The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s= 2 sin π t + 3 cos π t, where t is measured in seconds.
a. Find the average velocity during each time period:
i (1, 2)
ii. (1, 1.1)
iii. (1, 1.01)
iv. (1, 1.001)
b. Estimate the instantaneous velocity of the particle when t=1.

The position vector at position D is shown by arrow 1, the change in position (displacement) between positions D and F is shown by arrow 2, and the average net force and change in velocity between positions D and F cannot be calculated.

Arrow 1 is a representation of the position vector for position D.

Arrow 2 illustrates the shift (position change) between positions D and F.

Arrow 3 illustrates the undeterminable velocity change between positions D and F.

Arrow 4 denotes the change in momentum from position D to position F. arrow 5 illustrates the indeterminable average net force between positions D and F. The vector's position is.

Arrow 6 displays position E.

Arrow 7 illustrates the positional shift between locations D and E.

Arrow 8 illustrates the difference in velocity between positions D and E.

Arrow 9 depicts the difference in momentum between positions D and E.

The indeterminable average net force between positions D and E is symbolized by arrow 10 and cannot be calculated.

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The question is -

Using the numbered direction arrows shown, indicate (by number) which direction arrow best represents the direction of the quantities listed below. If the quantity has zero magnitudes or cannot be determined, indicate using the corresponding number listed below. The position vector at location D _____ The change in position (the displacement) between location D and location F _____ The change in velocity between location D and location F _____ The change in momentum between location D and location F _____ The average net force between location D and location F _____ The position vector at location E _____ The change in position (the displacement) between location D and location E _____ The change in velocity between location D and location E _____ The change in momentum between location D and location E _____ The average net force between location D and location E.

(a) The energy-system diagram is shown in the picture attached.

(b) The heat energy added is 86,295 Joule.

(c) It takes 144 seconds to complete the process.

We solve the problem with the formula for heat energy.

Heat is the energy that is transferred from higher to lower temperature. The quantity of heat energy (also called thermal energy) can be calculated by

A 150 g piece of ice is converted from -15°C to 50°C in a hot pot. The power rate is 600 Watts.

a. Make the energy-system diagram!

b. Total heat energy added! (Q total)

c. Time to complete the process! (t)

The diagram picture is shown in the attachment. The piece of ice is heated from -15 degrees Celsius to zero by the energy of Q₁. When it reaches zero temperature, the ice is melted by the energy of Q₂. After all the solid ice melts, the liquid water continues to rise in temperature up to 50 degrees Celsius by the energy of Q₃.

The scientific data shows

The total heat energy absorbed is

Qt = Q₁ + Q₂ + Q₃

Qt = mcΔT (ice) + mL (melting) + mcΔT (water)

Qt = m(c_ice × ΔT + L_fusion + c_water × ΔT)

Qt = 150[0.5 × (0-(-15)) + 80 + 1 × (50-0)]

Qt = 150[7.5) + 80 + 50]

Qt = 150[137.5]

Qt = 20,625 calories

Convert the unit from calories to Joule!

Qt = 20,625 × 4.184 Joule

Qt = 86,295 Joule

The time taken to complete the entire process would be

P = Q/t

600 = 86,295/t

t = 86,295/600

t ≈ 144 seconds

Hence, the process in the diagram as shown in the picture attached has the total heat energy of 86,295 Joule. It will take 144 seconds to complete the process.

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Weathering is the process by which rocks break down in place to produce soils and sediments.

The breakdown or dissolving of rocks and minerals on the earth's surface is known as weathering. Carrier of weathering include water, ice, acids, plants, animals and variations in temperature.

Erosion is the movement of soil, rock, or dissolved material from one region of the earth's crust to another, where it is deposited. Weathering, which is a static process, is distinct from erosion.

Rocks break down by the process called weathering. The effect of weathering and erosion cannot be resisted by any rock on Earth due to its softness.

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The maximum height reached by the flea is 1.23 m.

The time of motion of the flea is calculated by applying the following formula.

t = d / v

where;

t = ( 0.5 m ) / ( 1 m/s )

t = 0.5 s

The maximum height reached by the flea is calculated as follows;

h = ¹/₂gt²

where;

h = ¹/₂ x 9.8 x ( 0.5 )²

h = 1.23 m

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The complete question is below:

When jumping, a flea rapidly extends its legs, reaching a takeoff speed of 1.0 m/s over a distance of 0.50 m, what is the maximum height reached by the flea?

The magnitude of the charge is 0.82 * 10-7 C, that can be calculated using the formula for the same.

