(10 points) Find the length of the curve on the given interval. *(t)=(t cos(t), t sin(t),t), s Vu?+ d’du= ’('+ + adu=+(u Vu’+ a + a’Inlu+ Vu’+ a^)+C ) 1 2 [0,1] (Hint:

Answer:

135

Step-by-step explanation

Turn 54% into a decimal so it would be like 0.54

Then multiply 250 by 0.54 to get 54% of the number.

As a result of answering the given question, we may state that When we expressions compare the finished square form\(2(x - 1/4)^2 + 143/8\) to the answer alternatives, we see that option \(D: 2(x - 1/16)`^2.\)

In mathematics, an expression is a set of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, exponentiation, and so on) that expresses a quantity or value. Expressions might be simple, like "3 + 4", or complex, like "(\(3x^2\) - 2) / (x + 1)". They may also include functions such as "sin(x)" or "log(y)". Expressions can be evaluated by substituting values for the variables and carrying out the mathematical operations in the given order. For instance, if x = 2, the formula "3x + 5" is 3(2) + 5 = 11. In mathematics, expressions are widely used to explain real-world situations, build equations, and simplify complex mathematical issues.

expression is equivalent -

\(2(x^2 - 1/2x) + 18\\2(x^2 - 1/2x + 1/16 - 1/16) + 18\\2((x - 1/4)^2 - 1/16) + 18\\2(x - 1/4)^2 - 1/8 + 18\\2(x - 1/4)^2 + 143/8\\\)

When we compare the finished square form\(2(x - 1/4)^2 + 143/8\) to the answer alternatives, we see that option \(D: 2(x - 1/16)`^2.\)

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A statistical analysis is internally valid if option B is correct, meaning that the statistical inferences about causal effects are valid for the population studied. Internal validity refers to the accuracy of conclusions drawn from a study, specifically focusing on causal relationships within the population being analyzed.

Statistical analysis is a method of examining data to identify patterns and trends, which can help researchers make informed decisions. Regression is a technique used to determine the relationship between two or more variables, where one variable (the dependent variable) is affected by one or more other variables (independent variables).

The population refers to the entire group of individuals or objects being studied. In order to have internal validity, the statistical analysis must accurately represent the population's characteristics and the causal relationships between variables.

R² (option A) is a measure of how well the regression model fits the data but doesn't necessarily imply internal validity. Option C, t-statistics, is related to hypothesis testing and helps determine if a relationship between variables is statistically significant. However, having all t-statistics greater than |1.96| doesn't guarantee internal validity.

Lastly, option D states that the population is small (less than 2,000) and can be observed. While having a smaller population might make it easier to gather data, this does not guarantee internal validity.

In summary, internal validity is achieved when the statistical inferences about causal effects are valid for the population studied (option B). It ensures that the conclusions drawn from a study are accurate and represent the true relationships within the population.

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The degrees of freedom for a chi-square goodness-of-fit test are calculated as the number of categories minus 1.

Suppose we wish to determine if an ordinary-looking six-sided die is fair, or balanced, meaning that each face has a probability of 1/6

of arrival on top when the die is tossed. We could toss the die dozens, maybe hundreds, of times and compare the actual number of times each face arrival on top to the scheduled number, which would be 1/6

of the total number of tosses. We would not expect each number to be exactly 1/6 of the total, but it should be close.

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The probability that all of them get the same number is 1/36.

Given :

Three people are asked to throw a fair die.

Probability :

Probability is a branch of mathematics that deals with the occurrence of a random event.

In one dice probable outcomes 1, 2, 3, 4, 5 and 6

Total out comes in three dice = ( 6 * 6 * 6 = 216 )

Probability of getting 1 = 1/216

Similarly for 2, 3, 4, 5 and 6

Probability of getting same number = 6 * 1/6 * 1/6 * 1/6

= 6*1/6 * 1 * 1 / 6 * 6

= 6/6 * 1/36

= 1 * 1/36

= 1/36

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a) The effective rate of interest on a mortgage at 8.15 percent compounded semi-annually is 8.23 percent.

b) It will take approximately 54.4 years to save $1,000,000 for retirement with $200 monthly deposits at 6 percent interest compounded monthly.

a) To find the effective rate of interest, we use the formula: Effective Rate = (1 + (Nominal Rate / Number of Compounding Periods))^Number of Compounding Periods - 1.

