1/do + 1/di = 1/f
blah blah blah why does the answer have to be 20 characters long
A manufacturer of fax machines find that the cost (in dollars) generated by manufacturing x units per week is given by the function c(x)=0.15x^2-39x+4500 how many units should be manufactured to minimize the cost?
The manufacturer should manufacture 130 units per week to minimize the cost. To find the number of units that should be manufactured to minimize the cost, we need to use the concept of calculus and find the minimum point of the function c(x).
First, we need to take the derivative of the function c(x) with respect to x: c'(x) = 0.3x - 39
Next, we set c'(x) = 0 to find the critical point(s) of the function:
0.3x - 39 = 0
0.3x = 39
x = 130
Now, we need to check whether this critical point is a minimum point or not. To do this, we take the second derivative of c(x) with respect to x:
c''(x) = 0.3
Since c''(x) is positive for all values of x, we can conclude that the critical point x = 130 is indeed a minimum point.
Therefore, the manufacturer should manufacture 130 units per week to minimize the cost.
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a wind turbine is an example of what kind of device
a. a generator
b. a transformer
c. a motor
d. an electromagnet
Answer:
it’s an example of a generator.
Explanation:
Answer:
Generator
Explanation:
valid
Urgently needed help!!!
If a cheetah can run at a top speed of 30 m/a. How long would it take the cheetah go cover 600m
Answer: 20 m/a
Explanation: 600/30=20
Question: In an average year, the Creek drainage basin (150 mi^2) receives 550 mm of precipitation. Has an average stream discharge of 1.8 m^3s^-1. (1 mile = 1.609 km).
Please develop the water budget equation for this problem.
The water budget equation for the Creek drainage basin is: Precipitation = Stream discharge + Evapotranspiration ± Change in storage.
To develop the water budget equation for this problem, we need to account for the inputs and outputs of water in the Creek drainage basin. The water budget equation can be expressed as,
P = Q + ET ± ΔS
P = Precipitation input (mm)
Q = Stream discharge (m³/s)
ET = Evapotranspiration (mm)
ΔS = Change in storage (mm)
First, let's convert the units of the given values,
Precipitation input (P) = 550 mm
Stream discharge (Q) = 1.8 m³/s
Now, let's determine the evapotranspiration (ET) and change in storage (ΔS) terms. However, the problem doesn't provide information about ET, so we cannot calculate it accurately. The problem doesn't provide information about ΔS, so we cannot calculate it accurately.
Given these limitations, we can write the simplified water budget equation for this problem,
550 mm = 1.8 m³/s + ET ± ΔS
Please note that without information about evapotranspiration and changes in storage, we cannot fully determine the water budget for the Creek drainage basin.
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4.) A car with mass 1352 kg is being towed across the parking lot by a tow truck using a horizontal cable with a force of 7820 N. The coefficient of kinetic friction between the car tires and pavement is 0.56. Determine whether a net force is acting on the car and if so, at what rate is the car accelerating across the parking lot?
From the calculation, there is a net force that acts on the car and then the acceleration that is produced by the net force is 0.296 m/s^2.
What is the net force?The term net force refers to the force that is acting on an object that makes it to move. We have to recall that the force of friction is the force the limits the motion of an object. In other words, it is the force of friction that makes a body not to be able to move and this must be overcome by the forward force when it is greater than the friction force.
Now;
Mass of the car = 1352 kg
Forward force = 7820 N
Coefficient of friction = 0.56
Frictional force = μmg
= 0.56 * 1352 kg * 9.8 m/s^2
= 7419.8 N
Net force = Forward force - Frictional force
= 7820 N - 7419.8 N
= 400.2 N
Then;
Net force = ma
m = mass
a = acceleration
a = Net force/m
a = 400.2 N/ 1352 kg
a = 0.296 m/s^2
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A sailboat runs before the wind with a constant speed of 3.2m/s2 in a direction 42 degree north of west. How far (a) west and (b) north has the sailboat traveled in 25min?
