What is the domain of the function y=^3/x-1?

The value of ∣∣2 5/6 + y∣∣ is 55/12 or 4 7/12/ The Option D.

To evaluate the expression, substitute y = 7/4 into the given expression:

∣∣2 5/6 + (7/4)∣∣

Simplify expression inside the absolute value:

= 2 5/6 + 7/4

= (12/6 + 5/6) + (21/12)

= 17/6 + 21/12

To add the fractions, we need a common denominator:

17/6 + 21/12 = (2 * 17)/(2 * 6) + 21/12

= 34/12 + 21/12

= 55/12

Take absolute value of 55/12:

∣55/12∣ = 55/12

∣55/12∣ = 4 7/12.

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eeeh 9/20 as a percentage is 45%

and 17/25 is 68%

Answer:

432

Step-by-step explanation:

Answer:

432

Step-by-step explanation:

\(\frac{(14-3^{2}+1 )^{2} }{1/3.\frac{1}{4} }\)

Now, at first, we solve the numerator:

\((14-3^{2}+1 )^{2}\)

=\((14-9+1)^{2}\)

=\((15-9)^{2}\)

= \(6^{2}\)

= 36

Now let's solve the denominator:

1 ÷ 3 ×  \(\frac{1}{4}\)

=\(\frac{1}{3} . \frac{1}{4}\)

=\(\frac{1}{12}\)

Hence,

\(\frac{(14-3^{2}+1 )^{2} }{1/3.\frac{1}{4} }\)

=  \(\frac{36}{1/12}\)

= 36 x 12

= 432

Answer:

You will be able to spend your money for a total of 16 days.

Step-by-step explanation:

Total money won: $48

Since you are starting off with $48, divide the amount of money you will be using each day. 48 divided by 3 is equal to 16.

The assumptions in each case of this statistics problem is given as follows:

ts < tc Do not reject H0

P value > α Do not reject H0

There is insufficient data to determine that the mean scores of the two groups of pupils differ.

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The distance to the top of the building changing when they are 60 feet from the base of the building is 2.19 ft/s.

In the given question we have to find how fast is the distance to the top of the building changing when they are 60 feet from the base of the building.

A family is walking toward their home, which is in an apartment building 123 feet tall.

They are walking at a rate of 5 ft/sec.

So according to the given statement diagram is

In the diagram x represent base and s represent the distance.

Using the Pythagorean theorem to find the value of s.

So the equation should be

\(s^2=x^2+(123)^2\)........................(1)

From the question, x=60 feet

Now putting the value

\(s^2=(60)^2+(123)^2\)

\(s^2\) = 3600+15129

\(s^2\) = 18729

s = 136.85

Differentiate equation 1 with respect to t using the power rule then solve the expression for ds/dt

2s ds/dt=2x dx/dt+0

2s ds/dt= 2x dx/dt

Divide by 2s on both side, we get

ds/dt= x/s dx/dt.......................(2)

They are walking at a rate of 5 ft/sec.

So dx/dt=5

Putting the value in the equation 2

ds/dt=60/136.85 ×5

ds/dt=0.438×5

ds/dt=2.19 ft/s

The distance to the top of the building changing when they are 60 feet from the base of the building is 2.19 ft/s.

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The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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Answer:

p= 24

a=50

Step-by-step explanation:

p= rectangle l+b+l+b or square l+l+l+l

a= rectangle lxb or square lxl

Answer:

The amount of deposit required is R37,999  for both

The percentage of purchase price for the required deposit is 20%

Therefore, deposit required=20%*R189,995

                                              =R37,999

The balance owed is the outstanding balance after payment of deposit plus the interest, bearing in mind that interest is computed using the simple interest approach

I=PRT

balance after payment of deposit=R189,995-R37,999

                                                       =R151,996

R=13.5% per year

T=48 months and 54 months

Interest on 48 month option=151,996*13.5%*48/12

                                              = R82,077.84

Interest on 54 month option=151,996*13.5%*54/12

                                              = R 92,337.57

The total payment without the initial deposit is the outstanding balance after payment of deposit plus the interest

Total payment for 48 month option=R151,996+R 92,337.57

                                                          =R  244,333.57

Total payment for 54 month option=R151,996+R82,077.84

                                                          =R 234,073.84

                                              Hope it helped!

