A hollow circular cold-rolled bronze [G] = 6,500 ksi) tube (1) with an outside diameter of 1.75 in. and an inside diameter of 1.25 in. is securely bonded to a solid 1.25-in.-diameter cold-rolled stainless steel [G2 = 12,500 ksi] core (2) as shown in Figure E6.9-1. The allowable shear stress of tube (1) is 27 ksi, and the allowable shear stress of core (2) is 60 ksi. Determine: (a) the allowable torque T that can be applied to the tube-and-core assembly. (b) the corresponding torques produced in tube (1) and core (2). (c) the angle of twist produced in a 10-in. length of the assembly by the allowable torque T.

Answers

Answer 1

(a) The allowed torque is T = 5,990 in.-lb, (b) torques produced in tube(1) T1 = 3,311 in.-lb, T2 = 2,679 in.-lb, (c) the angle of twist produced in a 10-in. length of the assembly by the allowed torque is θ = 0.063 rad.

To solve this problem, we need to use the torsion formula for a hollow circular shaft.

First, we need to calculate the polar moment of inertia of the combined assembly using the equations for the area moment of inertia of a hollow and solid circular shaft.

Then, we can calculate the allowable torque T using the allowable shear stresses for each material.

The corresponding torques produced in the tube and core can be calculated using the equations for torque distribution in a composite shaft.

Finally, we can use the torsion equation to find the angle of twist produced by the allowable torque T in a 10-inch length of the assembly.

It is important to note that the angle of twist is directly proportional to the length of the shaft, so the 10-inch length is used as a reference point.

For more such questions on Torque:

https://brainly.com/question/31783328

#SPJ11


Related Questions

based on the graph shown, for any given output level, the veritcal distance between the avc and the atc curves represents

Answers

A a result of the graph shown, for any given output level, the veritcal distance between the avc and the atc curves represents total fixed cost (TFC).

What is Vertical distance?

This is known as vertical separation and it is said to be the distance that exist between two vertical positions.

Note that vertical coordinates are seen for expressing vertical position: depth, and others and as such,

See full question below

The vertical distance between the ATC and AVC curve represents

a) marginal cost (MC)

b) average fixed cost (AFC)

c) total fixed cost (TFC)

d) total cost (TC) - total variable cost (TVC)

Learn more about from

https://brainly.com/question/210650

#SPJ1

An important difference between expressways and freeways is that expressways feature intersections, whereas freeways use: a) interchanges b) medians c) rumble strips d) green guide signs

Answers

An important difference between expressways and freeways is that expressways feature intersections, whereas freeways use a) interchanges.

When passing another car, make sure you maintain at least a _______ safety cushion

Answers

The answer is 4 because I just took the test!

Through Engineering, human achievement continues to advance. Write about your favorite example of engineering in action and what impresses you about it from an Engineering standpoint.

Answers

Hydroelectric power plants are outstanding engineering devices that allow people to obtain energy from renewable sources.

What is a hydroelectric power plant?

A hydroelectric power plant is a center for the production of electricity based on hydropower energy systems.

Hydroelectric power plants exploit the energy of water masses (e.g., a stream) to produce clean energy for million of people around the world.

These plants have generators capable of converting mechanical energy  into electricity by using simple turbines.

In conclusion, hydroelectric power plants are outstanding engineering devices that allow people to obtain energy from renewable sources.

Learn more about Hydroelectric power plants here:

https://brainly.com/question/8934285

#SPJ1

a. Calculate the equivalent resistance of the circuit

Answers

Answer:

no any think photo.

Explanation:

If a dielectric material, such as teflon®, is placed between the plates of a parallel-plate capacitor without altering the structure of the capacitor, how is the capacitance affected?.

Answers

The capacitance is affected is that the capacitance increases because of the insertion of Teflon.

What is capacitance?

A `is known to be a form of a device that is said to be used to save some amount of charges in any electrical circuit.

