The number average of molecular weight (Mn) for that distribution is 281,250.
How to calculate Mn?Ni = Number of molecules in order i
Mi = Molecular mass in order i
Number average of molecular weight or Mn is a average molecular weight for each individual macromolecules. Number average of molecular weight or Mn can be calculated with this formula,
\(\bar{M_n}\) = \(\frac{\sum{M_iN_i}}{\sum{N_i}}\)
= (2*100,000+4*200,000+6*300,000+3*400,000+1*500,000)/(2+4+6+3+1)
= 281,250
Thus, the number average of molecular weight is 281,250 for that distribution.
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Saturated silty clay encountered in a deep excavation is found to have a water content of 28%. Determine the unit weight of the clay in kN/m3. Assume G = 2.7.
The unit weight of the saturated silty clay is approximately 34.625 kN/m³.
How to solve for saturated unit weight of the clayThe formula is:
y = (1 + w) * G * \(y_w\)
We have the following variables
γ = Unit weight of the clay
w = Water content of the clay
G = Specific gravity of the clay particles
\(y_w\) = Unit weight of water
water content is given as (w) = 28%
Specific gravity (G) = 2.7
we can now calculate the unit weight of the clay:
γ = (1 + 0.28) * 2.7 * 9.81
γ = 34.625 kN/m³
Therefore, the unit weight of the saturated silty clay is approximately 34.625 kN/m³.
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Find the total present worth of a series of cash flows with an annual interest rate of 2% per year. Round your answer to the nearest cent.
Initial benefit of 5,330 at year 0
Benefit of 13,075 at year 3
Salvage value of 2,308 at year 4
The total present worth is $19,783.01
The present worth of a series of cash flow is the value of the cash flows in year 0 (today)
Cash flow in year 0 = 5330
Cash flow in year 1 = 0
Cash flow in year 2 = 0
Cash flow in year 3 = 13075 / (1.02)^3 = 12,320.86
Cash flow in year 4 = 2308 / (1.02)^4 = 2,132.24
Present worth = $19,783.01
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If a circuit produces a phase shift of 45 degrees between the voltage and current curves and the apparent power is 100 VA, what is the TRUE power in the circuit?
50 W
70.7 VA
70.7 W
100 A
The true power is obtained as 70.7 VA.
What is the true power?We define the power a the rate of doing work, we know that the power in a circuit is the product of the current and the voltage. In this case, we want to find the true power thus we have to involve the use of the phase shift in degrees.
Thus;
True power = PcosΦ
P = 100 VA
Φ = 45 degrees
True power = 100 VA * cos 45 degrees
True power = 70.7 VA
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A particulate monitor has a power supply consisting of two batteries in parallel. Either battery is adequate to operate the monitor. However, since the failure of one battery places an added strain on the other, the conditional probability that the second battery will fail, given the failure of the first, is greater than the probability that the first will fail. On the basis of testing it is known that 7% of the monitors in question will have at least one battery failed by the end of their design life, whereas in 1% of the monitors both batteries will fail during the design life.
(a) Calculate the battery failure probability under normal operating conditions.
(b) Calculate the conditional probability that the battery will fail, given that the other has failed.
Answer:
yrt a
Explanation:
. Because SQL databases conform to ACID properties, _____.
a. they perform more quickly than other database typesb. their database transactions are processed reliablyc. ANSI rejected SQL as a standard query languaged. concurrency control is unimportant for their operation
Because SQL databases conform to ACID properties their database transactions are processed reliably.
What is SQL?ACID is an acronym for Atomicity, Consistency, Isolation, and Durability, which are properties of database transactions. ACID compliance ensures that transactions are processed reliably, and the results are consistent even in case of failures.
It does not necessarily guarantee faster performance, and concurrency control is an important aspect of ensuring transaction reliability and consistency.
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I have an air compressor with a small storage tank at home. It has an operating pressure of 150 psig (notice that this is a gage pressure). Assuming standard atmospheric pressure, what is the absolute pressure of the air inside the storage tank in psia
Answer:
900 psig
Explanation:
the study of living primates can help us understand ourselves by giving us a broad comparative perspective of primate behavior.
That statement is correct. The study of living primates provides valuable insights into our own behavior and evolutionary history.
