This relationship is derived using logarithmic differentiation and finding the average value of the exponent (b) based on the provided data points. The equation t = a \(N^{0.622}\) represents the program's time complexity as the input size doubles.
Now, we need to find the power law relationship that approximately describes the program's performance. The doubling hypothesis states that the time complexity of the program will increase exponentially when the size of the input is doubled.
Therefore, the power law relationship between N and t is of the form t = a \(N^b\). Using the given data points, we can find the values of a and b. Using logarithmic differentiation, we have:
log(t) = log(a) + b log(N).
Differentiating both sides with respect to N, we get: 1/t (dt/dN) = b / N. Therefore, b = N dt/dN t.
Let us find the values of b for each consecutive pair of data points: (500, 250) : b = (500 - 250) log(83/21)
= 0.542(1000, 500) : b
= (1000 - 500) log(330/83)
= 0.585(2000, 1000) : b
= (2000 - 1000) log(1320/330)
= 0.627(4000, 2000) : b
= (4000 - 2000) log(5280/1320)
= 0.663(8000, 4000) : b
= (8000 - 4000) log(21120/5280)
= 0.694.
The average value of b is (0.542 + 0.585 + 0.627 + 0.663 + 0.694) / 5 = 0.622. Therefore, the power law relationship that approximately describes the program's performance is t = a \(N^{0.622}\).
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Q20: Local variables must be a. initialized when they're declared. b. initialized before their values are used in an expression. C. declared and initialized in two steps. d. declared at the top of the method's body. Q21: Which of the following code segments does not increment val by 3:// assume initially value=0 a. val += 3; b. val = val + 1; val = val + 1; val = val + 1; c = 3; val = val +(c == 3 ? 2:3); d. All of the above increment val by 3. C. Q22: What is the result value of c at the end of the following code segment? int c = 8; C++; ++C; c%= 5; a. 0. b. 1. C. 3. d. None of the above. Q23: Which of the following is not a primitive type? a. char b. float
Local variables must be initialized before their values are used in an expression. The correct option is b.
20. Local variables are variables that are declared and used within a specific block of code or function. They are created when the block of code or function is executed and destroyed when it is completed.
Local variables should be initialized before they are used in an expression to avoid undefined behavior. Option b is correct.
21. The code segments which does not increment val by 3 is val = val +(c == 3 ? 2:3). The correct option is c.
This code increments val by 2 if c is equal to 3, otherwise, it increments val by 3. Thus, it does not always increment val by 3.
22. The result value of c at the end of the code segment "int c = 8; C++; ++C; c%= 5;" is 0. The correct option is a.
The correct code should be int c = 8; c++; ++c; c %= 5; With this code, c will be incremented twice to become 10 and then the modulus operation will be applied, resulting in c = 10 % 5 = 0. So, the correct answer should be a. 0.
23. Both of the provided options are primitive types.
Both char and float are primitive types in Java. If you need to choose from these options, then there's no correct answer provided.
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At what point should the timing begin for the first leg outbound in a nonstandard holding pattern?A. Abeam the holding fix, or wings level, whichever occurs lastB. when the wings are level at the completion of the 180 turn outboundC. when over or abeam the holding fix whichever occurs later
The correct answer is A, abeam the holding fix, or wings level, whichever occurs last. In a non-standard holding pattern, the aircraft turns in the opposite direction to the standard pattern, and the timing for the first leg outbound begins at a different point.
The timing should begin when the aircraft is abeam the holding fix, or wings level, whichever occurs last.
If the aircraft is still turning when it reaches the holding fix, the timing should begin when the wings are level. By following the correct timing procedures, pilots can ensure safe and efficient operations while maintaining proper spacing and sequencing with other aircraft in the holding pattern.
It's important for pilots to be familiar with both standard and non-standard holding patterns and the associated timing procedures to ensure safety and effective operation of the aircraft.
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The unit of solar radiation?
Answer: The solar irradiance is measured in watt per square metre (W/m2) in SI units. Solar irradiance is often integrated over a given time period in order to report the radiant energy emitted into the surrounding environment (joule per square metre, J/m2) during that time period.
