PLS HELP ME IN THIS ASAP

The components of the vector v are \((5, 1, 0)\) and the unit vector u in the direction of v is \((5 / sqrt(26), 1 / sqrt(26), 0 / sqrt(26))\).

To find the components of the vector v with initial point p and terminal point q, we subtract the coordinates of p from the coordinates of q.

The components of the vector v are given by:

\(v = q - p\)
\(= (6, 2, 0) - (1, 1, 0)\)
\(= (6 - 1, 2 - 1, 0 - 0)\)
\(= (5, 1, 0)\)

Now, to find the unit vector u in the direction of v, we divide each component of v by the magnitude of v.

The magnitude of v, denoted as ||v||, can be calculated using the formula:
\(||v|| = sqrt(x^2 + y^2 + z^2)\)
where x, y, and z are the components of v.

In this case:
\(||v|| = sqrt(5^2 + 1^2 + 0^2)\)
\(= sqrt(25 + 1 + 0)\)
\(= sqrt(26)\)

Therefore, the unit vector u in the direction of v is given by:
\(u = v / ||v||\)
\(= (5, 1, 0) / sqrt(26)\)

Simplifying each component, we get:
\(u = (5 / sqrt(26), 1 / sqrt(26), 0 / sqrt(26))\)

Thus, the components of the vector v are (5, 1, 0) and the unit vector u in the direction of v is \((5 / sqrt(26), 1 / sqrt(26), 0 / sqrt(26)).\)

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Answer:x=21

Step-by-step explanation:

10/14=15/x

5/7=15x^-1

(5/7)/15=ans

ans=x^-1

ans^-1=21

Answer: x=21

Step-by-step explanation:

\(\frac{10}{14} =\frac{15}{x}\)

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 14x, the least common multiple of 14,x.

x×10=14×15

Multiply 14 and 15 to get 210.

x×10=210

Divide both sides by 10.

x=

10

210

​

Divide 210 by 10 to get 21.

x=21

Answer:

The answer is "$80".

Step-by-step explanation:

Please see the attached file for the whole question.

Yolanda's total pay y changes for each 'English is fun' sold x, i.e.

\(\frac{\delta y}{\delta x} = \frac{dy}{dx} \\\\y = 1900+80 x\)

separating the above equation:

\(\frac{dy}{dx}= 80\)

Therefore,

\(\frac{dy}{dx} = \$80\)

For each 'English is enjoyable' sold x, the change in Yolanda total compensation y is \(\$80\).

Step-by-step explanation:

200

16

= 12.5km/L

I hope it helps

Answer:

Select all numbers greater to or equal to 48. (48, 49, 51, 53, 58)

x ≥ 48

Step-by-step explanation:

If you divide both sides by two because you have a 2x and you need to get a single x, you would get x ≥ 48 (96 divided by 2) you would select all numbers greater to or equal to 48.

Answer:

48, 49, 51, 53, 58

Step-by-step explanation:

Equivalent inequality

96 ≤ 2x

If you started with 100 grams of radon-222 and it has a half-life of 2.183 days, after 4 days, 46.6 grams of radon-222 will remain.

The half-life of a radioactive element is the time it takes for half of the atoms in a sample to decay. This means that after one half-life, the amount of the element remaining will be half of the original amount. After two half-lives, the amount remaining will be a quarter of the original amount, and so on.

To find the amount of radon-222 remaining after 4 days, we can divide the length of time by the half-life to find out how many half-lives have passed. In this case, 4 days / 2.183 days = 1.84 half-lives. This means that the amount of radon-222 remaining will be a quarter of the original amount.

If we started with 100 grams of radon-222 and a quarter remains after 1.84 half-lives, the amount remaining will be 100 grams * 0.25 = 46.6 grams.

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After taking Math 1010, their hourly wage increases to $12, which is a raise of 20%. They now make 20% more than their coworker. the person's new wage is $12 and the coworker's wage is $11, the person now makes ($12 - $11) / $11 * 100 ≈ 9.09% more than the coworker.the raise is 57.4%.

The hourly wage of the person is $10, while their coworker earns 10% more, making it $11 per hour.
Let's denote the person's hourly wage as x. According to the given information, the coworker earns 10% more than the person. This means the coworker's hourly wage is x + 0.10x = 1.10x.
Together, they make $16 per hour, so their combined wages are x + 1.10x = 2.10x. Since this equals $16, we can solve for x: 2.10x = $16, which gives x = $7.62.
After taking Math 1010, the person's hourly wage increases to $12. The raise amount can be calculated as the difference between the new wage and the previous wage, which is $12 - $7.62 = $4.38. To calculate the raise percentage, we divide the raise amount by the previous wage and multiply by 100: (4.38 / 7.62) * 100 ≈ 57.4%. Therefore, the raise is approximately 57.4%.
Since the person's new wage is $12 and the coworker's wage is $11, the person now makes ($12 - $11) / $11 * 100 ≈ 9.09% more than the coworker.