Electric charge is available in types, which we pick to name high-quality charge and bad charge. This is the importance of the pressure which every fee exerts on the opposite fee (recollect Newton's third law).

Let the charge on each of them be "Q"

Now, electrostatic force of attraction on each of them = (1/4πε)(Q2/0.022)

Also, this force is being acted on each of the spheres, hence,

(1/4πε)(Q2/0.022)  = M*a

9 * 109 * Q2 * 104 / 4 = 10-3 * 150

Q = 0.82 * 10-7 C

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Using the formula for the charge, it can be determined that the charge has a magnitude of 0.92 x [tex]10^{-7}[/tex] C.

There are many kinds of electric charge, which we will refer to as good charge and poor charge. This highlights the significance of the pressure one fee puts on the opposite fee remember Newton's third law.

Let "Q" be the charge on each of them.

Currently, the electrostatic force of attraction between each of them is equal to (1/4)(Q2/0.022).

Additionally, each of the spheres is being affected by this force, so

(1/4πε)(Q2/0.022) = M*a

9 x 109 x Q2 x 104 / 4 = [tex]10^{-3}[/tex] x130

Q = 0.92 x [tex]10^{-7}[/tex] C

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The direction of the direction of the force on the positive charge q will be towards left.

Lets assume that the Q is at the center of a coordinate graph, qa = qb = +7.50 nC are in third and second quadrant and qc = qd = -7.50 nC are in first and fourth quadrant. Then

F = k[-qQ(r₀-r₁)/(r₀-r₁)³ + qQ(r₀-r₂)/(r₀-r₂)³ + qQ(r₀-r₃)/(r₀-r₃)³ + -qQ(r₀-r₄)/(r₀-r₄)³]

According to the vectors

F = kqQ/r²[-(i+j) + (-i+j) + (-i-j) + -(i-j)]

F = kqQ/r²[-i -j + -i + j + -i -j + -i + j]

F = kqQ/r²[-4I]

I vector represent x-axis which is negative towards the left. As we can see that the resultant vector is in the direction of negative i-vector. As we assumed that the Q is at the center of the coordinate graph, so the direction of force will be left to the charge Q. Hence the correct option is C.

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Vehicles and people leaving a C-5 aircraft via the forward or aft ramp must go at least 50 feet in front of the fuselage before turning or 100 feet before coming to a complete stop while executing an ERO operation.

ERO (emergency ramp offload) operations are carried out when the aircraft has to rapidly and safely dump goods and crew. Depending on the kind of aircraft, the location, and other variables, the particular standards and procedures for ERO operations may change. However, in general, it is important to make sure that any vehicles and people leaving the plane keep a safe distance from it and don't obstruct other activities. ERO activities target those who pose a threat to public safety, including gang members and noncitizens with criminal records, as well as those who have otherwise broken the country's immigration rules.

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To calculate electrical resistance for a resistor network first you have to check whether the resistors are in series or parallel connection and then apply the formula of resistance.

R= V/I where V is the potential difference across the conductor (in volts) and I is the current through the conductor (in amperes).

Electrical resistance is the property of an electrical conductor to oppose the flow of electric current. All materials have their own electrical resistance and is represented by R and its SI unit is ohm.

Resistance can be calculated using the Ohm's law. It is defined as the ratio of the applied voltage to the current.

To calculate the total resistance of a network in series connection,

Total resistance = R₁+ R₂+ R₃

To calculate the total resistance of a network in parallel connection,

Total  resistance = 1/R₁+ 1/R₂+ 1/R₃

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The point that should be at higher potential if the particle is an electron is B. The point that should be at higher potential if the particle is an electron is A.

What is meant by electron ?

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Pack B has twice the mass of pack A, and thus twice the kinetic energy, but has the same final velocity as pack A.

a. The ultimate kinetic energy of an object is given by the formula KE = 1/2 × m × v². where m is the object's mass and v is its velocity. Since both pucks are pulled at the same distance by a string of the same tension, the final kinetic energy of both pucks will be the same. However, pack B has twice the mass of pack A, so the final kinetic energy is twice that of pack A. The final velocity of the

b. Object is given by the equation v = √(2 × KE / m). Both packs have the same final kinetic energy, but pack B has twice the mass of pack A, so the final velocity is √(2 × KE / mB) = √(2 × KE / (2 × mA)) = √(KE / mA ), which is the square root of the terminal velocity of pack A.

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The question is -

Puck B has twice the mass of puck A. Starting from rest, both pucks are pulled the same distance across frictionless ice by strings with the same tension a. Compare the final kinetic energies of pucks A and B. b. Compare the final speeds of pucks A and B.

the Hamiltonian operator A quantum system's total energy is described by the operator h, and its temporal development is periodic.

