Where is the midpoint of AB if A(6, 4) and B(5,-2)?
A) (11,2)
B (11,6)
C) (5.5,3)
D (5.5,1)

The corresponding differential element, rewrite the integral in terms of the new variable, integrate with respect to the new variable, replace the new variable with the original variable, and simplify the expression to find the solution.

To perform u-substitution with indefinite integrals, follow these steps:

Identify a suitable substitution: Look for a part of the integrand that resembles the derivative of a function. Choose a variable u to substitute for that part.

Calculate du: Take the derivative of u with respect to the original variable. This will help us express du in terms of the original variable.

Rewrite the integral: Substitute the chosen variable and du in the original integral, replacing the part to be substituted with u and the corresponding differential element du.

Integrate with respect to u: Treat the integral as a new integral with respect to u. Evaluate the integral using the rules of integration.

Replace u with the original variable: Rewrite the result of the integration in terms of the original variable.

Simplify and solve: If necessary, simplify the expression further or perform additional algebraic manipulations to obtain the final result.

Let's illustrate these steps with an example:

Consider the integral ∫(2x + 3)² dx.

Identify a suitable substitution: Let u = 2x + 3.

Calculate du: Take the derivative of u with respect to x: du/dx = 2. Rearrange the equation to solve for du: du = 2 dx.

Rewrite the integral: In terms of u and du, the integral becomes ∫u² (du/2).

Integrate with respect to u: Treat the integral as a new integral with respect to u: (1/2) ∫u² du = (1/2) * (u³/3) + C, where C is the constant of integration.

Replace u with the original variable: Substitute back u = 2x + 3 in the result: (1/2) * ((2x + 3)³/3) + C.

Simplify and solve: Further simplify the expression if necessary to obtain the final result.

In summary, to perform u-substitution with indefinite integrals, identify a suitable substitution, calculate the corresponding differential element, rewrite the integral in terms of the new variable, integrate with respect to the new variable, replace the new variable with the original variable, and simplify the expression to find the solution.

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The values of x in the interval [0,2π] are given by:

\(\frac{5\pi}{6} \leq x\leq \frac{\pi}{6}\)

Given: 9 sin (x) \(\leq \frac{9}{2}\)

To find: Values of x in the interval \([0,2\pi]\).

Finding:

As 9 sin (x) \(\leq \frac{9}{2}\),

=> \(sin(x)\leq \frac{1}{2}\)

As, \(sin (\frac{\pi}{6})=sin(\frac{1}{2})\),

=> \(sin(x)\leq sin(\frac{\pi}{6})\)

=> \(x\leq \frac{\pi}{6}\), i.e., the principle value of x.

As sin (x) = sin (π - x), \(\pi -x\leq \frac{\pi}{6}\)

=> \(\pi -\frac{\pi}{6}\leq x\)

=> \(\frac{5\pi}{6}\leq x\)

Hence, the values of x in the interval [0,2π] are given by:

\(\frac{5\pi}{6} \leq x\leq \frac{\pi}{6}\)

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Answer:

most likely the last choice

Step-by-step explanation:

Answer: during evaporation

Step-by-step explanation: the sun heats up the water which caused it to evaporate

Step-by-step explanation:

the solution is in the photo I sent

The four levels of measurement in statistics are nominal, ordinal, interval, and ratio.

1. Nominal: The nominal level of measurement involves categorizing data into distinct categories or groups. Examples include gender (male or female), marital status (single, married, divorced), or types of fruits (apple, orange, banana).

2. Ordinal: The ordinal level of measurement allows for ranking or ordering of data based on a specific criterion. Examples include survey ratings (strongly agree, agree, neutral, disagree, strongly disagree) or educational levels (elementary, middle school, high school, college, postgraduate).

3. Interval: The interval level of measurement not only allows for ranking but also quantifies the intervals or differences between values.Examples include temperature measured in Celsius or Fahrenheit, where the intervals between values are equal but zero does not indicate the absence of temperature.

4. Ratio: The ratio level of measurement possesses all the properties of the interval level but also has a true zero point, which indicates the absence of the measured attribute. Examples include height, weight, or income, where zero represents the absence of the attribute and ratios between values are meaningful (e.g., someone twice as tall as another person).

Nominal: The nominal level of measurement involves categorizing data into distinct categories or groups. In this level, data are simply named or labeled without any quantitative value. Examples include gender (male or female), marital status (single, married, divorced), or types of fruits (apple, orange, banana).

Ordinal: The ordinal level of measurement allows for ranking or ordering of data based on a specific criterion. It indicates relative differences between the values but does not quantify the magnitude of those differences. Examples include survey ratings (strongly agree, agree, neutral, disagree, strongly disagree) or educational levels (elementary, middle school, high school, college, postgraduate).

