1. A ball is thrown horizontally at a height of 4.91 m above the ground. It has an initial speed of 16.0 m/s. How long will it take to drop to the ground? How far, measured horizontally from the launch point, will it strike the ground?

Answers

Answer 1

It will take the ball 1 s to drop to the ground

The distance from the launch point where the ball will strike the ground would be 16.0 m.

Projectile motion

We can use the kinematic equations of motion to solve this problem. The vertical motion of the ball can be described using the equation:

h = vit + 1/2g*t^2

where h is the initial height, vi is the initial vertical velocity (which is zero), g is the acceleration due to gravity (9.8 m/s^2), and t is the time taken to fall to the ground. Solving for t, we get:

t = sqrt(2h/g) = sqrt(2*4.91 m/9.8 m/s^2) = 1 s

The horizontal motion of the ball is uniform, since there is no horizontal acceleration. We can use the equation:

d = v*t

where d is the distance traveled, v is the initial horizontal velocity (which is 16.0 m/s), and t is the time taken to hit the ground (which is 1 s). Solving for d, we get:

d = v*t = 16.0 m/s * 1 s = 16.0 m

So the ball will strike the ground 16.0 meters away from the launch point, measured horizontally.

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Related Questions

A vibrating object produces 120 vibrations in 4 seconds. what is the frequency of the object?​

Answers

The frequency of the object, given that it produces 120 vibrations in 4 seconds is 30 Hertz

How do I determine the frequency of the object?

Frequency is defined as the number of complete oscillations made in 1 second. This is illustrated by the following formula:

Frequency (f) = Number of oscillation (n) / time (s)

From the question given above, the following data were obtained:

Number of vibrations (n) = 120 vibrationsTime (t) = 4 secondsFrequency (f) = ?

The frequency can be obtained as follow:

Frequency (f) = Number of oscillation (n) / time (s)

Frequency (f) = 120 / 4

Frequency = 30 Hertz

Thus, we can conclude, the frequency is 30 Hertz

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Missy Diwater, the former platform diver for the Ringling Brothers' Circus had a kinetic energy of 13,700J just prior to hitting the bucket of water. If Missy's mass is 55kg, then what was her velocity at that moment?

Answers

The velocity of Missy, given that she has a kinetic energy of 13700 J and a mass of 55 Kg is 22.32 m/s

How do i determine the velocity?

Kinetic energy is defined mathematically as

KE = ½mv²

Where

KE is the kinetic energym is the massv is the velocity

The following data were obtained from the question:

Kinetic energy of Missy (KE) = 13700 JMass of missy (m) = 55 KgVelocity of missy (v) = ?

The velocity of missy can be obtained as follow:

KE = ½mv²

13700 = ½ × 55 × v²

13700 = 27.5 × v²

Divide both side by 27.5

v² = 13700 / 27.5

Take the square root of both side

v = √(13700 / 27.5)

v = 22.32 m/s

Thus, the velocity is 22.32 m/s

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1) Electrical conductivity (EC) measures the amount of ions in the water; we think of it as the amount of minerals in solution, either calcium, potassium, nitrogen, etc. Over time, has the EC increased or decreased significantly (more than 100 S/cm)? (0.5pt) If so, propose why that may have happened. (0.5pt)



2) Ammonia (NH4) is a waste product of fish. Over time, has NH4 increased or decreased significantly (by 0.25 or greater)? (0.5pt) If so, propose why that may have happened. (0.5pt).



3) Nitrite (NO2-) is a form of nitrogen produced by nitrifying bacteria. Over time, has NO2- increased or decreased significantly (by 5 or greater)? (0.5pt) If so, propose why that may have happened. (0.5pt).



4) Nitrate (NO3-) is a form of nitrogen produced by nitrifying bacteria and is food for plants. Over time, has NO3- increased or decreased significantly (by 10 or greater)? (0.5pt) If so, propose why that may have happened. (0.5pt).

