Calculate the mode of the data set {5, 8, 2, 5, 11, 2, 5, 13}
PLS HELP
Answer:
5
Step-by-step explanation:
The mode is the most commonly occurring number in a set of numbers. In this one it is 5.
What's the answer!!!!! ASAP
The number of hits the player that most outperformed the predicted number of home runs based on the model is: 163 hits.
What is a Model?A model can be represented by an equation in slope-intercept form which can be used to make predictions between the association or relationship between two variables.
From the details about the predictions given in the table above, 7 players outperformed the predicted number of home runs.
However, the player that outperformed the predicted number of home runs the most is the player that had 31 home runs with a predicted home run of 23.
The number of hits the player had was 163.
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what is the 7th term of the geometric sequence where a1 = 625 and a2 = −125? (1 point) −0.2 0.2 −0.04 0.04
According to the statement the 7th term of the geometric sequence with first term 625 and common ratio -1/5 is 0.04.
The geometric sequence given by a₁ = 625 and a₂ = -125 will be given by the formula:an = a₁rⁿ⁻¹ where r is the common ratio. To find r, we can use the formula for the common ratio: r = a₂ / a₁. Thus, r = (-125) / 625 = -1 / 5.Hence, the formula of the sequence is an = 625 (-1 / 5)ⁿ⁻¹.To find the 7th term of this sequence, we can substitute n = 7 into the formula above: a₇ = 625 (-1 / 5)⁷⁻¹. In mathematics, a sequence is a series of numbers or other things in which each item is referred to as a term.
A geometric sequence is a sequence in which each term is obtained by multiplying the previous term by a fixed constant. The formula for the nth term of a geometric sequence is an = a₁rⁿ⁻¹, where a₁ is the first term, r is the common ratio, and n is the number of the term.
The problem provides us with the first two terms of the geometric sequence, a₁ = 625 and a₂ = -125. To find the common ratio, we can use the formula: r = a₂ / a₁. In this case, r = (-125) / 625 = -1 / 5.Using the formula an = a₁rⁿ⁻¹, we can find any term in the sequence. In this case, we want to find the 7th term, so we plug in n = 7 into the formula:an = 625 (-1 / 5)⁷⁻¹ = 625 (-1 / 5)⁶ = 0.04.
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PLEASE HURRY
The equation y = 1.6x represents the number of laps Henry can swim over time, where y is the number of laps and x is time in minutes. This table shows the number of laps Larry can swim over time.
How many laps can each boy complete per minute, and who can swim laps at a faster rate?
Select from the drop-down menu to correctly complete the statements.
Henry swims at 11.6 laps per minute and Larry swims at 21.8 laps per minute. Henry swims at a 3slower rate than Larry.
Henry swims at 1.6 laps per minute and Larry swims at 7 laps per minute. Henry swims at a 5.4 slower rate than Larry.
How to complete the blanks?From the question, we have the following parameters that can be used in our computation:
The equation and the graph
From the equation, we have
Henry: y = 1.6x
Larry: y = 7x
The coefficients of x in the above equations represent their rates
This means that
Henry: = 1.6 laps per minute
Larry:= 7 laps per minute
When the rates are compared, we have
Difference = 7 -1.6
Evaluate
Difference = 5.4
Hence, the values that complete the blanks are 1.6, 7 and 5.4
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a hostel gets rs 5000000 net profit in a year .the hostel distributes rs 50000 to each workers equally .find the total amount of bonus received by 55 workers
Answer:
pls state the question in another state
Step-by-step explanation:
okay
T/F - If A and B are n x n and invertible, then A^-1B^-1 is the inverse of AB.
The given statement " If A and B are n x n and invertible, then A⁻¹B⁻¹ is the inverse of AB." is true because A and B are invertible matrices, it means that they both have an inverse (A⁻¹and B⁻¹, respectively). The product of A and B, represented by AB, is also an n x n matrix.
To show that A⁻¹B⁻¹is the inverse of AB, we must demonstrate that the product of (AB) and (A⁻¹B⁻¹) results in the identity matrix, which is an n x n matrix with 1s along the diagonal and 0s elsewhere.
