Determine the equations of the elastic curve for the beam using the x1 and x2 coordinates. ei is constant.

The derivative of the given function \(\frac{(2x^2-x+6)^{2/3}}{2x^{-2}-2x+9}\) is \(\frac{\frac{2}{3}(2x^2-x+6)^{-1/3})(4x-1)(2x^{-2}-2x+9)+(2x^2-x+6)^{2/3})(4x^{-3}+2)}{(2x^{-2}-2x+9)^2}\).

We have to find the derivative for the given function.

Calculus and differential equations issues must be solved using derivatives. Futures contracts, options contracts, and credit default swaps are common types of derivatives.

The given function is

f(x) = \(\frac{(2x^2-x+6)^{2/3}}{2x^{-2}-2x+9}\) = h(x)/g(x)

Note that using the formula

(1) d/dx(f/g) = {gd/dx(f)-fd/dx(g)}/g^2

(2) d/dx(x^n) = nx^{n-1}

f'(x) = d/dx \(\frac{(2x^2-x+6)^{2/3}}{2x^{-2}-2x+9}\)

f'(x) = \(\frac{(2x^{-2}-2x+9)\frac{d}{dx}(2x^2-x+6)^{2/3})-(2x^2-x+6)^{2/3})\frac{d}{dx}(2x^{-2}-2x+9)}{(2x^{-2}-2x+9)^2}\)

f'(x) = \(\frac{(2x^{-2}-2x+9)\frac{2}{3}(2x^2-x+6)^{2/3-1})\frac{d}{dx}(2x^2-x+6)-(2x^2-x+6)^{2/3})(2(-2)x^{-3}-2)}{(2x^{-2}-2x+9)^2}\)

f'(x) = \(\frac{(2x^{-2}-2x+9)\frac{2}{3}(2x^2-x+6)^{2/3-1})(4x-1)+(2x^2-x+6)^{2/3})(4x^{-3}+2)}{(2x^{-2}-2x+9)^2}\)

f'(x) = \(\frac{\frac{2}{3}(2x^2-x+6)^{-1/3})(4x-1)(2x^{-2}-2x+9)+(2x^2-x+6)^{2/3})(4x^{-3}+2)}{(2x^{-2}-2x+9)^2}\)

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The right question is:

Find the derivative for the given function. Write your answer using positive and negative exponents and fractional exponents instead of radicals.

f(x) = \(\frac{(2x^2-x+6)^{2/3}}{2x^{-2}-2x+9}\)

Answer:

C

Step-by-step explanation:

She earns $3,567 and spends $2,895.  That means that $2,895 is taken away from how much she earns each month.  Subtraction is the correct operation, cancelling out choices B and D

$3,567 - $2,895

Now, you need to figure out the answer to the above problem.  Choice C is your answer.

$3,567 - $2,895 = $672

Hi!

I can help you with joy! :)

Let's solve this equation to find the value of k.

0-k=-4

-k=4-0

-k=4

Divide both sides by -1:

k=-4 (Answer)

I hope it helps!

Enjoy your day!

~Misty~

\(\bf{GracefulGirlies\)

\(\bold{Heya~!}\)

\(\underline{\large\huge{\mathfrak{Answer~:}}}}\)

\(\sf{k~=~4}\)

\(\huge{\boxed {\mathfrak{explanation:}}\)

\(\sf{0~-~k~=~-4}\)

\(\sf{0~-~k~=~-k}\)

\(\sf{-k~=~-4}\)

\(\sf{Divide~both~sides~by~-1}\)

\(\sf{\frac{-k}{-1}~=~\frac{-4}{-1}\)

\(\sf{Simplify:}\)

\(\sf{k~=~4}\)

Hope It Helps ! ~

#LearnWithBrainly

\(\underline{Answer~:}\)

Jace ~

The number with a subscript of 12 or number base 12 that is equal to 888₉ + 555₆ + 222₂ is 689.

