The temperature of the coffee at time t = 1 minute is approximately 65.5°F. The answer is option C.
What is the temperature of the coffee, in degrees fahrenheit?Assuming that the temperature of the coffee follows Newton's law of cooling, the temperature T of the coffee after t minutes can be modeled by the equation:
T(t) = T0 + (Troom - T0) * e^(-kt)
where T0 is the initial temperature of the coffee, Troom is the temperature of the surrounding air, k is a constant determined by the properties of the coffee and the cup, and e is the base of the natural logarithm. We are given that T0 = 190°F, Troom = 70°F, and k = 0.0573. Substituting these values into the equation, we get:
T(t) = 70 + (190 - 70) * e^(-0.0573t)
At t = 1 minute, we have:
T(1) = 70 + (190 - 70) * e^(-0.0573*1)
T(1) = 70 + 120 * e^(-0.0573)
T(1) ≈ 65.5°F
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A gas expands from I to F in Figure .The energy added to the gas by heat is 440 J when the gas goes from I to F along the diagonal path. (a) What is the change in internal energy of the gas? (b) How much energy must be added to the gas by heat along the indirect path IAF ?
A. The change in internal energy of the gas is - 88.5 J. B. The energy must be added to the gas by heat along the indirect path IAF 721.9J.
(A) given that Q = 440 J.
dU = Q - W.
The work done is the form I to F the work along the diagonal
The area of the trapezoids = (1/2)*(sum of parallel bases)*( distance between parallel bases)
= (1/2)*(4 + 1)*(2)
= 5 L-atm.
1 L = 1*10^-3 m^3 and 1 atm = 1.013*10^5 Pa,
Using these two conversions,
W = 5L-atm = 506.5 J
dU = 418 J - 506.5J
= - 88.5 J
(B) Work along IAF = area under horizontal IAF line clear down to V-axis
= 8 L-atm= 810.4 J
dU = Q - W
-88.5J = Q - 810.4J
Q =721.9 J
Therefore, the amount of work done in expanding a gas is equal to the pressure of the gas multiplied by the change in volume of the gas. By definition 1 Joule is the work done when you apply a force of 1 Newton to move an object 1 meter. During compression of the system, the volume of the gas decreases, and its temperature increases accordingly.
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A sonar echo returns to a submarine 2.30 s after being emitted. What is the distance to the object creating the echo?
A sonar echo returns to a submarine 2.30 s after being emitted. The distance to the object creating the echo is 1702m
Let's understand the solution in detail,
The speed of sound in water is equal to 1480m/s
The time the waves take to hit the object and return back to the receiver is 2.30s
As we already know distance = speed x time
So the distance of the object = (speed x time)/2
We are dividing the distance by two because sound travels the same distance while reaching the object from the emitter and reaching back to the receiver after getting reflected by the object.
Therefore the distance comes out as \(\frac{1480 x 2.30}{2}\)
which is equal to 1702 meters
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For this activity, you are going to play the part of a mission control support team member who helps plan astronauts’ daily schedules and lives. We will focus on one of the most important activities for anyone, but especially for astronauts as they try to stay strong and healthy in space—eating!
You will design a days’ worth of meals that you would like to eat as an astronaut, and suggest any modifications that would need to be put in place to make the food amenable to a zero-gravity/non-refrigerated environment.
Step 1: Pick Three Meals
Choose a breakfast, lunch, and dinner. For now, your only rules are to avoid bread, soda, and ice cream—anything else is up for grabs! Each meal must consist of a protein, grain, fruit and vegetable.
Step 2: Modify Your Meals
What about your meals might need to change in order for them to be edible in space? You will likely have to do some research on each food item you selected to determine what special packaging or preparation is required.
Step 3: Write a Menu
In a word processing program, write a menu for the astronaut who will be eating these meals. For each meal, include:
What the meal is
Special packaging that is required (remember, some foods can fly away more easily than others!)
Any preparations that need to be done before consuming (ie, hydrating freeze-dried food)
To complete this activity, submit your menu with all of the above specifications addressed.
As an astronaut meal planner, here is a menu for a day's worth of meals in space includes Breakfast, Lunch and Dinner.
