Calculate the work done by a 40 N force pushing a 0.5 kg toy 2.3 m.

Answers

Answer 1

The work done calculated is 92J.

What is work done and how to find it?

Work is considered completed when a force produces motion. There are numerous aspects that affect how well a force performs. One of the aspects is the object's displacement in the force's direction. The second component is force. Work is referred to as the result of an object's displacement plus a force applied in the force's direction. Work is equal to F×S, where F represents force and S represents displacement. When a body is moved by a distance while being subjected to a force, the work done can be calculated by:

W= F×S

Given that,

Force applied= 40N

Displacement= 2.3m

So, on putting the given values in above equation,

W= 40×2.3

W= 92 J

Therefore, the answer is 92 Joule.

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Related Questions

Which type of energy does an object not have if it is not moving?

Answers

Answer:

Explanation:

A motionless object can have energy. The energy that the object has is called potential energy.

Energies it does not have may consist of kinetic energy, gravitational potential energy, elastic potential energy, and chemical potential energy

when a roller coaster gets to the bottom of a descent, describe the energy transfers and changes to energy stores that happen if:
a) the brakes are applied
b) it goes up and over a second hill

Answers

a) At the application of the brakes, there is a conversion of kinetic to potential energy.

b) When it climbs the second hill, the kinetic energy of the roller coaster is now converted to potential energy.

What is the conservation of energy?

Let us recall that according to the principle of the conservation of energy, energy can neither be created nor destroyed but it can be transformed from one form to another. In the roller coaster, we can see the principle of energy transformation at work. This is one of the easiest ways that we could use to be able to describe the conservation of energy.

When a break has been applied in the roller coaster, there is a consversion of energy from kinetic energy to potential energy. Recall that the kinetic energy has to do with the energy that is in motion. This is converted to the potential energy of a stationary roller coaster.

Again when the roller coaster goes up a second hill, there is a change from kinetic to potential energy that the roller coaster would possess at the top of the hill.

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What is the resulting acceleration when a 120 N force acts on an object with a mass of 360kg?

Answers

Answer:

Below

Explanation:

Remember:

F = m a    

F/m = a    =  120 / 360 =  1/3   m/s^2

Which of the following is a true statement about the conservation of energy?

Answers

According to the law of conservation of energy, statement which is true about conservation of energy is that the total energy is always conserved.

What is law of conservation of energy ?

According to law of conservation of energy, it is evident that energy is neither created nor destroyed rather it is restored at the end of a chemical reaction .

Law of conservation of mass and energy are related as mass and energy are directly proportional which is indicated by the equation E=mc².Concept of conservation of mass is widely used in field of chemistry, fluid dynamics.

Law needs to be modified in accordance with laws of quantum mechanics under the principle of mass and energy equivalence.This law was proposed by Julius Mayer in the year 1842.

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A scientist is measuring the height of water hyacinths on 30 ponds. How important is the degree of accuracy of the measurements he gathers? Explain your answers

Answers

The degree of accuracy is very important in the measurement of various heights of water hyacinths on ponds to limit errors from its true value.

What is the importance of degree of accuracy for measuring height of water hyacinths?

The water hyacinths are a type of aquatic plants that grows in shallow ponds, marshes, small streams, lakes and rivers.

The water hyacinths are very useful to the environment as they reduce water pollution and process as animal feed, compost, and bioenergy.

During measurements in experiment, the accuracy of such measurements should be out under consideration to avoid occurrence of errors.

Although the measurement of the water hyacinth would be gotten from 30 ponds, it's necessary to prevent errors by maintaining accurate heights gotten from each pond as it would act as final value at the end of the experiment.

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Two microscopic bags each contain two protons. When separated by distance d, electric force on one due to the other is F. When you transfer a proton from one to another without changing anything else. The electric force now is

Answers

Two microscopic bags each contain two protons. When separated by distance d, electric force on one due to the other is F. When you transfer a proton from one to another without changing anything else. The electric force now is ¾F.

What is electric force?

Electric force is described as the repulsive or attractive interaction between any two charged bodies.

The electric force is one of the various forces that act on objects and has its impact and effects on the given body which is described by Newton’s laws of motion.

The electric force between two electrons is equal to the electric force between two protons when placed at equal distances and this describes that the electric force is not based on the mass of the object, but depends on the quantity known as the electric charge.

