Recall that "np.dot(a,b)" performs a matrix multiplication on a and b, whereas "a*b" performs an element-wise multiplication.
Consider the two following random arrays "a" and "b":
a = np.random.randn(12288, 150) # a.shape = (12288, 150)
b = np.random.randn(150, 45) # b.shape = (150, 45)
c = np.dot(a,b)
What is the shape of c?
A. c.shape = (12288, 150)
B. c.shape = (12288, 45)
C. The computation cannot happen because the sizes don't match. It's going to be "Error"!
D. c.shape = (150,150)
Answers
From the given information, it is clear that we have two random arrays as follows:a = np. random.randn(12288, 150) # a.shape = (12288, 150)b = np.random.and (150, 45) # b.shape = (150, 45)Now, we need to compute c = np.dot(a,b). We can see that it will perform matrix multiplication of a and b to give the value of c.
As given, c = np.dot(a,b) will perform matrix multiplication of a and b. So, we can see that the dimensions of a and b will determine the shape of c.The dimensions of a and b are given as follows:a.shape = (12288, 150)b.shape = (150, 45)Now, as we know, the shape of the product of matrices with dimensions (m,n) and (n,k) will be (m,k).So, the shape of c will be (12288,45) which is option (B).Hence, the correct option is (B) c.shape = (12288, 45).Long answer:In NumPy, we can perform matrix multiplication using the np.dot() function.
Given two matrices a and b, if we want to find their product c = ab, we can use the following code:c = np.dot(a,b)Note that the dot() function performs matrix multiplication when given two matrices as arguments. If we have two arrays, the * operator performs element-wise multiplication. In other words, if a and b are two arrays of the same shape, then c = a * b is equivalent to multiplying each element of a with the corresponding element of b. However, if a and b are matrices, then c = a * b is not valid matrix multiplication because the sizes don't match.
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Related Questions
The gear with the least number of teeth is called the
Answers
A remotely located air sampling station can be powered by solar cells or by running an electric line to the site and using conventional power. Solar cells will cost $20,000 to install and will have a useful life of 4 years with no salvage value. Annual costs for inspection, cleaning, etc. are expected to be $1,200. A new power line will cost $10,000 to install, with power costs expected to be $900 per year. Since the air sampling project will end in 4 years, the salvage value of the line is considered to be zero. At an interest
rate of 8% per year, which alternative should be selected on the basis of a future worth analysis?
The future worth of solar cells is $ ____
Answers
The future worth analysis indicates that the solar cells have a negative future worth of approximately - $18,395.39. In this case, the alternative with the lower future worth would be the preferred choice.
To determine the future worth of the solar cells, we need to calculate the present worth (PW) of the costs and benefits associated with the solar cells and then calculate the future worth (FW) of the PW.
1. Solar Cells:
- Initial installation cost: $20,000
- Annual costs: $1,200 per year for 4 years
- Salvage value: $0
Using an interest rate of 8% per year, we can calculate the present worth (PW) of the solar cells:
PW = -Initial installation cost + (Annual costs / (1 + interest rate)^year)
PW = -$20,000 + ($1,200 / (1 + 0.08)^1) + ($1,200 / (1 + 0.08)^2) + ($1,200 / (1 + 0.08)^3) + ($1,200 / (1 + 0.08)^4)
Simplifying the equation:
PW = -$20,000 + $1,111.11 + $1,028.94 + $949.58 + $873.35
PW = -$20,000 + $4,962.98
PW = -$15,037.02
The present worth (PW) of the solar cells is -$15,037.02.
To calculate the future worth (FW) of the PW, we need to compound the PW to the end of the project period (4 years) function:
FW = PW * (1 + interest rate)^years
FW = -$15,037.02 * (1 + 0.08)^4
FW = -$15,037.02 * (1.08)^4
FW ≈ -$18,395.39
The future worth (FW) of the solar cells is approximately -$18,395.39.
Therefore, the future worth analysis indicates that the solar cells have a negative future worth of approximately -$18,395.39. In this case, the alternative with the lower future worth would be the preferred choice.