Answers

The capacity of water to transmit electrical current is determined by its conductivity. The quantity of electrical ions in the water has a direct impact on this ability

What is called electrical conductivity?

A material's electrical resistivity, also known as particular electrical resistance or volume resistivity, determines how effectively it opposes electric current. For example, pure water has a high electrical resistivity and is an insulator. A substance that easily permits electric current has a low resistivity. Greek character is often used to denote resistance (rho). The ohm-meter (m) is the SI measure of electrical impedance.

For instance, if the resistance between the sheet contacts on two opposing sides of a solid material square measuring 1 m3 is 1, the material has a resistivity of 1 m.

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Cavendish did his experiment using lead balls. Suppose he had used equal masses of copper instead.
Would his value of G be the same or different? Explain.

Answers

Answer:

The value of G is constant (does not depend on masses M1 and M2)

However, F (force) would be smaller and harder to measure

The gravitational constant is proportional to mass and not density

Cory is driving west in a straight line. After driving for 1.7kilometers, he turns north and drives for 4.3 km. At the end of his drive, what is the magnitude of his displacement vector?

a.3.4 km
b.5.1 km
c.6.0 km
d.4.6 km

Answers

Cory's displacement vector has a magnitude of 4.62 km, which is the closest to the 4.6 km value.

What is a displacement vector's magnitude?

The length of the arrow is a symbol for the displacement vector's magnitude, which represents the distance between the locations. The arrow's direction corresponds to the displacement vector's direction.

What is the displacement magnitude formula?

d = 3 m + 5 m + 6 m = 14 m is the total distance travelled. Visualizing the walking makes it possible to determine the displacement's size. The real distance between A and B is 3 metres, followed by 5 metres from B to D and 6 metres from D to E. |S| =√92+52 = 10.29 m.

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If natural gas were to be our primary way for generating electricity, what effect would this have on individuals and the environment?

Answers

If natural gas were to be our primary way for generating electricity, it would have both positive and negative effects on individuals and the environment.

One of the positive effects is that natural gas is a cleaner-burning fossil fuel compared to coal and oil. It emits less greenhouse gases and pollutants, which can result in improved air quality and human health benefits. Additionally, natural gas is abundant and domestically produced, which can lead to greater energy independence and reduced reliance on foreign oil.

However, there are also negative effects of using natural gas as the primary source of electricity. One of the biggest concerns is the environmental impact of hydraulic fracturing or fracking, which is a common method of extracting natural gas from the ground. Fracking can lead to water contamination, air pollution, and other environmental risks. Additionally, natural gas is still a fossil fuel, which means that it is a non-renewable resource and will eventually run out.

Furthermore, relying on natural gas for electricity generation can also have negative impacts on individuals in terms of energy costs. While natural gas prices have been relatively low in recent years, they can still be subject to price fluctuations, which can result in higher energy bills for consumers. Additionally, natural gas pipelines and infrastructure can be prone to leaks and explosions, which can pose safety risks for nearby communities.

In conclusion, while natural gas can offer some benefits as a primary way for generating electricity, it is important to weigh the potential negative effects on individuals and the environment. Alternative sources of energy such as renewable resources should also be considered to promote a more sustainable and environmentally-friendly energy future.

Answer question in the picture

Answers

The kinetic energy of the roller coaster car is 40, 914. 08 J.

How to find the Kinetic energy ?

The kinetic energy (KE) of a moving object is given by the formula:

KE = ( 1 / 2 ) mv ²

Where m is the mass of the object and v is its velocity.

In this case, the mass of the roller coaster car is 311.11 kg and its velocity is 16.22 m/s. Substituting these values into the formula, we get:

KE = ( 1 / 2 ) ( 311.11 kg )( 16.22 m/s) ²

KE = (0.5) (311.11 kg) ( 263. 02 m ² /s ²)

KE = 40, 914. 08 joules (J)

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In a place where refrigeration is not possible a person attempts to keep a bottom cool by using
the procedure ustrated in Fo.72
damp cloth
bottle
mik
bowl
water
Fig. 7.2
Explain in terms of molecules why this procedure would be success​

Answers

Here, the water in the wet cloth evaporates and make the heat also evaporated and keep the container of milk cool and devoid of microbes.