Interval: The interval level of measurement not only allows for ranking but also quantifies the intervals or differences between values. However, it does not have a true zero point. Examples include temperature measured in Celsius or Fahrenheit, where the intervals between values are equal but zero does not indicate the absence of temperature.

Ratio: The ratio level of measurement possesses all the properties of the interval level but also has a true zero point, which indicates the absence of the measured attribute. It allows for comparisons of magnitude and ratios between values. Examples include height, weight, or income, where zero represents the absence of the attribute and ratios between values are meaningful (e.g., someone twice as tall as another person).

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The passengers selected for the in-flight survey in this scenario can be best referred to as a stratified random sample.

In stratified random sampling, the population is divided into smaller, non-overlapping groups, called strata, which share similar characteristics. In this case, the strata are the 40 flights selected by Northwest Airlines. From each of these strata, a random sample of passengers is chosen, which in this case, is a group of ten passengers from each flight.

This method ensures that each flight's passengers are represented in the survey, allowing for better generalizability of the results. By selecting passengers randomly within each stratum, the survey helps minimize selection bias and ensures that the sample reflects the diversity of the overall population of passengers. The stratified random sampling approach is especially useful when studying a large and diverse population, as it provides a more accurate representation of the population's characteristics compared to simple random sampling.

In summary, the passengers participating in the in-flight survey are best referred to as a stratified random sample because they are chosen from 40 randomly selected flights, with ten passengers randomly selected within each flight. This sampling approach ensures better representation of the overall population and helps minimize selection bias in the survey results.

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Answer:

116

Step-by-step explanation:

7x-9=803

(add 9 to both sides)

7x=812

(divide by 7)

x=116

The given question is incomplete. The complete question is:

A farmer sells 9.9 kg of pears and apples at the farmers market. 3/4 of this weight is pears,and the rest is apples.how many kilograms of apples did she sell at the farmers market.

Answer: The farmer sells 2.475 kg of apples.

Step-by-step explanation:

Given : Total weight of pears and apples = 9.9 Kg

\(\frac{3}{4}\) of the total weight is pears

Hence, weight of pears = \(\frac{3}{4}\times 9.9=7.425 Kg\)

Therefore weight of apples = Total weight - weight of pears = (9.9 -7.425) = 2.475 Kg  

Answer:

426+17m=s

Step-by-step explanation:

You are multiplying 17 by an amount of months (m) then adding 426 dollars to that because it is the amount of money you started with. s means the total savings which is what you'll get by solving the equation once you know how many months you've been saving.

The surface area of the box, excluding overlap, is 400 square inches.

The volume of the gift box is 300 cubic inches.

To calculate the amount of wrapping paper Malia will need, we need to find the surface area of the gift box.

The gift box has six faces: a top, a bottom, a front, a back, and two sides. The dimensions of the box are given as follows:

width = 15 inches, length = 10 inches, and height = 2 inches.

To find the surface area of the box, we need to calculate the area of each face and then sum them up.

The formula for the surface area of a rectangular prism is given by:

Surface Area = 2(length × width + width × height + height × length)

Substituting the given dimensions into the formula:

Surface Area = 2(10 × 15 + 15 × 2 + 2 × 10)

Surface Area = 2(150 + 30 + 20)

Surface Area = 2(200)

Surface Area = 400 square inches

Therefore, Malia will need 400 square inches of wrapping paper to cover the gift box without any overlap.

Next, let's calculate the volume of the gift box.

The volume of a rectangular prism is given by the formula:

Volume = length × width × height

Substituting the given dimensions into the formula:

Volume = 10 × 15 × 2

Volume = 300 cubic inches

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a. The expected dividends for t = 1 to t = 5 are as follows:
D₁ = $2.24
D₂ = $2.58
D₃ = $2.97
D₄ = $3.41
D₅ = $3.92

b. To calculate the estimated intrinsic value of the stock today (P₀), we need to find the present value of the dividends expected at t = 1 to t = 5 and the present value of the stock price at t = 5. Using the constant growth equation, we find:
P₂ = D₆ / (r - g) = D₅ * (1 + g) / (r - g) = $3.92 * (1 + 0.03) / (0.12 - 0.03) = $53.52
Now, we can find the present value of the dividends and the stock price:
P₀ = D₁ / (1 + r) + D₂ / (1 + r)² + D₃ / (1 + r)³ + D₄ / (1 + r)⁴ + D₅ / (1 + r)⁵ + P₂ / (1 + r)⁵
   = $2.24 / (1 + 0.12) + $2.58 / (1 + 0.12)² + $2.97 / (1 + 0.12)³ + $3.41 / (1 + 0.12)⁴ + $3.92 / (1 + 0.12)⁵ + $53.52 / (1 + 0.12)⁵
   = $2.00 + $2.14 + $2.17 + $2.04 + $2.07 + $33.48
   = $43.90

