What is the mechanical energy
Answers
Answer:
In physical sciences, mechanical energy is the sum of potential energy and kinetic energy. It is the macroscopic energy associated with a system. The principle of conservation of mechanical energy states that if an isolated system is subject only to conservative forces, then the mechanical energy is constant.
hope it helps ;)
Related Questions
The coefficient of variation is a better measure of risk than the standard deviation if the expected returns of the securities being compared differ significantly.
A. True
B. False
Answers
True. The coefficient of variation is a better measure of risk than the standard deviation if the expected returns of the securities being compared differ significantly.
The coefficient of variation (CV) is a relative measure of risk that takes into account the standard deviation and the mean of a distribution. It is a better measure of risk than the standard deviation when comparing securities with significantly different expected returns because it adjusts for the differences in the means.
The CV is calculated as the ratio of the standard deviation to the mean, and it allows for the comparison of the risk of investments with different expected returns on a standardized basis. Therefore, it is a useful tool for investors who want to compare the risk of investments that have different levels of expected returns. However, it should be noted that the CV has limitations and should not be the sole measure of risk used in investment analysis.
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If ||v|| = 7 and ||w|| = 4, what are the smallest and largest possible values
of ||v − w||? What are the smallest and largest values of v · w?
Answers
The smallest and largest possible values of ||v − w|| are 3 and 11, respectively. The smallest and largest values of v · w are 0 and 28, respectively.
The magnitude of a vector is a measure of its length or size. In mathematics, it is represented by two vertical bars surrounding the vector symbol, for example, ||v||.
In this case, we have two vectors, v and w, with magnitudes ||v|| = 7 and ||w|| = 4.
When the vectors v and w point in the same direction, the magnitude of their difference is at its minimum. In this case, ||v − w|| = ||v|| − ||w|| = 7 − 4 = 3.
On the other hand, when the vectors v and w point in opposite directions, the magnitude of their difference is at its maximum. In this case, ||v − w|| = ||v|| + ||w|| = 7 + 4 = 11.
Next, let's consider the dot product of v and w, also known as the scalar product. The dot product of two vectors is a scalar value that is proportional to the magnitudes of the vectors and the cosine of the angle between them.
The smallest possible value of the dot product of v and w is 0, which occurs when they are orthogonal or perpendicular to each other. The largest value of the dot product of v and w is equal to the product of their magnitudes, which occurs when they are parallel. In this case, the largest value of v · w is v · w = ||v|| * ||w|| = 7 * 4 = 28.
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Coach Cowley is going to the store to buy some turkey for lunch at the deli. If th turkey costs $3. 25 per pound, what equation represents thetotal cost of turkey, y, for the amount of pounds, x? whats the equation?
Answers
The equation represents the total cost of turkey and amount is y= 3.25x.
We have,
The turkey costs $3. 25 per pound.
let x be the amount in pounds and y be the total cost in dollar.
Then, the relation between x and y
Total cost = 3.25 (amount in poind)
y = 3.25 x
Thus, the required equation is y= 3.25x.
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Please help! .. 7p5 and 12c4
Answers
Permutation is the arrangement of objects in a definite order while Combination is the arrangement of objects where the order in which the objects are selected does not matter.
How to determine this
Using the permutation term
\(_nP_{r}\) = n!/(n-r)!
Where n = 7
r = 5
\(_7P_{5}\) = 7!/(7-5)!
\(_7P_{5}\) = 7 * 6 * 5 * 4 * 3 * 2 * 1/ 2 * 1
\(_7P_{5}\) = 5040/2
\(_7P_{5}\) = 2520
Using the combination term
\(_{n} C_{k}\) = n!/k!(n-k)!
Where n = 12
k = 4
\(_{12} C_{4}\) = 12!/4!(12-4)!
\(_{12} C_{4}\) = 12!/4!(8!)
