Make x the subject of the formula х/a +b =c ​

Statement II is false and statement III is true.

Thus, the correct answer is (B) I and III.

Since the utility function is U = X + 8Y, the partial derivative of U with respect to Y gives the marginal utility of good Y:

MUy = ∂U/∂Y = 8

Therefore, statement I is true.

The marginal rate of substitution (MRS) is the rate at which the consumer is willing to trade off good X for good Y, while maintaining the same level of utility. It is given by the ratio of the marginal utilities:

MRS(X,Y) = MUx/MUy

Substituting the given values gives:

MRS(X,Y) = 1/8

Multiplying both sides by 8 gives:

MRS(X,Y) = 1

Therefore, statement II is false and statement III is true.

Thus, the correct answer is (B) I and III.

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As a percentage, a card at random 5, 6, 7, 8 9, 7.5, 6.42, 5.62.

Since a percentage is a number that tells us how much out of 100 we are talking about, it can also be written as a decimal or a fraction - three for the price of one.

Therefore,

45/5 = 9

45/6 = 7.5

45/7 = 6.42

45/8 = 5.62

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By applying the polar equation of a rose curve, we can conclude that the rose curve will have 3 petals whose each length is 10 units. The endpoints of each petal occur when θ = 0, π/3, 2π/3. The corresponding values of the endpoint of each petal (r,θ) are (-10,0), (10,π/3), (-10,2π/3).

The polar equation of a rose curve is either:

r = a cos (nθ) or r = a sin (nθ)

where

a = constant that determines the size

n = half of the number of petals (n is even) or number of petals (n is odd)

We take a look at the given function: r = 10 sin 3θ

By applying the rule above, we can conclude that the rose curve will have 3 petals whose each length is 10 units.

Now we want to know the starting point of the petals, we assume the r = 0.

r = 10 sin 3θ

0 = 10 sin 3θ

0 = sin 3θ

3θ = 0 + nπ

θ = nπ/3   n = number of petal + 1 = 0, 1, 2, 3

On the interval [0,π), we list the value of θ:

n       θ

0       0

1        π/3

2       2π/3  

3        π (= 0)

Thus, the endpoints of each petal occur when θ = 0, π/3, 2π/3

Using the values of θ from the previous step, we can write down the corresponding values of the endpoint of each petal (r,θ) are (-10,0), (10,π/3), (-10,2π/3)

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The correct option for the midpoint of the line segment , where (-1,-2) and (4,-2), is  (1.5,-2).

To find the midpoint of a line segment, we use the midpoint formula, which states that the coordinates of the midpoint (M) are the average of the coordinates of the endpoints.

The midpoint formula is given by:

M = ((x1 + x2) / 2, (y1 + y2) / 2)

Let's apply this formula to find the midpoint of the line segment AB:

x1 = -1, y1 = -2 (coordinates of point A)

x2 = 4, y2 = -2 (coordinates of point B)

Using the midpoint formula:

M = ((-1 + 4) / 2, (-2 + (-2)) / 2)

 = (3 / 2, -4 / 2)

 = (1.5, -2)

Therefore, the midpoint of the line segment , with endpoints (-1,-2) and (4,-2), is (1.5, -2).

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A. The expression to find the average elevation change of the whale during its descent, in feet per second is Average elevation change = (Total elevation change)/(Time taken).

B. The elevation change, in feet, of the whale after 6 seconds is 51 feet.

Part A: The expression to find the average elevation change of the whale during its descent, in feet per second, is:

Average elevation change = (Total elevation change)/(Time taken)

In this case, the total elevation change is 382.5 feet and the time taken is 45 seconds. So the expression becomes:

Average elevation change = 382.5/45

Simplifying this, we get:

Average elevation change = 8.5 feet per second

Part B: Since the whale's elevation changes at a constant rate, we can use the formula:

Elevation change = Rate × Time

Here, the rate is the average elevation change we calculated in Part A, which is 8.5 feet per second. The time given is 6 seconds. So, the elevation change of the whale after 6 seconds is:

Elevation change = 8.5 × 6

Simplifying this, we get:

Elevation change = 51 feet

Therefore, the elevation change of the whale is 51 feet after 6 seconds.

