The term you are referring to is intrinsic motivation. Intrinsic motivation is when we engage in an activity because we find it enjoyable, interesting, or personally satisfying, rather than because of any external reward or incentive. This type of motivation can be very powerful, as it can lead to increased engagement, creativity, and productivity.
There are three key factors that contribute to intrinsic motivation: autonomy, mastery, and purpose. Autonomy refers to the sense of control we have over our actions and decisions. When we feel that we have a say in what we do, we are more likely to be motivated and engaged. Mastery is the desire to improve and develop our skills and abilities. When we see progress and growth in our abilities, we feel a sense of accomplishment and satisfaction. Finally, purpose is the sense that our work has meaning and is connected to a larger goal or mission. When we feel that our work is meaningful, we are more likely to be motivated and committed.
Overall, intrinsic motivation is a powerful force that can drive us to achieve great things. By focusing on autonomy, mastery, and purpose, we can tap into our intrinsic motivation and find greater satisfaction and fulfillment in our work and our lives.
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a slice of pizza supplies 217 kcal (217 cal). if a person weighing 140 lb expends 80 kcal per mile when walking at 2.0 miles per hour, approximately how long will it take to use up the calories from the pizza?
The required time consumed to burn the calories gained from the slice of pizza is 1.36 hr.
Given that,
A slice of pizza supplies 217 kcal (217 cal). if a person weighing 140 lb expends 80 kcal per mile when walking at 2.0 miles per hour.
here,
1 mile = 80 kcal used,
1 kcal used = 1/80 mile
217 kcal used = 217/80 mile = 2.71 miles
Now,
2 miles = 1 hour,
2.71 miles = 2.71/2 hours
2.71 miles = 1.36 hours
Thus, the required time consumed to burn the calories gained from the slice of pizza is 1.36 hr.
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For the following set of data, find the percentage of data within 2 population standard deviations of the mean, to the nearest percent
chart is in the photo
Percentage of data within 2 population standard deviations of the mean is 68%.
To calculate the percentage of data within two population standard deviations of the mean, we need to first find the mean and standard deviation of the data set.
The mean can be found by summing all the values and dividing by the total number of values:
Mean = (20*2 + 22*8 + 28*9 + 34*13 + 38*16 + 39*11 + 41*7 + 48*0)/(2+8+9+13+16+11+7) = 32.68
To calculate standard deviation, we need to calculate the variance first. Variance is the average of the squared differences from the mean.
Variance = [(20-32.68)^2*2 + (22-32.68)^2*8 + (28-32.68)^2*9 + (34-32.68)^2*13 + (38-32.68)^2*16 + (39-32.68)^2*11 + (41-32.68)^2*7]/(2+8+9+13+16+11+7-1) = 139.98
Standard Deviation = sqrt(139.98) = 11.83
Now we can calculate the range within two population standard deviations of the mean. Two population standard deviations of the mean can be found by multiplying the standard deviation by 2.
Range = 2*11.83 = 23.66
The minimum value within two population standard deviations of the mean can be found by subtracting the range from the mean and the maximum value can be found by adding the range to the mean:
Minimum Value = 32.68 - 23.66 = 9.02 Maximum Value = 32.68 + 23.66 = 56.34
Now we can count the number of data points within this range, which are 45 out of 66 data points. To find the percentage, we divide 45 by 66 and multiply by 100:
Percentage of data within 2 population standard deviations of the mean = (45/66)*100 = 68% (rounded to the nearest percent).
Therefore, approximately 68% of the data falls within two population standard deviations of the mean.
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Anna makes orange squash by mixing 50 ml of squash with 850 ml of water.
Jeevan makes orange squash by mixing 60 ml of squash with 1110 ml of water.
Whose squash is the stronger? Explain your answer
Write the equation of a line that is parallel towards y = -6x +5
Answer:
y=-6x-4
Step-by-step explanation:
Any linear equation that has the slope of -6 is parallel to y=-6x+5
From the equation of x² + y² + z² = 25 and inside the equation x² + y² = 9 Calculate the volume of the integral from the projection i) x - axis ii) y -axis iii) z-axis Please do all the works, step by step with complete full solution. Thank you
To calculate the volume of the region bounded by the equations x² + y² + z² = 25 and x² + y² = 9, we can set up triple integrals for the projections onto the x-axis, y-axis, and z-axis.
