A car of 900 kg mass is moving at the velocity of 60 km/hr. It is
brought into rest at 50 metre distance by applying brake. Now,
calculate the force required to stop the car. [Ans: 2500 N] class 9

Answers

Answer 1

Answer:

2500N.

Explanation:

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A Car Of 900 Kg Mass Is Moving At The Velocity Of 60 Km/hr. It Isbrought Into Rest At 50 Metre Distance
Answer 2

Explanation:

Force = mass × acceleration

Mass = 900kg

Acceleration = velocity ÷ time

Velocity = 60km/hr = 60 × 1000 ÷ 3600

Velocity = 60000 ÷ 3600

Velocity = 16.67m/s

To get the time

Velocity = Distance ÷ time

16.67 = 50 ÷ time

Cross multiply

16.67 × time = 50

time = 50 ÷ 16.67

time = 3 seconds

Acceleration = 16.67 ÷ 3

Acceleration = 5.56m/s²

Therefore, Force = 900 × 5.56

Force = 5004 Newton


Related Questions

What does this same experiment tell you about light waves? Explain the evidence that supports your claim.

Answers

Answer:

Light wave is an EM wave that can only be seen by humans New questions in Physics Engineers at the Space Centre must determine the net force needed for a rockets engine to achieve an acceleration of 70 m/s2.

Explanation:

Explain briefly about viscous force ​

Answers

The viscous force ​refers to the resistance of a fluid to flow.  It is measured in Newton-second per square meter.

The viscous force can be defined as the resistance that a fluid has to flow in a given space.

Viscous force is proportional to the fluid velocity, while this constant is called viscosity.

The viscous force can be measured in Newton-second per square meter (abbreviated as N s/m2).

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A spring has a spring constant of 300 N/m. How much force is in thespring if it is stretched 0.25 m?32

Answers

Force applied is directly proportional to displacement.

It is given by the formula

\(F=-kx\)

Here F is the force , k is the spring constant , x is the displacement.

Substituting the values,

\(F=-300\text{ }\ast0.25\)\(F=-75\text{ N}\)

Fill in the blanks with suitable pronouns.
1. Baby bird learns to fly
2. The two line intersect _______ at the middle position.
3. ______ had the courage to stand against the unjust treatment to the poor.
4. _______ is on the line?
5. smitha works in a gym ____ is my trainer​

Answers

1)Baby bird cannot fly. Their mother has to feed \bf\underline{them}them

2. Vijay likes riding my bicycle. I sometimes lend \bf\underline{it}it to \bf\underline{him}him

3. Sooraj and I are brothers. \bf\underline{we\:both}weboth share the same bedroom.

4. Ravina isn't well. Dad is taking to the doctor. (No personal pronouns required)

5. My sister is a teacher. \bf\underline{She}She teaches Maths.

which would have a greater effect in the kinetic energy of an object: increasing its speed by a factor of 3 or increasing its mass by a factor 3?

Answers

A threefold increase in speed would have a higher impact on an object's kinetic energy than a threefold increase in mass.

Mass or speed, which has a greater impact on an object's kinetic energy?

The kinetic energy of an object can be altered by altering either its mass or its speed. The kinetic energy is affected more by changing the speed than the mass, it should be noted.

What kinetic energy level has the biggest impact?

The greatest impact on the amount of kenetic energy is when the velocity doubles. Explanation: Even though an object's kinetic energy is only doubled when its mass is doubled, its velocity is also doubled.

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A threefold increase in speed would have a higher impact on an object's kinetic energy than a threefold increase in mass.

Mass or speed, which has a greater impact on an object's kinetic energy?

The kinetic energy of an object can be altered by altering either its mass or its speed. The kinetic energy is affected more by changing the speed than the mass, it should be noted.

What kinetic energy level has the biggest impact?

The greatest impact on the amount of kenetic energy is when the velocity doubles. Explanation: Even though an object's kinetic energy is only doubled when its mass is doubled, its velocity is also doubled.

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An electric car accelerates for 8.0 s by drawing energy from its 315-V battery pack. During this time, 1420 C of charge passes through the battery pack. Find the minimum horsepower rating of the car.

Answers

The minimum horsepower rating of the car is 119 hp if an electric car accelerates for 8.0 s by drawing energy from its 315-V battery pack.

The power output of an electric car can be calculated using the equation P = VI, where P is power in watts, V is voltage in volts, and I is current in amperes. To convert watts to horsepower, we can use the conversion factor 1 hp = 746 W.

