Rewrite This Integral As An Equivalent Iterated Integral In The Five Other Orders. (Assume Y(X) = Squareroot X And Z(Y) = 8 Y)

The decreasing temperature of the parcel as it travels up the mountain, from 0–m to 1,000–m are;

20 °C, 25 °C, 30 °C

The Dry Adiabatic Lapse Rate is the rate of change in temperature air which is unsaturated as it moves towards or away from a surface.

The given temperature of the parcel at an elevation of 0 meters = 20 °C

The Dry Adiabatic lapse Rate, DAR = (5°C/ 500–m)

The temperature, T, of the parcel at 1000–m is found as follows;

Using the DAR of 5°C/500–m, we have;

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Using the Venn diagram, each set and the number of elements in each set are:

a. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12}

b. A = {1, 3, 4, 5, 6, 8}

c. B = {4, 5, 6, 7, 9, 11}

d. C = {6, 8, 9, 12}

e. A ∪ B = {1, 3, 4, 5, 6, 7, 8, 9, 11}

f. A ∩ B = {4, 5, 6}

A Venn diagram is a pictorial representation used to visualize the relationships between different sets of objects or concepts.

a.) U is the universal set. This implies it contains all the elements in the set. Thus:

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12}

b.) A is all element (number) is set A (circle A). Thus:

A = {1, 3, 4, 5, 6, 8}

c.) B is all element is set B (circle B). Thus:

B = {4, 5, 6, 7, 9, 11}

d.) C is all element is set C (circle C). Thus:

C = {6, 8, 9, 12}

e.) A ∪ B is all element is sets A and B (circles A and B). Thus:

A ∪ B = {1, 3, 4, 5, 6, 7, 8, 9, 11}

f.) A ∩ B is all element is sets A and B (circles A and B) have in common. Thus:

A ∩ B = {4, 5, 6}

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On solving the query we can say that The slant height, along with the function cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.

Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

You are informed that the cone in this scenario has a volume of 4.5 cubic inches. Using the aforementioned calculation, you can determine the radius if you know the cone's height.

Alternately, you may use the Pythagorean theorem to calculate for the radius if you know the cone's slant height. The slant height, along with the cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.

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Using the concept of similar triangles, the length of the other two sides of triangle B are: 20 cm and 25 cm

Similar triangles are  defined as triangles that possess the same shape, but then their sizes may very well vary. This means that, if two triangles are similar, then we can say that their corresponding angles are congruent and corresponding sides are in equal proportion.

Since the shortest side of triangle B is 10cm, it means that it corresponds to the shortest side of triangle A which is 8 cm.

Thus:

Ratio of corresponding sides of B:A = 10/8

Thus:

Second side of triangle B: (10/8) = (x/16)

x = 160/8

x = 20 cm

Third side of triangle B: 10/8 = y/20

y = 200/8

y = 25 cm

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Answer:

The answer is m = -1/2

Step-by-step explanation:

Answer:

$2.25

Step-by-step explanation:

Change

= $20 - total price of the items bought

Total price of bottled water

= 4($2.75)

= $11

Total price of fruit punch

= 5($1.35)

= $6.75

Change

= $20 -($11 +$6.75)

= $20 -$17.75

= $2.25

Answer:

Step-by-step explanation:

According to the triangle angle sum theorem, interior angles sum to 180 degrees:

Answer: Equal/same which is 77 degrees

Explanation: This is because if two of the angles of the triangles are same then the third angle will also be the same. This can be showed by a proof like:

You know that the sum of a triangle's angles are 180 degrees. So If you add 56+47 the remaining angle value is same for both triangle ABC and DEF. The remaining angle is 77 degrees.

Answer:

here ya go :)

Step-by-step explanation:

The probability that a gorilla in this particular zoo will live between 14.3 and 19.4 years is 86% (or 0.86)

From the Empirical Rule, for a Normal Distribution, approximately:

68% of the data falls within one standard deviation of the mean

95% of the data falls within two standard deviations of the mean

99.7% of the data falls within three standard deviations of the mean

To estimate the probability of a gorilla living between 14.3 and 19.4 years, we first need to standardize these values by subtracting the mean and dividing by the standard deviation:

For 14.3 years: (14.3 - 16) / 1.7 = -1.18

For 19.4 years: (19.4 - 16) / 1.7 = 2

Now we can use a standard normal distribution table to find the probabilities associated with these z-scores:

The probability of a gorilla living less than 14.3 years is approximately the same as the probability of a standard normal variable being less than -1.18, which is about 0.12.

