Which inequality is NOT true?
A 65.7 < 67.54
B 4.003 > 4.03
C 26.4 < 26.48
D 0.91 > 0.097

Given:

Consider the below figure attached with this question.

To find:

The function that has the domain \(x\geq -11\).

Solution:

We know that, a radical function is defined for only non negative radicand.

In option A, the function is defined if

\(x+11\geq 0\)

\(x\geq -11\)

The domain of this function is \(x\geq -11\). So, option A is correct.

In option B, the function is defined if

\(x-11\geq 0\)

\(x\geq 11\)

The domain of this function is \(x\geq 11\). So, option B is incorrect.

In option C and D, the function is defined if

\(x+5\geq 0\)

\(x\geq -5\)

The domains of these function are \(x\geq -5\). So, options C and D are incorrect.

Hence, option A is correct.

Answer:

A

Step-by-step explanation:

Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.

To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:

A = \(Pe^(^r^t^)\)

where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:

640 = \(Pe^(^0^.^0^3^5^*^9^)\)

640 = Pe^0.315

P =\(640/e^0^.^3^1^5\)

P = 432.43

Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.

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Answer:

1 inch on the model represents 1,100 inches on the actual ship.

Step-by-step explanation:

6600/6 = 1,100

Answer:

\(\frac{1}{1100}\rightarrow\text{This means for every 1 inch (for the model), it represents 1100 inches in real life}\)

Step-by-step explanation:

Let's set up a fraction to represent the scale factor.

\(\frac{Model}{Actual\ Size}\)

We can substitute the given values into the fraction.

\(\frac{6in}{550ft}=\frac{6in}{6600in}\)

Simplify the fraction.

\(\frac{1}{1100}\)

For the equation g(x) = 6 - 1, the graph of g(x) differs from the graph of f(x) by translating down 1 unit.

For the equation g(x) = 2 + 1, the graph of g(x) differs from the graph of f(x) by translating up 1 unit.

In the Desmos Graphing Calculator, when entering the equation f(x) = 6 and g(x) = 6-1, we can observe the difference between the graphs of f(x) and g(x).

The equation f(x) = 6 represents a horizontal line at y = 6. The graph of f(x) is a straight line parallel to the x-axis, passing through the y-coordinate 6.

On the other hand, the equation g(x) = 6 - 1 represents a line that is one unit below the line represented by f(x). The graph of g(x) is a parallel line to the graph of f(x), but shifted downward by one unit.

Therefore, the correct answer is:

The graph of g(x) differs from the graph of f(x) by translating down 1 unit.

Similarly, when entering the equation f(x) = 2 and g(x) = 2 + 1, we can observe the difference between the graphs of f(x) and g(x).

The equation f(x) = 2 represents a horizontal line at y = 2. The graph of f(x) is a straight line parallel to the x-axis, passing through the y-coordinate 2.

The equation g(x) = 2 + 1 represents a line that is one unit above the line represented by f(x). The graph of g(x) is a parallel line to the graph of f(x), but shifted upward by one unit.

Therefore, the correct answer is:

The graph of g(x) differs from the graph of f(x) by translating up 1 unit.

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Step-by-step explanation:

To work out the height of the cuboid, we need to use the formula:

Volume = Length x Width x Height

We have been given the volume and the length, so we can substitute those values into the formula:

540 = 6 x Width x Height

Now we need to convert the width from millimeters to centimeters, so we divide it by 10:

150mm ÷ 10 = 15cm

Substituting this value into the formula:

540 = 6 x 15 x Height

Simplifying:

540 = 90 x Height

Dividing both sides by 90:

6 = Height

Therefore, the height of the cuboid is 6cm.

