Four bricks of length l, identical and uniform, are stacked on top of one another (the figure) in such a way that part of each extends beyond the one beneath. Find, in terms of l, the maximum values of (a) a1, (b) a2, (c) a3, (d) a4, and (e) h, such that the stack is in equilibrium
The maximum values of a₁, a₂, a₃, a₄ and h to make the stack in equilibrium are; a₁_max = L/2; a₂_max = L/4; a₃_max = - L/6; a₄_max = -L/8; h = 25L/24
What is the maximum width?The system is in equilibrium and length of each brick = L
a) For brick 1;
Due to the fact that the center of gravity lies to the right of L/2,
Then we can say that the maximum value of a₁ = L/2
b) For brick 2;
Since the center of gravity lies to the right of L/2, then we can say that;
The maximum value of a₂ = ¹/₂a₁_max
Thus, the maximum value of a₂ = L/4
c) For brick 3;
Taking the moment of force, the maximum value of a₃ is;
a₃_max = [(-¹/₂mL) + 2m(0)]/(2m +m)
a₃_max = - L/6
d) For the brick 4;
Taking the moment of force, the maximum value of a₄ is;
a₄ = [3(0) m + m(-L/2)]/(3m + m)
a₄_max = -L/8
e) The value of h = |a1| + |a2| +|a3| + |a4|
h = L/2 + L/4 + L/6 + L/8
h = ((12 + 6 + 4 + 3)/24)L
h = 25L/24
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6. cindy has been working for 8 years, and she’s built up a huge emergency fund -- $45,000, which would be 6 months of her salary. she’s hoping to earn a bit more interest than she currently is with that $45,000 just sitting in her traditional bank’s savings account. which account would you recommend? why?
An alternative type of account such as Certificates of deposit is better for Cindy.
Why a traditional savings account is not the best option?Traditional savings accounts have very low-interest rates, which causes you cannot earn a lot of money by using this account.
What is one alternative?One alternative is a Certificate of deposit or CD because this type of account often has a higher interest rate. Moreover, it is ideal for Cindy because she is not using her money and a CD requires you to leave your money untouched for a specific time.
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A population has a mean of 84 and a standard deviation of 12. A sample of 36 observations will be taken. The probability that the sample mean will be between 80. 54 and 88. 9 is
Answer:
0.00000046997
Explanation:
→ Set up normal distribution without sample size
x ∼ N ( 12 , 84² )[tex]x[/tex]
→ Set up normal distribution with sample size
[tex]x\alpha N(12,\frac{84^{2} }{36})[/tex]
→ State probability to find
p ( 80.54 < x < 88.9 )
→ Use calculator to find the values
Lower = 80.54, Upper = 88.9, σ = √84² ÷ 36 and μ = 12
What positive developments resulted from the conditions in china during the warring states
Answer:
The need to have better protection led to innovations in tools and weapons.
Explanation:
Bethesda mining company reports the following balance sheet information for 2018 and 2019
Answer:
4037
Explanation:
because u add 2018 plus 2019
Hot pizza hurts the tongue conduction convection or radiation
Answer:
convection is the correct one
French fries are digested in the intestine, breaking them into smaller molecules
If a particle has a speed of r feet per second and travels a distance d (in feet) in time t (in seconds), then d
The expression of distance from the given parameters is; d = r * t
What is the formula for distance?The formula to calculate distance is physics is;
Distance = speed * time
Now, we are given;
speed = r ft/s
distance = d ft
time = t seconds
Thus, our formula for distance will now be expressed as;
d = r * t
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True or false. One of the eggs has a miniature ship inside. True false
The excerpt on Jake and Summer in the armory museum shows that it is true that one of the eggs has a miniature ship inside.
What is an excerpt?An excerpt is a short piece that is being extracted from a film or writing for the purpose of providing key documentation and to help us locate the information we are looking for.
