Answer:21924 different ways
Step-by-step explanation:
There are 29 choices for the blue ribbon, 28 for the red and 27 for the yellow. If you multiply 29x28x27 you get 21924
If there are 29 horses competing in the show. then there are 21,084 ways can the blue, red, and yellow ribbons be awarded.
Ribbons are awarded to horses. Therefore, we will use the multiplication rule of probability to find the total number of ways in which the blue, red, and yellow ribbons can be awarded.
Multiplication Rule of Probability If there are 'm' ways of doing one thing and 'n' ways of doing another thing, then there are 'm*n' ways of doing both things.
Multiplication Rule of Probability formula:
A total number of ways of doing both things = m*n
To find the total number of ways in which the blue, red, and yellow ribbons can be awarded to horses,
we need to multiply the number of ways of giving each ribbon.
Blue ribbons can be awarded to 29 horses.
Red ribbons can be awarded to 28 horses.
Yellow ribbons can be awarded to 27 horses.
The multiplication rule of the probability formula will be applied to get the total number of ways of awarding blue, red, and yellow ribbons to horses.
A total number of ways of awarding blue, red, and yellow ribbons = Number of ways of awarding blue ribbons × Number of ways of awarding red ribbons × Number of ways of awarding yellow ribbonsTotal number of ways of awarding blue, red, and yellow ribbons
= 29 × 28 × 27
The total number of ways of awarding blue, red, and yellow ribbons
= 21,084
Therefore, there are 21,084 ways in which the blue, red, and yellow ribbons can be awarded to horses.
Probability: In mathematics, the probability of an event is the extent to which it is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.Permutation: In mathematics, a permutation of a set is an arrangement of its members into a particular sequence, or if the set is already ordered, a rearrangement of its elements.Learn more about horses are being awarded ribbons Probability at: https://brainly.com/question/28527510
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a spherical iron ball 10 inches in diameter is coated with a layer of ice of uniform thickness. if the ice melts at a rate of 15 in.^3/min, how fast is the thickness of the ice decreasing when it is 2 inches thick?
The rate of decrease of thickness of the ice when it is 2 inches thick is 8π/min.
The spherical iron ball 10 inches in diameter is coated with a layer of ice of uniform thickness. When the thickness of the ice is 2 inches, the rate of decrease of thickness can be calculated as follows:
Let r be the radius of the ball and h be the thickness of the ice.
The volume of ice = Volume of sphere = 4/3 π r3. When h = 2, 4/3 π r3 = 8π.
The rate of decrease of thickness of the ice when it is 2 inches thick is given by,
Rate of decrease = 15 in3/min = 8π/min
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4x = 28 I need help with this.
Answer:
x=7
Step-by-step explanation:
28/4 = 7
Answer:x=7
Step-by-step explanation:
in california, people use 63 btu of energy per home. this is 30% less than the national average. how many btu does an average american household use?
The national average for energy usage per home in BTU is approximately 90 BTU.
BTU stands for British Thermal Unit, which is the amount of energy required to raise the temperature of one pound of water by one degree Fahrenheit. It is used to quantify the amount of energy consumed by heating or cooling equipment.In California, people use 63 BTU of energy per home, which is 30% less than the national average. Therefore, to calculate the average BTU consumption for American households, we will use the following formula: National average BTU = California BTU / (1 - 30%)
Let's solve for the national average BTU: National average BTU = 63 BTU / (1 - 0.30)
National average BTU = 63 BTU / 0.70National average BTU = 90 BTU
Therefore, the average American household uses 90 BTU of energy per home.
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The function p(x) = 30 000(0.68)* models the
resale value of a car after x years.
Kala says that the value of the car is decreasing by
32% each year. Remy says the value of the car is
decreasing by 68%.
1.1 Who is correct? Explain your thinking.
1.2 How would the function change if the value of
the car decreased by 15% each year?