\(_{12} C_{4}\) = 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 *4 *3 * 2 * 1/4 * 3 *2 * 1 * 8 *7 * 6 * 5 * 4 * 3 *2 * 1
\(_{12} C_{4}\) = 479001600/24 * 40320
\(_{12} C_{4}\) = 479001600/967680
\(_{12} C_{4}\) = 495
Therefore, \(_7P_{5}\) and \(_{12} C_{4}\) are 2520 and 495 respectively
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Need help???????!!!!!!!!!
Answers
Answer:
sorry
Step-by-step explanation:
sorry i thought i clould do this but i cant
a random sample of 21 camden county college students had a mean age of 24 years, with a standard deviation of 4 years. calculate a 95% confidence interval for the true population mean age. which ti 83/84 calculator function is used for this analysis?
Answers
The 95% confidence interval for the true population mean age of Camden County College students is (22.8, 25.2) years.
To calculate a confidence interval for the true population mean, we can use the t-distribution and the t-interval function on a TI 83 or TI 84 calculator.
The t-distribution is a distribution of values that are used to estimate the mean of a population when the standard deviation of the population is unknown and the sample size is small (typically n < 30). The t-interval function on a TI 83 or TI 84 calculator calculates a confidence interval for the mean of a population based on a sample of data, using the t-distribution to account for the uncertainty due to sampling error.
To use the t-interval function on a TI 83 or TI 84 calculator to calculate a 95% confidence interval for the true population means the age of Camden County College students, we need to enter the following values:
The sample mean (24 years)
The sample size (21 students)
The standard deviation of the sample (4 years)
The confidence level (95%)
The t-interval function will then calculate the 95% confidence interval for the true population mean age, which in this case is (22.8, 25.2) years. This means that we can be 95% confident that the true population means the age of Camden County College students is within this range.
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calculate the taylor polynomials 2 and 3 centered at =2 for the function ()=4−7. (use symbolic notation and fractions where needed.)
Answers
Both the degree 2 and degree 3 Taylor polynomials centered at a = 2 for the function f(x) = 4x - 7 are given by P_2(x) = 4x - 7 and P_3(x) = 4x - 7, respectively.
To calculate the Taylor polynomials of degree 2 and 3 centered at a = 2 for the function f(x) = 4x - 7, we will use the Taylor series expansion formula:
P_n(x) = f(a) + f'(a)(x - a) + (1/2!)f''(a)(x - a)^2 + ... + (1/n!)f^n(a)(x - a)^n
where P_n(x) is the Taylor polynomial of degree n, f'(x) represents the first derivative of f(x), f''(x) represents the second derivative, and f^n(x) represents the nth derivative of f(x).
First, let's calculate the derivatives of f(x):
f'(x) = 4
f''(x) = 0
f'''(x) = 0
Now, we can evaluate the Taylor polynomials of degree 2 and 3 centered at a = 2.
Degree 2 Taylor Polynomial:
P_2(x) = f(a) + f'(a)(x - a) + (1/2!)f''(a)(x - a)^2
= f(2) + f'(2)(x - 2) + (1/2!)f''(2)(x - 2)^2
First, let's find the values of f(2), f'(2), and f''(2):
f(2) = 4(2) - 7 = 1
f'(2) = 4
f''(2) = 0
Now we substitute these values into the degree 2 Taylor polynomial:
P_2(x) = 1 + 4(x - 2) + (1/2!)(0)(x - 2)^2
= 1 + 4(x - 2)
= 1 + 4x - 8
= 4x - 7
Therefore, the degree 2 Taylor polynomial centered at a = 2 for the function f(x) = 4x - 7 is P_2(x) = 4x - 7.
Degree 3 Taylor Polynomial:
P_3(x) = f(a) + f'(a)(x - a) + (1/2!)f''(a)(x - a)^2 + (1/3!)f'''(a)(x - a)^3
Again, let's find the values of f(2), f'(2), f''(2), and f'''(2):
f(2) = 4(2) - 7 = 1
f'(2) = 4
f''(2) = 0
f'''(2) = 0
Now we substitute these values into the degree 3 Taylor polynomial:
P_3(x) = 1 + 4(x - 2) + (1/2!)(0)(x - 2)^2 + (1/3!)(0)(x - 2)^3
= 1 + 4(x - 2)
Therefore, the degree 3 Taylor polynomial centered at a = 2 for the function f(x) = 4x - 7 is also P_3(x) = 4x - 7.
