Which properties describe elements that are nonmetal gases? Select all that apply.

A)
composed of an extended structure

B)
composed of individual atoms or diatomic molecules

C)
high melting point

D)
low melting point

E)
strong attractions between particles

F)
weak attractions between particles

Answers

Answer 1

The following are the properties describe elements that are nonmetal gases

B) composed of individual atoms or diatomic molecules

D) low melting point

F) weak attractions between particles

property B) composed of individual atoms or diatomic molecules describes the element is a nonmetal gas because the Nobel gases (eg argon . neon)  are all monoatomic whereas the other nonmetal gases (eg nitrogen , oxygen )exist as diatomic

Gases have weak force of attraction between particles , this is why they exist in a gas form (solids have the strongest force of attraction between their atom , liquid also have strong force of attraction between their atom as compared to gases) . Due to which gases have low melting point .

hence , D) low melting point and F) weak attractions between particles are properties of nonmetal gases

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Related Questions

a 50 n object was lifted 2.0 m vertically and is being held there. how much work is being done in holding the box in this position? group of answer choices 100 j less than 100 j but more than 0 j more than 100 j 0 j

Answers

The answer is 0J, as work is defined by force times distance. You exert force to hold it there but the object has 0 displacement.

A mass M1=6kg rests on a frictionless table and connected by a massless string over a massless pulley to another mass M2=6.8kg which hangs freely from the string. When released, the hanging mass falls a distance d=.9m.1) How much work is done by the normal force on M1?2) What is the final speed of the two blocks?3) How much work is done by tension on M1?4) What is the tension in the string as the block falls?5) The work done by tension on only M2 is? a) positive b) zero, c) negative.6) What is the NET work done on M2?

A mass M1=6kg rests on a frictionless table and connected by a massless string over a massless pulley

Answers

Given data:

* The mass on the frictionless table is,

\(m_1=6\text{ kg}\)

* The mass hangs freely from the string is,

\(m_2=6.8\text{ kg}\)

* The hanging mass falls a distance is,

\(d=0.9\text{ m}\)

Solution:

(1). The normal force of mass on the frictionless table is,

\(\begin{gathered} F_N=m_1g \\ F_N=6\times9.8 \\ F_N=58.8\text{ N} \end{gathered}\)

As the displacement of the mass m_1 on the frictionless table is in the hroizontal direction.

Thus, the work done by teh normal force is,

\(W=F_Nd\cos (\theta)\)\(\text{where }\theta\text{ is the angle between the normal force and dispalcement}\)

As both the normal force and displacement are perpendicuular to each other.

Thus, the work done by the nromal force on the mass m_1 is,

\(\begin{gathered} W=F_Nd\cos (90^{\circ}) \\ W=0 \end{gathered}\)

Thus, the work done by the normal force on m_1 is zero.

An object moving with a speed of 35 m/a and has a kinetic energy of 1500j, what is the mass of the object

Answers

Explanation:

Speed or velocity (V) = 35 m/s

Kinetic energy (K. E) = 1500 Joule

mass (m) = ?

We know

K.E = 1/2 * m * v²

1500 = 1/2 * m * 35²

1500 * 2 = 1225m

m = 3000 / 1225

m = 2.45 kg

The mass of the object is 2.45 kg

Hope it will help :)

PLS ANSWER FAST
California sea lions communicate underwater at frequencies ranging from 500 to 4,000 hertz. The speed of sound in sea water is approximately 1,500 m/s. What are the approximate wavelengths of sound
with which the California sea lions communicate? (1 point)
O 750,000 to 6,000,000 meters
O2,000 to 5,500 meters
O 0.33 to 2.66 meters
O 0.375 to 3 meters

Answers

The California sea lions communicate  is  option C: 0.375 to 3 meters.

To calculate the approximate wavelengths of sound with which the California sea lions communicate, we can use the formula:

Wavelength = Speed of Sound / Frequency

Given:

Speed of Sound in Sea Water = 1,500 m/s

Frequency Range = 500 Hz to 4,000 Hz

For the lower frequency of 500 Hz:

Wavelength = 1,500 m/s / 500 Hz = 3 meters

For the higher frequency of 4,000 Hz:

Wavelength = 1,500 m/s / 4,000 Hz = 0.375 meters

Therefore, the approximate wavelengths of sound with which the California sea lions communicate are approximately 0.375 to 3 meters.

So, the correct answer is option C: 0.375 to 3 meters.

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What phase of a low mass stars life has a core with active helium fusion and a shell of hydrogen fusion

Answers

The phase of a low-mass star's life that has a core with active helium fusion and a shell of hydrogen fusion is called the red giant phase. During the red giant phase, low-mass stars exhibit a core with active helium fusion and a shell of hydrogen fusion, allowing them to sustain their energy production and prolong their stellar evolution.

During the red giant phase, a low-mass star undergoes significant changes in its structure and energy generation processes. As the star exhausts the hydrogen fuel in its core, it starts to expand and cool, becoming a red giant. At this stage, the core contracts under its own gravity, becoming denser and hotter.

In the core of a red giant, the temperature and pressure conditions become suitable for helium fusion to occur. Helium nuclei combine to form heavier elements, releasing energy in the process. This active helium fusion in the core contributes to the star's energy production.

Simultaneously, a shell of hydrogen fusion forms around the core. The outer layers of the star still contain hydrogen, and as the core contracts and heats up, the hydrogen in the shell surrounding the core becomes hot enough to undergo fusion reactions. This shell of hydrogen fusion contributes to the overall energy output of the red giant.

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4. A person throws a rock from the top of a castle wall across a moat. The rock has an initial velocity of 12 m/s [42o above the horizontal]. The rock lands on the far side of the castle’s moat, at a level 9.5 m below the initial level.
a) 4T,1C
b) 4T,1C

Determine the vertical velocity of the rock when it hits the ground.
Determine the time it takes to hit the ground.

Answers

In the problem given, the vertical velocity of the rock when it hits the ground is approximately 21.53 m/s, and it hits the ground after 1.41 seconds.

How to Calculate the Vertical Velocity?

To solve this problem, we need to break the initial velocity into its horizontal and vertical components.

The horizontal component of the velocity is given by:

v_x = v * cos(theta) = 12 m/s * cos(42°) ≈ 9.04 m/s

where theta is the angle above the horizontal.

The vertical component of the velocity is given by:

v_y = v * sin(theta) = 12 m/s * sin(42°) ≈ 7.93 m/s

We can use the vertical component of the velocity to find the time it takes for the rock to hit the ground. We can use the equation:

y = v_y * t + 1/2 * a * t^2

where y is the vertical displacement, a is the acceleration due to gravity (9.81 m/s^2), and t is the time.

Since the rock lands 9.5 m below the initial level, we have:

y = -9.5 m (taking downwards as negative)

Substituting the values, we get:

-9.5 m = 7.93 m/s * t + 1/2 * 9.81 m/s^2 * t^2

Simplifying the equation, we get:

4.905t^2 + 7.93t + 9.5 = 0

Using the quadratic formula, we get:

t = (-7.93 ± sqrt(7.93^2 - 4 * 4.905 * 9.5)) / (2 * 4.905)

t ≈ 1.41 s (ignoring the negative root)

So it takes approximately 1.41 seconds for the rock to hit the ground.

Finally, we can use the time and the horizontal velocity to find the horizontal displacement of the rock using the equation:

x = v_x * t

x = 9.04 m/s * 1.41 s ≈ 12.77 m

Therefore, the rock lands approximately 12.77 m away from the base of the castle wall.

Since we know the time it takes to hit the ground, we can also find the vertical velocity of the rock when it hits the ground. We can use the equation:

v_y = v_y0 + a * t

where v_y0 is the initial vertical velocity (which we already calculated as 7.93 m/s), and t is the time it takes to hit the ground (which we just calculated as 1.41 s).

Substituting the values, we get:

v_y = 7.93 m/s + 9.81 m/s^2 * 1.41 s ≈ 21.53 m/s

Therefore, the vertical velocity of the rock when it hits the ground is approximately 21.53 m/s, and it hits the ground after 1.41 seconds.

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Identify the aspects of the pictured graph that are missing or contain errors.

Answers

Answer:

ooops ignore this it wont let me leave this screen it does this weirdly s

Explanation:

What is the SI unit for measuring Force?
A. Pounds
B. Grams
C. Newtons
D. Kilograms

Answers

Answer:

Newton.........

.....

when you look at an object in a mirror, the image is:

Answers

Answer:

When you place an object in front of a mirror, you see the same object in the mirror. This image that appears to be behind the mirror is called the image. The object is the source of the incident rays, and the image is formed by the reflected rays. An image formed by reflection may be real or virtual.

A thin lens with a focal length of 5.90 cm is used as a simple magnifier. What angular magnification is obtainable with the lens if the object is at the focal point?

Answers

The angular magnification (M) obtained with a thin lens used as a simple magnifier when the object is at the focal point is -1.

The angular magnification is given by the formula:

M = -f / (f - d)

Where:

M is the angular magnification,

f is the focal length of the lens,

d is the distance between the object and the lens.

In this case, since the object is at the focal point, the distance between the object and the lens (d) is equal to the focal length of the lens (f). Substituting the values, we have:

M = -f / (f - f)

M = -f / 0

M = -1

Therefore, when the object is at the focal point, the angular magnification obtained with the lens is -1.

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Mass of an empty dry density bottle is 25g, mass of bottle full of water is 53g volume of water in the bottle is 48cm^3.find density of water

Answers

Therefore, the density of water would be 28g/48mL.

The density of an object can be calculated by dividing its mass by its volume.

In this case, we have a density bottle filled with water.

The mass of the empty dry density bottle is 25g, while the mass of the bottle filled with water is 53g.

The volume of water in the bottle is given as 48 cm³.

To find the density of water, we can subtract the mass of the empty bottle from the mass of the bottle filled with water to determine the mass of the water alone.

In this case, the mass of the water would be 53g - 25g = 28g.

Next, we divide the mass of the water by its volume to calculate the density.

The density of water is given by the equation density = mass/volume.

So, the density of water would be 28g/48cm³.

To simplify the units, we can convert cm³ to mL (milliliters), as they are equivalent.

Therefore, the density of water would be 28g/48mL.

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Pls help (look at picture below)

Pls help (look at picture below)

Answers

A. Controlled Variable.

I hope this helps!

A dedicated PV system circuit breaker, suitable for backfeed and positioned at the opposite end of the bus from the ______, is a requirement of NEC 705.12(B).

Answers

A dedicated PV system circuit breaker, suitable for backfeed and positioned at the opposite end of the bus from the main circuit breaker, is a requirement of NEC 705.12(B).

What is a circuit's straightforward definition?

A completed circular conduit through which electricity flows is known as a circuit in electronics. A simple circuit includes a current provider, conductors, and a load. The term "circuit" can broadly be used to describe any ongoing path via which electricity, information, or a signal might go.

Why are circuits essential?

A channel for the transfer of electric current is known as an electric circuit. Electric energy is transferred to components that transform it into various types of energy that can perform work, such as supplying power to light, appliances, and other devices, when electrical current flows across a circuit.

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A 10-gram marble has a speed that is 5 times faster than that of a 100-gram marble. Both marbles roll off the table at the same time. Answer the following questions. In your explanations, address the fact that the marbles have different masses and. different speeds. [1] (a) Which marble hits the ground first and why? (b) Which marble travels farther and why?

Answers

(a) It can be stated that the 10-gram marble hits the ground first because it has a higher acceleration and travels faster.

(b) Both marbles will travel the same distance since their horizontal components of velocity and initial velocity with respect to the ground are the same.

According to the given statement, a 10-gram marble has a speed that is 5 times faster than that of a 100-gram marble. Both marbles roll off the table at the same time. The questions to answer are as follows:

(a) The acceleration due to gravity is constant at 9.8 m/s², according to Newton's Law of Gravitation.

According to the law of physics, heavier objects fall faster than lighter ones, but since the 10-gram marble has a speed that is five times faster than the 100-gram marble, it implies that the 10-gram marble covers more ground in less time than the 100-gram marble as acceleration is directly proportional to the force applied.

The time taken by both marbles to reach the ground is given byt = √(2h/g)where h is the height from which the marbles were dropped, and g is the acceleration due to gravity.

The height from which the marbles were dropped is the same in both cases, so it can be stated that the 10-gram marble hits the ground first because it has a higher acceleration and travels faster.

(b) The range traveled by both marbles is determined by the horizontal component of their velocity. It's worth noting that the horizontal components of their velocities are identical since they were launched from the same height, so there's no advantage for either marble.

The range of a projectile is determined by the formula:

R = u²sin(2θ)/g where R is the range, u is the velocity of the object, θ is the angle of the initial velocity with the horizontal, and g is the acceleration due to gravity.

Since the angle of the initial velocity with the horizontal is the same for both marbles, and their initial velocity is also the same, it can be stated that both marbles travel the same distance.

Therefore, both marbles will travel the same distance since their horizontal components of velocity and initial velocity with respect to the ground are the same.

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Convection ovens are ovens that are advertised to cook food more evenly than a standard thermal oven. Which statement best explains how a convection oven works?Hot air is transferred through molecule to molecule contact.bHot air is transferred through density differences with hot air rising and cool air sinking.cHot air is transferred through heat being radiated from a thermal burner.dHot air is transferred through density differences with cool air rising and hot air sinking.

Answers

Answer: Hot air is transferred through heat being radiated from a thermal burner.

The oven absorbs air from the environment and passes it through a thermal resistance (thermal burner) to heat it and then this hot air is the one that cooks the food.

Answer:

he is wronggg

Explanation:

REALLY NEED HELP, DUE TODAY!!!

1. How will an object at rest be affected if multiple forces working on it are opposed but unbalanced?

Motion will either be created, stopped, or changed.

The acceleration of the object will increase

The unbalanced forces will cause the object to produce a humming sound

The mass of the object will decrease.

2. A blue car weighing 1,302 kg is accelerating forward at a rate of 4 m/s2. What is the forward force of the car?

325.5 N

1,298 N

1,306 N

5,208 N

3. Two people collide on a busy city street. What information is needed to calculate the force one of the people exerts on the other person?

The velocity of each person

The speed of each person

The mass and acceleration of each person

The location of the collision

4. (don't need)

5. Two bowling balls of different masses collide while accelerating at 1.875 m/s2. The first ball, rolling to the right, weighs 7 kg. The second ball, rolling to the left, weighs 4 kg. What force does the bowling ball weighing 7 kg exert on the bowling ball weighing 4 kg?

8.875 N to the right

3.73 N to the left

7.5 N to the left

13.125 N to the right

Answers

Answer:

1.An object at rest has zero velocity - and (in the absence of an unbalanced force) will remain with a zero velocity. Such an object will not change its state of motion (i.e., velocity) unless acted upon by an unbalanced force.

3.Let speed of balls are v

1

and v

2

.

There is no external force acting, momentum will be conserved.

m

1

u

1

+m

2

u

2

=m

1

v

1

+m

2

v

2

⇒m×6−m×6=mv

1

+mv

2

⇒v

1

=−v

2

Coefficient , e=−

u

1

−u

2

v

1

−v

2

3

1

=−

6+6

v

1

−v

2

⇒v

1

=−2m/sWhen two objects with the same mass collide, Newton's laws tell us that they will accelerate the same amount but in opposite directions.

Collision Forces - 5/5

1. A) Motion will be either created, stopped or changed.

2. D) 5,208 N

3. B) the mass and acceleration of each person

4. C) balanced forces

5. B) 13.125 N to the right

Hope this helps ya out peeps!

A student writes an expression for the momentum (P) of of mass (m), with total energy (E) and considering the body duration of time (t) as P = √2 mE/t Check it's correctness on dimensional analysis. ​

Answers

Answer:

The expression written for the momenum of a body is dimensionally incorrect.

Explanation:

P = momentum, m = mass, E = Energy & t = time Now, we know: Dimensional formula of momentum (p) = [MLT-1] Dimensional formula of mass (m) = [M] Dimensional formula of Energy (E) = [ML2T-2] Dimensional formula of time (t) = [T] Here, Dimensional formula of LHS = [MLT-1] And, Dimensional formula of RHS = 2/M212T-21 [T] -=√2 M²LT 3]=[MLT/2] [2 is constant] 2[M] [MLT-21 [T] Since the dimensional formula of LHS # dimensional formula of RHS. [MILT-1] [MLT-3/2] hence the given relation is dimensionly incorrect

Need Help !
A 1500 kg car on flat ground is
moving 5.25 m/s. Its engine
creates a 1250 N forward force as the car moves 42.8 m. What is its final velocity?​

Answers

Answer: 5.96m/s

Explanation:

Given the following :

Mass of car (m) = 1500kg

Velocity (V) = 5.25m/s

Forward force of engine = 1250N

Diatance moved = 4.8m

Final Velocity =?

Final kinetic energy = Initial kinetic energy + work done by engine

Initial kinetic energy = 0.5 × mass × velocity^2

Initial kinetic energy = 0.5 × 1500 × 5.25^2

Initial kinetic energy = 20671.875 J

Work done by engine = Force × distance

Work done by engine = 1250 × 4.8 = 6000J

Final kinetic energy = (20671.875 + 6000) J

= 26671.875 J

From kinetic energy = 0.5mv^2

26671.875 = 1/2 × 1500 × v^2

53343.75 = 1500v^2

v^2 = 35.5625

v = sqrt(35.5625)

v = 5.96m/s

Which of these scenarios describes circular motion?
es )
A)
The moon orbiting the Earth
B)
A cannonball flying from a cannon
C)
A car moving along a straight track
D)
The pendulum of a grandfather clock

Answers

A)

The moon orbiting the Earth

To guard live parts over 50v but less than 600v, equipment is permitted to be _____.

Answers

It is crucial to ensure that the equipment is in compliance with safety regulations and standards to ensure the protection of individuals working with or near live parts. These measures help reduce the risk of electrical accidents and promote a safer working environment.

To guard live parts over 50V but less than 600V, equipment is permitted to be appropriately insulated. This means that the equipment needs to have insulation that can withstand the voltage and provide protection against electric shock. Insulation can be achieved through various means, such as using insulating materials like rubber or plastic.
For example, electrical wires are often coated with insulating material like PVC (polyvinyl chloride) to prevent contact with live parts and reduce the risk of electrical shock.

Similarly, electrical devices like switches, outlets, and circuit breakers are designed with insulation to prevent accidental contact with live electrical components.
It is crucial to ensure that the equipment is in compliance with safety regulations and standards to ensure the protection of individuals working with or near live parts. These measures help reduce the risk of electrical accidents and promote a safer working environment.

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the
resistance R produced by wiring resistors of R1 and R2 ohms in
parallel can be calculated from 1/R=1/R1+1/R2. If R1 and R2 are
measured to be 7 ohms and 10 ohms respectively and if these
measureme

Answers

nts have an uncertainty of 0.1 ohms each, we can calculate the following:

(a) Calculate the resistance R when R1 and R2 are wired in parallel:

Using the formula 1/R = 1/R1 + 1/R2, we can substitute the given values:

1/R = 1/7 + 1/10

(b) Calculate the percent uncertainty in R1:

Percent uncertainty in R1 = (Uncertainty in R1 / R1) * 100

Percent uncertainty in R1 = (0.1 ohms / 7 ohms) * 100

(c) Calculate the percent uncertainty in R2:

Percent uncertainty in R2 = (Uncertainty in R2 / R2) * 100

Percent uncertainty in R2 = (0.1 ohms / 10 ohms) * 100

(d) Calculate the percent uncertainty in R:

To calculate the percent uncertainty in R, we need to consider the uncertainties in R1 and R2:

Percent uncertainty in R = (Percent uncertainty in R1 + Percent uncertainty in R2)

You can substitute the given values into the equations to calculate the desired values.

Note: The uncertainty in R is calculated by combining the uncertainties in R1 and R2. Since the formula for parallel resistance is an addition of terms, the percent uncertainties in R1 and R2 can simply be added.

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A seasoned mini golfer is trying to make par on a tricky hole number 5 . The golfer must complete the hole by getting the ball from the flat section it begins on, up a θ=41.5 ∘
ramp, over a gap, and into the hole, which is d=1.00 m away from the end of the ramp. If the opening of the hole and the top of the ramp are at the same height, h=0.540 m, at what speed v 1

must the ball be moving as it approaches the ramp to land directly in the hole? Assume that the ball rolls without slipping on all surfaces, and once the ball launches off the incline, its angular speed remains constant. The acceleration due to gravity is 9.81 m/s 2
.

Answers

The seasoned mini golfer must give the ball an initial speed of approximately 1.95 m/s to land directly in the hole on tricky hole number 5.

To land directly in the hole on tricky hole number 5 of mini golf, the seasoned golfer must launch the ball up a 41.5° ramp with a height of 0.540 m. The ball needs to travel a distance of 1.00 m to reach the hole. Assuming no slipping occurs and the ball maintains constant angular speed after launching, the golfer needs to give the ball an initial speed of approximately 1.95 m/s.

To determine the required initial speed (v1) of the ball, we can break down the problem into two parts: the ball's motion along the ramp and its motion through the air. Firstly, let's consider the motion along the ramp.

The ball moves up the ramp against gravity, and we can analyze its motion using the principles of projectile motion. The vertical component of the initial velocity (v1y) is given by v1y = v1 * sin(θ), where θ is the angle of the ramp. The ball must reach a height of 0.540 m, so using the equation for vertical displacement, we have:

h = (v1y^2) / (2 * g), where g is the acceleration due to gravity.

Solving for v1y, we get v1y = sqrt(2 * g * h). Substituting the given values, we find v1y ≈ 1.30 m/s.

Next, we consider the horizontal motion of the ball. The horizontal component of the initial velocity (v1x) is given by v1x = v1 * cos(θ). The ball needs to travel a horizontal distance of 1.00 m, so using the equation for horizontal displacement, we have:

d = v1x * t, where t is the time of flight.

Rearranging the equation to solve for t, we get t = d / v1x. Substituting the given values, we find t ≈ 0.517 s.

Now, considering the vertical motion, we know that the vertical velocity of the ball just before reaching the hole is zero. Using the equation for vertical velocity, we have:

v2y = v1y - g * t.

Substituting the values we found, we get v2y = 0. To land directly in the hole, the ball should have zero vertical velocity at the end. Therefore, we need to launch the ball with a vertical velocity of v1y ≈ 1.30 m/s.

Finally, to find the required initial speed (v1), we can use the Pythagorean theorem:

v1 = sqrt(v1x^2 + v1y^2).

Substituting the values we found, we get v1 ≈ 1.95 m/s.

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a ball is thrown straight up from the ground level, with an initial velocity of 14.7 m/s.14.7 m/s. how high is the ball thrown? assume the acceleration due to gravity is 9.8 m/s2.

Answers

The ball's velocity decreases as it ascends, reaching a zero velocity peak at 11.025 meter's, the highest point. The speed of the ball remains constant during the toss.

The ball continues to move upward in the same direction until it reaches highest point. As the ball ascends higher, its velocity will slow down. The following is true for the ball's velocity and acceleration when it reaches its highest point. Its acceleration is not zero, despite its zero velocity. Option B is the appropriate response, thus. Any object's rate of change in velocity with respect to time is referred to as acceleration.

Maximum height reached = H = \(V^{2} /2g\)

Maximum height reached = \((14.7)^{2}/(2*9.8)\)

                                          = 11.025 meters

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the temperature in degrees farenheight in times square during a day in aguast can be predicted by the function t(x)

Answers

The given statement is that the temperature in degrees Fahrenheit in times square during a day in August can be predicted by the function t(x).

Hence, it can be stated that the function t(x) provides a prediction for the temperature in degrees Fahrenheit in Times Square for a given value of x. Here, x represents the input variable.

It is important to note that the input variable must be provided in the correct units and format as required by the function t(x).The content loaded refers to the data that has been previously collected and is available for analysis. In the context of predicting temperature using function t(x),

the content loaded can refer to temperature data collected in Times Square during August on previous days or years. This data can be analyzed and used to develop the function t(x) that predicts temperature for a given input variable x.

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Timed! I would really appreciate some help! thank you!
Andy runs for 30 minutes at a speed of 10km/h. How far did he run? (Hint: remember to convert the minutes to hours before calculating distance.) *

3km
5km
150km

Answers

Answer:

x = 5[km]

Explanation:

We must convert the time from minutes to hours.

\(t=30[min]*\frac{1h}{60min}= 0.5[h]\\\)

We know that speed is defined as the relationship between space and time.

\(v=x/t\)

where:

x = space [m]

t = time = 0.5 [h]

v = velocity [m/s]

Now replacing:

\(x = 10[\frac{km}{h} ]*0.5[h]\\x=5[km]\)

Two bumpers cars are headed for a collision at Rue Le Dodge on a Great America physics field trip. One bumper car has a mass of 46.3 kg heading to the right at 5.24 m/s, while the other has a mass of 55.4 kg headed in the opposite direction (to the left) at a speed of 1.79 m/s. If the two bumper cars collide, what will be the total momentum of both cars after the collision? Round your answer to two decimals.

Answers

The total momentum after collision is 143.466 kgm/s.

What is momentum of a body?

The momentum of a body is the product of the mass and the velocity of the body.

Momentum = mass * velocity

Assuming the right direction as positive and left direction as negative:

Total Momentum before collision = Total Momentum after collision

Momentum to the right = 46.3 * 5.24 = +242.612 kgm/s

Momentum to the left = 55.4 * -1.79 = -99.166 kgm/s

Total momentum before collision =  +242.612 kgm/s - 99.166 kgm/s

Total momentum before collision = 143.466 kgm/s

Thus, total momentum after collision is 143.466 kgm/s.

In conclusion, momentum is conserved in an isolated system of colliding bodies.

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Abby is 5 feet tall and casts a 4 foot long shadow of her older brother Ethan is standing next to her and casts a 4.6 shadow how much taller than Abby us Ethan

Answers

Answer:

0.6 ☻︎☻︎☻︎☻︎☻︎☻︎☻︎☻︎☻︎☻︎☻︎

the position of a particle moving along the x-axis is x(t)=sin(2t)−cos(3t) for time t≥0. when t=π, the acceleration of the particle is

Answers

Given: The position of a particle moving along the x-axis is x(t)=sin(2t)−cos(3t) for time t≥0, and we have to find the acceleration of the particle when t=π.Solution:In order to find the acceleration of the particle, we need to take the derivative of x(t) twice.

Derivative of x(t):x'(t) = 2cos(2t) + 3sin(3t) [using chain rule]Second Derivative of x(t):x''(t) = -4sin(2t) + 9cos(3t) [using chain rule]When

t = π, we get: x'(π)

= 2cos(2π) + 3sin(3π)

= 2(1) + 3(0) = 2x''(π)

= -4sin(2π) + 9cos(3π)

= -4(0) + 9(-1)

= -9

Thus, the acceleration of the particle when t = π is -9.We have found that the acceleration of the particle when t = π is -9. The given equation for position of a particle moving along the x-axis is

x(t)=sin(2t)−cos(3t)

for time t≥0. The question asks for the acceleration of the particle when t=π. The acceleration can be calculated by taking the derivative of the given function of position. The derivative of x(t) is x'(t) = 2cos(2t) + 3sin(3t). We can find the acceleration of the particle by taking the second derivative of

x(t), x''(t) = -4sin(2t) + 9cos(3t).

Now, we can find the acceleration of the particle when t=π by plugging π into the first and second derivative equations.

x'(π) = 2cos(2π) + 3sin(3π)

= 2(1) + 3(0) = 2. x''(π)

= -4sin(2π) + 9cos(3π)

= -4(0) + 9(-1)

= -9.

Thus, the acceleration of the particle when t = π is -9.

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Michael has a constant elasticity of substitution (CES) utility function, U(q 1

,q 2

)=(q 1
rho

+q 2
rho

) rho
1

, where rho

=0 and rho≤11 14
Given that Michael's rho<1, what are his optimal values of q 1

and q 2

in terms of his income and the prices of the two goods? Answer 1. Substitute the income constraint into Michael's utility function to eliminate one control variable. Michael's constrained utility maximization problem is max q 1

,q 2


U(q 1

,q 2

)=(q 1
rho

+q 2
rho

) rho
1

s.t. Y=p 1

q 1

+p 2

q 2


We can rewrite Michael's budget constraint as q 2

=(Y−p 1

q 1

)/p 2

. Substituting this expression into his utility function, we can express Michael's utility maximization problem as: max q 1


U(q 1

, p 2

Y−p 1

q 1


)=(q 1
rho

+[ p 2

Y−p 1

q 1


] rho
) 1/rho
. By making this substitution, we have converted a constrained maximization problem with two control variables into an unconstrained problem with one control variable, q 1

2. Use the standard, unconstrained maximization approach to determine the optimal value for q 1

. To obtain the first-order condition, we use the chain rule and set the derivative of the utility function with respect to q 1

equal to zero: rho
1

(q 1
rho

+[ p 2

Y−p 1

q 1


] rho
) rho
1−rho

(rhoq 1
rho−1

+rho[ p 2

Y−p 1

q 1


] rho−1
[−− p 2

p 1


])=0 Using algebra, we can solve this equation for Michael's optimal q 1

as a function of his income and the prices: 15 (3.18) q 1

= p 1
1−σ

+p 2
1−σ

Yp 1
−σ


where σ=1/[1−rho]. By repeating this analysis, substituting for q 1

instead of for q 2

, we derive a similar expression for his optimal q 2

: (3.19) q 2

= p 1
1−σ

+p 2
1−σ

Yp 2
−σ


Thus, the utility-maximizing q 1

and q 2

are functions of his income and the prices.

Answers

The optimal values of \(q_1\) and \(q_2\) are determined by these equations, which are functions of Michael's income and the prices of the goods.

The given problem describes Michael's utility maximization problem with a constant elasticity of substitution (CES) utility function. The objective is to find the optimal values of \(q_1\) and \(q_2\) in terms of Michael's income (Y) and the prices of the two goods (\(p_1\) and \(p_2\)).

1. Substitute the income constraint into Michael's utility function:

\(U(q_1, q_2) = (q_1^\rho + q_2^\rho)^(1/\rho)\)

  s.t. \(Y = p_1q_1 + p_2q_2\)

  We can rewrite Michael's budget constraint as \(q_2 = (Y - p_1q_1)/p_2\). Substituting this expression into his utility function, we have:

 \(U(q_1, p_2, Y) = (q_1^\rho + [p_2(Y - p_1q_1)/p_2]^\rho)^{(1/\rho)\)

  By making this substitution, we have converted the constrained maximization problem with two control variables (\(q_1\) and \(q_2\)) into an unconstrained problem with one control variable \((q_1)\).

2. Use the standard unconstrained maximization approach to determine the optimal value for \(q_1\). To obtain the first-order condition, we differentiate the utility function with respect to \(q_1\) and set it equal to zero:

\(\delta U / \delta q_1 = \rho(q_1^{(\rho-1)} + \rho[p_2(Y - p_1q_1)/p_2]^{(\rho-1)}(-p_1/p_2)) = 0\)

Simplifying and solving for \(q_1\):

\(\rho q_1^{(\rho-1)} - \rho(p_1/p_2)[p_2(Y - p_1q_1)/p_2]^{(\rho-1)} = 0\)

\(\rho q_1^{(\rho-1)} - \rho(p_1/p_2)[Y - p_1q_1]^{(\rho-1)} = 0\)

\(\rho q_1^{(\rho-1)} = \rho(p_1/p_2)[Y - p_1q_1]^{(\rho-1)}\)

\(q_1^{(\rho-1)} = (p_1/p_2)[Y - p_1q_1]^{(\rho-1)\)

\(q_1^{(\rho-1)} = (p_1/p_2)^{(1-\rho)}[Y - p_1q_1]^{(\rho-1)}\)

\(q_1^{(\rho-1)} = (p_1/p_2)^{(1-\rho)}(Y - p_1q_1)^{(\rho-1)}\)

\(q_1^{(\rho-1)} = (p_1/p_2)^{(1-\rho)}(Y^{(\rho-1)} - (\rho-1)p_1q_1(Y - p_1q_1)^{(\rho-2)})\)

  This equation represents Michael's optimal \(q_1\) as a function of his income (Y) and the prices (\(p_1\) and \(p_2\)).

3. Similarly, we can derive a similar expression for his optimal \(q_2\):

\(q_2^{(\rho-1)} = (p_2/p_1)^(1-\rho)(Y^{(\rho-1)} - (\rho-1)p_2q_2(Y - p_1q_2)^{(\rho-2)})\)

  This equation represents Michael's optimal \(q_2\) as a function of his income (Y) and the prices (\(p_1\) and \(p_2\)).

Therefore, these equations, which depend on Michael's income and the prices of the commodities, determine the ideal values of \(q_1\) and \(q_2\).

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9) How is a vector described? 10) What do we use vectors to describe in physics?

Answers

9) A vector describe as a quantity that has both magnitude and direction. 10) We use vectors to describe in physics in physical quantities, including displacement, velocity, acceleration, force, momentum, and torque.

The vector is typically represented by an arrow, with the length of the arrow representing the magnitude of the vector and the direction of the arrow representing the direction of the vector. In addition to the magnitude and direction, vectors also have a starting point and an end point. Vectors can be added together to obtain a resultant vector that represents the sum of the individual vectors. Vectors can also be subtracted, multiplied by a scalar, or divided by a scalar.

For example, displacement is a vector that describes the distance and direction between two points. Velocity is a vector that describes the speed and direction of motion and acceleration is a vector that describes the rate at which velocity changes. Force is a vector that describes the push or pull on an object and momentum is a vector that describes the motion of an object and its resistance to change. Torque is a vector that describes the rotational motion of an object. So therefore vectors are an important tool for physicists because they allow them to describe physical quantities in a way that is both concise and precise.

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