(c) Given three points x₁=(2.3), x2=(3,4), x3=(2,4). Find the kernel matrix using the Gaussian kernel assuming that o² = 5
Answers
Answer:
To find the kernel matrix using the Gaussian kernel assuming that o² = 5 and given x₁=(2,3), x₂=(3,4), and x₃=(2,4), we can use the following formula:
K(xᵢ, xⱼ) = exp(- ||xᵢ-xⱼ||² / 2o²)
where ||xᵢ-xⱼ|| is the Euclidean distance between points xᵢ and xⱼ. So, to find the kernel matrix , we first need to calculate the pairwise distances between the three points:
||x₁-x₂||² = (3-2)² + (4-3)² = 2 ||x₁-x₃||² = (2-2)² + (4-3)² = 1 ||x₂-x₃||² = (2-3)² + (4-4)² = 1
Then, we can plug these distances into the Gaussian kernel formula:
K(x₁, x₁) = exp(-0 / 10) = 1 K(x₁, x₂) = exp(-2 / 10) ≈ 0.67 K(x₁, x₃) = exp(-1 / 10) ≈ 0.82
K(x₂, x₁) = exp(-2 / 10) ≈ 0.67 K(x₂, x₂) = exp(-0 / 10) = 1 K(x₂, x₃) = exp(-1 / 10) ≈ 0.82
K(x₃, x₁) = exp(-1 / 10) ≈ 0.82 K(x₃, x₂) = exp(-1 / 10) ≈ 0.82 K(x₃, x₃) = exp(-0 / 10) = 1
Therefore, the kernel matrix is:
[ 1 0.67 0.82 ]
K = [ 0.67 1 0.82 ] [ 0.82 0.82 1 ]
Note that the kernel matrix is symmetric and positive semi-definite, which are the desired properties for a valid kernel matrix.
Explanation:
Related Questions
Please explain the term ‘causal link’. What is the importance of the causal link
in work accidents? What kind of situations breaks the causal link? Explain all
situations with examples.
Answers
Answer:
:)
Explanation:
The correlation between a factor and an outcome could be a coincidence, or it could be caused by a completely different factor. For example, as ice cream sales increase, sales of meat for barbecues also increase.
which type of deck fitting is are used for fastening a line or a wire
Answers
The type of deck fitting used for fastening a line or a wire is a **cleat**.
A cleat is a metal or plastic fitting with two projecting arms or horns that provide a secure point for tying off ropes or wires. Cleats are commonly found on boats, docks, and other maritime structures where lines or wires need to be securely fastened. They come in various sizes and designs, with the most common being the "H" or "T" shape, allowing for easy looping and securing of lines or wires. Cleats provide a reliable method for securing ropes or wires, preventing them from slipping or coming undone, and are widely used in marine and sailing applications.
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What Kind Of Algorithm Technique Is Used By The Linear Search Algorithm? Name The Technique And Explain Why You Believe
Answers
The linear search algorithm uses a technique called "Sequential Search" or "Linear Search."
Linear search is a simple algorithm that sequentially checks each element in a list or array until it finds the target element or reaches the end of the list. It starts from the beginning and compares each element in order until a match is found or the end of the list is reached.
Linear search can be considered a brute force or naive search technique because it examines each element one by one in a linear manner, without any specific order or optimization. It does not require any pre-processing or special data structures.
Linear search fits under the category of "Sequential Search" because it follows a sequential, step-by-step approach to find the desired element. It is particularly useful when the list or array is unsorted or when there is no additional information available to optimize the search process.
While linear search is straightforward to implement, it has a time complexity of O(n), where n is the number of elements in the list. This means that the search time increases linearly with the size of the list.
As a result, linear search is more efficient for smaller lists or when the target element is located toward the beginning of the list. For larger lists or frequent searches, other algorithms like binary search or hash-based techniques provide faster search times.
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help
A 1D signal of up to 20,000 samples is considered.
Using data structures specific to simple chained lists, determine the number of zero passes of the signal. The signal goes through 0 if it changes its sign from one sample to another. 0 is not considered a sign change.
The use of STL is prohibited. Any data structure in the STL or function in the STL used will lead to a 0-point solution.
The use of vectors is prohibited. Any static (T V [N]) or dynamic (T * V = new T [N]) vector structure used will lead to the 0 score of the solution.
