Find the arc length function for the curvey = 2x3/2with starting point P0(9, 54).s(x) =

Answer:

Let's solve your equation step-by-step.

x

15

=

3

5

Answer:

x=9

Step-by-step explanation:

The answer to the multiple-choice question is 19%. The coefficient of multiple determination, also known as R-squared, measures the proportion of variation in the dependent variable that can be explained by the independent variables in a regression model.

In this case, if the R-squared is 0.81, it means that 81% of the variation in the dependent variable is explained by the independent variables.

To find out what percent of variation is not explained, we subtract the R-squared from 1 (or 100% in percentage terms). This is because the total variation in the dependent variable is either explained by the independent variables (R-squared) or unexplained (1 - R-squared).

So, the percent of variation that is not explained is:

1 - 0.81 = 0.19 or 19%

Therefore, the answer to the multiple-choice question is 19%.

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Answer:

Step-by-step explanation:

Answer:

2.7×10−6

Step-by-step explanation:

I did this on a calculator I have no idea what the step by step is

Answer:

Short and simple: 625

To investigate significant differences between the brands of yellow interior latex paint using Tukey's procedure, we need to calculate the difference between each pair of means and compare them to the critical value obtained from the studentized range distribution. If the difference is greater than the critical value, it indicates a significant difference between the corresponding brands.

First, let's calculate the critical value using the significance level α = 0.05 and the degrees of freedom for the denominator (within-group) error, which is the total sample size (n) minus the number of groups (k). In this case, n = 4 (gallons) × 5 (brands) = 20 and k = 5.

Degrees of freedom for the denominator error:

df_denom = n - k = 20 - 5 = 15

Using a critical value table or statistical software, the critical value for α = 0.05 and df_denom = 15 is approximately 3.055.

Next, we calculate the absolute difference between each pair of means and compare it to the critical value:

1. |462.0 - 512.8| = 50.8 > 3.055 (significant difference)

2. |462.0 - 437.5| = 24.5 < 3.055 (no significant difference)

3. |462.0 - 469.3| = 7.3 < 3.055 (no significant difference)

4. |462.0 - 532.1| = 70.1 > 3.055 (significant difference)

5. |512.8 - 437.5| = 75.3 > 3.055 (significant difference)

6. |512.8 - 469.3| = 43.5 > 3.055 (significant difference)

7. |512.8 - 532.1| = 19.3 < 3.055 (no significant difference)

8. |437.5 - 469.3| = 31.8 > 3.055 (significant difference)

9. |437.5 - 532.1| = 94.6 > 3.055 (significant difference)

10. |469.3 - 532.1| = 62.8 > 3.055 (significant difference)

Based on the comparisons above, the pairs of means that differ significantly from one another are:

- Brand 1 (x) and Brand 2 (x): |462.0 - 512.8| = 50.8

- Brand 1 (x) and Brand 5 (x): |462.0 - 532.1| = 70.1

- Brand 2 (x) and Brand 5 (x): |512.8 - 532.1| = 19.3

- Brand 3 (x) and Brand 5 (x): |437.5 - 532.1| = 94.6

- Brand 3 (x) and Brand 4 (x): |437.5 - 469.3| = 31.8

- Brand 4 (x) and Brand 5 (x): |469.3 - 532.1| = 62.8

Therefore, the brands that differ significantly from one another are: Brand 1 (x) and Brand 2 (x), Brand 1 (x) and Brand 5 (x), Brand 2 (x) and Brand 5 (x), Brand 3 (x) and Brand 5 (x), Brand 3 (x) and Brand 4 (x), Brand 4 (x) and Brand 5(x).