Given:
Speed = 3.2 m/s²
Direction, θ = 42 degrees north of west.
Let's solve for the following:
(a) How far west has the sailboat traveled in 25 minutes.
We have the free body diagram below:
To find the distance, let's first find the x-component and y-component of the velocity.
x-component:
\(\begin{gathered} Vx=-V\cos \theta \\ V_x=-3.2\cos 42 \\ V_x=-2.378\text{ m/s} \end{gathered}\)y-component:
\(\begin{gathered} V_y=V\sin \theta \\ V_y=3.2\sin 42 \\ V_y=2.141\text{ m/s} \end{gathered}\)To find the distance travelled west, we are to find the distance in the x direction.
Apply the formula:
\(d=|V_x|t\)Where:
|Vx| = |-2.378 m/s| = 2.378 m/s
t is the time is seconds = 25 x 60 = 1500 seconds
Thus, we have:
\(\begin{gathered} d=2.378\ast1500 \\ \\ d=3567.1\text{ m }\approx\text{ 3.6 km} \end{gathered}\)The distance traveled west in 25 minutes is 3.6 km.
• (b) How far north has the sailboat traveled in 25 minutes.
Here, we are to find the vertical distance using the y-component.
Apply the formula:
\(d=|V_y|t\)Where:
Vy = 2.141 m/s
t = 1500 seconds
Thus, we have:
\(\begin{gathered} d=2.141\ast1500 \\ \\ d=3211.5\text{ m }\approx3.2\text{ km} \end{gathered}\)The sailboat traveled 3.2 km in the north direction.
ANSWER:
(a) 3.6 km
(b) 3.2 km
Consider a beaker with two holes X and Y near the base, such that hole X is ABOVE hole Y. The holes are closed with water-resistant tape and the beaker is filled with water.
Both the holes are then uncovered at the same time. If water from hole X comes out in a stream that touches the ground at a distance of 5 cm away from the beaker, how far from the beaker will the stream from hole Y touch the ground?
1. exactly 5 cm
2. less than 5 cm
3. more than 5 cm
4. (It will be more or less than 5 cm depending on the distance between the two holes.)
As the height of the hole increases, the velocity of the stream increases, results in a higher distance from the beaker. Therefore, the distance of the stream from the hole Y will be less than that from X thus, less than 5 cm is correct.
What is stream speed ?The speed of stream can be determined using the height and acceleration due to gravity g. We can use the equation for velocity using the parameters g and h.
v = √2gh
Therefore, as the height h increases, v increases.
Similarly the distance s = vt
therefore, the distance increases with v.
Here, the hole x is above the hole Y. Then the stream from X will have the greater speed and it covers greater distance (5 cm )from the beaker. Stream from Y slow compared to that in X hence covers a distance less than 5 cm. Hence, option 2 is correct.
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What is nearsightedness usually correlated to?
a. cylindaral lenses
b. speherical lenses
c. achromatic lenses
d. diverging lenses
e. converging lenses
Nearsightedness, also known as myopia, is usually correlated with (a) cylindrical lenses or (b) spherical lenses.
(a) Cylindrical lenses: Nearsightedness can be caused by a refractive error where the cornea or lens of the eye has uneven curvature, resulting in the light focusing in front of the retina instead of directly on it. Cylindrical lenses, also known as astigmatism-correcting lenses, are prescribed to correct the uneven curvature and provide clearer vision.
(b) Spherical lenses: In many cases of nearsightedness, the curvature of the cornea or lens causes the light to be focused in front of the retina, resulting in blurred distance vision. Shttps://brainly.com/question/25676535pherical lenses are used to correct this refractive error by altering the path of light entering the eye, helping it to focus directly on the retina.
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what is the angular velocity (as a vector) for a rigid body rotating ccw at 20 rad/s on the x-y plane
The angular velocity of a rigid body rotating in the x-y plane can be represented as a vector perpendicular to the plane of rotation and pointing in the direction of rotation.