Input data:
N number of samples signal samples
Output data:
the number of passes through zero
Example:
Input data:
10
1 3 -2 -6 4 10 1 -5 4 1 Output data:
4
Explanation:
There are 4 sign changes between two consecutive samples:
3 -2 -> sign change (first zero crossing)
-6 4 -> sign change (second zero crossing)
1 -5 -> sign change (third zero crossing)
-5 4 -> sign change (fourth zero crossing)
Answers
Answer:
er of passes through zero
Example:
Input data:
10
1 3 -2 -6 4 10 1 -5 4 1 Output data:
4
Explanation:
There are 4 sign changes between two consecutive samples:
3 -2 -> sign change (first zero crossing)
-6 4 -> sign change (second zero crossing)
Explanation:
er of passes through zero
Example:
Input data:
10
1 3 -2 -6 4 10 1 -5 4 1 Output data:
4
Explanation:
There are 4 sign changes between two consecutive samples:
3 -2 -> sign change (first zero crossing)
-6 4 -> sign change (second zero crossing)er of passes through zero
Example:
Input data:
10
1 3 -2 -6 4 10 1 -5 4 1 Output data:
4
Explanation:
There are 4 sign changes between two consecutive samples:
3 -2 -> sign change (first zero crossing)
-6 4 -> sign change (second zero crossing)er of passes through zero
Example:
Input data:
10
1 3 -2 -6 4 10 1 -5 4 1 Output data:
4
Explanation:
There are 4 sign changes between two consecutive samples:
3 -2 -> sign change (first zero crossing)
-6 4 -> sign change (second zero crossing)er of passes through zero
Example:
Input data:
10
1 3 -2 -6 4 10 1 -5 4 1 Output data:
4
Explanation:
There are 4 sign changes between two consecutive samples:
3 -2 -> sign change (first zero crossing)
-6 4 -> sign change (second zero crossing)
In a vehicle with front disc brakes, the vehicle pulls to the left when braking. What causes this?
A. Seized left brake caliper piston
B. Collapsed left brake line hose
Answers
what is the thermo-elastic stress-strain relationship? write out the equation and explain the definition of each term involved. g
Answers
The thermo-elastic stress-strain relationship is important in understanding the behavior of materials under different thermal and mechanical conditions, and it has important implications for the design and performance of many engineering systems.
This relationship can be expressed mathematically through the following equation:σ = EαΔT + Eε
where σ represents stress, E represents the modulus of elasticity, α represents the coefficient of thermal expansion, ΔT represents the change in temperature, and ε represents strain.The first term on the right-hand side of the equation represents the thermal stress that develops in a material as a result of a change in temperature. This stress is caused by the material expanding or contracting due to changes in its dimensions resulting from changes in temperature.The coefficient of thermal expansion, α, is a measure of the material's sensitivity to temperature changes and represents the fractional change in length per degree of temperature change.The second term on the right-hand side of the equation represents the mechanical strain that occurs as a result of external forces acting on the material. This term is independent of temperature and represents the material's response to an applied load.
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9.11 viscous fluid flows past a flat plate such that theboundary layer thickness at a distance 1.3 m from the leading edgeis 12 mm. determine the boundary layer thickness at distances of0.20, 2.0, and 20 m from the leading edge. assume laminar flow. (b)if the upstream velocity of the flow in part (a) is u 1.5 m/s,determine the kinematic viscosity of the fluid.
Answers
A) The boundary layer thickness from the leading edge at distances of 0.20m = 0.004706
2.0m = 0.014884
20m = 0.04706
B) If the upstream velocity of the flow in part (a) is u 1.5 m/s, then the kinematic viscosity of the fluid at
At 0.20m, v = 6 × 10⁻⁷ m²/sec
At 2.0m, v = 6 × 10⁻⁶ m²/sec
At 20m, v = 6 × 10⁻⁵ m²/sec
What is kinematic viscosity?A fluid's internal resistance to flow when subjected to gravitational forces is measured by a property called kinematic viscosity. A calibrated viscometer at a tightly regulated temperature is used to measure the number of seconds needed for a fixed volume of fluid to move a known distance through a capillary.
Standard units are used to translate this value into square millimeters per second or centistokes (cSt). Only when the test's temperature is reported along with the viscosity, for instance 23 cSt at 40 degrees C, is the viscosity reporting considered valid.
Viscosity testing offers the highest degree of consistency and repeatability among all used oil analysis tests. The viscosity of the base oil, meanwhile, is the factor that is most important for efficient component lubrication.