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Turning operations that require heavy material removal typically use what setting on the
engine lathe?
Answers
The following data is available for a binary mixture of components (1) and (2) at T = 308.15 K:
- Saturation pressures of pure components: Pjat = 49.624 kPa ; Pžat = 85.265 kPa
- The following equations are valid to determine the activity coefficients of each component in the liquid phase:
In(yı) = xị[A12 + 2(A21 – A12 – C)xı + 3Cxz]
In(y2) = x[A21 + 2(A12 – A21 – C)x2 + 3Cxz]
With the following parameter values: A12 = -0.264 ; A21 = -0.421; C = 0.23
- The liquid phase is in equilibrium with a vapor phase, which can be assumed to be an ideal gas
(a) A system forms an azeotrope if xı =yı at any given T and P. Does this system form an azeotrope at T= 308.15 K? If so, what is the composition xı =yı of the azeotrope?
(b) Estimate the value of H1, the Henry's law constant of component 1 in this system
Answers
(a) A system forms an azeotrope if x1 = y1 at any given T and P. Does this system form an azeotrope at T= 308.15 K? If so, what is the composition x1 = y1 of the azeotrope? The saturation pressure of pure component 1 at T = 308.15 K is Pjat = 49.624 kPa and that of pure component 2 is Pžat = 85.265 kPa.
Now, using the following equation;P = x1Pjat + x2PžatWe can calculate the pressure of each component: 49.624 kPa = x1(49.624 kPa) + x2(85.265 kPa)Thus,x1 + x2 = 1andx1 = 0.4230.423 = 42.3%Therefore, the system forms an azeotrope at T = 308.15 K, with composition x1 = y1 = 0.423.
(b) To calculate H1, we need to use Henry's law, which is represented by the following equation:P1 = H1x1PjatUsing the value for x1 obtained from part (a) and Pjat = 49.624 kPa for component 1, we can obtain P1. We can also assume that component 1 obeys Henry's law, so we can calculate H1 by plotting P1 vs x1 and finding the slope of the line.P1 = H1x1PjatP1 = 0.423 × 49.624 kPaP1 = 21.003 kPa Hence, H1 is the slope of a plot of P1 vs x1, which gives;H1 = 0.523 kPa
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what is an OTG USB? how is it useful
Answers
Answer:
An OTG or On The Go adapter (sometimes called an OTG cable, or OTG connector) allows you to connect a full sized USB flash drive or USB A cable to your phone or tablet through the Micro USB or USB-C charging port
Explanation:
pls mark brainliest
T/F automated information is information that is put on the internet indepednetly from human input.
Answers
True. Automated information is any kind of data that is collected or created without the need for human input.
This could include the automated tracking of weather conditions, sports scores, stock prices, and other such data. Automated information can be used for a variety of purposes, including for creating databases and providing customers with more detailed and personalized service. Automated information can also be used to create targeted marketing campaigns or to generate predictive analytics. As the use of automated information becomes more widespread, its importance in both commercial and personal spheres will increase. It is typically created or processed without the need for direct human input or intervention.
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Considering the CIA triad and the Parkerian hexad, what are the advantages and disadvantages of each model?
Answers
The CIA triad and the Parkerian hex are the fundamental principles of information security.
CIA triad and the Parkerian hexadParkeriano, or Parkerian hexad: is a set of six elements of information security proposed by Donn B. Parker.
1. Confidentiality.
2. Ownership or Control.
3. Integrity.
4. Authenticity.
5. Availability.
6. Utility
The Parkerian hexagram adds three more attributes to the three classic security attributes of the CIA triangle
Confidentiality Integrity Availability
these are the fundamental principles of information security.
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Recall a recent decision that you had difficulty making. How did you diagnose and solve the challenge? Were the consequences good, bad, or both? Should you, and could you, have done anything differently in making the decision? Based on what you have learned so far, what changes would you make and why?
Answers
Answer:
yes maybe
Explanation:
I have a project and everyone in the world will know about it.