For a mortgage at 8.15 percent compounded semi-annually, the nominal rate is 8.15 percent and the number of compounding periods is 2 per year.

Plugging these values into the formula, we get Effective Rate = (1 + (0.0815 / 2))^2 - 1 ≈ 0.0823, or 8.23 percent. Therefore, the effective rate of interest on the mortgage is 8.23 percent.

b) To determine how long it will take to save $1,000,000 for retirement with $200 monthly deposits at 6 percent interest compounded monthly, we can use the formula for the future value of an ordinary annuity: FV = P * ((1 + r)^n - 1) / r, where FV is the future value, P is the monthly deposit, r is the monthly interest rate, and n is the number of periods.

Rearranging the formula to solve for n, we have n = log(FV * r / P + 1) / log(1 + r). Plugging in the values $1,000,000 for FV, $200 for P, and 6 percent divided by 12 for r, we get n = log(1,000,000 * (0.06/12) / 200 + 1) / log(1 + (0.06/12)) ≈ 54.4 years.

Therefore, it will take approximately 54.4 years to save $1,000,000 for retirement under these conditions.

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Answer:

first one top left

Step-by-step explanation:

Answer:

1/3 is the dialation

Step-by-step explanation:

Algebraic representation is (x, y) → (kx, ky), and it is by 1/3 because -3 is 1/3 of -9 and -4 is 1/3 of -12.

No, the relationship is neither linear nor exponential.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation.

We have,

Ordered pairs from the table.

(15, 10), (16, 20), (17, 40), and (18, 70)

Now,

The rate of change between two ordered pairs is not the same.

Rate of change between (15, 10) and (16, 20).

= (20 - 10)/(16 - 15)

= 10/1

= 10

Rate of change between (16, 20) and (17, 40).

= (40 - 20)/(17 - 16)

= 20/1

= 20

This shows that it is not a linear relationship.

We can not make it in an exponential form.

i.e y = \(a^x\)

Thus,

The relationship from the table is not linear nor exponential.

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The answer is 0.2835

Given: Airplane arrives once every 15 minutes,

So Expected duration (µ) = 15

The rate parameter (λ) = 1/µ = 1/15

What is the expected duration (µ)?

Expected duration is the duration between two events to occur.

What is the rate parameter in exponential distribution?

The rate parameter shows how quickly the decay of the exponential function occurs. It is given by the reciprocal of expected duration that is λ = 1/µ,

where λ is the rate parameter and µ is the expected duration.

Also given that the probability of arrivals is exponentially distributed.

How to find the probability for some value (x) less than for some Random variable (X) that is distributed exponentially?

The probability for some value (x) less than for some Random variable (X) is given by

P(X<x) = 1- e^(-λx),

where

X = Random variable

x = value of some given specified condition

λ = rate parameter.

In the question, "a plane arrives in less than 5 minutes" so x = 5.

Therefore,

P(X<5) = 1 - e^(-1/15.5)

= 1 – 0.716531

= 0.283469 ≈ 0.2835.

Hence, the probability that a plane arrives in less than 5 minutes is 0.2835

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B, C, and D are all questions that should be expected to be answered with variable data

Variable data refers to information that can change or vary, as opposed to fixed or constant data. In the context of statistics and data analysis, variable data refers to data that can take on different values for different individuals or observations.

B, C, and D are all questions that should be expected to be answered with variable data because the answer to each of these questions can change depending on the specific context or situation.

For example, the number of phone calls one makes on a given day can vary, the highest grade on a test can change from test to test, and the number of people who attend a volleyball game can also change.

A. How tall are the students in my class? is a question that should be expected to be answered with fixed data as the height of the students in the class will stay the same unless there is a significant change in their height.

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The ratio x:y as required in the task content is; 25:18.

It follows from the information given in the task content that;

The area of rectangle P is; 40x.

The area of rectangle Q is; y × (1.25 × 40) = 50y.

Hence, since the area of Q is 10% less than the area of P, it follows that A(q) = 0.9A(p).

And, A(p)/A(q) = 10/9

Hence, 10/9 = 40x/50y

x/y= 50/36 = 25/18

Hence, the required ratio is; 25: 18.

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Based on the information, it can be inferred that the length of the sides of each square would be approximately 30cm.