Breakfast:
Scrambled Eggs with Vegetables
Special Packaging: Individual vacuum-sealed pouches
Preparation: The scrambled eggs with vegetables will be precooked and dehydrated. Astronauts will rehydrate the meal with hot water, stir, and allow it to sit for a few minutes before consuming. This ensures the eggs and vegetables rehydrate properly in the zero-gravity environment.
Lunch:
Teriyaki Chicken Stir-Fry with Rice
Special Packaging: Sealed pouches for each component (chicken, vegetables, rice, and sauce)
Preparation: The chicken, vegetables, and rice will be precooked and dehydrated separately. The teriyaki sauce will be in a separate pouch. Astronauts will rehydrate each component individually with hot water, then mix them together in a resealable pouch. After a few minutes, the meal will be ready to eat.
Dinner:
Grilled Salmon with Quinoa and Roasted Vegetables
Special Packaging: Vacuum-sealed pouches for each component
Preparation: The salmon will be cooked and then freeze-dried for preservation. The quinoa and roasted vegetables will be precooked and dehydrated separately. Astronauts will rehydrate the quinoa and vegetables with hot water, then warm up the salmon using a food warmer. The components will be combined on a tray and secured with fasteners to prevent them from floating away.
Modifications for space include using dehydration and freeze-drying techniques to remove water content from the food while preserving nutrients. Vacuum-sealed and sealed pouches are used to prevent spoilage and maintain freshness. Rehydration with hot water is necessary to restore the food's texture and taste.
Additionally, it's important to consider portion control and individual packaging to prevent cross-contamination and maintain food safety. The use of condiments and seasonings may be limited to avoid loose particles floating in the spacecraft.
By designing meals that are easy to prepare, consume, and clean up, astronauts can enjoy nutritious and satisfying meals while adapting to the unique challenges of the zero-gravity and non-refrigerated environment in space.
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the electrical interaction between the nucleus and the orbital electron is a force of
-
A) attraction
B) repulsion
Answer:
Attraction
Explanation:
Nucleus has a positive charge. Electron has a negative charge. Opposite charges attract and equal charges repel
The electrical interaction between the nucleus and the orbital electron is a force of attraction.
Electrons are negatively charged and are pulled pretty close to each other by their attraction to the positive charge of a nucleus. The electrons are attracted to the nucleus at the same time as electrons repel each other. The balance between attractive and repulsive forces results in shielding.The nucleus is positive and the electrons are negative, which obviously means they attract. However, electrons are organized into shells, and so as you move further out, you have more shells of electrons in the way of the nucleus, which repels the outermost electrons a little more.
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what is the diffference between distance and displacement
Answer:
distance is how far away something has travelled from another object, while displacement is how far something is from the other object. Displacement is a vector quantity, unlike distance.
conflict resolution definition
Answer:
Conflict resolution is the process by which two or more parties reach a peaceful resolution to a dispute. In the workplace, there can be a variety of types of conflict: Conflict may occur between co-workers, or between supervisors and subordinates, or between service providers and their clients or customers.
The term conflict resolution implies the process of seeking effective and plausible settlement in conflict situations between aggrieved parties.
What is conflict resolution?The term conflict in itself refers to a disagreement between two or more parties. Conflicts are common in human parlance. An example is the current conflict between Russia and Ukraine in recent times.
The term conflict resolution implies the process of seeking effective and plausible settlement in conflict situations between aggrieved parties.
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Sandy wants to know whether an item dropped into a fluid will sink or float. What is true for any item that floats?
A.
The force of gravity is equal to the force of mass.
B.
The force of gravity is stronger than the buoyant force.
C.
The buoyant force is stronger than the force of gravity.
D.
The object has no density.
Answer:
A, I think but I'm sureExplanation:
ur welcomeee ♥️♥️
Answer: C.
The buoyant force is stronger than the force of gravity.
Explanation:because I did it
quantum numbers: an electron in a hydrogen atom has orbital quantum number l = 7. how many possible values of the magnetic quantum number ml could it have?
An electron in a hydrogen atom with an orbital quantum number (l) of 7 can have a total of 15 possible values for the magnetic quantum number (ml).