Answer:

Step-by-step explanation:

You want the dimensions of a rectangle if adding 2 m to its width makes it a square with an area of 36 m².

The area of a square is the square of its side length, so the side length of the square is ...

  A = s²

  s = √A = √(36 m²) = 6 m

The problem statement tells you this dimension is 2 m more than the width of the rectangle. Hence that width is ...

  6 m - 2m = 4 m

The rectangle is 4 m wide and 6 m long.

Check

The length is 2 m less than twice the width: (2)(4 m) -2 m = 6 m, the value we show above.

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Answer:

35% of 150=52.5

20% of 50=10

10% of 20=2

45% of 200=90

The integral of (x² - 1)3/2 ½2 (x²) dx is equal to ½2 (x² - 1)5/2 + C, where C is an arbitrary constant.

To solve this integral, we can use the following steps:

First, we can use the product rule to expand the integral. This gives us the following:

∫ (x² - 1)3/2 ½2 (x²) dx = ∫ (x² - 1)3/2 dx + ∫ ½2 (x²) dx

Next, we can use the power rule to integrate each term. The power rule states that the integral of xⁿ dx is equal to xⁿ+1 / (n+1) + C, where C is an arbitrary constant. This gives us the following:

∫ (x² - 1)3/2 dx = (x² - 1)5/2 / (5/2) + C₁

∫ ½2 (x²) dx = x⁴ / 4 + C₂

Finally, we can combine the two terms and add the arbitrary constants together. This gives us the following:

∫ (x² - 1)3/2 ½2 (x²) dx = ½2 (x² - 1)5/2 + C

where C = C₁ + C₂.

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The number "three hundred and sixty-seven thousand seven hundred and fifty-two" can be written in numerical form as 367,752.

To understand how to convert this written form into a number, let's break it down step by step:

1. Starting from the left, we have "three hundred" which is represented by the digit 3 followed by two zeros, resulting in 300.

2. Moving on, we have "sixty-seven thousand." Here, "sixty" corresponds to the number 60, and "thousand" implies three zeros. Therefore, "sixty-seven thousand" becomes 67,000.

3. Finally, we have "seven hundred and fifty-two." "Seven hundred" is written as 700, and "fifty-two" can be represented by 52. Combining these two numbers, we get 752.

Now, we can put it all together. Combining 300 (from "three hundred"), 67,000 (from "sixty-seven thousand"), and 752 (from "seven hundred and fifty-two"), we obtain the final number: 367,752.

To summarize:
- "Three hundred" becomes 300
- "Sixty-seven thousand" becomes 67,000
- "Seven hundred and fifty-two" becomes 752

So, the written form "three hundred and sixty-seven thousand seven hundred and fifty-two" corresponds to the numerical value 367,752.

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Answer:

x = 10

Step-by-step explanation:

2x - 7 = x + 3

=> 2x - 7 = x + 3

=> x = 10

Therefore, x = 10.

Hoped this helped.

Answer: x=350

Step-by-step explanation:

9514 1404 393

Answer:

  no

Step-by-step explanation:

If it were proportional, ratios of corresponding numbers would be the same.

  36/18 ≠ 30/12 ≠ 24/6

The relation is not proportional.

Answer: 53 feet?

Step-by-step explanation:

The critical value for the test of the population mean with a known population standard deviation at the 5% level of significance is 1.96 because it corresponds to a two-tailed test with a 5% significance level.

To test the hypotheses H0: μ = 9.2 against H1: μ ≠ 9.2, we need to perform a hypothesis test for the population mean. Since the population standard deviation is known, we can use a z-test.

At the 5% level of significance, the critical value corresponds to the z-score that leaves a 2.5% probability in each tail of the distribution. This is because we have a two-tailed test (H1: μ ≠ 9.2).

Looking up the critical value in the standard normal distribution table or using statistical software, we find that the critical value for a two-tailed test at the 5% level of significance is approximately 1.96.

Therefore, if the test statistic falls outside the range of -1.96 to 1.96, we reject the null hypothesis and conclude that there is evidence to suggest that the population mean is different from 9.2.

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Th length of pregnancies of humans has a mean of 265 days and a standard deviation of 10 days percentage of pregnancies between 237.5 and 292.5 days is 99.4%.

The properties of a normal distribution.

(a) To find the value for k for the length of pregnancies in the interval between 250 and 280 days, to calculate the z-scores for both values and then find the percentage of the area under the curve between those z-scores.