To find the volume using the given equations, we can set up a triple integral. The limits of integration depend on the projection axis.
i) For the projection onto the x-axis, the limits of integration for x will be from -3 to 3 (from the equation x² + y² = 9). The limits of integration for y will be from -√(9 - x²) to √(9 - x²) (from the equation x² + y² + z² = 25), and the limits of integration for z will be from -√(25 - x² - y²) to √(25 - x² - y²). Integrating 1 with respect to x, y, and z over these limits will give the volume.
ii) For the projection onto the y-axis, the limits of integration for y will be from -3 to 3. The limits of integration for x will be from -√(9 - y²) to √(9 - y²), and the limits of integration for z will be from -√(25 - x² - y²) to √(25 - x² - y²). Integrating 1 with respect to y, x, and z over these limits will give the volume.
iii) For the projection onto the z-axis, the limits of integration for z will be from -√(25 - x² - y²) to √(25 - x² - y²). The limits of integration for x will be from -3 to 3, and the limits of integration for y will be from -√(9 - x²) to √(9 - x²). Integrating 1 with respect to z, x, and y over these limits will give the volume.
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Michael breeds chickens and ducks.
Last month, he sold 50 chickens and 30 ducks for $550. This month, he sold 44 chickens and 36 ducks for
$532.
How much does a chicken cost, and how much does a duck cost?
A chicken costs S
a and a duck costs
Answer:
50C + 30D = 550 -------(1)
44C + 36D = 532 -------(2)
(2) - (1)
6C - 6D = 18
Divide both Sides by 6
C - D = 3
C = (3 +D) ----------(3)
Substitute 3 in 1
50(3 +D) + 30D = 550
150 + 50D + 30D = 550
80D = 550 -150
80D = 400
D = 400÷80
D = 5
C = (3+ D) ----------(3)
C = 3+5
C = 8
Chicken costs $8.
Duck costs $5.
PLS HELP!!!
I attached the question in the picture below
Using the numbers -9 to 9 create a set of 3 points that would have a positive linear association if they were graphed in a scatterpolt
One possible set of points: (-9, 1), (-3, 5), (3, 9) which would have a positive linear association if they were graphed in a scatterplot.
What is scatterplot?A scatterplot is a graph that displays the relationship between two quantitative variables. It is a useful tool for exploring patterns and relationships in data, and can help identify trends, outliers, and potential correlations.
In the given question,
To create a set of 3 points with a positive linear association, we want to choose three points where the y-coordinate increases as the x-coordinate increases. Here's one possible set of points:
(-9, 1), (-3, 5), (3, 9)
If we graph these points on a scatterplot, we can see that there is a clear positive trend. As x increases, y also increases, suggesting a positive linear association between the two variables.
Note that there are many other sets of points we could choose that would also have a positive linear association. The key is to choose points where the y-coordinate tends to increase as the x-coordinate increases.
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Fill in the blank with an appropriate word, phrase, or symbol(s). The number of regions created when constructing a Venn diagram with three overlapping sets is The number of regions created when constructing a Venn diagram with three overlapping sets is 8 3 6
The number of regions created when constructing a Venn diagram with three overlapping sets is 8.
In a Venn diagram, each set is represented by a circle, and the overlapping regions represent the elements that belong to multiple sets.
When three sets overlap, there are different combinations of elements that can be present in each region.
For three sets, the number of regions can be calculated using the formula:
Number of Regions = 2^(Number of Sets)
In this case, since we have three sets, the formula becomes:
Number of Regions = 2^3 = 8
So, when constructing a Venn diagram with three overlapping sets, there will be a total of 8 regions formed.
Each region represents a unique combination of elements belonging to different sets.
These regions help visualize the relationships and intersections between the sets, providing a graphical representation of set theory concepts and aiding in analyzing data that falls into multiple categories.
Therefore, the correct answer is 8.
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How many statements below are true? 1. Given two square matrices, AB-I, then BA-I 2. Given two matrices, Al is an eigenvalue of AB, then A is an eigenvalue of BA 3. If AB BA for all square matrices B, then A must be a multiple of the identity matrix. Pick one of the choices 0 1 O 2 0 3 Clear selection
The correct option: 3. If AB BA for all square matrices B, then A must be a multiple of the identity matrix.
