ratio change in calories burned to change in miles jogged for two data points and compare the results to the same ratio with two other data points.

This method involves calculating the ratio of the change in calories burned to the change in distance jogged for two pairs of data points, and then comparing the results to see if they are the same. If they are the same, it would support Enid's claim that the distance she jogs and the number of calories she burns are in a proportional relationship.

She could plot the data on a coordinate plane and see if a straight line starting at (0, 0) passes through all the data points.

This method involves graphing the data points on a coordinate plane and checking if they form a straight line that passes through the origin (0, 0).

Therefore, If the points lie on a straight line passing through the origin, it would support Enid's claim that the distance she jogs and the number of calories she burns are in a proportional relationship.

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Tom will need to bring to the closing $54,341.27 He would need 12 and it would cost 50k.

The meaning down payment is a part of the full price paid at the time of purchase or delivery with the balance to be paid later.

We have given that,

Tom buys a condominium for $42,600.

Inspection, $110; mortgage fee, $852; legal fees, $450; title insurance, $286

He makes a down payment of 15% and pays these closing costs to survey $225.

9% payments: $563.24

7% payments: $494.75.

Monthly savings: $69.49

9% total repaid: $2022,764.90  

7% total repaid: $148,423.63

Savings: $54,341.27

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Answer:

\(f(0) = 6\)

Step-by-step explanation:

Given

See attachment for table

Required

Determine \(f(0)\)

From the table;

\(f(x) = 6\) when \(x =0\)

So:

\(f(0) = 6\)

Answer: Use 1.75 cups of blue and 1 cup of yellow

Step-by-step explanation:

The given problem can be placed in the category of ratios and proportions. There is a ratio of color mixing which contains the proportion of two colors i.e blue and yellow. When we use 2 cups of yellow with 3.5 cups of yellow then we get green color so if we mix half of their amounts then we can get less or simply half amount of color too. Hence adding 1 cup of yellow and 1.75 cup of blue will give us small amount in result.

Refer to the attachment.

Answer:

9x^6y√y

Step-by-step explanation:

√81x¹²y³ = √9*9* x^6* x^6 * y*y*y = 9x^6y√y

Step-by-step explanation:

square root of 26

becoz √26=5.099

=5.1

Answer:

square root of 26

Step-by-step explanation:

this is because when 26 is squared it equals 5.09902, so 5.1 is greater than 5

The linear equation that can be used to find the height considering all the information is h2 = h1 + (-0.5)(t2 - t1)

The height of a candle can be modeled by a linear function with a slope of -0.5 cm/hour.

If the height of the candle after t1 hours is h1 centimeters, then the height of the candle after t2 hours is given by h2 = h1 + (-0.5)(t2 - t1).

So, if the height of the candle after t1 hours is h1 centimetres, and after t2 hours is h2 centimeters, we have:

h2 = h1 + (-0.5)(t2 - t1)

We can use the given information to find the value of h1, and then use the equation above to find the value of h2.

However, the information given in the question is not enough to solve for h1 and h2. We need more information such as the height of the candle after a certain number of hours.

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Answer:

3

Step-by-step explanation:

Pythagorean rule

\(hyp = opp + adj \\ therefore. \\ opp = hyp - adj \\ and \\ adj = hyp - opp\)

opp=13-10

opp=3

Based on the random sample, we can state that 750 students in the school dislike the 8.30 am start.

A random sample involves a randomly selected subset of a population where each unit has an equal chance of being selected.

The student population = 1,000

Sample size = 40

The number of students who do not like the 8.30 am start from the sample = 30

Sample percentage = 75% (30/40 x 100)

The estimated number of students who dislike the 8:30 am start = 750 (1,000 x 75%).

Thus, using the sample, we can conclude 750 students dislike the 8:30 am start time.

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Answer:

The answer is Beth.

Step-by-step explanation:

It states "Becky is not Sleeping Beauty and went trick-or-treating with Snow White" so we know that its not Becky. It also states "Beth and Sleeping Beauty are sisters" so we know that Beth is not Sleeping Beauty and we know that Becky is not Sleeping Beauty or Snow White. So it means that Barbara is Sleeping Beauty, Becky is Cinderella and Beth is Snow White.

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Answer:\(x<−95+3y5\)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

$12$ km

Step-by-step explanation:

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Answer:

Part A: ≈112.06

Part B: B

Step-by-step explanation:

Find the surface area and volume for the separate shapes, then add them up together

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The total amount to be paid at the end of the 10-year period is $24,465. The correct answer is option d. To calculate the total amount to be paid, we need to consider the compounded interest on the borrowed amount.

The nominal interest rate of 12% compounded quarterly means that interest is added to the principal four times a year. Using the formula for compound interest, we can calculate the future value of the loan. The formula is given as:

Future Value = Principal * (1 + (Nominal Interest Rate / Number of Compounding Periods))^Number of Compounding Periods * Number of Years

In this case, the principal is $7,500, the nominal interest rate is 12% (or 0.12), the number of compounding periods per year is 4 (quarterly), and the number of years is 10.

Plugging in these values into the formula, we get:

Future Value = $7,500 * (1 + (0.12 / 4))^(4 * 10) = $24,465

Therefore, the total amount to be paid at the end of the 10-year period is $24,465. The correct answer is option d.

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A. X + 5 = 2: Subtract 5 from both sides to isolate X, giving X = -3.

96 – 4x = -282: Subtract 96 from both sides, then divide by -4 to solve for X, giving X = 94.5.

X – 10 = 22: Add 10 to both sides to isolate X, giving X = 32.

5x + (-55) = 203: Add 55 to both sides, then divide by 5 to solve for X, giving X = 51.