The magnetic quantum number (ml) describes the orientation of the orbital in space and can have values ranging from -l to +l, including zero. In this case, since the orbital quantum number (l) is 7, the possible values for ml would be -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, and 7.
The magnetic quantum number represents the different orientations of the electron's orbital around the nucleus. The value of l determines the shape of the electron's orbital, with higher values indicating more complex shapes. In the case of l = 7, the electron's orbital would have a highly complex shape, consisting of multiple nodes and lobes.
Each value of ml corresponds to a different orientation of the orbital in space. For example, if ml = 3, it means the electron's orbital is oriented in a specific direction, while ml = -2 would represent a different orientation. Therefore, in the given scenario, an electron in a hydrogen atom with l = 7 can have a total of 15 possible values for ml, allowing for a wide range of orbital orientations.
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How does solar energy work
Answer:
When the sun shines onto a solar panel, energy from the sunlight is absorbed by the PV cells in the panel. This energy creates electrical charges that move in response to an internal electrical field in the cell, causing electricity to flow.
A student pulls a cart towards right on a rough surface. What is tye direction of the frictional force acting on the cart?
When a student pulls a cart towards the right on a rough surface, the direction of the frictional force acting on the cart will be to the left in the opposite direction of motion of the cart.
What is frictional force?Frictional force is a force that acts to oppose the motion of an object moving over another object.
Frictional force is a contact force as it requires contact between the two surfaces.
Frictional force acts at the surface of separation of the objects.
Frictional force causes wear and tear in moving parts of machinery.
However, frictional force enables the movement of objects over flat surfaces, for example, it aids in walking.
In conclusion, frictional force acts in an opposite direction to the motion of an object moving over another object.
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Is a kind of abstract expressionism that focuses on the emotional resonance of color?
A kind of abstract expressionism that focuses on the emotional resonance of color as exemplified by the work of Barnett Newman and Mark Rothko is known as chromatic abstraction.
Abstract Expressionism is a term applied to a movement in American painting that flourished in New York City after World War II, Also, Abstract Expressionism is a type of abstract art that originated in New York.
Abstract Expressionism is best known for large-scale paintings, Abstract Expressionism is often considered for its advancements in painting, its ideas had deep resonance in many mediums, including drawing and sculpture. This is all about it.
There were two types of Abstract Expressionism:
Action Painting and Color field Painting.
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1. Draw the following free-body diagrams. Label the forces with their appropriate symbol, and includethe magnitude of each force if it is known.a) A basketball player shoots the ball,and it is flying through the air toward the basket.(Ignore air resistance.)b) A wheeled cart on a track (similar to whatyou used in the lab) weighs 0.5 N. It is pulledto the right with an applied force of 0.25 N, andexperiences rolling friction of 0.03 N. Ignore airresistance.c) A cart is on an air track (a frictionlesssurface similar to an air hocket table). Mrs. Hountonpushes the cart, and then lets go. It is travelingtoward the left. Include air resistance. The free-bodydiagram should be for the situation after Mrs. Hountonlets go of the cart.
To draw a free-body diagram, identify all the forces acting on an object and draw them including their magnitude and direction. Use a point to represent the object.
a)
While the ball is flying through the air, the only force acting on the ball is its weight (due to gravitational attraction to the Earth).
b)
There are three forces acting on the cart: its weight, the pull to the right and the rolling friction to the left:
c)
There are three forces acting on the cart: The gravitational pull downwards, the push upwards of the air that compensates the weight, and the air resistance to the right (since the cart is traveling toward the left).
In a single-slit diffraction experiment, the width of the slit through which light passes is reduced. What happens to the width of the central bright fringe? a. It stays the same. b. Its behavior depends on the wavelength of the light c. It becomes wider. d. It becomes narrower.
If the width of the slit through which light passes is reduced in a single-slit diffraction experiment, the width of the central bright fringe becomes narrower. Correct answer is option d.
The central bright fringe is formed when the waves from all parts of the slit arrive in phase. When the slit is narrowed, the width of the central bright fringe decreases because the light waves passing through the slit interfere with each other more, causing the diffraction pattern to become more spread out.
