Answer:
The weight of the person decreases.
Explanation:
Weight of person at sea level = 700 N
height = 10000m
We know that the weight is given by product of mass and the acceleration due to gravity.
The acceleration due to gravity at height is given by
\(g' =g\times \left ( \frac{R}{R+h} \right )^2\)
Where, R is the radius of earth and h is the height.
Now, as we go on heights , the acceleration due to gravity decreases, so the weight also decreases as we go on heights.
Michael has a constant elasticity of substitution (CES) utility function, U(q 1
,q 2
)=(q 1
rho
+q 2
rho
) rho
1
, where rho
=0 and rho≤11 14
Given that Michael's rho<1, what are his optimal values of q 1
and q 2
in terms of his income and the prices of the two goods? Answer 1. Substitute the income constraint into Michael's utility function to eliminate one control variable. Michael's constrained utility maximization problem is max q 1
,q 2
U(q 1
,q 2
)=(q 1
rho
+q 2
rho
) rho
1
s.t. Y=p 1
q 1
+p 2
q 2
We can rewrite Michael's budget constraint as q 2
=(Y−p 1
q 1
)/p 2
. Substituting this expression into his utility function, we can express Michael's utility maximization problem as: max q 1
U(q 1
, p 2
Y−p 1
q 1
)=(q 1
rho
+[ p 2
Y−p 1
q 1
] rho
) 1/rho
. By making this substitution, we have converted a constrained maximization problem with two control variables into an unconstrained problem with one control variable, q 1
2. Use the standard, unconstrained maximization approach to determine the optimal value for q 1
. To obtain the first-order condition, we use the chain rule and set the derivative of the utility function with respect to q 1
equal to zero: rho
1
(q 1
rho
+[ p 2
Y−p 1
q 1
] rho
) rho
1−rho
(rhoq 1
rho−1
+rho[ p 2
Y−p 1
q 1
] rho−1
[−− p 2
p 1
])=0 Using algebra, we can solve this equation for Michael's optimal q 1
as a function of his income and the prices: 15 (3.18) q 1
= p 1
1−σ
+p 2
1−σ
Yp 1
−σ
where σ=1/[1−rho]. By repeating this analysis, substituting for q 1
instead of for q 2
, we derive a similar expression for his optimal q 2
: (3.19) q 2
= p 1
1−σ
+p 2
1−σ
Yp 2
−σ
Thus, the utility-maximizing q 1
and q 2
are functions of his income and the prices.
The optimal values of \(q_1\) and \(q_2\) are determined by these equations, which are functions of Michael's income and the prices of the goods.
The given problem describes Michael's utility maximization problem with a constant elasticity of substitution (CES) utility function. The objective is to find the optimal values of \(q_1\) and \(q_2\) in terms of Michael's income (Y) and the prices of the two goods (\(p_1\) and \(p_2\)).
1. Substitute the income constraint into Michael's utility function:
\(U(q_1, q_2) = (q_1^\rho + q_2^\rho)^(1/\rho)\)
s.t. \(Y = p_1q_1 + p_2q_2\)
We can rewrite Michael's budget constraint as \(q_2 = (Y - p_1q_1)/p_2\). Substituting this expression into his utility function, we have:
\(U(q_1, p_2, Y) = (q_1^\rho + [p_2(Y - p_1q_1)/p_2]^\rho)^{(1/\rho)\)
By making this substitution, we have converted the constrained maximization problem with two control variables (\(q_1\) and \(q_2\)) into an unconstrained problem with one control variable \((q_1)\).