To verify this, we'll multiply (AB) with (A⁻¹B⁻¹) and check if the result is the identity matrix:
(AB)(A⁻¹B⁻¹) = A(BA⁻¹)B⁻¹ (associative property of matrix multiplication)
Since B and A^-1 are inverses of each other, their product equals the identity matrix:
A(BA⁻¹)B⁻¹= AI B⁻¹(where I is the identity matrix)
Multiplying A and I doesn't change A:
AI B⁻¹= A B⁻¹
Now, A and B⁻¹are inverses of each other as well, so their product also equals the identity matrix:
A B⁻¹= I
Thus, A⁻¹B⁻¹ is indeed the inverse of AB, as the product of (AB) and (A⁻¹B⁻¹) results in the identity matrix.
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n a regression analysis of on-the-job head injuries of warehouse caused by falling[30] objects, y is a measure of severity of the injury, x1 is an index reflecting both the weight of the object and the distance it fell, and x2 and x3 are indicator variables for nature of head protection worn at the time of the accident, coded as follows:
The regression analysis of on-the-job head injuries of warehouse caused by falling objects involves the use of x1 to predict the severity of the injury and x2 and x3 to predict the severity of the injury .
Regression analysis is used to determine the relationship between the independent variable(s) and the dependent variable(s).
In this particular analysis, the focus is on the on-the-job head injuries of warehouse caused by falling objects.
The independent variables of this analysis include x1, x2 and x3 while the dependent variable is y. X1 is an index reflecting both the weight of the object and the distance it fell.
This variable can be used to predict the severity of the injury. If the object is heavy and falls from a great height, it is likely to cause more severe injuries as compared to when it falls from a lower height and is lighter in weight.
X2 and x3 are indicator variables for nature of head protection worn at the time of the accident. These variables are coded as follows: 0 - head protection not worn and 1 - head protection worn.
These variables can be used to predict the severity of the injury in case head protection was not worn. When head protection is not worn, there is a high probability of the injuries being more severe as compared to when it is worn.
In conclusion, the regression analysis of on-the-job head injuries of warehouse caused by falling objects involves the use of x1 to predict the severity of the injury and x2 and x3 to predict the severity of the injury in cases where head protection was not worn.
The results of this analysis can be used to identify areas of weakness in terms of safety and to
develop interventions aimed at reducing the incidence and severity of such injuries.
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A dump truck pours sand into a container in the shape of a rectangular prism with a square base of length 2 feet. The height, h, of the sand in the container increases at a rate of approximately 8 inches per minute. Create an equation that models the volume, V, of the sand in the container in terms of h, then use the equation to determine the time at which the volume is 64 cubic feet. Note that the volume of a rectangular prism is V=l×w×h, where l, w, and h are the length, width, and height of the prism.
Answer:
I think the answer is 24 minutes!
Step-by-step explanation:
I hope this helps!
Answer:6+89
Step-by-step explanation:439+3947+v=90
what is the median
9798788
Answer:
median = 8
Step-by-step explanation:
Organize the numbers in order from least to greatest
7 7 8 8 8 9 9
Then cross one number from the left and one from the right until you are left with 1 number in the middle
So like:
7 7 8 8 8 9 9 (the bold numbers are the numbers I crossed)
I'm left with 8 so that is the median
Which expression has the greatest value?
Answer:
the answer is 16^3/2
Step-by-step explanation:
I took the Iready test too ;)
Yo I need help with this
The angles in triangle LJK from smallest to largest are K (38.7°) < L (58.7°) < J (73.6°).
Describe Triangles?In geometry, a triangle is a three-sided polygon with three angles and three sides. Triangles are one of the fundamental shapes in geometry, and they play an essential role in many areas of mathematics and science.
The sides of a triangle are the line segments that connect its vertices, and the angles of a triangle are the angles formed by the intersection of its sides. The sum of the angles in a triangle is always 180 degrees.
Triangles can be classified based on the size of their sides and angles. A scalene triangle has no sides or angles that are equal, while an isosceles triangle has two sides that are equal and two angles that are equal. An equilateral triangle has three sides that are equal, and all three angles are equal.
To determine the order of the angles in triangle LJK from smallest to largest, we can use the Law of Cosines to calculate the measures of the angles opposite each side:
cos(L) = (J² + K² - L²) / 2JK
cos(K) = (J² + L² - K²) / 2JL
cos(J) = (K² + L² - J²) / 2KL
where L, J, and K are the measures of angles opposite sides of lengths KL, LJ, and JK, respectively.