By comparing the behavior, social structures, cognitive abilities, and communication systems of different primate species, researchers can gain a better understanding of human behavior and the factors that have shaped it. This comparative perspective allows us to explore the similarities and differences between humans and other primates, providing valuable insights into our own nature as social and intelligent beings.
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when servicing piston rods and pins it is important to always
Answer:
Pistons should be inspected and measured.
Explanation:
what are the SURVEYING INSTRUMENTS
Answer:
the main surveying instruments is use around the world are the theodolite, measuring tape, total station, 3D scanners ,GPS/GNSS, level and rod.Most instruments screw into a tripod when in use.Hydration of which ceramic compound is most responsible for the initial, most significant, and most rapid hardening of cement within concrete that has been mixed and poured (and is therefore undergoing the induction stage of curing)?
The ceramic compound that is most responsible for the initial, most significant, and most rapid hardening of cement within concrete during the induction stage of curing is calcium silicate hydrate (C-S-H).
During the hydration process, cement particles react with water molecules to form C-S-H, which then begins to precipitate and fill the spaces between the cement particles, forming a strong and durable material. This process occurs quickly and is responsible for the initial hardening of the concrete.
In addition to C-S-H, other ceramic compounds such as calcium hydroxide and ettringite also contribute to the hardening of concrete. However, these compounds form at a slower rate and are less significant in terms of initial hardening.
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1.The HCF of 15 and 20?
2.5!=??...????
Answer:
the h.c.f of 15and20 is 5
FILL THE BLANK.
a container _____ is an image from which other images are built. cis251
A container base image is an image from which other images are built. CIS251.
In containerization, a base image serves as the foundation for creating new images and running containerized applications. It provides the essential operating system and dependencies needed to support the desired application stack. Think of it as a starting point or blueprint that contains the necessary files, libraries, and configurations.
A base image typically represents a minimal or lightweight version of an operating system, stripped down to the essentials needed to run containerized applications efficiently. It may include only the core components, such as the kernel, system libraries, and basic utilities. By using a base image, developers can build and package their applications on top of it, ensuring consistency and reproducibility across different environments.
The concept of a base image aligns with the layered architecture of containerization. Each layer represents a specific component or modification, with the base image forming the bottom layer. Additional layers can be added on top of the base image to incorporate application-specific code, configurations, and dependencies.
One of the advantages of using a base image is that it promotes portability and scalability. Developers can create and distribute their applications as self-contained units, which can be easily deployed and run on various container platforms without worrying about differences in underlying host systems.
In summary, a container base image is a foundational image used to create other images and run containerized applications. It provides the necessary operating system and dependencies, allowing developers to package and distribute their applications as portable and scalable containers.
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Prove that, triangular hydraulic section is half of rectangular. (please help me, it's an emergency )
Explanation:
proof that the flow area of a triangular hydraulic section is half of a rectangular section with the same base and height.
Let's consider a rectangular channel with width "b" and height "h". The flow area of the rectangular channel can be calculated as:
A_rectangular = b * h
Now, let's consider a triangular channel with base "b" and height "h". The flow area of the triangular channel can be calculated as:
A_triangular = 0.5 * b * h
To prove that the flow area of the triangular channel is half of the rectangular channel, we can take the ratio of the two flow areas:
A_triangular / A_rectangular = (0.5 * b * h) / (b * h)
Simplifying this expression, we get:
A_triangular / A_rectangular = 0.5
Therefore, we can conclude that in the case of a rectangular channel with width "b" and height "h", the flow area of a triangular channel with base "b" and height "h" is half of the flow area of the rectangular channel.
However, it's important to note that this result only holds true for this specific case where the rectangular channel and the triangular channel share the same base and height. If the dimensions of the channels differ, the flow area of the triangular channel will not necessarily be half of the flow area of the rectangular channel.
NOTE. (just a concern)
it's important to note that this is only true for a specific case, and it's not a general rule that applies to all triangular and rectangular sections. In general, the flow area of a hydraulic section depends on its geometry and cannot be determined solely based on the shape of the section.
the coil polarity in a waste spark system is determined by the direction in which the coil is wound (left hand rule for conventional current flow) and cant be changed. for example if a V8 engine has a firing order of 18436527 and number one cylinder is on compression which cylinder would be on the exhaust stroke?