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Answer:

1. 65 coins

2. 79 - (23 + 22 + 20) = n

Step-by-step explanation:

You can use the expression 23 + 22 + 20 to get the amount of coins that are not nickles. And for two? Try it yourself.

Hope this helps. Have a nice day.

Given:

Price change of four companies \(\dfrac{5}{8},-0.25,-\dfrac{1}{8}\text{ and }1.5\).

To find:

Smallest price change of the four companies.

Solution:

We have price change of four companies as \(\dfrac{5}{8},-0.25,-\dfrac{1}{8}\text{ and }1.5\).

Here negative sign represents the decrease in stock market price.

Price change can either positive or negative. So, we need to find the absolute value of each price change.

\(\left|\dfrac{5}{8}\right|=0.625\)

\(|-0.25|=0.25\)

\(\left|-\dfrac{1}{8}\right|=0.125\)

\(|1.5|=1.5\)

Arrange these values in increasing order.

\(0.125<0.25<0.625<1.5\)

Now,

Price changes in ascending order is

\(-\dfrac{1}{8},-0.25,\dfrac{5}{8},\text{ and }1.5\)

Hence, -1/8 the smallest price change of the four companies.

Answer:

Y is not directly proportional to x because the line does not pass through the Origin.

Answer:The first graders began to count, naming each integer up to 100.

Step-by-step explanation:

Answer:

one of the positive or negative numbers 1, 2, 3, etc., or zero.Compare whole number.

Step-by-step explanation:

Given that an observer at Point C, looks at the top of the mountain at an angle of 350 and the height of the mountain is 65 meters.  

We need to find the distance from the observer to the top of the mountain to the nearest tenth of a meter. To find the distance from the observer to the top of the mountain, we need to use the tangent function which is defined as: tan θ = Opposite Side / Adjacent Side In the given problem, we are given the angle of elevation and the height of the mountain. Hence, we can write: tan 35° = Opposite Side / Adjacent Side65 m = Opposite Side Now, we can calculate the adjacent side. Adjacent Side = Opposite Side / tan θAdjacent Side = 65 m / tan 35°Adjacent Side ≈ 92.8 m. Therefore, the distance from the observer to the top of the mountain to the nearest tenth of a meter is 92.8 meters. Hence, the option (c) is correct.  

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The allowance time, if the standard time is 234.15 minutes and the basic time is 233.4 minutes is 0.75 minute

To calculate the allowance time, we can use the following formula:

Allowance time = Standard time - Basic time

Thus, Allowance time = 234.15 minutes - 233.4 minute = 0.75 minutes

Therefore, the allowance time is 0.75 minutes.

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Answer:1

Step-by-step explanation: solving for d

Hi!

To solve this, first we should group like terms together.

1d - 2d - 10 + 7 = 8 - 10 + 1d - 3d

Simplify

-1d - 10 + 7 = 8 - 10 - 2d

-1d - 3 = -2 - 2d

Add 3 to both sides.

-1d - 3 + 3 = -2 + 3 - 2d

-1d = 1 - 2d

Add 2d to both sides.

-1d + 2d = 1 - 2d + 2d

1d = 1

Divide by 1 on both sides.

1d/1 = 1/1

d = 1

The answer is d = 1

Hope this helps!

Answer: > if the other number is 20

Step-by-step explanation:

In multiple regression analysis, the correlation among the independent variables is termed as d. multicollinearity.

Basically, multiple regression analysis means a statistical technique that can be used to analyze the relationship between a single dependent variable and several independent variables.

If the independent variables of the regression analysis is correlated, the it is called as multicollinearity.

Therefore, the option (d). multicollinearity is the answer

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We can draw a valid conclusion from the given statements. By applying the Law of Syllogism, we can derive the following conclusion:

Conclusion: If you are competitive, then you are athletic.

The first statement establishes a conditional relationship between being athletic and enjoying sports. The second statement introduces another conditional relationship between being competitive and enjoying sports. By using the Law of Syllogism, we can combine these two relationships to form a new conditional relationship between being competitive and being athletic.