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Your friend offers to pay you $3,000 five years from now. You'd prefer the money now so you can put it in a bank account at 8% interest. How much less Should your friend pay you today in. order to be equivalent to her original offer ?
Answers
Answer:
$958.25
Explanation:
PV = FV(1 +r)^(-t) . . . . present value of an amount earning rate r compounded annually for t years
PV = $3000(1.08^-5) ≈ $2041.75
The equivalent present value is $2041.75.
__
This amount is less than the offered amount by ...
$3000 -2041.75 = $958.25
She should pay you $958.25 less in order to make the offers equivalent.
Think of the differences between circuit-switching and packet-switching paradigms in the Internet core design. Assume an Internet Service Provider (ISP) has an access link with 1500 Mbps capacity and, at any given time, only 1% of its customers are active. However, during that active period, users generate data at a constant rate of 25 Mbps. Assume that there is a total of 100 customers of this ISP. Please answer the following questions. Show your work.
i. What is the probability that more than 1 users will be active?
ii. What is the probability that more than 2 users will be active?
Answers
Answer:
0.264 ; 0.079
Explanation:
Given that:
Sample size, n = 100
Probability of being active, p = 1% = 1/100 = 0.01
Using the binomial probability relation :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Probability that more than 1 user will be active
P(x > 1) = 1 - [p(x=0) + p(x = 1)]
P(x = 0) = 100C0 * 0.01^0 * 0.99^100 = 0.366
P(x = 1) = 100C1 * 0.01^1 * 0.99^99 = 0.370
P(x > 1) = 1 - [0.366 + 0.370]
P(x > 1) = 0.264
2.)
Probability that more than 2 user will be active
P(x > 2) = 1 - [p(x=0) + p(x = 1) + p(x = 2)]
P(x = 0) = 100C0 * 0.01^0 * 0.99^100 = 0.366
P(x = 1) = 100C1 * 0.01^1 * 0.99^99 = 0.370
P(x = 2) = 100C2 * 0.01^2 * 0.99^98 = 0.185
P(x > 1) = 1 - [0.366 + 0.370 + 0.185]
P(x > 1) = 0.079
Only the Scrum Team can change its Sprint Backlog during a Sprint. ____________________________ that the Scrum Team plans to accomplish during the Sprint, and it belongs solely to the Scrum Team.
Answers
The statement "Only the Scrum Team can change its Sprint Backlog during a Sprint" is true in the context of Scrum. The Sprint Backlog is a list of items that the Scrum Team plans to accomplish during the Sprint, and it belongs solely to the Scrum Team. This means that no one outside the Scrum Team can modify the Sprint Backlog during the Sprint.
The Sprint Backlog is a dynamic document that evolves throughout the Sprint. It is the responsibility of the Development Team to update the Sprint Backlog daily during the Daily Scrum meeting. This helps the team to track progress and identify any issues or impediments that need to be addressed.The Product Owner is responsible for adding items to the Product Backlog, which the Development Team pulls into the Sprint Backlog for the current Sprint. However, once the Sprint has started, the Product Owner cannot add, remove, or modify items in the Sprint Backlog. This ensures that the Scrum Team has a clear focus on the Sprint goal and can work towards achieving it without any distractions.In case there are any changes required to the Sprint Backlog during the Sprint, it is the Development Team's responsibility to decide whether the changes are necessary. If they determine that a change is required, they must update the Sprint Backlog and communicate it to the rest of the Scrum Team during the Daily Scrum meeting.
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PLEASE HELP!
I'm in the middle of a test and the teacher didn't go over the material!
Answers
Answer:
1. 4/d and 1
2. Engineering tech with 3, Engineer with 1, and Scientist with 2
Explanation:
I'm pretty sure but tell me if im wrong
which architectural service describes the process of determining and outlining their client's needs?
Answers
Architectural services typically involve the process of determining and outlining a client's needs.
This includes gathering information about the client's existing or desired space, understanding their requirements and objectives, and designing a plan that meets those needs.
The plan may include elements such as space planning, structural design, mechanical engineering, electrical engineering, and other design elements.
Architectural services refer to the planning, designing, and overseeing of the construction of buildings. These services are provided by architects, who use their expertise to create plans and drawings that meet the requirements of clients and local building codes.
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select all the areas in which an operable 4096-code transponder and mode c encoding altimeter are required.