Answer:
both
Explanation:
Question One
A mild steel rod of 30 mm diameter and 400 mm long is encased centrally inside a hollow copper tube of
external diameter 40 mm and inside diameter 35 mm. The ends of the rod and tube are rigidly attached
and the composite bar is subjected to an axial pull of 45 kN. If E for steel and copper are 200 GN/m² and
100 GN/m² respectively, find the stress developed in the rod and the tube. Find also the extension of the
rod.
Answers
According to the question, the stress developed in the rod and the tube is 64.68 N/mm³and the extension of the rod is 1.294 mm.
What is stress?Change of any kind that strains a person physically, mentally, or emotionally is regarded as stressful. Stress is the body's response to anything that requires concentration or activity. Everyone goes through periods of stress.
Briefing:Diameter of rod = 25 mm
Length of rod = 400 mm
External diameter of tube = 35 mm
Inside diameter of tube = 30 mm
E for steel = 200GN/m²
E for copper = 100GN/m²
A₁ = π/4 × (25)²
A₂ = 490.87 mm²
A₂ = π/4 (35² - 30²)
A₂ = 255.25 mm²
for equilibrium -
P₁A₁ + P₂A₂
= P
= 40 × 10³
so,
P₁²/E₁ = P₂²/E₂
P₁ = P₂ × (200/100)
P₁ = 2P₂
2P₂A₂ + P₂A₂ = 40 × 10³
P₂ = 32.34 N/mm³
P₁ = 2P₂ = 64.68 N/mm³
P₁ = 64.68 N/mm³
extension of rod = (64.88 × 4000) / (2×10³)
extension of rod = 1.294 mm
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Considering how likely the risk is to affect the company’s profits is part of which component of risk management?
Risk identification
Risk assessment
Risk control
Risk mitigation
Answers
.The act of spooling a print job helps free up what resource on the print server?
a. Paged memory space
b. Active memory utilization
c. CPU utilization
d. Hard drive storage
Answers
The act of spooling a print job helps free up paged memory space on the print server. The correct answer is (a) Paged memory space.
Spooling a print job is a process of sending the print job to a temporary file on the hard drive before it is sent to the printer. This helps free up paged memory space on the print server because the print job is not taking up memory while waiting to be printed. Spooling also allows multiple print jobs to be queued up and processed in the order they were received, which helps to prevent printer congestion and improves printing efficiency.
Option A is the correct answer because spooling a print job helps to free up paged memory space on the print server. Options B and C are not directly related to spooling print jobs, and option D is not entirely accurate because spooling print jobs actually uses hard drive storage temporarily before printing, but it ultimately helps to free up memory resources.
The correct answer is (a).
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Given the control objective of maintaining a constant temperature of an outlet stream of a leveling tank that includes a single inlet stream and a steam-powered heating coil:
Answers
Maintaining a constant temperature of an outlet stream of a leveling tank that includes a single inlet stream and a steam-powered heating coil is a crucial control objective. The outlet stream temperature of a leveling tank with a single inlet stream and a steam-powered heating coil is kept constant by controlling the flow of the heating fluid.
A steam-powered heating coil is used in a leveling tank to maintain a constant temperature of the outlet stream. The temperature of the outlet stream can be regulated by regulating the flow rate of the heating fluid, which is steam. Temperature sensors are used to detect the temperature of the outlet stream and provide feedback to the control system. The control system, in turn, regulates the flow of the heating fluid based on the feedback provided by the temperature sensors.
This is done by manipulating the opening and closing of a control valve that regulates the flow rate of the heating fluid in response to the temperature sensor's feedback.The control valve is connected to a controller that monitors the temperature sensor's output and adjusts the valve's opening or closing position to maintain the desired temperature setpoint. As a result, a closed-loop control system is used to maintain the desired outlet stream temperature.
Furthermore, since the control system is responsive to the temperature sensor's feedback, it can compensate for changes in the inlet stream flow rate and temperature, ensuring that the outlet stream temperature remains constant. In conclusion, a steam-powered heating coil is used in a leveling tank with a single inlet stream to maintain a constant outlet stream temperature, which is regulated by a closed-loop control system that is responsive to temperature sensor feedback.