The probability of a gorilla living less than 19.4 years is approximately the same as the probability of a standard normal variable being less than 2, which is about 0.98.

Therefore, the probability of a gorilla living between 14.3 and 19.4 years is approximately the difference between these two probabilities: 0.98 - 0.12 = 0.86.

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Answer:

250 miles

69 dollars

Step-by-step explanation:

Plan 1

44+.10m

Plan 2

49 +.08m

Set the two plans equal

44+.10m = 49 +.08m

Subtract .08m from each side

44+.10m - .08m = 49 +.08m-.08m

44+.02m = 49

Subtract 44 from each side

44 +.02m-44 = 49-44

.02m = 5

Divide each side by .02

.02m/.02 = 5/.02

m = 250

The cost is 44 +.10(250)

                  44 +25

                    69

Answer:

y = \(\frac{3}{4}\) x - \(\frac{9}{2}\)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, - 6) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line

m = \(\frac{-3-(-6)}{2-(-2)}\) = \(\frac{-3+6}{2+2}\) = \(\frac{3}{4}\) , then

y = \(\frac{3}{4}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (2, - 3 )

- 3 = \(\frac{3}{4}\) (2) + c = \(\frac{3}{2}\) + c ( subtract \(\frac{3}{2}\) from both sides )

- 3 - \(\frac{3}{2}\) + c , then

c = - \(\frac{9}{2}\)

y = \(\frac{3}{4}\) x - \(\frac{9}{2}\) ← equation of line

y = 14x +7

Step-by-step explanation:

-14x+y=7

+14x +14x

y=14x+7

Answer:

1/9 rise 1 run 9

Step-by-step explanation:

if you graph the y coordinate as 3 and find the x value, x value should be 0. Point (0,3) and (-9,2) and do rise over run

Answer:

Step-by-step explanation:

Answer:

100-77

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

3/7r + 5/8s when r = 14 and s = 8

3/7r + 5/8s

3/7(14) + 5/8 (8)

6 + 5 = 11

Answer:

A = -1

B = -3

Step-by-step explanation:

you need to do all the multiplication on both sides and then simply compare the factors of the various powers of x.

so,

-9x² - 9×A×x + 2 = 3×B×x² + 6x -Bx - 2 + 4

-9x² - 9×A×x + 2 = 3×B×x² + (6-B)x + 2

the x-less constants 2 = 2 are correct. now we need to compare the factors for the other parts of x.

we have left and right only one expression of x²

-9x² on the left

3×B×x² on the right

therefore,

-9 = 3×B

=> B = -3

otherwise the equation would not be correct for all values of x.

the only other parts remaining are

-9×A×x = (6-B)x = (6 - -3)x = (6+3)x = 9x

=>

-9×A = 9

-A = 1

A = -1

remember, all parts of the left and of the right side must be equal for the equation to be true in all cases.

Answer:

25 days

Step-by-step explanation:

6.50 x 8 = 52

52 ÷ 5 = 10.4

10.4 × 4 = 41.6

1040 ÷ 41.6 = 25

Answer:

105/4 ft^2

Step-by-step explanation:

Multiply length and width: 7*15/4 = 105/4 ft^2

Answer:

See the image for marked congruences.

1. JM ≅ LM                           |      Given

2. △JML is isosceles          |      definition of isosceles

3. ∠MJL ≅ ∠MLJ                  |       isosceles triangle theorem

4. m∠MJL = m∠MLJ             |      definition of ≅

5. JK ≅ LK                            |      Given

6. △JKL is isosceles           |      definition of isosceles

7. m∠KJL = m∠KLJ              |       isosceles triangle theorem

8. m∠MJL + m∠KJM = m∠KJL                         |  adjacent angle theorem

9. m∠MLJ + m∠KMJ = m∠KLJ                         |  adjacent angle theorem

10. m∠MJL + m∠KJM = m∠MLJ + m∠KLM      |   transitive property of =

11. m∠MJL + m∠KJM = m∠MJL + m∠KLM      |   substitution

12. m∠KJM = m∠KMJ          |        subtraction

13. ∠KJM ≅ ∠KLM                |        definition of ≅

14. △KJM ≅ △KLM             |        SAS theorem

15. ∠JKM ≅ ∠LKM                |        CPCTC

16. KM bisects ∠JKL            |        definition of bisector

Answer:

Step-by-step explanation:

The square root of 20 is √(2 * 2 * 5) which is 2√5  Not so

√5 does not terminate and there is no pattern to the decimal. √5 is irrational.

Neither one is correct.

When observing a performance or movement pattern, you should break down the complex skills into component parts.

Complex skills are skills that are composed of many parts. This makes it difficult  to engage in these sort of skills without a rigorous training.

Thus, when observing a performance or movement pattern, you should break down the complex skills into component parts.

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The change that she should get in return will be $39.85.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Audrey went shopping and bought two pairs of jeans for $16.95 each, a shirt for $16.75, and a belt for $9.50. If she paid for the purchases with a $100 bill.

Then the change that she should get will be given as,

Change = $100 - 2 × $16.95 - $16.75 - $9.50

Change = $100 - $33.90 - $16.75 - $9.50

Change = $100 - $60.15

Change = $39.85

The change that she should get in return will be $39.85.

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The insect measurement that was the most frequent is given as follows:

1 and 1/4 inches.

A dot plot is a simple graphical display that uses dots to represent data values. It is also sometimes called a dot chart or a scatterplot. In a dot plot, each data point is represented by a dot along a number line or axis, where the position of the dot corresponds to the value of the data point.

Hence, a dot plot shows the number of times that each observation appeared in the data-set.

The observation with the most dots is the observation 2/8 of the way between 1 and 2, hence the most frequent observation is given by the following mixed number:

1 and 2/8 = 1 and 1/4 inches.

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A function is a rule that for each input has at most one output.

Describe a function. A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

In mathematics, a function is a unique arrangement of the inputs (the domain) and their outputs (the codomain), where each input has exactly one output and the output can be traced back to the original input.

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The correlation coefficient between X and Y is Corr(X, Y) = 0.

To calculate the marginal distribution of X and Y, we need to integrate the joint probability density function (PDF) over the appropriate ranges.

a. Marginal distribution of X:

To find the marginal distribution of X, we integrate the joint PDF over the range of Y:

∫[0, 1] J(x, y) dy

Since the joint PDF is defined as J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1 and J(x, y) = 0 otherwise, the integral becomes:

∫[0, x] 1 dy = x, for 0 ≤ x ≤ 1

So, the marginal distribution of X is simply X(x) = x for 0 ≤ x ≤ 1.

b. Expectation of X:

The expectation (mean) of X can be calculated as the integral of x times the marginal PDF of X:

\(E(X) = ∫[0, 1] x * X(x) dx = ∫[0, 1] x^2 dx = [x^3/3] from 0 to 1 = 1/3\)

Therefore, the expectation of X is E(X) = 1/3.

c. Variance of X:

The variance of X can be calculated using the formula:

\(Var(X) = E(X^2) - (E(X))^2E(X^2) = ∫[0, 1] x^2 * X(x) dx = ∫[0, 1] x^3 dx = [x^4/4] from 0 to 1 = 1/4Var(X) = 1/4 - (1/3)^2 = 1/4 - 1/9 = 5/36\)

Therefore, the variance of X is Var(X) = 5/36.

d. Covariance of X and Y:

The covariance of X and Y can be calculated as:

Cov(X, Y) = E(XY) - E(X)E(Y)

Since the joint PDF J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1, the integral becomes:

\(E(XY) = ∫[0, 1] ∫[0, x] xy dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

\(E(X) = 1/3 (from part b)E(Y) = ∫[0, 1] ∫[0, x] y J(x, y) dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

Cov(X, Y) = 1/6 - (1/3)(1/6) = 0

Therefore, the covariance of X and Y is Cov(X, Y) = 0.

e. Correlation coefficient between X and Y:

The correlation coefficient can be calculated using the formula:

Corr(X, Y) = Cov(X, Y) / √(Var(X) * Var(Y))

Since the covariance of X and Y is 0, the correlation coefficient will also be 0.

Therefore, the correlation coefficient between X and Y is Corr(X, Y) = 0.

f. Conclusion based on the correlation coefficient:

The correlation coefficient of 0 indicates that there is no linear relationship between X and Y. In this case, the fraction of male runners (X) and the

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Answer:

a) (1,4), b) -1 and 3, c) 3

Step-by-step explanation:

a) coordinates of turning point are the peak of the graph. this occurs at (1,4),

b) f(x) = 0 means where the graph meets x-axis. it meets x-axis at x = -1 and x =3,

c) f(0) means where the graph crosses the y-axis. it crosses at y = 3

Answer:

okok so the anwser is 1+1

Step-by-step explanation:

1 and add another is 2

boom.

:)