The wave function of a quantum system, represented by the wave function psi, is said to change over time in accordance with the Hamiltonian operator, represented by H, according to the time-dependent Schrödinger equation (TDSE). The equation i/t = H provides the TDSE.

According to the turnover rule, a quantum system's time-evolution has a periodic nature, with a period equal to the reciprocal of the difference in energy eigenvalues between its beginning and final states. The following equation provides the turnover rule:

T = 2π/|Ef - Ei|

By replacing the TDSE into the turnover rule and simplifying, we can demonstrate using the TDSE and the turnover rule that where h is the Hamiltonian operator.

T= 2π/|Hf - Hi|

I / t = H I / t (f / t - I / t) = H f f - Hi I / t (e f - ei) = H f f - Hi

T= 2π/|Hf - Hi|

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A null point is a location in a field where the value of the field is 0 as a result of two or more opposite quantities entirely canceling one another.

A null point is a location in a field where the value of the field is 0 as a result of two or more opposite quantities entirely canceling one another. The field of two positive point charges at point C in the figure is plainly seen to be canceling out and being equal to zero. C is a null point hence.

The null point, sometimes referred to as the null zone or region, is the location when the nystagmus eye movements abruptly calm down and vision becomes clearer. When looking straight ahead at anything or someone, a person with nystagmus may seem to tilt their focus to the right or left, up or down.              

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The air volume is lowered. The quantity of air remains constant, but its volume and pressure decrease as the temperature rises. There is no vacuum formed; the pressure within the container is just lower than the pressure outside.

Pressure is defined as the force applied perpendicular to an object's surface per unit area across which that force is dispersed. Gauge pressure is the pressure in relation to the surrounding atmosphere. Pressure is expressed using a variety of units. Pressure is the force exerted on a surface per unit area. When a force F is applied to area A, pressure P=F/A. Pressure is the force acting on a unit area of a surface. It works perpendicular to the surface under pressure. Pressure = force multiplied by the area on which it operates. The thrust (perpendicular force on a surface) acting per unit area of a body is described as pressure.

Here,

The air volume has been reduced. The volume and pressure of air drop as the temperature rises, but the amount of air remains constant. There is no vacuum created; the pressure within the container is just lower than the pressure outside.

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The coefficient of variation for the 5 sodium control values is 1.61%.

Coefficient is a numerical value used to express the magnitude of a physical quantity in relation to another physical quantity. It is a constant value used to convert one set of units to another set of units, or to express the relationship between two physical quantities.

The coefficient of variation (CV) is a measure of the variability of a set of values relative to its mean. To calculate the coefficient of variation, we need to calculate the standard deviation of the values.
Standard deviation = √((140-138.2)2 + (135-138.2)2 + (138-138.2)2 + (140-138.2)2 + (142-138.2)2 / 5)
Standard deviation = 2.22
Coefficient of variation = (Standard deviation/mean)*100
Coefficient of variation = (2.22/138.2)*100
Coefficient of variation = 1.61%
Therefore, the coefficient of variation for the 5 sodium control values is 1.61%.

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A 500 g air-track glider is fastened to a spring that has been 35 cm extended before being let off. In order for the glider to return to its equilibrium length, the spring must exert 0.45 J of force on it. 8 N/m is the spring constant.

Using the equation for the work a spring does, we can get the spring constant:

Work completed equals (1/2)*k*x2.

In this situation, the spring's displacement is 35 cm, and the work done is 0.45 J. K is the spring constant.

This allows us to determine k: k = (2 * work done) / x.

2 \s k = (2 * 0.45 J) / (35 cm)^2

Divide by 100 k to convert cm to m: (2 * 0.45 J) / (0.35 m).

2 \s k = 8 J/m^2

The spring constant is thus 8 N/m.

The spring stiffness is quantified by the spring constant, or k.

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An object floats in water with 5/8 of its volume submerged. The ratio of the density of the obkect to that of water is 5/8.

What is meant by density ?

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Summer is caused by the tilt of the Earth's axis. The Earth's axis is tilted at an angle of about 23.5 degrees relative to its orbit around the sun. As the Earth orbits the sun, different parts of the Earth receive more or less direct sunlight depending on the tilt of the axis. When the northern hemisphere is tilted towards the sun, it is summer in the northern hemisphere and winter in the southern hemisphere. This is the opposite when the northern hemisphere is tilted away from the sun, it is winter in the northern hemisphere and summer in the southern hemisphere.