From the excerpt on Jake and Summer in the armory museum;
Jake and summer walk through the front door into the armory museum and when they find the Faberge eggs;
It is true that one of the eggs has a miniature ship inside.
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Answer:
true
Explanation:
Based on the graph, which statements are correct? check all that apply. Voters age 55–64 were more likely to use nontraditional voting methods than people age 45–54. Voters age 65 and older were more likely to use nontraditional voting methods than all other age groups. Men were more likely to use nontraditional voting methods than women. Voters with less than a high school education were less likely to use nontraditional voting methods than voters in all other educational groups
Based on the graph, the correct statements are;
A: Voters age 55–64 were more likely to use nontraditional voting methods than people age 45–54.
B: Voters age 65 and older were more likely to use nontraditional voting methods than all other age groups.
What is the correct statement about the graph?The attached graph shows us that the likelihood of the 55–64 aged group using non-traditional voting methods is 69.7 as against 65.9 scored by the 45–54 age group.
Secondly, on the graph, the age group with the highest likelihood to use non-traditional voting methods is voters aged 65 and older with 77.7.
Finally, the graph shows us that age has a great influence on voters in choosing non-traditional voting methods over traditional methods.
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A 10 kg box initially at rest is pulled 32 meters across a horizontal, frictionless surface by a 40 n force, as shown in the diagram below
The final velocity of the bock over the given distance is 12m/s.
Acceleration of the block
The acceleration of the block is calculated as follows;
F = ma
a = F/m
a = 40/10
a = 4 m/s²
hope this helps <3
Big ideas math: course 3 (california edition) answers
Answer:A conditional statement, symbolized by p → q, can be written as an “if-then
statement” in which p is the hypothesis and q is the conclusion. Here is an example.
hypothesis, conclusion,
If a polygon is a triangle, then the sum of its angle measures is 180 .
p q
°
Explanation:
The average number of calories in a 1. 8 ounce chocolate bar is 230
A father and his son are celebrating the father’s 75th birthday. drink for drink, who will most likely have a higher bac? the father the son their bacs will be equal whose bac will be higher cannot be predicted
The person who is most likely have a higher bac is the father.
What BAC means?The term is Blood Alcohol Concentration. BAC is known to be the percent of alcohol that can be found in an individual bloodstream. A
The ability to metabolize alcohol declines in younger people. Even if two people drink the same amount of alcohol, older people tends to have higher blood alcohol concentrations than younger people due to the some alterations and as such have lower volume of total body water and thus reduce the rates of removal of alcohol from the body.
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A researcher wants to know the typing speed of the students of a large vocational school. The population standard deviation is previously known to be 2. 3 minutes. If the researcher wants a margin of error of 0. 50 minute and alpha level of 0. 05, what should be the sample size
The required sample size of the research is gotten to be; 324 students.
What is the Sample Size?We are given;
Population standard deviation; σ = 2.3 minutes
Margin of error; E = 0.5 minutes
Significance level; α = 0.05
Since margin of error is 0.5, then we have a standard deviation of;
S = 2.3 - 0.5 = 1.8
Significance level is 0.05. Thus;
0.05 * 1.8 = 0.09
Now, this question has an earlier part whereby the data was from 1000 students. Thus;
The sample size is;
n = 0.09 * (1.8 * 2) * 100
n = 324 students
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What type of instrument is a mandolin?
Answer:
stringed musical instrument
Explanation:
Thalassines kataskeves, s.a., of greece makes marine equipment. the company has been experiencing losses on its bilge pump product line for several years. the most recent quarterly contribution format income statement for the bilge pump product line follows:
Discontinuing the bilge pump product will bringabout financial disadvantage of $150,000.
What is product line?
Product line serves as group of products which is been marketed under a brand.
To know if it will be a financial advantage or (disadvantage) if discontinuing the bilge pump product line, then let's calculate the fixed cost.