A V-8 engine that posses a firing order of 18436572 with number 1 cylinder on compression, the cylinder which would be on the exhaust stroke is number: A. 6.
What is an injector?An injector can be defined as a mechanical device that is designed and developed for the introduction of fuel into the internal combustion system of an engine, especially under pressure.
The types of fuel injection system.In Engineering, there are two (2) main types of fuel injection system and these include the following:
Simultaneous fuel injection.Sequential fuel injection.What is a sequential fuel injection?A sequential fuel injection is typically designed and developed to spray fuel into the internal combustion system of an engine based on the firing order that is configured within it by the manufacturer.
As a general rule, one of the two-paired spark plugs within the internal combustion system of an engine is always designed to have a negative polarity while the other spark plug is designed to have a positive polarity always.
In this context, we can infer and logically deduce that a V-8 engine that posses a firing order of 18436572 with number 1 cylinder on compression, the cylinder which would be on the exhaust stroke is number 6.
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Complete Question:
The coil polarity in a waste-spark system is determined by the direction in which the coil is wound (left-hand rule for conventional current flow) and can't be changed. for example, if a v-8 engine has a firing order of 18436572 and number 1 cylinder is on compression, which cylinder will be on the exhaust stroke?
A. 6
B. 4
C. 8
D. 2
6.03 Discussion: Then & Now - Safety
Discussion Topic
I'm Done
In this unit, you have learned about the evolution of the industry’s machines, through both technology and innovation. These improvements have reduced risk and injury to the Operating Engineers.
Choose one innovation or device.
Explain why you think that technology is the most important advancement in Operating Engineers’ safety.
Answer:
Information technology is important in our lives because it helps to deal with every day's dynamic things. Technology offers various tools to boost development and to exchange information. Both these things are the objective of IT to make tasks easier and to solve many problems.
as the angle of the ramp is increased the force parallel increases /decreases / remains the same
As the angle of the ramp is increased, the force parallel increases. Hence, option (a) can be considered as the correct answer.
When the angle of a ramp is increased, the force parallel to the ramp, also known as the parallel component of the gravitational force, does increase. This is because the component of gravity acting parallel to the ramp increases with the angle. However, it's important to note that the total gravitational force acting on an object remains constant regardless of the angle of the ramp.As the angle of the ramp increases, the force required to push or pull an object up the ramp against gravity increases. This is due to the increase in the vertical component of the gravitational force, which opposes the motion up the ramp. The parallel force required to overcome this increased vertical force also increases.
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After a strong storm, a worker does not realize that a power transmission line has fallen on his car and is electrocuted while opening the car door. What is this an example of?.
Answer:
This is an example of the conduction of electricity through metal. Free moving electrons on the car will conduct a electric field when a voltage is applied to the car; in this case the transmission line, and would flow through the metal to the door handle causing electrocution.
Condition" column records the judgment of an expert on the financial condition of each bank. This dependent variable takes one of two possible values— weak or strong —according to the financial condition of the bank. The predictors are two ratios used in the financial analysis of banks: TotLns&Lses/Assets is the ratio of total loans and leases to total assets and TotExp/Assets is the ratio of total expenses to total assets. The target is to use the two ratios for classifying the financial condition of new banks. Run a logistic regression model (on the entire dataset) that models the status of a bank as a function of the two financial measures provided. Specify the success class as weak (this is similar to creating a dummy that is 1 for financially weak banks and 0 otherwise), and use the default cutoff value of 0.5.
A. Write the estimated equation that associates the financial condition of a bank with its two predictors in three formats: i. The logit as a function of the predictors. ii. The odds as a function of the predictors iii. The probability as a function of the predictors b. Consider the following two banks: Bank A: total loans and leases/assets ratio = 0.6, total expenses/assets ratio = 0.11 Bank
B: total loans and leases/assets ratio = 0.56, total expenses/assets ratio = 0.10 From your logistic regression model, estimate the following three quantities for these banks: the logit, the odds, and the probability of being financially weak.
c. What is the classification of each bank ((Strong, Weak)? Which bank is stronger? Explain your logic.
The logistic regression model is used to predict the financial condition of banks based on two financial ratios.
What is the purpose of the logistic regression model in predicting the financial condition of banks?The paragraph describes a logistic regression model used to predict the financial condition of banks based on two financial ratios. The "Condition" column records the expert judgment of a bank's financial condition, categorized as either weak or strong.