c. For the first year (t = 1), we can calculate the expected dividend yield (D₁ / P₀), the capital gains yield (expected total return minus the dividend yield), and the expected total return as follows:
Expected dividend yield = D₁ / P₀ = $2.24 / $43.90 = 0.051 (or 5.1%)
Capital gains yield = Expected total return - Expected dividend yield = 0.12 - 0.051 = 0.069 (or 6.9%)
Expected total return = Expected dividend yield + Capital gains yield = 0.051 + 0.069 = 0.12 (or 12.0%)

For t = 5:
Expected dividend yield = D₅ / P₀ = $3.92 / $43.90 = 0.089 (or 8.9%)
Capital gains yield = Expected total return - Expected dividend yield = 0.03 - 0.089 = -0.059 (or -5.9%)
Expected total return = Expected dividend yield + Capital gains yield = 0.089 - 0.059 = 0.03 (or 3.0%)

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Answer:

y = 2/3x-8

Step-by-step explanation:

in the equation y = mx+b, m = slope and b = y-intercept. all you have to do is plug the numbers in!!

Answer:

17

Step-by-step explanation:

i am in doubt with the answer

Answer:

\(\huge\boxed{KL = 17}\)

Step-by-step explanation:

If L lies on the line segment KM. It means that:

K_____?__________L___2__M

|<--------------------19------------------->|

Given that:

LM = 2

KM = 19

So,

KM = KL + LM

19 = KL + 2

Subtracting 2 to both sides

KL = 19-2

KL = 17

Answer:

4(9 + 4)

Step-by-step explanation:

36 + 16 ← factor out HCF of 4 from each term

= (4 × 9) + (4 × 4)

= 4(9 + 4)

another way to write 36 + 16 is 4(9) + 4(4).

To rewrite the expression 36 + 16 using the distributive property, we need to find a common factor that can be factored out. In this case, both 36 and 16 are divisible by 4. So, we can rewrite the expression as:

36 + 16 = 4(9) + 4(4)

Using the distributive property, we can further simplify this expression:

4(9) + 4(4) = 4 * 9 + 4 * 4

Now, we can calculate the values:

4 * 9 = 36

4 * 4 = 16

Therefore, another way to write 36 + 16 is 4(9) + 4(4).

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The left-endpoint sum (L) and right-endpoint sum (R) for the function f(x) = -x(x-1) on the interval [2, 5] can be calculated using n subintervals. The sum involves dividing the interval into smaller subintervals and evaluating the function at the left and right endpoints of each subinterval. The exact values of L and R will depend on the number of subintervals chosen.

To compute the left-endpoint sum (L), we divide the interval [2, 5] into n subintervals of equal width. Let's say each subinterval has a width of Δx. The left endpoints of the subintervals will be 2, 2 + Δx, 2 + 2Δx, and so on, up to 5 - Δx. We evaluate the function f(x) = -x(x-1) at these left endpoints and sum up the results. The value of L will depend on the number of subintervals chosen (n) and the width of each subinterval (Δx).

Similarly, to compute the right-endpoint sum (R), we use the right endpoints of the subintervals instead. The right endpoints will be 2 + Δx, 2 + 2Δx, 2 + 3Δx, and so on, up to 5. We evaluate the function at these right endpoints and sum up the results. Again, the value of R will depend on the number of subintervals (n) and the width of each subinterval (Δx).

To obtain more accurate approximations of the definite integral of f(x) over the interval [2, 5], we would need to increase the number of subintervals (n) and make the width of each subinterval (Δx) smaller. As n approaches infinity and Δx approaches zero, the left and right sums converge to the definite integral of f(x) over the interval.

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In mathematics, the associative and commutative qualities were laws that are constantly used to add & multiply.

What is associative property?

The associative property indicates that can group number again the same response is obtained as well as the flipping property shows that you might switch numbers around and always reach the very same solution.

Associative rules say that this does not matter to arrange the integers. The legislation contains for adding & multiplying, and does not include subtraction and division.

          a + (b + c ) = (a + b ) + c  ⇒   Associative property of addition

          a + b = b + a  ⇒  commutative property of addition.

As we show above both the property used for the addition and no used for the subtraction, that is why before applying the property Juan applied reverse additives.