Answer: Direct sunlight striking Earth

Explanation: I read it on a book of space.        : D

Receive heat from a high-temperature source and reject heat to a low-temperature sink are the characteristics of all heat engines.

High-temperature sources are materials that can produce and sustain high temperatures. These sources can range from small, localized heating elements to large, complex nuclear reactors. Common high-temperature sources include fossil fuels, such as wood, coal, and oil, as well as nuclear and solar energy. High-temperature sources are used in a variety of applications, including power generation, heating and cooling, and manufacturing processes.

Heat engines transfer heat from a high-temperature source to a low-temperature sink, so they cannot reject heat to a high-temperature sink or receive heat from a low-temperature source.

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The time required for the player to glide 5m after catching the ball would be 0.073 seconds.

What is conservation of momentum principle?

The conservation of momentum principle states that in an isolated system (one in which there are no external forces acting on it), the total momentum of the system will remain constant. This principle is based on the law of conservation of energy, which states that energy cannot be created or destroyed, only transferred or transformed.

To calculate the time required for the player to glide 5m after catching the ball, we need to use the conservation of momentum principle.

The initial momentum of the system (player + ball) is 0, since the player is at rest. After catching the ball, the final momentum of the system is (72 kg) (0 m/s) + (0.145 kg) (18 m/s) = 2.61 kg m/s.

To find the final velocity of the player, we can use the equation:

Final momentum = Initial momentum + Impulse

where Impulse = force x time

The force is equal to the change in momentum of the system divided by the time it takes for the change to occur.

So, Impulse = (2.61 kg m/s - 0) / t

Also, the impulse is equal to the mass of the player multiplied by the change in velocity of the player.

So, (72 kg) (change in velocity of the player) = (2.61 kg m/s - 0) / t

Now we can calculate the time it takes for the player to glide 5m.

change in velocity = final velocity - initial velocity = 5/t

(72 kg) (5/t) = 2.61 kg m/s

t = (2.61 kg m/s) / (72 kg × 5 m/t) = 0.073 seconds

So, the player will glide 5m after catching the ball in 0.073 seconds.

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1. Increase in thrust: The same cause-and-effect relationship applies to a rocket sled. When the thrust of the rocket sled is increased, it will cause an increase in the acceleration of the sled.

Acceleration is the rate at which an object's speed or velocity changes over time. It is a vector quantity, meaning it has both magnitude and direction. Acceleration can be caused by a number of factors, including forces, changes in gravity, or changes in direction. Acceleration is the second derivative of velocity with respect to time, or the rate of change of the velocity vector.

This is because the increased thrust generates more force, which in turn causes the sled to accelerate faster.
2. Increase in weight: The same cause-and-effect relationship applies to a rocket sled. When the weight of the rocket sled is increased, it will cause a decrease in the acceleration of the sled. This is because the increased weight will require more force to accelerate the sled, thus resulting in a slower acceleration.

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The first nation south of the Sahara to achieve independence was Ghana, formerly the Gold Coast, on March 6, 1957.

What took place in Ghana in 1957?

On March 6, 1957, Kwame Nkrumah told the Ghanaian people that they were free and that "our beloved country, Ghana, is free forever." He also emphasized that "the African People are capable of administering their own affairs." Sub-Saharan Africa's first nation to attain independence from European colonial domination was Ghana.

Up until 1960, Ghana was a constitutional monarchy and parliamentary democracy. Following a national vote, Ghana was then proclaimed a republic. Following the Soviet example, the Second Development Plan (1959–1964) switched away from increasing state services and toward increasing productivity in the important sectors. In 1959–1964, expansion of secondary schools, as well as of vocational and higher education, became a top goal.

If Ghana was to play its leadership role in the liberation of Africa from colonial and neo-colonial rule, government spending on road building projects, mass education of adults and children, health services, and the construction of the Akosombo Dam were all crucial. Increases in the price and output of cocoa, gold, and oil during the past 30 years have contributed to Ghana's transformation: real GDP growth has quadrupled, extreme poverty has decreased by half, and in 2011, Ghana was upgraded to a lower middle-income country status.

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Based on the information provided, his position when he is at a car will be -13 west.

The distance can be found by adding smaller distances as shown below:

Distance from the house to the wheelbarrow: 11 meters

Distance from the wheelbarrow to the car: 2 meters

11 meters + 2 meters =  13 meters

This means the magnitude is 13 meters.

Based on the map, the direction is west, and considering this goes to the left this would be negative, making his position -13 west.