Note that the capacitor functions on the principle that the capacitance of a conductor is said to increases if an earthed conductor is  taken close to it.

Hence, The capacitance is affected is that the capacitance increases because of the insertion of Teflon.

See full question below

A dielectric material, such as Teflon®, is placed between the plates of a parallel-plate capacitor without altering the structure of the capacitor. The charge on the capacitor is held fixed. How is the electric field between the plates of the capacitor affected?

The electric field is not altered, because the structure remains unchanged.

The electric field becomes zero after the insertion of the Teflon®.

The electric field decreases because of the insertion of the Teflon®.

The electric field becomes infinite because of the insertion of the Teflon®.

The electric field increases because of the insertion of the Teflon®.

Learn more about  electric field  from

https://brainly.com/question/14781269

#SPJ1

In 2001, a land-development company launched an engineering project on land adjacent to a protected wetlands area

Answers

The statement that summarizes the data is that the population data should be collected over a much lingers period of time in order to draw a valid conclusion.

What is data?

It should be noted that data simply means the facts or statistics that are put together to get more information about a particular issue.

It should be noted that a project simony refers to an individual or collaborative enterprise which is planned in order to achieve a particular aim. In this case, the land-development company launched an engineering project on land adjacent to a protected wetlands area.

It should be noted that the time frame that the data was collected matters a lot in order to get a valid conclusion.

In this case, the statement that summarizes the data is that the population data should be collected over a much lingers period of time in order to draw a valid conclusion.

Learn more about data on:

brainly.com/question/4219149

#SPJ1

The options to the question:

a. The data Gail to represent a broad diversity of species and so do not provide enough information to adequately draw a conclusion.

b. Population data were not sampled frequently enough to draw a valid conclusion.

c. The data show stable population trends in native species providing evidence that the engineering project has no negative impact on the ecosystem.

d. The population data should be collected over a much lingers period of time in order to draw a valid conclusion.

The advantage of using a reference line to position a building is that

Answers

Answer:

The reference line helps you achieve the precise connection of Walls for clean intersections.

Explanation:

Reference Lines allow you to place lines on the plot at specific locations to mark important values. You could use these to mark control limits or to indicate a trend line for a set of data.

To put out a class D metal fire, you must _______ the fire.

Answers

To put out a class D metal fire, you must smother the fire and eliminate the oxygen element in the fire.

What is a Class D fire?

A class D fire is a type of fire that cannot be extinguished by water. This is because adding water to it reacts with other elements in the fire intensifying the fire even more.

Smothering in this context involves adding a solution like carbon dioxide (CO2) into the fire, this results in a reduction of oxygen in the atmosphere surrounding the class D fire.

By so doing, smothering the fire eliminates the oxygen element in the fire, thereby extinguishing the fire.

You can learn more about extinguishing fires here https://brainly.in/question/760550

#SPJ1

Assignment: Explain any three
ways that research can facilitate
the work of building technicians.

Answers

The three ways that research can facilitate the work of building technicians is that:

They will know the timeframe to start and complete the buildingThey will know the type and right materials to use.It will help them in the area of budgeting of equipment, tools and building materials needed.

What do building technicians do?

Building technicians are known to be people who help with some tasks around construction projects and building works.

Note that building technician overseeing a scope of tasks such as monitoring build progress and as such The three ways that research can facilitate the work of building technicians is that:

They will know the timeframe to start and complete the buildingThey will know the type and right materials to use.It will help them in the area of budgeting of equipment, tools and building materials needed.

Learn more about technicians from

https://brainly.com/question/1548867

#SPJ1

The only difference between all GMA welding machines and some FCA welding machines is that all GMA welding machines must have a ______________.