For a counterclockwise (CCW) rotation, the direction of the angular velocity vector is given by the right-hand rule, which states that if you curl the fingers of your right hand in the direction of rotation, your thumb points in the direction of the angular velocity vector.
For a rigid body rotating CCW at 20 rad/s on the x-y plane, the angular velocity vector can be represented as:
w = 20 * i (where i is the unit vector in the x-direction)
This means that the angular velocity vector points in the positive x-direction, perpendicular to the x-y plane.
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Juan and Ally each have lawns the same size. Juan mows his lawn in one hour, but Ally
mows her lawn in two hours. Which statement is true?
Answer:
Ally has a harder time
ally takes more time
juan is quick
juan is more experienced
if none of those are awnser choices what are the awnser choices?
Explanation:
explain why EMF of a cell is greater than the potential difference across the cell when it is passing a current an external resistance
The EMF of a cell represents its maximum potential difference, while the potential difference across the cell when passing a current through an external resistance is reduced due to the internal resistance of the cell.
The electromotive force (EMF) of a cell refers to the maximum potential difference that the cell can provide when it is not connected to any external circuit. It is essentially the voltage produced by the chemical reactions occurring within the cell. On the other hand, the potential difference across the cell when it is passing a current through an external resistance is often lower than the EMF.
This difference in values can be attributed to the internal resistance of the cell. When a current is drawn from the cell, it encounters resistance within the cell itself due to factors such as the resistance of the electrolyte and the internal structure of the cell. This internal resistance causes a voltage drop within the cell, reducing the potential difference across the external circuit.
According to Ohm's Law (V = I * R), when current flows through a resistance (R), a voltage drop (V) occurs. In this case, the internal resistance of the cell causes a voltage drop within the cell itself. Hence, the potential difference across the external resistance is slightly lower than the EMF of the cell.
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What is Law of Conservation of Matter explain using an example?.
The law of conservation of matter and the law of conservation of energy essentially state that neither type of energy can be created nor destroyed, only transformed. The process by which grapes ferment to produce wine is an illustration of the law of conservation of matter. The amount of matter in the reactants in the bottle doesn't change, but its chemical form does.
It is a fundamental tenet of classical physics that matter cannot be created or destroyed in an isolated system; rather, it can only be changed from one form to another. This means that despite the apparent changes that are seen, no matter is lost during any chemical or physical change that may occur with any substance.
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Two cars each have a mass of 1050 kg. If the gravitational force between
them is 2. 27 x 10-7N, how far apart are they? G = 6. 67 x 10-11 N. (m/kg)2
● Two balloons with the same amount of charge repel each other with 0.0648 N
of force when held at a separation distance of 28.2 cm. Determine the
quantity of charge on the balloons. (Use k = 9x10⁹ Nm²/C²)
The magnitude of the charge that is carried by each of the balloons is 7.6 *10^-7 C.
What is Coulomb's law?The link between the electric charges of two objects and the force acting between them is described by Coulomb's law, a fundamental principle of electrostatics.
We know that according to the Coulomb's law we can be able to write that;
F = Kq^2/r^2
k is a proportionality constant called Coulomb's constant, which has a value of approximately 9 x 10^9 N·m^2/C^2 in a vacuum.
0.0648 = 9x10⁹ q^2/(0.079524)
q = √0.0648 (0.079524)/9x10⁹
q = 7.6 *10^-7 C
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a gas cylinder with a movable piston has a pressure of 100 torr and a volume of 1.0 l. determine the pressure of the gas if it is compressed to a volume of 0.75 l at constant temperature.
The pressure of the movable piston cylinder is found to be 133.33 after the gas is reduced to 0.75L.