Answer:

Ghg676fyudfiddiro677c

Answer:

it's equal labrum that's easy buddy

Step-by-step explanation:

There is one solution in the system of equation

The system of equations is given as:

8x=12y-9 and 27y+18x=21

Divide 8x=12y-9 by 8

x = 1/8(12y-9)

Substitute x=1/8(12y-9) in 27y+18x=21

27y + 18 * 1/8(12y-9) =21

Expand

27y + 27y - 20.25 =21

Evaluate the like terms

54y = 41.25

Divide by 54

y = 0.7639

Hence, there is one solution in the system of equation

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Answer:

99.68 mm

Step-by-step explanation:

Multiply 112 by 0.11 to get 12.31 as the 11% cut off.  Subtract that number from 12.31 to get your final answer which is 99.68mm in which is that thick for the new version.

A salary slip for the month of March 2023 with information given below.

Salary Slip - March 2023

Employee Details:

Name: [Employee Name]

Employee ID: [Employee ID]

Designation: [Employee Designation]

Earnings:

Basic Salary: [Basic Salary]

House Rent Allowance (HRA): [HRA]

Dearness Allowance (DA): [DA]

Incentive: [Incentive]

Total Earnings: [Total Earnings]

Deductions:

Provident Fund (PF): [PF]

Insurance: [Insurance]

Loss of Pay (LOP): [LOP]

Total Deductions: [Total Deductions]

Net Pay: [Net Pay]

Breakdown:

Basic Salary: 50% of CTC (18L) = [Basic Salary]

HRA: 20% of Basic Salary = [HRA]

DA: 12% of Basic Salary = [DA]

Incentive: 75% of target completion = [Incentive]

Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]

PF: 12% of Basic Salary = [PF]

Insurance: Rs. 2500 = [Insurance]

LOP: [LOP]

Total Deductions = PF + Insurance + LOP = [Total Deductions]

Net Pay = Total Earnings - Total Deductions = [Net Pay]

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A repeating decimal is acceptable to use during calculations when you require a certain level of precision

A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.

It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.

On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.

Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.

Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.

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3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.

Let's start by breaking down the information given:

- Three-fourths of the yard is covered with grass.

- One-fourth of the yard is used as a garden.

- The sprinkler could only water 1/5 of the yard.

To find out how much of the grass died, we need to determine the portion of the grass that was not watered by the sprinkler.

Let's assume the total area of the yard is represented by the value 1. Therefore, we can calculate the area of the grass as 3/4 of the total yard, which is (3/4) * 1 = 3/4.

The sprinkler can only water 1/5 of the yard, so the portion of the grass that was watered is (1/5) * (3/4) = 3/20.

To find the portion of the grass that died, we subtract the watered portion from the total grass area:

Portion of grass that died = (3/4) - (3/20) = 15/20 - 3/20 = 12/20.

Simplifying, we get:

Portion of grass that died = 3/5.

Therefore, 3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.

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Amount to be repaid for Bank A is $2,696.625 and Amount to be repaid for Bank B is $2,741.25. However, I will choose Bank B because it offers a lower interest rate.

The formula to calculate the simple interest is;

I = PRT

Where;

P is principal

R is rate

T is time

Now, we are given that;

Bank A;

Principal amount; P = $2550

Interest rate; R = 11.5% = 0.115

Time; t = 6 months = 0.5 years

Thus;

I = (2550 * 0.115 * 0.5)

I = $146.625

Amount to be repaid = 2550 + 146.625

Amount to be repaid = $2,696.625

Bank B;

Principal amount; P = $2550

Interest rate; R = 7.5% = 0.075

Time; t = 12 months = 1 year

Thus;

I = (2550 * 0.075 * 1)

I = $191.25

Amount to be repaid = 2550 + 191.25 = $2,741.25

Thus, bank B offers a more favorable interest rate and as such would be the preferred bank.

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Answer:

2.5, 21/8, ³√25, π, √19

Step-by-step explanation:

The following data were obtained from the question:

³√25, π, 21/8, 2.5, √19

Next, we shall express each data as a decimal number where necessary. This can be obtained as follow:

³√25 = 2.9

π = 3.14

21/8 = 2.6

2.5 = 2.5

√19 = 4.4

Finally, we shall order the expression from least to greatest. This is illustrated below:

2.5, 21/8, ³√25, π, √19

The volume of the bottle is 56.52 cubic inches, and the density is 22.12 g/in³.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 ).