Answers

Answer: Shielding gas solenoid

Explanation:

An inverter has a balanced 3-phase, 277/480 V output and is installed a distance, d, ft from the point of utility connection. The DC/AC converter shown below in the inverter. And the distance d is the physical separation between this DC/AC converter and the PCC. (

Answers

An expression for the voltage drop between inverter and PUC

[tex]V D \rightarrow \frac{I(\Omega / k f t) d}{2770}$[/tex]

This is further explained below.

What is an expression for the voltage drop between the inverter and PUC?

Generally, the equation for Voltage drop is  mathematically given as

[tex]V=\frac{I R}{V}[/tex]

Therefore

[tex]\%$ Voltage drop $=\frac{I R}{V} * 100\\\\$\rightarrow \frac{100 I(\Omega / 15 f t) d}{1000 V_{p}}\\\\$V_{P}=277 \mathrm{~V}$[/tex]

[tex]V D=\frac{I(\Omega / \mathrm{kft}) d}{10 * 2770} \rightarrow \frac{I(\Omega / \mathrm{kft}) d}{2770} \mathrm{~V}\\\\$\% V D \rightarrow \frac{I(\Omega / k f t) d}{2770}$[/tex]

In conclusion, the expression for the voltage drop between inverter and PUC

[tex]V D \rightarrow \frac{I(\Omega / k f t) d}{2770}$[/tex]

CQ

An inverter has a balanced 3-phase, 277/480 V output and is installed a distance, d, ft from the point of utility connection. The DC/AC converter is shown below in the inverter. And the distance d is the physical separation between this DC/AC converter and the PCC.

Derive an expression for the voltage drop between inverter and PUC in terms of d using the basic equation %VD =100IR/V.

Read more about voltage drop

https://brainly.com/question/13094809

#SPJ1

Structural Safety Assessment and Traffic Control Strategies of Widened Highway Bridges under Maintenance Works Requiring Partial Lane Closure

Answers

Structural Safety Assessment and Traffic Control Strategies of Widened Highway Bridges under Maintenance Works Requiring Partial Lane Closure journal is based on the  way and techniques that can be used in maintaining  the Safety on the road as well as the Assessment of Traffic Control.

What are the techniques in controlling the traffic?

There are Devices that are typically used in the traffic control, and this can  include speed bumps as well as the barricades to block streets.

Others techniques are:

turn prohibitions stop signs raised pavement markers.

Traffic restraint can also entails the includes programs  that can foster bicycle as well as the pedestrian travel.

The rapid structural safety assessment help in inspecting and evaluating the concrete structure as well in determining  the damaged structure if it is  unsafe for personnel within the building .

Learn more about Traffic Control at:

https://brainly.com/question/26052026

#SPJ1

what is the basic concept of the finite element method.​

Answers

Answer:

The FEM is a general numerical method for solving partial differential equations in two or three space variables (i.e., some boundary value problems). To solve a problem, the FEM subdivides a large system into smaller, simpler parts that are called finite elements.

The lights on your vehicle must be turned on at any time, day or night, when persons and vehicles cannot be clearly seen for ___ feet.

Answers

Answer:

500 feet

Explanation:

In order to stop or turn your vehicle around on the highway you must have 500 feet of clear road in both directions. 4. Headlights are required at any time you cannot see persons or vehicles for 500 feet, due to snow, dust, fog, etc. and from ½ after sunset to ½ before sunrise.Hope this helps

The lights on your vehicle must be turned on at any time, day or night, when persons and vehicles cannot be clearly seen for 1000 feet.

What are vehicles?

A vehicle is a piece of equipment, typically with wheels and an engine, used for land-based transportation of people or goods. Cars, buses, and trucks are examples of road vehicles. Farm vehicles include tractors.

Vehicle type refers to a group of power-driven vehicles that share all crucial aspects of their engines, cars, and OBD systems.

When a vehicle is 500 feet away, the driver must dim his headlights.

Avoid looking directly into the light when a car is coming at you; instead, slow down. At least 30 minutes before dusk, headlights must be activated. It is also important to keep in mind that a lower headlight beam improves the driver's ability to see in fog.

Thus, it should be 1000 feet distance.

For more details regarding vehicles, visit:

https://brainly.com/question/29491014

#SPJ2

If your crew is the first to arrive on the scene of a major mci, what will be a major aspect of your scene size-up?

Answers

If your crew is the first to arrive on the scene of a major MCL, The major aspect of your scene size-up will be to Make a sweep to determine what needs must be met. Option D. This is further explained below.

What is the scene of an MCL?

Generally, If your team is the first to arrive at the scene of a significant MCL, the most important part of your scene size-up will be to do a sweep to identify the requirements that need to be satisfied. Choose option D.

In conclusion, A medial collateral ligament (MCL) injury occurs when the ligament on the inside of the knee is stretched, partially torn, or completely ruptured. Most knee injuries are caused by an excessive amount of valgus stress on the knee, which is one of the most prevalent.

Read more about the scene of an MCL

https://brainly.com/question/13184254

#SPJ1

CQ

If your crew is the first to arrive on the scene of a major​ MCI, what will be a major aspect of your scene​ size-up?

A.

Make an initial scene report to the communications center.

B.

Control​ on-scene communication as help arrives.

C.

Prevent uncoordinated or undirected activity at the scene.

D.

Make a sweep to determine what needs must be met.

Metal wireways are sheet metal troughs with _____________ for housing and protecting electrical conductors and cable.

Answers

Answer:

Metal wireways are sheet metal "U"s with removable housing for protecting electrical equipment, wires, and cables.

Explanation:

These are especially used to run wire in manufacturing environments.

Modern aircraft are designed in a way that, when all seats are occupied, the baggage compartment is full, and all fuel tanks are full, the aircraft is:

Answers

Modern aircraft are designed in a way that, when all seats are occupied and baggage is full, and all fuel tanks are full, the aircraft is overloaded.

What is aircraft storage?

Aircraft storage refers to all storage systems in an aircraft for human transportation and also to transport products among countries.

The aircraft storage system is well calculated to work is a maximum capacity in commercial fly lines.

In conclusion, modern aircraft are designed in a way that, when all seats are occupied and baggage is full, and all fuel tanks are full, the aircraft is overloaded.

Learn more about storage systems here:

https://brainly.com/question/9585033

#SPJ1

Determine the carburizing time necessary to achieve a carbon concentration of 0.30 wt.% at a position of 4 mm into an iron-carbon alloy that initially contains 0.10 wt.% C. The surface concentration is to be maintained at 0.90 wt.% C, and the treatment is to be conducted at C. Use the diffusion data for -Fe in Table 5.2

Answers

The carburizing time necessary to achieve a carbon concentration is 31.35 hours

How to find the Carburizing Time?

To determine the carburizing time necessary to achieve the given carbon concentration, we will use the equation:

(Cs - Cx)/(Cs - C0) = ERF(x/2√Dt)

where;

Cs is Concentration of carbon at surface = 0.90

Cx is Concentration of carbon at distance x = 0.30

Distance x = 4 mm = 0.004 m

C0 is Initial concentration of carbon = 0.10

ERF() = Error function at the given value

D = Diffusion of Carbon into steel

t = Time necessary to achieve given carbon concentration ,

Thus, plugging in the relevant values gives;

(Cs - Cx)/(Cs - C0) = (0.9 - 0.3)/(0.9 - 0.1)

= 0.6/0.8 = 0.75

now, ERF(z) = 0.75 and as such using ERF table, we can say that;

Z = 0.814. Thus;

(x/2√Dt) = 0.81

Using the table of diffusion data, we have;

At a temperature of  (1100°C) or 1373 K, we have;

D = 5.35 × 10⁻¹¹ m²/sec.

Calculating the carbonizing time by using the equation z = (x/2√Dt);

where;

t is carbonizing time

Thus;

0.814 = (0.004/(2 × √5.35 × 10⁻¹¹ × √t))

0.814 = 0.004 /(1.4628 × 10⁻⁵ × √t)

0.814 × 1.4628 × 10⁻⁵ × √t = 0.004

1.19072 × 10⁻⁵ × √t = 0.004  

√t = 0.004/(1.19072 × 10⁻⁵)

√t = 335.93

t = 112848.96 seconds

Converting to hours gives;

t = 112848.96/3600

t = 31.35 hours

Therefore, the carburizing time necessary to achieve a carbon concentration is 31.35 hours

Read more about Carburizing Time at; https://brainly.com/question/13031810

#SPJ1

Which load balancing method is supported in equal cost multipath (ECMP) load balancing when SD-WAN is enabled

Answers

Volume load balancing method is supported in equal cost multipath (ECMP) load balancing when SD-WAN is enabled.

What is load balancing method?

Load balancing means are regarded as a form of an algorithms or method that is used to rightly share an incoming server request or traffic in the midst or among servers that is from the server pool.

Note that Volume load balancing method is supported in equal cost multipath (ECMP) load balancing when SD-WAN is enabled as that is its role.

Learn more about Volume load balancing from

https://brainly.com/question/28021339

#SPJ1

A light weight vehicle traveling 50 mph can stop in approximately
a. 200 meters.
b. 5 blocks.
c. 200 feet.
d. 6 seconds.

Answers

A light weight vehicle traveling 50 mph can stop in approximately 200 feet.

How a car break works?

The break system of a car is composed by several items that are always working together to slow down and bring a vehicle to a complete stop. It also has the function of keeping the car stationary when it is parked. In general, this system has two manual activation modes: the lever and the pedal, with the exception of vehicles adapted for people with disabilities.

Most vehicles today use the disc brake system. Disc brakes work by using pads, which are held inside a hydraulic caliper, receiving pressure to brake. Such pads generate friction on a disc, which makes the vehicle stop permanently.

The drum brake is another type, being older and dependent on the famous linings to cause friction in the wheel and stop the vehicle. A hydraulic cylinder makes the plies move inside the drum, which is a hollow part fastened with screws and attached to the wheels. This type of brake is on the rear wheels, for the most common models.

See more about engineering at: brainly.com/question/19117846

#SPJ1

P=3000W
f1=0.9
f2=0.5
A=15mm2
travel speed=?

Answers

The Travel Speed at which the welding operation can be accomplished is given as 7.147mm/s. See the computation below.

What is travel speed?

The travel speed of the welding flame or gun across the workpiece is simply measured in millimeters per minute.

Travel speed, along with voltage and amperage, is one of three factors in arc welding that affect the amount of heat input.

What is the calculation that justifies the above answer is?

We are given the following:


Melting temperature = 1650 K

k = (3.33 * 10⁻⁶) * (1,650)²

k = 9.066 J/mm^3

The formula for velocity here is given as:

V = f1 * f2 * Rh / (k*A)

V = 0.9 * 0.6 * 3000 / (9.066*25)

V = 7.147 mm/s

Hence, the Travel Speed at which the welding operation can be accomplished is given as 7.147mm/s.

Learn more about welding operation at;
https://brainly.com/question/22494632
#SPJ1

How are new slip rings attached to the rotor core during alternator rebuilding?

Answers

The new slip rings is been  attached to the rotor core during alternator rebuilding by b. Soldered on.

What is the process of Soldering ?

Soldering  is the use of Solder which is a metal alloy  consisting tin and lead and is the way of joining  different types of metals together by melting solder.

This is been used on new slip rings to get it  attached to the rotor core during alternator rebuilding .

Learn more about Soldering on:

https://brainly.com/question/25759088

#SPJ1

CHECK THE COMPLETE QUESTION BELOW:

How are new slip rings attached to the rotor core during alternator rebuilding?

a. Machine clamped

b. Soldered on

c. Crimped on

d. epoxy glue

A handsfree device may be used if it can be activated or deactivate with a?

Answers

A handsfree device may be used if it can be activated or deactivate with a cellphone.

What is hands-free?

Handsfree is a device which when connected to a cell device can be used in listening to audio, video and messages.

A driver can also activate or deactivate with a swipe when connect to the vehicle audio device.

Therefore,

A handsfree device may be used if it can be activated or deactivate with a cellphone.

Learn more on handsfree below

https://brainly.com/question/12253610

#SPJ1

Technician A says that a voltage drop on the ground side of a bulb won’t affect its brightness because the electricity has already been used up. Technician B says that a voltage drop is one way to determine if there is unwanted resistance in a circuit. Who is correct?

Answers

Answer:

  Technician B

Explanation:

For a given circuit current, the voltage drop is an indication of the resistance in the circuit.

If the voltage drop on the ground side of a bulb is unexpectedly high, it means the circuit resistance is unexpectedly high. Technician B is correct.

If extension done in a stork position, during backward bending in a standing position of a special test for lumbar spine, produces pain in the lumbar or sacral regions of the spine, it may indicate _____.

Answers

The answer is 7 because I just took the test!

What is the mode of operation of a ramp digital voltimeter​

Answers

Answer:

The operating principle of a ramp type digital voltmeter is to measure the time that a linear ramp voltage takes to change from level of input voltage to zero voltage (or vice versa).

An isolation transformer whose main purpose is to reduce voltage spikes will have a turns ratio of?

Answers

Answer:

An isolation transformer whose main purpose is to reduce voltage spikes will have a turns ratio of 1 to 1.

This is due to the windings input and output having the same waveform and amplitude.

The displacement of a particle which moves along the s-axis is given by; = (−2 + 3)−0.5 Where s is in meters and t is in seconds. Determine the time at which the acceleration is zero.

Answers

The time at which the acceleration is zero is given as 4.66 seconds

How to solve for the time

First we have to solve for the velocity. To do this, we would have to take the derivative.

[tex]s = e^-0.5t (3 t - 2)[/tex]

Then velocity =

[tex]ds/dt = e^-0.5t (4 - 1.5 t)[/tex]

The acceleration can be gotten by finding the second derivative

[tex]a = dv/dt = e^-0.5t (.75 t - 3.5)[/tex]

To find t at acceleration = 0

We have

[tex]0 = e^-0.5t (.75t - 3.5)[/tex]

This gives t to be

t = 4.66 sec

Complete question

The displacement of a particle which moves along the s-axis isgiven by

s = (-2+3t)e^(-0.5t), where s is in meters and t is inseconds. Plot the displacement, velocity and acceleration versustime for the first 20 seconds of motion. Determine the time atwhich the acceleration is zero.

Read more on acceleration here:

https://brainly.com/question/605631

#SPJ1

Write a class having two private variables and one-member function which will return the area of the rectangle.

Answers

Using the knowledge in computational language in C++ it is possible to write the code being write a class having two private variables

Writting the code in C++:

#include <iostream>

using namespace std;

class Rectangle { /*create a class named Rectangle*/

  private:

  float l,b; /*this class has two private variables l and b*/

  public:

  float getArea(float l, float b) /*this class has one member-function getArea which returns the area of the rectangle*/

  {

   return l*b; /*return the area of the rectangle*/

  }

};

int main () { /*the main function to check the working of our Rectangle class*/

 float l,b;

 Rectangle r1; /*create an object r1 of Rectangle class*/

 cout<<"Enter the length of the rectangle: ";

 cin>>l; /*input the length of the rectangle from the user*/

 cout<<"Enter the breadth of the rectangle: ";

 cin>>b; /*input the breadth of the rectangle from the user*/

 cout <<"Area of the rectangle is: "<< r1.getArea(l,b)<<" square units."; /*find the area of the rectangle using the member function of the class*/

 return 0;

}

See more about C++ at brainly.com/question/19705654

#SPJ1

Other Questions
Given the Function below and the three point domain of {-2, 1, 3}, what is the matching three point range?F(x) = 2x + 4 58.4.8.1 Use words from the Check these words box to complete thesentences. You can use your dictionary.From the top of the mountain, there was a stunning view of the valley.2 A huge ..stops water from pouring down onto the city.3 The terrible .......washed away many houses.4 Everyone helped to ......the old building.5 There are lots of .......... trees in the forest. What is x. pls help me Alguien quiere ser mi amigo en kogama? A store has apples on sale for $21.00 for 6 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $168.00? Complete the explanation.The cost per pound of the apples on sale is $__.You can buy ___ pounds of apples for $168.00.Since 1 pound = 16 ounces, so there are about ___ apples in each pound.You can buy approximately ___ apples for $168.00. Filer Manufacturing has 9 million shares of common stock outstanding. The current share price is $88, and the book value per share is $7. The company also has two bond issues outstanding. The first bond issue has a face value $80 million, a coupon of 5 percent, and sells for 98 percent of par. The second issue has a face value of $55 million, a coupon of 6 percent, and sells for 106 percent of par. The first issue matures in 20 years, the second in 8 years. a. What are the company's capital structure weights on a book value basis? (Do not round intermediate calculations and round your answers to 4 decimal places, e.g., 32.1616.) Equity / Value Debt / Value b. What are the company's capital structure weights on a market value basis? (Do not round intermediate calculations and round your answers to 4 decimal places, e.g., 32.1616.) Equity / Value Debt / Value c. Which are more relevant? Market value weights or Book value weights HURRY!!!I need helppppp!!! How did Arkansans react to the election of Abraham Lincoln? A. They were divided over their loyalty to the Union. B. They were confident that they could renew a series of compromises. C. They believed that they would be left to pursue their own ways of life. D. They believed that secession was unavoidable. C. Find the value of x below:15.r + 5-2 + 16. A number cube is rolled 24 times and lands on 2 four times and on 6 three times.Find the experimental probability of landing on a 2.12 how does the necessary and proper clause affect the Constitution?A. It slows down the lawmaking process. B. It gives Congress additional lawmaking power. C. It sets strict limits on Congresss enumerated powers. D. It allows Congress to ignore certain clauses. !! IMPORTANT !! WILL GIVE BRAINLIEST !!Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboard from which she cuts out 10-in squares from each corner. The length of the original piece of cardboard is 20 inches more than the width. If the volume of the box is 1250 in^3, determine the dimensions of the original piece of cardboard. (figure of the problem is shown in attached picture) The dimensions of the original piece of cardboard are _ inches by _ inches.!! PLEASE HELP !! THANKS !! A family business had bred dogs for over 250 years. During this time, 125 generations of dogs were bred for a single trait: protective instincts. Immediately afterbirth, the puppies are sorted based on whether or not they have a white patch of fur on their chests. Those without this trait, are no longer bred for theirbusiness and instead are adopted to pet stores and not private sales for people requesting the desired trait of protective instincts.How could the breeders know these other dogs will not have the traits they are looking for when they are just new-born puppies? An algebraic expression is given. Use the expression to answer the following questions,a) How many terms are there in the algebraic expression?b) What is the numerical coefficient of the first term?c) What is the constant term?d) Does the algebraic expression contain like terms? If so, what are the like terms?X+ 3+ 7xThe What unique things words separate you from other applicants Applying for this funding? 7. To what Super group does the ameba belong? ? mark as brainliest first to be correct PLZ HELP! If someone can do my history test for me and get me an A Ill cashapp you 25$ 6. Elements in column (group) 18 (8A) are called the________ and the outermost electrons are found inthe p sublevel. Color these elements a different color and reference this group on the legend. During the Civil War the north begin to dominate the south after the battle at I need help with this question