The equation of the elastic curve for the beam between x1 and x2 is\(y(x) = w(x - x1)^2(x - x2)^2/24EI.\)
Determine the equations of the elastic curve for the beam using the x1 and x2 coordinates. EI is constant.
To determine the equations of the elastic curve for a beam, we need to use the differential equation of the deflection curve, which relates the bending moment, the shear force, and the distributed load to the deflection of the beam. The differential equation for a beam with constant bending stiffness (EI) and distributed load w(x) is:
\(d^2y/dx^2 = M(x)/EI\)
where y(x) is the deflection of the beam at a distance x from the origin, M(x) is the bending moment at x, and EI is the bending stiffness of the beam.
The bending moment and the shear force at a distance x from the origin can be obtained by integrating the load and the load moment distribution from the origin to x. For a simply supported beam with a uniformly distributed load of w per unit length, the bending moment and the shear force can be expressed as:
\(M(x) = w(x - x1)^2/2\), for x1 ≤ x ≤ x2
\(V(x) = w(x - x1) - w(x2 - x1\)), for x1 ≤ x ≤ x2
where x1 and x2 are the distances from the origin to the left and right supports, respectively.
Integrating the differential equation twice with respect to x and applying the boundary conditions\((y(x1) = y(x2) = 0 $ and $ dy/dx|x=x1 = dy/dx|x=x2 = 0)\) yields:
\(y(x) = w(x - x1)^2(x - x2)^2/24EI\), for x1 ≤ x ≤ x2
Therefore, the equation of the elastic curve for the beam between x1 and x2 is \(y(x) = w(x - x1)^2(x - x2)^2/24EI\).
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In a study conducted at a large long-term care facility, two data collectors examined 56 pressure ulcers on 40 different subjects. The examinations were independently performed on the same day. A comparison of the results indicated that the data collectors scored 54 of the 56 (correlation coefficient 0.96) pressure ulcers identically using the Braden Scale for pressure ulcer assessment. What can be determined from this finding?
Answer:
Interrater reliability between the two data collectors was high
Step-by-step explanation:
Explanation-
Interrater reliability is the consistency of observations between two or more observers. An Agreement of 54 out of 56 scores would indicate a high level of interrater reliability. The data collection method was appropriate for pressure ulcer risk assessment. The risk assessments did not have to be done by both evaluators at the same time.(2x-7)^2=64 solve for x
What is the distance between (2,1) and (5,1)
Answer: 5
Step-by-step explanation:
the range of feasible values for the multiple coefficient of correlation is from ________.
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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Guido tiene la cuarta parte de la edad de su padre Andrés y el triple de la edad de su hermano David. ¿Qué edad tiene cada uno, si sus edades suman 48 años?
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.
pls help for brainliest answer
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
Since from sentence 6 we know ¬C, we can apply modus ponens to sentence 7:
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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Nancy's morning routine involves getting dressed, eating breakfast, making her bed, and driving to work. Nancy spends ⅓ of the total time in the morning getting dressed, 10 minutes eating breakfast, 5 minutes making her bed, and the remaining time driving to work. If Nancy spends 35 ½ minutes getting dressed, eating breakfast, and making her bed, how long is her drive to work?
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
Jamie is working at Walmart to save up enough money to buy a new phone after she broke hers. She has $100 saved up already and saves $50 a week. Write an equation that could represent this situation.
I'll give you ( Brainliest ) if you answer my question, 2 people need to answer though
2 + 2 = ?
A-Fish
B- 22
C- 2
D-4
E-E
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
I will give brainiest
Answer:
Step-by-step explanation:
Five balls, A, B, C, D, and E, weigh 30g, 50g, 50g, 50g, and 80g each. Which ball weighs 30g?
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.
CorrespondenceThe 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.