We are given the voltage of the battery pack as 315 V and the amount of charge that passes through the battery pack as 1420 C. We can use these values to find the current as follows: I = Q/t

where Q is charge in coulombs and t is time in seconds. Substituting the given values, we get: I = 1420 C / 8.0 s

= 177.5 A

We can now calculate the power output as follows: P = VI

= (315 V)(177.5 A)

= 55,687.5 W

Finally, we can convert watts to horsepower by dividing by 746:

P = 55,687.5 W / 746

= 74.7 hp

Therefore, the minimum horsepower rating of the car is 119 hp.

In conclusion, the minimum horsepower rating of the electric car is 119 hp. This was obtained by calculating the power output of the car using the voltage of the battery pack and the amount of charge that passes through it during acceleration.

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Distance between gas molecules in the case of:
-Increase in temperature
-Decrease in temperature
-Increase in volume
-Decrease in volume
-Increase in pressure
-Decrease in pressure

Answers

Answer:

-Increase in temperature: increase

-Decrease in temperature: decrease

-Increase in volume: increase

-Decrease in volume: decrease

-Increase in pressure: increase

-Decrease in pressure: decrease

Explanation:

-Increase in temperature:

● Molecules gain kinetic energy and move fast thus increasing distance

-Decrease in temperature:

● Kinetic energy of molecules decrease so they have smaller distance

-Increase in volume:

● Molecules have more space to move around so distance increase

-Decrease in volume:

● Less space, molecules collide with each other because of decreased distance thus increasing pressure

-Increase in pressure

● Molecules collide with each other and the walls of container increasing pressure so molecules move faster and it increases distance

-Decrease in pressure:

● Molecules collide with each other and walls of container less frequently so distance between molecules decrease

Robinson touches an energized tower for 0.5 s. The surface layer derating factor is found to be 0.75 for a soil resistivity 30 22-m at a distance 0.05 m inside the soil. Find the surface layer resistivity, touch and step potential if the body weight of the Robinson is 50 kg.

Answers

The surface layer resistivity is 44.13Ωm, touch potential is 34.1 kV and step potential is 18.9 kV.

When Robinson touches an energized tower for 0.5 seconds, the surface layer derating factor is found to be 0.75 for a soil resistivity 30 22-m at a distance of 0.05 m inside the soil. To calculate the surface layer resistivity, the formula to be used is;

R=ρ/(2πd√F) here, R = surface layer resistance, ρ = soil resistivity, d = distance from center of footing to infinity, F = soil resistivity derating factor

After inserting the values we get;

R = 30 x 10⁶ / 2π x 0.05 x √0.75R = 44.13Ωm

The formula for touch potential is given as;

Vt = K x I x R

Here, K = 0.035 for 50 kg person

I = 10 kAR = 44.13Ωm

After inserting the values we get;

Vt = 0.035 x 10,000 x 44.13Vt

= 15,460 V

= 34.1 kV (approx)

The formula for step potential is given as;

Vs = K x I x √t

Here, K = 0.065 for 50 kg person

I = 10 kAt = time duration = 0.5 s

After inserting the values we get;

Vs = 0.065 x 10,000 x √0.5Vs = 292.48 V = 18.9 kV (approx)

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Pablo and Jacob are running a half marathon. Jacob is d=54. 9m

behind Pablo, and both are running at the same speed, v0=3. 98m/s
. At a particular moment, Jacob begins to accelerate forward at a constant rate of a=0. 054m/s2

Answers

Jacob will catch up to Pablo in approximately 31.8 seconds.

What is constant rate?

A constant rate is a fixed or unchanging speed at which a process occurs. It is a measurement of how much something changes in a given amount of time. For example, if a car is traveling at a constant rate of 60 miles per hour, it will cover 60 miles in one hour, regardless of any changes in speed or direction.

What is a constant rate example?

An example of constant rate is the speed of a car traveling on a highway with no traffic or other obstacles. As long as the car maintains a steady speed, the rate of its movement remains constant. Another example could be the rate at which a chemical reaction proceeds under stable conditions.

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You watch solid carbon dioxide (dry ice) change into its gaseous form.
is it a chemical or physical change

Answers

Answer:

It is a physical change of state

Explanation:

pls crown

The answer on edgenuity2020 is physical

Q2 Any unwanted component in a signal can be filtered out using a digital filter. 6 samples of a discrete input signal, x[n] of the filter system. [1,9,0,0,1,6] (a) (b) (c) Design a highpass FIR digital filter using a sampling frequency of 30 Hz with a cut-off frequency of 10 Hz. Please design the filter using Hamming window and set the filter length, n = 5. Analyse your filter designed in Q2 (a) using the input signal, x[n]. Plot the calculated output signal.