What is refrigeration ?

Refrigeration is the process of keeping materials in freezing point temperature and the ultimate cooling prevent the microbes attacking  the food materials.

If refrigeration is not possible in a place, we can keep a material cool by placing it in a bowl of water as seen in  the image and the container must be closed by a wet damp cloth.

Here, when the milk bottle is placed in the water bowl and closed by the cloth , water tends to evaporate through the cloth for which heat energy is needed. So it takes away the heat inside by evaporation and keeps the container and material inside cooler.

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Observing and blank are on opposite ends of the secretary function

Answers

Observing and controlling are on opposite ends of the secretary function.

The secretary function is a model used in organizational behavior to describe the process of selecting the best candidate from a pool of applicants. The model assumes that a decision-maker must choose from a fixed number of candidates in random order, without being able to go back and reconsider candidates that have been passed over. The decision-maker can either accept or reject each candidate, but once a candidate is rejected, they cannot be reconsidered.

In this context, "observing" refers to a decision-making style where the decision-maker takes a passive role and simply observes the candidates as they come, without intervening or taking any action. "Controlling," on the other hand, refers to a decision-making style where the decision-maker takes an active role and tries to control the outcome by setting a high threshold for acceptance and rejecting candidates who do not meet that threshold.

Therefore, observing and controlling are on opposite ends of the secretary function, representing two different decision-making styles that can be used when selecting the best candidate from a pool of applicants.

PLEASE HELP ASAP PHYSICS

Answers

The speed of the wave is 4 m/s.

option A.

What is the speed of a wave?

The speed of a wave depends on the type of wave and the medium through which it is traveling. In general, the speed of a wave can be calculated by multiplying the wavelength of the wave by its frequency.

In a vacuum, electromagnetic waves (such as light) travel at a constant speed of approximately 299,792,458 meters per second, which is commonly referred to as the speed of light.

For this given question, if the wave oscillates 4 times per second, then the speed is 4 m/s.

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How much current would be traveling perpendicular to a 2.90 T magnetic field when a force of 57.80 N is present in an 90.70 meter wire?

Answers

A magnetic field is a vector field that explains the magnetic effect on moving charges, currents, and magnetic materials.

What is called magnetic field?

The magnetic field is the area around a magnetic material or a moving electric charge where the power of magnetism works. A diagram of the magnetic field that depicts how a magnetic force is spread within and around a magnetic substance.

The region encircling a magnetic dipole or a moving charge generates a magnetic field. The SI measure of field strength for magnetic fields is Tesla (T). The magnetic field is the region around a magnet where one can feel the magnetic pull.

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A flat coil of wire is placed in a uniform magnetic field that is in the y direction. (i) The magnetic flux through the coil is a maximum if the plane of the coil is where? (Select all that apply. ) in the xy plane in the yz plane in the xz plane in any orientation, because it is a constant (ii) For what orientation is the flux zero? (Select all that apply. ) in the xy plane in the yz plane in the xz plane in any orientation, because it is a constant

Answers

Due to theta's value of 90, flux in the x, y, and z planes will actually be zero. As long as the loop stays within the xz plane, which is parallel to the y axis that provides the most area again for passage of a magnetic field,

Flow = BA cos(theta) It will be at its highest if theta is zero and zero is ninety degrees.

The largest region for a magnetic field to flow through during a loop is situated in the xz plane, where theta is 90, is where flux will be zero in the xy plane and the yz plane.

Flow = BA cos(theta) It will be at its highest if theta is zero and zero is ninety degrees. In this situation, theta is 90, hence flux will indeed be 0 in the x, y, and z planes.