The Law of Syllogism states that if we have two conditional statements where the conclusion of the first statement matches the hypothesis of the second statement, we can derive a new conditional statement. In this case, the conclusion "If you are athletic" from the first statement matches the hypothesis "then you enjoy sports" from the second statement. Therefore, we can combine these statements to form the conclusion "If you are competitive, then you are athletic."

So, the valid conclusion drawn is "If you are competitive, then you are athletic," and it was derived using the Law of Syllogism.

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The scatterplot for the given datapoints are attached .

A scatter plot uses dots to speak to values for two different numeric factors. The position of each dot on the level and vertical axis shows values for an individual information point. Scatter plots are utilized to watch connections between variables, Scatter plots’ essential uses are to observe and show connections between two numeric variables. The dots in a scatter plot do not as it were report the values of personal information points, but moreover designs when the information is taken as a whole.

Hours Studying      Overall Class Performance

0.62                              2.02

1.50                               4.62

0.34                             2.60

0.97                              1.59

3.54                               4.67

0.69                            2.52

1.53                                2.28

0.32                               1.68

1.94                                2.50

1.25                                4.04

1.42                               2.63

3.07                               3.53

3.99                              3.90

1.73                                 2.75

1.29                                2.95

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It appears that a Type II error was made in the hypothesis test conducted by the user.

A Type II error, also known as a "false negative," is a statistical error that occurs when a null hypothesis is actually true, but a hypothesis test fails to reject the null hypothesis, leading to the incorrect conclusion that there is no significant effect or difference when, in fact, there is.

According to the given information:

Based on the given information, it appears that a Type II error was made in the hypothesis test conducted by the user.

In this case, the user claimed that the mean number of shades the toothpaste whitens teeth is less than four, and conducted a hypothesis test to test this claim. However, the given information states that the true mean number of shades the toothpaste whitens teeth is actually four. If the user failed to reject the null hypothesis, it means that they did not find enough evidence to support their claim that the mean number of shades is less than four, even though it is actually true.

This would be a Type II error because the null hypothesis (which assumes that the mean number of shades is four) is actually true, but the test failed to detect this and erroneously failed to reject the null hypothesis. In other words, the user made an error in concluding that there is no significant effect or difference, when in fact there is.

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Answer:

there's no question my friend

24. y-intercept at (0, -4.5)

25. z-intercept at (0,0,9.5)

26. x-intercept at (-8.2, 0)

27. y-intercept at (0,112)

An intercept in mathematics is a point on the y-axis through which the line's slope passes. It is also, a point on the y-axis where a straight line or a curve crosses. This is reflected in the equation for a line, which is written as y = mx+c, where m denotes the slope and c denotes the y-intercept.

The two main intercepts are the x-intercept and y-intercept. The x-intercept of a line is where it crosses the x-axis, while the y-intercept is where it crosses the y-axis. The x-intercept is the point where y=0 and the y-intercept is where x=0

Part 24.

y = -4.5

The point has a y-intercept at (0, -4.5)

Part 25.

z = 9.5

The point has a z-intercept at (0,0,9.5)

Part 26.

x = -8.2

The point has an x-intercept at (-8.2, 0)

Part 27.

y = 112

The point has a y-intercept at (0,112)

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Answer:

X = 4

X = -2

Step-by-step explanation:

Rate And Like. Salute.

The acceleration of the crane hook between 3 and 6 seconds is the slope of the graph representing the velocity between 3 and 6 seconds.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which;

The velocity function is given as follows:

v = v(0) + at.

In which:

Over a time of 3 and 6 seconds, the velocities on the bounds are given as follows:

v(3) and v(6).

The acceleration is the slope, hence it is represented by the change in the output divided by the change in the input, as follows:

a = [v(6) - v(3)]/(6 - 3)

a = [v(6) - v(3)]/3.

The problem is incomplete, hence the general procedure to obtain the acceleration is presented.

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The claim made by the local newspaper is not plausible based on the given confidence interval.

We have,

The 95% confidence interval (128 minutes, 147 minutes) means that we are 95% confident that the true mean waiting time at the ER falls between 128 and 147 minutes.

This interval is based on the data collected and the statistical analysis performed.

