Evaluate the double integral of the function over the region. 1L 4x2 dA where D is the region in the first quadrant bounded by y 7x and y -x3

The answer is

4^2 ^2

Answer:

X^2-4

Step-by-step explanation:

hope this helps

The correct answer is (C) I and III only. A and C are not independent events. Statement III is true since the probability of the occurrence of either B or C is the sum of their individual probabilities.

In this scenario, since the outcomes A, B, and C are mutually exclusive, they cannot be independent. Independent events are those where the occurrence or non-occurrence of one event does not affect the probabilities of the other events. Therefore, statement I, which states that A and C are independent, is false.

On the other hand, statement II states that P(A and B) = 0. Since A and B are mutually exclusive outcomes, they cannot occur simultaneously. Therefore, the probability of both A and B occurring together is indeed zero. Hence, statement II is true.

Statement III states that P(B or C) = P(B) + P(C). Since A, B, and C are mutually exclusive, the probability of either B or C occurring is the sum of their individual probabilities. Therefore, statement III is true.

In summary, the correct choices are I and III only. A and C are not independent events, as stated in statement I. However, statement II is true because P(A and B) is indeed 0 for mutually exclusive outcomes. Finally, statement III is also true since the probability of the occurrence of either B or C is the sum of their individual probabilities.

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Answer:

C2 gin baby keep it up yesyesyes

Answer:

x = 80

Step-by-step explanation:

4x - 8 = 3x + 72

4x - 3x = 72 + 8

x = 80

A measurement scale in which respondents are asked to rank items based on their preferences is called an ordinal scale, not a nominal scale. the answer is False.

A statement is a declarative sentence that expresses a complete thought or idea and can be either true or false. In other words, a statement is an assertion or a claim that can be evaluated based on its factual accuracy or logical validity.

False.

A measurement scale in which respondents are asked to rank items based on their preferences is not a nominal scale. It is called an ordinal scale.

Nominal scales are used to categorize data into groups or classes based on their attributes or characteristics, such as gender, race, or color. In nominal scales, the categories do not have an inherent order or ranking.

Therefore, A measurement scale in which respondents are asked to rank items based on their preferences is called an ordinal scale, not a nominal scale. the answer is False.

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43³/₄% can be expressed as a decimal to give 43.75%, which can be pronounced as forty-three point seventy-five percent.

A decimal value is a number that contains a whole and a fractional part.

Mathematically, decimal values are expressed using the decimal sign (.).

43³/₄%, which is a fractional value that can be changed into a decimal value thus:

= 43% + ³/₄%

= 43% + 0.75%

= 43.75%

Thus, 43³/₄%, which is forty-three-three-fourth percent, can be expressed as a decimal to give 43.75%.

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If a person is making a minimum salary for a construction worker, in that case, they will make more than 75% of the teachers.

A salary is a form of periodic fee from a corporation to a worker, which can be laid out in an employment contract. it is contrasted with piece wages, in which every task, hour, or other unit is paid one after the other, in place of on a periodic foundation. From the factor of view of going for walks in a commercial enterprise, revenue can also be considered as the fee of obtaining and keeping human sources for jogging operations and is then termed personnel fee or salary cost. Payroll accounts are used in accounting to record.

Salary is a hard and fast amount of cash or compensation paid to a worker via an enterprise in return for work executed. salary is generally paid in fixed durations, for example, monthly bills of 1-twelfth of the annual salary.

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Answer:

12

Step-by-step explanation:

3s ≥36

divide both side by 3

s ≥ 12

and if you were to graph it, closed circle on 12 going towards bigger numbers, since s is greater than or equal to 12

The estimate of the area under the graph of f(x) = 1/(x+4) over the interval [3,5] using eight approximating rectangles and right endpoints is R8 = 0.117. Using left endpoints, the estimate is L8 = 0.122.

To estimate the area under the graph of f(x) using rectangles, we divide the interval [3,5] into subintervals and choose the height of each rectangle based on either the right or left endpoint of the subinterval.

Using right endpoints, we divide the interval [3,5] into eight subintervals of equal width: [3, 3.25, 3.5, 3.75, 4, 4.25, 4.5, 4.75, 5]. The width of each subinterval is Δx = (5 - 3)/8 = 0.25. We evaluate the function at the right endpoint of each subinterval and calculate the area of each rectangle. Adding up the areas of all eight rectangles gives us the estimate R8.

Similarly, using left endpoints, we evaluate the function at the left endpoint of each subinterval and calculate the area of each rectangle. Adding up the areas of all eight rectangles gives us the estimate L8.

By performing the calculations, we find that R8 = 0.117 and L8 = 0.122.

Therefore, the estimate of the area under the graph of f(x) over the interval [3,5] using eight approximating rectangles and right endpoints is R8 = 0.117, and using left endpoints is L8 = 0.122.

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The length of the hypotenuse is 13 cm.

Let's denote the shorter leg of the right triangle as "x" cm.

According to the given information, the longer leg is 7 cm more than the shorter leg, so its length is "x + 7" cm.

The hypotenuse is 3 cm more than twice the length of the shorter leg, so its length is "2x + 3" cm.

Using the Pythagorean theorem, we can set up the equation:

(shorter leg)^2 + (longer leg)^2 = (hypotenuse)^2

Plugging in the values:

x^2 + (x + 7)^2 = (2x + 3)^2

Expanding and simplifying:

x^2 + x^2 + 14x + 49 = 4x^2 + 12x + 9

Rearranging and simplifying further:

0 = 2x^2 - 2x - 40

Dividing both sides by 2:

x^2 - x - 20 = 0

Factoring the quadratic equation:

(x - 5)(x + 4) = 0

Setting each factor equal to zero:

x - 5 = 0 or x + 4 = 0

Solving for x:

x = 5 or x = -4

Since the length of a side cannot be negative, we discard the solution x = -4.

Therefore, the shorter leg of the right triangle is 5 cm.

To find the length of the hypotenuse, we substitute the value of x into the equation for the hypotenuse:

hypotenuse = 2x + 3 = 2(5) + 3 = 10 + 3 = 13 cm

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Answer:

b

Step-by-step explanation:

denominator(5) stays the same

multiply 2 by 4 since that is 1 fourth of an hour.

So now its 8/5

5 goes into 8 1 time with 3 leftover

So the 1 is a whole number now

the leftover fraction 3/5

=1  3/5

Answer:

6 members are new

Explanation:

change twenty four percent into a decimal and multiply by total value

0.24•25= 6

and that gives you your answer, 24% of 25 is 6 so there's six new members

hope this helps have a great day luv <3

Answer:

\(\theta = 0, \frac{\pi}{2}, \pi,...\)

Step-by-step explanation:

\(sin\theta + cos \theta = 1 \\\\squaring both the sides\\\\sin^{2}\theta + cos^{2}\theta+2 sin\theta cos\theta = 1 \\\\2sin\theta cos\theta = 0 \\\\sin2\theta = 0\\\\2\theta = 0, \pi, 2 \pi,....\\\\\theta = 0, \frac{\pi}{2}, \pi,...\)

This is the correct solution.

Answer:

-3y + 1

Step-by-step explanation:

(10y + 1) - 13y

(add paretheses first, if possible)

(not possible so move on)

(add like terms)(10y and -13y)

-3y + 1

Answer:

-3y + 1

Step-by-step explanation:

Don't let the parenthesis confuse you, you olny distribute if there are no signs separating them.

(10y + 1) - 13y  (Goodbye parenthesis)

10y + 1 - 13y (Given)

-3y + 1 (combine like terms)

Ace Carlos

Answer:

y = -1x

gradient = -1

rise/run= +10-20/-10+20

            = -10/10

            = -1

y intercept is 0 as line is passing through 0 on y axis

For verification:

input any pair of x and y values in y = mx + b

10=-1(-10)+b

10=10+b

b= 10-10

b=0

Equation:

y = -1x

Answer:

-729

Step-by-step explanation:

-9 × (-9) × (-9) =

= 81 × (-9)

= -729

Answer:

D = 36

Step-by-step explanation:

73 + 35 = 108. 108 / 3 = 36. Brainliest pls

It will be more cost-effective for a customer to purchase the first plan after 300 long distance minutes.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical phrase with two equal sides and an equal sign is called an equation. An example of an equation is 4 + 6 = 10. Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" symbol and terms on both sides must always be present when writing an equation. Equal treatment should be given to each party.

Here,

Let x be the minutes of long distance calling.

y = 25 + 0x

y= 25

y = 10 + 0.05x

25=10+0.05x

15=0.05x

x=15/0.05

x=300 minutes

After 300 minutes of long distance calls will it be cheaper for a customer to purchase the first plan.

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Answer:

x = 1.36

Step-by-step explanation:

5(x - 2 2/5) = -5.2

5(x - 12/5 ) = - 5.2

(x - 12/5) = -5.2 / 5

x - 12/5 = - 1..04

x = -1.04 + 12/5

x = (- 5.20 +12) /5

x = 6.80 / 5

x = 1.36

The approximate circumference of Spaceship Earth is approximately 138.02 meters.

A circle's perimeter is known as its circumference. It is the circumference of the circle as a whole. A circle's circumference is calculated by multiplying its diameter by the constant. This measurement of a circle's diameter is necessary for someone crossing a circular park or for enclosing a circle. The units for the circumference, which is a linear variable, are the same as those for length.

The volume of the sphere is given as:

V = (4/3)πr³

Substituting the values:

\(r = (3(65,417)/4(3.14))^{(1/3)} = 21.96 meters\)

The circumference of the circle is:

C = 2πr

Substituting the value of r:

C = 2(3.14)(21.96) = 138.02 meters

Hence, the approximate circumference of Spaceship Earth is approximately 138.02 meters.

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Answer:

x^2 +3x- 18=0

x^2 +6x -3x - 18 =0

x( x+6) - 3(x +6) =0

(x-3) + ( x+6) =0

therefore, x= -6,3

Answer:

£562.43

Step-by-step explanation:

£500 is invested for 3 years at a rate of compound interest of 4% per annum how much will be in the account after three years

Given data

P= £500

t= 3 years

r= 4%

The expression for the compound interest is given as

A= P(1+r)^t

substitute

A= 500(1+0.04)^3

A= 500(1.04)^3

A= 500*1.124864

A= 562.432

Hence the final amount is £562.43

There is a significant relationship between the number of cats she owns and the number of times an old widow was married (r = +0.91, p < 0.05, r² = 0.82).

Given, the Pearson correlation coefficient of +0.91,

There appears to be a strong +ve correlation between the number of cats she owns and the number of times an old widow was married.

It suggests that the more times a widow was married,the more cats she tends to own.

Approximately 82% of the variance in the number of cats owned can be explained by the number of times a widow was married is indicated by the coefficient of determination (r²).

Hence, we can say that there is a significant relationship between the number of cats she owns and the number of times an old widow was married (r = +0.91, p < 0.05, r² = 0.82).

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The property that was used to get each step include the following:

Statement                                                      Reason

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)                Given

4.5(8 - x) = 66 - 2.5(3x + 24)                  Distributive property

36 - 4.5x = 66 - 7.5x - 60                       Associative property

36 - 4.5x = -7.5x + 6                             Subtraction property of equality.

36 + 3x = 6                                           Additive property of equality.

3x = -30                                                Subtraction property of equality.

x = -10                                                    Division property of equality

The subtraction property of equality states that the two (2) sides of an algebraic expression or equation would still remain equal even when the same number has been subtracted from both sides of an equality.

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Complete Question:

Justify each step of the solution by starting the property that was used to get each step.

Statement                                                      Reason

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)                Given

4.5(8 - x) = 66 - 2.5(3x + 24)                  

36 - 4.5x = 66 - 7.5x - 60                      

36 - 4.5x = -7.5x + 6                            

36 + 3x = 6                                          

3x = -30                                                

x = -10

Answer:

5 in. the answer lies in the Pythagorean theorem

Answer:

5

Step-by-step explanation:

using Pythagorean theorem:

\(a^2+b^2=c^2\)

a and b are sides

c is the hypotenuse

in this case we need a side:

\(a^2+12^2=13^2\\a^2 + 144 = 169\\\)

subtract 144 from 169

\(a^2=25\\\sqrt{a} ^{2} = \sqrt{25}\)

so a = 5

THE ANSWER IS 5 :)

Answer:

Hello! answer: x = 68

Step-by-step explanation:

This is a complementary angle meaning it will add up to 90 degrees 90 - 22 = 68 therefore x = 68 HOPE THAT HELPS!

The derivative of the equation 2y³ + xy - 6x + 3 at the point (1,1) is 0, and the second derivative is 13.

The derivative of y with respect to x can be calculated by differentiating both sides of the equation with respect to x. This gives us:

\(\frac{dy}{dx} = \frac{x}{2y^2} - 5\)

We can evaluate dy/dx at the point (1, 1) by substituting x = 1 and y = 1 into the equation for dy/dx and calculating the result. This gives us:

\(\frac{dy}{dx} = \frac{1}{2} - 6 = -5.5\)

The second derivative of y with respect to x can be calculated by differentiating both sides of the equation with respect to x twice. This gives us:

\(\frac{d^2y}{dx^2} = -\frac{1}{2y^3}\)

We can evaluate d2y/dx2 at the point (1, 1) by substituting x = 1 and y = 1 into the equation for d2y/dx2 and calculating the result. This gives us:

\(\frac{d^2y}{dx^2} = -\frac{1}{2} = -0.5\)

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