The z-score formula is given by:

z = (x - μ) / σ

Where:

x is the given value,

μ is the mean, and

σ is the standard deviation.

For 250 days:

z1 = (250 - 265) / 10

= -1.5

For 280 days:

z2 = (280 - 265) / 10

= 1.5

To find the percentage of pregnancies between these z-scores. Use a standard normal distribution table or a calculator to find the corresponding probabilities.

Looking up the z-scores in the table or using a calculator, the area to the left of z = -1.5 is approximately 0.0668, and the area to the left of z = 1.5 is approximately 0.9332.

To find the area between z1 and z2, we subtract the area to the left of z1 from the area to the left of z2:

P(250 ≤ x ≤ 280) = P(z1 ≤ z ≤ z2) = 0.9332 - 0.0668 = 0.8664

So, the percentage of pregnancies between 250 and 280 days is 86.6%.

(b) Similarly, to find the percentage of pregnancies between 237.5 and 292.5 days,  to calculate the z-scores for those values.

For 237.5 days:

z1 = (237.5 - 265) / 10

= -2.75

For 292.5 days:

z2 = (292.5 - 265) / 10

= 2.75

Using the standard normal distribution table or a calculator,  the area to the left of z = -2.75 is approximately 0.0028, and the area to the left of z = 2.75 is approximately 0.9972.

To find the area between z1 and z2:

P(237.5 ≤ x ≤ 292.5) = P(z1 ≤ z ≤ z2) = 0.9972 - 0.0028 = 0.9944

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5

Step-by-step explanation:

your answer is 5 the greatest common factor is 5

10= 5

25=5

15= 5

A) The stated the null and alternative hypotheses are defined as

H₀ : μItalian = μSeafood = μsteakhouse

Hₐ : Not all the population means are equal. So, correct answer is option (a).

B) The value of the test statistic is equals to the 6.70. The p-value is equals to the 0.0056.

C) Conclusion : The null hypothesis H0 is rejected, so there is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.

We have a consumer reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains. The above table data show the meal prices ($) obtained for the 24 restaurants sampled ( 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses). So, sample size , n = 24

Significance level = 0.05

A) For Hypothesis testing, the null and alternative hypothesis are defined as

H₀ : μItalian = μSeafood = μsteakhouse

Hₐ : Not all the population means are equal. So, correct answer is option (a).

B) We have more than two groups for analysis so we use ANOVA test to compare the means among three or more groups. Using the Excel the above second table is made which represents the mean, standard deviations and standard error for data. It also contains ANOVA table. So,

Mean value of Italian = 17

Mean value of Seafood = 19

Mean value of steakhouse = 24

Uding all the above details or Excel command, The value of the F test- statistic value = 6.70

Using the distribution table, the p-value for test-static value 6.70 is 0.0056.

C)Now, we see P-value = 0.0056 < 0.05, which implies the null hypothesis is rejected. Thus, There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.

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Complete question:

You may need to use the appropriate technology to answer this question. The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains. † One of the variables in the study is meal price, the average amount paid per person for dinner and drinks, minus the tip. Suppose a reporter for a local newspaper thought that it would be of interest to her readers to conduct a similar study for restaurants located in her city. The reporter selected a sample of 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses. The following data show the meal prices ($) obtained for the 24 restaurants sampled.

Italian Seafood Steakhouse

$12 $17 $23

13 18 18

16 18 24

16 27 25

18 23 21

19 15 23

18 20 28

24 14 30

Use α = 0. 05 to test whether there is a significant difference among the mean meal price for the three types of restaurants. State the null and alternative hypotheses.

a) H0: μItalian = μSeafood = μSteakhouse

Ha: Not all the population means are equal.

b)H0: μItalian ≠ μSeafood ≠ μSteakhouse

Ha: μItalian = μSeafood = μSteakhouse

c) H0: At least two of the population means are equal.

Ha: At least two of the population means are different.

d)H0: Not all the population means are equal.

Ha: μItalian = μSeafood = μSteakhouse

e) H0: μItalian = μSeafood = μSteakhouse

Ha: μItalian ≠ μSeafood ≠ μSteakhouse

B) Find the value of the test statistic. (Round your answer to two decimal places. )

test statistic=___

Find the p-value. (Round your answer to four decimal places. )p-value =____

V)What is your conclusion?

a)Do not reject H0. There is not sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.

b)Reject H0. There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.

c)Do not reject H0. There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.

d)Reject H0. There is not sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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The value of the function at x = 4 is 8.79.