<95141404393>
0-k= -4
What is k, explain
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~
\(\bf{GracefulGirlies\)
\(\bold{Heya~!}\)
What is 0-k = -4 ?\(\underline{\large\huge{\mathfrak{Answer~:}}}}\)
\(\sf{k~=~4}\)
\(\huge{\boxed {\mathfrak{explanation:}}\)
\(\sf{0~-~k~=~-4}\)
\(\sf{0~-~k~=~-k}\)
\(\sf{-k~=~-4}\)
\(\sf{Divide~both~sides~by~-1}\)
\(\sf{\frac{-k}{-1}~=~\frac{-4}{-1}\)
\(\sf{Simplify:}\)
\(\sf{k~=~4}\)
Hope It Helps ! ~
#LearnWithBrainly
\(\underline{Answer~:}\)
Jace ~
Convert to standard form:
\(y = \frac{5}{12}x - \frac{1}{2}\)
Show work please
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
Find the taylor polynomials of degree n approximating 1/(2-2x) for x near 0.For n = 3, P3(x) =For n= 5, P5(x) =For n = 7, P7(x) =
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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A cylindrical gasoline tank 4 feet in diameter and 5 feet long is carried on the back of a truck and used to fuel tractors. The axis of the tank is horizontal. The opening on the tractor tank is 5 feet above the top of the tank in the truck. Find the work done in pumping the entire contents of the fuel tank into the tractor
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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PLEASE HELP ME BRAINLIEST IS THE REWARD
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,
\((8.3)^2+(10.4)^2=c^2\\177.05=c^2\\\sqrt{177.05}=\sqrt{c^2}\\13.31=c\)
F: 0- (-8)
G: -2 • 4
H: -2 + (-8)
J: -2 devided by 4
Problem 4. Mark goes out to dinner twice a week. If he chooses the days to go out at random, what is the probability that he goes out on exactly one weeknight?
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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(L3) A segment that extends from the vertex of a triangle to the midpoint of the opposite side is called the _____ of the triangle.
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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888 with a subscript of 9 plus 555 with a subscript of 6 plus 222 with subscript of 3 is equivalent to. What number with a subscript of 12?
Please Explain how you answered the question.
The number with a subscript of 12 or number base 12 that is equal to 888₉ + 555₆ + 222₂ is 689.
What is the sum of the given numbers in base ten?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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A 26-by-27-inch sheet of paper is to be used for a poster, with the shorter side at the bottom. Find the width of the margins if the printed area is to be 360 in2.
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
In the first 3 months of the year,
an electronics store sold 1,446 cameras.
How many cameras did the store sell in March?
Write and solve an equation.
Given f(x) = 3x - 4, find f(5). Write your answer as a number.
F(5) means replace x with 5 then solve:
3x-4 = 3(5)-4 = 15-4 = 11
F(5) = 11
1 point
5) Malia earns $3,567 each month. She spends $2,895 each month and
saves the rest of her money. Select the equation that represents how much
is left over that she is able to save each month.
$3,567 - $2,895 = $6,462
$3,567 + $2,895 = $6,462
0 $3,567 - $2,895 = $672
O $3,567 + $2,895 = $672
1 point
roconts equivalent fractions? *
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
The cost per year to lease a coffee shop in downtown Austin varies directly with the size of the shop. If a 1,425 square foot shop costs $45,600 to lease for the year, how expensive is it to lease a shop that is 1,820 square feet?
Lease Price=?
Direct Variation
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
I need this done today please help, thank you!! (Show the math steps to find the critical numbers, and show your number line.)
12. find the derivative for the given function. write your answer using positive and negative exponents and fractional exponents instead of radicals. f ( x )
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) = \(\frac{(2x^2-x+6)^{2/3}}{2x^{-2}-2x+9}\)
1. What is another way to write this expression?
12 1/2
Answer: 12.5
Step-by-step explanation:
What value of x makes the equation -4x-(-10-8x) = -(12x-14) true?
The value of variable x that makes -4x-(-10 - 8x) = -(12x-14) true is 1/4. thus, option c is correct.
What is variable?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).
What value of x in -4x-(-10 - 8x) = -(12x-14)?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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