If the temperature is constant then the relation between the initial and the final temperature is given as,
P₁V₁(Initial) = P₂V₂(Final)
If it given that the movable piston cylinder has pressure of 100 torr and volume 1L, temperature is kept constant and the volume is reduced to 0.75 L, the final pressure will,
100 x 1 = P₂ x 0.75
P₂ = 133.33 Torr.
The pressure of the compressed gas is 133.33 torr.
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Help me please ()- :))
Answer:
A pardon
Explanation:
Hope this helps
Answer:
that would probably be a A.Pardon
For cadmium, Cd, the heat of fusion at its normal melting point of 321 °C is 6.1 kJ/mol.The entropy change when 2.16 moles of solid Cd melts at 321 °C, 1 atm is _______ J/K.
For cadmium, Cd, the heat of fusion at its normal melting point of 321 °C is 6.1 kJ/mol. The entropy change when 2.16 moles of solid Cd melts at 321 °C, 1 atm is 22.2 J/K.
To calculate the entropy change when 2.16 moles of solid Cd melts at 321 °C, we need to use the formula:
ΔS = ΔH_fus / T
Where ΔH_fus is the heat of fusion (6.1 kJ/mol) and T is the melting point in Kelvin (594 K).
First, we need to convert the moles of Cd to grams:
2.16 moles Cd x 112.41 g/mol = 242.8 g Cd
Next, we can use the heat of fusion to calculate the amount of energy required to melt this amount of Cd:
ΔH = n x ΔH_fus = 2.16 mol x 6.1 kJ/mol = 13.18 kJ
Finally, we can plug these values into the entropy change formula:
ΔS = ΔH / T = 13.18 kJ / 594 K = 22.2 J/K
Therefore, the entropy change when 2.16 moles of solid Cd melts at 321 °C, 1 atm is 22.2 J/K.
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in your own words, explain how we automatically process: space time frequency
We automatically process space time frequency by how events occur and how they interact with each other.
Space refers to the amount of physical space between objects or events. Time is the measurement of the duration of events or processes. Frequency is a measure of how often a particular event or process occurs. By understanding these three components, we can accurately process the space, time, and frequency of events.
We automatically process space, time, and frequency through our brain's ability to quickly analyze and interpret sensory information. Our perception of space, or the distance between objects, is determined by our brain's ability to analyze visual cues such as size, depth, and perspective.
Our perception of time, or the duration of events, is determined by our brain's ability to track the passage of time through internal and external cues. Our perception of frequency, or the rate at which events occur, is determined by our brain's ability to analyze the number of occurrences of an event within a given period of time. All of these processes occur automatically and unconsciously, allowing us to quickly and accurately perceive our environment.
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Why does water boil at a lower temperature in the mountains?
Answer:
in the mountains its cold
is a 10msun black hole larger than a 1msun black hole
No, a 10msun black hole is not larger than a 1msun black hole. The size of a black hole is determined by its mass, and a 10msun black hole is simply ten times more massive than a 1msun black hole.
However, both black holes have a singularity (the point of infinite density) that is infinitely small and surrounded by an event horizon (the point of no return) that expands proportionally to the mass of the black hole. Therefore, both black holes have the same "size" in terms of their event horizon.
1. The term "Msun" represents a unit of mass, specifically the mass of the Sun. So, a 1Msun black hole has the mass of one Sun, while a 10Msun black hole has the mass of 10 Suns.
2. A black hole's size is typically characterized by its event horizon, which is the boundary beyond which nothing, not even light, can escape its gravitational pull.
3. The size of a black hole's event horizon (also known as the Schwarzschild radius) is directly proportional to its mass. Therefore, a black hole with a higher mass will have a larger event horizon.
In summary, a 10Msun black hole has a larger event horizon and is thus larger than a 1Msun black hole.
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what is the Mathematical proportion that relates electrostatic force and displacement a pair of charged particles?
A) direct linear
B) quadratic
C) inverse square
D) inverse
Why?
The mathematical proportion that relates electrostatic force to the displacement of a pair of charged particles is:
C) inverse square
Why?