Answers

To design a highpass FIR digital filter using a sampling frequency of 30 Hz and a cut-off frequency of 10 Hz, with a Hamming window and a filter length of 5, we can analyze the input signal, x[n] = [1, 9, 0, 0, 1, 6], and calculate the output signal by applying the designed filter.

To design a highpass FIR digital filter, we follow these steps:

1. Determine the filter coefficients: Using the desired cut-off frequency and the filter length, n = 5, we can calculate the filter coefficients using appropriate filter design methods such as the windowing technique. In this case, we will use the Hamming window.

2. Apply the filter: Convolve the input signal, x[n], with the filter coefficients. Each output sample is obtained by taking the weighted sum of the input samples and corresponding filter coefficients.

3. Plot the output signal: After applying the filter, plot the calculated output signal to visualize the effect of the filter on the input signal. The output signal will represent the filtered version of the input signal, with unwanted components attenuated.

By designing and applying the highpass FIR digital filter using the given specifications and analyzing the input signal, x[n], we can observe the filtered output signal, which will help in removing unwanted components and preserving the desired frequency content.

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You're riding in an elevator as it is reaching the top floor of a building and then leaving the top floor to go down again. During this time:

Select one:
a. Your apparent weight is greater than your weight.
b. Your apparent weight is less than your weight.
c. Your apparent weight is equal to your weight.

Answers

Answer:

Your apparent weight would be less since your velocity is changing from positive to negative (using up as positive).

If you were in free fall then your acceleration would equal g and the apparent weight would be zero.

Question 4 of 10
Samples of different materials, A and B, have the same mass, but the sample
of B is higher in density. Which statement could explain why this is so?
A. The sample of material B has greater volume than the sample of
material A.
B. The particles that make up material A are more closely packed
together than the particles that make up material B.
C. The particles that make up material B are more closely packed
together than the particles that make up material A.
D. The particles that make up material A have more mass than the
particles that make up material B.
SUBMIT

Answers

The answer is c. The particles of b are more closely packed

Been stuck on this question for quite awhile, a detailed
explanation will be much appreciated! Will give a like :)
We aim to test pesticides' impact on the survival time for bugs. In the experiment, the researchers consider three dose levels (low, medium, high) are applied with the same type of pesticides produced

Answers

These dose levels represent varying concentrations or amounts of the same type of pesticide that is being used. the use of three dose levels with the same type of pesticide in this experiment allows for a comprehensive evaluation of how varying pesticide concentrations affect bug survival time, providing insights into the potential impact of pesticides on insect populations and ecosystems

The purpose of using multiple dose levels is to examine the potential relationship between pesticide dosage and bug survival time. By applying different doses, the researchers can observe if there is a dose-dependent effect, where higher doses result in shorter survival times or increased mortality rates among the bugs. This allows them to understand the potential toxicity or effectiveness of the pesticide at different concentrations.Using the same type of pesticide for all three dose levels ensures that the observed effects are solely attributed to the dose variations and not due to different chemical properties or compositions of the pesticides. This helps in establishing a direct comparison between the dose levels and their impact on bug survival time.By analyzing the survival times of bugs exposed to low, medium, and high doses of the pesticide, the researchers can gather data on the dose-response relationship. This information is valuable in assessing the potential risks and determining the optimal dosage for pest control purposes while minimizing adverse effects on non-target organisms. Overall, the use of three dose levels with the same type of pesticide in this experiment allows for a comprehensive evaluation of how varying pesticide concentrations affect bug survival time, providing insights into the potential impact of pesticides on insect populations and ecosystems.

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Which of the following products will have elastic demand (alcohol, gasoline, travel souvenirs, cigarettes)

Answers

The product among alcohol, gasoline, travel souvenirs, cigarettes that will have elastic demand is cigarettes.

What is elastic demand?

Elastic demand refers to a situation in which a change in the price of a good or service results in a more significant change in the amount demanded. When the percentage change in quantity demanded is greater than the percentage change in price, the demand for the product is said to be elastic.

When the quantity demanded of a product decreases significantly when the price rises, the demand for the product is said to be elastic. Similarly, when a slight change in price causes a significant change in quantity demanded, the demand is said to be elastic. Conversely, if a product's price increases by a small percentage, and the demand for the product decreases by a smaller percentage, the demand for the product is said to be inelastic.