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A weight suspended from a spring is seen to bob up and down over a total distance of 14 centimeters triply each second.
8. What is the frequency?
9. What is the period?
10. What is the amplitude?

Answers

8. The frequency of the weight suspended from a spring.is 2Hz.

9. The period is 0.5 seconds.

10. The amplitude is 14cm

What is frequency?

Frequency simply means the number of oscillation in a unit time. It is the rate at which something repeats itself in a second.

In this case, the spring bob up and down 2 times per second. Therefore, Frequency = 2 Hz

The period is the time taken to complete one oscillation. 2 oscillations takes 1 second

1 oscillation = 1/2 seconds.

Period = 0.5 seconds

Amplitude is the the maximum displacement of the spring. In this case the spring bob up 14 cm. This is it's displacement.

Amplitude = 14 cm

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help please

Review the statements below. Select the one that best describes the difference between astronomy and cosmology.

A) Astronomy is a much broader study of the universe as a whole, while cosmology is a more focused study on specific objects or celestial bodies contained within the universe.

B) Astronomy is the study of objects in the universe—how they are formed, their composition, and how they change over time. Cosmology is the study of the entire universe—what objects are contained in the universe, and what is happening to the universe over time, including how it may or may not end.

C) Astronomy is a branch of science that focuses on the beginning, middle, and end of the universe. Cosmology is the study of how objects move, interact, and change.

D) Astronomy is the study of space in general through the use of telescopes and other tools, while cosmology is the study of specific objects in space.

Answers

The statement that best describes what astronomy and cosmology is the option B. That says that astronomy study objects of the universe and cosmology study the entire universe.

What is astronomy and cosmology?

Astronomy is that science that will study the celestial bodies found in the universe such as stars, planets, asteroids, among others. He will study more specifically the components of the universe. While cosmology studies the universe as a whole and its origin, it will study theories such as the big bang theory.

Therefore, we can confirm that the statement that best describes the difference between astronomy and cosmology is that astronomy is the study of objects in the universe—how they are formed, their composition, and how they change over time. Cosmology is the study of the entire universe—what objects are contained in the universe, and what is happening to the universe over time, including how it may or may not end. So the correct option is B.

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Answer:

option B.

Explanation:

A machine works with an efficiency of 20%. The energy input is 200 joules/second. How
much useful energy will the machine generate in 10 minutes?

A. 36 kJ

B. 24 kJ

C. 40 kJ

D. 600 kJ

Answers

The quantity of useful energy which this machine would generate in 10 minutes is equal to: B. 24 kJ.

How to determine the efficiency of a machine?

Mathematically, energy efficiency can be calculated by using this formula:

Energy efficiency = WO/WI × 100

Where:

WO represents the output energy.WI represents the input energy.

For the output energy, we have:

20 = WO/200 × 100

4000 = 100WO

Output energy, WO = 4000/100

Output energy, WO = 40 joules/second.

Note: A minute is equal to 60 seconds.

In 10 minutes, the time is given by:

10 minutes = 10 × 60

10 minutes = 600 seconds.

Now, we can determine the useful energy generated by this machine:

Useful energy = 40 joules/second × 60 seconds

Useful energy = 24,000 Joules or 24 Kilojoules (24 kJ).

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A hamster doing push-ups has a mass of 1 kg and applies force to lift its body 5 cm to complete 0.50 joules of work. If the hamster does this work in 2 seconds, what is its power?

Answers

If the hamster does this work in 2 seconds, its power is equal to 0.25 Watt or Joule per second.

What is work done?

The work done (W) by an object can be calculated by multiplying the force acting on it by the perpendicular distance covered by the physical object. This ultimately implies that, work done (W) and energy (E) have the same unit i.e Joules (J).

Mathematically, the work done (W) by an object can be calculated by using the following formulas:

Work done (W) = force × distance   ..................equation 1.

Work done = power × time            ..................equation 2.

Making power the subject of formula in equation 2, we have:

Power = (Work done)/time

Note: The time is measure in seconds.

Substituting the given parameters into the formula, we have;

Power = (0.50 Joules)/2

Power = 0.25 Watt or Joule per second.

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Which has more kinetic energy, a car of mass 500 kg traveling at 15 m/s or a motorcycle of mass 250 kg traveling at 30 m/s?