Using the number base conversion system,  the sum of the given numbers in base ten is determined as follows:

888₉ + 555₆ + 222₂ = X₁₂

888₉ = 8 * 9² + 8 * 9¹ + 8 * 9⁰

888₉ = 728

555₆ = 5 * 6² + 5 * 6¹+ 5 * 6⁰

555₆ = 215

222₃ = 2 * 3² + 2 * 3¹ + 2 * 3⁰

222₃ = 26

888₉ + 555₆ + 222₂ = 728 + 215 + 26

888₉ + 555₆ + 222₂ = 969

969 = X₁₂

969 = 689₁₂

Hence, X = 689

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Answer:

Step-by-step explanation:

Let the width of the margins as x.

So, we subtract 'x' width on each side of the paper.

So, length = 26-x-x= 26-2 x

Width = 27-x-x=27-2 x

Now, it is given printed area is 360

We can set up equation using length x width = Area

(26-2 x)(27-2 x) = 360

Multiply the left side using FOIL method,

702 -52  x-54 x+4 x^2 =360

Combine like terms

702-106x+4x^2=360

Subtract both sides 360

4x^2-106x+342 =0

Let's divide both sides by 2 to simplify

2x^2 -53x+171=0

Let's use quadratic formula to solve.

I'll upload the file for this.

There are two possible values for x.

Approximately x= 22.46 , x=3.76

Here x=3.76 works b

Answer:

198.5 cm²

Step-by-step explanation:

The figure is composed of a central rectangle and 2 congruent semi- circular ends, equivalent to 1 circle with diameter = 10 cm, thus radius of 5 cm

length of rectangle = 22 - 5 - 5 = 12 cm, thus

area of rectangle = 10 × 12 = 120 cm²

area of circle = πr² = π × 5² = 25π ≈ 78.5 cm² ( to 1 dec. place )

Total area = 120 + 78.5 = 198.5 cm²

To find the work done in pumping the entire contents of the fuel tank into the tractor, we need to calculate the potential energy difference between the initial position of the gasoline in the truck's tank and its final position in the tractor's tank.

Given:

- Diameter of the cylindrical gasoline tank: 4 feet

- Length of the cylindrical gasoline tank: 5 feet

- Opening on the tractor tank is 5 feet above the top of the tank in the truck

First, let's calculate the volume of the cylindrical gasoline tank using the formula for the volume of a cylinder:

Volume = π * (radius^2) * height

The radius of the tank is half the diameter, so the radius is 4 feet / 2 = 2 feet.

Volume = π * (2^2) * 5 = 20π cubic feet

Since the entire contents of the fuel tank need to be pumped, the volume of gasoline to be pumped is 20π cubic feet.

To calculate the work done in pumping the gasoline, we need to find the vertical height through which the gasoline is lifted. This height is the sum of the height of the tank and the distance between the top of the tank and the opening on the tractor tank.

Height = 5 feet + 5 feet = 10 feet

The work done in pumping the gasoline can be calculated using the formula:

Work = Force × Distance

In this case, the force is the weight of the gasoline, and the distance is the height through which it is lifted. To calculate the weight of the gasoline, we need to know the density of gasoline. The density of gasoline can vary, but an average value is around 6.3 pounds per gallon.

Let's convert the volume of gasoline from cubic feet to gallons:

1 cubic foot = 7.48052 gallons (approximately)

Volume in gallons = 20π * 7.48052 ≈ 149.61π gallons

Weight of gasoline = Volume in gallons * Density of gasoline

Assuming the density of gasoline as 6.3 pounds per gallon:

Weight of gasoline = 149.61π * 6.3 ≈ 940.06π pounds

Finally, we can calculate the work done:

Work = Weight of gasoline * Height

Work = 940.06π * 10 ≈ 9400.6π foot-pounds

Therefore, the work done in pumping the entire contents of the fuel tank into the tractor is approximately 9400.6π foot-pounds.

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The value of variable x that makes -4x-(-10 - 8x) = -(12x-14) true is 1/4. thus, option c is correct.

An equation's unknown numerical value is represented by a symbol (typically a letter) called a variable in algebra. X and Y, which are real-number unknowns, as well as z, which are complex-number unknowns, as well as t, r, and s are frequently used variables (arc length).