2. Use the standard unconstrained maximization approach to determine the optimal value for \(q_1\). To obtain the first-order condition, we differentiate the utility function with respect to \(q_1\) and set it equal to zero:
\(\delta U / \delta q_1 = \rho(q_1^{(\rho-1)} + \rho[p_2(Y - p_1q_1)/p_2]^{(\rho-1)}(-p_1/p_2)) = 0\)
Simplifying and solving for \(q_1\):
\(\rho q_1^{(\rho-1)} - \rho(p_1/p_2)[p_2(Y - p_1q_1)/p_2]^{(\rho-1)} = 0\)
\(\rho q_1^{(\rho-1)} - \rho(p_1/p_2)[Y - p_1q_1]^{(\rho-1)} = 0\)
\(\rho q_1^{(\rho-1)} = \rho(p_1/p_2)[Y - p_1q_1]^{(\rho-1)}\)
\(q_1^{(\rho-1)} = (p_1/p_2)[Y - p_1q_1]^{(\rho-1)\)
\(q_1^{(\rho-1)} = (p_1/p_2)^{(1-\rho)}[Y - p_1q_1]^{(\rho-1)}\)
\(q_1^{(\rho-1)} = (p_1/p_2)^{(1-\rho)}(Y - p_1q_1)^{(\rho-1)}\)
\(q_1^{(\rho-1)} = (p_1/p_2)^{(1-\rho)}(Y^{(\rho-1)} - (\rho-1)p_1q_1(Y - p_1q_1)^{(\rho-2)})\)
This equation represents Michael's optimal \(q_1\) as a function of his income (Y) and the prices (\(p_1\) and \(p_2\)).
3. Similarly, we can derive a similar expression for his optimal \(q_2\):
\(q_2^{(\rho-1)} = (p_2/p_1)^(1-\rho)(Y^{(\rho-1)} - (\rho-1)p_2q_2(Y - p_1q_2)^{(\rho-2)})\)
This equation represents Michael's optimal \(q_2\) as a function of his income (Y) and the prices (\(p_1\) and \(p_2\)).
Therefore, these equations, which depend on Michael's income and the prices of the commodities, determine the ideal values of \(q_1\) and \(q_2\).
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A student wants to keep their coffee hot they have a choice of putting it in a silver drinks container or a blacks drinks container. Which would you reccomend to the student and why
Answer:
black
Explanation:
because in a more lighter color like sliver. it actually makes it cold, whilst you have black it actually keep it hot and this is the same with anything. clothes mostly cause of darker clothing make us warm and all while white is all cool.
Joe pushes a 12,000 N car, starting from rest, with a force of 310 N for 20 seconds. (a) What is the magnitude of the car's acceleration? (b) How much force would be needed to stop the car in a distance of 30 m?
The acceleration of the car can be obtained as 0.26 m/s^2. The force required to ove it a distance of 30 m is 11760 N.
What is the acceleration?We know that the acceleration is the change in the velocity of the object with time. Now we know from the Newton law that the force is the product of the mass of the object and the acceleration.
Now we have that;
weight = mass * acceleration due to gravity
mass = weight/ acceleration due to gravity
mass = 12,000 N / 10 m/s^2
= 1200 Kg
The we know that;
Force = mass * acceleration
acceleration = Force/mass
= 310 N/1200 Kg
= 0.26 m/s^2
For the force that that is needed to move the car a distance of 30 m we have;
F = ma
= 1200 Kg * 9.8 m/s^2
= 11760 N
This is the force that ca move the object forward.
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How much heat is required to warm 230 g of water from 12°C to 90°C?
(Specific Heat of Water = 4.184)
A string is being pulled with a force of 20 N and moves a 5 kg block to the left at a constant speed. What is the coefficient of friction for between the floor and the block? Enter your answer as a decimal value (Example: 0.72) * I think the answer is 20 but this question is starting frustrating me
Answer:
μ = 0.4
Explanation:
As, the object is moving at a constant speed. Therefore, the unbalanced force on it must be equal to zero. So, the frictional force on the object must be equal to the force applied to it:
F = frictional force
F = μR = μW = μmg
where,
F = Applied Force = 20 N
μ = coefficient of friction between wall and floor = ?
m = mass of block = 5 kg
g = 9.8 m/s²
Therefore,
20 N = μ(5 kg)(9.8 m/s²)
μ = 20 N/49 N
μ = 0.4
a gardener mounts a pot plant on the wall using a metal ring and a chain the ring exerts a horizontal force of 20n on the pot plant and the weight of the pot plant is 30n determine the magnitude of the chain by calculation and construction
The magnitude of the force exerted by the chain is 36.1 N.