Cigarettes, of all the products listed above, are likely to have an elastic demand.

This is because smokers who are addicted to cigarettes are more likely to quit smoking or reduce their consumption in response to an increase in the price of cigarettes compared to the other goods.

Thus, a slight increase in the price of cigarettes is likely to cause a significant decrease in the number of cigarettes consumed.

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Atoms of the same element will always have the same number of Question Blank but will have different numbers of Question Blank if their mass numbers are different.

Answers

Answer:

proton and neutron respectively.

Explanation:

Atoms of the same element will always have the same number of proton but will have different numbers of neutron if their mass numbers are different.


T/F The outer planets have solid surfaces that are very rocky and dense

Answers

Answer:

False

Explanation:

the inner planets have solid rocky dense surfaces

What is true of a match burned in a closed system?

Answers

Answer:

The match is made of wood or paper, mainly cellulose, a carbohydrate. When it burns, carbon and hydrogen combine with oxygen in the air and go off into the atmosphere. The match loses mass, but the mass goes somewhere else—in this case, the atmosphere. When a match burns, its mass decreases

Explanation:

PLEASE GIVE ME BRAINLIEST IF NEW IT SHOULD SAY NEAR MY ANSWER MARK AS BRAINLIEST IF NOT YOULL HAVE TO WAIT A DAY AND BRAINLY WILL REMIND YOU

Calculate the mass (in kg) of 54.3 m³ of granite. The density of granite is 2700 kg/m³. Give your answer to 2 decimal places.

Answers

Answer:

Explanation:

we know that density =m/v

for mass the equation become

m=d*v

m=2700*54.3

m=146610

m=14.6*10^4

why discharge does not take place at very low pressure ​

Answers

Answer:

read explanation

Explanation:

Due to this reason a gas (air) a conductor of electricity at low pressure. ... It is because when the gas is at very low pressure positive charged ions are not available to eject out the electron from the cathode hence the discharge current stops.No, vacuum cannot conduct electricity.

Determine the attractive force between two point charges +6. 0c and -3. 0c that are 15m apart

Answers

The attractive force between two point charges +6.0 C and -3.0 C that are 15 m apart is -0.0275 N.

The attractive force between two point charges +6.0 C and -3.0 C that are 15 m apart can be calculated by using Coulomb's law.

Coulomb's law: Coulomb's law states that the magnitude of the electrostatic force of attraction or repulsion between two charges q1 and q2 separated by a distance r is given by F = (1/4πϵ₀)(q₁q₂/r²), where ϵ₀ is the electric constant having a value of 8.854 × 10⁻¹² C²/Nm².The force between +6.0 C and -3.0 C separated by a distance of 15 m can be calculated as follows:F = (1/4πϵ₀) × (q1q2 / r²) Where F = electrostatic force of attraction or repulsionq1 = +6.0 Cq2 = -3.0 Cr = 15 mϵ₀ = 8.854 × 10⁻¹² C²/Nm²Substituting the values in the above equation we getF = (1/4πϵ₀) × (6.0 × (-3.0) / (15)²)F = (-0.0275 N).

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the law of conservation of energy​

Answers

Answer:

what are the options

Explanation:

Answer:

The law of conservation of energy is a physical law that states energy cannot be created or destroyed but may be changed from one form to another Although, it may be transformed from one form to another. If you take all forms of energy into account, the total energy of an isolated system always remains constant.

Explanation:

Have amazing day!

Em um fio condutor uma carga de 6.000 C atravessa uma secção transversal em 5 minutos. Determinando-se a corrente no fio, encontraremos o valor de?

Answers

Answer:

I = 20 A

Explanation:

The question says that, "A load of 6,000 C is conducted through a cross section in 5 minutes. Determining-if a current is not correct, we will find the value of?"

We have,

Charge, q = 6,000 C

Time, t = 5 minutes = 300 s

We need to find the current. We know that, the charge flowing per unit time is equal to current. So,

\(I=\dfrac{q}{t}\\\\I=\dfrac{6000}{300}\\\\I=20\ A\)

So, the current flowing through the circuit is 20 A.

Jack and jill travel up a hill at a speed of 2 mi/h. they travel back down the hill at a speed of 4 mi/h. what is their average speed for the entire trip? express your answer as a mixed number.