Define the term identity matrix?A square matrix called an identity matrix is one in which all of the primary diagonal members are one and all other components are zero.
As per the stated question-
In order to determine whether a b is equal to I we were first given two square matrices, a b & b a, both of which are equal to i. Therefore, a b is equal to i. A homogeneous system b x = 0 is subsequently taken into consideration. We could indeed transform b to row reduced echelon form using only elementary rule operations, but we then have that b is going to be invertible and an is the inverse of b, as such yes, we have that a b is equivalent to b a which is equal to i. This tells us that x is equal to 0 seems to be the only solution to the homogeneous system.Thus, if A is a multiple of the identity matrix if AB BA for all square matrices B.
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Find the coordinates of the point P on the line segment joining A(1, 2) and B(6, 7) such that AP: BP = 2: 3.
The coordinates of P that partitions AB in the ratio 2 to 3 include the following: [3, 4].
How to determine the coordinates of point P?In this scenario, line ratio would be used to determine the coordinates of the point P on the directed line segment that partitions the segment into a ratio of 2 to 3.
In Mathematics and Geometry, line ratio can be used to determine the coordinates of P and this is modeled by this mathematical equation:
P(x, y) = [(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]
By substituting the given parameters into the formula for line ratio, we have;
P(x, y) = [(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]
P(x, y) = [(2(6) + 3(1))/(2 + 3)], [(2(7) + 3(2))/(2 + 3)]
P(x, y) = [(12 + 3)/(5)], [(14 + 6)/5]
P(x, y) = [15/5], [(20)/(5)]
P(x, y) = [3, 4]
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Quadratic Pose Estimation Problems : Globally Optimal Solutions , Solvability / Observability Analysis and Uncertainty Description arxiv
Obtaining globally optimal solutions for quadratic pose estimation problems is challenging due to non-convexity and high-dimensional parameter space. Solvability/observability analysis determines feasibility, while uncertainty is described through probability distributions and covariance analysis.
Obtaining globally optimal solutions for quadratic pose estimation problems can be challenging due to several factors:
1. Non-convexity: Quadratic pose estimation problems often involve non-convex cost functions. Non-convexity implies that the cost function has multiple local optima, making it difficult to guarantee finding the globally optimal solution. Optimization algorithms may converge to suboptimal solutions, especially when the initial guess is far from the true solution.
2. High-dimensional parameter space: The pose estimation problem typically involves estimating the position and orientation of an object in 3D space. The high-dimensional parameter space can lead to an increased number of local optima and complicate the search for the global solution
3. Ambiguity and degeneracy: Quadratic pose estimation problems can suffer from ambiguity and degeneracy, where multiple poses can produce similar or identical measurements. This ambiguity can cause the optimization algorithm to converge to an incorrect solution, even if it is globally optimal within the given set of measurements.
Solvability/observability analysis plays a crucial role in understanding the feasibility of pose estimation by examining whether it is possible to uniquely determine the pose from the available measurements.
This analysis considers factors such as the number and quality of measurements, the geometry of the problem, and the inherent limitations of the sensing system.
If the pose estimation problem is not observable, it implies that it may not be possible to obtain a unique and globally optimal solution, regardless of the optimization algorithm used.
Uncertainty in the context of quadratic pose estimation refers to the imprecision or lack of knowledge about the true pose estimate. It arises due to measurement noise, model inaccuracies, and limitations in the estimation process.
Uncertainty can be described using probability distributions or covariance matrices that capture the spread or dispersion of possible pose estimates.
To quantify and assess the reliability of the estimated pose, several methods can be employed:
1. Covariance analysis: By propagating the uncertainties in the measurements and model through the estimation process, it is possible to compute the covariance matrix of the estimated pose. The covariance matrix provides a measure of uncertainty associated with each element of the pose, allowing for the assessment of reliability.
2. Monte Carlo methods: Monte Carlo techniques, such as particle filtering or sampling-based methods, can be used to generate a large number of samples from the estimated pose distribution. These samples can then be used to analyze the variability and reliability of the estimated pose.
