(PLEASE HELP ME ASAP‼️‼️‼️)

Let's consider the triple integral of a function f(x, y, z):
∭f(x, y, z) dV
∫(∫(∫f(x, y, z) dx) dy) dz
These are the two orders for the given triple integral of the function f(x, y, z).

The triple integral_ e f(x, y, z) dv can be expressed as an iterated integral in the two orders dz dy dx and dx dy dz as follows:

First, let's express the integral in the order dz dy dx:

tripleintegral_e f(x, y, z) dv = ∫∫∫ f(x, y, z) dz dy dx

To evaluate this integral, we need to integrate with respect to z first, then y, and finally x. So, we have:

tripleintegral_e f(x, y, z) dv = ∫∫ [∫ f(x, y, z) dz] dy dx

= ∫∫ F(x, y) dy dx

where F(x, y) = ∫ f(x, y, z) dz.

Now, let's express the integral in the order dx dy dz:

tripleintegral_e f(x, y, z) dv = ∫∫∫ f(x, y, z) dx dy dz

To evaluate this integral, we need to integrate with respect to x first, then y, and finally z. So, we have:

tripleintegral_e f(x, y, z) dv = ∫ [∫∫ f(x, y, z) dx dy] dz

= ∫ G(z) dz

where G(z) = ∫∫ f(x, y, z) dx dy.

So, we have expressed the triple integral tripleintegral_e f(x, y, z) dv as an iterated integral in the two orders dz dy dx and dx dy dz. The first order is suitable when the function depends on z and is easier to integrate with respect to z. The second order is suitable when the function depends on x and y and is easier to integrate with respect to x and y.

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The length of the rectangular countertop is 6x - 4.

To find the length of the rectangular countertop, we have to substitute the given values in the formula for the area of the rectangle, which is A = l × w
12x² + 10x - 12 = (2x + 3) × l
6x² + 5x - 6 = 3x × l + 3 × l
6x² + 5x - 6 = 3lx + 3l
6x² + 5x - 6 = 3l(x + 1)
3l = (6x² + 5x - 6) / (x + 1)
3l = (6x² + 9x - 4x - 6) / (x + 1)
3l = 3(2x² + 3x - 2) / (x + 1)
l = (2x² + 3x - 2) / (x + 1)
l = [(2x - 1) (x + 2)] / (x + 1)
Therefore, the length of the rectangular countertop is 6x - 4.

Summary:
The formula for the area of the rectangle is A = l × w. We substitute the given values in the formula to find the length of the rectangular countertop. After simplifying the expression, the length of the rectangular countertop is found to be 6x - 4.

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Answer:

1/2

Step-by-step explanation:

Let the coordinate points be (6,3) and (4,2)

Slope = y2-y1/x2-x1

x1 = 6, y1 = 3, x2 = 4 and y2 =2

Substitute

slope = 2-3/4-6

Slope = -1/-2

Slope = 1/2

Hence the slope of the coordinate is 1/2

Note that the other Coordinate was assumed

Answer:

\(\displaystyle \frac{d^2y}{dx^2} = 2 \cos (x) - x \sin (x)\)

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)

Derivative Property [Addition/Subtraction]:                                                         \(\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]\)

Basic Power Rule:

Derivative Rule [Product Rule]:                                                                             \(\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)\)

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle y = x \sin (x)\)

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

4

Step-by-step explanation:

-1.5+3.5= 2

2+2=4

Answer:

4

Step-by-step explanation:

−1.5+3.5+2

=2+2

=4

i don't speak russian bro

I'm going to assume you just want answer three, sooooo

I'm in sixth grade and just finished this topic.

As you (probably) know, area is what is INSIDE the shape.

Perimeter is what the "border" is, so think of it as a border or an outline.

They already gave you the 2 1/2, so you can either do (options shown below) Also, since it is a square, you only add the four sides. (I guess that was pretty obvious)

2 1/2 + 2 1/2 + 2 1/2 + 2 1/2 (adding 2 1/2 four times)

OR

2 1/2 + 2 1/2 = 5 x 2 (adding 2 1/2 + 2 1/2, then multiplying by two.

OR

2 1/2 +2 1/2 = 5 + 5 (since you found out that 2 1/2 + 2 1/2 = 5, you can just add 5 + 5 since you would add the other two 2 1/2's anyway.)