Answers

The motorcycle of mass 250 kg traveling at 30 m/s will have the greater kinetic energy.

What is Kinetic energy?

This is the kind of energy possessed by any body that is in motion. It is also known as the moving energy.

From the question,

the mass of the car = 500kg

velocity = 15m/s

Kinetic energy for the car is;

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

K = 1/2 x 500 x 15 x 15

K = 56, 250J

the mass of the motorcycle = 250kg

velocity = 30m/s

Kinetic energy for the motorcycle is;

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

K = 1/2 x 250 x 30 x 30

K = 112, 500J

In conclusion, from calculating for both, the kinetic energy possessed by the motorcycle is higher, that means it has more kinetic energy.

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In Connecticut, the residential electricity rates increased from 20.75 to 26.64 cents per kilowatt-hour over the last year (Source: Electricity Rates by State).

A family goes on vacation for 14 days but forgets to turn off window air conditioning that uses approximately 1,100 watts of electricity to run. If the cost of electricity is 23.75 cents per kilowatt-hour, how much does it cost to run the window air conditioning? Give the answer in $$ (not cents!)

Answers

The cost of running the window air conditioning for 14 days, given that the cost of electricity is 23.75 cents per kilowatt-hour, is $ 87.78

How do I deterrmine the cost for 14 days?

We'll begin by obtaing the energy consumed by the window air conditioning for 14 days. This can be obtained as follow:

Power (P) = 1100 watts = 1100 / 1000 = 1.1 KW Time (t) = 14 days = 14 × 24 = 336 hoursEnergy (E) =?

E = Pt

E = 1.1 × 336

E = 369.6 KWh

Finally, we shall determine the cost of running the window air conditioning. This is shown below:

Cost per KWh = 23.75 cents = 23.75 / 100 = $ 0.2375Energy (E) = 369.6 KWhCost of running for 14 days =?

Cost = energy × Cost per KWh

Cost of running for 14 days = 369.6 × 0.2375

Cost of running for 14 days = $ 87.78

Thus, we can conclude that the cost of running for 14 days is $ 87.78

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A plane flies along a straight line path after taking off, and it ends up 190 km farther east and 80.0 km farther north, relative to where it
started. What is the plane's displacement?
O 141 km
O 210 km
O 270 km
O 110 km
1 2 3 4 5 6 7 8 9 10
Next ▸

Answers

The plane has a 210km displacement value.

The ideal answer is B.

How far is the plane moving?

A plane flies straight after takeoff and ends up 190 km to the east and 800.0 km to the north of where it started.

We should use Pythagoras' Theorem to solve this problem.

Distance 2 is calculated as 190^2 + 80^ = 210 km.

which, when rounded, is equivalent to 210 kilometers.

190^2 + 80.0^2 = 45000

√45000

210KM

The displacement of the plane is 210 kilometers.

An object's positional change is referred to as "displacement." It possesses a magnitude and direction as a vector quantity. It is represented by an arrow that leads from the starting point to the destination. An object's position changes, for example, if it moves from position A to position B.

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a person kicks a ball into the air with a force f0. the figure shows the position of the ball at various times. what is the net force on the ball and its acceleration at the highest point shown?

Answers

Answer:

force=mg+Fo

acceleration=0

Explanation:

URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!

Answers

Wouldn’t it be inertia, because going straight down.

Answer:

The answer is C inertia

Explanation:

This action is a result of the disks.

A body is thrown downwards with a velocity of 10ms. Assuming the acceleration due to gravity
is 10ms calculate its displacement after 2s?

Answers

s(displacement) = 40m ,  when a body is thrown towards with a velocity of 10ms.

What is velocity?

It can be defined as the distance covered by an object in unit time.

What is displacement?

Displacement is defined to be the change in position of an object.

What is acceleration?

Rate at which velocity changes with time, in terms of both speed and direction.

How to calculate displacement after 2s when initial velocity is 10ms?

S = ut + 1/2 at²

where, S = displacement (m)

           u = initial velocity (ms)

           a = acceleration (g=10m/s²)

           t = time (s)

S = 10×2 + 1/2 × 10(2)²

S = 40m

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Circle the letter of the cell layer that produces new phloem and xylem.
A. heartwood
B. sapwood
C. bark
D. cambium

Answers

Answer:

D: Cambium

Explanation:

The Answer is cambium



If a runner maintains a constant speed of 12 km/h, how long will it take to complete a marathon race of 26.2 miles?