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The lowest measurement scale the researcher could use to measure the differences in consumer feelings about the perceived reliability of the products is the ordinal scale.

In order to compare and rank consumer feelings about the perceived reliability of different products, the researcher needs a measurement scale that allows for a relative ordering of the responses. The ordinal scale is the lowest level of measurement that provides this capability.

An ordinal scale assigns numbers or labels to observations in a way that reflects their relative position or ranking.

It allows for comparisons of the responses in terms of greater or lesser, but it does not provide information about the magnitude of the differences between the rankings. In other words, it indicates the order of preference or strength of feeling but does not quantify the exact differences.

Using an ordinal scale, the researcher can ask consumers to rate the products on a scale such as "strongly disagree," "disagree," "neutral," "agree," and "strongly agree" in terms of their perceived reliability. Based on the responses, the researcher can determine the relative strength of feelings about each product's reliability by comparing the rankings.

While the ordinal scale provides valuable insights into the relative ordering of consumer preferences, it does not allow for precise measurements or calculations of mean differences between products. For more detailed analysis, higher-level measurement scales such as interval or ratio scales would be required.

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Answer: $13.65 per ticket

Step-by-step explanation:

54.6/4

The lateral surface area of the cylinder is 423.9 square inches.

To find the lateral surface area of a cylinder, we need to consider the curved surface that wraps around the cylinder's sides, excluding the top and bottom bases.

The formula for the lateral surface area of a cylinder is:

Lateral Surface Area = Circumference of Base × Height

In this case, you are given that the circumference of the cylinder is 47.1 inches and the height is 9 inches.

The circumference of a cylinder is the distance around its circular base. We know that the formula for the circumference of a circle is:

Circumference = 2πr

Since a cylinder has two circular bases with the same radius, the circumference of the cylinder will be equal to the circumference of either of the bases. Therefore, we can write:

Circumference of Base = 2πr

We are not given the radius directly, but we can rearrange the formula to solve for the radius:

r = Circumference of Base / (2π)

Substituting the given circumference, we have:

r = 47.1 inches / (2π)

Once we have the radius, we can calculate the lateral surface area using the formula mentioned earlier:

Lateral Surface Area = Circumference of Base × Height

Substituting the values, we get:

Lateral Surface Area = 47.1 inches × 9 inches

Evaluating this expression, we find:

Lateral Surface Area = 423.9 square inches

So, the lateral surface area of the cylinder is 423.9 square inches.

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The correct answer is option D. No, because the sample sizes are not large enough to assume the distribution of the difference in sample means is approximately normal.Researchers investigated whether there is a difference between two headache medications, R and S.

Researchers measured the mean times required to obtain relief from a headache for patients taking one of the medications. From a random sample of 75 people with chronic headaches, 38 were randomly assigned to medication R and the remaining 37 were assigned to medication S. The time, in minutes, until each person experienced relief from a headache was recorded. The sample mean times were calculated for each medication.To construct a confidence interval, we require that some conditions are satisfied. The assumptions that should be met for inference with a confidence interval for the difference in population means are as follows:The data is independent;The data in each group should be roughly normally distributed;Both groups have the same variance, and each group should have a large enough sample size so that the central limit theorem (CLT) holds. The CLT holds for the difference in the sample means since both samples are taken from a population that is normally distributed. We can also assume that the sample size is large enough to use the t-distribution since each sample has more than 30 observations. As a result, all of the conditions have been met. As a result, we may employ a t-distribution to make inferences about the population difference between the two headache medications.

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The area of this rectangle is equal to 55 yd².

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

Since the length of the garden is 6 yard more than the width, we have:

L = W + 6

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

32 = 2L + 2W

32 = 2(W + 6) + 2W

32 = 2W + 12 + 2W

32 = 4W + 12

W = 5 yards.

L = 5 + 6

L = 11 yards.

For the area, we have:

Area of rectangle = LW

Area of rectangle = 11 × 5

Area of rectangle = 55 yd².