Answers
Controlled airspace, Class A, B, C, and E airspace above 10,000 feet MSL, Class E airspace over the Gulf of Mexico, airspace within 30 nm of designated primary airports, Class C and D airspace, and Class E airspace at and above 3,000 feet MSL over the contiguous United States.
In which areas are an operable 4096-code transponder and Mode C encoding altimeter required?An operable 4096-code transponder and Mode C encoding altimeter are required in specific areas to ensure effective air traffic control and aircraft identification.
These areas include controlled airspace, which encompasses Class A, Class B, Class C, and Class E airspace above 10,000 feet MSL (mean sea level) over the contiguous United States, as well as Class E airspace over the Gulf of Mexico.
Additionally, these equipment requirements apply in certain airspace within 30 nautical miles of designated primary airports, Class C and Class D airspace, and Class E airspace at and above 3,000 feet MSL over the contiguous United States.
These requirements are enforced to enhance air traffic surveillance, facilitate separation of aircraft, and maintain a high level of safety within the specified airspace.
Compliance with transponder and altimeter encoding requirements ensures efficient communication and accurate monitoring of aircraft positions, aiding in overall airspace management.
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write an expression that will cause the following code to print greater than -15 if the value of user_num is greater than -15.
Answers
The answer is: print("greater than -15") if user_num > -15 else None
This expression uses a conditional operator to check if the value of user_num is greater than -15. If it is, then the code will print "greater than -15". If it is not, then the expression will return None. In this code snippet, we use an if statement to check if the value of `user_num` is greater than -15. If the condition is true (user_num > -15), then the code inside the if block will execute, which is printing "greater than -15".
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Joe, a technician, is attempting to connect two hubs to add a new segment to his local network. He uses one of his CAT5 patch cables to connect them; however, he is unable to reach the new network segment from his workstation. He can only connect to it from a workstation within that segment. Which of the following is MOST likely the problem?
A. One of the hubs is defective.
B. The new hub is powered down.
C. The patch cable needs to be a CAT6 patch cable.
D. The technician used a straight-through cable.
Answers
Answer:
Option D. is correct
Explanation:
Joe uses one of his CAT5 patch cables to connect two hubs to add a new segment to his local network. As he can only connect to it from a workstation within that segment, he is not able to reach the new network segment from his workstation.
The most problem is that the technician used a straight-through cable.
Option D. is correct.
Define ways in which you would go about networking to explore opportunities in your career field and obtain more information for yourself. If applicable, explain ways in which you have already done that and how you will expand going forward. Choose one person in your career field that you would like to have a conversation with. What do you think you can learn from this person?
Answers
Answer:
mmmmmm
Explanation:
ffmfmfmmfmfmmfmfmfmfmfmffmfmfmfmfmfmfmfmfmfmfmfmfffmmfmffmmmfmfmfmfmfmfmfmfffmfmfmfmfmfmmfmfmmfmfmfmfmfmfffmfmfffmfmfmfmffmmfmfmffmfmfmfmfffmfmfmfmfmmmmfmfmfmfmfmfmfmmmfmfmfmfmfmfmfmfmmfmfmfmfmfmfmfmfmfmfmffmfmfmfmfmfmmfmfmmmmmfmfmfmffmfmfmfmffmffmfm
Who is Mario and Luigi
Answers
Answer:
they are fictional characters featured in video games etc
Answer: Mario and Luigi are game characters, which feature in the Super Mario Maker series, the Paper Mario series, but most notably, the Super Mario Bros. series. Mario debuted in Donkey Kong (1981), while Luigi debuted in Mario Bros (1983, not to be confused with Super Mario Bros, which released two years after Mario Bros).
Liquefied Natural Gas (LNG) is a natural gas in its liquid form that is clear, colorless, odorless, non-corrosive, and non-toxic.
Answers
Answer:
liquifid gas
Explanation:
when gas is introduced to a certain chemical it ends up slowly liquifying itself.
0-0 what is Boyle’s Law
Answers
Hope it helps
there is usually a positive side and a negative side to each new technological improvement?
Answers
Answer:
positive sides:
low cost improves production speedless timeeducational improvementsnegative sides:
unemployment lot of space required increased pollution creates lots of ethical issuesWhich of the following will assign a random number in the range of 1 through 50 to the variable number?
a. random(1,50) = number
b. number = random.randint(1, 50)
c. randint(1, 50) = number
d. number = random(range(1, 50))
Answers
Answer: B. number = random.randit (1, 50)
The flow between two infinitely flat parallel plates displays a parabolic profile, and is called plane Poiseulle flow.
a. True
b. False
Answers
Answer:
a. True
Explanation:
The study of fluids in a state of rest or in motion and the forces involved in it is called fluid mechanics. Fluid mechanics has a wide range of applications in the field of mechanical engineering as well as civil engineering.
When we study the flow of fluid between any two flat plates that is indefinitely flat and is parallel, the flow of the fluid is known as plane Poiseulle flow. The profile of a plane Poiseulle flow is parabolic.
The velocity profile of a plane Poiseulle flow is :
\($\frac{u(y)}{U_{max}}=1-\left(\frac{2y}{h}\right)^2$\)
Thus the answer is TRUE.
_____ can be defined as the rate at which work is done or the amount of work done based on a period of time. (2 Points) voltage power resistant current
Answers
Answer: Power
Explanation:
The rate at which work is done or the amount of work done based on a period of time is referred to as power.
Power can also be defined as the amount of energy that is being transferred per unit time. The unit of power is one joule per second or simply called the watt.
8. SAI and IA are most useful for what?
OA. Correctly measuring the front wheel track
OB. Evaluating the exact caster setting needed
OC. Determining if the setback is correct
OD. Determining if there has been collision damage
Grade/Exit
Answers
Return. The steering pivot line's angle, as seen from the front of the vehicle, is known as the steering axis inclination (SAI). When you turn the wheel away from a straight forward position, the vehicle lifts slightly due to the included angle, which is created by adding this angle to the camber (see below).
What is Sai's primary motivation?The Steering Axis Inclination (SAI) angle causes the wheel spindle to slant downward slightly as the wheel is turned, which directly affects steering and handling. The same effect is produced by caster, which is the forward or backward tilt of the steering axis as seen from the side. How is the Student Aid Index going to be determined? Your SAI is based on the financial profile of you and your family as described in the Free Application for Federal Student Aid, or FAFSA. The index will be equal to the total of your income, your parents' income, and your assets.
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The steering pivot line's angle, as seen from the front of the vehicle, is known as the steering axis inclination (SAI).
What is Sai's primary motivation?The Steering Axis Inclination (SAI) angle causes the wheel spindle to slant downward slightly as the wheel is turned, which directly affects steering and handling. The same effect is produced by caster, which is the forward or backward tilt of the steering axis as seen from the side. Your SAI is based on the financial profile of you and your family as described in the Free Application for Federal Student Aid, or FAFSA. The index will be equal to the total of your income, your parents' income, and your assets.The steering axis inclination is the angle of the steering pivot line as seen from the front of the car. The included angle, which is produced by adding this angle to the camber, causes the vehicle to lift slightly when you turn the wheel away from a straight forward position.To learn more about 'Steering Axis Inclination' refer to
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g a water treatment plant is being designed with a flowrate of 2.0 mgd. the plant will have two (equally sized) upflow clarifiers with a surface overflow rate of 800 gpd/ft2 and a detention time of four hours. a. what diameter is required for the clarifiers (ft)? b. what is the weir loading rate (gpd/ft)
Answers
The solution to the diameter asked in the question is 35.8 ft and the wire loading rate is 0.000011 gpd/ft. We can calculate it in the following manner.
To determine the diameter required for the clarifiers:
a. We can start by calculating the total surface area needed for both clarifiers. Since both are equally sized, we can divide the flowrate in half and use it for each clarifier:
2.0 mgd / 2 = 1.0 mgd
Convert mgd to gpd:
1.0 mgd x 1,000,000 g/mgd = 1,000,000 gpd
Calculate the surface area needed for one clarifier:
1,000,000 gpd / (800 gpd/ft2) = 1,250 ft2
Since the clarifiers are upflow, we can assume a height of about 10-12 feet. Let's use 12 feet for this calculation.
The volume of one clarifier is then:
1,250 ft2 x 12 ft = 15,000 ft3
To determine the diameter of the clarifiers, we can use the formula for the volume of a cylinder:
V = πr²h
Where V is the volume, r is the radius, and h is the height.
Solving for r:
r = √(V/πh) = √(15,000 ft3 / (π x 12 ft)) = 17.9 ft
The diameter is twice the radius, so:
diameter = 2 x 17.9 ft = 35.8 ft
b. To determine the wire loading rate, we need to calculate the total length of wire required for one clarifier, and then divide by the flow rate. We can use the equation:
Q = CLH¹°⁵
Where Q is the flow rate (gpd), C is a constant (we'll use 3.33 for rectangular wires), L is the length of the weir (ft), and H is the height of the weir (ft).