3. Consistency checks: Consistency checks involve evaluating the quality of the estimated pose by comparing it with other measurements or known constraints. For example, if the estimated pose violates physical constraints or produces inconsistent results with other sensor measurements, it suggests that the estimate may be unreliable.
4. Cross-validation: Splitting the available measurements into training and validation sets can help assess the reliability of the estimated pose. By comparing the estimated pose on the validation set with the ground truth or independent measurements, one can evaluate the generalization capability and reliability of the pose estimation algorithm.
These methods can provide insights into the uncertainty and reliability of the estimated pose, enabling users to make informed decisions and evaluate the quality of the pose estimation results.
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The complete question is:
What are the challenges in obtaining globally optimal solutions for quadratic pose estimation problems, and how does solvability/observability analysis contribute to understanding the feasibility of pose estimation? Additionally, how is uncertainty described in the context of quadratic pose estimation, and what methods can be employed to quantify and assess the reliability of the estimated pose?
Classifiy the triangle by using its side lengths
Answer: Where is the triangle?
Step-by-step explanation: Brainliest pls:)
Give two examples as to how pi is used in every day life
Answer:
In basic mathematics, Pi is used to find area and circumference of a circle. You might not use it yourself every day, but Pi is used in most calculations for building and construction, quantum physics, communications, music theory, medical procedures, air travel, and space flight, to name a few
Step-by-step explanation:
When the product of 6 and the square of a number is increased by 5 times the number, the result is 4.
Select all of the values that the number could be.
–4/3
1/2
–3/4
2
The equation is formed and solved below.
What is an equation?
A weighing scale, balance, or seesaw is equivalent to an equation. Each equation relates to a single side of the balance. Different quantities can be placed on either side: if the weights on both sides are equal, the scale balances, and the equality that displays the balance is balanced as well (if not, then the lack of balance corresponds to an inequality represented by an inequation). If two equations or two systems of equations have the same set of solutions, they are equivalent. The operations listed below convert an equation or a system of equations into an equivalent one, assuming that the operations are meaningful for the expressions to which they are applied.
The equation is 6(x)² + 5x = 4, which is solved below as
6x² - 5x - 4 = 0
or, 6x² - 8x + 3x - 4 = 0
or, 2x(3x-4) + 1(3x-4) = 0
or, (2x+1)(3x-4) = 0
either 2x + 1 = 0 => x = -1/2
or 3x - 4 = 0 => x = 4/3
The values could be -1/2 or 4/3
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The circumference of a circular pizza pan is 5 pie or 15.7079632679...,inches.Is this number rational or irrational?
Answer:
irrational
Step-by-step explanation:
well if it goes on forever its irrational
The price of petrol is increased from R 12.58 per litre to R 13.28per litre Determine the percentage increase in the price
The percentage increase in the price of petrol is approximately 5.56%.
What is percentage?Percentages are used to compare and express parts of a whole, and to express changes or differences in values. For instance, we can use percentages to express:
A discount or a markup in prices
The increase or decrease in a quantity or value
The proportion of a quantity compared to a whole
The probability of an event occurring.
In the given question,
To determine the percentage increase in the price of petrol, we need to calculate the difference between the old price and the new price, divide that by the old price, and then multiply by 100 to convert to a percentage.
The difference between the old price and the new price is:
R 13.28 - R 12.58 = R 0.70
Dividing the difference by the old price:
R 0.70 ÷ R 12.58 ≈ 0.0556
Multiplying by 100 to convert to a percentage:
0.0556 × 100 ≈ 5.56%
Therefore, the percentage increase in the price of petrol is approximately 5.56%.
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a pet store marks up all of their grooming products by 15% of the price, p. write an expression for the retail price
Answer: 0.85p
Step-by-step explanation:
how come everyone say this works but when i do brainly i get half of the answers right
Answer:
It isn't very relaible, to insure that you get answers correct try to do them yourself or ask your teacher,
Step-by-step explanation:
The radius of a circle is 13 in. Find its circumference in terms of T(pi)
Answer: 40.82
Step-by-step explanation: You have to multiply pi and 13 to get the answer
a) Find the area of triangles in which
(i) base = 8 cm, height = 5.5 cm
(ii) base = 12 cm, height = 8.4 cm
Answer:
Step-by-step explanation:
1) B=8cm H=5.5
A=1/2xbxh
A=I/2 x 8 x 5.5
A=22
The area of the first traingle is 22cm
2)
B=12cm h=8.4
A=1/2xbxh
A=1/2 x 12 x 8.4
A=50.4
Hope it helps...This is My first Answer...Follow me?!