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Answer:

(\(\sqrt{7}\) - x )(\(\sqrt{7}\) + x )

Step-by-step explanation:

Using the difference of squares

a² - b² = (a - b)(a + b) , then

7 - x²

= (\(\sqrt{7}\) )² - x²

= (\(\sqrt{7}\) - x)(\(\sqrt{7}\) + x)

Answer:

3/4x+3-2x= −5 /4 x+3

Step-by-step explanation:

yw <3 IMAO

Answer:

ca 32.89

Step-by-step explanation:

Firstly we need to know how far it is between the two points in both directions

In the x direction the distance is 8 - (-3) = 11

In the y-direction the distance is -42 -(-11) = -31

Then to find the shortest distance between the two points find the hypotenuse of the triangle we just made

31^2 + 11^2 = h^2

961 + 121 = h^2

1082 = h^2

h = ca 32.89

By squaring the deviations from the mean, we make them positive numbers, and the sum of the squared deviations will also be a positive number.

In mathematics and statistics, deviation refers to the difference between a value and a reference value or an expected value. More specifically, deviation is a measure of how far a set of numbers is spread out from their average value or the central point.

By squaring the deviations from the mean, we make them positive numbers, and the sum of the squared deviations will also be a positive number. This is because squaring any number makes it positive, regardless of whether the original number was positive or negative.

Additionally, squaring the deviations before summing them up allows us to give more weight to larger deviations from the mean. This is because squaring a larger deviation will result in a much larger value than squaring a smaller deviation, which helps to highlight the effect of outliers or extreme values in the data set.

The sum of the squared deviations is used in many statistical calculations, including calculating the variance and standard deviation of a data set, which are measures of the spread of the data.

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Answer:

25/100 or 1/4

Step-by2-step explanation:

40+20+25+15=100

so then if there id 100 you got 25/100 but then you got to simplify and you get  1/4.

Answer:

I don't understand the answer list, but the answer should be a 1/4 chance, or 25%.

Step-by-step explanation:

Black is 40, while yellow is 20, orange is 25 and purple is 15. If we add those all together, we get 100. We need the probability that one is orange, so we divide.

\(\frac{25}{100}\) is equal to \(\frac{1}{4}\) or 25%.

She has a 25% chance of the band being orange.

The break-even quantity is 3 units. The profit for producing 470 units is $5624. 13 units must be produced for a profit of $120.here both cost and revenue are in dollars.

(a) To find the break-even quantity, we set the cost function C(x) equal to the revenue function R(x) and solve for x:

\(11x + 36 = 23x\)

\(36 = 12x\)

\(x = 3\)

Therefore, the break-even quantity is 3 units.

(b) The profit for producing 470 units can be calculated by subtracting the cost from the revenue:

\(Profit = Revenue - Cost\)

\(Profit = R(470) - C(470)\)

\(Profit = 23(470) - (11(470) + 36)\)

\(Profit = 10810 - 5186\)

\(Profit = $5624\)

The profit for producing 470 units is $5624.

(c) To find the number of units that must be produced for a profit of $120, we set the profit equation equal to $120 and solve for x:

\(Profit = Revenue - Cost\)

\($120 = R(x) - C(x)\)

\($120 = 23x - (11x + 36)\)

\($120 = 12x - 36\)

\(12x = 156\)

\(x = 13\)

Therefore, 13 units must be produced for a profit of $120.

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The number of simple events in this experiment is 16.

The correct answer to the given question is option c.

The probability of an event can be calculated by dividing the number of favorable outcomes by the number of possible outcomes. A simple event is one in which only one of the outcomes can occur. For example, if a coin is tossed, a simple event would be the outcome of the coin being heads or tails.

The total number of possible outcomes in the experiment of tossing 4 unbiased coins simultaneously is 2⁴, since there are two possible outcomes for each coin. Thus, the total number of possible outcomes is 16.

Each coin has two possible outcomes: heads or tails. If all four coins are flipped, there are two possible outcomes for the first coin, two possible outcomes for the second coin, two possible outcomes for the third coin, and two possible outcomes for the fourth coin. Therefore, the total number of possible outcomes is 2 × 2 × 2 × 2 = 16.

Therefore, the number of simple events in this experiment is 16, which is option (c).

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True. The correlation coefficient (r) must also be positive, indicating a strong positive linear relationship between the two variables.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where a value of -1 indicates a perfectly negative linear relationship, a value of 1 indicates a perfectly positive linear relationship, and a value of 0 indicates no linear relationship.  If the slope (b) of ŷ is positive, it means that as the independent variable increases, the dependent variable also increases.

In addition to the above explanation, it is important to note that while a positive slope (b) of ŷ indicates a positive linear relationship between two variables, it does not necessarily mean that the correlation coefficient (r) will always be positive. For example, if there is a weak positive linear relationship between two variables, the correlation coefficient (r) may still be positive but not as strong as if there was a strong positive linear relationship. Similarly, there may be situations where the correlation coefficient (r) is positive but the slope (b) of ŷ is not positive, such as in a curvilinear relationship where the relationship between the two variables is not linear.