Using the given side lengths, we can calculate the cosines of each angle as follows:
cos(L) = (18² + 14² - 16²) / (2 * 18 * 14) = 0.5207
cos(K) = (18² + 16² - 14²) / (2 * 18 * 16) = 0.7738
cos(J) = (14² + 16² - 18²) / (2 * 14 * 16) = 0.1154
To find the measures of the angles, we can take the inverse cosine (cos⁻¹) of each value:
L = cos⁻¹(0.5207) = 58.7°
K = cos⁻¹(0.7738) = 38.7°
J = cos⁻¹(0.1154) = 73.6°
Therefore, the angles in triangle LJK from smallest to largest are:
K (38.7°) < L (58.7°) < J (73.6°)
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The angles in the triangle from smallest to largest are J, K, L. the sides in the triangle from shortest to longest as follows LN, MN, LM.
Describe Triangles?In geometry, a triangle is a three-sided polygon with three angles and three sides. Triangles are one of the fundamental shapes in geometry, and they play an essential role in many areas of mathematics and science.
The sides of a triangle are the line segments that connect its vertices, and the angles of a triangle are the angles formed by the intersection of its sides. The sum of the angles in a triangle is always 180 degrees.
Triangles can be classified based on the size of their sides and angles. A scalene triangle has no sides or angles that are equal, while an isosceles triangle has two sides that are equal and two angles that are equal. An equilateral triangle has three sides that are equal, and all three angles are equal.
For Triangle LJK:
We can use the Law of Cosines to find the angles in the triangle:
cos(L) = (J² + K² - L²) / (2JK)
cos(K) = (J² + L² - K²) / (2JL)
cos(J) = (K² + L² - J²) / (2KL)
Plugging in the given values, we get:
cos(L) = (18² + 14² - 16²) / (21814) = 0.156
cos(K) = (16² + 14² - 18²) / (21614) = 0.429
cos(J) = (18² + 16² - 14²) / (21816) = 0.783
Using the inverse cosine function, we can find the angles:
L = acos(0.156) = 80.7 degrees
K = acos(0.429) = 65.9 degrees
J = acos(0.783) = 33.4 degrees
Therefore, the angles in the triangle from smallest to largest are: J, K, L.
For Triangle LMN:
We know that the sum of the angles in a triangle is 180 degrees. Therefore, we can find the third angle:
angle LNM = 180 - 46 - 98 = 36 degrees
Since angle LMN is the smallest angle, we can order the sides in the triangle from shortest to longest as follows:
LN, MN, LM
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The complete question is:
1) Order the angles in the triangle from smallest to largest.
In Δ LJK, LJ= 16 Yd, JK= 18 yd, KL= 14 yd
2) Order the sides in the triangle from shortest to longest.
In ΔLMN, ∠ LMN= 46°, ∠ NLM= 98°, ∠ MNL= 36°
HELP PLEASE!
Line 1 is parallel to line 2. Which of the following statements is true?
Answer to this question ?
Answer:
(x - 10)(x - 3)
Step-by-step explanation:
You have to think of numbers that multiply up to 30 and add up to 13. So you eliminate the numbers down to 10 and 3, because you can add up to 13 and multiply to 30. Now you have to find how it adds up to negative 13 and multiply it to postive 30. 2 negatives make a positive when multiplying, and 2 negatives added together make another negative, so your roots are 10 and 3. Put that into factored form and you have (x - 10)(x - 3).
Alternatively you can either graph to find its zeros or guess-and-check.
What could the equation of these two lines be?
Answer:
I think it's y=mx+b
Step-by-step explanation:
Sean bought 1.8 pounds of gummy bears and 0.6 pounds of jelly beans and paid $10.26. He went back to the store the following week and bought 1.2 pounds of gummy bears and 1.5 pounds of jelly beans and paid $15.09. What is the price per pound of each type of candy?