50/3 into a propper fraction
15x = -60 I don’t get how to do to
Answer:
x = -4
Step-by-step explanation:
15x = -60
move 15 over and divide 60 by it
x = -60/15
then solve
x = -4
Answer:
x=-4
Step-by-step explanation:
first let's solve 15x for 60 so solving for the valuable "x" we move all terms containing x to the left and all other terms to the right. Dividing each side by 15 so x is negative 4
34°
56°
124°
146°
Some help would be nice
Answer:
146 degrees
Step-by-step explanation:
Sum of all triangle angles equal 180 degrees
We know 2
56 and 90 so we add them
90+56=146
Now we subtract to 180 to find the third angle of the triangle
180-146=34
To find x we gotta subtract 34 from 180 since it’s on a flat plane
180-34=146
angle x=146 degrees
hopes this helps please mark brainliest
i need help with thisss plzzz!!?
40 points!
Answer:
MCK: 50
MCM: 32
Step-by-step explanation:
Becca made 2 trays of rolls and bisouits. Each tray had 12 folls and 6 biscuits. How many total rols and bisouits did Beca make?
Becca made a total of 24 rolls and 12 biscuits.
Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.
Becca made 2 trays of rolls and biscuits, with 12 rolls and 6 biscuits in each tray. To find the total number of rolls and biscuits, we need to multiply the number of rolls and biscuits per tray by the number of trays, and then add them together:
Total rolls = 2 trays × 12 rolls per tray = 24 rolls
Total biscuits = 2 trays × 6 biscuits per tray = 12 biscuits
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9,999 divided by 9
Two answers
Answer:
1111...................... ................
Sara bought a dress on sale for $33. She saved 40%. What was the original cost? $
Answer:
$55
Step-by-step explanation:
Step 1
Subtracted the discounted price by 100 to find the percentages original price giving you *60%*
Step 2
Multiply the price payed(final price which is $33) by 100 giving you *3300*
Step 3
Go back to step 1 and divide your answer in step 2(3300) by the percentage in step 1(60%) (3300/0.60=55)
darwin's geometric ratio of increase pertains specifically to
Darwin's geometric ratio of increase pertains specifically to the growth rate of populations in biological organisms. According to Darwin's theory of evolution, populations have the potential to increase exponentially over time if certain conditions are met. The geometric ratio of increase, often denoted as "r" or the intrinsic rate of natural increase, represents the factor by which a population multiplies during each reproductive cycle or generation.
In the context of natural selection, individuals with higher reproductive rates (higher r-values) have a greater chance of passing on their genetic traits to the next generation. Over time, this can lead to significant population growth and evolutionary changes within a species. However, the geometric ratio of increase is limited by various factors, such as availability of resources, competition, predation, and environmental constraints, which can result in a balance between population growth and environmental carrying capacity.
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0) A half-marathon is roughly 13.1 miles long. Which equation could be used to determine the time, t it takes to run a marathon as a function of the average speed, s, of the runner where t is in hours and s is in miles per hour?A) t = 13.sB) t = 13.1/sC) t= 13.1 - 13.1sD) t= 13.1s - S/13.1
The formula distance = speed x time must be used to calculate the duration of a marathon as a function of the runner's average speed.
1: List the known data. For example, a marathon is 13.1 miles long, and an average runner moves at s miles per hour.
2 :Rearrange the equation to solve for time in Step 2: Time = Speed/Distance
3: Enter the known numbers for distance and speed into the equation: time = 13.1 miles per second.
4: If necessary, simplify the equation. The units of miles will cancel out because the time is measured in hours and the speed in miles per hour, therefore the ultimate unit of time will be hours.
The final answer is t = 13.1/s, which expresses the duration of a marathon (in hours) as a function of the runner's average speed (in miles per hour).
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