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Answer:

3(75) + 50C

Step-by-step explanation:

Suppose a school needs to make T-shirts for its 75 members and the ordered printing company charges $3er shirt. This implies that the total amount that will be paid for the shirt without being a colored printing will be :

3(75) ----- Let that be  equation (1)

If a school choir needs to make T Shirts for its 75 members and the printing company charges $3 per shirt, the total amount paid for shirts without coloured printing will be $3 * 75 = 3(75) ... 1

However, if the ordered printing company charges a $50 fee for each color to be printed on the shirts, therefore, the total number of colors on the shirt will cost $50C  --- Let that be equation (2)

here, C represents the total amount of colors in the number of T-shirts

Therefore, the equation showing the relationship between the number of T-shirts ordered and the number of colors can be expressed as the summation of the above two equations:

=  3(75) + 50C

Answer:

9.7

Step-by-step explanation:

sqrt(12^2-7^2) = sqrt(95) or 9.7

The code calculates the total cost for electricity consumption based on the given conditions and adds the basic service fee of $5. It then rounds the total cost to two decimal places and displays the output.

# defining function to calculate total cost

def total_cost(units):

   if units <= 500:

       return units * 0.02

   elif units <= 1000:

       return (500 * 0.02) + ((units - 500) * 0.05)

   else:

       return (500 * 0.02) + (500 * 0.05) + ((units - 1000) * 0.10)

# Driver Code

consumptions = [200, 500, 700, 1000, 1500]

for i in consumptions:

   total = total_cost(i)

   print("Total cost of Electricity for", i, "units is", round(total + 5, 2))

Output:

Total cost of Electricity for 200 units is 9.0

Total cost of Electricity for 500 units is 15.0

Total cost of Electricity for 700 units is 25.0

Total cost of Electricity for 1000 units is 40.0

Total cost of Electricity for 1500 units is 90.0

The code calculates the total cost for electricity consumption based on the given conditions and adds the basic service fee of $5. It then rounds the total cost to two decimal places and displays the output.

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Answer:

You need 3-4 tests with at least 10pts with a 90-100%

Step-by-step explanation:

I have an A

Answer:

it depends on how much your quizzes and tests are worth but it looks very close to an A so I'd say maybe 1 quiz

Given:

9 > d, if d = 3

To check if this statement is true, substitute d for 3.

We have:

9 > 3

Since 9 is greater than 3, this inequality statement can be said to be true.

ANSWER:

True

Answer:

67....................

\(Answer:\ -55.102^0F\leq t^0\leq 595.958^0F\)

Step-by-step explanation:

\(\displaystyle\\C^0=\frac{5}{9} (F^0-32^0)\\\)

Let's multiply both parts of the equation by 9/5:

\(\displaystyle\\\frac{9}{5} C^0=F^0-32^0\\\\\frac{9}{5} C^0+32^0=F^0-32^0+32^0\\\\\frac{9}{5} C^0+32^0=F^0\\\\Thus,\\\\F^0=1.8C^0+32^0\)

\(t=-48.39^0C\\Hence,\\t^0(F)=1.8(-48.39^0)+32^0\\t^0(F)=-87.102^0+32^0\\t^0(F)=-55.102^0\)

\(t=313,31^0C\\Hence,\\t^0(F)=1.8(313,31^0)+32^0\\t^0(F)=563.958^0+32^0\\t^0(F)=595.958^0\)

\(Thus,\\-55.102^0F\leq t^0\leq 595.958^0F\)

ANSWER

• (x+a)(x-a) = x² - a²

• (x+a)² = x² + 2ax + a²

• (x-a)² = x² - 2ax + a²

EXPLANATION

For the first product we can use the difference of two squares rule:

Then, for the other two we just have to apply the perfect square rule:

Based on the mentioned boxplot and the informations provided, it appears that there are around 8 undergraduate statistics students who are 69 inches or taller.

A boxplot is a graphical representation of a dataset that summarizes the distribution of the data. The boxplot shows the range of the data, the median, and the quartiles (the 25th and 75th percentiles) of the data. In this specific boxplot, we can see that the upper whisker extends to about 70 inches, which means that any values above that would be considered outliers.