This leads to the central bright fringe becoming narrower as compared to the original width of the fringe. Therefore, option (d) is the correct answer.
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A nonlinear spring is compressed horizontally. The spring exerts a force that obeys the equation F(x) = Ax1/2, where x is the distance Ax , where x is the distance from equilibrium that the spring is compressed and A is a constant. The spring is mounted horizontally on a countertop that is 1.3 m high so that its equilibrium position is just at the edge of the countertop. The spring is compressed so that it stores 0.2 J of energy and is then used to launch a ball of mass 0.10 kg horizontally from the countertop. Neglecting friction, determine the horizontal distance d from the edge of the countertop to the point where the hall strikes the floor
Non-linear springs are helical coil springs that produce erratic amounts of force when they are subjected to a working load or torque.
A linear spring will always move along a straight line with a constant slope. The connection between force and displacement in a nonlinear spring is nonlinear. A nonlinear spring force vs. displacement graph with a variable slope will be more complex than a straight line. A nonlinear spring is stretched a distance A, with its restoring force being given by F=kx3, where x represents the displacement from equilibrium. There is a mass m fastened to its end.
Question
A nonlinear spring is compressed horizontally. The spring exerts a force that obeys the equation F(x) = Ax^1/2, where x is the distance Ax , where x is the distance from equilibrium that the spring is compressed and A is a constant. A physics student records data on the force exerted by the spring as it is compressed and plots the two graphs below, which include the data and the student's best-fit curves.
a. From one or both of the given graphs, determine A. Be sure to show your work and specify the units.
b i. Determine an expression for the work done in compressing the spring a distance x. ii. Explain in a few sentences how you could use one or both of the graphs to estimate a numerical answer to part (b)i for a given value of x.
c. The spring is mounted horizontally on a countertop that is 1.3 m high so that its equilibrium position is just at the edge of the countertop. The spring is compressed so that it stores 0.2 J of energy and is then used to launch a ball of mass 0.10 kg horizontally from the countertop. Neglecting friction, determine the horizontal distance d from the edge of the countertop to the point where the hall strikes the floor
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if one star is three times as far away from earth as another, and twice as bright, its luminosity is how many times greater than that of the other star
The luminosity of a star is directly proportional to its brightness and the square of its distance from Earth. In this scenario, let's assume the closer star has a luminosity of 1 unit.
Since the second star is three times farther away, its distance from Earth would be 3^2 = 9 times greater than the closer star. Given that the second star is also twice as bright, its total luminosity would be 9 x 2 = 18 units. The second star's luminosity would be 18 times greater than that of the first star. This is because luminosity depends on both the brightness and the square of the distance from Earth. The second star is three times farther away and twice as bright, resulting in a luminosity that is 18 times higher compared to the first star.
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jordan has a mass of 65kg and carlos has a mass of 78.0kg. jordan is running at 5.75m/s when he is tackled by carlos who is running in the opposite direction. after the collision of both players are at rest. calculate their velocity before the collision.
Given
mj = 65 kg
mc = 78 kg
voj = 5.75 m/s
after collision
vfj = vfc = 0 m/s
Procedure
The law of momentum conservation can be stated as follows. For a collision occurring between object 1 and object 2 in an isolated system, the total momentum of the two objects before the collision is equal to the total momentum of the two objects after the collision.
\(\begin{gathered} p_o=p_f \\ m_jv_{0j}-m_cv_{0c}=0 \\ m_jv_{0j}=m_cv_{0c} \\ v_{0c}=\frac{m_jv_{0j}}{m_c} \\ v_{0c}=\frac{65kg*5.75m/s}{78kg} \\ v_{Oc}=4.8m/s \end{gathered}\)
The velocity before the collision would be 4.8m/s
If a rock has a speed of 12 m/s as it hits the ground, from what height did it
fall, assuming its initial speed was zero? Its mass is 50 kg.