In summary, both the degree 2 and degree 3 Taylor polynomials centered at a = 2 for the function f(x) = 4x - 7 are given by P_2(x) = 4x - 7 and P_3(x) = 4x - 7, respectively.
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Plz help!!! It is 2.389 x 10 miles to the moon from the Earth. How many miles will it be if you go to the moon and
back two times? Write your answer in scientific not
Answers
Answer:
47.78
Step-by-step explanation: 2.389 times 10 = 23.89 x 2 = 47.78
What is the length of the unknown leg of
the right triangle rounded to the nearest
tenth of a meter?
11 m
?
42.8 m
Answers
Answer:
The length of the unknown leg is 5.66 yards
Step-by-step explanation:
\(Hypotenuse^2=opposite^2-adjacent^2\)
\(Hyp^2=opp^2+adj^2\)
\(Hyp=\sqrt{42.8}\) \(yards\)
\(Opp=\sqrt{11}\) \(yards\)
\(Adj=?\)
\(Adj^2=Hyp^2-opp^2\)
\(=(\sqrt{42.8} )^2-(\sqrt{11} )^2\)
\(=42.8-11\)
\(=31.8\) → \(32\)
\(Adj^2=32\)
\(Adj=\sqrt{32}\)
= 5.66 yards
Hi! I need help with this:
A factory makes light bulbs. The probability that a bulb is defective is 1/12. Of 600 light bulbs are tested, about how many are expected to be defective?
If you can help then thanks <3
Answers
==========================================================
Explanation:
We simply multiply the two values given to us
600*(1/12) = 600/12 = 50
We expect about 50 bulbs to be defective.
Note how if we had 50 bad bulbs, then 50/600 = (1*50)/(12*50) = 1/12 of the batch of 600 bulbs is defective.
Reduce to simplest form. -15/12-(-9/3)
Answers
Answer: the simplest for is -4.25
Step-by-step explanation:
Lynne is rolling a six-sided number cube repeatedly. Her goal is to roll an even number 23 times. How many times should Lynne expect to have to roll the number cube to result in an even number 23 times? Enter your answer in the box to correctly complete the statement
Answers
Using the binomial distribution, it is found that she should expect to roll the number cube 46 times.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected number of trials until q successes is:
\(E_s(X) = \frac{q}{p}\)
In this problem:
She wants 23 successes, hence q = 23.Of the six numbers on the cube, three are even, hence the probability of a success on a trial is of p = 3/6 = 0.5.Then:
\(E_s(X) = \frac{23}{0.5} = 46\)
She should expect to roll the number cube 46 times.
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Answer:
answer is 46.
Step-by-step explanation:
what’s the equation for the line that goes through (-8,-8) and (-7, 9)
Answers
The equation of the line is 17x-y+128=0
What is a line?
⇒ A line is just a line with no curves. So, a line that extends to both sides till infinity and has no curves is called a straight line.
What is the slope of a line?
⇒ The slope of a line, also known as the gradient is defined as the value of the steepness or the direction of a line in a coordinate plane.
Calculation:
We have to find the equation of the line passing through the points (-8,-8) and (-7, 9)
⇒ So first we have to find the slope of the line
We can find the slope by using the slope formula which is
⇒ m=(y2-y1)/(x2-x1) , slope is denoted by m
m=(9-{-8})/(-7-{-8})
m=17/1
m=17
So the slope of the line passing through the point(-8,-8) and (-7, 9) is 17
To find the equation of a line passing through (-8,-8) and having a slope of 17 can be found by applying the slope point formula
⇒ (y-y₁)=m(x-x₁)
(y-{-8})=17(x-{-8})
y+8=17(x+8)
y+8=17x+136
So the equation of the line is 17x-y+128=0
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If 50 of 250 people contacted make a donation to the city symphony, then the relative frequency method assigns a probability of .2 to the outcome of making a donation. True False
Answers
The statement "The relative frequency method assigns a probability of .2 to the outcome of making a donation" is true.