We can claim that after answering the above question, the This function would simulate the car's resale value if it depreciated at a rate of 15% each year.
what is function?In mathematics, a function is a relationship between two sets of numbers in which each member of the first set (known as the domain) corresponds to a single element in the second set (called the range). In other words, a function takes inputs from one set and produces outputs from another. Inputs are commonly represented by the variable x, while outputs are represented by the variable y. A function can be described using an equation or a graph. The equation y = 2x + 1 represents a linear function in which each value of x yields a distinct value of y.
1.1) Both Kala and Remy are incorrect. The given function, [tex]p(x) = 30,000(0.68)^x[/tex], models the resale value of an automobile after x years, with a starting value of $30,000. The function's exponent x reflects the number of years since the car was purchased, and the base 0.68 is the percentage of the original value that remains after each year.
1.2) If the car's value fell by 15% per year, the function would be[tex]p(x) = 30,000(1 - 0.15)^x[/tex]. This means that the car loses 15% of its worth each year, leaving 85% of the value. This function would simulate the car's resale value if it depreciated at a rate of 15% each year.
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Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0. 2x^2-0. 7x+10. 516, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?
Aki's Bicycle Designs should build 1.75 hundred, or 175, bicycles to minimize the average cost per bicycle.
To find the number of bicycles Aki's Bicycle Designs should build to minimize the average cost per bicycle, we need to find the minimum point of the given quadratic function C(x).
First, we can find the derivative of C(x) concerning x:
C'(x) = 0.4x - 0.7
Then, we can set C'(x) equal to zero and solve for x:
0.4x - 0.7 = 0
0.4x = 0.7
x = 1.75
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solve for a "7a = 14"
Answer: a=2
7a=14
a=14/7
a=2
Find the sum of \sqrt{25}
25
and 4\sqrt{2}4
2
in simplest form. Also, determine whether the result is rational or irrational and explain your answer.
Answer:
The answer to your problem is:
The sum of those given numbers in the simplest form is written as 11
The result is rational.
Difference between irrational and rational:
Irrational: Those numbers that cannot be written as a ratio of integers.
Rational: Those numbers that can be written as a ratio of integers.
[tex]\sqrt[]{4} = \sqrt{2^{2} } = 2[/tex] ( We know that )
[tex]3\sqrt{9} = 3 * \sqrt{3^{2} } = 3*3 = 9[/tex] ( Ok )
Thus: \/
[tex]\sqrt[]{4} + 3\sqrt{9} = 2+9 = 11[/tex]
Thus, the answer to your problem is,
The sum of those given numbers in the simplest form is written as 11
The result is rational.
The graphs below have the same shape. What is the equation of the red
graph?
f(x) = 4 – x²
g(x) = ?
O A. g(x) = (7 - x)2
O B. g(x) = 1 - x2
O C. g(x) = 7 - x2
D. g(x) = (1 - x)2
Answer:
C
Step-by-step explanation:
The red graph is obtained by shifting the graph of f(x) = 4 - x² upwards by some amount. We can see that the highest point on the red graph occurs at x = 0, where the value is 4.
To shift the graph of f(x) upwards by 3 units, we can add 3 to the entire function:
f(x) + 3 = 4 - x² + 3
= 7 - x²
So the equation of the red graph is:
g(x) = 7 - x²
Therefore, the correct answer is option C: g(x) = 7 - x².
Please help :( I don't quite understand...
Step-by-step explanation:
For Part A, use the function f(x) to find the average of tests taken.
X is number of test taken
f(x) is the average score given said num of tests taken,x,
We want after test number 3 so using the function,
[tex]f(x) = 0.2x + 79[/tex]
Plug in. 3 for x, and we will get our answer.
[tex]f(3) = 0.2(3) + 79 = 79.6[/tex]
Part B: Use the table for the answer.
When 2 test are taken, the average test score is
84
So part B is 84.
Part C:
[tex]f(2) = 0.2(2) + 79 = 79.4[/tex]
[tex]g(2) = 84[/tex]
Since
[tex]g(2) > f(2)[/tex]
The science class had a higher average after 2 tests
Answer:
you shoulda payed attention in class
Step-by-step explanation:
also u know it's bad when the test is so hard you can't even cheat on it
what is one million, five hundred fifty-three thousand, five hundred fifty-five in standard form
help me pls!
