Answer:
Induced draft is a mechanical draft created by air pulled through the boiler firebox by a blower located in the breaching after the boiler.
Explanation:
How do i untange my headphone cords? If you give me a good answer i will mark u brainliest
Answer:
scissors best way 100%
Explanation:
A rocket is launched from rest with a constant upwards acceleration of 18 m/s2. Determine its velocity after 25 seconds
Answer:
The final velocity of the rocket is 450 m/s.
Explanation:
Given;
initial velocity of the rocket, u = 0
constant upward acceleration of the rocket, a = 18 m/s²
time of motion of the rocket, t = 25 s
The final velocity of the rocket is calculated with the following kinematic equation;
v = u + at
where;
v is the final velocity of the rocket after 25 s
Substitute the given values in the equation above;
v = 0 + 18 x 25
v = 450 m/s
Therefore, the final velocity of the rocket is 450 m/s.
8.28 Water is the working fluid in an ideal Rankine cycle with superheat and reheat. Steam enters the first-stage turbine at 1400 lbf/in.2 and 10008F, expands to a pressure of 350 lbf/in.2, and is reheated to 9008F before entering the secondstage turbine. The condenser pressure is 2 lbf/in.2 The net power output of the cycle is 1 3 109 Btu/h. Determine for the cycle (a) the mass flow rate of steam, in lb/h. (b) the rate of heat transfer, in Btu/h, to the working fluid passing through the steam generator. (c) the rate of heat transfer, in Btu/h, to the working fluid passing through the reheater. (d) the thermal efficiency.
Answer:
Betbtybrbytntrnyrnrynunjhjhnthnnhtnnthnhtnnhnhrnntnthhnhnhtnthn
Explanation:
A diagram and graphs describe an experiment to determine torque variation
The power of the braking system is fundamentally measured in brake torque. The effective radius, or how far away from the hub center the brake caliper acts on the disc, is that distance.
What is Brake torque?Utilizing the maximum power and efficiency of an internal combustion engine means using the best ignition timing to produce the most brake torque. For any engine running circumstances, there is always the ideal spark timing. Wide-open throttle is the best situation for MBT, however idle engine operation is not ideal. The power of the braking system can be summed up as brake torque. At a specific distance from the hub center, referred to as the effective radius, the brake caliper applies pressure to the disc. Braking torque is equal to the caliper's force times the system's effective radius. The force used to slow down the rotors is referred to as brake torque.To learn more about Brake torque refer to:
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Brake torque is the primary measurement of the braking system's power. This distance is the effective radius, or the distance the brake caliper acts on the disc from the hub center.
What does torque refer to?To get the most out of an internal combustion engine's power and efficiency, the best ignition timing is needed to generate the most brake torque.
The ideal spark timing is always available for any engine operation. MBT works best with the throttle open, but idle engine operation is not ideal.
The term "brake torque" can be used to summarize the braking system's power. The effective radius is the distance from the hub center at which the brake caliper applies pressure to the disc.
The caliper's force divided by the system's effective radius is the braking torque. Brake torque is the force applied to the rotors to slow them down.
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suggest in what ways burton could improve the process of producing snowboards, as well as their operations and their logistics systems, to strengthen and sustain their competitiveness, moving forward.
The ways that burton could improve the process of producing snowboards, as well as their operations and their logistics systems are; Explained below
Business Efficiency and ProductivityFor burton to improve their competitive advantage, they can adopt various business methods to improve their performance as follows;
Logistics and supply chain management are very important factors that can be used to improve upon the competitiveness of business. Thus, snowboards flow should be well managed to gain improvement in efficiency and effectiveness of delivery which will ensure patronage of prospective customers.
Logistics systems perform various operations that leads to the competitive advantage I spoke about earlier. Finally, the production department should ensure that they produce quality products such that customers are motivated to repurchase.
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Q1: Obtain the equivalent capacitance for the circuit of figure below between 1. Terminal a-c; 2. Terminal b-c; 3. Terminal c-d; a 4µF HH b [μF 2μF 3µF 6µF C 12μF HH d 8μF
1. The equivalent capacitance between terminals a-c is 2.4 μF
2. The equivalent capacitance between terminals b-c is 6μF
3. The equivalent capacitance between terminals c-d is 12 μF
What is a capacitance?Capacitance is the ability for a device to store charge
1. How to find the equivalent capacitance betwee terminals a-c?Given that the capacitance bewteen terminals a-c = a-b + b-c
Now, the capacitance between terminals b-c are in parallel.