The logistic regression model estimates the equation associating the bank's financial condition with the two predictors, namely the ratio of total loans and leases to total assets and the ratio of total expenses to total assets.
The estimated equation can be expressed in three formats: i. Logit as a function of the predictors, ii. Odds as a function of the predictors, and iii. Probability as a function of the predictors. For Bank A and Bank B with given ratios, the logistic regression model is used to estimate the logit, odds, and probability of being financially weak for each bank.
The classification of each bank (Strong or Weak) is determined based on the estimated probability. The bank with a higher probability of being financially weak is classified as weak, while the other is classified as strong.
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what is a geometric parameter that, as a structural engineer, we can modify to reduce the bending stress for a given moment? explain your answer.
These transversal loads will result in a base shear V and a tension force M that both induce normal stress and shear stress, respectively.
What makes it a moment?It can seem like to use the term "a brief duration" in addition to referring to physical motion because the word minute appears to have Latin roots that signify movement, change, or alteration.
What unit of time is a moment?Units of due to the force distance are used to express the moment's size. The normal English measures for a momentary are feet pounds, but the standard unit units for moment magnitude are newton meters.
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What is 90 to the power of 46
Answer:Just multiply 90 by itself 46 times
Explanation:
do it
I will rate 5 stars/brainliest if you help me!!! A company produces A, B, and C and can sell these products in unlimited quantities at the following unit prices: A, $10; B, $56; C, $100. Producing a unit of A requires 1 hour of labor; a unit of B, 2 hours of labor plus 2 units of A; and a unit of C, 3 hours of labor plus 1 unit of B. Any A that is used to produce B cannot be sold. Similarly, any B that is used to produce C cannot be sold. A total of 40 hours of labor are available. Formulate an LP to maximize the company’s revenues. (Please solve the LP with Lindo or Excel).
Answer: 0
Explanation: i need to add it up to get what u want
Three single-phase loads in parallel are supplied from a 1400V (RMS), 60 Hz supply. The loads are as follows: Load 1: Inductive load: 125 kVA, 0.28 power factor Load 2: Capacitive load: 10 kW, 40 kVAR Load 3: Resistive load: 15 kW Find the total kW, kVAR, kVA, and supply power factor. (5 points) Find the capacitive correction (in kVARs) required to improve the power factor to 0.8 and calculate the supply current with this correction in place. (10 points) What is the least current that can service these three loads and how much compensation would it require
Answer:
The answer is below
Explanation:
\(\theta_1=cos^{-1}0.28=73.74^o\ lagging\\\\S_1=125\angle 73.74^o=35\ kW+j120\ kVAR\\\\S_2=10\ kW-j40\ kVAR\\\\S_3=15\ kW\)
Total power = P = 35 kW + 10 kW + 15 kW = 60 kW
Total kVAR = 120 kVAR - 40 kVAR = 80 kVAR
\(Total\ apparent \ power =S= S_1+S_2+S_3=(35+j120)+(10-j40)+(15)\\\\S=60\ kW+j80\ kVAR=100\angle 53.13^o\\\\Current(I)=\frac{S^*}{V^*} \frac{100000\angle -53.13^o}{1400\angle0}=71.43\angle-53.13^o\\ \\Power\ factor (PF)=cos(53.13)=0.6\ lagging\\\\The \ new\ power\ factor\ is\ to \ be\ 0.8[cos^{-1}0.8=36.87^o], hence\ since\ the\ total\ \\real\ power(P)= 60\ kW, the\ capacitor\ kVAR(Q_c)\ is:\\\\Q_c=60tan(53.13)-60tan(36.87)=80-45=35\ kVAR\\\\\)
\(C=\frac{Q_c}{wV^2} =\frac{35000\ VAR}{2\pi*60\ Hz*1400\ V}=47.38\ \mu f\)
New current (I') = \(\frac{S'^*}{V^*}=\frac{60000-j45000}{1400}=53.57\angle-36.87^o\)
Current reduce from 71.43 A to 53.57 A
how to fill osprey hydraulics lt
To refill the reservoir:
Disengage the Slide-Seal™ mechanism and unfurl the PourShield™, allowing it to fulfill its purpose.Gently compress the PourShield™ with one hand, generating a broad aperture, while maintaining stability by grasping the carry handle with your other hand.Reinstate the Slide-Seal™ to its rightful position and invert the reservoir, diligently inspecting for any insidious leaks. Moreover, expel surplus air to curtail superfluous agitation within the reservoir.What are hydraulics?Hydraulics, a mechanical function that operates through liquid pressure. Within the realm of hydraulics-driven systems, the captivating dance of mechanical motion unfolds, intricately woven by the sheer might of encapsulated, propelled fluid.