Explanation: hope that helped!
One option for protecting a motor-compressor from overloads and failure to start is to use a time-delay fuse or inverse- time circuit breaker rated at not more than ______ percent of the rated load current.
One option for protecting a motor compressor from overloads and failure to start is to use a time-delay fuse or inverse-time circuit breaker rated at not more than 125% percent of the rated load current.
For the high torque demands of air compressors, compressor duty motors are specially created. Both single-phase and three-phase motors with open drip-proof frames made of rolled steel and ball bearings to manage belt load and tension are used.
An air compressor is a pneumatic device that transforms power (from an electric motor, diesel engine, or other engine, for example) into potential energy stored in pressurised air (also known as compressed air). A storage tank's pressure rises when an air compressor adds air using one of several techniques.
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Help me for this question
batch of chlorine containing waste is dumped into a landfill (see figure
below). The average Cl concentration in the waste is at Co. A 25 meter thick clay layer below the waste is used as a barrier to prevent underground water contamination. Estimate how long it will take before the chlorine level at the bottom surface of the clay layer to reach 0.001 Co. The effective diffusivity of chlorine is 5.2x10-6 cm2/s. Hint,
set up the governing equation and identify the initial and boundary conditions. A standard PDE solution given in the lecture material can be
used. CI- Containing Hazardous Material (at Cao) Clay Layer, 25 m thick
Z
To estimate the time it will take for the chlorine level at the bottom surface of the clay layer to reach 0.001 Co, we can use Fick's second law of diffusion and solve the governing equation for the given system. Let's denote the concentration of chlorine at any given depth z and time t as C(z, t).
The governing equation for diffusion in this system is: ∂C/∂t = D * (∂²C/∂z²). where D is the effective diffusivity of chlorine (given as 5.2x10^-6 cm²/s). The initial condition is given as: C(z, 0) = Co (for 0 ≤ z ≤ 25). This means that at time t = 0, the concentration of chlorine is Co throughout the waste. The boundary conditions are: C(0, t) = Co (for t ≥ 0), C(25, t) = 0.001 Co (for t ≥ 0)
The first boundary condition represents the concentration at the top surface of the clay layer, which remains at Co throughout. The second boundary condition represents the concentration at the bottom surface of the clay layer, which is specified as 0.001 Co. By solving the above partial differential equation (PDE) with the given initial and boundary conditions, we can determine the time it takes for the chlorine level at the bottom surface of the clay layer to reach 0.001 Co. The exact solution will depend on the specific numerical method used for solving the PDE, such as finite difference, finite element, or other numerical techniques.
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consider that the maximum load on a structure is known with an uncertainty of 620 percent, and the load causing failure is known within 615 percent. if the load causing failure is nominally 2000 lbf, determine the design factor and the maximum allowable load that will offset the absolute uncertainties.
Therefore, the design factor is 7.2 and the maximum allowable load that will offset the absolute uncertainties is 14400 lbs.
To determine the design factor and the maximum allowable load, we need to consider the uncertainties given.
The maximum load on a structure is known with an uncertainty of 620 percent, which means the actual maximum load could be 620 percent higher or lower than the nominal value. Similarly, the load causing failure is known within 615 percent, so the actual load causing failure could be 615 percent higher or lower than the nominal value of 2000 lbf.
To account for these uncertainties, we can calculate the design factor and maximum allowable load.
Design factor = (Actual maximum load) / (Nominal load causing failure)
Actual maximum load = Nominal load causing failure + (Nominal load causing failure * uncertainty on maximum load)
Actual maximum load = 2000 lbf + (2000 lbf * 620%)
Maximum allowable load = (Design factor) * (Nominal load causing failure)
Substituting the values:
Actual maximum load = 2000 lbf + (2000 lbf * 620%)
Actual maximum load = 2000 lbf + (2000 lbf * 6.2)
Actual maximum load = 2000 lbf + 12400 lbf
Actual maximum load = 14400 lbf
Design factor = 14400 lbf / 2000 lbf
Design factor = 7.2
Maximum allowable load = 7.2 * 2000 lbf
Maximum allowable load = 14400 lbf
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The sinusoid corresponding to the phasor l1 = 2.8e^-jл/3 A and a: 376 rad/s is i1(t)=2.8 cos(_____t-phi/3) A.