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A person can push a 50 N box 27 meters. If the person uses 300 Watts of power, how much time will it take?

Answers

Answer:

4.5 seconds

Explanation:

For this question, we're gonna use the formula below:

Power = Work / Time

where Power is measured in watts (W), Work is measured in joules (J), and Time is measured in seconds (s).

To solve for Time, we can rearrange the formula as follows:

Time = Work / Power

Now, we need to find the amount of work done in pushing the box:

Work = Force x Distance

where Force is measured in Newtons (N) and Distance is measured in meters (m).

So,

Work = 50 N x 27 m = 1350 J

Now we can substitute the values into the formula for time:

Time = Work / Power = 1350 J / 300 W = 4.5 s

Therefore, it will take 4.5 seconds for the person to push the 50 N box 27 meters using 300 watts of power.

The specific heat capacity of a substance is the energy needed to raise the temperature of 1 __________ of the substance by 1 __________

Answers

The specific heat capacity of a substance is the energy needed to raise the temperature of 1 gram of the substance by 1 degree Celsius.

A substance's specific heat capacity (c), often known as its specific heat, is the amount of heat needed to increase 1 gram of that substance's temperature by 1 degree Celsius (or 1 kelvin). It can be expressed as follows:

c = q/mΔT

where q is the heat supplied, c is the constant of proportionality, called specific heat capacity of the body, m is the mass of the substance, and T is the temperature.

Just the type of substance that absorbs or releases heat determines a substance's specific heat capacity. It is an intense property—it doesn't matter how much of a substance there is; only its type does.

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you push a food tray 1.5m along a cafeteria table with a constant force of 18 N. how much work do you do ?

Answers

Answer:

27J

Explanation:

Work done =force×distance

Therefore

Work done =18×1.5

Work done =27J

If a 550 kg horse is traveling at 20 m/s, how much kinetic energy does it have?

Answers

Answer:

KE = 110000 J

KE = 0.11 MJ

KE = 104.1794917935 [tex]BTU_{mean}[/tex]

KE = 26252.857981585 [tex]cal_{mean}[/tex]

The kinetic energy of a moving body can be calculated using its mass and velocity. The kinetic energy of the horse of 550 kg travelling at 20 m/s is 11000 J.

What is kinetic energy ?

Kinetic energy of an object is generated by virtue of its motion. When the object starts moving its potential energy starts to convert into kinetic energy.

The kinetic energy of an object is related to its mass and velocity as follows:

Ke = 1/2 mv²

Hence, kinetic energy is directly proportional to the mass and velocity.

Given mass of the horse m = 550 kg

velocity = 20 m/s

then, Ke = 1/2 550 kg × (20 m/s)²

Ke = 11000 J.

Therefore, the kinetic energy of the horse is 11000 J.

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Next >
On a transformer with a turn ratio of 72:1, if the power on the primary side is 2 MW, what
is the power on the secondary side?
answer choices:
36 W
2 MW
27.8 MW
36 MW

Answers

Answer:

Explanation:

The power on the primary side of a transformer is equal to the power on the secondary side, neglecting losses. This is because power is conserved in a transformer.

Therefore, if the power on the primary side is 2 MW, then the power on the secondary side will also be 2 MW.

So, the correct answer is: 2 MW.

Miguel is riding a skateboard down the street road 150 m/min. if his velocity remains constant how far will Miguel skate in 3.4 minutes?

Answers

The distance travelled by Miguel in a time of 3.4 minutes is 510 m.

What is meant by constant velocity ?

An object in motion is said to have constant velocity when the object travels equal displacements in equal intervals of time. That means the velocity is not changing with time.

Here,

The velocity of the skateboard, v = 150 m/min

Time taken by Miguel, t = 3.4 min

So,

The distance travelled by Miguel in 3.4 min is,

  s = v x t

  s = 150 x 3.4

  s = 510 m

Hence,

The distance travelled by Miguel in a time of 3.4 minutes is 510 m.

