**Please Help, ASAP**
Rearrange the formula so the letter in parenthesis is the subject. Show your work as well.
1) x+xy = y, (x)
2) x+y = xy, (x)
3) x = y+xy, (x)
4) E = (1/2)mv^2-(1/2)mu^2, (u)
5) (x^2/a^2)-(y^2/b^2) = 1, (y)
6) ay^2 = x^3, (y)

Answers

Answer 1

Explanation:

We need to rearrange the following formula for the values given in parenthesis.

(1) x+xy = y, (x)

taking x common in LHS,

x(1+y)=y

[tex]x=\dfrac{y}{1+y}[/tex]

(2) x+y = xy, (x)

Subrtacting both sides by xy.

x+y-xy = xy-xy

x+y-xy = 0

x-xy=-y

x(1-y)=-y

[tex]x=\dfrac{-y}{1-y}[/tex]

(3) x = y+xy, (x)

Subrating both sides by xy

x-xy = y+xy-xy

x(1-y)=y

[tex]x=\dfrac{y}{1-y}[/tex]

(4) E = (1/2)mv^2-(1/2)mu^2, (u)

Subtracting both sides by (1/2)mv^2

E-(1/2)mv^2 = (1/2)mv^2-(1/2)mu^2-(1/2)mv^2

E-(1/2)mv^2 =-(1/2)mu^2

So,

[tex]2(E-\dfrac{1}{2}mv^2)=-mu^2\\\\u^2=\dfrac{-2}{m}(E-\dfrac{1}{2}mv^2)\\\\u=\sqrt{\dfrac{-2}{m}(E-\dfrac{1}{2}mv^2)}\\\\u=\sqrt{\dfrac{2}{m}(\dfrac{1}{2}mv^2-E)}[/tex]

(5) (x^2/a^2)-(y^2/b^2) = 1, (y)

[tex]\dfrac{x^2}{a^2}-1=\dfrac{y^2}{b^2}\\\\y^2=b^2(\dfrac{x^2}{a^2}-1)\\\\y=b\sqrt{\dfrac{x^2}{a^2}-1}[/tex]

(6) ay^2 = x^3, (y)

[tex]y^2=\dfrac{x^3}{a}\\\\y=\sqrt{\dfrac{x^3}{a}}[/tex]

Hence, this is the required solution.


Related Questions

engineering controls are the physical changes that employers make to the word varmint what do equipment that make it safer to use


A: true

B: false

Answers

A) true, engineering controls are the physical changes that employers make to the word varmint what do equipment that make it safer to use.

Technician A says that a floor crossmember may be located underneath the floor pan. Technician B says that a floor crossmember may be made of HSS. Who is right

Answers

Answer:

Tech B

Explanation:

an educated guess

Danny enjoys studying transportation networks and systems. Which field of engineering should he pursue?

Answers

Answer:

Civil Engineering.

Explanation:

Civil Engineering is a field of engineering study that deals with professional practising in designing and developing infrastructures such as transport system and networks, buildings, etc.

Civil engineering is regarded as the second--oldest form of engineering studies in the field of engineering.

A person who studies civil engineering is able to design and develop major projects in transportations system such as road construction, bridges, airports, tunnels, etc.

So, Danny, who is interested in studying transporation networks and system should opt for studying civil engineering.

Technician A says that squeeze-type resistance spot welding (STRSW) may be used on open butt joints. Technician B says that replacement spot welds may be made adjacent to the original spot weld locations. Who is right

Answers

Answer:

B only

Explanation:

Squeeze-type resistance spot welding (STRSW)is a type of electric resistance welding that brings about the weld on interfacing sheet metal pieces through which heat generated from electric resistance bring about fusion and welding of the two pieces together

Therefore, it is not meant for opening but joints but it can be used for making replacement spot welds adjacent to the original spot weld due to the smaller heat affected zone (HAZ) created by the STRSW process.

Technician A says that cut locations for sectioning joints may be identified by a die mark stamped into the part. Technician B says that a vehicle maker recommended sectioning cut location may be identified as a precise measurement from a reference point. Who is right

Answers

Answer:

Both A ad B are right

Explanation:

A sectioning joint are joints that are pieces to butted, spaced two to three metal thickness apart

Cut locations on a metal parts are made by die marks stamped to the part to enable the cutter to locate the cut location

The cut location can be specified on a model diagram such that when such a required cut is to be made a reference point to the cut location is specified for quality and accuracy.

When external appearances have little overall significance, they are termed When external appearances have little overall significance, they are termed what?

Answers

Answer:

They are termed Genotypes.

NEED HELP ASAP DRIVERS EDUCATION
Now that you have learned about the different factors that affect acceleration and braking,
give some examples where it is unsafe to travel at the speed limit.​

Answers

Answer:  When someone in front of you has stopped , when the ambulance is behind you , when a police pulls you over.

Explanation:

You have learned about the different factors that affect acceleration and braking. The driving is unsafe around the ambulance and police car when travel at the speed limit.

What is acceleration?

Acceleration is defined as the rate change of velocity with time.

acceleration a = (Δv) / (Δt)

When an individual is driving, he must drive in a speed limit mentioned according to the driving law. When you are driving in safe limit, you are still unsafe around some vehicles.

They are police cars, ambulance, JCBs or Earthmovers.

Thus, it may be unsafe to drive at speed limit.

Learn more about acceleration.

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Constant awareness is required under what circumstances?

Answers

Answer:

Constant awareness is required on all boats at all hours to avoid collisions and accidents.

Explanation:

Constant awareness is required under various circumstances, including Safety and Emergency Situations, Security and Risk Management, Critical Tasks and High-Stakes Situations, Dynamic, and Changing Environments.

1) Safety and Emergency Situations: In potentially dangerous environments or during emergencies, constant awareness is crucial.

2) Security and Risk Management: Constant awareness is necessary in security-sensitive areas or situations.

3) Critical Tasks and High-Stakes Situations: Certain tasks or situations require constant awareness to ensure accuracy, precision, and successful outcomes.

4) Dynamic and Changing Environments: In rapidly changing or dynamic environments, constant awareness helps individuals adapt and respond effectively to new information or circumstances.

Overall, constant awareness is essential whenever there is a need to monitor, evaluate, and respond to the ongoing conditions, risks, or demands of a particular situation.

To know more about the awareness:

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What is this thing on my boat?

Answers

It may be an engine cooler, or it may be for the boats speed

But I think it is for cooling the engine down

What is the function of engineering

Answers

Answer:

The interpretation including its given question has always been discussed in the following sections on the elaboration.

Explanation:

In engineering, a function or a feature has always been perceived as a particular process, active engagement, or workload a system must perform.

Generally differentiated consequently throughout the life span of infrastructure projects: Specifications as well as Functional technical specifications. Typically the Specifications define the most critical device attributes demanded.

Carbon dioxide enters an adiabatic compressor at 100 kPa and 300 K at a rate of 1.8 kg/s and exits at 600 kPa and 450 K. Neglecting the kinetic energy changes, Determine: (a) The isentropic efficiency of the compressor.

Answers

Answer:

isentropic efficiency of the compressor (nc)=

89.4%

Explanation:

answer attached

Your class has designed a self-cleaning reptile tank. What kind of patent would you apply for? A. a plant patent B. a design patent c. a combination patent d. a utility patent

Answers

Answer:

D.

Explanation:

A utility patent is a type of patent that is used to confer the copyright of new inventions. Utility patent is the most common of all types of patents. It is also known as 'patent for invention.' This patent right enables the inventors to commercialize the right of producing the invention under their own names. This patent also disables others to manufacture or sell the invention with their own names.

In the given case, the class has invented a 'self-cleaning reptile tank' which should be copyrighted under the 'utility patent' as it is a new invention.

Thus option D is correct.

Answer:

D.

Explanation:

got a 100 on quiz

Education is an ongoing process in every field.
a. True
b. False

Answers

Answer:

True

Explanation:

Education is the discipline that has to do with the process of enabling learning, (teaching) and knowledge acquisition (learning) of values, habits, skills and values within an academic environment. Some of the techniques of educating people are through narration of stories, formal training, discussion, and instructional guidance

Learning, which is an aspect of education is a continuous process throughout life as it is what we learn we become and therefore, our aspirations depends on our education.

A wind turbine rotates at 20 rev/min. If its power output is 2.0 MW, the torque produced on the turbine from the wind is

Answers

Answer:

The torque torque produced on the turbine from the wind is approximately 955 kN·m

Explanation:

The number of revolution per minute of the turbine = 20 rev/min

The power output of the turbine = 2.0 MW

The power transmitted to a shaft equation is given as follows;

[tex]Power , \ P = \dfrac{2 \cdot \pi \cdot N \cdot T}{60}[/tex]

Where;

P = The power transmitted to a turbine shaft = 2.0 MW

N = The number or revolutions per minute = 20 rev/min

T = The torque produced on the turbine by the wind

Therefore;

[tex]Torque , \ T = \dfrac{P \cdot 60}{2 \cdot \pi \cdot N } = \dfrac{2.0 \times 60}{2 \times \pi \times 20} = \dfrac{3}{\pi } \ MN \cdot m[/tex]

The torque torque produced on the turbine from the wind = 3/π MN·m ≈ 0.955 MN·m = 955 kN·m.

Since the space shuttle's last launch, how have current rocket launches been funded?
Commercially
Openly
Privately
Publicly

Help Please Help Like Fast This is a Quiz Question

Answers

We recently had SpaceX launch into space, they returned recently. This is Elon’s Musks private company

Answer:

Privately

Explanation:

Privately funded space travel is becoming the new endeavor due to the Space Shuttle's last launch in July 2011. The privately funded rocket is the future of rocketry.

Drilling is an example of what type of manufacturing process?
Casting
O Forging
Joining and assembly
O Machining

Answers

Answer:

  Machining

Explanation:

Drilling is a machining operation. It involves using a cutting tool to alter the shape.

The problem faced by Galloping Gertie, the failed bridge across the Tacoma Narrows, was caused because the engineers did not follow the perform tests on the prototype/testing/ step in the engineering design process.

Answers

Answer:

1) Perform

2) Prototype

Explanation:

The prototype testing phase of the design process to test the readiness of the design for the intended use

The prototype which is a first or early model of the project made so as to ensure proper functioning of the concept is to pass through general function test as well as design performance evaluation in a testing or lab setting

Other tests include, excessive stress test, testing to failure and other design tests.

Therefore;

The problem faced by Galloping Gertie the failed bridge across the Tacoma Narrows, was caused because the engineers did not perform tests on the prototype in the engineering design process.

Technician A says that weld-through primer can be removed from the immediate weld area to improve weld quality. Technician B says that weld-through primer can be removed from adjacent areas to the weld site to improve penetration. Who is right

Answers

Answer:

83737373777473737373738388383838

For metallurgical reasons, it is desirable to melt the weld metal with minimum energy input. Which one of the following heat sources is most consistent with this objective: (a) high power, (b) high power density, (c) low power, or (d) low power density?

Answers

Answer:

The correct option is;

(a) High power density

Explanation:

The power density of a material is the amount of power per unit volume of the material. Power density, in the context of transformers, fuel cells, batteries, motors, and power supply units, is measured with respect to the volume, and the units is given as W/m³

A system such as a capacitor with an high power density has the capacity to put out large energy amount from a small volume. A capacitor with a high power density, can produce the same power output as a car battery and is said to have a high power density.

where do the names of counterweight items originally come from

Answers

Answer:

an equivalent weight or force : counterbalance.

Explanation:

First of all an counterweight is a weight that by exerting an opposite force it provides balance and stability it comes from Austria

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