Overall, the answer to number three is 10/Ten yards (don't forget the yards/ yds!)

Hope this helped. I have to finish my social studies homework now so I hope you do well!

An integer is any whole number, no fractions or decimals
Some examples are: 1, 6, -8, -4, 9

Answer:

a) down payment = $596

b) total amount of monthly payments = $2,760

c) total payment = $3,356

Step-by-step explanation:

a) original cost of sofa = $2,980

   down payment = 20%

   convert 20% to a decimal = 20/100 = 0.2

⇒ 20% of $2,980 = 0.2 x 2980 = 596

⇒ down payment = $596

b) 24 monthly payments of $115

⇒ total monthly payments = 24 x 115 = 2760

c) total payment = down payment + total monthly payments

⇒ total payment = 596 + 2760 = 3356

The estimated current total cost for the installed and insulated tank is $12,065.73.

The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:

surface_area = 2 * pi * r * h + 2 * pi * r^2

where:

r is the radius of the cylinder

h is the height of the cylinder

In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:

surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586

The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:

surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293

The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:

cost = 6.806032934459293 * (40 + 95) = $1,165.73

The original cost of the tank was $10,900, so the total cost of the insulated tank is:

cost = 10900 + 1165.73 = $12,065.73

Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.

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Answer:

ok there's no numbers, no equation, no nothing this cant even be solved...

Step-by-step explanation:

no.

The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

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Answer:

The complement of 46° = 44°

The supplement of 82° = 98°

Step-by-step explanation:

Complement means 90° - the angle (46°).

So, 90° - 46° = 44°

Supplement means 180° - the angle (82°)

So, 180° - 82° = 98°

The complement of 46° = 44°

The supplement of 82° = 98°

Complementary angles are two angles that have a sum of 90°.

Supplementary angles are two angles that have a sum of 180°.

According to the question

a. An angle measures 46°.

The measure of its complement :

The meaning of complementary angle is two angles that add up to 90 degrees.

Complementary angles = sum of two angles = 90 degrees.

x° = y° + z°

90° =  y° + z°

Given y° = 46°

z° = 90° -  y°

z° = 90° -  46°

z° = 44°

The measure of its complement is 44°.

b. An angle measures 82°.

The meaning of supplementary angle is two angles that add up to 180 degrees.

Supplementary angles = sum of two angles = 180 degrees.

a° = b° + c°

180° =  b° + c°

Given  b° =  82°

c° = 180° -  b°

z° = 180° -  82°

z° = 98°

The measure of its supplement is 98°.

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After solving, the reaminder is 1 if x^3-2x^2+X+1 is divided by x-1.

In the given question we have to find the remainder if x^3-2x^2+X+1 is divided by x-1.

The given equation is x^3-2x^2+X+1.

We have to divide this equation by x-1 to find the remainder.

To find the remainder we firstly find the value of x from x-1. Then we put the value of x in the given equation then we can easily find the remainder.

Putting the x-1 equla to zero, so

x=1

Now putting the value of x in the given equation.

=x^3-2x^2+X+1

=(1)^3-2(1)^2+1+1

=1-2+1+1

=1

Hence, the remainder is 1 if x^3-2x^2+X+1 is divided by x-1.

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Answer:

x = 2.5

Step-by-step explanation:

           y = -3x + 14   -----------(I)

3x - 5y = -25 -------------------(II)

Substitute y = -3x + 14 in equation (II),

             3x -5 ( -3x + 14) = -25

          3x  + 5 * 3x - 5*14 = -25

            3x  + 15x - 70      = -25    {Combine like terms}

                        18x - 70   = -25  

Add 70 to both sides,

                                 18x = -25 + 70

                                 18x = 45

Divide both sides by 18,

                                    x = 45 ÷ 18

                                   x = 2.5

Answer:

The value of x in the solution to the system of equations is x = 7.

Here's the explanation and verification:

Solve for X in the first equation:

Y = -3X + 14

X = (Y - 14) / -3

Substitute this expression for X into the second equation:

3X - 5Y = -25

3((Y - 14) / -3) - 5Y = -25

Simplify this expression:

Y + 42 / 3 + 5Y = -25

6Y + 42 / 3 = -25

Solve for Y:

6Y = -25 - 42 / 3

6Y = -25 - 14

6Y = -39

Y = -39 / 6

Y = -6.5

Substitute this value of Y back into the expression for X that you found in step 1:

X = (Y - 14) / -3

X = (-6.5 - 14) / -3

X = (-20.5) / -3

X = 6.83

Round the answer to the nearest integer, so X = 7.