Answers

Answer:

below

Explanation:

First, convert 26.2 mi to km = 42.16 km

   then    42.16 km / 12 km/ hr = 3.51 hr   = 3 hr 30.8 m

A 1275 kg car travels 10 meters in 40 seconds. What is the car’s power?

Answers

Using velocity we will get the car’s power is 46.48 m/s.

What is velocity?

velocity is directional speed of a object in motion as an induction of it's rate of change in position observed from a particular frame of reference and as measured by a particular standard of time.

Sol- The linear momentum of a body is defined as the product of its mass and its velocity given by-

P = mv

According to the question the momentum of the truck is-

Pr=2250×25 kgm /s

Pr=56250 kgm/s

Now we can see the momentum of the car and the truck must be same that is Pc=Pr

1210×v =56250 kgm/s

v= 56250/1210

v= 46.48 m/s

Thus the velocity of the car is 46.48m/s .

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Can an object have momentum in space?​

Answers

Answer: Objects in space can have momentum space because momentum depends on mass and velocity. Unlike other quantities, like weight, mass does not change if an object is on space or on Earth.

Explanation: Because momentum depends on mass and velocity and unlike other quantities, like weight, mass does not change if an object is on space or on Earth.

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Answers

Answer:

b

Explanation:

Because the 20kg block has a higher mass it takes more force to move it. Following Newton's first law. An object at rest wants to stay at rest and one moving wants to keep moving. Considering there's more atoms in the higher kilogram block than the smaller one more atoms would want to stay at rest therefore experience more inertia and accelerate slower.

An object is dropped from an unknown height. If it falls for 12.0s, how far
does it fall? (g = -9.81 m/s²)
O-706 m/s²
O -706 m/s
O -706 m
O-706 s
Question 7
4.1 pts

Answers

Answer:

706 m

Explanation:

Since distance is measured in meters (Standard Issued Units) the answer would be 706 m and not any other value.

please respond my question

Answers

The astronomy of the star and the parameters of the star in terms of solar units are;

Radius of the star ≈ 5.03 [tex]R_{Sun}[/tex]

Temperature of the star ≈ 0.92 [tex]T_{Sun}[/tex]

Luminosity of the star ≈ 18 [tex]L_{sun}[/tex]

What is the system for astronomy units?

The astronomical system of units are a special class of units designed for astronomy.

First part;

One solar radius is specified as [tex]R_{Sun}[/tex] = 6.9551 × 10⁵ km

The radius of the star = 3.50 × 10⁶ km

The radius of the star in units of the solar radius is therefore;

Radius = 3.50 × 10⁶ km ÷ (6.9551 × 10⁵ km) [tex]R_{Sun}[/tex] ≈ 5.03 [tex]R_{Sun}[/tex]

Second part;

One unit of the solar temperature, [tex]T_{Sun}[/tex] = 5777 K

The temperature of the star = 5305 K

The stars temperature in units of the solar temperature, is therefore;

Temperature = 5305 K/(5777 K) ≈ 0.92

The temperature of the star in units of the solar temperature is 0.92 [tex]T_{Sun}[/tex]

Third part;

The function for the luminosity of a star, L, is; L = 4·π·R²·σ·T⁴

The luminosity of the star = 4 × π × (3.50 × 10⁶)² × σ × 5305⁴

The luminosity of the Sun = 4 × π × (6.9551 × 10⁵)² × σ × 5777⁴

The solar luminosity of the star = (4 × π × (3.50 × 10⁶)² × σ × 5305⁴) ÷ (4 × π × (6.9551 × 10⁵)² × σ × 5777⁴) ≈ 18

The solar luminosity of the star is 18 [tex]L_{Sun}[/tex]

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A car has a weight of 8000 N. The car is supported by four tyres.
The weight on each tyre is equal.
The area of one tyre in contact with the ground is 150 cm².
Calculate the pressure that one tyre exerts on the ground.
Show your working and give your answer in N/cm².

Answers

Answer: A

Explanation:

when 2cm tall object is placed in front of converging lens,0.5 cm long real image is formed 11cm away from object find its focal length​

Answers

The focal length of the lens is 14.67 cm.