The proportion of the electrostatic force (F) between two electric charges is inversely proportional to the square of the distance (d) between them.
The mathematical expression for the force between two charges is:
F (q1q2)/d2, where q1 and q2 are the electric charges of the two charged particles, and d is the distance between them.
As we can see, the force between two electric charges is inversely proportional to the square of the distance between them. Hence, the proportion that relates electrostatic force to the displacement of a pair of charged particles is inverse square.
Option C is the correct answer.
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A general partnership is buying a piece of real estate to expand its facilities and will finance a portion of the purchase amount with a level debt service mortgage. The partnership wants to protect itself in the event of the unforeseen death of one of the general partners, which could result in the partnership being liquidated. As a safety measure, the partnership should buy a:
To protect itself in the event of the unforeseen death of one of the general partners, the partnership should consider purchasing a key person insurance policy.
In a general partnership, the death of a partner can have significant implications, potentially leading to the liquidation of the partnership. To mitigate this risk, the partnership should consider obtaining a key person insurance policy. Key person insurance is a type of life insurance policy that covers the lives of key individuals within an organization, such as partners or key employees, whose absence could have a substantial impact on the business.
By purchasing a key person insurance policy, the partnership can ensure that in the event of the death of a general partner, funds will be available to compensate for the loss and assist in covering the financial obligations associated with the real estate purchase. The policy proceeds can be used to buy out the deceased partner's interest or provide a financial cushion to facilitate the continuation of the partnership's operations.
It is essential for the partnership to carefully assess its insurance needs, including the amount of coverage required, the duration of the policy, and the premium costs associated with it. Consulting with an insurance professional or financial advisor can help the partnership determine the most suitable key person insurance policy to safeguard its interests and protect against potential liquidation due to the untimely death of a general partner.
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What is one reason scientists have developed a system to classify organisms
Better identification of novel species is made possible by categorization.
Why would scientists create a system of classification for organisms?Living things are categorised by scientists in order to organise and make sense of the astounding diversity of life. We can better comprehend how different living entities are connected to one another by classifying them.To better comprehend the evolutionary relationships among various creatures, scientists classify organisms according to taxonomy. We may learn the fundamentals about a group of creatures and use that information to our advantage when researching the organism later on by classifying animals that are similar in evolutionary terms.Better identification of novel species is made possible by categorization.To learn more about organisms refer to:
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A horse pulls a cart with force F. As a result of this force the cart accelerates with constant acceleration. The
magnitude of the force that the cart exerts on the horse
A) is zero newtons. B) greater than the magnitude of F. C) equal to the magnitude of F. D).
less than the magnitude of F.
Answer:
c. equal equal to the magnitude of f
A particle of charge 4.42 x 10^6 C is 9.70 cm distant from a second particle of charge 1.88 x 10^6 C. Calculate the magnitude of the electrostatic force between the particles.
The magnitude of the electrostatic force between the given two charged particles is 7.94x10^24 N.
The electrostatic force is the force of attraction or repulsion between two charged particles. It is also called Coulomb’s force or Coulomb’s interaction.
F=k x q1xq2/ r^2
The charge of a particle (q1) = 4.42x10^6 C
The charge of the second particle (q2) = 1.88 x 10^6 C
distance between the two particles = 9.70 cm = 0.097m
k = coulomb constant= 9*10^9 kg
electrostatic force between the (F) = ?
F= 9 x 10^9 x 4.42x10^6 x 1.88 x 10^6 / (0.097)^2
F = 7.94x10^24 N (here N = Newton,which is the unit of force)
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How many more neutrons are in a I SOTOPE of copper-14 than in standard carbon atom
Answer:
2 more neutrons
Explanation:
To obtain the answer to the question, let us calculate the number of neutrons in carbon–14 and standard carbon (i.e carbon–12). This can be obtained as follow:
For carbon–14:
Mass number = 14
Proton number = 6
Neutron number =?