Resultant forcesThe magnitude of the force exerted by the chain must balance the force exerted by the ring and weight of the pot.
The magnitude of the force exerted by the chain is calculated by applying Pythagoras theorem;
\(F_3^2 = F_1^2 + F_2^2\\\\F_3 = \sqrt{F_1^2 + F_2^2} \\\\F_3 = \sqrt{20^2 + 30^2} \\\\F_3 = 36.1 \ N\)
Thus, the magnitude of the force exerted by the chain is 36.1 N.
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How much force is necessary to stretch a spring 0. 5 m when the spring constant is 190 N/m? N.
Statement:
A force is necessary to stretch a spring 0.5 m when the spring constant is 190 N/m.
To find out:
The force required to stretch the spring.
Solution:
Spring constant (k) = 190 N/m.Displacement (x) = 0.5 mLet the force necessary to stretch the spring be F.We know the formula of spring force, i.e., F = kx.Putting the values in the above formula, we getF = 190 N/m × 0.5 mor, F = 95 NSo, the force required to stretch the spring is 95 N.Answer:
95 N
Hope you could understand.
If you have any query, feel free to ask.
Calculate the current in the above circuit.
Answer:
4 A
Explanation:
From the question given above, the following data were obtained:
Voltage (V) = 12 V
Resistance (R) = 3 Ω
Current (I) =?
From ohm's law,
Voltage (V) = Current (I) × Resistance (R)
V = IR
With the above formula, we can obtain the current flowing in the circuit as illustrated below:
Voltage (V) = 12 V
Resistance (R) = 3 Ω
Current (I) =?
V = IR
12 = I × 3
Divide both side by 3
I = 12/3
I = 4 A
Therefore, the current flowing in the circuit is 4 A.
5. What color of visible light will have a frequency of 6.20 x 10¹4 Hz? Show your
work. Remember! 1 meter = 10° nanometers
Please help with this problem
Mineralogically, barite is a sulfate, bornite is a sulfide, cuprite is an oxide, magnesite is a carbonate.
Which minerals fall under the main categories?Based on their chemical compositions, scientists divide minerals into groups. Nine major mineral classes were originally specified in the Dana Classification System: Native Elements, Sulfides, Sulfates, Halides, Oxides, Carbonates, Phosphates, Silicates, and Organic Minerals.There are four basic types of mineral formation: (1) igneous, or magmatic, when minerals form crystals from a melt, (2) Sedimentary, where minerals are produced by a process called sedimentation that uses fragments of other rocks that have suffered weathering or erosion as their raw material, and (3) Metamorphic.Mineralogically, barite is a sulfate, bornite is a sulfide, cuprite is an oxide, magnesite is a carbonate.To learn more about minerals refer to:
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Among the mineral groups, barite is a sulfide mineral, bornite is a sulfide mineral, cuprite is an oxide mineral, and magnesite is a carbonate mineral.
What are the different mineral groups?Scientists mainly classifies the minerals based on their chemical compositions. The Dana Classification System originally defined nine major mineral classes: Native Elements, Sulfides, Sulfates, Halides, Oxides, Carbonates, Phosphates, Silicates, and Organic Minerals.There have been mainly four basic types of mineral formation: (1) igneous, or magmatic, in which minerals form crystals from a melt, (2) sedimentary, in which minerals are produced by a process called sedimentation, which uses fragments of other rocks that have weathered or been eroded as their raw material, and (3) metamorphic.Barite is a sulfate, bornite is a sulfide, cuprite is an oxide, and magnesite is a carbonate mineral.To learn more about minerals refer to :
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A car with a mass of 1,200 kg travels a distance of 150 m as it moves from
one stoplight to the next. At its fastest, the car travels at 22 m/s. What is its
kinetic energy at this point?
A. 290,400
B. 8,872 J
C. 580,800 J
D. 13,200 J
Answer:
A. 290,400
Explanation:
The kinetic energy of a car is 290,400J.
How to find Kinetic energy?Kinetic energy is directly proportional to the mass of the object and to the square of its velocity: K.E. = 1/2 m v2.
ke = 1/2mv^2
By using the formula, we get
= 1/2 * 1200 * 22^2
= 600 * 484
= 290,400 J
Kinetic energy is a form of energy that an object or a particle has by reason of its motion. If work, which transfers energy, is done on an object by applying a net force, the object speeds up and thereby gains kinetic energy.
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how far is a lightyear
A lightyear is a unit of distance, specifically the distance light travels in one year. That distance is about 9,460,730,472,580.8 kilometers, or 5,878,625,373,183.6 miles.
What is distance?
Distance is a measurement of the space between two objects or points. It is a scalar quantity that is commonly measured in feet, yards, meters, or kilometers. Distance can refer to the physical space between two points, such as the distance between two cities, or the length of a road. It can also refer to the space between two objects, such as the distance between two planets. Distance is an important factor in physics, as it is used to calculate the speed and velocity of a moving object. Distance can also be used to calculate the amount of energy required to move an object or the amount of time it takes for a sound wave to travel between two points.
Therefore, That distance is about 9,460,730,472,580.8 kilometers, or 5,878,625,373,183.6 miles.
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How can the density of an object be determined?”
Answer:
First you need to know the mass (grams) of the object and its volume, then what you do is Divide the mass by the volume in order to get an object's Density.
Explanation:
hope that helped good luck :)
Answer:
m/p, aka mass/volume.
Explanation:
for example if you had an object that had a mass of 10 and volume of 5, the density of that object would be 10/5, or 2.
What is meant by net force?
whats an example of newtons 3rd law?
Answer:
Newton's Third Law states that "For every action, there is an equal and opposite reaction." An example of this law is the following scenario:
Imagine you are pushing a heavy box across the floor. According to Newton's Third Law, the box will exert an equal and opposite force back on you, making it harder to push. The more force you apply to the box, the greater the force it will exert back on you. This reaction force is what makes it difficult to push the box. The same idea applies when jumping off a diving board or jumping on a trampoline - the force you apply to the board or trampoline is equal and opposite to the force it applies back on you.
Jupiter takes 9.9259 hours to rotate on its axis and has a tangential speed of 12,293 m/s. What is the radius of Jupiter? 7,781.6 km 19,420 km 48,893 km 69,912 km
The radius of Jupiter is 11.37 × 10^6 km (approx).
The correct answer to the given question is option D.
Jupiter is a giant planet in our solar system and takes 9.9259 hours to rotate on its axis. The tangential speed of Jupiter is given to be 12,293 m/s. We are required to find out the radius of Jupiter.
Given Data:
Rotation period of Jupiter, T = 9.9259 hours
Tangential speed of Jupiter, v = 12,293 m/s
Formula Used:
Radius of Jupiter, r = v × T / (2π)
Calculation:
We can find the radius of Jupiter using the above formula.
Substituting the given values in the formula, we get:
r = 12,293 × 9.9259 × 60 × 60 / (2π)r = 71,492,602.68 / (2π)r = 11,371,641.26 km ≈ 11.37 × 10^6 km.
Therefore, the radius of Jupiter is 11.37 × 10^6 km (approx).
Hence, the correct option is 69,912 km.
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what is the domain of
I am made of many cells. My cells have
An organized nucleus.
I mostly have two parents, but
sometimes one. I make my own food
who am i?
Answer:
Eukarya
Explanation:
Only organisms of domain eukarya have an organized nucleus
Momentum is a product of mass and _____.
Answer:
Momentum, product of the mass of a particle and its velocity. ... Momentum is a vector quantity; i.e., it has both magnitude and direction. Isaac Newton's second law of motion states that the time rate of change of momentum is equal to the force acting on the particle.
The loud explosive noise a plane makes when we hear the shock wave that comes from it when it is traveling at or above the speed of sound is called ______________.
Answer:
Sonic boom.
When something breaks the sound barrier. (Moves faster than sound, like lighting)
Explanation:
Try flying a plane.
Starting with element X below, assume that the following three decays occur in sequence: 48 beta-plus decay 1st 2nd - gamma 3rd alpha decay What is the final Nucleus (atomic mass and atomic number) after the three decays? Final A = Final Z =
The initial element X is not provided, we cannot determine the specific final nucleus (atomic mass and atomic number) after the sequence of decays (beta-plus, gamma, and alpha decay).
How can I determine the final nucleus without knowing the initial nucleus and atomic number of element X?In nuclear decay processes, the initial element undergoes transformations resulting in the formation of a final nucleus with different atomic mass and atomic number. The sequence mentioned involves beta-plus decay, followed by gamma decay, and finally alpha decay. However, without knowing the initial element, it is not possible to determine the specific final nucleus.
The outcome of each decay depends on the properties of the starting element. Beta-plus decay involves the emission of a positron and a neutrino, gamma decay involves the emission of a gamma ray photon, and alpha decay involves the emission of an alpha particle. The combination of these decays alters the atomic mass and atomic number of the nucleus, leading to the formation of a new element. To provide a precise answer, the identity of the initial element is required.
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what causes you to get warm if you stand bear a fire ? A . Transmission B . Radiation C . Convection D . Conduction
Answer:
B
Explaination:
Radiation refers to the emission of energy in rays or waves. Heat moves through space as energy waves.
Answer:
Radiation
Explanation:
Heat can be transferred though thin air
A ______ skid is the result of having too much power on the drive wheels for the traction of the road surface.
A "power" skid is the result of having too much power on the drive wheels for the traction of the road surface.
A power skid, also known as an overpowered skid or acceleration skid, occurs when the wheels that provide power to the vehicle (usually the drive wheels) have more power or torque than the traction available on the road surface. This typically happens when the driver applies excessive throttle or power to the wheels, causing them to spin and lose traction with the road.
When the power applied to the drive wheels exceeds the available traction, the wheels will spin faster than the vehicle can move forward. This results in a loss of control and the vehicle sliding or skidding in a sideways or uncontrollable manner. Power skids are commonly experienced in high-performance or high-powered vehicles, especially on low-traction surfaces such as wet or icy roads.
A power skid occurs when there is an imbalance between the power applied to the drive wheels and the available traction on the road surface, causing the wheels to spin and the vehicle to lose control.
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A power skid is a result of having too much power on the drive wheels for the traction of the road surface.
When the power applied to the drive wheels exceeds the available traction of the road surface, the wheels can lose grip and start spinning. This causes a power skid, where the vehicle's momentum continues in a straight line, but the wheels rotate without propelling the vehicle forward effectively.
The calculation to determine whether a power skid occurs involves comparing the available traction (T) with the power being applied to the drive wheels (P). The available traction can be influenced by factors such as the road surface condition, tire grip, weight distribution, and the presence of any traction control systems.
If the power (P) applied to the drive wheels exceeds the available traction (T), a power skid is likely to occur. Mathematically, this can be expressed as:
P > T
Having too much power on the drive wheels compared to the available traction can lead to a power skid. This situation is common in high-performance vehicles or when road conditions are compromised (e.g., slippery surfaces). To prevent power skids, drivers should exercise caution when accelerating and consider using traction control systems, adjusting their driving style, or using appropriate tires for road conditions to maintain traction and control.
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Answer the following: (a) Find an angle between 0 and \( 2 \pi \) that is coterminal with \( -\frac{4 \pi}{3} \). (b) Find an angle between \( 0^{\circ} \) and \( 360^{\circ} \) that is coterminal wit
Find an angle between 0 and 2π that is coterminal with −(4π/3).A coterminal angle is the sum or difference of multiples of 360°,
so to obtain a coterminal angle, we'll add or subtract an appropriate amount of multiples of 2π radians from the given angle.