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On the position time curve, if the slope of a tangent at a point is positive, that means:
A: The object is moving backward
B: The object is not moving
C: The object is moving forward
Answers
Answer:
C. the object is moving forward
Explanation:
A positive slope means position is increasing when time is increasing. Generally, increasing position is "moving forward."
Answer:
C. The object is moving forward
what ratio between differential gain and common-mode gain is called
Answers
Answer:
CMRR(Common Mode Rejection Ratio) is the ratio of differential gain and the common mode gain.
Explanation:
Technician A says that tailor-rolled parts may be used for collision energy managements.
Technician B says that tailor-welded parts are aluminum and steel parts joined together. Who is right?
A Only
B only
Both A and B
Neither A nor B
Answers
Someone answer this please
Answers
Determine the length of the base if the height of a triangle is 28 feet and the area of the triangle is 350 square feet.
Answers
Answer: 25 ft
Explanation:
For a triangle, the area is given by
A = (1/2)base*height
Rearranging,
base = 2A/height
Substituting the given values,
base = 2(350 ft^2)/(28 ft) = 25 ft
A four-cylinder, four-stroke internal combustion engine has a bore of 3.7 in. and a stroke of 3.4 in. The clearance volume is 16% of the cylinder volume at bottom dead center and the crankshaft rotates at 2400 RPM. The processes within each cylinder are modeled as an air-standard Otto cycle with a pressure of 14.5 lbf/in. 2 and a temperature of 60 8 F at the beginning of compression. The maximum temperature in the cycle is 5200 8 R.
Based on this model,
1- Write possible Assumptions no less than three assumptions
2- Draw clear schematic for this problem
3- Determine possible Assumptions no less than three assumptions
4- Draw clear schematic for this problem.
5- calculate the net work per cycle, in Btu, and the power developed by the engine, in horsepower.
Answers
Answer:
1) The three possible assumptions are
a) All processes are reversible internally
b) Air, which is the working fluid circulates continuously in a closed loop
cycle
c) The process of combustion is depicted as a heat addition process
2) The diagrams are attached
5) The net work per cycle is 845.88 kJ/kg
The power developed in horsepower ≈ 45374 hP
Explanation:
1) The three possible assumptions are
a) All processes are reversible internally
b) Air, which is the working fluid circulates continuously in a closed loop
cycle
c) The process of combustion is depicted as a heat addition process
2) The diagrams are attached
5) The dimension of the cylinder bore diameter = 3.7 in. = 0.09398 m
Stroke length = 3.4 in. = 0.08636 m.
The volume of the cylinder v₁= 0.08636 ×(0.09398²)/4 = 5.99×10⁻⁴ m³
The clearance volume = 16% of cylinder volume = 0.16×5.99×10⁻⁴ m³
The clearance volume, v₂ = 9.59 × 10⁻⁵ m³
p₁ = 14.5 lbf/in.² = 99973.981 Pa
T₁ = 60 F = 288.706 K
\(\dfrac{T_{2}}{T_{1}} = \left (\dfrac{v_{1}}{v_{2}} \right )^{K-1}\)
Otto cycle T-S diagram
T₂ = 288.706*\(6.25^{0.393}\) = 592.984 K
The maximum temperature = T₃ = 5200 R = 2888.89 K
\(\dfrac{T_{3}}{T_{4}} = \left (\dfrac{v_{4}}{v_{3}} \right )^{K-1}\)
T₄ = 2888.89 / \(6.25^{0.393}\) = 1406.5 K
Work done, W = \(c_v\)×(T₃ - T₂) - \(c_v\)×(T₄ - T₁)
0.718×(2888.89 - 592.984) - 0.718×(1406.5 - 288.706) = 845.88 kJ/kg
The power developed in an Otto cycle = W×Cycle per second
= 845.88 × 2400 / 60 = 33,835.377 kW = 45373.99 ≈ 45374 hP.
