A vector quantity is one that has both a magnitude and a direction. For instance, a velocity vector will have a magnitude (24 m/s) and a direction (northeast or 45 degrees). These simulations will demonstrate how vectors can be summed to produce a resulting vector, and how the acceleration vector affects the velocity vector. Part I: 2D Motion Simulation: Open the simulation Motion in 2D 1. Click Stop. Drag the object around with your mouse and notice the actions of the two vectors. Spend some time investigating the vectors. Which vector is velocity and which is acceleration (blue or green)? 2. Click on Linear Acc 1. Observe the motion. a. What orientation must the vectors be for the object to speed up? Draw and label this. b. What orientation must the vectors be for the object to slow down? Draw and label this. 3. Click Simple Harmonic (this is simple motion of a mass on a spring). Observe the motion. 4. Click Circular. Observe the motion. What orientation must the vectors (relative to each other) have to turn the object? Draw and label this. 5. Click Stop. Attempt to move the object like a planet in orbit (an ellipse, like an oval). What must the object do in order to turn?

Answers

Answer 1

1. The vector for velocity is represented by the blue arrow, and the vector for acceleration is represented by the green arrow in the simulation.

2. a. For the object to speed up, the orientation of the vectors should be in the same direction.

b. For the object to slow down, the orientation of the vectors should be in opposite directions.

3. In the Simple Harmonic motion, the object moves back and forth in a linear path.

4. In the Circular motion, the orientation of the vectors (relative to each other) determines the turning of the object: The blue (velocity) vector should be tangent to the circular path, indicating the direction of the object's motion.

5. When attempting to move the object like a planet in orbit (an ellipse), the object must follow an elliptical path.

1. The vector for velocity is represented by the blue arrow, and the vector for acceleration is represented by the green arrow in the simulation.

2. When observing the Linear Acc 1 motion, we can determine the orientation of the vectors for the object to speed up or slow down:

a. For the object to speed up, the orientation of the vectors should be in the same direction. This means that the blue (velocity) and green (acceleration) vectors should be pointing in the same direction.

b. For the object to slow down, the orientation of the vectors should be in opposite directions. This means that the blue (velocity) and green (acceleration) vectors should be pointing in opposite directions.

3. In the Simple Harmonic motion, the object moves back and forth in a linear path. The orientation of the vectors does not play a significant role in this motion.

4. In the Circular motion, the orientation of the vectors (relative to each other) determines the turning of the object:

The blue (velocity) vector should be tangent to the circular path, indicating the direction of the object's motion. The green (acceleration) vector should be pointing towards the center of the circle, providing the centripetal acceleration necessary to maintain circular motion.

5. When attempting to move the object like a planet in orbit (an ellipse), the object must follow an elliptical path. This requires the object to continuously change its velocity vector and direction. The object must constantly accelerate towards the center of the ellipse to maintain the curved path.

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Related Questions

The Bugatti Chiron is currently the fastest production car in the world reaching a top speed of 261 mph

Answers

Can anyone help me please ..I need it hurry within 6 hrs.please.
Brainliest for the first best answer.​

Can anyone help me please ..I need it hurry within 6 hrs.please.Brainliest for the first best answer.

Answers

(i) Switch k1 is closed:

The current passing through the circuit is:  0.25 amps

R_total = R1 + R2 = 3 + 5 = 8 ohms

The current passing through the circuit is:

i = V / R_total = 2 / 8 = 0.25 amps

(ii) Switches k1 and k2 are closed:

The current passing through the circuit is: 1.07 amps

1/R_total = 1/R1 + 1/(R2 + R3) = 1/3 + 1/(5 + 0) = 8/15

R_total = 15/8 ohms

The current passing through the circuit is:

i = V / R_total = 2 / (15/8) = 1.07 amps

(iii) Switch k1 is open and k2 is closed:

The current passing through the circuit is: 1.07 amps

1/R_total = 1/R2 + 1/(R1 + R3) = 1/5 + 1/(3 + 0) = 1/5 + 1/3 = 8/15

R_total = 15/8 ohms

The current passing through the circuit is:

i = V / R_total = 2 / (15/8) = 1.07 amps

So the current passing through the circuit depends on which switches are closed, and can range from 0.25 amps to 1.07 amps.