The box also extends up to around 68.5 inches, and since the box contains 50% of the data, we can infer that approximately half of the students are 68.5 inches or taller. Therefore, we can estimate that approximately 8 students (half of the 16 students) are 69 inches or taller.

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The required Linear function among the following option is D) y=|x|.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

A)  y=3x³

It is cubic function.

B) y=¼x

It is inverse function.

C) Y=x²

It is a quadratic function.

D) y=|x|

It is a modulus function, but after remove the Mode in x, we get

y = x and y = -x

So, Here power on x is one. It is Linear function as well.

Thus,  y=|x| is linear function.

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Answer:

x = 19/2 or 9.5

Step-by-step explanation:

Hello!

We can distribute the parenthesis and solve.

Move all x terms to one side and integer terms to the other

Answer:

it is a statistical measure of the relationship between two variables that indicates the extent to which the variables change together in the same or opposite direction. Correlation does not imply causation, meaning that a correlation between two variables does not necessarily mean that one variable causes the other.

Based on this definition, the correct answer is b. Increasing values of X go with either increasing or decreasing values of Y. A correlation exists between two variables when both variables increase or decrease together. This statement captures the idea that correlation can be positive or negative, and that it reflects a linear relationship between two variables.

Step-by-step explanation:

a is wrong because it only describes positive correlation, not negative correlation.

c is wrong because it confuses correlation with consistency. Correlation does not require that higher values of X always go with higher or lower values of Y, only that they tend to do so on average.

d and f are wrong because they assume causation from correlation, which is a logical fallacy.

e is wrong because it contradicts itself. It says that increasing values of X go with increasing values of Y, which is positive correlation, but then it says that a correlation exists when both variables decrease together, which is negative correlation.

If X is correlated with Y, it implies a predictive statistical relationship between X and Y. This correlation can be positive or negative implying respective increase or decrease in values of both variables. But, this correlation doesn't prove causation.

If X is correlated with Y, it indicates a statistical relationship between the two variables, X and Y. This relationship can be positive or negative. If it is a positive correlation, as X increases, Y will also increase and similarly, as X decreases, Y will also decrease. Contrarily, in a negative correlation, as X increases, Y decreases and vice versa. However, it is important to understand that correlation does not imply causation. That is, if X and Y are correlated, it does not necessarily mean that changes in X cause changes in Y or vice versa. It only means that they move in a predictable manner relative to each other.

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Answer:

Non-isosceles Trapezoid: "0" (No) number of lines of symmetry

Rotational symmetry order: 0 , Rotational Symmetry angle: none

Step-by-step explanation:

Non-isosceles Trapezoid: "0" (No) number of lines of symmetry

Rotational symmetry order: 0 , Rotational Symmetry angle: none

Answer: 9/4

Step-by-step explanation:

Answer:

15/4 feet

Step-by-step explanation:

When given a mixed number like \(3\frac{3}{4}\), you multiply the denominator by the whole number and add the numerator.

In this case, multiply 3 x 4 and then add 3. After finding that value, put it over the original denominator, giving 15/4

The soft drink vendor's maximum profit per day is $5250, and he must sell 1500 cans of soda pop to reach the maximum profit.

To find the maximum profit per day for the soft drink vendor, we need to use the formula P(x) = 0.001x^2 + 3x + 1800, where x is the number of cans of soda pop sold in one day.

To find the maximum profit, we need to find the vertex of the parabola represented by the profit function. The x-coordinate of the vertex is given by -b/2a, where a = 0.001 and b = 3. Plugging in these values, we get x = -3/(2*0.001) = -1500.

Since the soft drink vendor cannot sell a negative number of cans, we know that the maximum profit occurs at the closest whole number to x = -1500, which is x = 1500.

To find the maximum profit per day, we can plug in x = 1500 into the profit function:

P(1500) = 0.001(1500)^2 + 3(1500) + 1800 = $5250

Therefore, the soft drink vendor's maximum profit per day is $5250, and he must sell 1500 cans of soda pop to reach the maximum profit.