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why is it important to consider the transfer of energy when building a house

Answers

While building a house, it's crucial to take energy transmission into account because homes lose a lot of thermal energy. Radiation, conduction, and convection are three ways they can lose energy.

Why is heat transmission critical in structures?

Buildings must consider heat transfer while designing the fabric of the structure as well as the passive and active systems required to provide the desired thermal conditions with the least amount of resource use.

What alters the way heat moves through buildings?

The three most crucial variables are temperature, moisture content, and density. Thickness, air velocity, pressing, and ageing time are further considerations. The correlation between the key variables and thermal conductivity is shown.

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Think about this hypothetical (not real) situation: Scientist discovered 2 new planets- Planet 11 and Planet Will. Both planets have the exact same diameter. However, Planet 11 has a MUCH stronger force of gravity. What can you infer about the relative MASS of each planet? Explain your answer.
Please answer in a full paragraph! :)

Answers

Based on the information provided, if Planet 11 has a much stronger force of gravity than Planet Will, we can infer that Planet 11 has a greater mass than Planet Will. This is because the force of gravity is directly proportional to the mass of an object. A planet with a greater mass will exert a stronger gravitational force on objects within its vicinity than a planet with a lower mass, assuming the two planets have the same diameter.

This relationship can be explained by the law of universal gravitation, which states that the force of gravity between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them. Therefore, if Planet 11 has a stronger gravitational force than Planet Will, it must have a greater mass, assuming that the distance between the two planets is the same.

In summary, the stronger force of gravity on Planet 11 compared to Planet Will implies that Planet 11 has a greater mass than Planet Will.

Any change in SPEED or DIRECTION is referred to as _____

Answers

Answer:

Acceleration

Explanation:

I just know trust me I have this answer (sorry if I out ice) and I got it right

Answer: I would say the answer to this question is Acceleration

Explanation:

A wheel that has a radius of 70 cm rotates are 5 radians per Second, what is the velocity of the edge of the wheel in Meters per second​

Answers

Answer:Radius =70cm

Distance covered in one rotation = circumference of wheel =2πr

=2×

7

22

×70

=440cm

Distance covered in 300 rotation =300×440

=132000=

100000

132000

=1.32km

Given that distance of 1.32km is covered in 5 minutes or  

60

5

 hour.

Therefore,

Speed of cycle =

time

distance

=

(

60

5

)

1.32

=

5

1.32×60

=15.84km/hr

Explanation:

A closed circuit containing THREE of the same type of resistors has a current of 2 amps and TWO 9V batteries. How much resistance does EACH resistor have, in ohms?​

Answers

The amount of resistance that each resistor has, in this closed circuit, given the batteries is 3 ohms.

How to find the resistance ?

In a closed circuit, the total resistance (R_total) is equal to the sum of the individual resistances. We can use Ohm's law to solve for the resistance of each resistor:

Resistance (R) = Voltage (V) / Current (I)

Using Ohm's law, we can solve for the total resistance (R_total) of the circuit:

= V_total / I

= 18V / 2A

= 9 ohms

Since there are three identical resistors in the circuit, we can divide the total resistance by 3 to find the resistance of each resistor:

= 9 / 3

= 3 ohms

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A circuit is built based on this circuit diagram. A diagram of a closed circuit with a power source on the left labeled 12 V. There are 3 resistors in parallel, separate paths, connected to it labeled 3.0 Ohms, 6.0 Ohms and 9.0 Ohms. What is the equivalent resistance of the circuit? 0.61 Ω 1.6 Ω 7.5 Ω 18 Ω

Answers

The parallel circuit containing three resistors' equivalent resistance is thus found to be 1.64 ohms.

To what end are ohms put?

The electrical resistance measured in Ohms is a measure of a conductor's ability to create a current of one amp when a voltage of one volt is applied across its terminals.