Answers

Jack and jill travel up a hill at a speed of 2 mi/h. They travel back down the hill at a speed of 4 mi/h. Their average speed for the entire trip is 8/3 mi/h

The average speed is the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity

Let x be the distance of hill from one side.

⇒ Distance for round trip = 2x

Let t1 and t2 be the time taken by them when going and returning back respectively.

Total time taken for round trip = t1+ t2

we have,

speed = distance/ time

⇒time = distance/speed

so, t1 = x/2

t2= x/4

Average speed for round trip = total distance/ total time

\(average speed = \frac{2x}{ \frac{x}{2} + \frac{x}{4} } \)

= 8/3 mi/h

therefore, Their average speed for the entire trip is 8/3 mi/h.

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The free-body diagram of a crate is shown. A free body diagram with 4 force vectors. The first vector is pointing downward, labeled F Subscript g Baseline = negative 440 N. The second vector is pointing right, labeled F Subscript p Baseline = 176 N. The third vector is pointing upward, labeled F Subscript N Baseline = 440 N. The fourth vector is pointing left, labeled F Subscript f Baseline = negative 352 N. The up and down vectors are the same length. The right vector is shorter than the left vector. What is the net force acting on the crate? 352 N to the left 176 N to the left 528 N to the right 440 N to the right

Answers

The net force acting on the crate is determined as 176 N to the left.

Net force acting on the crate

The net force acting on the crate is calculated as follows;

∑F = F1 + F2 + F3 + F4

F(net) = -440y + 176x + 440y - 352x

F(net) = -176 x

The resultant force is pointing in negative x direction.

Thus, the net force acting on the crate is determined as 176 N to the left.

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celeration and Newton's 3 laws:
I
1. A car is traveling at 28 meters per second north; 10 seconds later the car is
traveling 15 meters per second north. What is the car's acceleration?

Answers

The car's acceleration is -1.3 meters per the second square

To solve this, use the first equation of motion v=u+at

where, v = final velocity(meters per second )

           u = initial velocity(meters per second )

           a = acceleration(meters per second square)

           t = time (seconds)

According to the question,

Initial velocity(u) of the car = 28 meters per second

Final velocity(v) of the car  = 15 meters per second

Time  (t) = 10 seconds

Acceleration of the car(a) =?

Substituting the values in equation v =u+at

v= u+at

15 = 28 + ax10

15-28 = 10a

-13 = 10a

a = -13/10

a = -1.3 meters per second square

The car's acceleration is =  -1.3 meters per second square

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The acceleration of this car is equal to -1.3 meters per seconds square (m/s²).

How to calculate the acceleration of this car?

Mathematically, the acceleration of this car can be calculated by using this mathematical expression:

a = (V - U)/t

Where:  

a represents the acceleration measured in meters per seconds square (m/s²).V represents the final velocity measured in meters per seconds (m/s).U represents the initial velocity measured in meters per seconds (m/s).t represents the time measured in seconds.

Substituting the given parameters into the acceleration formula, we have;

Acceleration, a = (15 - 28)/10

Acceleration, a = -13/10

Acceleration, a = -1.3 m/s².

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If your engine is flooded with gasoline, you should push the ____ to the floor and hold for _____.
a. accelerator, 5 seconds
b. accelerator, 1 minute
c. brake, 1 minute
d. brake, 5 seconds

Answers

If your engine is flooded with gasoline, you should push the brake, to the floor and hold for 5 seconds.

What is gasoline?

Gasoline or petrol is a transparent, petroleum-derived flammable liquid that is used primarily as a fuel in most spark-ignited internal combustion engines. Gasoline is already considered frozen if it turns into a thick sludge or wax. To totally avoid frozen gasoline inside the car, focus on preventing the fuel line from freezing during winter. Stale gasoline can be dangerous as it contains a combination of over 150 chemicals that can destroy both animal and human lives. Gasoline vapors are heavier than air, so they settle on the ground and travel like a liquid. Because of this, they often find their way into drains, basements, and sewer lines.

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The most important characteristic in designing the soundproof room is to create walls that

Answers

Answer:

make sound bounce off walls

Answer:

Explanation:

Walls that absorb the sound and dont just bounce or reflect the sound straight back. Like how video makers have foam walls with ridges on their walls.

A robot probe drops a camera off the rim of a 239 m high cliff on Mars, where the free-fall acceleration is -3.7 m/s^2. Find the velocity with which the camera hits the ground.