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Answer: mechanical energy

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

\(x \le -4\)

Step-by-step explanation:

Given

\(\qquad16x - 7 \leq -71\)

Required

Solve

Start by adding 7 to both sides

\(\qquad16x - 7 + 7 \leq -71 + 7\)

\(\qquad16x - 7 + 7 \leq -64\)

\(\qquad16x \leq -64\)

Divide both sides by 16

\(\frac{16x}{16} \leq \frac{-64}{16}\)

\(\frac{16x}{16} \leq -\frac{64}{16}\)

\(x \leq -\frac{64}{16}\)

\(x \le -4\) --- The solution

Answer:

x < -4

I did this on khan academy

Answer:

Step-by-step explanation:

2.8 × (-11) - 3 × 8 =

-30.8 - 24 =

-54.8 ( in fraction -274/5)

Answer:

81 is your answer

Step-by-step explanation:

\(\sqrt{9^4}\)

\(\sqrt{9^2}\)

\(= 81\)

Hope it helps..

Have a great day

Answer:

your answer will be 81

Step-by-step explanation:

Thanks for the points

have a nice day!!

Answer:

2) -3x+10

4) -4x+10+x

Step-by-step explanation:

Use the distributive property to get rid of the parentheses.

(2 × -2x) + (2 × 5) + x

-4x + 10 +x is correct, but the x's can be combined.

(-4x + x) + 10 = -3x + 10

The magnitude of the correlation coefficient, regardless of the sign, provides information about the strength of the linear relationship between variables.

The sample correlation coefficient, r, ranges between -1 and 1. A value of 1 or -1 indicates a perfect linear relationship, where all data points lie precisely on a straight line. On the other hand, a value close to 0 indicates a weak or no linear relationship.

In the given scenario, r = .40 indicates a moderate positive linear relationship. Although the correlation is not perfect (not equal to 1), it still suggests a moderate degree of association between the variables. The positive sign indicates that as one variable increases, the other tends to increase as well, but not necessarily in a strictly linear fashion.

On the other hand, r = -.60 indicates a stronger linear relationship, albeit in the negative direction. The negative sign signifies an inverse relationship, meaning that as one variable increases, the other tends to decrease, but again, not necessarily in a perfectly linear manner. The magnitude, which is the absolute value of the correlation coefficient, indicates a stronger relationship compared to r = .40.

Therefore, it is important to consider both the magnitude and the sign of the correlation coefficient to assess the strength and direction of the linear relationship between variables.

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The numbers on the mailboxes could be considered either categorical or quantitative data. The correct Option is C: Either categorical or quantitative data.

The numbers on the mailboxes can be considered either categorical or quantitative data, depending on the context in which they are being used.

If the numbers are simply labels for the mailboxes, with no inherent numerical value or order, then they can be considered categorical data. In this case, the numbers would be treated as labels for the different categories or groups, rather than as measurements with numerical significance.

On the other hand, if the numbers are being used to represent a quantity or a position in a sequence, then they can be considered quantitative data. For example, if the numbers represent the physical location of the mailbox within a building, or the order in which mail is sorted and delivered, then they can be treated as numerical measurements.

Therefore, without further context, the numbers on the mailboxes could be considered either categorical or quantitative data.

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Answer:

no

Step-by-step explanation:

they can be either side because the numbers are different in the angles

The number of adult tickets that were sold would be = 435 tickets.

A ticket is an official document that gives an individual access to an event.

The cost of adult tickets = $8

The cost for student tickets = $4

The number of students tickets sold = X

The number of adults tickets sold = X +30

The told number of tickets sold = 840

To find X;

X + X + 30 = 840

2x + 30 = 840

2x = 840-30

2x = 810

X = 810/2

X = 405

Therefore, the number of tickets sold for adults = 405 +30 = 435 tickets.

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Answer:

Linda = z - 15

Step-by-step explanation:

Linda spent $15 less than Juan, it means: Linda + 15 = z

                                                                     Linda + 15 - 15 = z - 15

                                                                     Linda = z - 15

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Answer:

110.25

Step-by-step explanation:

Cost of 1 pen = 15.75

Cost of 7 pens = 15.75 × 7 = 110.25

Answer:

$110.25

Step-by-step explanation:

1 pen = $15.75

7 pens x $15.75 = $110.25

(this pen is expensive t.f)

Answer:

7 (1-6)

Step-by-step explanation:

you find the greatest common factor of 7 and 42.

7

7x1

42

1x42

2x21

3x14

6x7

8,99,999 in international system:-

899,999= Eight hundred ninety-nine thousand nine hundred ninety-nine