Given

-4x-(-10 - 8x) = -(12x-14)

-4x + 10 + 8x = -12x + 14

4x + 10 = 14 - 12x

4x + 12x = 14 - 10

16x = 4

x = 4/16

x = 1/4

Thus, Option C is correct, x = 1/4

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If sentence 6 states that ¬C is true, and sentence 7 presents a conditional statement with C as the antecedent and Q as the consequent, we can use modus ponens to infer that Q is false.

Modus ponens is a deductive reasoning rule that allows us to derive a conclusion from a conditional statement and its antecedent. Therefore, we can apply modus ponens to sentence 7 given that we know ¬C from sentence 6.
Since from sentence 6 we know ¬C, we can apply modus ponens to sentence 7. To do this, follow these steps:
1. Identify the premises: One premise is sentence 6, which states ¬C. The other premise should be a conditional statement, such as "If ¬C, then P" (replace P with the relevant proposition).
2. Apply modus ponens: Modus ponens is a rule of inference that allows us to deduce a conclusion from the given premises. If we have the premises "If ¬C, then P" and "¬C", we can conclude "P" using modus ponens.
3. State the conclusion: After applying modus ponens, we can conclude "P" based on the given premises, which include sentence 6 (¬C) and the conditional statement.

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Answer:

13.3=c

Step-by-step explanation:

The hypotenuse can be found with the equation \(a^2+b^2=c^2\).  For this problem, let

a=8.3

b=10.4

So,

\((8.3)^2+(10.4)^2=c^2\\177.05=c^2\\\sqrt{177.05}=\sqrt{c^2}\\13.31=c\)

Answer:

Step-by-step explanation:

The range of feasible values for the multiple coefficients of correlation is from -1 to 1.

The multiple coefficients of correlation, also known as the multiple R or R-squared, measures the strength and direction of the linear relationship between a dependent variable and multiple independent variables in a regression model. It quantifies the proportion of the variance in the dependent variable that is explained by the independent variables.

The multiple coefficients of correlation can take values between -1 and 1.

A value of 1 indicates a perfect positive linear relationship, meaning that all the data points fall exactly on a straight line with a positive slope.

A value of -1 indicates a perfect negative linear relationship, meaning that all the data points fall exactly on a straight line with a negative slope.

A value of 0 indicates no linear relationship between the variables.

Values between -1 and 1 indicate varying degrees of linear relationship, with values closer to -1 or 1 indicating a stronger relationship. The sign of the multiple coefficients of correlation indicates the direction of the relationship (positive or negative), while the absolute value represents the strength.

The range from -1 to 1 ensures that the multiple coefficients of correlation remain bounded and interpretable as a measure of linear relationship strength.

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Answer:

Interrater reliability between the two data collectors was high

Step-by-step explanation:

Explanation-

The probability of Mark going out on exactly one weeknight is 10/21.

If Mark goes out twice a week, there are 21 possible combinations . Out of these all combinations which include saturday or suday so total 6 combination includes sunday and 5 combination includes saturday.

so in total 11 combination are not weeknight so total 21-11 =10 combination are weeknights and only  1 combination are there where both are not weeknight which is staurday and sunday so total possible combination is 21-1 = 20 so total combination which have exactly one weeknight is 11-1 = 10

so the probability is 10/21 that exactly one weeknight.

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Answer: 12.5

Step-by-step explanation:

Answer: x=12y+6/5

Let's solve for x.

y=5/12x − 1/2

Step 1: Flip the equation.

5/12x + −1/2 =y

Step 2: Add 1/2 to both sides.

5/12x + −1/2 + 1/2 = y + 1/2

5/12x = y + 1/2

Step 3: Divide both sides by 5/12.

5/12x 5/12 = y + 1/2/5/12

x=12y + 6/5

F(5) means replace x with 5 then solve:

3x-4 = 3(5)-4 = 15-4 = 11

F(5) = 11

The median of the triangle is a segment that runs from the vertex of a triangle to the midpoint of the opposing side.