Answer: 1,553,555
Step-by-step explanation:
1,000,000
553,000
550
1,553,555
Answer:
1553,555 that's the answer for that question
Laura has a flower with a stem that is 11/12
of a foot long. She cuts 3/12
of a foot off the stem. Complete the fraction to show the length of the flower's stem after it was cut
the length of the flower's stem after it was cut is 2/3 of a foot long.
Laura's flower has a stem that is 11/12 of a foot long. If she cuts 3/12 of a foot off the stem, we need to subtract 3/12 from 11/12 to find the length of the remaining stem. To subtract fractions with the same denominator, we simply subtract their numerators and keep the denominator the same. Therefore, we have:
11/12 - 3/12 = 8/12
We can simplify the fraction 8/12 by dividing both the numerator and the denominator by their greatest common factor, which is 4. Therefore, we have:
8/12 = (8 ÷ 4)/(12 ÷ 4) = 2/3
the fraction to show the length of the flower's stem after it was cut
To subtract fractions with the same denominator, we simply subtract their numerators and keep the denominator the same. Therefore, we have:
11/12 - 3/12 = 8/12
Therefore, the length of the flower's stem after it was cut is 2/3 of a foot long.
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The figure shows intersecting lines k and m. What is the measure of angle a?
Type the number in the box.
86°
a
degrees
According to the information provided, k and m are crossing lines with an angle of 86°. We know this because k and m are straight lines.
The angles add up to 180 degrees.
Then we receive,
[tex]a + 86 =180[/tex]
Or, a = 180 -86
Or, a = 94°.
As a result, an is 94°.
The angle an is 94 degrees.
Supplementary angle are formed when two angles add to 180 degrees. When additional angles are added together, they form a straight angle, or 180 degrees. In these other words, if indeed the sum of angles 1 and 2 equals 180 degrees, angles 1 and 2 are supplementary. Angles 1 and 2 are referred to as "supplements" to one another in this context.
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10. 4 out of 5 students are going on the field trip tomorrow. If there are 400 students, how many
are going on the field trip?
The total students who are going on the field trip are 320 students out of 400 students which has been obtained by using the concept of fractions.
Define Fraction?A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).
If 4 out of 5 students are going on the field trip, then the fraction of students going on the field trip is 4/5.
To find out how many students are going on the field trip, we can multiply this fraction by the total number of students:
Number of students going on the field trip = (4/5) x 400
Number of students going on the field trip = 320
Therefore, 320 students are going on the field trip.
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four students use different instruments to measure the length of the same pen. which measurement implies the greatest precision?
If four students use different instruments to measure the length of the same pen, the measurement which implies the greatest precision is 160.0 mm. Correct option is A.
To determine which measurement implies the greatest precision, we need to look at the number of significant figures in each measurement. The greater the number of significant figures, the greater the precision of the measurement.
In this case, we have four measurements:
(a) 160.0 mm
(b) 16.0 cm
(c) 0.160 m
(d) 0.00016 km
We can see that all of these measurements represent the same length in different units, and they are all written with the same number of decimal places. However, the number of significant figures is different for each measurement.
Measurement (a) has four significant figures, while measurements (b), (c), and (d) each have three significant figures. Therefore, measurement (a) implies the greatest precision, since it has the most significant figures.
So, the answer is (a) 160.0 mm, which implies the greatest precision among the given measurements.
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Complete question is:
Four students use different instruments to measure the length of the same pen. Which measurement implies the greatest precision?
(a) 160.0 mm
(b) 16.0 cm
(c) 0.160 m
(d) 0.00016 km
(e) Need more information
Victor made 50 ounces of trail mix for a camping trip he pours 12 ounces for one serving how many people can have fully serving?
Answer:
To find the number of people who can have a full serving of trail mix from 50 ounces, we need to divide the total amount of trail mix by the amount of trail mix per serving.