So, for capacitances in parallel, we add their capacitances to get the equvalent capacitance.
So, the equivalent capapcitance between b-c is C = 1 μF + 2μF + 3µF = 6μF
Now C is in series with the capapcitance between terminals a-b.
Since they are in series, their equivalent capapcitance C' is
1/C' = 1/4μF + 1/C
= 1/4μF + 1/6μF
= (3 + 2)/12 μF
1/C' = 5/12 μF
C' = 12/5 μF
= 2.4 μF
So, the equivalent capacitance between terminals a-c is 2.4 μF
2. How to find the equivalent capacitance betwee terminals b-c?To find the equivalent capacitance between terminals b-c, we see that the capacitance between terminals b-c are in parallel.
So, for capacitances in parallel, we add their capacitances to get the equvalent capacitance.
So, the equivalent capapcitance between b-c is C = 1 μF + 2μF + 3µF = 6μF
So, the equivalent capacitance between terminals b-c is 6μF
3. How to find the equivalent capacitance betwee terminals c-d?Since there is only one capacitor between terminals c-d, the equivalent capacitance is equal to the value of that capacitor which is 12 μF
So, the equivalent capacitance between terminals c-d is 12 μF
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A hydrogenation catalyst is prepared by soaking alumina particles (100-150 mesh size) in aqueous NiNO3 solution. After drying and reduction, the particles contain about 7 wt% NiO. This catalyst is then made into large cylindrical pellets for rate studies. The gross measurements for one pellet are: Mass, g 3.15 Diameter, mm 25 Thickness, mm 6 Volume, cm3 3.22 The alumina particles contain micropores, and the pelleting process introduces macropores surrounding the particles. If the macropore volume of the pellet is 0.645 cm3 and the micropore volume is 0.40 cm3 /g of particles, determine: i] The density of the pellet ii] The macropore volume in cm3 /g iii] The macropore void fraction in the pellet iv] The micropore void fraction in the pellet v] The solid fraction vi] The density of the particles
i] The density of the pellet is 0.977 g/cm^{3}. ii] The macropore volume in cm^{3}/g is 0.205 cm^{3}/g. iii] The macropore void fraction in the pellet is 25.1%.iv] The micropore void fraction in the pellet is 49.0%. v] The solid fraction of the pellet is 25.9%. vi] The density of the particles is 1.222 g/cm^{3}.
i] To determine the density of the pellet, we can use the formula:
Density = Mass / Volume
Given that the mass of the pellet is 3.15 g and the volume is 3.22cm^{3}, we can calculate the density as follows:
Density = 3.15 g / 3.22 cm^{3}≈ 0.977 \(g/cm^{3\)
ii] The macropore volume in cm3/g can be calculated by dividing the macropore volume of the pellet (0.645 cm3) by the mass of the pellet (3.15 g):
Macropore volume = 0.645 cm^{3} / 3.15 g ≈ 0.205 \(cm^{3} /g\)
iii] The macropore void fraction in the pellet can be calculated using the formula:
Macropore void fraction = Macropore volume / Total volume of the pellet
Total volume of the pellet = Volume - Macropore volume = 3.22 cm^{3}- 0.645 cm^{3} = 2.575 cm^{3}
Macropore void fraction = 0.645 cm^{3} / 2.575 \(cm^{3}\)≈ 0.251 or 25.1%
iv] The micropore void fraction in the pellet can be calculated using the given micropore volume of the particles (0.40 cm^{3} /g) and the mass of the pellet (3.15 g):
Micropore volume in the pellet = Micropore volume/g x Mass
Micropore volume in the pellet = 0.40 \(cm^{3} /g\) x 3.15 g = 1.26 cm3
Micropore void fraction = Micropore volume in the pellet / Total volume of the pellet
Micropore void fraction = 1.26 \(cm^{3}\) / 2.575 \(cm^{3}\) ≈ 0.490 or 49.0%
v] The solid fraction of the pellet can be calculated by subtracting the sum of macropore and micropore void fractions from 1:
Solid fraction = 1 - (Macropore void fraction + Micropore void fraction)
Solid fraction = 1 - (0.251 + 0.490) ≈ 0.259 or 25.9%
vi] The density of the particles can be determined using the mass of the pellet (3.15 g) and the total volume of the particles:
Total volume of the particles = Volume - Macropore volume = 3.22 \(cm^{3}\)- 0.645 \(cm^{3}\) = 2.575\(cm^{3}\)
Density of the particles = Mass / Total volume of the particles
Density of the particles = 3.15 g / 2.575\(cm^{3}\) ≈ 1.222 \(g/cm^{3}\)
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Give me source code of Simple openGL project. ( without 3D or Animation) simple just.