A. 600 m
B. 4.2 m
C. 12 m
D. 7.3 m
Answer:
To find the height the following formula should be used:
v 2 = u 2 + 2aH
Explanation:
Assuming this occurs on earth, a= 9.8 ms -2
-2 2
12=0+2 x9.8 x H
144
_______ =H
2 x 9.8
H= 7.35m
Airplane flight best illustrates
A) Archimedes' principle.
B) Pascal's principle.
C) Bernoulli's principle.
D) Boyle's law.
The Bernoulli principle is best demonstrated through aeroplane flying.
The airfoil—the technical term for an aeroplane wing—has a curved upper surface, which Bernoulli's theorem tries to explain in terms of lift. According to the theory, this curvature causes air to move across the top of the wing more quickly than it does along the flat bottom of the wing. Energy conservation and fluid motion are the foundations of Bernoulli's equation. It is frequently used to describe how aircraft fly: "Because the speed is higher there, the air pressure is higher there than it is above the wing. Bernoulli's principle suggests that the pressure on the surfaces of the wing will be lower above than below, for instance, if the air flowing past the top surface of an aircraft wing is travelling faster than the air passing past the bottom surface. An upward lifting force is produced as a result of this pressure difference.
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Julietta and Jackson are playing miniature golf. Julietta's ball rolls into a long. Straight upward incline with a speed of 2.95 m/s and accelerates at -0.876 m/s/s for 1.54 seconds until it reaches the top of the incline and then continues along an elevated section. Determine the length of the incline.
Answer:
The length of the incline is 3.504 meters.
Explanation:
Let suppose that Julietta's ball decelerates uniformly, then we determine the length of the incline is determined by the following equation of motion:
\(\Delta s = v_{o}\cdot t +\frac{1}{2}\cdot a \cdot t^{2}\) (Eq. 1)
Where:
\(\Delta s\) - Length of the incline, measured in meters.
\(v_{o}\) - Initial speed of the ball, measured in meters per second.
\(a\) - Aceleration of the ball, measured in meters per square second.
\(t\) - Time, measured in second.
If we know that \(v_{o} = 2.95\,\frac{m}{s}\), \(t = 1.54\,s\) and \(a = -0.876\,\frac{m}{s^{2}}\), then the length of the incline is:
\(\Delta s = \left(2.95\,\frac{m}{s} \right)\cdot (1.54\,s)+\frac{1}{2}\cdot \left(-0.876\,\frac{m}{s^{2}} \right) \cdot (1.54\,s)^{2}\)
\(\Delta s = 3.504\,m\)
The length of the incline is 3.504 meters.
2. A spacecraft travels at 2 x 108 m/s relative to Earth. An astronaut on board listens to a CD that lasts 50 min.
How long would the CD last as measured by a stationary clock on Earth?
3. A linear particle accelerator is a special machine that accelerates charged particles to nearly the speed of light
and channel them into a beam. When used in research, the beam hits targets and the atoms split. Scientists
gather information about sub-particles, atoms and molecules to further help understand the laws of physics.
A proton of a mass 1.67 x 10–27 kg is accelerated to 0.999 994c. Calculate the ratio of the proton’s relativistic
momentum to the non-relativistic momentum
This is a time dilation exercise. The time taken for the CD to last as measured by a clock on earth is given as: 67.08 minutes.
What is time dilation?Under the theory of special relativity, time dilation is the "slowing down" of a clock as determined by an observer in relative motion with respect to that clock.