50 ounces of trail mix / 12 ounces per serving = 4.1667 servings
Since we can't have a fraction of a serving, we need to round down to the nearest whole number.
So, Victor can make 4 servings of trail mix from 50 ounces. Therefore, 4 people can have a full serving of trail mix.
1) Workers are required. to рау. 41/2 of their salaries into an Educational fund, A worker's salary is GH 120.00. How * much does he pay into the Education al Fund?
We know that the workers are required to pay 4 and a half of their salaries into an education fund.
If the salary is S = 120.00, the educational fund receive from that worker:
[tex]F=4.5\times S=4.5 \times120=540[/tex]
Answer: he pays GH 540.00 into the education fund.
2. The function f gives the dollar value of a bond t years after the
bond was purchased. The graph of Jis shown.
What is f(0)? What does it mean in this situation?
b. What is f(4.5)? What does it mean in this situation?
c. When is f(t) = 1500? What does this mean in this
situation?
The function f a. f(0) represents the bonds after 0 years. That is the immediate value of bond in dollars at 0 year. b. f(4.5) represents the value of the bond 4.5 years later.
What does a mathematical function mean?A function in mathematics is a rule that designates a certain output value for each input value. Each input from the domain has precisely one output in the range, forming a relationship between two sets known as the domain and the range. The letter f(x), where x is the input variable and f(x) is the output variable, is a common way to represent a function. The output variable is specified by the function's rule, but the input variable can accept any value from the function's domain.
For the given graph of the function:
a. f(0) represents the bonds after 0 years. That is the immediate value of bond in dollars at 0 year.
b. f(4.5) represents the value of the bond 4.5 years later.
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if the dental director wanted to analyze the data collected from the cpi, which type of descriptive statistics should be used to measure central tendencies?
To measure central tendencies in the data collected from the Consumer Price Index (CPI), the dental director should use measures of central tendency, such as the mean, median, and mode.
The mean is the average of a set of numbers and is calculated by adding all the numbers together and then dividing by the total number of numbers. The median is the middle number when the numbers are placed in order from least to greatest. The mode is the number that appears most often in a set of numbers.
Using these measures of central tendency will allow the dental director to gain a better understanding of the CPI data, as they will be able to identify the center point of the data and also see how frequently particular values appear. This can help in making informed decisions about policies and other changes.
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For what real numbers x is the value of x2
– 6x + 9 negative?
Answer:
Step-by-step explanation:
EZ
its 21
There is exactly 111 pair of parallel sides in the following shape.what is the area of the shape? \text{ units}^2 units 2 start text, space, u, n, i, t, s, end text, squared
Therefore, the answer is not possible to determine without additional information.
There are exactly 111 pair of parallel sides in the shapeTo find:
Area of the shape Formula used:Area of the parallelogram= base × height Explanation: We know that the parallelogram has two pairs of parallel sides. Since we are given that there are 111 pairs of parallel sides in the shape, we can infer that there are 55.5 parallelograms.
But the problem does not specify whether these parallelograms are of the same size or not. Hence we do not know if they will form a single shape or multiple shapes.In the absence of the above information, we cannot determine the area of the shape.
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130.25.122.63mario's pizzeria bakes olive pieces in the outer crust of its 20-inch (diameter) pizza. there is at least one olive piece per inch of crust. how many olive pieces will you get in one slice of pizza? assume the pizza is cut into eight slices.
By using circumference of circle, we find that In one slice of pizza you will get about 8 olive pieces from Mario's Pizzeria.
The circumference of circle of a 20-inch diameter pizza can be calculated as follows:
Circumference = π × diameter
Circumference = 3.14 × 20
Circumference = 62.8 inches
If there is at least one olive piece per inch of crust, then there will be 62.8 olive pieces on the outer crust of the entire pizza.
If the pizza is cut into eight slices, each slice will have 1/8th of the total circumference of the pizza. Therefore, each slice will have:
62.8 inches ÷ 8 slices = 7.85 inches of outer crust
Since there is at least one olive piece per inch of crust, each slice will have approximately 8 olive pieces on the outer crust.