What is current?

Crrent refers to the flow of electric charge through a conductor, such as a wire. It is measured in amperes (A) and is defined as the rate at which electric charge flows past a given point in a circuit. current is caused by the movement of charged particles, such as electrons or ions, through a conductor.

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The Cascades and Andes mountains are excellent examples: where two ocean plates converge and one plate subducts where two continental plates converge where two ocean plates diverge where an ocean plate subducts beneath a continental plate

Answers

Cascades and Andes mountains are examples of where one ocean plate subducts beneath another plate. This is known as a convergent boundary where two plates move towards each other.

Phenomenon is that oceanic plates are denser than continental plates, so when they meet, the oceanic plate is forced down into the mantle and melts due to the high pressure and temperature. The melted material then rises to the surface and forms volcanoes, which is what has created the Cascades and Andes mountains.

The Cascades and Andes mountains are formed as a result of the process called subduction. In this process, a denser oceanic plate is forced under a lighter continental plate, creating a subduction zone. This leads to the formation of volcanic arcs and mountain ranges along the boundaries of the converging plates.
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Calculate the MOMENTUM of a football weighing 0.34kg being thrown at a speed of 64.6m/s.

Answers

Answer:

The value of the momentum is 5.8 kg meters per second.

Explanation:

Hope this helps :)

100g of ice at 0C is mixed with 100g of water at 100C. What will be the final temperature of the mixture?​

Answers

The final temperature will be about 50C.

at what distance does a 100-w lightbulb produce the same intensity of light as a 75-w lightbulb produces 10 m away? (assume both have the same efficiency for converting electrical energy in the circuit into emitted electromagnetic energy.)

Answers

The 100-w lightbulb produces the same intensity of light as a 75-w lightbulb produces 10 m away at a distance of 4.0 m.

What is lightbulb?

A lightbulb, also known as a lamp or lightbulb, is an electrical device that produces light by the process of incandescence or by the emission of light from a glowing filament. It is one of the most common sources of artificial light used in residential, commercial, and industrial settings.

Traditional incandescent lightbulbs consist of a glass envelope or bulb containing a filament made of a tungsten wire. When an electric current passes through the filament, it heats up and becomes so hot that it emits visible light. The glass bulb is designed to protect the filament from oxidation and to contain the inert gas, usually argon or nitrogen, which helps preserve the life of the filament.

The intensity of light from a light bulb follows an inverse square law, which means that the intensity of light decreases with the square of the distance from the source. So, we can use the formula:

I1/I2 = (d2/d1)²

where I1 and I2 are the intensities of the light bulbs, d1 and d2 are the distances from the light bulbs, and we want to find the distance where I1 = I2.

Let's call the distance we want to find x. We can set up two equations:

I1 = 100 W / x²

I2 = 75 W / 10²

Setting I1 = I2 and solving for x:

100/x² = 75/10²

x² = (100*10²)/75

x = 4.0 m

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transformative energy related to viewing jowo rinpoche is conveyed via

Answers

The transformative energy related to viewing Jowo Rinpoche is conveyed via meditation.

Jowo Rinpoche is considered the holiest Buddha image in Tibet and has spiritual significance. The image is believed to have been created during the lifetime of Buddha Shakyamuni and is considered to be an icon of the compassionate energy of the Buddha. The transformative energy is related to the fact that viewing Jowo Rinpoche image is believed to be a transformative experience that brings blessings, healing, and spiritual transformation to the observer. This is because, according to the Tibetan Buddhist tradition, the image of Jowo Rinpoche embodies the transformative energy of the Buddha, which can be accessed through meditation and contemplation. Thus, when one views the Jowo Rinpoche image with devotion and an open mind, they are believed to receive blessings, and their transformative journey towards enlightenment is enhanced.

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giving brainly if correct show work​

giving brainly if correct show work

Answers

Answer:

Umm Lucy will weigh to many pounds

Explanation:

I will give brainliest
Temperature Conversions pt1
Complete the folloeing temperature conversions.

Be sure to show your work, as you can recieve partial credit.

1. 23 °C=___°F -- This is the average January Temperature in Australia.

2. -11 °C = ___ °F -- This is the average temperature in Greenland

3. 29 °F=____°C-- This is the average arctic temperature in the summer.

Answers

23 °C is equal to 73.4°F, -11 °C is equal to 12.2°F, and  29 °F is equal to -1.667°C.

Convert the temperatures to Celsius, Fahrenheit, and Kelvin.

1. 23 °C=___°F:

We know that 1 Celsius is equal to 33.8 Fahrenheit, so by putting the values in the formula then we get the value of Fahrenheit.

(23°C × 9/5) + 32 = 73.4°F

2. -11 °C = ___ °F:

We know that 1 Celsius is equal to 33.8 Fahrenheit, so by putting the values in the formula then we get the value of Fahrenheit.

(-11°C × 9/5) + 32 = 12.2°F

3. 29 °F=____°C:

We know that 1 Fahrenheit is equal to -17.2222 Celsius, so by putting these values in the formula then we will get the value of Fahrenheit.

(29°F − 32) × 5/9 = -1.667°C

So we can conclude that 23 °C is equal to 73.4°F, -11 °C is equal to 12.2°F, and  29 °F is equal to -1.667°C.

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two​ drivers, alison and​ kevin, are participating in a race. beginning from a standing​ start, they each proceed with a constant acceleration. alison covers the last of the distance in ​seconds, whereas kevin covers the last of the distance in seconds. who wins and by how much​ time?

Answers

Alison and​ kevin, are participating in a race. Alison wins by 5.1 seconds

Who wins and by how much​ time?

Alison and​ kevin, are participating in a race. beginning from a standing​ start, they each proceed with a constant acceleration.

1/9 in 5 seconds, Alison

1/5 in 9 seconds for Kevin.

Race length equals x

"Alison": "x/9 in 5 sec."

Kevin: X in 5 seconds

Si = 0 served as their starting point.

At the beginning, they weren't moving: Vi = 0

S = at²/2

A1 = 2x/225, Alison: x/9 = a1.52/2

Kevin: 2x/405 is equal to x/5 = a2.92/2.

Thinking about the entire distance

x = a1.t2/2, x = 2x.t2/225.2, and so on, Alison t² = 225 → t = 15

Kevin: t = 20,1 and x = a2.t2/2 and x = 2x.t2/405.2

20,1 - 15 = 5,1 s

Alison wins by 5.1 seconds

The complete question is  Two​ drivers, Alison and​ Kevin, are participating in a race. Beginning from a standing​ start, they each proceed with a constant acceleration. Alison covers the last one ninth of the distance in 5 ​seconds, whereas Kevin covers the last one fifth of the distance in 9 seconds. Who wins and by how much​ time?

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if you add km/ hr with another km/ hr what will you get​

Answers

Answer:

km/hr

Explanation:

Addition and subtraction are commutative

Meaning you can add or subtract in any order because it doesn't change the sum or the difference. So it doesn't change the units.

Answer:

km/ hr + km/ hr =(km+ km)/hr=2km/hr

Explanation:

Question 17 of 25
Newton's third law deals most closely with:
O A. inertia.
.
O B. mass.
O C. action and reaction forces.
O D. acceleration.

Answers

Answer:

I think it is C

Explanation:

states that for every action (force) in nature there is an equal and opposite reaction. In other words, if object A exerts a force on object B, then object B also exerts an equal and opposite force on object A. Notice that the forces are exerted on different objects.

The area of a square is600m^calculate it new area if it temperature is raised by 15j area of expancity 2×d-2×1g×10^-3k-1=B

Answers

The new area of the square metal when its temperature is raised by 15K is approximately 600.36mm^2.

To solve this problem, we need to use the formula for thermal expansion:

ΔL = αLΔT

where ΔL is the change in length, α is the coefficient of linear thermal expansion, L is the original length, and ΔT is the change in temperature.

Since the metal is a square, we know that its area is A = L^2, where L is the length of one side of the square.

We can find the original length L using the formula:

A = L^2

600mm^2 = L^2

L = sqrt(600mm^2) ≈ 24.49mm

Now, we can use the formula for thermal expansion to find the change in length when the temperature is raised by 15K:

ΔL = αLΔT

ΔL = (1.9*10^-5 K^-1)(24.49mm)(15K)

ΔL ≈ 0.0074mm

The change in length is very small, so we can assume that the new length is approximately equal to the original length, and the new area is approximately equal to the original area:

New area = (L + ΔL)^2

New area ≈ L^2 + 2LΔL

New area ≈ 600mm^2 + 2(24.49mm)(0.0074mm)

New area ≈ 600.36mm^2

Therefore, the new area of the square metal when its temperature is raised by 15K is approximately 600.36mm^2.

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Full Question: The area of a square metal is 600mm square. calculate it's New area when it's temperature is raised by 15k ( linear expansivity of metal=1.9*10-5 k-1​

At what common temperature will a block of wood and a block of metal both feel neither hot nor cold to the touch? 1. when the temperature of the blocks is higher than the temperature of your hand 2. when the temperature of the blocks is the same as the temperature of your hand 3. when the temperature of the blocks is lower than the temperature of your hand 4. at room temperature 5. at the freezing point

Answers

When the temperature of the blocks is the same as the temperature of your hand.

When the temperature of the blocks is the same as the temperature of your hand, you feel neither hot nor cold to the touch. Hence, option ( 3) is correct.

What is temperature?

Temperature is a unit used to describe hotness or coldness. It can be stated in terms of any number of arbitrary scales and shows the direction in which heat energy will naturally flow, i.e., from a hotter body to a colder body (one at a lower temperature).

Temperature is not the same as the energy of a thermodynamic system; for instance, an iceberg has a significantly larger total heat energy than a match, despite the fact that a match is burning at a much higher temperature.

If you touch a block that is at higher than or  at lower than  the temperature of your hand, you feel hot or cold respectively. But,  when the temperature of the blocks is the same as the temperature of your hand, you feel neither hot nor cold to the touch.

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a rectangular block weighs 240N. The area of the block in contact with the floor is 20cm2 calculate the pressure on the floor

Answers

Answer:

The pressure on the floor is 12 Pascal(Pa).

Explanation:

Given,

Force (F) = 240N

Area (A) = 20 cm^2

Pressure (P) = ?

we know that,

P = F/A

= 240/ 20

= 12 Pa

A car travels 30 miles north on a straight road. The car then travels west for 40 miles on a straight road. The car then turns South and travels another 30 miles. The entire trip takes 2.22 hours. What is the velocity for this trip ?

Answers

The average velocity of the car for the entire trip is 0.018 km/h.

What is velocity of the trip?

The velocity of the trip is determined from the ratio of change of displacement to total time of motion.

The total displacement of the motion = ( 30 m North -  30 m South) + 40 m est = 40 m west = 0.04 km west

The total time of motion = 2.22 hours

The average velocity of the car for the entire trip is calculated as follows;

v = ( 0.04 km ) / ( 2.22 hrs )

v = 0.018 km/h

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Carbon has six protons. Which model shows a neutral atom of carbon? ​

Answers

Explanation:

Neutral carbon-12 (or any carbon atom) has 6 electrons with a total negative charge of 6e- orbiting a nucleus with a total positive charge of 6e+, so that the total net charge is zero. The nucleus is made up of 6 protons, each with a positive charge of e+, and 6 neutrons, each with zero charge.


A truck brakes from 15 m/s to 2 m/s in 15 seconds. What is its acceleration?

Answers

If we take v=u+at and our given values are:

v=final velocity 20m/s

u=initial velocity 15m/s

a=acceleration

t=time 5sec

we plug those into our equation:

20m/s=15m/s+a(5s)

now we just rearrange to solve for acceleration.

(5m/s)/(5s)=a

a=1m/s^2

hope this helps!
PLEASE MARK BRAINLEIST

A very long straight current-carrying wire produces a magnetic field of 20 mt at a distance d from the wire. to measure a field of 5 mt due to this wire, you would have to go to a distance of:_________

Answers

The distance covered is 4d.

What is the distance?Distance is a measure of how far apart two objects or locations are using numbers. The distance can refer to a physical length or an estimate based on other factors in both daily language and physics (e.g. "two counties over").The terms "distance from A to B" and "distance from B to A" are frequently used interchangeably.A distance function or metric is a technique to describe what it means for components of space to be "near to" or "far away" from each other in mathematics.It is a generalization of the idea of physical distance. Distance is a non-numerical unit of measurement in psychology and the social sciences; psychological distance is the separation of an object from itself along dimensions including time, space, and isolation.

We know that

the magnetic field is inversely proportional to distance.

\(\dfrac{B_1}{B_2} = \dfrac{D_2}{D_1}\)

\(\dfrac{20}{5} = \dfrac{D_2}{d}\)

\(D_2 = 4d\)

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what are the units on both sides of the equation: v2 = 2ax?

Answers

Meters per second are represented by the units on the left side of the equation (v₂), and meters per second are represented by the units on the right side of the equation (ax).

Which units are they?

The standard amount used to measure a particular quantity is referred to as the unit of a measurement system. For instance, the length, volume, and mass of the metric system are measured in meters, liters, and grams, respectively. Different units are used for the same quantities in other systems of measurement, such as the American customary system and the Imperial system. To indicate a quantity's size, all systems employ units of measurement.

What does the SI unit stand for?

The world's standard for describing significant natural phenomena' magnitudes or quantities is the International System of Units. The System of Units, whose original French name was Système international d'unités, is frequently abbreviated as SI. It is also known as the metric system.

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There is a car traveling 36 Km/h to the west. The concert is 12Km away. How 1 point
long would it take them to get there?
Is this a SPEED or VELOCITY problem?

Answers

The Time to get there is 3 hours

The Speed(s) of a car traveling is = 36 km/h west

Distance(d) to the concert is = 12km

Time to get there = t hours

The formulae used are

Speed(s) = Distance(d) / Time(t)

⇒Time(t) = Distance(d) / Speed(s)

⇒ t = 36 / 12

⇒ 3 hours

Hence, the time for the car to get to the concert with a speed of 36km/hr was 3 hours. This is a VELOCITY problem because it involves direction too along with the speed of the car.

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The absolute brightness of a star depends on its _____.
a. size and temperature
b. distance an temperature
c. color and temperature
d. distance and color

Answers

Option A. The absolute brightness of a star depends on its size and temperature

What is the  absolute brightness of a star

The absolute brightness of a star is the amount of light it emits at a standard distance from Earth, regardless of how far away it actually is.

The size and temperature of a star are the primary factors that determine its absolute brightness. The size of the star affects the amount of light it emits, with larger stars emitting more light. The temperature of a star affects the color of the light it emits, with hotter stars emitting bluer light and cooler stars emitting redder light. Both of these factors play a significant role in determining a star's absolute brightness.

Distance and color can also affect a star's brightness, but in different ways. The distance of a star affects its apparent brightness as seen from Earth, but not its absolute brightness. The color of a star can provide information about its temperature and composition, but does not directly determine its absolute brightness.

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How does each type of pulley make work easier?

Answers

Answer:

How do the three types of pulleys make work easier? The fixed pulley will make the toolbox most difficult to lift. The moveable pulley will make the toolbox easier to lift. The compound pulley system will make the toolbox easiest to lift.

Answer:

The toolbox will be the most difficult to lift due to the fixed pulley. The toolbox will be easy to raise with the help of the adjustable pulley. The toolbox will be easier to lift thanks to the compound pulley system.

77. The first law of motion applies to
a. Only objects that are moving
b. Only objects that are not moving
C. All objects whether moving or not
No obiect, whether moving or not

Answers

In the first law, an object will not change its motion unless a force acts on it. So I think the answer is A. Only objects that are moving.

Consider an ideal solenoid of length L, N windings, and radius b ( L is much longer than b). A current I is flowing through the wire windings. If the radius of the solenoid is doubled to 2 b, but all the other quantities remain the same, the magnetic field inside the solenoid will

Answers

The magnetic field inside the solenoid will remain the same if the radius of the solenoid is doubled to 2b, but all the other quantities remain the same.

A solenoid is an electrical device that converts electrical energy into mechanical motion. It is essentially a coil of wire that is wound in a specific way around a cylindrical core. When an electric current is passed through the coil, it generates a magnetic field that interacts with the core, causing it to move.

Solenoids are commonly used in a wide range of applications, such as in locks, valves, and electric motors. They can be used to control the flow of fluids or gases or to actuate mechanical components. The strength of the magnetic field generated by a solenoid is directly proportional to the current flowing through the coil, and the number of turns in the coil. Solenoids can be designed to produce a range of forces, depending on the application.

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the best practices being used by firms that excel in project management and have extensive outsourcing experience include: multiple select question.

Answers

long-term outsourcing agreements, fair and incentive-laden contracts, thorough training and team-building exercises, co-location when appropriate, well-defined requirements and procedures, frequent

What is meant by thorough training?

Multiple distinct curricula, each of which include a different set of classes, are what is meant by "comprehensive training." One option is to create a comprehensive training course with a single project management curriculum.

Why is in-depth training so crucial?

A more effective, competitive, and engaged workforce is essential to your company's financial performance, and dedicated training and development supports that engagement. A company that invests in career development will also see a 93% increase in employee retention.

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A spring has a spring constant of 105 N/m. If you compress the spring 0,1 m
past its natural length, what force does the spring apply?

Answers

(105 N/m) x (0.1 m)  =  10.5 Newtons.

Answer:

(105 N/m) x (0.1 m) = 10.5 Newtons.

Explanation:

apex quiz

how big is omniverse?​

Answers

Answer:

big half like whale is so big

Which of the following choices is an accurate example of how the use of cultural tools is important in the development of one’s cognitive developmental process? A. For the development of language skills, it is helpful to use symbolism in forming words to match mental pictures. B. Categorizing shades of blue from shades of purple helps one to make accurate concept formations. C. The use of an abacus to solve a mathematical equation is useful in helping the brain form a mental picture of the problem. D. Using cultural tools frequently causes connections in the brain’s nerve endings to strengthen. Please select the best answer from the choices provided A B C D.

Answers

Cognitive development is the process by which children learn to reason, solve problems, and comprehend their world. It includes acquiring and organizing knowledge, as well as developing memory, attention, and thinking abilities. Piaget's theory of cognitive development is one of the most well-known theories of cognitive development.

An accurate example of how the use of cultural tools is important in the development of one’s cognitive developmental process is: The use of an abacus to solve a mathematical equation is useful in helping the brain form a mental picture of the problem. The correct option is C. It's based on the notion that children actively build their own cognitive worlds, or schema, through interaction with their environment. This cognitive theory emphasizes the significance of culture in development, as well as how we use cultural tools to develop our cognitive capabilities. Cultural tools play a significant role in the development of one's cognitive developmental process. By assisting the brain in forming mental images of a problem, an abacus may help in the learning of mathematical concepts. Hence, the use of an abacus to solve a mathematical equation is a helpful example of how cultural tools are significant in cognitive development.

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Which processes occur during the second stage of technological design? Check all that apply.

designing a solution

studying relevant information

rebuilding and retesting

reporting a solution

defining criteria of success

identifying a problem

building a prototype

I need help quick

Answers

Explanation:

The processes that occur during the second stage of technological design are:

Studying relevant information

Defining criteria of success

Identifying a problem

The other processes you mentioned, such as designing a solution, rebuilding and retesting, reporting a solution, and building a prototype, can be part of the subsequent stages of technological design, but they are not specifically associated with the second stage.

Other Questions
Who must sign the mortgage broker dual agency disclosure form?The broker and the borrowerOnly the borrowerThe borrower and the lenderThe borrower and the seller an ecologist named mark wants to control water pollution at a source that has biodegradable pollutants. which method should mark use? a. biological action b. carbon sequestration c. incineration d. conversation tillage TRUE / FALSE. a good project metric should be understandable, quantifiable, cost effective, proven, and be effective. when you need information about wind, visibility, significant weather, and the probability of precipitation and thunderstorms, what report do you obtain? Accrotime is a company that manufactures quartzcrystal watches. Accrotime researchers have shown that the watches have an average life of 28 months before certain electronic componentsdeteriorate, causing the watch to become unreliable. The standard deviation of watch lifetimes is 5 months, and the distribution of lifetimes is normal.if Acro time does not want to make refunds for more than 12% of the watches it makes how long should the guarantee period be to the nearest month if acro time guarantees a full refund on any defective watch for two years after purchase what percentage of total production should the company expect to replace Please help!How could patenting a gene affect the progress of science?How could patenting a gene affect society?What is gene ownership? When is gene ownership ethical? Define inclusivness? If the government wanted to give people a negative direct incentive not to save money, what would be the appropriate policy? shvadchak v.v., klymchenko a.s., de rocquigny h., mely y., sensing peptide - oligonucleotide interactions by a two-color fluorescence label: application to the hiv-1 nucleocapsid protein, nucl. acids res., 2009, 37, p. e25. Sbjs chris smith writes about institutional multiteam ownership as a closely watched trend in sports finance. Which major sports league is the last holdout for allowing this approach?. What is the product of (7/8)(-16)(-7)(-1/14)A -7B -9/16C -1/7D 23/12 What i an equation of the line that pae through the point (6,-4) perpendicular to the line 2x-y=5 Hwk 7 (Ch. 1): Opens 3/21, Due 3/28 6 8 Consider the data presented in the table: investment Actual aggregate expenditure or output (Y) (billions of S) Consumption (C) Planned investmentspending (6) Net exports (Nx) (billions of S) (billions of S) (billions of S) (billions of S) of s) points 399 476 558 630 618 718 eBook 910 Based on the assumptions of the aggregate expenditure model, fill in the columns for planned investment, government spending, and net exports. Instructions: Enter the values into the table above Raferences a. For each level of actual aggregate expenditure, calculate unplanned inventory investment Instructions: Enter the values into the table above?lf the value is negative, then be sure to enter a minus sign. b. What is the equilibrium level of aggregate expenditure in this economy? Instructions: Enter a number rounded to the nearest whole number c. Suppose that planned investment increases by $20 billion. What is the new equilibrium level of aggregate expenditure in this Instructions: Enter a number rounded to the nearest whole number. A tree casts a shadow that is 7 feet long. A person nearby casts a shadow that is 3.5 feet long. The person is5 feet tall. What is the height of the tree? 6(2-3x) > 12....... guava, inc. provides the following data: 20x9 20x8 cash $22,000 $20,000 accounts receivable, net 39,000 39,000 merchandise inventory 58,000 26,000 property, plant, and equipment, net 120,000 94,000 total assets $239,000 $179,000 for the year ending december 31, 20x9: net credit sales $260,000 cost of goods sold (120,000) gross profit $140,000 calculate the days' sales in inventory for 20x9. What kind of eukaryotic cells make their own food, and what kind of process do they use? Where is the above building located? Daily Question #1:Do you think that the German Reich's world conquest was doomed from the start? Let F'() = f(x). Find the anti-derivative of the following functions given the initial condition. 1. f(t) = 4x + given F(1) = 0. 11. f(1) = 5.28 - 2x2 + 1 given F(-1) = 3. B. Find all anti-derivatives of the following function. 1. f(1) = for positive x. Problem 2 A. Find an anti-derivative using the reverse chain rule (u-substitution): 1. f(1) = 0.25(4x2 + 10)3 . 8c II. f(1) = (7.13 + 105.. = B. Find an anti-derivative using the reverse product rule (integration by parts): 1. f(1) = x ln(2)