The focal length of an optical device is a measure of how strongly the machine converges or diverges mildly; it's miles the inverse of the system's optical electricity. A wonderful focal length suggests that a system converges mildly, while a negative focal duration shows that the system diverges mildly.

Calculation:-

himage/h object = f-v/f

0.5/2 = f - 11/f

0.25f = f - 11

11 = f - 0.25f

11 = 0.75f

f = 11/0.75

f = 14.67 cm

The focal length ( f ) is the gap from a lens or reflects the point of interest ( F ). this is the distance from a lens or replicates at which parallel mild rays will meet. The focal period of (left) a concave lens (with a negative focal length), (middle) a convex lens and. (right) a concave replicate.

The distance from the center of the lens to the photo focal factor (=image sensor floor) is referred to as the focal period. Its miles are expressed in millimeter (mm) gadgets. A lens with a brief focal duration is an extensive-perspective lens and one with a protracted focal length is a telephoto lens.

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An airplane is taking off from the runway. The airplane accelerates from its initial velocity of 48 m/s and needs to be going 84 m/s in order to be able to take off. They have to take off before they reach the end of the 2965 m. Include known-unknown tables as part of your answer

A. What is the acceleration of the airplane as it heads down the runway?

B. How long does it take for the airplane to reach the end of the runway?

Answers

Answer:

A. The acceleration of the airplane is 36 m/s2.

B. It takes the airplane 82.5 seconds to reach the end of the runway.

C. The final velocity of the airplane is 84 m/s.

The model of the electromagnetic spectrum shows red and violet colors of visible light.

Answers

Answer: Dispersion of visible light produces the colors red (R), orange (O), yellow (Y), green (G), blue (B), and violet (V). It is because of this that visible light is sometimes referred to as ROY G. BIV.

Explanation:

Two styrofoam balls are placed so their centers are 3.2 cm apart. The mass of one ball is twice the
mass of the other ball. The larger ball exerts a gravitational force of 2.63 X 10-12 N on the smaller ball.
Calculate the mass of each ball. (Use GUESS method.) Answer 4.49 X 10-3 kg, 8.99 X 10-3 kg

I was given the answers, I just want to know the working equation

Answers

Answer:

See below

Explanation:

Fg = G m1 m2 / r^2        Fg = force of gravity   and

               G, the gravitational constant =   6.6743x10^-11   m^3/(kg s^2)

m2 = 2 m1   is given, then sub in the values:

2.63 x 10^-12 = 6.6743 x 10^-11 ( m1)(2 m1) / ( .032)^2

results in 2 m1^2 = .00004035059

then m1 = .004491 kg      and m2 is twice this much

mass 1 = 4.49 x 10^-3 kg     as you stated

Monkey Joe is trying to prove how strong he is by pulling a 5000 kg truck. He applies a force of 6000N at an angle of 30 below the horizontal. The coefficient of kinetic friction is 0.01.

Then I need help with all the parts to the question seen in the picture.

Answers

(h) The net force equation for y-direction is F(net)_y = F sinθ

(i) The normal force acting on the truck is 490,000 N.

(j) The force of friction acting on the truck is 490 N.

(k) The net force equation for the x - direction is F(net)_x = Fcosθ  - Ff.

(l) The acceleration of the truck is 0.94 m/s².

What is free body diagram?

A free body diagram (FBD) is a sketch of all the forces acting on object, indicating the direction of the applied force.

            ↑ N

   Ff →   Ф  ← F

            ↓W

where;

N is the normal force on the blockW is the weight of the blockFf is the force of frictionF is the applied force

The net force equation for y-direction is calculated as follows;

F(net)_y = F sinθ

The normal force acting on the truck is calculated as follows;

Fn =  mg

where;

Fn is the normal force on the truck acting upwardsm is mass of the truckg is acceleration due to gravity

Fn = 5000 x 9.8

Fn = 49,000 N

The force of friction acting on the truck is calculated as follows;

Ff = μFn

where;

μ is coefficient of frictionFn is normal force

Ff = 0.01 x 49,000 N

Ff = 490 N

The net force equation for the x - direction is written as;

F(net)_x = Fcosθ  - Ff

where;

F cosθ is the force applied along the x-directionFf is force of friction

F(net) = 6000 x cos(30)  -  490

F(net) = 4,706.15 N

The acceleration of the truck  in the sleeping bag is calculated as follows;

a = F(net) / m

a = (4,706.15) / (5000)

a = 0.94 m/s²

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A customer enters a grocery store with an empty shopping cart that has a mass of 20 kg. Another customer is leaving the store with a shopping
cart full of groceries that has a mass of 40 kg. The two customers accidentally bump their carts together.
Explain whether you agree or disagree with Eve's Mypothesis. Use Newton's third law of motion to support your answer.