If the claim made by the local newspaper is that the average waiting time at the ER exceeds 3 hours, we need to convert 3 hours to minutes, which equals 180 minutes.

Since the upper bound of the confidence interval is 147 minutes, which is less than 180 minutes, it means that the interval does not include values greater than 147 minutes.

Therefore, the claim that the average waiting time exceeds 3 hours (180 minutes) is not supported by the confidence interval.

In other words, the data and analysis suggest that there is strong evidence to indicate that the average waiting time at the ER is less than or equal to 147 minutes, which is less than the claimed threshold of 180 minutes.

Thus,

The claim made by the local newspaper is not plausible based on the given confidence interval.

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Answer:

if i remember correctly the answer is b

Step-by-step explanation:

The circumference of the circle subtended by 210° will be 210 times (1/360)th times circumference.

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

In our daily life, we always see circular objects for example our bike wheel.

The perimeter of the circle = 2πr where r is the radius of the circle.

The circumference bound by 210° angle will be as,

(210/360)2πr = 210 (1/360)2πr

⇒ 210 times (1/360)th of circumference.

Hence "The circumference of the circle subtended by 210° will be 210 times (1/360)th times circumference".

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The scenario described above illustrates the Service Recovery Paradox, where a customer's satisfaction can actually increase after experiencing a service failure and receiving effective recovery efforts.

Dr. Amarkant Tripathi faced a delay and inconvenience with his suit order from B N Rao suits, but the store manager went above and beyond to rectify the situation, ultimately leading to Dr. Tripathi's increased satisfaction and loyalty.

The Service Recovery Paradox occurs when a customer's satisfaction and loyalty increase even after encountering a service failure. In the given context, Dr. Tripathi experienced a delay and fitting issue with his suit order. However, the store manager took prompt action to resolve the problem and ensure Dr. Tripathi's satisfaction.
Despite initial setbacks, the store manager exhibited proactive service recovery efforts. He communicated with Dr. Tripathi, apologized sincerely, and made efforts to rectify the situation promptly. The manager's willingness to listen, understand, and address the customer's concerns played a crucial role.
Furthermore, the store manager's personal involvement, contacting Dr. Tripathi's home, explaining the situation to his daughter, and arranging for the suit to be taken to the Domlur branch for repairs and express delivery showcased a high level of customer service and dedication to resolving the issue.
These service recovery efforts exceeded Dr. Tripathi's expectations and demonstrated B N Rao suits' commitment to customer satisfaction. As a result, when Dr. Tripathi received the suit, along with the apology note and additional handkerchiefs, he felt not only satisfied with the resolution but also impressed by the store's efforts to understand his needs and deliver a superior service experience.
The Service Recovery Paradox, in this case, highlights the importance of effective service recovery in building customer loyalty and turning a potentially negative experience into a positive one. B N Rao suits' commitment to resolving the issue and going the extra mile to deliver a satisfactory outcome ultimately strengthened the customer's trust and loyalty in the brand.

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Answer:

DE=BA

EF=BC

FD=CA

Step-by-step explanation:

brainliest appreciated

hope this helps

Answer: John walks a total of 360 yards from school.

Step-by-step explanation:

Let's represent the total distance John walks from school as "x".

According to the problem, John has already walked 15% of the way, which can be written as:

0.15x

We also know that he has walked 54 yards so far, which means:

0.15x = 54

To find the total distance John walks from school, we can solve for "x" by dividing both sides of the equation by 0.15:

x = 54 ÷ 0.15

x = 360

Therefore, John walks a total of 360 yards from school.

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Answer:

x = 3/2; x = -1/2

Step-by-step explanation:

6x² - x - 2 = 0

⇔ 6x² - 4x + 3x - 2 = 0

⇔ (6x² - 4x) + (3x - 2) = 0

⇔ 2x(3x - 2) + (3x - 2) = 0

⇔ (3x - 2)(2x + 1) = 0

⇔\(\left \{ {{3x - 2=0} \atop {2x + 1=0}} \right.\)

⇔\(\left \{ {{3x=2} \atop {2x=-1}} \right.\)

⇔\(\left \{ {{x=2/3} \atop {x=-1/2}} \right.\)