The missing angle of the stated expression for i1(t) is 376t - π/2.
How to calculate the valueThe phasor for i1(t) is represented by:
I1 = L1 * jω
L1 measures the phasor amplitude, ω denoting angular frequency whereas j represents an imaginary unit.
Upon substituting the values provided, we obtain:
I1 = (2.8e^(-jπ/3)) * j(376)
I1 = (-2.8/2) * j * e^(-jπ/3) * 752
I1 = -1.4j * e^(-jπ/3) * 752
I1 = 1204.16 e^(-jπ/3 + jπ/2)
I1 = 1204.16 e^(-jπ/6)
Using Euler's formula to convert this phasor onto a corresponding sinusoid:
i1(t) = Re(I1 * e^(jωt))
i1(t) = Re(1204.16 e^(-jπ/6) * e^(j376t))
i1(t) = Re(1204.16 e^(j(376t - π/6)))
i1(t) = 1204.16 cos(376t - π/6)
After comparing this expression with the given one for i1(t), it can be inferred that:
phi/3 = π/6
phi = π/2
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Can I get an answer to this question please
Answer:
(i) 12 V in series with 18 Ω.
(ii) 0.4 A; 1.92 W
(iii) 1,152 J
(iv) 18Ω — maximum power transfer theorem
Explanation:
(i)As seen by the load, the equivalent source impedance is ...
10 Ω + (24 Ω || 12 Ω) = (10 +(24·12)/(24+12)) Ω = 18 Ω
The open-circuit voltage seen by the load is ...
(36 V)(12/(24 +12)) = 12 V
The Thevenin's equivalent source seen by the load is 12 V in series with 18 Ω.
__
(ii)The load current is ...
(12 V)/(18 Ω +12 Ω) = 12/30 A = 0.4 A . . . . load current
The load power is ...
P = I^2·R = (0.4 A)^2·(12 Ω) = 1.92 W . . . . load power
__
(iii)10 minutes is 600 seconds. At the rate of 1.92 J/s, the electrical energy delivered is ...
(600 s)(1.92 J/s) = 1,152 J
__
(iv)The load resistance that will draw maximum power is equal to the source resistance: 18 Ω. This is the conclusion of the Maximum Power Transfer theorem.
The power transferred to 18 Ω is ...
((12 V)/(18 Ω +18 Ω))^2·(18 Ω) = 144/72 W = 2 W
In unguided medium (free space), the electromagnetic (EM) signal wave spreads as it leaves the transmit antenna. Since the power of the EM signal resides at the surface area of the wave front, signal power is described as signal power density (i.e., watts per area).
a. True
b. False
Answer:
a. True
Explanation:
a pair of large hydraulically operated shears is attached to the end of the boom on an excavator. the shear is used for cutting steel pipe and i-beams during demotion work. hydraulic cylinder ab exerts an 18kn force on the upper jaw. (a) complete the free-body diagram of the upper jaw, which has been only partially drawn. (b) determine the cutting force f being applied to the pipe.
Answer:
(a)
Free-body Diagram:
Upper Jaw:
F= 18kN
Friction force
Normal force
(b)
The cutting force f being applied to the pipe is equal to the force exerted by the hydraulic cylinder, 18kN.
Under ideal conditions, a truck with air brakes going 55 MPH would require a stopping distance of:
Under ideal conditions, a truck with air brakes going 55 MPH would require a stopping distance of 344 feet.
Stopping distance is the total distance covered by a vehicle from the time the driver perceives the need to stop to the point where the vehicle comes to a complete halt.
The stopping distance is determined by the vehicle's speed, brakes, tires, and roadway surface conditions.
Stopping distance can be determined by adding together the thinking distance and the braking distance. The thinking distance is the distance traveled by the vehicle before the driver can react.
The braking distance is the distance required by the vehicle to come to a halt once the driver applies the brakes.
Under ideal conditions, a truck with air brakes going 55 MPH would require a stopping distance of 344 feet.
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TRUE/FALSE. the recrystallization temperature is the temperature at which a metal recrystallizes, forming new grains instead of strain hardening.
The correct answer is FALSE.the recrystallization temperature is the temperature at which a metal recrystallizes, forming new grains instead of strain hardening.
Steels commonly recrystallize at temperatures between 400 and 700 °C. The degree of cold work and the composition of the steel determine the recrystallization conditions, such as heating rate and soaking duration. As the annealing temperature approaches the A1 point, the rate of softening rises quickly. The recrystallization effect is generally at its best when the annealing temperature is between 420 and 430 °C in the range of 350 °C to 450 °C, according to the annealing pre-experiment. The temperature at which 50% of recrystallization takes place in an hour is known as the recrystallization temperature. The melting point and the amount of impurities in the metals are the main determining factors.
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Select the correct answer.
Which responsibility belongs to the Coast Guard?
ОА.
to save people promptly in case of earthquakes through efficient disaster management
OB.
to provide national security through offensive and defensive combat techniques via the airways
O C.
to take part in wars under the US Navy
OD.
to offer law and order to the public through peaceful protests and actions
Answer:
The Coast Guard is the nation's oldest continuous seagoing service with responsibilities including search and rescue (SAR), maritime law enforcement (MLE), aids to navigation (ATON), ice breaking, environmental protection, port security and military readiness.
Explanation:
there
If a person runs a distance of 0.7 km in 3 min, what is his average speed in kilometres/hour
Answer:
14 km/hour
Explanation:
A pin B and D are each of 8mm diameter and act as single shape pin C is 6mm diameter and act as double shape for the laoding shaw determine averege shear stress in each
Answer:
what's the question?...........
The____is the issuer of certificates and certificate revocation lists and may also support a variety of administrative functions.
The certification authority is the issuer of certificates and certificate revocation lists and may also support a variety of administrative functions.
A certification authority (CA) is responsible for issuing digital certificates to entities such as individuals, organizations, or devices. These certificates validate the identity of the entity and are used for various purposes like secure communication, authentication, and digital signatures. The CA also maintains a certificate revocation list (CRL) which contains information about revoked certificates. This ensures that if a certificate is compromised or no longer valid, it can be identified and rejected. Additionally, a CA may perform administrative tasks such as managing certificate requests, verifying identities, and ensuring the security and integrity of the certificate infrastructure.
The certification authority (CA) plays a crucial role in the security infrastructure by issuing certificates, maintaining certificate revocation lists, and performing administrative functions to ensure the trustworthiness and validity of digital identities and communications.
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Why is aluminum more rust-resistant than steel? Iron atoms are larger than aluminum atoms, and thus, the interstitial spaces are larger. The reaction rate with atmospheric oxygen is higher for aluminum Iron as greater magnetic properties than aluminum. The reaction rate with atmospheric oxygen is higher for steel.
Aluminum is more rust-resistant than steel because it forms a protective oxide layer on its surface.
When aluminum comes into contact with atmospheric oxygen, it reacts to form aluminum oxide (Al2O3). This oxide layer is stable and adherent and acts as a barrier that prevents further oxidation of the underlying metal.
On the other hand, steel contains iron, which reacts with atmospheric oxygen and moisture to form rust (iron oxide). Unlike the aluminum oxide layer, rust is porous and flakes away, exposing more of the steel surface to further oxidation.
In summary, aluminum's higher reaction rate with atmospheric oxygen and the formation of a stable, protective oxide layer make it more rust-resistant than steel, which undergoes a similar reaction but with less favorable outcomes due to its larger iron atoms and different oxide properties.
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Member AB is d = 6.7 m long, made of steel, and is pinned at its ends for y-y axis buckling and fixed at its ends for x-x axis buckling. Determine the maximum load P the frame can support without buckling member AB. Express your answer to three significant figures and include appropriate units.
To determine the maximum load P that the frame can support without buckling member AB, we need to consider the critical buckling loads for both y-y axis and x-x axis buckling.