Answer:
Use GitHub or stackoverflow for this answer
Explanation:
It helps with programming a lot
Do you think we would have a use for a technology that would mimic the flight of a hummingbird?
Answer:
I think we would.
Explanation:
Only if u invent it.
answer
i don't think so
but it will take a lot of thinking if it is
possible
When your workplace obtains new materials, you should add them to the chemical list:
Answer:
immediately
Explanation:
Terminal 2 on a Potential Relay goes to _______ ?
Answer:
Terminal 2 on a potential relay typically goes to the start winding of a motor.
Explanation:
The potential relay is an electromechanical device used in some types of motors to provide a temporary boost to the starting torque. Terminal 2 is connected to the start winding to assist in starting the motor.
explain what the buffer manager must do to process a read request for a page. what happens if the requested page is in the pool but not pinned?
When processing a read request for a page, the buffer manager must load the page into the buffer pool if it is not already there If the page is pinned, the buffer manager must wait until it is unpinned before it can be replaced with a different page.
When a read request for a page is received, the buffer manager must first determine if the requested page is already loaded into the buffer pool. If it is not, the buffer manager will load the page from disk into a buffer frame in the pool. This process is known as "content loaded."
Once the requested page is in the buffer pool, the buffer manager must then check if the page is currently pinned. A page is pinned when it is being used by a transaction and cannot be removed from the buffer pool until the transaction is complete. If the requested page is in the pool but not pinned, the buffer manager will simply return a pointer to the buffer frame containing the requested page.
If the requested page is already in the buffer pool but is pinned, the buffer manager must wait until the page is unpinned before it can be replaced with a different page. This can lead to a delay in processing the read request and potentially impact overall system performance.
In summary, when processing a read request for a page, the buffer manager must load the page into the buffer pool if it is not already there, and check if the page is pinned before returning a pointer to the buffer frame containing the requested page. If the page is pinned, the buffer manager must wait until it is unpinned before it can be replaced with a different page.
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Which two statements are correct about public IPv4 addresses? (Choose two.)
a. 192.168.1.10 is a public IPv4 address.
b. Public IPv4 address exhaustion is a reason why there are private IPv4 address and why organizations are transitioning to IPv6.
c. Public IPv4 addresses are allowed to be assigned to devices within an organization’s intranet (internal network).
d. To access a device over the internet, the destination IPv4 address must be a public address.
The correct statements about public IPv4 addresses are that public IPv4 address exhaustion is driving the transition to IPv6 and that a public address is required to access a device over the internet.
The question is about public IPv4 addresses and the task is to choose two statements that are correct about them.
a. This statement is incorrect because 192.168.1.10 is a private IPv4 address, not a public one. Private IP addresses are reserved for use within a local network and cannot be routed on the internet.
b. This statement is correct. Public IPv4 address exhaustion is a real issue that is driving the transition to IPv6. As the number of internet-connected devices has grown, the pool of available public IPv4 addresses has been depleted, leading to the adoption of private IPv4 addresses and network address translation (NAT) to allow multiple devices to share a single public IP.
c. This statement is incorrect. Public IPv4 addresses are assigned by internet service providers (ISPs) and are used to identify devices on the public internet. Devices on an organization's intranet typically use private IPv4 addresses that are not accessible from the public internet.
d. This statement is correct. To access a device over the internet, the destination IPv4 address must be a public address that is routable on the internet.
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what factor do you need to calculate fte (full time equivalent) for indoor water use? what factor do you need to calculate fte (full time equivalent) for indoor water use? the amount of water used in baseline design case the building density the flush and flow rates of fixtures the type of building occupant (full time, part time, transient) and hours worked per week
To calculate FTE (Full-Time Equivalent) for indoor water use, you typically need the following factors:
The amount of water used in the baseline design case: This refers to the estimated amount of water that would be used by the building's occupants under normal operating conditions. This can be based on factors such as the number of occupants, their behavior, and the types of fixtures installed in the building.