Therefore, you can expect to get about 8 olive pieces in one slice of pizza from Mario's Pizzeria.
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A gamer is observing her score, y, as she plays a video game. She currently has 3,200 points and is gaining 200 points for every minute, x, she plays.
Which of the following equations can be used to describe this linear relationship?
A. y = 3,200x − 200
B.y = 3,200x + 200
C. y = 200x − 3,200
D. y = 200x + 3,200
Answer: d
Step-by-step explanation:
the slope is positive 200 because she is gaining 200 points for every minute which is x. 200x or 200 multiplied by x is her slope and her y intercept is 3200
Aria puts 0. 75 liters of apple juice and 0. 5 liter of cranberry juice in a pitcher that holds 2 liters of liquid. She fills the rest of the pitcher with orange juice. What fraction of the mixture is orange juice?
Answer:
Step-by-step explanation:
Your equation is 0.75L + 0.5L + x = 2L
x = Orange juice
0.75L + 0.5L = 1.25L
2L - 1.25L = 0.75L
[tex]\frac{0.75L}{2L}[/tex] is your fraction
[tex]\frac{75}{200}[/tex] simplified is [tex]\frac{3}{8}[/tex]
I hope this helped,
Marissa needs 4 cups of olive oil to make a recipe if olive oil cost two dollars a cup how much money will she need to buy the olive oil
Marissa will need 4 cups of olive oil for a recipe. If olive oil costs two dollars per cup, she will need 4 x 2 = 8 dollars to buy the olive oil.
To make a recipe, Marissa needs 4 cups of olive oil. At a cost of $2 per cup, she would need to spend a total of 4 x $2 = $8 to buy the necessary amount of olive oil. This is a straightforward multiplication problem where the quantity of olive oil required is multiplied by the cost per cup. By using the multiplication operator, we can find the total cost needed to purchase the olive oil. Therefore, the total cost of the olive oil is directly proportional to the quantity of olive oil needed, with the cost per unit remaining constant at $2 per cup.
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3x (x-4) (3x + 5) = 0
Therefore, x = 0, x = 4, and x = -5/3 are the answers to the equation 3x(x-4)(3x+5) = 0.
what is equation ?An equation in mathematics is a claim that two expressions are equivalent. An equals sign (=) separates the left and right sides of an equation, which usually has two sides. Variables, constants, and mathematical operations like addition, subtraction, multiplication, division, exponents, and roots may be used in the formulas on either side of the equals sign. Finding the number of the variable or variables that make an equation true is the goal of an equation.
given
The zero product property, which asserts that at least one of the factors must be zero if the product of two or more factors equals zero, can be used to solve the equation 3x(x-4)(3x+5) = 0.
We then solve for x by setting each component equal to zero:
3x = 0, 3x + 4, or 3x + 5 = 0.
When we factor x into each solution, we obtain:
3x = 0 --> x = 0
x-4 = 0 —> x = 4
Therefore, x = 0, x = 4, and x = -5/3 are the answers to the equation 3x(x-4)(3x+5) = 0.
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A ball is thrown from an initial height of 3 meters with an initial upward velocity of 30(m)/(s). The ball's height h (in meters) after t seconds is given by the following.
h=3+30t-5t^(2)
Find all values of t for which the ball's height is 13 meters.
Answer: -451
Step-by-step explanation:
so, the height we are trying to find is 13 meters.
13=3+30t-5t^2
so, we can go ahead and pull that number in.
now we have to subtract the 3 to try and get as much as possible over on the other side to find t.
10=30t-5t^2
Step-by-step explanation:
h(t) = 3 + 30t - 5t²
the height is set to 13 meters.
since the ball will go up and then come back down again, we expect 2 points of time, when the ball is at 13 meters high. if any at all, by the way (keep that in mind for similar questions, the object might not even reach a certain height).