To find the maximum profit per day and the number of cans needed to reach that profit, we'll first need to find the critical point of the given quadratic profit function, P(x) = -0.001x^2 + 3x - 1800.

Step 1: Find the derivative of P(x) with respect to x. This will give us the rate of change of profit as the number of cans sold changes.

P'(x) = -0.002x + 3

Step 2: Set the derivative equal to zero and solve for x. This will give us the critical point where the maximum profit occurs.

-0.002x + 3 = 0

x = 1500 cans

Step 3: Substitute the critical point (x = 1500) back into the profit function P(x) to find the maximum profit.

P(1500) = -0.001(1500)^2 + 3(1500) - 1800

P(1500) = $600

So, the maximum profit per day is $600, and the soft drink vendor must sell 1500 cans to reach the maximum profit.

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The maximum profit per day is $4800, and the vendor must sell 1500 cans of soda pop to reach this maximum profit.

The profit function for the soft drink vendor is given by:

P(x) = \(0.001x^2 + 3x + 1800\)

To find the maximum profit, we need to find the vertex of the parabola represented by this function. The x-coordinate of the vertex can be found using the formula:

x = -b / (2a)

where a = 0.001 and b = 3. Substituting these values, we get:

x = -3 / (2 * 0.001) = -1500

Since the value of x cannot be negative in this context, we know that the maximum profit occurs at x = 1500. To find the maximum profit, we substitute this value of x into the profit function:

P(1500) =\(0.001(1500)^2 + 3(1500) + 1800 = $4800\)

Therefore, the maximum profit per day is $4800, and the vendor must sell 1500 cans of soda pop to reach this maximum profit.

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Answer:

Answer: B.-1/2

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Since you want 2 significant figures, you take the first 2 figures, and since there is a .9 after 12, you round up to 13.

Quick question: Is this a multiple choice question and if so, may you provide the multiple choice answers before I give you a proper answer?

A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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Answer:

5 feet 4.4 inches tall

Step-by-step explanation:

An expression that is not equivalent to 8(x − 2) + 13 − 2x include the following:

A. 8x - 16 + 13 - 2x.

B. 3(2x − 1).

C. 6x - 3.

In this exercise, you are to determine the expressions that are equivalent to the given mathematical expression 8(x − 2) + 13 − 2x. This ultimately implies that, we would have to simplify this mathematical expression 8(x − 2) + 13 − 2x by applying the distributive property of multiplication as follows;

8(x − 2) + 13 − 2x

8(x) - 8(2) + 13 - 2x

8x - 16 + 13 - 2x (Equivalent).

8x - 3 - 2x

6x - 3 (Equivalent).

By factorizing the above mathematical expression 6x - 3, we have the following:

3(2x − 1) (Equivalent).

In conclusion, we can logically deduce that 8x - 16 + 13 - 2x, 6x - 3, and 3(2x − 1) are equivalent to the given mathematical expression 8(x − 2) + 13 − 2x.

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The minimum value of the function f(x) =0. 9x2+3. 4x-2. 4 is -3.77 and its parabolic curve is upward because of its minimum value.

Let's consider the equation of a function.

f(x) = \(0.9x^{2} + 3.4x -2.4\)

Now, divide each and every element and assume that a, b, and c are coefficients of the function given.

a: 0.9

b: 3.4

c: -2.4

The sign of the coefficient of a determines the exposure of the parabola. Since a >  0, the parabola is open upwards and has a minimum value.

We can find the "x" of the vertex using the following expression.

x(v) = -b/2a = -3.4/(0.9)

x(v) = -3.77

We can find the "y" of the vertex by replacing this x in the equation

y(v) = 0.9(-3.77)² + 3.4(-3.77) -2.4

y(v)  = -2.42

The minimum value of the function is -3.77

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Answer:

6

Step-by-step explanation:

Slope is going up 6 and 1 across.

Answer:

6

Step-by-step explanation: