a crate of grapes lifted 10 meters gains 200 j of potential energy. if the same crate is instead lifted 20 meters, its gain in potential energy is

Answers

Answer 1

A same crate gains twice as much potential energy when it is raised 20 meters alternatively.

What is potential energy, exactly?

Potential energy is a form of energy that is dependent on the relationship between different system components. When a springy is stretched or stretched, its potential energy increases. If a steel ball is pushed above the ground as opposed to descending to the ground, it has more energy stored.

What kind of potential energy is that?

An object has the capacity to store energy because of its position. As an example, a destruction machine's large ball is conserving energy by being held in a high position. This positional force that has been saved is known as electric potential.

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Related Questions

two forces act on an 8 kg object; 43 n to the right and 54 n to the left. find the acceleration of the object.

Answers

The acceleration of the object is 1.375 m/s².

Given that, mass of the object = 8kg

Fa = 43 N acts towards right

Fb = 54 N acts towards left

Let us consider left as the positive sign convention.

Fb - Fa = 54 - 43 = 11 N

From, Newton's second law of motion, we know, F = m * a

where, F is the force

m is mass

a is acceleration

Substituting the values in the above equation, we have,

11 = 8* a

Acceleration a = 11 / 8 = 1.375 m/s²

Thus, the acceleration of the object is 1.375 m/s².

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A block is pushed across a 10 m rough surface quickly by a boy. Which of the following would not increase the power needed by the boy to move the block?

Question 5 options:

A .Increase the mass of the block


B. Decrease the time of the block slid


C. Increase the roughness of the surface


D. Increase the time of the block was slid

Answers

The option that would not increase the power needed by the boy to move the block is "Increase the time of the block was slid".

Option D is the correct answer.

What is the power applied by the boy?

The power applied by the boy to push the block across the 10 m rough surface is the measure of the energy expended over a given time interval.

Mathematically, the power applied by the boy is given as;

P = E/t

where;

E is the energy expended by the boyt is the time over which the boy applies the force

P = (F x d)/t

where;

F is the applied forced is the displacement of the block

According to Newton's second law of motion, the applied force is given as;

F = ma

P = (ma x d) / t

where;

m is the mass of the blocka is the acceleration of the blockd is the displacement of the blockt is time of motion

From the formula above, the following will increase the power needed by the boy to move the block.

increase in the mass of the blockincrease in the displacement of the blockdecrease the time of block slid

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A solid sphere of radius R is placed at a height of 40 cm on a 15∘ slope. It is released and rolls, without slipping, to the bottom.From what height should a circular hoop of radius R be released on the same slope in order to equal the sphere's speed at the bottom?

Answers

A solid sphere of radius R is placed at a height of 40 cm on a 15∘ slope. It is released and rolls, without slipping, to the bottom. A circular hoop of radius R be released on the same slope in order to equal the sphere's speed at the bottom with height of 57.14 cm

The height that a circular hoop should be released can be calculate as follows:

Generally the equation for the potential energy of the sphere is mathematically given as

mgh= 1/2Iw² =1/2 mv²

where,

inertia of sphere

I = 2/5 mr²

and

angular velocity

w = v/r

therefore, we can input inertia of sphere and angular velocity to potential energy equation

mgh= 1/2Iw² =1/2 mv²

mgh = 1/2 ( 2/5mr²) ((v/r)² + 1/2mv²

mgh = 1/2 ( 2/5(v/r)²mr²) + 1/2mv²

mgh = 1/5 mv² +  1/2 mv²

mgh = 7/10 mv²

v² = 10gh

        7

generally the equation for the inertia of circle of sphere is mathematically given as

I = mr²

mgh = mv²

h = v²/g

therefore h = 10gh/7

                        g

h = 57.14 cm

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If the sum of the external forces on an object is zero, then the sum of the external torques on it must also be zero.

Answers

The sum of the external forces and torques acting on an object must be zero if the object is at rest.

When the sum of the external forces and the sum of the external torques?

We can infer from answer options that the body may have constant linear or constant rotational velocity, or both simultaneously, if the total of the external forces and total of the external torques acting on it are both zero.

If the thing has zero net force and zero net torque, the object is in equilibrium.

The total force acting on an object is summed up into a vector as the net force. When anything is in equilibrium, whether it's at rest or moving at a constant speed, there is no net force acting on it. Only a vector with zero components can have zero magnitude.

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determine the rms current, the average power dissipated by the resistor, and the maximu voltage of the capacitor

Answers

The RMS current , Power and Maximum voltage have values 0 to 1 , V1/2 to 0 and infinity to zero.

The triangle's vertical side will be significantly longer than its horizontal side if reactance dominates a circuit, and will be close to 90° as a result. This is in line with what is understood about purely reactive circuits, which produce a 90° phase difference between voltage and current.The horizontal side will be much longer than the vertical side if resistance dominates the circuit. In light of this, the value of will be very small, just as there is very little phase shift between voltage and current in a nearly entirely resistive circuit.As cosx varies from 1 to zero (corresponding to that varies from 0° to 90° or -90°), average power varies from (VI)/2 to zero.Therefore, it should come as no surprise that the cosine of —whether you choose to refer to as the impedance angle, the angle between active power and complex power, or the phase difference between voltage and current—is referred to as the power factor. To calculate the average power lost by a circuit, multiply the power factor by (VI)/2. A power factor that is closer to zero indicates that reactive power makes up a larger portion of the circuit's total power.

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which type of solar energy technology(s) can continue to generate electricity for a while after the sun goes down? select all that apply.

Answers

Grid-Tied Residential Solar Cells energy technique (or technology(s)) can keep producing electricity after the sun sets for a while.

How can we harness the sun's energy?

Solar energy collectors and photovoltaic solar systems are two ways that human ingenuity has created to harness solar energy and convert it into electricity. A solar thermal process utilizes the heat from the sun to create steam, which powers a turbine and ultimately creates electricity.

What exactly is a solar power system?

In addition to the components that convert the immediate (DC) electricity generated by modules into the ac current (AC) electricity needed to power all of the home's appliances, systems also feature mounting structures that guide panels toward the sun.

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Grid-Tied Residential Solar Cells energy technique (or technology(s)) can keep producing electricity after the sun sets for a while.

How can we harness the sun's energy?

Solar energy collectors and photovoltaic solar systems are two ways that human ingenuity has created to harness solar energy and convert it into electricity. A solar thermal process utilizes the heat from the sun to create steam, which powers a turbine and ultimately creates electricity.

What exactly is a solar power system?

In addition to the components that convert the immediate (DC) electricity generated by modules into the ac current (AC) electricity needed to power all of the home's appliances, systems also feature mounting structures that guide panels toward the sun.

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suppose that you are holding a pencil balanced on its point. if you release the pencil and it begins to fall, what will be the angular acceleration when it has an angle of 10.0 degrees from the vertical? a typical pencil has an average length of 15.0 cm and an average mass of 10.0 g . assume the tip of the pencil does not slip as it falls.

Answers

If a pencil goes from such a perfectly vertical position while maintaining its angular acceleration, the time it takes for it to hit the ground is 0.4299s.

What does the term "angular acceleration" mean?

Angular acceleration is the term used to describe the temporal pace at which angular momentum varies. The formulae per cent per seconds measure unit is the norm. Therefore, = d d t. Angular velocity is also known as rotating acceleration.

What is the angular acceleration measurement unit?

Angular acceleration is measured in rad/s/s, or rad/s2. If grows, then the result is good. If falls, then falls is negative.

Briefing:

angular acceleration, τ = I α

Wr = I α

sin 10 = r / (L/2)

r = L/2 sin 10

A inertia moment will then occur:

I = 1/3 M L²

αf = 3/2 g / L sin 10

α = [3/2 × 9.8] / [0.150 sin10]

α = 17 rad/s²

θ = π / 2

t = √(π / α )

t = √(π / 17)

t = √3.142 / 17

t = 0.4299s

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if 100 photons of light hit an object, and 90 of them are absorbed, but zero are transmitted, zero are scattered and zero are refracted: what is the albedo of the object, and what is most likely to be its color?

Answers

The albedo of the object is 90% and the color which is most likely to be its is black.So,correct option is c.

A photon reflected from a white wall can unquestionably be reflected from another white wall. In any case, the reflection can't happen always, on the grounds that no genuine wall can mirror 100 percent of the light radiated on it.

On the off chance that a wall is blue, that implies that it reflects blue photons well, and doesn't reflect as numerous photons of varieties that aren't blue.

Since,it is given that 90 of photons are absorbed,it means 90% photons are not able to eject  out the electrons from the metal.Therefore,albedo of the object will be 90%.
We know very well that for black color number of photons are absorbed highest.Since 90% of photons are absorbed therefore,the best choice of color is black.

Hence,option c is correct.

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(Complete question) is:

if 100 photons of light hit an object, and 90 of them are absorbed, but zero are transmitted, zero are scattered and zero are refracted: what is the albedo of the object, and what is most likely to be its color?

a)10%; black

b)0%; black

c)90%; black

d)90%; white

e)10%; white

The kinetic energy of a 3 kg object moving at a speed of 4 m/s is: please I need it fast

Answers

Answer:

[tex]\huge\boxed{\sf K.E. = 16 \ J}[/tex]

Explanation:

Given data:

Mass = m = 3 kg

Speed = v = 4 m/s

Required:

Kinetic Energy = K.E = ?

Formula:

[tex]\displaystyle K.E. =\frac{1}{2} mv^2[/tex]

Solution:

[tex]\displaystyle K.E. =\frac{1}{2} (3)(4)^2\\\\K.E. =\frac{1}{2} (3)(16)\\\\K.E. = (2)(8)\\\\K.E. = 16 \ J\\\\\rule[225]{225}{2}[/tex]

What is the mass of an 8oz styrofoam cup?

Answers

The mass of an 8oz styrofoam cup is approximately 227 grams .

What is the mass of a substance?

The mass of a substance is a measure of the quantity of matter present in that substance,

The mass of a substance is measured with a chemical balance and is independent of gravity. The SI  unit of the mass of a substance is the kilogram. kg.

Other smaller multiples of the kg include grams, milligrams, centigrams, etc.

Some other unit of measurement of the mass of a substance is ounces (oz), pounds (lb), tonnes (t), etc.

The conversion from ounces to gram is 1 oz = 28.3495 grams

Hence, 8 oz = 8 * 28.3495 grams

8 oz = 226.796 grams or approximately 227 grams

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a 2.50-m segment of wire supplying current to the motor of a submerged submarine carries 1000 a and feels a 4.00-n repulsive force from a parallel wire 5.00 cm away. what is the direction of the current in the other wire?

Answers

The 400 A current flowing through the wire will be going the other way from the other wire.

What sort of force is repulsive?

An electroscope is a straightforward instrument that consists of a metal piece protruding from a glass jar with thin metal leaves suspended inside. This design demonstrates the electrostatic repulsive force. The leaves spread apart by the Coulomb force when a charged body touches the external metal piece.

We will apply the equation to determine the current in the other wire

F/l = µ₀I₁I₂/2πr and solve it for I₂.

The other wire's current will flow in the opposite direction to the first one because the force is repulsive.

I₂ = F.2πr/µ₀I₁l

I₂ = 4×2π×0.05m/4π×10⁻⁷T.m/A×1000A×2.50m

I₂ = 400 A.

The 400 A current flowing through the wire will be going the other way from the other wire.

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The wheel of moving car is driven by the engine. The car is accelerating in the direction
shown. In which direction does the frictional force act on the wheel?

Answers

Answer:

B

Explanation:

always opposing the forward force which is the direction of the acceleration of the car.

when you write a sentence in your notebook with your pencil. Is it a reflex action?

Answers

Answer:

No

Explanation:

Writing a sentence in your notebook with your pencil is not a reflex action because that is not a inborn talent you have to practice so that you can write.

For example moving your hand away when you touch a hot water is a reflex action and you don't have to train yourself to move your hand... in simple its natural

Adding a pet warming pad to the floors so cats can lay on it a

answers:
radiation
convection
conduction

Answers

Answer:

i think it would be radiation since its warming up

hope this helps

please desperate need brainliest

Explanation:

what tangential velocity must block a have so that block b remains at the same height under the table?

Answers

The tangential velocity must block a have so that block b remains at the same height under the table is rw.

Any object moving in a circular motion has a linear speed known as tangential velocity. One full rotation of a turntable will move a point farther from the outside edge than it will from the center. At any point in time, the velocity of a body traveling along a circular path at a distance r from the center is directed tangentially. Tangential velocity is the term used to describe this. In other words, the tangential velocity is always equal to the linear velocity.

[tex]Vtan=Rw\\\\R=path\\\\w=angular- velocity\\\\Vtan=Tangential-Velocity[/tex]

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a 1,698 lb car is traveling at 77 ft/sec (the weight given includes the body and 4 wheels). each of its four 39 lb wheels have a radius of gyration of 9.6 in. the distance from the wheel's center of rotation to the road is 11.5 in. determine what percentage

Answers

Percentage of the vehicle's kinetic energy is stored in the wheels is 9.64%

Kinetic energy is the energy possessed by the object due to its motion. [ It is defined as the work required to accelerate a body of specified mass from rest to a specified velocity. After the body acquires this energy during acceleration, it retains this kinetic energy as long as the velocity does not change. The same work is done when the body slows down from its current speed to rest. Formally, kinetic energy is any term in the Lagrange of a system that includes the time derivative.

 In relativistic mechanics, this is a good approximation only if v is much smaller than the speed of light. The standard unit for kinetic energy is the joule, while the British unit for kinetic energy is the foot-pound.

I = rg2*m

rotational KE of wheels  = 0.5Iω2= 0.5(rg2*m)*(v/r)2

4KE = 2(rg2*m)*(v/r)2 = 2(9.92*34)(792/11.12) = 337588.41

total kinetic of wheel = 4(0.5mv2) + Rotational KE = 761976.41

KE of car = 0.5mv^2 + Rotational KE wheel = 7904800.91

% =(Total KE of wheel / Total KE of car)*100 = 9.64%

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Which object had more kinetic enerjy while it was being lifted?

Answers

The object that had a mass of 4 kilograms and was lifted at a rate of 3 m/s has a greater kinetic energy.

What is the kinetic energy?

We know that the kinetic energy has to do with the energy of an object that is in motion. Thus the kinetic energy is the energy that is said to be possessed by a moving object.

In the first case we have;

Kinetic energy = 1/2 mv^2 = (0.5 * 2 * 2^2)

= 4 J

In the second case;

Kinetic energy =  1/2 mv^2 = (0.5 * 4 * 3^2)

= 18 J

The second object had more kinetic energy.

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What is the efficiency of a 10 hp DC motor that draws 31 amps at 300 volts?

Answers

The efficiency of a 10 hp DC motor that draws 31 A at 300 volts is equal to 80 %.

How to calculate the efficiency of a motor?

The efficiency of a motor can be calculated from the ratio of the mechanical power output to the electric power input to the motor.

Given the horsepower of the DC motor = 10 hp

Conver the hp into watt:

1hp = 745.7 W

Output power = 10 hp = 10× 745.7 = 7457 W

Input power = 31 × 300 = 9300 W

The efficiency of the motor = Output/Input ×100

Efficiency = (7457/9300) ×100 = 80 %

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The genetic researchers at Bay Medical Company are interested in spiders with the trait for medium silk flexibility. They think this silk can be used for medical purposes such as for making stitches and for creating artificial tendons. Why do you think offspring B has the medium silk flexibility trait?

Answers

Bay Medical Company's genetic researchers are interested in spiders with medium silk flexibility. They believe this silk can be employed in medical applications such as stitching and constructing artificial tendons.

What is the genetics of spider silk?

Siblings may inherit various features from their parents and from each other depending on the specific gene combinations that each seeds carries. The variance in silk inflexibility among spider seed is explained by random gene recombination.

The inflexibility of silk is another issue. This point is shared by all of Darwin's dinghy spiders (they all have spider silk with some flexibility), yet some spiders create silk that is more flexible than other spiders' silk. There are three levels of silk inflexibility: high, medium, and low.

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Question 16 During a rocket launch, the action force is considered the force of explosion from the burning fuel and expanding gases. Which of the following would be considered the reaction force? ​

Answers

Answer:

Explanation:

The reaction force to the action force during a rocket launch would be the force exerted by the ground or launch pad on the rocket. The action force is the force of explosion from the burning fuel and expanding gases, which propels the rocket upward. The reaction force is the force exerted by the ground or launch pad in response to this action force, which keeps the rocket grounded and prevents it from moving. The action and reaction forces are equal in magnitude but opposite in direction, and they act on different objects. The action force acts on the rocket, while the reaction force acts on the ground or launch pad.

A green katydid looks very much like a green leaf.


If the katydid above has ten offspring, why might it be advantageous for some to be green, some yellow, and others brown?

Answers

Answer:

because they can all blend in with different surroundings

10. An airplane is flying east at 150m/s. If the forces on the airplane add to 0, describe what will
happen to its motion.

Answers

Answer:k

Explanation:k

k

calculate the angular velocity of a 30 cm radius car tire when the car travels at 30.0 m/s (about 54 km/h).

Answers

The angular velocity of a car tire is 1 rad/s.

What is angular velocity?

Angular velocity is the speed at which the angle between two bodies changes when an object rotates or revolves around an axis. This displacement is depicted in the image by the angle formed by a line on one body and a line on the other.

We know,

Angular velocity = ω = [tex]\frac{V}{R}[/tex]

Given,

V = 30 m/s

R = 30 cm

Putting values in the formula

ω = [tex]\frac{30}{30}[/tex] rad/s

= 1 rad/s.

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how long (in s) does it take a child on a swing to complete one swing if her center of gravity is 4.54 m below the pivot?

Answers

If a child on a swing has a center of gravity 4.54 m just below pivot, it takes her T =4.05s to complete one swing.

What makes gravity a force?

But in a larger sense, gravity is a force because it represents the interaction that happens when two masses are in close proximity to one another. Fundamentally, the warping of reality and the motion of entities through the stretched spacetime are what produce gravitational effects. However, the outcome appears to be the result of applying force.

How is gravity terminated?

Dr. Ryan Stone, played by Sandra Bullock, returns to Earth at the end of "Gravity" and crashes into a lake. After taking off her spacesuit, Dr. Ryan swims towards the surface but initially finds it difficult to stand up straight.

Briefing:

T=2π√(l/g)

T=2π√(4.54/9.81)

T=4.052s

T =4.05s

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In an aneurysm, the cross-sectional area of a vessel expands. With the approximation that blood is non-viscous and incompressible, and that you have a laminar flow, which one of the following is true in the expanded segment, compared to the normal vessel?
a) The velocity is higher.
b) The flow is higher.
c) The density of the blood increases.
d) The velocity is the same.
e) The density of the blood decreases.
f) None of the above.

Answers

No, if The cross-sectional diameter of a vessel increases in an aneurysm. Considering that blood is roughly non-viscous and incompressible and that there is a laminar flow,

Why do liquids not have viscosity?

A non-viscous fluid is one that offers zero resistance to internal friction or has no resistance at all. A fluid is described as being viscous if there is greater flow resistance.

Which substances are viscous?

Because of their high viscosity, some liquid, like pitch, glass, and peanut butter, act like solids. A liquid is referred to as "viscous" in common parlance if it has a viscosity that is clearly higher than water, and "mobile" if it has a viscosity that is noticeably lower.

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a osund source emits sound of frequency 180 hx that travel thorugh still air what is the wavelenfth

Answers

The sound source emits a sound of frequency of 180 Hz, its wavelength is 1.91 m.

The relation between wavelength and frequency of sound is given as

v = f * λ

where, v is the velocity of sound in air

f is the frequency of sound

λ is the wavelength

Given that, frequency of sound is 180 Hz

We know that, speed of sound in air is 343 m/s

Now, let us find out the wavelength of sound in air.

v = f * λ

343 = 180 * λ

λ = 343 / 180 = 1.91 m

Thus, wavelength the  of sound in air is found to be 1.91 m.

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A grocery shopper tosses a(n) 8.7 kg bag of
rice into a stationary 18.1 kg grocery cart.
The bag hits the cart with a horizontal speed
of 5.3 m/s toward the front of the cart.
What is the final speed of the cart and bag?
Answer in units of m/s.

Answers

Answer:

I don't know

Explanation:

I don't know

a dog walks 0.64 km due north. he then runs due west to an ice cream stand. if the magnitude of the dog's total displacement vector is 0.91 km, what is the magnitude of the dog's displacement vector in the due west direction?

Answers

The magnitude of dog's displacement vector in the due west direction is 0.65 km.

It is given that, a dog walks 0.64km due north.

It is also given that the magnitude of dog's total displacement is 0.91 km.

The magnitude of dog's displacement vector in the due west direction can be found by using Pythagoras theorem.

It is mathematically represented as, c² = a² + b²

Given, c = 0.91 km

a = 0.64 km

b =?

Making b as subject, we have,

b² = c² - a²

b = √(c² - a²) = √(0.91² - 0.64²) = 0.65 km

Thus, the magnitude of dog's displacement vector in the due west direction is 0.65 km.

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Two objects, A and B, are pushed across the floor. Object B experiences a greater applied force. Which statement best describes what must be true for Object A to have a greater value of work? (2 points) Group of answer choices Objects A and B are pushed the same distance. Object B is pushed a much smaller distance. Object A is pushed a much smaller distance. Equal forces are applied to Objects A and B.

Answers

The greater value of work for object A can be true if object B is pushed at a much smaller distance. Therefore, option B is correct.

What is the work?

Work can be described as the energy utilized when a force is exerted to move a body through a specific distance. The work done describes both the exerted force as well as the displacement of the object.

The action of the applied force is to move a system in a straight line in the direction of the exerted force over a distance 'd'.

W= F ×d

Where 'd' is the displacement by an object, F' is the exerted force, and W is work done.

Given the force experienced by the object B is greater than object A:

[tex]F_{B} > F_A[/tex]

Now we know that the work done only depends upon the force and distance. In order to have a greater value of the work for object A. Object B is pushed a much smaller distance than object A.

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a typical person has a surface area of about 2m^2 and a layer of fat about 1cm thick (it can vary from 0.5 cm to 1.5 cm) . estimate the rate of heat loss in watts for someone who is lightly dressed sitting in a comfortable room with a temperature of 20 c

Answers

The energy output is 714 Watts is loss.

According to the thermal conductivity equation, the rate of heat loss H is given by:

H=\swhere,

K is the heat conductivity coefficient.

A is for Area of Cross Section.

H = Heat loss rate

Temperature differential between the two sides of the body in the given situation: x-Thickness of the material 71 -1

T = 37°C, or body temperature, and 12°C, or room temperature

initial instance.

A=2m x=0.01 m

H=174watt

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the tea act of 1773 lifted duties on imported tea by india company, thus making imported tea more expensive and, thus, boosting local tea businesses. when unsure as to whether a caller has an actual medical emergency, it is better for the hcp to assume that it is, in fact, an emergency and alert the physician. group of answer choices true false calculate the friction force of a 65 kg person if the coefficient of friction for the ground is 0.47 Suppose z varies directly with x and inversely with the square of y. If z = 12 when x what is z when x = 7 and y = 8? what is z? why did the framers of the constitution put the principles of checks and balances and separation of powers in the constitution? Please helpWhats 9^2-10= establishes standards related to output, it is best to set standards that are a. quantifiable. b. broad c. ethical. d. efficient. e. narrow. If the discrepancy from a 1/d^2 relationship seen in the graph above was caused by ________, then the discrepancy in the positive-negative video will be _________(select from below).a) the same magnitude and direction,b) the same magnitude but opposite directionc) zerod) other (explain)For example, if you thought the scale reading got less and less throughout the first (positive vs positive) video because the lower ball was filling with Helium then you'd predict that it would also get less in the second (positive vs negative) video. Will you need to change the inequality sign in the problem 5x+2+5x which of the following inference tests is not appropriate for a comparison of two means in a causal comparative study?a. The Mann-Whitney U testb. ANOVAc. Chi-Squared. A t test for independent means Can someone help me 3. Fill in the chart describing Jeffersons actions during his presidency (See chart on page 2 in lesson 4.04- Click text version.Limited GovernmentFrugal GovernmentRights of the PeopleAgrarian SocietyNo special display of power Which of the following best describes Teerlincs style in the image above?a.realisticb.somewhat idealizedc.casual How many solutions does the equation -2 (4x 1) = 8x 1 have? What is the frequency of a wave that has a speed of 0.5 m/s and a wavelength of 0.050 meter? 0.5 hertz. 0.008 hertz 20 hertz 10 hertz. 2.Which of the following is NOT a type of virus?a. Bacteriophageb. Lysogenicc. Dinoflagellated. Retrovirus Hello please solve this with steps Factor f(x)=x^3-12x^2+36x-32 completely given that (x-2) is a factor. Antonio is saving money to buy a CD player that costs$120. He also wants to buy some CDs to play in it.New CDs cost $15 and used CDs cost $5. Antoniowants to buy the same number of new and used CDs.Write and solve an equation to find the number of eachtype of CD Antonio can buy if he spends all of the $200he has saved. Let y = (5 +b)x-c be perpendicular to 8x + 12y = 40. What is the value of b? a brokerage account in which the name of a trusted person is required to be requested applies to an account for which of the following? Find the 96th term of the arithmetic sequence 3, -14, -25,