[tex]The Fixed cost savings can be calculated as[270,000 + 32,000 + 8,000]= $310,000[/tex]
Since the company is at a loss of $460,000
Contribution Margin, then the the the fixed costs saved, which is less [460,000) + 310,000]
[tex]= ($150,000)[/tex]
Therefore, Discontinuing the bilge pump product will bring about financial disadvantage of $150,000.
CHECK THE COMPLETE QUESTIONS BELOW;
statement for the bilge pump product line follows: Thalassines Kataskeves, S.A. Income Statement—Bilge Pump For the Quarter Ended March 31 Sales $ 850,000 Variable expenses: Variable manufacturing expenses $ 330,000 Sales commissions 42,000 Shipping 18,000 Total variable expenses 390,000 Contribution margin 460,000 Fixed expenses: Advertising (for the bilge pump product line) 270,000 Depreciation of equipment (no resale value) 80,000 General factory overhead 105,000 * Salary of product-line manager 32,000 Insurance on inventories 8,000 Purchasing department 45,000 † Total fixed expenses 540,000 Net operating loss $ (80,000 ) *Common costs allocated on the basis of machine-hours. †Common costs allocated on the basis of sales dollars. Discontinuing the bilge pump product line would not affect sales of other product lines and would have no effect on the company’s total general factory overhead or total Purchasing Department expenses. Required: What is the financial advantage (disadvantage) of discontinuing the bilge pump product line?
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An explanation for the slope of the is curve is that as the interest rate increases, the quantity of investment _____, and this shifts the expenditure function _____, thereby decreasing income.
Answer:
decreases; downward
I hope this helps you
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hello people ~
How can we adopt good habits?
Answer:
Good Habits aren't made in one day and require a lot of effort especially if you have to break out of bad habits. Always start small and build a foundation on which larger changes can rest.
in the following example , which person would be considered part of caste system
Answer:
wrong
Explanation:
Answer:
B.
Explanation:
The shape has an area of 60 square inches. Find the value of x
Based on the titles, which is a procedural text? "top 100 films of the century" the life of theodore roosevelt "replacing a garbage disposal" battles of the revolutionary war
Based on the titles given, a title which is an example of a procedural text is: C. "replacing a garbage disposal"
What is a procedural text?A procedural text can be defined as a textual information that comprises a sequence of actions or steps that are required (needed) to make, do or complete a specific task.
Generally, the steps that are involved in the process of writing a procedural text include the following:
Create a title.List all the materials that are required (needed) to support the process.Consider the best method.Evaluate the process.Define numbered steps.In conclusion, "replacing a garbage disposal" is a title which is an example of a procedural text.
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Answer:
C
Explanation:
Edge 2022
Keeping in mind the symbolism in this passage, what is the best interpretation of caesar’s attitude about his possible death? his name will live on it glory when he dies. These omens relate to other people, too. He believes the predictions are false. His end will be decided by the gods
The best interpretation of caesar’s attitude about his possible death is; D: His end will be decided by the gods.
What is the best interpretation of the statement?According to Julius Caesar, the predictions given by Calpurnia speak of his death.
Julius Caesar replies her saying indirectly, that death will happen to him as much as it will happen to anyone in the world even though he states that if it is purposed by the gods, it cannot be avoided.
Finally, in response, Calpurnia cautions him implying that there is a difference between kings and beggars because when beggars die, comets are not seen. In other words, the death of a beggar may not be nearly as impactful as the death of a King.
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Answer:
D) His end will be decided by the gods
Explanation:
Suppose we spin the wheel, observe the color that the pointer stops on, and repeat the process until the pointer stops on red. What is the probability that we will spin the wheel at least three times?
The probability of spinning three times before getting red is 0.6084.
What is probability?
This is the term that is used in mathematics to show the likelihood of something happening.
We first solve for the probability of not getting red
P(not Red) = P(Blue) + P(Green) = 0.63+0.15 = 0.78
P(not Red) × P(not Red) = 0.78 × 0.78 = 0.6084
The probability of spinning at least three times will be 60.84 percent.