Recall that the equation for time dilation is given as:
t = t₀/√(1- (v²/c²)
Where:
t₀ is the observer in the space craft
t is the observer on earth
v is the speed of the space craft which is given as 2 x 10⁸m/sec
c is the speed of light which is given as 3 x 10⁸m/sec
Hence
v/c = 2 x 10⁸/ 3 x 10⁸
= 2/3
Thus,
t = 5/√(1-(4/9)
= 50 √(9/5)
= 150/√5
= 150 /2.2361
= 67.08 min
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g what is the terminal voltage of the battery a 8 ohm 4 ohm 12 ohm resistor find the current passing through the 5 ohm resistor in a paragraph length response
The terminal voltage of the battery is 8.8 V and the current passing its internal resistor 0.05 Ohm is 4.035 A
The Ohm law for voltage and current is:
V = I R
Where:
V = voltage
I = current
R = resistance
In the given problem, the equivalent resistors connected in parallel:
1/R = 1/8 + 1/4 + 1/12
1/R = 3/24 + 6/24 + 2/24 = 11/24
R = 24/11 = 2.18 Ohm
The internal resistance of the battery is 0.05 Ohm, hence, total equivalent resistance:
Rt = 2.18 + 0.05 = 2.23 Ohm
Current passing out the battery:
I = V/Rt
= 9 / 2.23 = 4.035 A
The internal resistance makes a small voltage drop. The terminal voltage of the battery is:
Vt = 9 - I . r ( r = internal resistance)
= 9 - 4.035 x 0.05
= 8.8 V
If current passing the 0.05 Ohm resistance (internal resistance of the battery) is the same as the current passing the circuit, that is 4.035 A
Your question is incomplete, but most probably your question was:
A 9-V battery has internal resistance of 0.05 Ohm. What is the terminal voltage of the battery if it is connected in parallel with a 8-ohm, 4-ohm, 12- ohm resistor? Find the current passing through the 0.05 ohm resistor.
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I will pick the brainiest! Please, and thanks! :) Please give a real answer! :)
Answer:
0.60
Explanation:because you multiply
The angular resolution of a radio wave telescope decreases with
decrease disc size. true or false
The angular resolution of a radio wave telescope decreases with decreased disc size which is false.
The angular resolution of a radio wave telescope actually increases with a decrease in dish size. Angular resolution refers to the ability of a telescope to distinguish between two closely spaced objects in the sky. It is determined by the size of the telescope's aperture or dish.
In general, the larger the aperture or dish size of a telescope, the better its angular resolution. A larger dish collects more incoming radio waves, allowing for finer details to be resolved. Smaller dishes, on the other hand, have limited collecting area and, therefore, lower angular resolution. This is why larger radio telescopes are often preferred for high-resolution observations.
So, to achieve better angular resolution, one would typically need a larger dish size for a radio wave telescope.
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you hold a wire coil so that the plane of the coil is perpendicular to a magnetic field b⃗ .
When a wire coil is held so that its plane is perpendicular to a magnetic field, an electromotive force (emf) is induced in the coil. This phenomenon is known as electromagnetic induction and is described by Faraday's law of electromagnetic induction.
According to Faraday's law, the magnitude of the induced emf can be calculated using the equation:
emf = -N * dΦ/dt
where emf is the induced electromotive force, N is the number of turns in the coil, and dΦ/dt is the rate of change of the magnetic flux through the coil.
The direction of the induced emf follows Lenz's law, which states that the induced current will flow in a direction that opposes the change in magnetic flux.
It's important to note that the magnetic field must be changing in order to induce an emf in the coil. This can be achieved by moving the coil or changing the magnetic field strength. Additionally, the coil must be a closed circuit for the induced emf to generate a current.
If you have specific values for the number of turns in the coil, the magnetic field strength, and the rate of change of magnetic flux, I can assist you in calculating the induced emf.
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HELP PLEASE WHOEVER ANSWERS CORRECT ILL MARK BRAINLIEST!
Which statement best describes codominance and incomplete dominance?
A. In codominance and incomplete dominance, both of the alleles are dominant.
B. In codominance and incomplete dominance, neither of the alleles are dominant.
C. In codominance, both of the alleles are dominant; in incomplete dominance, neither of the alleles is dominant.
D.In codominance, neither of the alleles is dominant; in incomplete dominance, both of the alleles are dominant.
Answer:
no it is not C they are tying to get point the answer is, B: In codominance and incomplete dominance, neither of the alleles are dominant
Answer:
the answer is B
Explanation:
he noisy estabrook stifling team recently adopted a law to reduce the allowed sound level from leaf blowers from the current level of 96 db to 68 db. part description answer save status a. what is the ratio of the new allowed intensity to the previously allowed intensity?
The ratio of the newly allowed intensity to the previously allowed intensity is 3.1623 x 10⁻³.