What does ohm mean?

Ohm defines the "1 Ohm" measure of resistance as the distance between two places in a wire where 1 volt would push 1 amp, or 6.241 1018 electrons, when applied. Greek letter "," sometimes known as omega and pronounced "ohm," is typically used to denote this value in schematics.

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Answer:

B or 1.6

Explanation:

Compare the force required to loosen the bolt using the 1/4 ratchet compared to 3/8 ratchet or breaker bar.

Answers

TO be completely fair here when you put these fractions together 3/8 needs more force then 1/4 as 3/8 is already closer to half of 4 as a fraction aka 2/4

A solid will float in a liquid if it is less dense than the liquid, and sink if it is more dense than the liquid. If the density of seawater is 1.025 g/mL, which types of plastics would definitely float in seawater? JUSTIFY your answer.

Answers

Explanation:

Plastics with a density less than or equal to 1.025 g/mL will float in seawater, while plastics with a density greater than 1.025 g/mL will sink.

Here are some examples of plastic densities:

Polyethylene terephthalate (PET) has a density of approximately 1.38 g/mL, so it will sink in seawater.

Polypropylene (PP) has a density of approximately 0.9 g/mL, so it will float in seawater.

High-density polyethylene (HDPE) has a density of approximately 0.95 g/mL, so it will float in seawater.

Polystyrene (PS) has a density of approximately 1.05 g/mL, so it will sink in seawater.

Based on the above examples, we can see that plastics such as polypropylene and high-density polyethylene will definitely float in seawater, while others such as polyethylene terephthalate and polystyrene will definitely sink. Other types of plastics with densities close to 1.025 g/mL may float or sink depending on their exact density and the conditions of the water, such as temperature and salinity.

The momentum of a car traveling in a straight line at 20 m/sec is 24,500 kg times m/sec. What is the cars mass?

Answers

1225 kg.

To solve for the mass, use and derive the following formula for the momentum problem:

p = mv

m = p / v

where:

m is the mass if the object

p is the momentum (24,500 kg•m/s.)

v is the velocity of the object (20 m/s.)

Solution:

m = p / v

m = 24, 500 kg•m/s ÷ 20 m/s

m = 1225 kg.

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What is the answer to this assignment?

Answers

The vertical component of the force vector 42 N is 7.29 N and the  that of the vector B is 26 N. Then the resultant vector is 18.71 N. The equilibrant is the same but opposite in direction ie., - 18.71.

What are vectors ?

Vectors are physical quantities having both magnitude and direction. The quantities with magnitude only are called scalar quantities. Force, work done, displacement , momentum etc are vector quantities.

The resultant of two vectors depends on their magnitude and direction. The given two vectors A and B are in opposite directions. Hence, the resultant vector will be their difference in magnitude.

Vertical component of vector A = 42 cos 80 = 7.29 N

component of vector B = 34 cos 40 = 26 N.

Then, resultant vector = 26 N - 7.29 N = 18.71 N

equilibrant = - 18.7 N.

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A worker applies a force of 1,050 N to move a crate 22 m. How much work has he done?

Answers

Answer:

The work done by the worker can be calculated using the formula:Work = Force x Distance x cos(theta)where theta is the angle between the force and the direction of motion. Since the force is applied in the same direction as the motion, theta is 0 degrees and cos(theta) is equal to 1.So, substituting the given values into the formula:Work = 1,050 N x 22 m x cos(0)Work = 23,100 JoulesTherefore, the worker has done 23,100 Joules of work to move the crate 22 meters with a force of 1,050 N

Explanation:

Two blocks move along a linear path on a nearly frictionless air track. One block, of mass 0.110 kg, initially moves to the right at a speed of 4.60 m/s, while the second block, of mass 0.220 kg, is initially to the left of the first block and moving to the right at 6.90 m/s. Find the final velocities of the blocks, assuming the collision is elastic.