A monkey has a robotic arm connected to its brain using a Bluetooth transmitter. The arm requires a current of 400 run. If the arm has a resistance of 56 M Ohmswhat is the necessary voltage from a battery will it need to run?
Answers
Answer:
22400 volts
Explanation:
According to Ohms law, the resistance can be calculated as;
R=V/I where R is total resistance, V is voltage across the whole circuit and I is the current across the whole circuit.
From the question;
I= 400 A
R= 56 Ω
Applying the formula;
R=V/I
56 =V/400
V= 400*56 =22400 volts
Consider a potato being baked in an oven that is maintained at a constant temperature. the temperature of the potato is observed to rise by 5c during the first minute. Will the temperature rise during the second minute be less than, equal to, or more than 5∘C? Why?
Answers
Answer:
The rise in temperature will be less than 5 °C in the second minute.
Explanation:
According to heat conduction law, the rate of heating is proportional to the temperature difference or temperature gradient. The temperature gradient is what drives heat to move from a hotter body at a higher temperature gradient to a colder body at a lower temperature gradient. For the potato, the initial first minute raises the temperature to 5 °C, consequently reducing the temperature gradient between the potato and the heating element in the oven. This reduced temperature gradient means that the rate at which it will conduct heat in the second minute will be lesser than that at the first minute. This will continue till the potato and the heating element are at the same temperature, at which no temperature gradient will exist between them; stopping heat transfer between them.
to act as pilot in command of an airplane towing a glider, the tow pilot is required to have
Answers
To act as pilot in command of an airplane towing a glider, the tow pilot is required to have a valid pilot certificate with an airplane rating, at least a private pilot certificate, and a logbook endorsement from an authorized instructor certifying that the tow pilot is proficient in glider towing operations.
To act as pilot in command of an airplane towing a glider, the tow pilot is required to have a few things. First, they must have a valid pilot's license with the appropriate category and class ratings for the aircraft they are operating. In addition, they must have a minimum amount of flight experience and training specifically related to towing gliders.
According to Federal Aviation Administration (FAA) regulations, a tow pilot must have a minimum of 100 hours of flight time as pilot in command in the category and class of aircraft used for towing gliders. Of those 100 hours, at least 25 must have been completed in the past 12 months. Additionally, the tow pilot must have received ground and flight training specific to towing gliders, which includes the techniques and procedures for towing, releasing, and emergency procedures.
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STINGY SAT is the following problem: given a set of clauses (each a disjunction of literals) and an integer k, find a satisfying assignment in which at most k variables are true, if such an assignment exists. Prove that STINGY SAT is NP-complete
Answers
In B, there can be no boundaries separating different pieces. Assume there was a contradiction.
Because it passes between two vertices that were left unaffected by the maximum matching edges, the edge may have been added to expand the size of the maximum matching. This goes against our presumption that the matching was the best possible match, hence edges between different parts of B are not viable. All of the graph's edges must therefore either be part of the maximum matching or be - between a vertex in B and one that is the terminal of a maximum matching edge. Choose a vertex in B specifically if one of the endpoints has an edge to it. It doesn't matter which one you choose if not.
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Please help I need by today !!
What is the purpose of a portfolio?
Answers
Answer:
To document your work and projects.
Explanation:
I hope I got the right meaning. :)
el protozoos es del reino protista?
Answers
Answer: Si (Yes)
Explanation:
Answer:
Protozoario o protozoo es un organismo unicelular y eucariota (con núcleo celular definido) perteneciente al Reino protista. Los protozoarios se encuentran junto con los protófitos o algas simples, generalmente acuáticas, dentro del Reino protista o también denominado Reino protoctista.
Explanation:
The purpose of the international residential code is to
Answers
Answer:
The International Building Code (IBC) is a model code that provides minimum requirements to safeguard the public health, safety and general welfare of the occupants of new and existing buildings and structures.
Explanation:
Which option identifies the tool best to use in the following scenario?