It is this symphony of forces that breathes vitality into machinery, propelling the very essence of motion through the graceful interplay of hydraulic cylinders, orchestrating the eloquent journey of pistons.
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Wich muscle in your body are affected by alcohol first
Answer:
Brain
Explanation:
Thirty seconds after your first sip, alcohol races into your brain. It slows down the chemicals and pathways that your brain cells use to send messages. That alters your mood, slows your reflexes, and throws off your balance.All of these are types of wheel alignments EXCEPT:
A) four-wheel.
B) steering angle.
C) two-wheel.
D) thrust angle.
Answer:
thrust angle
Explanation:
good luck.........
1. You use
switches when you
have two switches controlling one or more
lights.
single pole
4-way
2-way
3-way
2. The Federal Motor Carrier Safety Regulations (FMCSRs) establish basic safety rules
and standards for:
A. drivers and other employees of motor carriers.
B. motor carriers.
C. commercial motor vehicles (CMVS).
D. all of the above.
What time will current of 10A transferred from a charges of 50C
Answer:
8×10^-19 seconds
Explanation:
i=∆q/∆t
=> ∆t=∆q/i=50×1.6×10^-19/10=8×10^-19(s)
Q6. Ask for two numbers. If the first one is larger than the second, display the second number first and then the first number, otherwise show the first number first and then the second.
Answer:
Number1 = input("Choose a number: )
Number2 = input("Choose a second number: )
if number1 > number2:
print(number2\nnumber1)
else:
print(number1\nnumber2)
Explanation:
I'm assuming that you want it in python.
water "bubbles up" h2 = 9 in. above the exit of the vertical pipe attached to three horizontal pipe segments. The total length of the 1.75-in.- diameter galvanized iron pipe between point (1) and the exit is 21 inches. Determine the pressure needed at point (1) to produce this flow.
Assume h3 = 18 in.
The pressure needed at point (1) to produce the flow where water "bubbles up above the exit of the vertical pipe attached to three horizontal pipe segments is 0.750 psi.
What is Bernoulli's equation?The Bernoulli's equation for incompressible fluid can be given as,
\(P_1+\dfrac{1}{2}\rho v_1^2+\rho gh_1=P_2+\dfrac{1}{2}\rho v_2^2+\rho gh_2\)
Here, ρ is density of fluid, g is acceleration due to gravity, (P) is the pressure v is velocity, h is height of elevation and subscript (1 and 2) is used for point 1 and 2.
Water "bubbles up" h2 = 9 in. Above the exit of the vertical pipe attached to three horizontal pipe segments.
The total length of the 1.75-in.- diameter galvanized iron pipe between point (1) and the exit is 21 inches. h3 = 18 in.
Reynolds number is,
\(R_e=\dfrac{V_3D}{v}\\R_e=\dfrac{4.01\dfrac{0.75}{12}}{1.21\times10^{-15}}\\R_e=2.07\times10^4\)
The formula for the ratio of pressure to radius, when pressure and velocity at point 2 is zero can be given as,
\(\dfrac{p_1}{r}=z_2\left(f\dfrac{l}{d}+\sum k_L\right)\dfrac{v^2}{2g}-\dfrac{v_1^2}{2g}\)
Here, f=0.039 and ∑K(L)=4.5. Put the values,
\(\dfrac{p_1}{r}=\dfrac{7}{12}\left(0.03\dfrac{21}{0.75}+4.5-1\right)\dfrac{4.01^2}{2\times32.2}\\\dfrac{p_1}{r}=1.73\rm\; ft\)
Put the value of r we get,
\(p_1=62.4\times1.73\\p_1=108\rm\; ib/ft^2\\p_1=0.750\rm\; psi\)
The pressure needed at point (1) to produce the flow where water "bubbles up above the exit of the vertical pipe attached to three horizontal pipe segments is 0.750 psi.
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