Tangent line approximation is the approximation of any function using a linear function. It is also called as linear approximation.

It allows us to approximate the value of a general function with a more simpler linear function.

Given that,

f(1) = 2

f'(x) = \(\sqrt{x^{2} +2cos x + 3}\)

We have the formula for linear approximation as,

f(x) = f(a) + f'(a) (x - a)

Here x = 4 and a = 1

f(a) = f(1) = 2

f'(a) = f'(1) = \(\sqrt{1^{2} +2cos 1 + 3}\) = 2.254

Substituting,

f(4) = 2 + (2.254) (4 - 1)

     = 8.762 ≈ 8.79

Hence the value of f(4) is 8.79.

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Answer:

1 1/8

Step-by-step explanation:

2/8 + 7/8

Since the denominators are the same, we add the numerators

9/8

This is an improper fraction, so we can rewrite this

8/8+ 1/8

1 1/8

Answer: $225

Step-by-step explanation:

Let the value of the bond at the purchase price be x.

Based on the information in the question, the equation to solve the question will be:

x + (8% × x) = $243

x + (8/100 × x) = $243

x + 0.08x = $243

1.08x = $243

x = $243/1.08

x = $225

Taylor's mom purchased the bond at $225

First to answer

Answer:

16/24

of the chocolate cake was eaten

13/16

of the red velvet cake was eaten

and

5/12

of the white cake was eaten.

Step by step explanation:

I subtracted the whole amount of cake by what was left.

Answer:

fraction form: 8/5

decimal form: 1.6

mixed number form:  1 3/5

Step-by-step explanation:

have a fantastic day! <3

Answer:

1.60

Step-by-step explanation:

4-2-2/5

2/5=0.4

4-2=2-0.4=1.6

Answer:

1.4 people out of 10

Step-by-step explanation:

Just divide it by 10

Answer:

only 4 people

Answer is (a) The solution set is {x | (-∞,-7)∪(5,12)}.

Given equation,

\(\frac{(x-5)(x+7)}{x-12} < 0\)

For values (-∞,-7)

equation stands true

For values (-7,5)

equation stands false

For values (5,12)

equation stands true

For values (12,∞)

equation stands false

Hence, x ∈ (-∞,-7)∪(5,12).

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Answer:

so graph your first point. (x=2, y=1)

Step-by-step explanation:

Your 5/3 is your rise over run. So go up 5 from 2 you should be at 7 and over 3 from your 1  so your next point would be (x=7, y=4) now get a ruler and connect your two points. make sure to use a ruler to make your line straight.  

To graph a line with a slope of 5/3 and passes through the point (2, 1), we can use the slope-intercept form of a linear equation, which is given by:

y = mx + b

where:

- y and x are the coordinates of any point on the line

- m is the slope of the line

- b is the y-intercept (the point where the line crosses the y-axis)

Given the slope (m = 5/3) and the point (2, 1), we can substitute these values into the equation and solve for the y-intercept (b):

1 = (5/3)(2) + b

1 = 10/3 + b

To isolate b, we subtract 10/3 from both sides:

1 - 10/3 = b

-7/3 = b

Now we have the values of m and b, so we can write the equation of the line:

y = (5/3)x - 7/3

To graph the line, we plot the y-intercept at (0, -7/3), and then use the slope (5/3) to find additional points on the line.

Since the slope is positive, we can move up 5 units vertically and 3 units horizontally from the y-intercept to find another point. We repeat this process to find more points if needed.

Thus, using this, one can plot the graph.

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Given statement is False and the True statement is 'In a frequency​ distribution, the class width is the distance between the lower or upper limits of consecutive classes.'

The correct answer is an option (B)

In this question, we have been given a statement 'In a frequency​ distribution, the class width is the distance between the lower and upper limits of a class.'

We need to determine whether the given statement is True or False.

We know that, the class width is the distance between the lower limits of consecutive classes.

So, the given statement is False.

The correct statement is 'In a frequency​ distribution, the class width is the distance between the lower or upper limits of consecutive classes. '

Therefore, given statement is False and the True statement is 'In a frequency​ distribution, the class width is the distance between the lower or upper limits of consecutive classes.'

The correct answer is an option (B)

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