The relative frequency method assigns probabilities based on the observed relative frequencies of events in a sample. In this case, out of 250 people contacted, 50 made a donation to the city symphony. The relative frequency of making a donation is 50/250 = 0.2. Therefore, the relative frequency method assigns a probability of 0.2 to the outcome of making a donation.
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T models the temperature (in degrees Celsius) in New York City when it's t hours after midnight on a given day. Match each statement with the feature of the graph that most closely corresponds to it.
Answers
Answer:
Y Intercept: It was 3C at the beginning of the day.
Positive or negative interval: The temperature was above zero between 8 am and 8 pm.
Increasing or decreasing interval: It was getting warmer between 2 am and 2 pm
Step-by-step explanation:
Features matching the correct statements are:
y intercept: It was ₋3°C at the beginning of the day.
Positive or negative interval: The temperature was above zero between 8 am and 8 pm.
Increasing or decreasing interval: It was getting warmer between 2am and 2 pm.
What is the temperature graph over time?
The x-axis in a time-temperature graph, sometimes known as a "x-y graph," depicts time, and the y-axis the temperature. The temperature's relationship to time is depicted on the graph.
we can notice in the given graph that T(t) represents the time and t represents the temperature of the city.
So we see when lowercase t when time is zero(0), zero hours after midnight the temperature in the New York city is negative 3°C(₋3°C) so it was ₋3°C at the beginning of the day since the true beginning of the day is right at midnight. Hence y intercept tells us that it was ₋3°C at the beginning of the day. Then about the positive or negative interval we can notice from the graph that we have a negative interval from time equals zero to time equals eight which means the temperature is negative as it goes below zero and from 8 am to 8 pm we can see that the temperature goes positive and then it dips down to negative again. So a positive or negative interval tells us about when the temperature was above xero between 8 am and 8 pm.The increasing and decreasing interval, here we see that the function is increasing as t increases so does the temperature, all the way to 2 pm. Hence, we are just using the increasing interval to match the statement that it was getting warmer between 2 am and 2 pm.Hence we get the statements match to their features.
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PLZ HELPPPPPP
Which expression is equivalent to 9(15)?
9(1+5)
9(10+50)
9(1+50)
9(10+5)
Answers
Answer:
Option D: 9(10+5)
Step-by-step explanation:
We can simplify each option choice to see if they match the expression given.
===========================================
Use PEMDAS. Add what's in the parentheses.
\(A)\text{ 9(1+5)}\rightarrow 9(6)\\\\B)\text{ 9(10+50)}\rightarrow 9(60)\\\\C)\text{ 9(1+50)}\rightarrow 9(51)\\\\D)\text{ 9(10+5)}\rightarrow \boxed{9(15)}\)
Option D's expression is equivalent to 9(15).
===========================================
Hope this helps.
Answer:
9 (10 + 5)
Step-by-step explanation:
9 is on the outside and 10 + 5 is 15 and i did the test. can i get brainliest?
If you fit a slope and intercept at the same time, then their errors will be correlated. True or False?
Answers
The given statement "if you try to match a slope and an intercept at the same time, their mistakes will be related" is TRUE.
What is the intercept?A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis.
This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y.
These points satisfy x = 0 because of this.
The errors of a slope and an intercept will be connected if you fit them simultaneously.
By changing Y to 0 in the equation and figuring out X, you can always determine the X-intercept.
Similarly, by putting X to 0 in the equation and solving for Y, you can always determine the Y-intercept.
Therefore, the given statement "if you try to match a slope and an intercept at the same time, their mistakes will be related" is TRUE.
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Justine just ran her first race. Her distance from the finish line decreased as she ran.
This situation can be modeled as a linear relationship.
What does the y-intercept of the line tell you about the situation?
Answers
The y-intercept of a linear equation represents the value of the dependent variable when the independent variable is equal to zero.
What is linear equation?
A linear equation is a mathematical equation of the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept.
What is y-intercept?
In a linear equation of the form y = mx + b, the y-intercept (b) is the point where the line intersects the y-axis.