The flush and flow rates of fixtures: This refers to the rate at which water is used by various fixtures in the building, such as toilets, faucets, and showers. The flow rates can be measured in gallons per minute (GPM) or liters per minute (LPM), and the flush rates can be measured in gallons per flush (GPF) or liters per flush (LPF).
The type of building occupant (full time, part time, transient): This refers to the nature of the building's occupants and their expected water usage patterns. For example, full-time occupants may use more water than part-time or transient occupants.
Hours worked per week: This refers to the number of hours that the building's occupants are expected to be on site and using water. This factor can be used to estimate the amount of water used during different times of day and days of the week.
Building density is not typically a factor in calculating FTE for indoor water use, as it is more relevant for outdoor water use.
TRUE / FALSE. the industry standard height for a rack in rack units is 42u.
The given statement is: TRUE.
The industry standard height for a rack in rack units is 42u. One rack unit, also known as 1U, is equal to 1.75 inches or 44.45 millimeters. Therefore, a 42u rack would be 73.5 inches or 1866.9 millimeters tall. This standard size allows for easy compatibility and interchangeability of equipment between different manufacturers and vendors. It also makes it easier to plan and design data centers or server rooms, as the size and space required for equipment can be estimated accurately based on the number of rack units needed.
It's worth noting that while 42u is the industry standard height for a rack, there are also other sizes available such as 24u, 36u, 45u, and 48u. These sizes may be used in specific situations where space constraints or other factors require a different size rack.
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suppose a three-phase uncontrolled bridge rectifier is required to produce an rms voltage across the load of at least 380 v. what must the minimum amplitude of the rectifier's input sinusoidal phase voltage be?
Each phase voltage source is connected to the anode of a diode in a three phase half wave unregulated converter. Three diodes' cathodes are connected to one another to create a positive load terminal.
The three-phase voltage is what?On the other hand, a three-phase connection consists of three distinct conductors required for electrical transmission. Up to 230 Volts of voltage may be included in a single-phase power supply system.
A bridge rectifier converts AC to DC in what way?The AC input from the mains is first stepped down to a lower voltage. The negative cycle of the AC waveform is then eliminated by passing this AC supply through a rectifier circuit. After that, the signal is filtered to produce the DC output.
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A manufacturing plant produces robotic arms for a surgical robotics company through the following three-stage process:
Stage 1: Receiving. The plant receives raw materials from its suppliers by truck. The plant can receive up to 10 tons (we will use metric tons, so 1 ton = 1000 kg) of raw materials per day. The plant also has enough storage space for exactly 10 tons of these raw materials.
Stage 2: Metal molding and Electronics. The plant uses the raw materials to produce two intermediate components of the arms, the metal molding, and the internal electronics. Separate machines are used to produce metal molding and electronics, and they can all be run simultaneously. There are two machines to convert raw materials into metal molding, and each can convert up to 2 tons of raw materials into 2 tons of metal molding each day. There is one machine that converts raw materials into electronics and it can convert 4 tons of raw materials into 4 tons of electronics units each day. Completed metal moldings and electronics are then stored until Stage 3. For simplicity, we assume that all raw materials can be converted into either metal molding or electronics. Each metal molding weighs 2 kg and each unit of electronics weighs 1 kg.
Stage 3: Assembly. Metal moldings and internal electronics are assembled into robotic arms. There are 50 factory workers who can each assemble 10 arms each hour and work 8 hours each day. Each arm requires 2 metal moldings and 1 unit of electronics. After assembly, the arms are stored and prepared for shipping.
Q: For the system described above, what is the system’s capacity? Where are the bottlenecks?
The system's capacity is determined by the bottleneck, which is the stage with the lowest throughput.
In this case, the bottlenecks in the manufacturing plant's process for producing robotic arms are the machines for metal molding and electronics production. The capacity of these machines limits the overall capacity of the system.
The system's capacity is limited by the stage with the lowest throughput. In this case, the bottleneck is the metal molding and electronics production stage. The metal molding machines can convert up to 4 tons of raw materials into metal molding per day (2 tons each from two machines), while the electronics machine can convert 4 tons of raw materials into electronics units per day. This means that the metal molding and electronics stage has a combined capacity of 4 tons each per day.