Solving for L:
L = Q / (CH¹°⁵) = 1,000,000 gpd / (3.33 x 12^¹°⁵ ft) = 5.5 ft
Since there are two clarifiers, the total length of wire required is:
2 x 5.5 ft = 11 ft
Dividing by the flow rate:
11 ft / 1,000,000 gpd = 0.000011 gpd/ft
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vital role of maritime english among seaferers
Answers
Answer:
uehgeg7djw7heidiisosowiuisiejei2k
referencing table 9.8 a 4.75 cy wheeled loader is moving poor blasted rock to a site 100 feet away. it will travel at its maximum speed in first gear. what is the cycle time? include haul and return times.
Answers
The formula to calculate the cycle time is Cycle time = Load time + Haul time + Dump time + Return time. For the given situation, the load time and dump time are given in Table 9.8.
What is the formula to calculate the cycle time?Table 9.8 provides cycle times for a variety of construction equipment, including wheeled loaders of different capacities.
The problem describes a specific situation where a 4.75 cy (cubic yard) wheeled loader is moving poor blasted rock to a site 100 feet away. The loader will be traveling at its maximum speed in first gear, and the problem asks for the cycle time, including haul and return times.
To calculate the cycle time, we can use the formula:
Cycle time = Load time + Haul time + Dump time + Return time
From Table 9.8, we can see that the load time for a 4.75 cy wheeled loader is 0.10 min (6 seconds), and the dump time is 0.05 min (3 seconds).
Assuming that the loader is loaded and dumped instantaneously, we only need to calculate the haul and return times.
To calculate the haul time, we can use the formula:
Haul time = Distance / Speed
The distance in this case is 100 feet, and the maximum speed of the loader in first gear is given in Table 9.8 as 4.0 mph. Converting feet to miles and using the formula, we get:
Haul time = 100 / (4.0 ˣ 5280/60) = 0.0227 min (1.36 seconds)
To calculate the return time, we can assume that it is equal to the haul time, since the loader is traveling at its maximum speed in both directions.
Therefore, the return time is also 0.0227 min (1.36 seconds).
Adding all of the times together, we get:
Cycle time = 0.10 + 0.0227 + 0.05 + 0.0227 = 0.1954 min (11.7 seconds)
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the following questions need to answered please and thank you
Answers
Answer:
Can't see, clearly photo then you can get your answer quickly
Explanation:
which tool most likely made these striations? close-up of striation marks on groove question 2 options:pliersbolt cutterscrewdriver
Answers
When cutting through a material, the blades of the bolt cutters may cause the surface to deform or indent, creating a groove with distinct striation marks. Therefore, it is most likely that the striation marks on the groove were made by a bolt cutter.
To answer your question about which tool most likely made the striation marks on the groove.
Firstly, it is important to understand that striations are marks or scratches left on a surface by a tool or object. In this case, the striation marks are on a groove, which suggests that the tool was used to cut or shape the groove. Out of the three options you provided, pliers, bolt cutters, and screwdrivers, it is unlikely that pliers or screwdrivers would leave such pronounced striation marks on a groove. Pliers are typically used to grip or hold objects, and may leave some marks on the surface, but not deep or prominent enough to create striations. Similarly, screwdrivers are used to turn screws, and may scratch the surface of a groove, but would not create such deep or uniform striation marks. On the other hand, bolt cutters are designed to cut through bolts, wires, and other materials. They have a sharp, powerful cutting blade that can easily create striation marks on a surface. When cutting through a material, the blades of the bolt cutters may cause the surface to deform or indent, creating a groove with distinct striation marks. Therefore, it is most likely that the striation marks on the groove were made by a bolt cutter.
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Sarah and Raj take/takes me to a baseball game every year.
Either the Cubs or the Orioles play/plays the Yankees tonight.
There is/are nine players on a baseball team.
The home team sit/sits in the dugout on the third-base side of the field.
One of the players called the catcher crouch/crouches behind home plate
I learned how to play soccer from my sister.
Last year, I bought myself season tickets to the local team’s matches.
Only the goalie can use their hands to catch the ball.
The players must quickly move the ball down the field.
This year, my sister gave me my favorite player’s jersey for Christmas.
Answers
Answer:
take
play
are
sits
crouches
direct
indirect
direct
direct
indirect
Explanation:
i had just taken the test