According to given information:The y-intercept of a linear equation represents the value of the dependent variable when the independent variable is equal to zero. In the context of Justine's race, the y-intercept would represent her starting distance from the finish line.
It would be the distance from the finish line when she began the race, or the distance she would have to run to reach the finish line if she started at the beginning. The slope of the line would tell you how much the distance decreases as she runs.
Together, the y-intercept and slope of the line can provide useful information for understanding and analyzing Justine's race.
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The answer of the given question based on the linear relationship is , the y-intercept gives information about Justine's initial position or starting point before she started running the race.
What is Linear relationship?A linear relationship is a type of relationship between two variables where their relationship can be described by a straight line. In other words, the change in one variable is directly proportional to the change in the other variable. This means that as one variable increases or decreases, the other variable also changes in a consistent and predictable way. Linear relationships are commonly studied in mathematics, statistics, and other fields as they provide a useful framework for understanding the relationship between two variables and making predictions based on that relationship.
In the context of this linear relationship, the y-intercept represents the starting point of Justine's race. It is the point where her distance from the finish line is zero, which is the beginning of the race. Therefore, the y-intercept gives information about Justine's initial position or starting point before she started running the race.
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The model represents an equation. What value of x makes the equation true?
Please write an explanation on why. I don’t just want the answer I actually want to learn and understand it, thank you! :>
Answers
Answer:
A) 29/8
Step-by-step explanation:
On the left side of the equals sign, we have five x's and nine -1's.
On the right side of the equals sign, we have three -x's and twenty 1's.
Both sides are equal, so:
5(x) + 9(-1) = 3(-x) + 20(1)
5x − 9 = -3x + 20
Add 3x to both sides.
8x − 9 = 20
Add 9 to both sides.
8x = 29
Divide both sides by 8.
x = 29/8
what feature(s) about a relationship can be observed from examining a scatterplot of two quantitative variables x and y?
Answers
By examining a scatterplot, you can gain valuable insights into the relationship between the two quantitative variables x and y, such as direction, strength, form, and outliers.
From examining a scatterplot of two quantitative variables x and y, you can observe the following features about the relationship between the variables:
1. Direction: You can determine whether the relationship between the variables is positive (both variables tend to increase or decrease together) or negative (one variable tends to increase while the other tends to decrease).
2. Strength: You can assess the strength of the relationship by observing how closely the data points are clustered around an imaginary line (e.g., a straight or curved line). A strong relationship has points closely clustered, while a weak relationship has points more scattered.
3. Form: You can identify the form of the relationship, such as linear (points form a straight line) or nonlinear (points form a curve).
4. Outliers: You can detect any outliers, which are data points that do not follow the general pattern of the relationship between the variables.
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provide the missing information. the function f : = {(1, 5), (-2, 3), (-4, 2), (2, 5)} (is/is not) a one-to-one function. please respond only with: is or is not answer:
Answers
The function f: {(1, 5), (-2, 3), (-4, 2), (2, 5)} is a one-to-one function. It satisfies condition where each input value maps to unique output value, ensuring no repetition or multiple inputs leading to the same output.
A one-to-one function, also known as an injective function, is a type of function where each input value is uniquely mapped to an output value. In the given function f: {(1, 5), (-2, 3), (-4, 2), (2, 5)}, we can observe that each input value corresponds to a distinct output value. For example, the input 1 is mapped to the output 5, and no other input has the same output. Similarly, the inputs -2, -4, and 2 are associated with the outputs 3, 2, and 5 respectively, without any repetition.
This lack of repetition or duplication in the outputs demonstrates that the function is one-to-one. Each input has a unique correspondence with its output, and no two different inputs yield the same output value. Therefore, based on the provided set of mappings, we can conclude that the function f is indeed a one-to-one function.
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Renee bought a magazine subscription for a year. She paid $27. Renee wanted to find the price, p, of the subscription each month. She created the model shown to help find this price.