Answers

Answer:

The final velocities of the blocks are 3.00 m/s and 8.50 m/s, respectively.

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Based solely on the cash flows for the next 10 years, how much does the business worth today? Assume an expected rate of 12% Please Do not put s sigh Do not put comma Show your answer with 2 decimals Answer: A business is planning to buy a new machine with following information: Cost of Machine $65,120 Annual Cash Inflow 125,500 90,000 Annual Cash Outflow Required Rate of Return 12% Useful Life 3 years Residual Value 12,000 How much is the NPV of the above investment Please Do not put $ sigh Do not put comma Round your answer with 2 decimals You can afford to pay $6,000 every quarter of the year for 10 years for a loan with 3% interest rate compounded quarterly. What is the maximum you can borrow? Please write your answer with No s sign No comma Round to two decimal places Answer: The manager of a business is considering a purchase of a new machine for $35,000. It expects that for the following five years cash inflow will be $10,000, $20,000, $50,000, $70,000 and $75,000 as its business expands. If the company requires a return of 14% on new investment how much will the net present value of this investment be? Please write your answer with No $ sign No comma round to two decimal places Answer: For a bank loan Of $20,000, with interest rate of 9% compounded annually and the maturity date is in 5 years. How much will the annual payments be? Please Do not put $ sigh Do not put comma Show your answer with 2 decimals Answer: If pressure of a gas is 722.4 torr and the volume is 3.79litre and the temperature is 300K what will be the no of moles?( can the gas eq constant be used in tore and atm) THE 14 BUSINESSES IN A SHOPPING CENTER ELETRICITY BILL. THIS MONT THEY USED 2,996 KILOWATT HOURS OF ELECRICITY HOW MANY KILOWATT HOURS MUST EACH BUSINESSES PAY FOR how does cell signaling instruct cells to form the primary axes of an embryo? Provide a general discussion of the process and then pick one axis and use the organism of your choice to provide a detailed description including molecules involved. what id the Charge of element "X" in X3(PO4)2 A caterpillar climbs 1.3 m up a tree, then 0.72 m right, out onto a limb to eat a leaf. What is the magnitude of the resultant displacement of the caterpillar? A 2.2 m , B1.4 m ,C 1.5 m ,D 1.1 m malia is interested in observing cognitive development in children and wants to design a study that will allow her to observe small changes in how 6 year olds learn to solve problems. she plans to collect data from each child every week for three months which design is her best choice Prove for any real number, |x6|+x>3. Please use proof by cases, explaining each as you go. 14Select the correct answer.What might Paul Laurence Dunbar mean in the following lines from in his poem "We Wear the Mask"?We smile, but, O great Christ, our criesTo thee from tortured souls arise. A.The African American community is pleased with its current situation in life and does not wish to change anything. B. Although they seem unhappy. the African American community is content with life in the United States.O c. Although they smile outwardly. African Americans pray for an end to their o community's struggle. D. The African American community prays for others to go through the same struggles that its members have laced. E. The African American community wants the US government to compensate them for their suffering aS slaves.ResetNext The usa patriot act grants citizens the right to access certain information and records of federal, state, and local governments upon request. Question 5 options: true false The answer can be your opinion whichever factorOf the factors that makes a human a human, which one do you think makes us the most "human"? Write a paragraph explaining your opinion.We have self-awareness and are philosophical. Humans understand we exist on earth and wonder why the sky is blue.We possess spiritual curiosity and awareness.Love it or hate it, we have the capacity for mathematics.We have complex language and communication skills.We walk on two feet and use our hands for many other uses besides getting around and eating.We have the ability to create, play, and dance to music.We create and appreciate all forms of art.We possess creativity and the ability to invent new tools. Meg surveyed some students at her school about their favorite professional sports. Of the students surveyed, 2 said football was their favorite sport, while 8 of the students had other favorite sports. What is the experimental probability that the next student Meg talks to will pick football?