A median is a line segment that extends from a vertex of a triangle to the midpoint of the opposite side. The centroid has several interesting properties. It is always located inside the triangle, and it divides each median into two segments in a 2:1 ratio.  Additionally, the centroid is the center of mass of the triangle, meaning that if the triangle were a physical object with uniform density, it would balance perfectly on the centroid. The centroid is also equidistant from the three vertices of the triangle.

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Answer: 26 minutes

Step-by-step explanation:

Assume that the total time spent in the morning which includes getting dressed, eating breakfast, making her bed, and driving to work is x.

Time getting dressed = ¹/₃x

Eating breakfast = 10 mins

Making bed = 5 mins

¹/₃x + 10 + 5 = 35 ½

¹/₃x + 15 = 35 ½

¹/₃x = 35 ½ - 15

¹/₃x = 20 ½

x = 20 ½ / ¹/₃

= 61.5 minutes

Total morning routine is is 61.5 mins

Time taken to drive to work is;

= 61.5 - 35 ½

= 26 minutes

Answer: 5

Step-by-step explanation:

Answer:

Fish

Step-by-step explanation

all i know is that this is a puzzle so i will choose fish when it comes to mirror reflection

The taylor polynomials of degree n approximating 1/(2-2x) for x near 0 is P7(x)=(1/2)+(1/2)x+(1/2)x2+(1/2)x3+(1/2)x4+(1/2)x5+(1/2)x6+(1/2)x7

What is taylor polynomials?

An infinite sum of terms stated in terms of the function's derivatives at a single point is referred to as a Taylor series or Taylor expansion of a function. Near this point, the function and the sum of its Taylor series are equivalent for the majority of common functions. If the functional values and derivatives are identified at a single point, the Taylor series is used to calculate the value of the entire function at each point.

P(x)=1/(2-2x)

=(1/2)(1/(1-x))

=(1/2)(1+x+x2+x3+x4+x5+x6+x7+x8+.....)

for n =3 ,P3(x)=(1/2)+(1/2)x+(1/2)x2+(1/2)x3

for n =5 ,P5(x)=(1/2)+(1/2)x+(1/2)x2+(1/2)x3+(1/2)x4+(1/2)x5

for n =7 ,P7(x)=(1/2)+(1/2)x+(1/2)x2+(1/2)x3+(1/2)x4+(1/2)x5+(1/2)x6+(1/2)x7

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Answer:

58240

Step-by-step explanation:

from 1,425 to get to 45,600 you multiply it by 32

1,820 times 32 is 58240

Answer:

Step-by-step explanation:

C

Answer:

  A

Step-by-step explanation:

You want to know which ball weighs 30 g if balls A, B, C, D, E weigh 30, 50, 50, 50, 80 grams.

The given information does not say what the correspondence is between weights and ball designators. If we assume the given order is the same for designators as for weights, then the first letter corresponds to the first weight, and ...

  Ball A weighs 30 g.

__

Additional comment

If there's more to the question, you'd have to use that additional information to decide.

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Answer:

Guido tiene 9 años, Andrés tiene 36 años y David tiene 3 años.

Step-by-step explanation:

Con la información proporcionada, sabes que la edad de los tres suma 48, lo que se puede expresar como:

x+y+z=48, donde:

x es la edad de Guido

y es la edad de Andrés

z es la edad de David

Además, de acuerdo al enunciado puedes decir que la edad del papá Andrés es cuatro veces la edad de Guido y que la edad de David es la tercera parte de la edad de Guido y puedes escribir las siguientes ecuaciones:

y=4x

z=x/3

Ahora puedes reemplazar estas dos ecuaciones en la primera y despejar x:

x+4x+x/3=48

5x+x/3=48

16x/3=48

16x=48*3

16x=144

x=144/16

x=9

Después, puedes reemplazar el valor de x en y=4x para encontrar el valor de y:

y=4x

y=4*(9)

y=36

Finalmente, debes reemplazar el valor de x en z=x/3 para encontrar el valor de z:

z=x/3

z=9/3

z=3

De acuerdo a esto, Guido tiene 9 años, Andrés tiene 36 años y David tiene 3 años.