For y-y axis buckling, the critical buckling load can be calculated using the formula: P_yy = (π² * E * I_yy) / (L_yy)²
Where E is the modulus of elasticity of the steel, I_yy is the moment of inertia of member AB about the y-y axis, and L_yy is the effective length of member AB for y-y axis buckling.For x-x axis buckling, the critical buckling load can be calculated using the formula: P_xx = (π² * E * I_xx) / (L_xx)²
Where I_xx is the moment of inertia of member AB about the x-x axis, and L_xx is the effective length of member AB for x-x axis buckling.
Since member AB is pinned at its ends for y-y axis buckling and fixed at its ends for x-x axis buckling, the effective lengths are different. We'll need to determine the effective lengths L_yy and L_xx.
Once we have the critical buckling loads P_yy and P_xx, the maximum load P that the frame can support without buckling member AB is given by: P = min(P_yy, P_xx)
To calculate the values, we would need specific information such as the cross-sectional properties of member AB (I_yy and I_xx), the modulus of elasticity of the steel (E), and the effective lengths (L_yy and L_xx). Without these specific details, we cannot provide a numerical answer.
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The bronze C86100 pipe has an outer diameter of 1. 5 in. And a thickness of 0. 125 in. The coupling on it at C is being tightened using a wrench. If the applied force is F = 20 lb, determine the maximum shear stress in the pipe
The bronze C86100 pipe's maximum shear stress with an outer diameter of 1. 5 in. is around 16.98 psi.
How to determine shear stress?To find the maximum shear stress in the pipe, use the formula:
τ = F / (2A)
where τ = shear stress, F = applied force, and A = area on which the force is acting.
Assume that the force is evenly distributed around the circumference of the pipe, so the area on which it is acting is equal to the circumference times the thickness:
A = πD t
where D = outer diameter and t = thickness.
Substituting the given values:
D = 1.5 in
t = 0.125 in
F = 20 lb
A = πD t = π(1.5)(0.125) = 0.589 in²
Therefore, the maximum shear stress is:
τ = F / (2A) = 20 / (2 × 0.589) = 16.98 psi
So the maximum shear stress in the pipe is approximately 16.98 psi.
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Can an insulating material be used to charge a conductor? if so, how? if not, why not?.
No, an insulator cannot inductively charge a conductor. Plastics, Styrofoam, paper, rubber, glass, and dry air exist as all instances of insulators.
Why does the insulator not lose its charge?An electrical insulator is a material that prevents free flow of electric current. Electrons in insulator atoms are tightly bound and cannot easily move. Other materials conduct electricity more efficiently, such as semiconductors and conductors. Insulators keep electrons from moving, resulting in static electricity. Because electrons can move through conductors, they are unable to hold a charge. Insulators include plastics, Styrofoam, paper, rubber, glass, and dry air.Insulators stop the flow of current through them. On the surface of conductors, there exists an electric charge.How could you use your open circuit to test if a material is a conductor or insulator?Insert the material into the gap in the circuit. The material is a conductor if the light bulb illuminates; if it does not illuminate, the material is an insulator.
An insulator cannot inductively charge a conductor. Plastics, Styrofoam, paper, rubber, glass, and dry air exist as all instances of insulators.
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Why is the reasoning important when you make a scientific argument?
Jess likes to play Mario Bros on the Nintendo Entertainment System (NES). In what
era were these gaming systems first released?
(1 point)
1970s
1980s
1990s
O2000s
The very first Nintendo Entertainment System (NES) came out in October 18, 1985. So, it would be in the 1980s.
-------------------------------------------
Hope this helps!
Have a great day and God bless! :)
One of the requirements for tennis balls to be used in official competition is that, when dropped onto a rigid surface from a height of 120 in., the height of the first bounce of the ball must be in the range 55 in. <= h <= 60 in. Determine the range of the coefficients of restitution of the tennis balls satisfying this requirement. Any ideas on this?
Answer:
At temperature is and relative humidity is 86% therefore, the humidity ratio is 0.0223 and the specific volume is 14.289
At temperature is and Relative humidity is 40% therefore, the humidity ratio is 0.0066 and the specific volume is 13.535.