Verification:

Now that you have found the values of X and Y, you can verify that they are a solution to the system of equations by plugging them back into the original equations and seeing if they make both sides equal.

Y = -3X + 14

Plug in X = 7 and Y = -6.5:

-6.5 = -3 * 7 + 14

-6.5 = -21 + 14

-6.5 = -7

3X - 5Y = -25

Plug in X = 7 and Y = -6.5:

3 * 7 - 5 * -6.5 = -25

21 + 32.5 = -25

53.5 = -25

Both equations evaluate to true, so X = 7 and Y = -6.5 is a solution to the system of equations.

Between Method A with a MAD(Mean Absolute Deviation) of 1.4 and Method B with a MAD (Mean Absolute Deviation) of 1.8, Method A performed better as it has a smaller MAD value.

To decide which estimating strategy performed the leading, we got to compare their Mean Absolute Deviation (Mad) values. Mad may be a degree of the average outright contrast between the genuine values and the forecasted values.

A little Mad esteem shows distant better; a much better; a higher; stronger; an improved" an improved forecasting accuracy, because it implies the forecasted values are closer to the real values.

Hence, between Strategy A with a Mad of 1.4 and Strategy B with a Mad of 1.8, Strategy A performed way better because it incorporates littler Mad esteem.

Be that as it may, it's vital to note that Mad alone does not allow a total picture of the determining execution. Other measurements, such as Mean Squared Blunder (MSE) or Mean Supreme Rate Blunder (MAPE) ought to too be considered to assess the exactness of the estimating strategies.

Furthermore, the setting and reason for the determining ought to too be taken under consideration when choosing the fitting estimating strategy. 

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Answer:

120 i think. sorry if its wrong.

Answer:

10 gallons

Step-by-step explanation:

If 60 gallons of water drains in 6 minutes, that means that to find the amount drained per minute, you would have to divide the number of gallons per minute. So 60 gallons÷6 minutes is 10 gallons per minute.

Answer:

37.3

Step-by-step explanation:

The length of EC shown in the diagram is 37.3.

"To understand the calculation, check below."

ΔBE -ΔAE= ΔAB

ΔAB=180°-148°

ΔAB=32°

ΔBE -ΔAB-ΔBC=ΔCD   (Congruent angles)

ΔCD  = 180-32-87

ΔCD  =62

EC=61+32

EC=93

L=93•2pi23/360

L=37.3

Therefore , EC=37.3

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Answer:

Is 50

Step-by-step explanation:

I don’t know

Answer:y equals 11

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(1)

Since FE = FG the triangle is isosceles with ∠ E = ∠ G, then

∠ E = \(\frac{180-106}{2}\) = \(\frac{74}{2}\) = 37°

(2)

Since all 3 sides are congruent then triangle is equilateral with the 3 angles being congruent, 60° each , then

12y = 60 ( divide both sides by 12 )

y = 5

(3)

The 3 angles are congruent then triangle is equilateral with the 3 sides being congruent, then

KL = JL , that is

4t - 8 = 2t + 1 ( subtract 2t from both sides )

2t - 8 = 1 ( add 8 to both sides )

2t = 9 ( divide both sides by 2 )

t = 4.5

(4)

Given ∠ B = ∠ C then triangle is isosceles with 2 legs being congruent , that is

AB = AC

4x + 1 = 9 ( subtract 1 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

Then

perimeter = AB + BC + AC = 4x + 1 + 2x + 3 + 9

                                            = 6x + 13

                                            = 6(2) + 13

                                            = 12 + 13

                                            = 25

Answer:

full

Step-by-step explanation:

screen

Answer:

220 automóviles

Step-by-step explanation:

Aquí, queremos saber la cantidad de autos que ingresarán al garaje cuando esté completamente ocupado.

De la pregunta, nos dicen que hay 3 pisos. Para el 1er piso, hay 5 filas de 20 lugares.

El número total de autos que pueden estar en esto será 5 * 20 = 100 autos.

Para el segundo y tercer piso, tenemos 4 filas de 15 cada una.

El número total de autos aquí será 2 (15 * 4) = 2 * 60 = 120 autos

El número total de automóviles cuando está completamente ocupado es, por tanto, = 100 + 120 = 220 automóviles

Answer: D

Step-by-step explanation:

y = 16x^2 + 9x + 4

This function is non-linear because it is not in the form of line equation y = mx + b where m is the slope of the line and b is the y-intercept

Also, this equation consists of a term that is squared (-16x^2) so it is non-linear.

Therefore, option (D) This function is non-linear is correct

Answer:

\(12m\)

Step-by-step explanation:

we are given a circle equation

\( \displaystyle (x - 7 {)}^{2} + (y - 6 {)}^{2} = 36\)

since it's a circle equation where 36 is the square of the redious we can figure out redious by solving the following equation

\( \displaystyle {r}^{2} = 36\)

square root both sides:

\( \displaystyle {r}^{} = 6\)

remember that,

\(\displaystyle d = 2r\)

thus substitute the value of r:

\(\displaystyle d = 2.6\)

simplify multiplication:

\(\displaystyle d = 12\)

hence,

the diameter of the Ferris Wheel is 12m

The estimated age of the archaeological sample  as calculated from the given data is  = 2622.58333 years

Half life given is 5730

t₆.₅ = Ln2/k

k= ln 2/ 5730

The rate constant ,

k = 0.00012 year⁻¹

Given that 73 % of the 14C remains

then |A1|/|A2|  = 0.73

As we know ,

|A1|/|A2| = e ⁻₍kt₎

Hence, on solving the equation we get ,

ln(0.73)= -0.00012t

t = -0.31471/ -0.00012

 = 2622.58333 years

Half-life (symbol t½) is the time required for a quantity (of substance) to reduce to half of its initial value. The term is commonly used in nuclear physics to describe how quickly unstable atoms undergo radioactive decay or how long stable atoms survive. The term is also used more generally to characterize any type of exponential (or, rarely, non-exponential) decay.

For example, the medical sciences refer to the biological half-life of drugs and other chemicals in the human body. The converse of half-life (in exponential growth) is doubling time.

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Given the polynomial below

The above is:

1) A degree 5 polynomial i.e the highest power of the given polynomial is 5 which represents the degree.

2) It has 5 terms

3) The constant term is -1

4) The leading term is

5) The leading is -1/9

Hence, the expression represents a degree 5 polynomial with 5 terms. The constant term is -1, the leading term is -x⁵/9, and the leading coefficient is -1/9

Based on the given probabilities:

Events A and B are independent.

Events B and C are mutually exclusive.

Events C and A are independent.

To determine whether pairs of events are independent or mutually exclusive, we need to analyze their conditional probabilities.

Pair A and B:

P(A) = 0.26, P(B) = 0.5, and P(A|B) = 0.26. The fact that P(A|B) is equal to P(A) suggests that events A and B are independent. This means that knowing the occurrence of event B does not affect the probability of event A.

Pair B and C:

P(B) = 0.5, P(C) = 0.45, and P(B|C) = 0. The fact that P(B|C) is equal to 0 implies that events B and C are mutually exclusive. This means that if event C occurs, event B cannot occur, and vice versa.

Pair C and A:

P(C) = 0.45, P(A) = 0.26, and P(C|A) = 0.26. The fact that P(C|A) is equal to P(C) suggests that events C and A are independent.

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Complete question is:

Given the following information about events A, B, and C, determine which pairs of events, if any, are independent and which pairs are mutually exclusive.

P(A)= 0.26

P(B)= 0.5

P(C)= 0.45

P(A|B)= 0.26

P(B|C)=0

P(C|A)=0.26

Answer:

a)

Step-by-step explanation:

I am 100% sure it's the answer

Answer:

Step-by-step explanation:

using S\(\frac{o}{h}\) C\(\frac{a}{h}\) T\(\frac{o}{a}\) (sin opposite/hypotenuse, cos adjacent/hypotenuse, tan opposite/adjacent)

Tan Y = 3/8

Tan Z = 8/3

hope this helps <3

Answer:

0.11 centimeters/minute

Answer:

i think 100 because its divisible by 2