Theresa has just purchased a crib and needs to assemble it quickly. The crib came with instructions, but no tools, and she does not know what she needs. On all of the screws in her kit, there is a six-sided hole in the head.
an Allen wrench
a Phillips screwdriver
a flathead screwdriver
an adjustable crescent wrench
NEXT QUESTION
Answers
Answer:
an Allen wrench
Explanation:
it is hexagonal
Wire gages in an automobile generally range from gage 0 to gage ____.
A.
24
B.
18
C.
20
D.
30
Answers
Answer:
18 gauge
Explanation:
Standard automotive primary wire is 18 gauge. (internet search) Hope this helps
Consider a concept learning problem in which each instance is a real number, and in which each hypothesis is an interval over the reals. More precisely, each hypothesis in the hypothesis space H is of the form a
Answers
A concept learning problem involves learning a concept or pattern from a set of examples. In this particular problem, each instance is a real number and each hypothesis is an interval over the reals.
Explanation:
1. Concept learning problem: A concept learning problem involves learning a concept or pattern from a set of examples. The goal is to find a hypothesis that correctly predicts the class label of new, unseen instances.
2. Real numbers and intervals: In this problem, each instance is a real number, meaning it can take on any value along the real number line. A hypothesis is an interval over the reals, meaning it is a range of values that could potentially contain the true value of the instance.
For example, if we have an instance x = 3, a hypothesis could be [2, 4], meaning we believe the true value of x is between 2 and 4 (inclusive). Another hypothesis could be [0, 5], which is a larger interval that includes the previous hypothesis.
3. Hypothesis space: The hypothesis space H in this problem consists of all possible intervals over the real numbers. This means there are an infinite number of hypotheses to consider.
4. Learning algorithm: To learn a concept from this problem, we need to use a learning algorithm that can search through the hypothesis space and find the best hypothesis that fits the examples. One common algorithm for this type of problem is the version space algorithm, which maintains the set of all consistent hypotheses and selects the most specific and most general hypotheses as the final hypothesis.
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What Tool Category do saws, files, chisels and planes belong to?
Answers
Saws, files, chisels, and planes belong to the category of hand tools, specifically woodworking hand tools. These tools are commonly used in woodworking and carpentry tasks to shape, cut, and refine wood.
Each tool serves a specific purpose:Saws: Saws are cutting tools with a toothed blade used to cut through various materials, including wood, metal, and plastic. In woodworking, hand saws such as crosscut saws, rip saws, and coping saws are commonly used.Files: Files are abrasive tools with a rough surface made of hardened steel. They are used to shape and smooth surfaces of various materials, including wood, metal, and plastic. Woodworking files typically have a specific shape or pattern, such as flat, half-round, or round.Chisels: Chisels are cutting tools with a sharp blade at the end of a handle. They are used to remove or carve out material from wood, creating precise cuts, mortises, or sculptural details. Chisels come in various shapes and sizes, including bench chisels, mortise chisels, and carving chisels.Planes: Planes are tools used to shape and smooth wooden surfaces. They consist of a cutting blade set at an angle within a flat base. By pushing or pulling the plane across the wood's surface, it shaves off thin layers to create a smooth and even finish. Different types of planes include bench planes, block planes, and shoulder planes.All these tools require manual operation and are essential for traditional woodworking techniques .
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During gait the body is gaining speed:____.
a. during terminal stance
b. during mid stance
c. during initial swings
d. at mid stance event
Answers
During gait the body of a living organism is gaining speed: a. during terminal stance.
What is physical fitness?Physical fitness can be defined as a measure of both the physical and mental soundness (wellness) or ability of an individual to engage in physical exercises, sports, work and other day-to-day activities.
For instance, one of the ways in which an individual can model good physical fitness to other individuals in their neighborhood is by:
Riding their bikes to school or work.Walking with a slow, stiff gait.What is gait?Gait can be defined as the way and manner in which an animal or individual walks or runs, thereby affecting and altering the shape of the body.
In this context, we can infer and logically deduce that during gait the body of a living organism is gaining speed, especially during terminal stance.
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