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Answer:

question1. x+7=12

question9. n+5

question8. x/3

Algebraic expressions are given. It is required to tell if they are polynomials, tell how many terms they have, and give reasons if they are not a polynomial.

Recall that polynomials are a monomial or a sum of monomials.

Recall also that monomials are a number, a variable, or a product of numbers and variables with whole-number exponents.

Notice that this satisfies the definition of a polynomial.

Hence, it is a polynomial and it has 3 terms.

Notice that this satisfies the definition of a polynomial.

Hence, it is a polynomial and it has 2 terms.

Notice that this expression does not satisfy the definition of a polynomial as it has a monomial with a negative number exponent variable, which is not a whole number.

Hence, it is not a polynomial, it has a term that has a variable with a negative exponent.

This is a polynomial with just 1 term.

This satisfies the definition of a polynomial.

Hence, it is a polynomial and it has 2 terms.

This also satisfies the definition of a polynomial as it only has monomials with variables of whole-number exponents.

Hence, it is a polynomial and it has 3 terms.

It is not a polynomial, it has a term that has a variable with a negative exponent.

This also satisfies the definition of a polynomial as it only has monomials with variables of whole-number exponents.

Hence, it is a polynomial and it has 4 terms.

This also satisfies the definition of a polynomial as it only has monomials with variables of whole-number exponents.

Hence, it is a polynomial and it has 3 terms.

Answer:

The answer is true.

Step-by-step explanation:

\( \frac{4}{6} = \frac{14}{21} \\ 84 = 84\)

Because the last equation, 84=84, is true, then the ratios are true.

A polynomial function with real coefficients that has the given zeros -1, 8, 3, -21 is x^4−11x^3−197x^2−297x+504.

In the given question we have to find a polynomial function with real coefficient that has the given zeros -1, 8,3, -21.

The given zeros are -1, 8,3 - 21.

Let the variable is x.

So the factor from the given zeros are

(x-1), (x+8), (x+3), (x-21)

To find the polynomial we multiply the factors to each other.

=(x-1)(x+8)(x+3)(x-21)

We firstly multiply the factor with the pair of two using the distributive property.

={x(x-1)+8(x-1)}{x(x+3)-21(x+3)}

=(x^2-x+8x-8)(x^2+3x-21x+63)

Simplifying

=(x^2+7x-8)(x^2-18x+63)

=x^2(x^2+7x-8)-18x(x^2+7x-8)+63(x^2+7x-8)

=(x^4+7x^3-8x^2)-(18x^3+126x^2-144x)+(63x^2+441x-504)

=x^4+7x^3-8x^2-18x^3-126x^2+144x+63x^2+441x-504

=x^4−11x^3−197x^2−297x+504

Hence, a polynomial function with real coefficients that has the given zeros -1, 8, 3, -21 is x^4−11x^3−197x^2−297x+504.

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Answer:

i think variation

Step-by-step explanation:

Answer:

i think it would be...5^-5, 5^0, 5^4

Step-by-step explanation:

pls mark brainliest

Answer:

D) 3/25

Step-by-step explanation:

Total number of tiles:

Number of tiles with "E" on it:

Probability of selecting a tile with "E" on it:

Answer choice: D) 3/25

The fire is 39.2 miles from tower A. This is calculated using the law of sines, which states that the ratio of the sine of an angle to the length of the opposite side is equal for all sides of a triangle. In this case, the angle is 40 degrees, the opposite side is 28 miles, and the unknown side is the distance from tower A to the fire. Solving for the unknown side, we get 39.2 miles.

The law of sines is a trigonometric equation that can be used to solve for the sides of a triangle when two angles and one side are known. In this case, we know two angles and one side (the angle opposite the unknown side is 40 degrees, the angle opposite the 28-mile side is 116 degrees, and the 28-mile side is known). Solving for the unknown side, we get 39.2 miles.

Tower height:

The tower is 312 ft tall. This is calculated using the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is the height of the tower, and the other two sides are the 648-ft guy wire and the 295-ft distance from the tower to the point where the wire is attached to the ground. Solving for the height of the tower, we get 312 ft.

The Pythagorean theorem is a mathematical equation that can be used to solve for the length of the hypotenuse of a right triangle when the lengths of the other two sides are known. In this case, we know the lengths of the other two sides (the guy wire is 648 ft and the distance from the tower to the point where the wire is attached to the ground is 295 ft). Solving for the height of the tower, we get 312 ft.

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A chart that describes a company's formal structure is called an Organizational chart.

An organizational chart is a visual representation of an organization's structure. It illustrates how individual employees, teams, and tasks fit into the broader framework. It is also known as an organization chart or org chart. This type of chart depicts reporting relationships, responsibilities, and roles within an organization in a hierarchical arrangement.

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