Answer:
1 pound of gummy bears = $3.20
1 pound of jelly beans = $7.50
Step-by-step explanation:
1.8 pounds of gummy bears + 0.6 pounds of jelly beans
= $10.26
1.2 pounds of gummy bears + 1.5 pounds of jelly beans
= $15.09
2.5 × (1.8 pounds of gummy bears + 0.6 pounds of jelly beans) = 2.5 × $10.26
--> 4.5 pounds of gummy bears + 1.5 pounds of jelly beans = $25.65
(4.5 pounds of gummy bears + 1.5 pounds of jelly beans) - (1.2 pounds of gummy bears + 1.5 pounds of jelly beans) = 3.3 pounds of gummy bears
3.3 pounds of gummy bears
= $25.65 - $15.09
= $10.56
1 pound of gummy bears
= $10.56 ÷ 3.3
= $3.20
1 pound of jelly beans
= [$10.26 - ($3.20 × 1.8)] ÷ 0.6
= $4.50 ÷ 0.6
= $7.50
A dragon can fly 50 feet in 2. Second. About how far can adragon fly in 11 secs
Answer:
275
Step-by-step explanation:
use a table, an equation, and a graph to represent:sue swims 1.5 laps per minute
Represent the situation by using a function. If Sue swims 1.5 laps per minute, the equation that represents this situation is
\(y=1.5x\)Where y is the number of laps and x is the time in minutes
With this equation you can make a table
Finally, make the graph
The annual per capita consumption of milk is 21. 6 gallons. Being from the Midwest, you believe milk consumption is higher and wish to support your opinion. A sample of 16 individuals from the midwestern town of Webster City showed a sample mean annual consumption of 24. 1 gallons with a standard deviation of 4. 8. A. Develop a hypothesis test that can be used to determine whether the mean annual consumption in Webster City is higher than the national mean. B. What is a point estimate of the difference between mean annual consumption in Webster City and the national mean?c. At α = 0. 05, test for a significant difference. What is your conclusion?
a) Null Hypothesis is μ ≤ 21.6 and Alternative Hypothesis is μ > 21.6.
b) Point estimate of the difference between mean annual consumption in Webster City and the national mean is 2.5.
c) We can conclude that there is sufficient evidence to suggest that the mean annual consumption of milk in Webster City is higher than the national mean.
A. The hypothesis test to determine whether the mean annual consumption in Webster City is higher than the national mean can be set up as follows:
Null Hypothesis: μ ≤ 21.6
Alternative Hypothesis: μ > 21.6
where μ is the true population mean annual consumption of milk in Webster City.
B. The point estimate of the difference between mean annual consumption in Webster City and the national mean is simply the difference between the sample mean and the national mean:
Point Estimate = x' - μ = 24.1 - 21.6 = 2.5
C. To test for a significant difference at α = 0.05, we need to calculate the test statistic and compare it to the critical value.
t = (x' - μ) / (s / √n) = (24.1 - 21.6) / (4.8 / √16) = 2.083
Using a t-table with 15 degrees of freedom and a significance level of 0.05, we find the critical value to be 1.753. Since our test statistic (2.083) is greater than the critical value (1.753), we reject the null hypothesis.
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A bag contains 6 yellow marbles, 1 white marble, and 3 red marbles. What fraction of the marbles is yellow? Write the answer in simplest form.
Step-by-step explanation:
There are 6 + 1 + 3 = 10 marbles in total.
Out of these, 6 are yellow, so the fraction of yellow marbles is 6/10 = 3/5.
Convert the fraction into a percentage.
1
7
10
=
%
Answer:
170%
Step-by-step explanation:
5/8 - 3/10 can i please have help?
Answer:
Step-by-step explanation:
13/40 it can not be simplified any further.
What is the name of the equation for the regression line?
The name of the equation for the regression line is the Regression Equation.
Regression Line:
Regression is a statistical technique used in finance, investing, and other fields that attempts to determine the strength and nature of the relationship between one dependent variable (usually denoted Y) and several other variables (called independent variables).
Simple linear regression:
Y = a + bX+ u
Multiple linear regression:
Y = a + b₁ X₁ + b₂ X₂ + b₃ X₃ +..... + bₙ Xₙ +u
where:
Y = The dependent variable that can be predicted.
X =The independent variables that are used to predict
a = The y-intercept
b (beta coefficient) = is the slope of the independent variable(s)
u = The error term
Regression equation:
Regression equations are used in statistics to determine if there is any relationship between data sets. For example, if you measure a child's height every year, you'll find that they grow about 3 inches each year. This trend (growth of 3 inches per year) can be modeled using a regression equation. In fact, most things in the real world (from oil prices to hurricanes) can be modeled with a few equations. You can predict future events.
There are several types of regression equations. Some of the more common ones include exponential and simple linear regression (to fit data to an exponential or linear equation). The regression equation most likely to be encountered in elementary statistics takes the form of a linear one.
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Implication (p â q) consists of a pair of sentences separated by the â operator true or false
The implication (p â q) is a logical statement that consists of a pair of sentences, where p represents the antecedent and q represents the consequent.
These two sentences are connected by the a operator, which means "if...then." The implication is considered true if the antecedent is true and the consequent is also true, or if the antecedent is false. However, it is false only when the antecedent is true and the consequent is false. Therefore, the truth value of the implication depends on the truth value of its two component sentences.
True, the Implication (p → q) consists of a pair of sentences separated by the → operator. In this context, p and q represent two different sentences, and the → operator signifies that if p is true, then q must also be true. This is also known as a conditional statement.
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The cost of renting a canoe to use on River Y costs $20. The cost of renting a canoe to use on River Z costs $2 per hour plus a $12 deposit. The total cost, c, of renting a
canoe on either river for n hours can be represented by an equation. Write and graph a system to find how many hours you have to rent a canoe for the cost to be the same
on both rivers.
For the cost to be the same on both rivers, the canoe should be rented for 4 hours.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.Given is the the cost of renting a canoe to use on River Y costs $20. The cost of renting a canoe to use on River Z costs $2 per hour plus a $12 deposit.
For river [y], we can write -
y = 20x
For river [z], we can write -
y = 2x + 12
For equal cost -
2x + 12 = 20
2x = 8
x = 4 hours
The graph is plotted for each river and is attached.
Therefore, for the cost to be the same on both rivers, the canoe should be rented for 4 hours.
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Parallel / Perpendicular Practice
Convert all equations to slope intercept form. Show work.
Compare slopes. Determine if I or || or Neither
1. y = 3x + 1
y = x + 1
2. y=5x - 3
10x - 2y = 7
3. - 2x - 4y = -8
-2x + 4y = -8
4. 2y - x = 2
y = -2x + 4
5. 4y = 3x + 12
-3x+4y=2
6. 8x - 4y = 16
5y - 10=3
8. 2x - 5y=-3
5x + 27 = 6
7. 2x+6y=-3
12y = 4x + 20
The slope and intercept form is the form of the straight line equation that includes the value of the slope of the line
Neither ║Neither ⊥ ║ Neither Neither NeitherReason:
The slope and intercept form is the form y = m·x + c
Where;
m = The slope
Two equations are parallel if their slopes are equal
Two equations are perpendicular if the relationship between their slopes, m₁, and m₂ are; \(m_1 = -\dfrac{1}{m_2}\)
1. The given equations are in the slope and intercept form
\(\ y = 3 \cdot x + 1\)
The slope, m₁ = 3
\(y = \dfrac{1}{3} \cdot x + 1\)
The slope, m₂ = \(\dfrac{1}{3}\)
Therefore, the equations are neither parallel or perpendicular
Neither2. y = 5·x - 3
10·x - 2·y = 7
The second equation can be rewritten in the slope and intercept form as follows;
\(y = 5 \cdot x -\dfrac{7}{2}\)
Therefore, the two equations are parallel
║3. The given equations are;
-2·x - 4·y = -8
-2·x + 4·y = -8
The given equations in slope and intercept form are;
\(y = 2 -\dfrac{1}{2} \cdot x\)
Slope, m₁ = \(-\dfrac{1}{2}\)
\(y = \dfrac{1}{2} \cdot x - 2\)
Slope, m₂ = \(\dfrac{1}{2}\)
The slopes
Therefore, m₁ ≠ m₂
\(m_1 \neq -\dfrac{1}{m_2}\)
The lines are Neither parallel nor perpendicular
Neither4. The given equations are;
2·y - x = 2
\(y = \dfrac{1}{2} \cdot x +1\)
m₁ = \(\dfrac{1}{2}\)
y = -2·x + 4
m₂ = -2
Therefore;
\(m_1 \neq -\dfrac{1}{m_2}\)
Therefore, the lines are perpendicular
⊥5. The given equations are;
4·y = 3·x + 12
-3·x + 4·y = 2
Which gives;
First equation, \(y = \dfrac{3}{4} \cdot x + 3\)
Second equation, \(y = \dfrac{3}{4} \cdot x + \dfrac{1}{2}\)
Therefore, m₁ = m₂, the lines are parallel
║6. The given equations are;
8·x - 4·y = 16
Which gives; y = 2·x - 4
5·y - 10 = 3, therefore, y = \(\dfrac{13}{5}\)
Therefore, the two equations are neither parallel nor perpendicular
Neither7. The equations are;
2·x + 6·y = -3
Which gives \(y = -\dfrac{1}{3} \cdot x - \dfrac{1}{2}\)
12·y = 4·x + 20
Which gives
\(y = \dfrac{1}{3} \cdot x + \dfrac{5}{3}\)
m₁ ≠ m₂
\(m_1 \neq -\dfrac{1}{m_2}\)
Neither8. 2·x - 5·y = -3
Which gives; \(y = \dfrac{2}{5} \cdot x +\dfrac{3}{5}\)
5·x + 27 = 6
\(x = -\dfrac{21}{5}\)
Therefore, the slopes are not equal, or perpendicular, the correct option is NeitherLearn more here:
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2/3 ÷ 8/9 with explanation and steps...
Answer:
2/3 ÷ 8/9
\( \frac{2}{3} \div \frac{8}{9} \)
\( \frac{2}{3} \times \frac{9}{8} \)
\( \frac{1}{1} \times \frac{3}{4} \)
\( \frac{3}{4} \)
hope this will help you more
PLS ANSWER GIVING BRAINLIEST !!!!!!!!!
Answer:
First bullet point
Step-by-step explanation:
3x+8=35
3x=27
x=9
3) Explain the courses of failure of structure and prescribe solutions so far as materials used are concerned.
By considering factors like strength, corrosion resistance, fatigue resistance, durability, compatibility, and proper construction techniques, engineers can design and construct structures that are safe and reliable.
The courses of failure of a structure can be attributed to various factors, including the materials used. Here are some common causes of structural failure and potential solutions:
1) Inadequate strength or stiffness of materials:
- If the materials used in the structure are not strong enough to bear the applied loads or lack sufficient stiffness to resist deformations, it can lead to failure.
- Solution: Selecting materials with higher strength and stiffness properties can help prevent failure. For example, using steel instead of wood for load-bearing components can provide greater strength and rigidity.
2) Corrosion:
- Corrosion occurs when materials react with their surroundings, leading to a loss of structural integrity.
- Solution: Implementing corrosion prevention measures, such as using corrosion-resistant materials or applying protective coatings, can help mitigate the risk of failure due to corrosion.
3) Fatigue:
- Fatigue failure occurs when a structure experiences repeated loading and unloading, causing progressive damage over time.
- Solution: Incorporating design features that minimize stress concentrations and using materials with high fatigue resistance can help prevent fatigue failure. Additionally, regular inspections and maintenance can detect and address potential fatigue-related issues.
4) Inadequate durability:
- Some materials may degrade over time due to environmental factors, such as exposure to moisture, UV radiation, or chemical agents.
- Solution: Choosing materials with better durability characteristics, such as concrete with appropriate additives or using weather-resistant coatings, can enhance the longevity of the structure and prevent failure.
5) Incompatibility between materials:
- When different materials are used together without considering their compatibility, it can lead to problems like differential expansion, chemical reactions, or galvanic corrosion.
- Solution: Ensuring compatibility between materials through proper design and selection can prevent issues related to material incompatibility.
6) Improper construction techniques:
- Poor workmanship or incorrect construction techniques can compromise the integrity of the structure and lead to failure.
- Solution: Employing skilled and experienced workers, adhering to proper construction practices, and ensuring quality control during the construction process can minimize the risk of failure.
In conclusion, understanding the courses of failure in structures and selecting appropriate materials can help prevent structural failure. By considering factors like strength, corrosion resistance, fatigue resistance, durability, compatibility, and proper construction techniques, engineers can design and construct structures that are safe and reliable.
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Find the minimum value of
C = x+y
subject to the following constraints:
2x + y 2 20
2x + 3y2 36
x20
(y20
C = [?]
Enter
What does C equal?? PLEASE HELP WILL GIVE LOTS OF POINTS!!!
Answer:
C = 14
Step-by-step explanation:
\(C = x+y\)
\(2x + y \geq 20\)
\(2x + 3y\geq 36\)
\(x\geq 0\)
\(y\geq 0\)
If we graph the inequalities, the solution set of the constraints is the shaded area (see attached diagram).
The vertices of the shaded area are (0, 20), (6, 8) and (18, 0)
To determine the minimum value of C, substitute the values of x and y of each vertex into C = x + y:
at (0, 20): C = 0 + 20 = 20
at (6, 8): C = 6 + 8 = 14
at (18, 0): C = 18 + 0 = 18
Therefore, the minimum value is at (6, 8) ⇒ C = 14
Can somebody help me, please
Answer:
uh I don't even know what this is
Answer: x = 500
Step-by-step explanation:
Use the Pythagorean Theorem
a²+b²=c²
300² + 400² = x²
90000 + 160000 = x²
250000 = x²
√250000 = √x²
500 = x
hope i explained it :)