Banks says a leaf blower makes 64 to 78 decibels at 50 feet. To the operator's ear, the noise is 95-115 decibels. According to Dangerous Decibels, a public-private partnership aimed at reducing hearing loss, typical speech is around 60 decibels, washing machines 75 decibels, and chainsaws 115 decibels.
Performance that fits your needs. Setting the motor to a low speed makes less noise. According to the American Green Zone Alliance, an organization dedicated to zero-emission landscaping, the average fan produces about 65 dB of noise. Compare this to the average noise level of a traditional gas backpack blower.
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Write to your government officials convincing them to invest in global warming prevention. Discuss the 6th Mass extinction event and give examples of previous extinctions.
write abt gobal warmingExplanation:
an anchor rope to anchor a ship to the pier is wrapped 2 full times around a support on the ship. a deck hand can keep the rope from slipping by applying a force of 100 n to the free end. what is the coefficient of friction between the rope and the support?
The coefficient of friction = 0.34 between the rope and the support.
This type of question can be solved using Capstan's equation,
Capstan's equation is generally used to calculate the friction of the coefficients or the yarns. Represented as-
\(T_{1} = T_{0}e^{u}\).
Now according to the term coefficient of friction, we calculate the friction between any two surfaces. It is also referred to as the ratio of the resistive force to the normal force.
The Capstain's equation is given by-
\(T_{load} = T_{hold} e^{uo}\)
u is given as μ and o denotes Φ
the load = 7000
hold support is 100N
Φ = 2\(\pi\) for the whole rotation
Since the rope is wrapped 2 times = 4\(\pi\)
7000 = 100\(e^{u4\pi }\)
log on both sides
⇒ u = log 7000/ 100*4\(\pi\)
⇒ u = 0.338
Therefore, the coefficient of friction between rope and support = 0.34
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please help me!!!!!!
Answer:
3.a. 6m away
b. 3m away
Explanation:
a)
Effort = 10000N
Load=5000 N
effort distance=3 m
load distance=?
We can use the following equation to calculate the distance of the load from the fulcrum:
\(\boxed{\bold{\tt{Load * Load \:Distance = Effort * Effort \:Distance}}}\)
Plugging in the known values, we get:
\(\bold{\tt{5000 N * Load Distance = 10000 N * 3 m}}\)
dividing both side by 5000 N
\(\bold{\tt{Load\: Distance =\frac{ 10000 N * 3 m }{5000 N}}}\)
Load Distance = 6 m
Therefore, the load must be 6 meters away from the fulcrum in order for the crane to be balanced.
b)
If the load is increased to 10,000N, the effort and effort distance do not change.
Effort = 10000N
Load=10,000 N
effort distance=3 m
load distance=?
This is because the moment of the load will increase, and the moment of the effort will remain the same.
The moment of the load is calculated as follows:
\(\boxed{\bold{\tt{Load * Load \:Distance = Effort * Effort \:Distance}}}\)
Plugging value
\(\bold{\tt{10,000 N * Load Distance = 10,000 N * 3 m}}\)
dividing both side by 10,000 N
\(\bold{\tt{Load\: Distance =\frac{ 10,000 N * 3 m }{10,000 N}}}\)
New Load Distance = 3 m
Therefore, if the load is increased to 10,000N, it should be placed 3 meters away from the pivot point to balance the crane.
mosquito buzzing has an intensity level of 40dB, calculate the intensity of this buzzing sound
The intensity of the buzzing sound of the mosquito will be 10⁻⁸ W/m².
What is the intensity of sound?The intensity of a sound is the power of the sound in the unit of Watts divided by the area which the sound covers in square meters. The loudness of a sound is related to the intensity of any given sound to the intensity at the threshold of hearing capacity. Intensity is measured in decibels (dB).
Intensity level = β = 40 dB
The intensity of this mosquito buzzing sound (I).
The formula to find intensity level is
β = 10 log₁₀ (I/I₁₀)
Here, we have to put the values of β and I₀ (10⁻¹² W/m²)
40 = 10 log₁₀ (I/ 10⁻¹²)
I = 10⁻¹²antilog₁₀(4)
I = 10⁻¹²× 10⁴
I = 10⁻⁸ W/m²
Learn more about Intensity here:
https://brainly.com/question/17583145
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