Mass number = Proton + Neutron
14 = 6 + Neutron
Collect like terms
14 – 6 = Neutron
8 = Neutron
Neutron number = 8
For carbon–12:
Mass number = 12
Proton number = 6
Neutron number =?
Mass number = Proton + Neutron
12 = 6 + Neutron
Collect like terms
12 – 6 = Neutron
6 = Neutron
Neutron number = 6
SUMMARY:
Neutron number of carbon–14 = 8
Neutron number of carbon–12 = 6
Finally, we shall determine the difference in the neutron number. This can be obtained as follow:
Neutron number of carbon–14 = 8
Neutron number of carbon–12 = 6
Difference =?
Difference = (Neutron number of carbon–14) – (Neutron number of carbon–12)
Difference = 8 – 6
Difference = 2
Therefore, carbon–14 has 2 more neutrons than standard carbon (i.e carbon–12)
Why is the moon’s force of gravity less than that of the earth?
Why is the moon’s force of gravity less than that of the earth?
Answer:-Since the moon has a smaller mass than the earth, the moon has less gravity than the earth. Gravity is related to mass.
Larger mass = larger gravity
Smaller mass = lesser gravity
Moon has small mass, therefore less gravity.
A 8 kg block moving to the right at 4 m/s collides with a 5 kg block moving to the left at -9 m/s, and the two stick together. Find the final velocity.
Answer:
V = - 1 m/s
Explanation:
Given:
m₁ = 8 kg
V₁ = 4 m/s
m₂ = - 9 m/s
__________
V - ?
Law of conservation of momentum for inelastic impact:
m₁·V₁ + m₂·V₂ = (m₁ + m₂)·V
8·4 - 5·(-9) = (8 + 5)·V
- 13 = 13·V
V = - 13 / 13 = - 1 m/s
Sticky bars move to the left at a speed of 1 m/s
Which of the following accurately describes the energy stored on a parallel plate capacitor?A) The energy is inversely proportional to the charge stored on the capacitor.
B) The energy is directly proportional to the potential across the capacitor.
C) The energy is directly proportional to the capacitance of the capacitor.
F) The energy in proportional to the square the charge stored on the capacitor.
The energy is directly proportional to the capacitance of the capacitor, accurately describes the energy stored on a parallel plate capacitor.
What is capacitor?
A capacitor is an electronic component that stores electrical energy in an electric field. It consists of two conductive plates separated by an insulating material known as a dielectric. When a voltage is applied across the plates, it creates an electric field between them, which causes opposite charges to accumulate on the plates. The amount of charge that a capacitor can store is determined by its capacitance, which is a measure of the capacitor's ability to store charge for a given voltage. Capacitors are used in a variety of electronic circuits to filter out unwanted frequencies, smooth out power supplies, and store electrical energy for later use. They come in many different sizes and shapes, including ceramic, electrolytic, and tantalum capacitors.C) The energy is directly proportional to the capacitance of the capacitor.
The energy stored on a parallel plate capacitor is given by the formula:
E = 1/2 * C * V^2
where E is the energy stored, C is the capacitance of the capacitor, and V is the potential difference across the capacitor.
This formula shows that the energy stored on a parallel plate capacitor is directly proportional to the capacitance of the capacitor. Therefore, option C accurately describes the energy stored on a parallel plate capacitor.
Option A is incorrect because the energy stored is directly proportional to the potential difference across the capacitor, not inversely proportional to the charge stored.
Option B is incorrect because although the energy stored is related to the potential difference across the capacitor, it is not directly proportional to it.
Option F is also incorrect because the energy stored is proportional to the square of the potential difference across the capacitor, not the square of the charge stored.
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If you were to start your lab again by doubling the voltage value of the source, would your proof of Kirchhoff's Laws still be valid? Justify your answer
Answer:
cellar·⇔⇔⇔⇔⇔ A
Explanation:
i took it