13 = 3 + 30t - 5t²
10 = 30t - 5t²
2 = 6t - t²
0 = -t² + 6t - 2
the general solution to a quadratic equation
ax² + bx + c = 0
is
x = (-b ±sqrt(b² - 4ac))/(2a)
in our case
x = t
a = -1
b = 6
c = -2
t = (-6 ±sqrt(6² - 4×-1×-2))/(2×-1) =
= (-6 ±sqrt(36 - 8))/-2 = (-6 ±sqrt(28))/-2 =
= (-6 ±sqrt(4×7))/-2 = (-6 ±2×sqrt(7))/-2 =
= 3 ± sqrt(7)
t1 = 3 + sqrt(7) = 5.645751311... seconds
t2 = 3 - sqrt(7) = 0.354248689... seconds
on its way up the ball will pass the mark of 13 meters after about 0.35 seconds, and on its way back down it will pass the mark of 13 meters again after about 5.65 seconds.
A grocer can buy oranges for $1.65 per pound.
1. Write an equation relating c, the cost; and p, the pounds of oranges.
2. An orange order cost $260.10. How many pounds did the grocer order? (Round to the nearest whole number)
Answer:
157 pounds I'm pretty sure the equation would be 1.65c=p
Step-by-step explanation:
p is 1 because no given varible since p=1 pound 1.65 would equal p they 157 pounds bc 260.10/1.65 gives you 157 rounded
where will the center of the circle be located? a. on a vertex of the triangle b. inside the triangle c. on a side of the triangle d. outside the triangle
A triangle's interior will always contain the center of the circle that forms the triangle. As a result, choice b is the correct one.
what is circle ?A circle is a closed curve in geometry made up of all points in a plane that are equally spaced from a fixed point known as the center. The circle's diameter, which is equal to twice the radius, is the distance across the circle that passes through its center. Geometrically speaking, circles are significant shapes with a wide range of applications. For instance, they are used in engineering to construct gears and other circular components, in navigation to determine the distance between two places on the surface of the Earth, in physics to simulate planetary orbits, and in art and design to produce aesthetically beautiful curves and patterns.
given
A triangle's interior will always contain the center of the circle that forms the triangle. As a result, choice b is the correct one.
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R. Davis students are going to run in a relay tournament. In the first round 3 students will run a 1/3 mile relay race
The R. Davis children are preparing for a relay event in which they will compete in a 1/3 mile relay race. The opening round of the competition will include three kids who will compete in the race.
This means that in the relay event, each kid will have to run 1/9th of a mile. Students will need to improve on their speed, endurance, and coordination in order to prepare for the race. They must be able to effortlessly deliver the baton from one runner to another, maintain their speed throughout the race, and push themselves to the maximum. In addition to physical preparation, students must improve their mental focus and motivation. They will do so. need to stay positive and motivated throughout the race, and work as a team to achieve their goals.
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What is the scenario for R. Davis students in the relay tournament? How many students will run in the first round of the tournament, and what is the distance they will cover?
Problem 4. 3 (a) Suppose ψ(r, θ, d) Ae-r/a, for some constants A and a. Find E and V(r), assuming V(r) 0 asroo (b) Do the same for ψ(r, θ, φ)--Ae-r2/a2, assuming V(0) 0
(a) The wave function (r,, d) = Ae(-r/a), with A and a constants. To determine the expected value of energy E, we must first compute |H|>, where H is the Hamiltonian operator.
H = -(2/2m) 2 + V(r) is the Hamiltonian operator for a particle in a spherically symmetric potential, where is the reduced Planck constant, m is the particle's mass, 2 is the Laplacian operator, and V(r) is the potential energy. We may assume that V(r) = 0 as r approaches infinity since the potential energy V(r) is given to be zero at infinity. As a result, the Laplacian operator in spherical coordinates is reduced to 1/r2(d/dr)(r2(d/dr)), and we obtain:[tex]< ψ|H|ψ > = ∫∫∫ ψ*(r,θ,φ) [-2/2m (1/r2)(d/dr)(r2(d/dr)) + V(r) (r,,)] dτ where d = r2 sin dr d d d[/tex] is the volume element. Using the given wave function and the simplification of the Laplacian operator,
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