The angle's positive equivalent in radians is:
2π + (-4π/3) =
2π - (4π/3)
= (6π/3) - (4π/3)
= (2π/3)
For 0 < θ < 2π, there is only one angle, which is a fourth quadrant angle, since its sine and cosine are both negative.
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Use composition of functions to determine whether f ( x ) and g ( x ) are inverses of each other.
\(f ( x ) =\frac{4}{5}\) x + 1
\(g ( x ) = \frac{5 x - 5}{4}\)
The two compositions are: f( g(x) ) = x and g( f(x) ) = x
What is an inverse function?The inverse function is defined as a function obtained by reversing the given function.
We have given functions :
f(x) = 4/5x + 1
g(x) = (5x - 5)/4
Let's check if the functions are inverses.
f( g(x) ) = 4/5g(x) + 1 = 4/5{(5x - 5)/4} + 1 = (x - 1) + 1 = x
g( f(x) ) = (f(x) - 1)5/4 = (4/5x + 1 - 1)5/4 = x
So, f(x) and g(x) are inverses.
Hence, the two compositions are: f( g(x) ) = x and g( f(x) ) = x
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Physics question help help!! A car with a mass of 3500 KG accelerates to 2.2 7M/S2. What is the applied force?
Answer:
7945N
Explanation:
Force= Mass× acceleration
F=3500Kg×2.27ms^-2
F=7945 N
What astronomical event corresponds to the passage of 1 year?.
The astronomical event corresponds to the passage of 1 year is the Earth making one revolution about the Sun.
What is an astronomical event?"Astronomical events" refers to occurrences that astronomy examines, such as eclipses or novae, whereas astronomy events refers to meetings, conferences, and other significant astronomy-related events.
In conclusion, The earth revolves the sun in one year
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A wave is moving at the rate of 40 cm/s. Its wavelength is 5 cm. What is the frequency of the wave? INCLUDE THE CORRECT UNIT!
Answer:
Solution given:
velocity=40cm/s
wave length=5cm
we have
frequency =velocity/wavelength=40/5=8hertz.
the frequency of the wave is 8 hertz.
The force of the ruler on the ball is called an applied force. The force of the barrier on the ball is called a
normal force. Both of these forces are exerted by surfaces, and the direction of force is at a right angle to
the surface. The difference is that an applied force is exerted by a moving object and a normal force is
exerted by a stationary object. Draw two arrows to represent the applied force and the normal force on
the ball,
For
ments
ET
We 2 pt
barrier
ruler
The applied force is exerted by a moving object, in this case, the ruler. It is the force that is used to push or move the ball. The direction of the applied force is along the surface of the ruler, and it is represented by an arrow pointing in the direction of the push or motion.
The normal force, on the other hand, is exerted by a stationary object, in this case, the barrier or surface that the ball rests on. The normal force acts perpendicular to the surface and prevents the ball from sinking into the surface. It is represented by an arrow pointing perpendicular to the surface of the barrier or ground.
To provide a visual representation, you can imagine drawing an arrow on the ruler to represent the applied force, pointing in the direction of the ruler's motion or push. Additionally, you can draw another arrow on the ball, pointing vertically upwards, to represent the normal force exerted by the surface. This will indicate the direction and magnitude of both forces acting on the ball.
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what is the weight of a 3.67kg ball?
Answer:
mass 3.67 kg, density 600 kg/m3) is fitted
with lead (density 1.14 * 10^4 kg/m3) so that it floats in water with
0.900 of its volume submerged. Find the lead mass if the lead is fitted
to the block’s (a) top and (b) bottom.
PLEASE HELP PLEASEEEE
Answer:
Concave mirror
Explanation:
Because as we move the object far away from the mirror the image gets inverted