To find the length of the sides of the square we must perform the following operation:

5,406cm² / 6 = 901cm²

According to the above, it can be inferred that the area of each square was 901cm².

\(\sqrt{901} = 30.01\)

According to the above, the approximate length of the sides of the squares is 30.01 cm

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Answer:

the total of straw are going to be 9 and there will be a 1/9 chances of getting the short straw. while each friend picks a straw the probability of getting a short straw is going to be higher because the amount of straws are going to be lessened.

Answer:

-14, -12, -10, -5.

and

m>−15

hope this helps! :)

Answer:

D and E

Step-by-step explanation:

Let's double check:

D. 9 ÷ 3 = 3

E. 4 × 9 = 36

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Have a great summer :)

Answer:

the answers would be A, D, and E

Step-by-step explanation:

just replace the Cs with the number 9 and solve from there.

for example c/3=3 would say 9/3=3

Answer:

Step-by-step explanation:

Answer:

C. 4 - 9

= - 5 is the correct answer .

thank you ☺️☺️

The formula for the polynomial P(x) is P(x) = (-7.2 / 9,847,679,684,888,875,731,776)(x - 3)^22(x + 2)^11

To find a formula for the polynomial P(x), we can start by using the given information about the roots and the y-intercept.

First, we know that the polynomial has a root of multiplicity 22 at x = 3. This means that the factor (x - 3) appears 22 times in the polynomial.

Next, we have a root of multiplicity 11 at x = -2. This means that the factor (x + 2) appears 11 times in the polynomial.

To determine the overall form of the polynomial, we need to consider the highest power of x. Since we have a polynomial of degree 33, the highest power of x must be x^33.

Now, let's set up the polynomial using these factors and the y-intercept:

P(x) = k(x - 3)^22(x + 2)^11

To determine the value of k, we can use the given y-intercept. When x = 0, the polynomial evaluates to y = -7.2:

-7.2 = k(0 - 3)^22(0 + 2)^11

-7.2 = k(-3)^22(2)^11

-7.2 = k(3^22)(2^11)

Simplifying the expression on the right side:

-7.2 = k(3^22)(2^11)

-7.2 = k(9,847,679,684,888,875,731,776)

Solving for k, we find:

k = -7.2 / (9,847,679,684,888,875,731,776)

Therefore, the formula for the polynomial P(x) is:

P(x) = (-7.2 / 9,847,679,684,888,875,731,776)(x - 3)^22(x + 2)^11

Note: The specific numerical value of k may vary depending on the accuracy of the given y-intercept and the precision used in calculations.

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The selling price per unit under the variable cost method is $53.25

To calculate the selling price per unit under the variable cost method, we need to add up all the variable costs and then add a markup for the target profit.

Variable cost per unit = Direct materials + Direct labor + Variable overhead + Variable selling, general, and administrative costs

Variable cost per unit = $17.50 + $11.00 + $12.00 + $9.50

Variable cost per unit = $50.00

Now we need to add a markup for the target profit:

Target profit per unit = Target profit / Number of units

Target profit per unit = $65,000 / 20,000

Target profit per unit = $3.25

Selling price per unit under the variable cost method = Variable cost per unit + Target profit per unit

Selling price per unit under the variable cost method = $50.00 + $3.25

Selling price per unit under the variable cost method = $53.25

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Answer:D

Step-by-step explanation:

Answer:

$1,658 in 4 weeks

Step-by-step explanation:

Since we are working in intervals of 2, we can just multiply.

829 * 2

1658

Best of luck!

Answer:

yuuuuuuuuuuuuuuuuuuuuuooooooooooooo

The formula n = (Z * Z * p * (1-p)) / (E * E) is used to calculate sample size for accurate estimation without prior knowledge of p.

To ensure that your sample is large enough to achieve the specified accuracy for the estimate without prior knowledge about p, you can use the formula for sample size calculation. The formula is:

n = (Z * Z * p * (1-p)) / (E * E)

where:
n = required sample size
Z = Z-value (corresponding to the desired confidence level)
p = estimated proportion of the population
E = desired margin of error or accuracy

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Jim rode for 5.5 hours

The given parameters are:

\(Distance = 189miles\) -- the total distance

\(Time= 6hours\) --- the total time

The rates are given as:

\(w = 4mi/hr\) ---- walks

\(r = 34mi/hr\) --- ride

So, we have the following equation

\(t_w + t_r = 6\) --- the sum of time walking and riding the bicycle

\(d_w + d_r = 189\) --- the sum of distance walked and riding the bicycle

Make dr and tr the subjects in the above equations

\(t_r = 6 - t_w\)

\(d_r = 189 - d_w\)

The equation for distance walked is:

\(w = \frac{d}{t}\)

So, we have:

\(4 = \frac{d}{t}\)

Make d the subject

\(d = 4t\)

Rewrite as:

\(d_w = 4t_w\)

For riding the bicycle, we have:

\(r = \frac{d}{t}\)

So, we have:

\(34 = \frac{189 - d_w}{6 -t_w}\)

Open brackets

\(204 - 34t_w = 189 - d_w\)

Rewrite as:

\(d_w =34t_w + 189 - 204\)

\(d_w =34t_w-15\)

Substitute \(d_w =34t_w-15\) in \(d_w = 4t_w\)

\(34t_w - 15 = 4t_w\)

Collect like terms

\(34t_w - 4t_w = 15\)

\(30t_w = 15\)

Divide both sides by 30

\(t_w = 0.5\)

Recall that:

\(t_r = 6 - t_w\)

So, we have:

\(t_r = 6 - 0.5\)

\(t_r = 5.5\)

Hence, Jim rode for 5.5 hours

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Statement (c) is correct for a simple graph. Every trail is a path, and every path is a trail.

In graph theory, a simple graph is an undirected graph with no loops or multiple edges between the same pair of vertices. A path in a graph is a sequence of vertices where each consecutive pair is connected by an edge. A trail in a graph is a path that allows for repeated vertices and edges.

Statement (a) is not correct because not every path is a trail. A path does not allow for repeated vertices or edges, whereas a trail does.

Statement (b) is not correct because not every trail is necessarily a path. A trail may contain repeated vertices or edges, but a path does not.

Statement (d) is not correct because paths and trails do have a relation. A trail is a more general concept that encompasses paths by allowing for repetition of vertices and edges.

Therefore, statement (c) is the correct statement. In a simple graph, every trail is a path, and every path is a trail.

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Explanation:

The two points mentioned in bold are midpoints of segments AB and AC respectively.

To find the coordinates of a midpoint, you add up the x coordinates and divide by 2. Do the same with the y coordinates.

For example, points A and B are at (7,6) and (1,-2)

If we add up the x coordinates and divide by 2, then we get (7+1)/2 = 4. Do the same for the y coordinates to get (6+(-2))/2 = 2. So that's how (4,2) is the midpoint of segment AB. You'll use similar logic to find that (8,2) is the midpoint of segment AC.

A slight alternative is that once you find one midpoint is (4,2), you can draw a horizontal line until you reach (8,2). We're using the idea that the midsegment is parallel to BC which is also horizontal.

The value of z is determined by capital-to-labor ratio and it is greater than 1.

The value of z is determined by the capital-to-labor ratio of each firm, specifically the ratio between the capital used (K) and the labor employed (L). To find the value of z, we need to compare the capital-to-labor ratios of Tom's firm (Kt/Lt) and Dana's firm (Kd/Ld).

Comparing the production functions, we can see that Tom's firm has a capital exponent of 0.7, while Dana's firm has a capital exponent of 0.3. Similarly, Tom's firm has a labor exponent of 0.3, while Dana's firm has a labor exponent of 0.8.

Since the capital exponent in Tom's firm (0.7) is greater than the capital exponent in Dana's firm (0.3), Tom's firm has a larger capital-to-labor ratio. This implies that Tom's firm uses relatively more capital compared to labor in the production process.

Therefore, z, which represents the ratio of Dana's firm's capital-to-labor ratio to Tom's firm's capital-to-labor ratio, will be less than 1. This means that Dana's firm uses relatively less capital compared to labor.

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A. Grow wheat in the sunshine, instead of the shade, or make sure that the wheat in the shade gets light.

B. This would overcome the problem of the slugs eating the wheat.

C. Yes, it would.

Answer: yes I do believe

Answer:

it should B

Step-by-step explanation:

because in triangle OBC, angle OBC =25 degree, OCB =25degee and angle O is not given so, sum of all the angles will be 50 + angle O = 180 degreeangle O = 180-50angle O =130 degree

correct me if im wrong

give a thanks and brianliest if im right ty

Answer:

Ig this will be the answer