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What is the capacitance of the parallel plate:
The capacitance of the parallel plate cannot change when it is isolated because it is determined by the physical characteristics of the plate, such as its area, distance between plates, and permittivity of the material between them. These characteristics do not change when the plate is isolated.

Capacitance is a measure of the ability of a component or system to store electrical energy. It is the ratio of the electric charge on a conductor to the potential difference between its ends. The unit of capacitance is the Farad (F). Capacitors are components that are used to store electrical energy and are found in many electronic circuits. They consist of two conductive plates separated by an insulating material called a dielectric.

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The correct statements are options given below:

(The complete question is attached below)

Under these considerations the correct answers would be

2. Sodium ions from the salt water on your hand moved onto the sphere

4. The excess negative charge from the sphere spread out all over your body

6. Electrons from the sphere moved into the salt water on your skin, where they reacted with sodium ions

7. After you touched it, the metal sphere was very nearly neutral.

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The structure that is on the ventral side of the heart, located more laterally within the axial region is axillary lymph nodes.

The axillary lymph nodes are lymph nodes located in the human armpit. They drain lymph vessels from the lateral quadrants of the breast, superficial lymph vessels from the thin walls of the chest and abdomen above the level of the navel, and upper limb vessels.

They are classified into several groups based on their location in the armpit. These lymph nodes are clinically significant in breast cancer, and metastasis from the breast to the axillary lymph nodes is taken into account in disease staging.

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The most basic equation is GPE = m*g*h. GPE = gravitational potential energy in that location (joules j) m = kilogrammes of mass (kg) G stands for gravitational acceleration (m/s2). h = height change h.

In physics, energy is the quantitative quality that is transferred to a body or to a physical system. It is recognised in the execution of work as well as in the form of heat and light (from the Ancient Greek: v, enérgeia, "activity"). Energy is a preserved resource; according to the rule of conservation of energy, energy can only be transformed from one form to another and cannot be created or destroyed. The joule is the SI's (International System of Units) unit of measurement for energy (J). A moving object's kinetic energy, a potential energy stored by an object (for instance because of its position in a field), the elastic energy contained in a solid object, chemical energy linked to chemical reactions, radiant energy carried by electromagnetic radiation, and internal energy contained within a thermodynamic system are examples of common forms of energy. Energy is constantly being consumed and expended by all living things.

Any stationary object that has mass (referred to as rest mass) also has an equivalent amount of energy (referred to as rest energy), and any additional energy (of any form) that the object acquires above that rest energy will increase the object's total mass just as it increases its total energy. This is known as mass-energy equivalence.

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The approximate shortest road miles distance from yosemite lodge to mirror lake is 3 miles.

What is meant by distance?

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The most likely resource to be mined from the plant remains buried in eastern Montana during the Cretaceous would be fossil fuels.

Montana is a state in the western region of the United States. It is bordered by North Dakota to the east, South Dakota and Wyoming to the south, Idaho to the west, and the Canadian provinces of British Columbia, Alberta, and Saskatchewan to the north.

Fossil fuels are formed from the remains of plants and animals which have been buried and subjected to high temperatures and pressures over millions of years. The remains of plants buried in eastern Montana during the Cretaceous period would have been subjected to these conditions and thus may contain deposits of fossil fuels such as oil and natural gas.

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The possible frequencies of the guitar string are 488 Hz and 536 Hz.

The possible frequency or frequencies of the guitar string is calculated by applying beat frequency formula.

Fb = Ft - Fg or

Fb = Fg - Ft

where;

Fg = Ft - Fb

Fg = 512 Hz - 24 Hz

Fg = 488 Hz

Fg = Fb + Ft

Fg = 24 Hz + 512 Hz

Fg = 536 Hz

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Meta-analysis includes all of these such as systematic inclusion and exclusion criteria for studies, multiple, systematic searches to identify studies which answer a focused question, only quantitative studies are included in this. Thus, the correct option is B.

A meta-analysis is a statistical analysis which combines the results of multiple scientific studies. Meta-analyses of anything can be performed when there are multiple scientific studies available which are addressing the same question, with each of the individual study reporting measurements which are expected to have some degree of error in it.

The subjects from all the studies were pooled and statistically analyzed to determine the effect of the one thing such as relationship between wearing sunscreen and melanoma. This meta-analysis has been found to show a 50% reduction in the melanoma diagnosis among the sunscreen-wearers.

Therefore, the correct option is B.

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Your question is incomplete, most probably the complete question is:

Which of the following describe meta-analysis?

A. Systematic inclusion and exclusion criteria for studies

B. All of these

C. Multiple, systematic searches to identify studies that answer a focused question

D. Only quantitative studies are included

E. None of these