To calculate the mass of air can be calculated as follows:
Now , we going to calculate the volume,
The time which is required to fill the cistern can be calculated as follows:
Now, putting the value in above formula we get,
Therefore, the hours required to fill the cistern is 4.65 hours.
Explanation:
the horizontal sections of a steel frame are the . a. shell c. suspension b. i-beams d. rebar please select the best answer from the choices provided a b c d
The horizontal sections of a steel frame are known as the B: i-beams.
I-beam is a kind of structural steel used in buildings, also called H, W, wide, universal beam, or roll beam. I-beams play an important role as the supporting links of the structure. These beams can withstand different types of loads.
I-beams are frequently utilized to build beams and columns in a range of dimensions and specifications. It is vital for civil engineers and foremen to understand the necessity of i-beams in steel structures.
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How many times will be body of the FOR loop execute. (note the semicolon at the end of FOR statement
for (int i=0; i<20;i++);
{
//body of for loop
}
O Syntax error
O 20
O 21
O Infinite Loop
will save this response
Answer:
Explanation:
code in the curly braces is treated as regular body and will be executed normally
What energy transformation takes place when you turn on a light
Answer:
From electrical energy to radiation
Explanation:
A light bulb converts electrical energy to light, which is nothing more than radiation. Don't regard radiation as a bad thing, this light is non-iodizing radiation, which does not have the possibility to alter our DNA, and thus it's safe.
The simplest example can be found in old lights (obsolete now because they are vastly inefficient). This lights were just resistors which turned electrical energy into heat. A very hot material reflects light in the form of radiation, as described above.
Technologies like LEDs are more complicated to explain.
2. Who is responsible for the safe operation of the aerial lift and anyone on the platform?
a) The supervisor.
b) The operator.
The owner.
d) The service technician.
Answer:
D. the service technician
Explanation:
hope it's help
Answer:
c) the owner
Explanation:
this is because when there is no owner there is no manager
Can somebody help me with that
Answer:
I think it's 23 ohms.
Explanation:
Not entirely sure about it.
hope this helps
4.65 A zener shunt regulator employs a 9.1-V zener diode for which VZ = 9.1 V at IZ = 9 mA, with rz = 40 and IZK= 0.5 mA. The available supply voltage of 15 V can varyas much as ±10%. For this diode, what is the value of VZ0?For a nominal load resistance RL of 1 k and a nominal zenercurrent of 10 mA,what current must flow in the supply resistorR? For the nominal value of supply voltage, select a valuefor resistor R, specified to one significant digit, to provideat least that current. What nominal output voltage results?For a ±10% change in the supply voltage, what variationin output voltage results? If the load current is reduced by50%, what increase in VO results? What is the smallest valueof load resistance that can be tolerated while maintainingregulation when the supply voltage is low? What is the lowestpossible output voltage that results? Calculate values for theline regulation and for the load regulation for this circuit usingthe numerical results obtained in this problem.
Answer:
\(V_z=9.1v\)
\(V_{zo}=8.74V\)
\(I=10mA\)
\(R=589 ohms\)
Explanation:
From the question we are told that:
Zener diode Voltage \(V_z=9.1-V\)
Zener diode Current \(I_z=9 .A\)
Note
\(rz = 40\\\\IZK= 0.5 mA\)
Supply Voltage \(V_s=15\)
Reduction Percentage \(P_r= 50 \%\)
Generally the equation for Kirchhoff's Voltage Law is mathematically given by
\(V_z=V_{zo}+I_zr_z\)
\(9.1=V_{z0}+9*10^{-3}(40)\)
\(V_{zo}=8.74V\)
Therefore
\(At I_z-10mA\)
\(V_z=V_{z0}+I_zr_z\)
\(V_z=8.74+(10*10^{-3}) (40)\)
\(V_z=9.1v\)
Generally the equation for Kirchhoff's Current Law is mathematically given by
\(-I+I_z+I_l=0\)
\(I=10mA+\frac{V_z}{R_l}\)
\(I=10mA+\frac{9.1}{0}\)
\(I=10mA\)
Therefore
\(R=\frac{15V-V_z}{I}\)
\(R=\frac{15-9.1}{10*10^{-3}}\)
\(R=589 ohms\)