Answers
Part C Explain how your net created in part B can help Leonora's family determine the amount of plastic they will need to wrap around each hay bale. В І U X2 X2 15px : E 09 Characters used: 0 / 15000 Leonora's family is considering completely wrapping their hay bales in plastic for transport to protect them from water damage. The hay bales all roughly have the dimensions shown. 20 3.5 ft
Answers
Leonora's family will need approximately 1,550 pounds of plastic to wrap around all the hay bales.
Part C: Net created in part B can help Leonora's family determine the amount of plastic they will need to wrap around each hay bale.In part B, we found that the surface area of each hay bale is 94.5 square feet.
The dimensions of the rectangles are 3.5 ft by 8 ft, 3.5 ft by 4 ft, 3.5 ft by 4 ft, 3.5 ft by 4 ft, 3.5 ft by 4 ft, 3.5 ft by 8 ft, and 3.5 ft by 20 ft.
The dimensions of the squares are 8 ft by 8 ft and 20 ft by 20 ft.
Therefore, the total surface area of each hay bale is:Area of 3.5 ft by 8 ft rectangle = 3.5 ft x 8 ft = 28 sq ft
Area of 3.5 ft by 4 ft rectangle = 3.5 ft x 4 ft = 14 sq ft
Area of 8 ft by 8 ft square = 8 ft x 8 ft = 64 sq ft
Area of 3.5 ft by 4 ft rectangle = 3.5 ft x 4 ft = 14 sq ft
Area of 3.5 ft by 4 ft rectangle = 3.5 ft x 4 ft = 14 sq ft
Area of 3.5 ft by 8 ft rectangle = 3.5 ft x 8 ft = 28 sq ft
Area of 20 ft by 20 ft square = 20 ft x 20 ft = 400 sq ft
Area of 3.5 ft by 4 ft rectangle = 3.5 ft x 4 ft = 14 sq ft
Area of 3.5 ft by 20 ft rectangle = 3.5 ft x 20 ft = 70 sq ft
Total surface area of each hay bale = 28 + 14 + 64 + 14 + 14 + 28 + 400 + 14 + 70 = 646 sq ft
Therefore, the total surface area of all the hay bales is:
Total surface area = Number of hay bales x Surface area of each hay bale
Total surface area = 24 x 646
Total surface area = 15,504 sq ft
To calculate the amount of plastic needed, we need to use the density of the plastic.
Let's assume the plastic has a density of 0.1 pounds per square foot.
Then the total weight of the plastic needed is:
Weight of plastic = Total surface area x Density of plastic
Weight of plastic = 15,504 x 0.1
Weight of plastic = 1,550.4 pounds
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Evaluate p2 - r2 for p = 10, r = -4 and t = 5.
Answers
Answer:
84
Step-by-step explanation:
p^2-r^2= 10^2-(-4)^2
100-16=84
A company buys machinery for $500000 and pays it off by 20 equal six-monthly instalments, the first payment being made six months after the loan is taken out. If the interest rate is 12%pa, compounded monthly, how much will each instalment be?
Answers
Each installment will be approximately $15,280.55.
To calculate the equal six-monthly installment, we can use the formula for the present value of an annuity.
Principal amount (P) = $500,000
Interest rate (r) = 12% per annum = 12/100 = 0.12 (compounded monthly)
Number of periods (n) = 20 (since there are 20 equal six-monthly installments)
The formula for the present value of an annuity is:
\(P = A * (1 - (1 + r)^(-n)) / r\)
Where:
P = Principal amount
A = Equal installment amount
r = Interest rate per period
n = Number of periods
Substituting the given values into the formula, we have:
$500,000 = \(A * (1 - (1 + 0.12/12)^(-20)) / (0.12/12)\)
Simplifying the equation:
$500,000 = A * (1 - (1.01)^(-20)) / (0.01)
$500,000 = A * (1 - 0.6726) / 0.01
$500,000 = A * 0.3274 / 0.01
$500,000 = A * 32.74
Dividing both sides by 32.74:
A = $500,000 / 32.74
A ≈ $15,280.55
Therefore, each installment will be approximately $15,280.55.