X – 27 = 8 + 10: Add 27 to both sides, then subtract 10 from both sides to isolate X, giving X = 45.

B. Let the amount saved last week be N. The equation can be written as 2N + 50 = 200. Subtract 50 from both sides, then divide by 2 to find N = 75.

Let the number be N. The equation can be written as 2N - 7 = 15. Add 7 to both sides, then divide by 2 to find N = 11.

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The area of the parallelogram is (b) 2x³ - 6x - 14x + 24

from the question, we have the following parameters that can be used in our computation:

The parallelogram (see attachment)

Where, we have

Base = 2x² + 2x - 6

Height = x - 4

The area is calculated as

Area = Base * height

So, we have

Area = (2x² + 2x - 6) * (x - 4)

Evaluate

Area = 2x³ - 6x - 14x + 24

Hence, the simplified expression of the area  is (b) 2x³ - 6x - 14x + 24

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This data would be considered "paired" data.

The population of ferrets from which our sample was drawn, represented as μd, where μd = μend - μstart, and μ represents the population mean.

       We are dealing with "paired" data since we are comparing the weights of the same ferrets at two different points in time.

      The parameter we are trying to estimate is the mean difference in weight between the start and end of the study for the population of ferrets from which our sample was drawn.

This mean difference in weight can be represented as μd, where μd = μend - μstart, and μ represents the population mean. To estimate this parameter, we would need to calculate the difference in weight for each ferret and then take the average of these differences. This estimate would then provide us with an understanding of how much, on average, the ferrets in the population have gained or lost weight over the course of the study.  

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32 papers would Ashley have to remain to grade after working for 6 hours.

What is simplification?

Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.

Here, we have

Ashley is a teacher and takes home 98 papers to grade over the weekend.

She can grade at a rate of 11 papers per hour.

We have to calculate how many papers would Ashley has remaining to grade after working for 6 hours.

Based on the given conditions, formulate:: 98 - 11 × 6

Calculate the product or quotient: 98 - 66

Calculate the sum or difference: 32

Hence, 32 papers would Ashley have to remain for a grade after working for 6 hours.

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Option (A) Names of TV shows taped in New York are an example of qualitative data. Qualitative data is descriptive in nature and does not involve numerical values or measurements.

It deals with qualities or attributes that cannot be expressed numerically. In this case, the names of TV shows are characteristics that describe the nature of the data. Quantitative data, on the other hand, is numerical data that can be measured and expressed in numbers. A parameter is a measurable factor or variable that can be used to define a system, while statistics is a branch of mathematics that deals with data collection, analysis, and interpretation. In conclusion, since the names of TV shows are descriptive in nature and do not involve numerical values, they are an example of qualitative data.

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Answer:

-6

Step-by-step explanation:

Answer:

y = 1/3x - 3

Step-by-step explanation:

Answer:

  86 ft

Step-by-step explanation:

You want the straight line distance from a location 50 ft from a hotel to a window that has an angle of elevation of 54.5°.

The cosine relation between sides and angles in a right triangle is ...

  Cos = Adjacent/Hypotenuse

The 50 ft distance is adjacent to the angle, and we want to find the hypotenuse. Using this equation, we can solve for the length we want:

  Hypotenuse = Adjacent/Cos

Using the numbers in the problem statement, we find the straight-line distance to be ...

  LW = LH/cos(54.5°) = (50 ft)/0.580703 ≈ 86 ft

The distance between Penny and Lisa is about 86 feet.

__

Additional comment

We don't know what drawing tools you have available. The attached diagram was drawn by locating the window at 50tan(54.5°) up from the base of the hotel. The tool provided the length of LW as 86.1.

We could have use a rotation tool to create the angle of 54.5°, or a line graphing tool to draw the line through (50, 0) with slope tan(-54.5°). Then an intersection tool could have located the window at the point of intersection of that line and the y-axis.

The calculation we did above is about the easiest for determining the distance mathematically (not having the tool measure it).

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Answer:

tanG = 2

tanH = \(\frac{1}{2}\)

Step-by-step explanation:

The function tangent is the opposite side divided by the adjacent one(SohCahToa).

Relative to angle G, the side with measure 2 is opposite while the wide with measure 1 is adjacent. From this we can set up an equation and substitute:

tan(m<G) = \(\frac{opposite}{adjacent}\)

tan(m<G) = \(\frac{2}{1} = 2\)

The same can be done for <H. The opposite side is 1 while the adjacent is 2:

tan(m<H) = \(\frac{opposite}{adjacent}\)

tan(m<H) = \(\frac{1}{2}\)

Answer:

I think that x would be 32

Step-by-step explanation:

11 plus 21 is 32

Answer:17

Step-by-step explanation:

The conditional probability that the coin chosen is fake given that it was flipped three times and all three flips resulted in heads is higher than the initial probability.

Let A be the event that the coin chosen is fake, and B be the event that the three flips resulted in heads. We are given that the probability of choosing the fake coin is 0.1, i.e. P(A) = 0.1, and the probability of getting heads with the fake coin is 1, i.e. P(B|A) = 1. The probability of getting heads with the fair coin is 0.5, i.e. P(B|A') = 0.5, where A' is the event that the coin chosen is fair. Using Bayes' theorem, we can calculate the conditional probability of A given B:

P(A|B) = P(B|A) * P(A) / (P(B|A) * P(A) + P(B|A') * P(A'))

Plugging in the given values, we get:

P(A|B) = 1 * 0.1 / (1 * 0.1 + 0.5 * 0.9) = 0.18

Therefore, the conditional probability that the coin chosen is fake given that it was flipped three times and all three flips resulted in heads is 0.18, which is higher than the initial probability of 0.1. This means that the evidence of three consecutive heads increases the likelihood that the coin is fake.

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