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Which refers to facts, quotations, examples, anecdotes, and statistics?
A word that refers to facts, quotations, examples, anecdotes, and statistics is evidence.
What is an evidence?An evidence can be defined as a body of factual information that comprises quotations, examples, anecdotes, and statistics, which are used to show or prove that something is credible, truthful, reliable, and verified.
This ultimately implies that, an evidence is any word in English language or law that refers to facts, quotations, examples, anecdotes, and statistics.
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Which are the two highest level taxa in the linnaean system?
Answer:
The two highest level taxa in the Linnaean system are the kingdom and phylum, except in plants, which have divisions instead of phyla.
Explanation:
Based on this passage, what do townspeople believe will happen if they stop holding the lottery? they will lose their corn crop. They will no longer be able to find acorns. The townspeople will stop making jokes. The town will lose its young people
Answer:
they will lose their corn crop
Explanation:
I got it wrong and they showed me the answer
Answer:
the answer is A or They will lose their corn crop
Explanation: 2022 Edge :)
Which statements would best fit in a summary of this passage? select three options. The tradesmen of rome have a poor work ethic. Flavius wants to know why the cobbler is not working. The cobbler and others are celebrating caesar’s victory. Flavius want to know why commoners are in the streets. The noblemen of rome are concerned about fashion and shopping
Answer:
B,C,D
Explanation:
The statements which would best fit in a summary of this passage are: options B, C, and D.
What is a summary?A summary is also referred to as synopsis and it can be defined as a brief statement which succinctly covers the main points of a literary work.
In English literature, a summary involves a succinct restatement of the main points, especially as a conclusion to a literary work.
Based on the excerpt from The tragedy of Julius Caesar, we can deduce that the statements which would best fit in its summary are:
Flavius wishes to know why the cobbler isn't working. Caesar’s victory were celebrated by the cobbler and others. Flavius wishes to know why commoners are in the streets.Read more on Flavius here: https://brainly.com/question/11512716
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When the coffee is brewed according to directions, a pound of coffee beans yields 50 cups of coffee (4cups = 1 qt). how many liters of coffee can be obtained per kilogram of coffee beans?
The number of liters of coffee that can be obtained per kilogram of coffee beans is; 5277.78 liters of coffee per kg of coffee beans
How to convert units?We are told that 1 pound of coffee yields 50 cups of coffee.
So we need to find the pounds of coffee beans required to produce 250 cups
Let's say we want to find the kg of coffee required to produce 200 cups of coffee. Then it is;
1 pound/50 cups * 4/4
= 4 pound/200 cups * kg/2.205 pound
= 0.009 kg/200 cups
Therefore 0.009 kilogram is used to produce 200 cups of coffee
Thus;
number of cups per kg = 200/0.009 cups per kg
Since 4 cups = 1 qt = 0.95 L
Then; 200/0.009 cups = ((200/0.009) * 0.95)/4
⇒ 5277.78 liters of coffee per kg of coffee beans
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What part of speech is secure, as used in this excerpt? what word is secure describing? what does secure mean, as used in this excerpt?
The part of speech which is secure, as used in this excerpt is:
Adjective
What are parts of speech?
The trojan Horse is a common allusion utilized as a kind of spy to get into a thing which is secure by disguising as something which is not harmful or threatening based on the Battle of Troy.
With that description above, some virus software's operate in that same way above they disguise themselves and enter into a secure system and proceed to destroy it from the inside.
Thus, we conclude that;
The part of speech which is secure, as used in this excerpt is: Adjective
The word which "secure" is describing is: Software
The thing which "secure" means, as used in this excerpt is: Safe from attack
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Answer:
What part of speech is secure, as used in this excerpt?
✔ adjective
What word is secure describing?
✔ software
What does secure mean, as used in this excerpt?
✔ safe from attack
Explanation:
Correct on Edg 23