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Find gradient of y=x^2-4x+6 at (3,3)
Answers
\(y=x^2-4x+6\\y'=2x-4\)
To find the slope/gradient of the curve at the specific point, we use the derivative.
Then substitute x = 3 in y' = 2x-4
\(y'=2(3)-4\\y'=6-4\\y'=2\)
Therefore, the slope/gradient of y = x²-4x+6 at (3,3) is 2.
Three artificial flaws in type 316L austenitic stainless steel plates were fabricated using a powderbed-based laser metal additive manufacturing machine. The three artificial flaws were designed to have the same length, depth, and opening.
Flaw A is a simple rectangular slit with a surface length of 20 mm, depth of 5 mm, and opening of 0.4 mm, which was fabricated as a reference.
Flaw B simulates a flaw branched inside a material
Flaw C consists of 16 equally spaced columns
What type of probe do you propose to be used and suggest a suitable height, diameter and frequency? The flaws were measured by eddy current testing with a constant lift-off of 0.2 mm.
Draw the expected eddy current signals on the impedance plane and explain, in your words, why the eddy current signals appear different despite the flaws having the same length and depth
Answers
Step 1: The proposed probe for flaw detection in type 316L austenitic stainless steel plates is an eddy current probe with a suitable height, diameter, and frequency.
Step 2: Eddy current testing is an effective non-destructive testing method for detecting flaws in conductive materials. In this case, the eddy current probe should have a suitable height, diameter, and frequency to ensure accurate flaw detection.
The height of the probe should be adjusted to maintain a constant lift-off of 0.2 mm, which is the distance between the probe and the surface of the material being tested. This ensures consistent measurement conditions and reduces the influence of lift-off variations on the test results.
The diameter of the probe should be selected based on the size of the flaws and the desired spatial resolution. It should be small enough to accurately detect the flaws but large enough to cover the entire flaw area during scanning.
The frequency of the eddy current probe determines the depth of penetration into the material. Higher frequencies provide shallower penetration but higher resolution, while lower frequencies provide deeper penetration but lower resolution. The frequency should be chosen based on the expected depth of the flaws and the desired level of sensitivity.
Overall, the eddy current probe with suitable height, diameter, and frequency can effectively detect the artificial flaws in type 316L austenitic stainless steel plates fabricated using a powderbed-based laser metal additive manufacturing machine.
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What is the area of the drawing of the drawing of the sailboat in square centimeters?
Answers
60 cm^2
Explanation:
The area of the drawing of the sailboat is of 2 triangles (the sails) and 1 rectangle (the boat).
The idea is, to sum up the area of these shapes, to get the area of the sailboat:
Formulas:
. Triangle : height * base
Triangle 1: 6 cm * 2 cm = 12 cm^2
Triangle 2: 6 cm * 3 cm = 18 cm^2
. Rectangle: height * width
2.5 cm * 12 cm = 30 cm ^2
Solution:
The area of the sailboat = 12 + 18 + 30 = 60 cm^2
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use the couple of lines for #4
Answers
Answer:
#2 Alternate interior angles: 4 & 5 and 3 and 6
#4 :
m∠6 = 55°
m∠3 = 55°
m∠1 = 125°
Reasons: See below
Step-by-step explanation:
Angles 6 and 8 are supplementary angles since they are on the same straight line intersected by another straight line.
So m∠6 + m∠8 = 180
m∠6 + 125 = 180
m∠6 = 180-125= 55°
Angles 3 and 6 are alternate interior angles and equal to each other
m∠3 = m∠6 = 55°
Angles 1 and 3 are supplementary angles whose sum of measures should add up to 180°
m∠1 + m∠3 = 180
m∠1 + 55 = 180
m∠1 = 180-55 = 125°
What is the solution to this rational equation? 24-x-8=4 A. x = -2 B. x = 2 C. x = 4 D. x = 14
Answers
Answer:x=14
Step-by-step explanation:
for plato users
The solution of the rational equation 24/(x-8) = 4 is x = 14.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
A rational equation,
24/(x-8) = 4.
Simplifying,
x - 8 = 6
x = 8 + 6
x = 14.
Therefore, the value of x is 14.
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