Eve observes the accident. She hypothesizes that the cart full of groceries applied more force to the empty cart than the empty cart applied to the
full cart.

Answers

We disagree with Eve's hypothesis that the cart full of groceries applies more force to the empty cart than the empty cart applies on the cart with groceries.

Mass of empty shopping cart = 20 Kg

Mass of cart full of groceries = 40 Kg

Newton's third law of motion states that each action has equal and opposite reaction. Thus, if empty cart exerts a force on the cart full of groceries, then the cart full of groceries should exert same amount of force on the empty cart when two customers accidently bump their carts. Hence, Eve's hypothesis is opposite to Newton's third law of motion.

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although the greedy algorithm is optimal for the us coins, it is not necessarily optimal for any set of coins. a. give an example of a different set of made up coin denominations with different values, for which the greedy algorithm does not yield an optimal solution. your set should include a penny (1 cent) so that there is a solution for every value of n. as before, assume there is infinite availability of each of your coin denomination types. show specifically a counter example in which the greedy algorithm yields a change solution that is not optimal, that is, does not include the fewest number of coins. b. name another algorithmic approach that will find an optimal solution to your example in (a). how many turns of wire would be required to make a 120 mhmh inductance out of a 33.0 cmcm -long air-filled coil with a diameter of 4.1 cmcm ? express your answer using two significant figures. Match the numbers with the correct label. 1. what was the market structure prevalent in the household relocation segment of the indian logistics industry and what are the characteristics? if an action potential could not be received by the atrioventricular node, despite the propagation through sinoatrial node, what do you predict would occur? check all that apply. Which of the following is the correct formula for the margin of error in the interval estimation of p?Multiple Choicez/2p(1p)n1z/2p(1p)n1z/2p(1p)n1z/2p(1p)n1z/2p(1p)nz/2p(1p)nz/2p(1p)n merchants, manufacturers, and ethnic and religious minorities during the colonial era rarely sought favorable policies from the authorities in london as well as from colonial governors and assemblies. question 17 options: 1) false 2) true The printing rate for Printer B is 10 pages more than the rate of printer A because the rate of 25 pages per minute is 10 pages more than the rate 15 pages per minute for Block A what volume of hydrogen is produced, at 567 torr and 24.3c when 4.50 grams of magnesium reacts with excess hydrochloric acid the mixed acid fermentation test uses which reagent to indicate a positive reaction? oxidase catalase methyl red barritt How did most colonial families acquire food? According to McKibben, humans have affected the survival rates of other species. For example, he reports that (select all that apply]: destruction of habitat has made sixty percent of wildlife extinct both koala bears and panda bears are in danger of extinction, with koalas being named as functionally extinct coral reefs have shrunken and will soon be even smaller, one tenth of what they are now birds which make their homes at high altitudes are becoming extinct because of heat if a nitrogen atom and a slightly heavier oxygen atom have equal average speeds, which has the greater kinetic energy? group of answer choices more information is needed. both have the same. nitrogen. oxygen. Why does an increase in gas prices lead to less consumer spending on other items?. Employees at GreenTech Inc. complete their schedules on time as every hour they take in excess may lead to a corresponding loss of pay. Their behaviors are strengthened through _____.a.Avoidanceb.Incentivesc.Positive reinforcementd.Bonus Can a person survive a 200 foot fall into water if a hammer is thrown in first?If a person fell from 200 feet and if a hammer is thrown in first, then What is Religious affiliation and religiosity 04.02 Comparing Functionsi need help asap yall match the following term with the most appropriate definition. - music - interval - melismatic - monophonic - middle ages - great schism - rondeau - magnus liber organi a. a kind of poem with a two-line refrain or chorus b. organized sound c. the distance from one note to another note d. one syllable with many notes e. a period in history which included the absolute authority of the roman catholic church f. the texture of plainchant g. the great book of polyphony h. a divisive period of time in the middle ages when the church had two popes Is r = 10 a solution to the equation 3 (r+5) + 55?