Since each arm requires 2 metal moldings and 1 unit of electronics, the maximum number of arms that can be assembled is limited by the availability of these components. With a daily capacity of 4 tons each for metal molding and electronics, the bottleneck restricts the number of arms that can be produced. The assembly stage, which has 50 workers capable of assembling 10 arms each hour, is not the bottleneck in this case.
Therefore, the system's capacity is determined by the metal molding and electronics production stage. To increase the overall capacity of the system, the plant would need to address the bottleneck by increasing the capacity of the metal molding and electronics machines, either by adding more machines or optimizing their efficiency.
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On a negatively grounded system, the
Jump Pack negative clamp should be
attached to the when engine starting.
Answer:
Explanation:
The positive (red) cable should be attached to the positive terminals on each battery. The negative (black) cable should have one end attached to the negative terminal of the dead battery, and one end grounded.
Start by connecting the positive (often red) clamps of the jumper cables to the positive terminals of your battery. These are often marked, but they can be hard to see. Be sure to look closely to ensure that you are connecting to the right portion of the battery.
What measurement is the usable area of conduit based on?
Technician A says that all electric motors are DC motors. Technician B says that two types of brushless motors use AC current. Which technician is correct
Answer:
Technician B only.
Explanation:
It is not necessary that all electric motors will use Direct current, some may also use Alternative current. Some electric motors that use DC may use brushes. There are two types of brushless motors that use alternative current.
What are the 13 elements of design?
Contrast, Balance, Emphasis, Movement, White Space, Proportion, Hierarchy, Repetition, Rhythm, Pattern, Unity, and Variety are some of the aspects or guiding principles of visual design.
There is much disagreement on the number of design principles that exist (and even their exact nature), although 12 are frequently mentioned. Contrast, balance, emphasis, proportion, hierarchy, repetition, rhythm, pattern, white space, movement, diversity, and unity are among the 12 concepts described in the infographic below (there are also some additional Gestalt principles of design).
These ideas are frequently discussed individually, but in reality, they function together to produce designs that are both aesthetically pleasing and intuitive for the user. Professional designers are aware of how the principles interact to produce the intended impact. They can support, reinforce, or even oppose one another.
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If you are going to do it please do it
right. I am tired of getting wrong solutions.
3. Determine the zero-state response, yzs(t), of the LTIC system given with transfer function 1 Ĥ (s) = (s² +9) to an input f(t) = cos(2t)u(t).
The zero-state response is: y(t) = (1 / 5) * (e^(3t / 5)sin(3t)u(t) - e^(-3t / 5)sin(3t)u(t))
The LTIC system is given with a transfer function 1 Ĥ (s) = (s² + 9), the input function is f(t) = cos(2t)u(t) and we need to determine the zero-state response yzs(t) .
The response of the system when the input is not taken into account (either the input is zero or turned off). It is the sum of natural response and zero-input response. This response is due to initial conditions only. The output when the input is zero is called zero input response or homogeneous response.
The transfer function H(s) is given as 1 Ĥ (s) = (s² + 9)Input function f(t) is cos(2t)u(t).
The Laplace transform of the input function is F(s) = [s]/[s² + 4]
The output Y(s) is given by;
Y(s) = F(s) * H(s)Y(s) = [s]/[s² + 4] * 1 / (s² + 9)
Using partial fraction expansion,Y(s) = 1 / 5 [1 / (s - 3i) - 1 / (s + 3i)] + 2s / [s² + 4]
The inverse Laplace transform of Y(s) is given as;
y(t) = (1 / 5) * (e^(3t / 5)sin(3t)u(t) - e^(-3t / 5)sin(3t)u(t)) + cos(2t)u(t) * 2
The zero-state response is the part of the total response that depends only on initial conditions, not on the input function.
It is obtained by setting the input function f(t) to zero and taking the inverse Laplace transform of the transfer function H(s) to get the impulse response h(t), which is the zero-input response, and then convolving it with the initial conditions to get the zero-state response yzs(t).
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how fast does a rocket need to be traveling to excape our earths gravitational pull?
Answer:
25,000 mph or around 40,000 kph
Explanation:
all depends on the altitude and weather conditions but this is average
You currently have 15 switches with an average of 20 stations connected to each switch.
The switches are connected to one another so that all 300 computers can communicate
with one another in a single LAN. You have been detecting a high percentage of
broadcast frames on this LAN. You think the number of broadcasts might be having an
impact on network performance. Suggest in details what should you do?