Density is expressed mathematically as;

p = m / v

Where m is mass and v is volume.

Given that:

Diameter = 3 in

Radius r = diameter/2 = 3/2 = 1.5 in

Height h = 8 in

Mass m = 1250 g

Find the volume:

V = π × r² × h

V = 3.14 × (1.5 in )² × 8in

V = 56.52 in³

Find the density:

p = m / v

p = 1250g / 56.52 in³

p = 22.12 g/in³

Therefore, the density is 22.12 g/in³.

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The degree of a polynomial function with the leading term 7\(x^{5}\)  is 5.

A variable in an equation, such as a quadratic equation or cubic equation, is said to be polynomial if it only contains the positive integer exponents or non-negative integer powers. For instance, the polynomial 3x+5 has an exponent of 1.

What is degree?

The highest degree among the polynomial's monomials with non-zero coefficients is referred to as the polynomial's degree in mathematics.

The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the term of this polynomial is 5.

degree of the polynomial is the highest degree of any of the terms; in this case, it is 5.

Hence, polynomial function with leading term 7\(x^{5}\) has a degree of 5.

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Answer:

7 cm

Step-by-step explanation:

Answer:

c. SA = 596 ft²

Step-by-step explanation:

Area of the rectangular pyramid = Base area + area of the 2 equal lateral faces + area of the 2 lateral faces

Base area = length × width

Length = 16 ft

Width = 12 ft

Base area = 16 × 12 = 192 ft²

Area of the 2 lateral faces with the following dimension:

base = 12 ft

height = 15 ft

Area = 2(½bh) = 2(½*12*15) = 180 ft²

Area of the 2 lateral faces with the following dimensions:

base = 16 ft

height = 14 ft

Area = 2(½*14*16) = 224 ft²

✅Total surface area = 192 + 180 + 224 = 596 ft²

The length of the hypotenuse AB is given as follows:

AB = 29.

The trigonometric ratios for angle A are given as follows:

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

Applying the Pythagorean Theorem, the length of the hypotenuse is given as follows:

h² = 20² + 21²

\(h = \sqrt{20^2 + 21^2}\)

h = AB = 29.

Angle A is adjacent to the side of length 20 and opposite to the side of length 21, hence the ratios are given as follows:

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Answer: 0.71428 or 5:7 or 5/7

Step-by-step explanation: just divide on a calculator

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A

Answer:

true the question is true and wait for others my could be wrong also

Standard deviation does not mean independent events.

No, the standard deviation is a measure of the spread or variability of a set of data. It measures how much the individual data points in a dataset deviate from the mean or average of the dataset.

Independence, on the other hand, refers to the relationship between two or more events, where the occurrence of one event does not affect the probability of the other event occurring.

Standard deviation is not directly related to the concept of independence. However, when calculating the standard deviation of a dataset, it assumes that each data point is independent and identically distributed. This means that the value of one data point does not affect the value of another data point, and that each data point is drawn from the same underlying distribution.

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A: The linear equations are x + y = 125 and x = y + 45.

B: Everyday Angela spends 40 minutes in playing golf.

C: No, it is not possible for Angela to spend 80 minutes playing soccer every day.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

Part A:

Let x be the number of minutes Angela plays soccer every day

Let y be the number of minutes Angela plays golf every day

According to the problem statement the linear equations are -

x + y = 125 (total time playing both sports is 125 minutes)

x = y + 45 (Angela plays 45 more minutes of soccer than golf)

Part B:

Substitute x = y + 45 into the first equation -

(y + 45) + y = 125

Use the addition operation -

2y + 45 = 125

2y = 80

y = 40

Angela spends 40 minutes playing golf every day.

Part C:

If Angela spends 80 minutes playing soccer every day, then

x = 80

y + 45 = 80 (using the equation x = y + 45)

y = 35

But this would mean that she plays golf for 35 minutes and soccer for 80 minutes, which adds up to a total of 115 minutes.

This is not possible since the problem states that Angela plays both sports for a total of 125 minutes every day.

Therefore, it is not possible for Angela to have spent 80 minutes playing soccer every day.

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There are 2 pigeons jumped down to the street.

Total no. of pigeons on a curb=9

No. of pigeons fly away=3

No. of pigeons stayed in the curb=4

Thus, the total number of pigeon that jumped down to the street is 9 - 3 - 4 = 2

This exemplifies the pigeonhole principle, which asserts that if there are more pigeons than there are pigeonholes, then there must be at least one pigeonhole with at least two pigeons in it. II) We can state that at least one box contains two or more objects if n + 1 things are placed within n boxes.

Hence, there are 2 pigeons jumped down to the street.

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There are 2 pigeons jumped down to the street.

Total no. of pigeons on a curb=9

No. of pigeons fly away=3

No. of pigeons stayed in the curb=4

Thus, the total number of pigeon that jumped down to the street is 9 - 3 - 4 = 2

This exemplifies the pigeonhole principle, which asserts that if there are more pigeons than there are pigeonholes, then there must be at least one pigeonhole with at least two pigeons in it. II) We can state that at least one box contains two or more objects if n + 1 things are placed within n boxes.

Hence, there are 2 pigeons jumped down to the street.

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The correct interpretation of the confidence interval is We are 95 percent confident that the mean cost of a hospital visit for all parrot owners in the state is between $44.99 and $80.27 that is option A.

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific degree of confidence, this is the range of values you anticipate your estimate to fall inside if you repeat the test. In statistics, confidence is another word for probability.

Given,

Confidence interval, CI = 62.63 +/- 17.64

CI = ( 44.99 , 80.27 )

The percentage (frequency) of acceptable confidence intervals that include the actual value of the unknown parameter is represented by the confidence level. In other words, a limitless number of independent samples are used to calculate the confidence intervals at the specified degree of assurance. in order for the percentage of the range that includes the parameter's real value to be equal to the confidence level.

Most of the time, the confidence level is chosen before looking at the data. 95% confidence level is the standard degree of assurance. Nevertheless, additional confidence levels, such as the 90% and 99% confidence levels, are also applied.

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Complete question:

To investigate hospital costs for pets in a certain state, researchers selected a random sample of 46 owners of parrots who had recently taken their parrot to an animal hospital for care. The cost of the visit for each parrot owner was recorded and used to create the 95 percent confidence interval $62.63±$17.64.

Assuming all conditions for inference are met, which of the following is a correct interpretation of the interval?

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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The frame for the rectangular portrait will cost $180.00.

The rectangular portrait has a width of 1 yard and a height of 2 yards. To calculate the perimeter of the portrait, which represents the length of frame required, we can use the formula:

Perimeter = 2 * (Width + Height)

Substituting the values, we have:

Perimeter = 2 * (1 yard + 2 yards) = 2 * 3 yards = 6 yards

The cost of the frame is given as $30.00 per yard. To calculate the total cost of the frame, we multiply the length of the frame (in yards) by the cost per yard:

Frame Cost = Perimeter * Cost per yard = 6 yards * $30.00/yard = $180.00

Therefore, the frame for the rectangular portrait will cost $180.00.

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Answer:

62

Step-by-step explanation:

180-116 makes us find out that angle C is 64, thus to find out the inner angles you gotta do 64+ (2x+4)+(3x-13)=180

You follow this operation, find out x and perform 3(25)-13, which ends up giving you 62

Answer:

62°

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is not sharing a common side

2x + 4 + 3x - 13 = 116° add like terms

5x - 9 = 116°

5x = 125° divide both sides by 5

x = 25 and angle A is 3x - 13 so 3×25 - 13 = 62°

Answer:

X=0.8

Step-by-step explanation:

X/Y=3/15

=> X=(3/15)*Y

=> X=(3/15)*4=0.8