Answers

Answer:

42.05 m/s

Explanation:

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

Initial velocity (u) = 0 m/s

Height (h) = 239 m

Acceleration due to gravity (g) = 3.7 m/s²

Final velocity (v) =?

The velocity with which the camera hits the ground can be obtained as follow:

v² = u² + 2gh

v² = 0² + 2 × 3.7 × 239

v² = 0 + 1768.6

v² = 1768.6

Take the square root of both side

v = √(1768.6)

v = 42.05 m/s

Therefore, the velocity with which the camera hits the ground is 42.05 m/s


Imagine that person B is more massive than person A in the picture above. 3 points
If they push off of each other with the same amount of force, who will
have the greater acceleration? What law are you applying? Explain how
that law is being applied."

Imagine that person B is more massive than person A in the picture above. 3 pointsIf they push off of

Answers

Answer:bight

Explanation:

Other Questions
Select 4 that apply.Select the qualities that best describe Edward Masterman?39 years oldEnglishmandark complexionGermanvery animatedpaleinexpressive faceFrenchmanolder, retired gentleman you have been requested by the school head to inform fellow prefects about a meeting to be held later that day. draft a memorandum to invite all prefects Consider a combined gas-steam power plant that has a net power output of 240 MW. The pressure ratio of the gas turbine cycle is 11. Air enters the compressor at 300 K and the turbine at 1100 K. The combustion gases leaving the gas turbine are used to heat the steam at 5 MPa to 350C in a heat exchanger. The combustion gases leave the heat exchanger at 420 K. An open feedwater heater incorporated with the steam cycle operates at a pressure of 0.8 MPa. The condenser pressure is 10 kPa. Assume isentropic efficiencies of 100 percent for the pump, 82 percent for the compressor, and 86 percent for the gas and steam turbines.Determine the mass flow rate ratio of air to steam. Use steam tables and the table containing the ideal-gas properties of air.Determine the required rate of heat input in the combustion chamber.Determine the thermal efficiency of the combined cycle. he brain receives nerve impulses from the _____ to help maintain a sense of balance? Suppose LCM(a,b)=7200. 15. Find the smallest possible value of b. occurs when the immune system attacks the body. lupus cancer sicle cell disease huntington's disease Viviana starts saving money for her retirement by making monthly deposits of 150 in a fund that earns a rate i(12) = 6%. The first deposit occurs on January 1, 2005.She loses her job and cannot make the deposits 60, 61, . . . , 72. After that, she continues with monthly deposits of 150.She calculates the value of the fund on January 1, 2029, just after the deposit made that day. Match each root with its meaning.Match Term Definition Port A) To build, form Voc B) To pull Tract C) To be empty Vac D) To carry Struct E) Voice; to call Assume that a procedure yields a geometric distribution where the probability of success is 90. Generally, consumer products require greater adaptation for global markets than do industrial products, especially if they are Blank______. Multiple choice question. basic staples fashionable or faddish technologically complex expensive Solve the triangle. (Standard notation for triangle ABCis used throughout. Round your answer to two decimal places.)b = 18.8, c = 26.5, B = 27.9larger valueA A=C=a=smaller value for AA=C= Please help!! Im being timed SEE BELOW!! 1. What are the reasons why most of the people don't have time for physical activities such as and dancing Give balanced equations for the following reactions. a) Combustion of cyclopentene b) Addition of bromine to 1-butene c) Reaction of nitric acid with benzene d) Addition of sulfuric acid to ethylbenzene. the basic needs standard for a family of four is $420.00. the total income for the smith family of four is $180.00 per month, of which the first $30.00 plus one-third of the remainder is disregarded in determining countable income. the amount of the payment is based upon a reduced standard of 75% of the basic needs standard less the family's countable income. how much will the smith family receive per month if they apply for assistance? What is a wave's wavelength if it wastraveling at 33 m/s and had a frequency of11 Hz? What was the period? Brooks Corporation has a Food Services department that provides food for employees in all other departments of the company. For September, variable food costs were budgeted at $4 per meal, based on 14,000 meals served during the month. At the end of the month, it was determined that 15,000 meals had been served at a total cost of $70,000. What is the amount of the variable food costs that should be charged to the other departments of the company at the end of the month A company desposit $4100 each month into an account that earns 5% interest compounded semi-annually. How much money will the company have accumulated in 5 years? (Assume no interperiod compounding and answer to the nearest dollar) Write the equation of the line passing through the points (28,4) and (-4,-4) a firm's return on equity is 18 percent and its retention ratio is 40 percent. what is its sustainable growth rate?