Some of the things that can be done in the above scenario regarding issues with the LAN involving high broadcast frames are:
A network analyzer, also known as a network protocol analyzer or packet analyzer, is a software program, dedicated appliance, or feature set inside a network component that is used to diagnose network performance or to improve security within a corporate network.
A network analyzer is a tool for monitoring and analyzing network traffic in real time. Using a network analyzer, you may locate the source of the broadcast traffic and take appropriate action.
In the preceding example, your network architecture may not be optimum for the amount of switches and devices you have. To lower the amount of broadcast frames, you may need to install extra switches or reorganize your present switches.
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What should be a concern as a weldment becomes larger as more parts are added?
Which option identifies the section of a project charter represented in the following scenario?
Updated POS terminals will be available to the following five departments by July 31, 2015.
O project assumptions
O project deliverables
O project constraints
O project requirements
the shear strength of each of ten test spot welds is determined, yielding the following data (psi): 392 376 401 367 389 362 409 415 358 375 a. assuming that shear strength is normally distributed, estimate the true average shear strength and standard deviation of shear strength using the method of maximum likelihood. b. again assuming a normal distribution, estimate the strength value below which 95% of all welds will have their strengths. [hint: what is the 95th percentile in terms of m and s? now use the invariance principle.] c. suppose we decide to examine another test spot weld. let x 5 shear strength of the weld. use the given data to obtain the mle of p(x
(a) The sample mean is calculated as 382.3 psi and sample standard deviation is calculated as 19.76 psi.
(b) The 95th percentile is calculated as 414.80 psi that is below 414.80 psi, the 95% of all the welds have their strengths.
(c) There are 81.5% chances that the shear strength of the welds is less than or equal to 400 psi.
What is standard deviation?A statistic known as the standard deviation, which is calculated as the square root of variance, gauges a dataset's dispersion from its mean. By figuring out how far off from the mean each data point is, the standard deviation can be calculated as the square root of variance.
A higher deviation exists within a data set if the data points are further from the mean; consequently, the higher the standard deviation, the more dispersed the data.
By comparing the annual rate of return of an investment to the standard deviation, a statistical measurement used in finance, one can learn more about the historical volatility of that investment.
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The analysis of an algorithm must take into consideration the computer that will be used to run a program that implements the algorithm.False
False, the analysis of an algorithm must take into consideration the computer that will be used to run a program that implements the algorithm.
What is an algorithm?
An algorithm (/aelrm/ (listen)) is a finite sequence of exact instructions used to solve a class of particular problems or carry out a calculation in mathematics and computer science. For performing calculations and processing data, algorithms are employed as specifications. Advanced algorithms can do automated deductions (also known as automated reasoning) and employ logical and mathematical checks to reroute the execution of the code along several paths (referred to as automated decision-making).
What is the analysis of an algorithm?
The act of determining an algorithm's computational complexity—the amount of time, storage, or other resources required to execute it—is known as algorithm analysis in computer science. This typically entails formulating a function that connects the amount of an algorithm's input to the number of steps (time complexity) or storage locations (number of storage locations) it requires (its space complexity). When the values of this function are modest or increase slowly relative to an increase in the size of the input, an algorithm is said to be efficient.
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Which of the following applies to a module?
A) Monitors specific devices.
B) Is a computer.
C) Uses inputs to determine outputs.
D) All of the above
Answer:
D all of the above
Explanation:
because I said so
a packet of five cards consists of the ace of spades, the ace of hearts, the 2 of spades, the 3 of diamonds, and the 4 of clubs. if the packet is thoroughly shuffled, what is the probability that the two aces end up side by side?
Answer:
There are 5! = 120 possible ways to order the five cards in the packet. To find the probability that the two aces end up side by side, we can count the number of ways in which the two aces are adjacent and divide by the total number of possible orderings.If we consider the two aces as a single unit, there are 4! = 24 ways to arrange the three-card unit {AA, 2S, 3D, 4C} with the aces together. However, the aces can be arranged within the unit in two ways (Ace of Spades - Ace of Hearts or Ace of Hearts - Ace of Spades). So there are 2 x 24 = 48 ways to arrange the five cards with the two aces together.Therefore, the probability that the two aces end up side by side is 48/120 = 2/5 or 0.4.: