Question 822367:A motorboat traveling with the current went 105 mi in 5 h. Traveling against the current, it took 7 h to travel the same distance. Find the rate of the boat in calm water and the rate of the current.

Answer:

 y =  \(-\frac{1}{4}\)x + 3

Explanation:

The equation of a straight line is given as:

              y  =  mx + c

y and x are the coordinates

m is the slope

c is the y -intercept

 The y-intercept = 3;

Slope  = \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

x₁ = 0

x₂ = 4

y₁ = 3

y₂ = 2

 Slope = \(\frac{2-3}{4 -0 }\)  = \(-\frac{1}{4}\)

       y = mx + c

       y =  \(-\frac{1}{4}\)x + 3

Answer:

○ 0 \(\checkmark\)

Explanation:

Even if the athelete runs four laps of a 400 m track, its displacement will be 0 because the displacement is the shortest distance from its to final position. And, here the final and initial position is same since he comes to its initial position after covering certain distance. So, displacement is 0.

Answer:

answer is c

Explanation:

Answer:

The can would be heavier.

Explanation:

The more rust is on the can, (Or object) the more it weights it down.

Answer:

The answer would be heavier, though it depends upon the type of metal. Rusting is essentially corrosion. Rust is often caused by a piece of metal getting soaked in water and then being exposed to oxygen. The rust will add more weight to the can so it becomes heavier.

Answer:

i) Power = Force * Velocity = 1100 * 15 = 16500 W = 16.5 kW(ii)  Find the value of k first: F = 400 + k(15^2)                                              k = 28/9    F = 400 +(28/9)(30^2) = 320

Explanation:

The three characteristics that all the plants most likely share are: have xylem and phloem; lack pollen. Option D.

In seed plants, xylem and phloem are essential vascular tissues responsible for the transport of water, nutrients, and sugars throughout the plant. Xylem transports water and minerals from the roots to the rest of the plant, while phloem carries sugars and other organic compounds from photosynthetic regions to other parts of the plant.

The absence of pollen indicates that these plants do not reproduce through the production and dispersal of pollen grains. Instead, they likely reproduce through other means, such as the production of seeds.

This combination of having xylem and phloem while lacking pollen suggests that the plants in question are likely gymnosperms. Gymnosperms are a group of seed plants that include conifers, cycads, ginkgoes, and others. These plants typically produce seeds that are not enclosed within a fruit, and they rely on other methods such as wind or insects for pollination.

It is important to note that this conclusion is based on the provided information and is subject to change depending on further details about the specific characteristics of the gathered plants. SO Option D is correct.

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The best way to study warm (1000 K) young stars forming behind an interstellar dust cloud would be to use infrared light. So option d is correct.

Interstellar dust clouds can block or scatter shorter-wavelength light, such as blue light and ultraviolet light, making it difficult to observe objects behind them. However, longer-wavelength infrared light can penetrate through the dust cloud with less scattering and absorption, allowing us to study the objects hidden behind the dust.

Infrared light is particularly effective for studying warm objects, as they emit most of their radiation in the infrared range. By using infrared telescopes and detectors, astronomers can observe the thermal radiation emitted by the young stars and study their formation and evolution processes.Therefore option d is correct.

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Solution :

Using the Gauss law, the electric field intensity of a sphere is given by :

\($E. 4 \pi r^2 = \frac{Q_{enc}}{\epsilon_0}$\)

\($E = \frac{Q_{enc}}{4 \pi r^2 \epsilon_0}$\)

Now the enclosed charge inside the sphere (r<a) is

\($Q_{enc}= \rho V$\)

\($Q_{enc}= \rho \left( \frac{4}{3} \pi r^3 \right)$\)

Hence, the electric field intensity becomes as follows :

\($E= \frac{\rho \left(\frac{4}{3} \pi r^3\right)}{4 \pi \epsilon_0 r^2}$\)

\($E =\frac{\rho r}{3 \epsilon_0}$\)

Thus, the electric field inside the sphere is given by :

\($\vec {E} = \frac{\rho \vec{r}}{3 \epsilon_0}$\)

The power factor of the circuit is 0.374 or 37.4%.

The power factor of a series RLC circuit can be calculated as follows:

1. Calculate the total impedance of the circuit:

   Z = R + j(X_L - X_C)

   where R is the resistance, X_L is the inductive reactance, and X_C is the capacitive reactance.

2. Calculate the current in the circuit:

   I = V/Z

   where V is the voltage of the power line.

3. Calculate the real power dissipated by the resistor:

   P = I^2 R

4. Calculate the apparent power of the circuit:

   S = V I

5. Calculate the power factor:

   pf = P/S

Plugging in the values given in the problem, we get:

1. Z = 100 + j(2π × 60 × 0.5 × 10^-3 - 1/(2π × 60 × 10^-6)) = 100 + j47.73 Ω

2. I = 120 / |Z| = 1.78 A

3. P = I^2 R = 80 W

4. S = V I = 213.6 VA

5. pf = P/S = 0.374

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The mechanical advantage of a pulley is the ratio of the output force to the input force.

For example, if a pulley is used to lift a weight of 100 pounds, and the input force is 10 pounds, then the mechanical advantage is 10:1 (100/10).

This means that for every 10 pounds of input force, the pulley can lift 100 pounds of weight. The mechanical advantage of a pulley is determined by the number of strands of rope that are used in the pulley system. The more strands of rope, the higher the mechanical advantage will be.

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Answer:

0

Explanation:

The dancer starts and ends at the same place

EAC( Low-energy lightbulb )=18.47 EAC( Conventional lightbulb )=7.33 Conventional lightbulb is cheaper to operate. Option D

To calculate the Equivalent Annual Costs (EAC), we need to consider the initial cost, maintenance costs, and the present value of future costs, taking into account the discount rate.

The EAC (Equivalent Annual Cost) is calculated by summing up the annual costs of the lightbulb over its lifetime, discounted at the real discount rate of 4%.

For the low-energy lightbulb:

EAC = Cost of bulb + Present value of annual electricity cost

= $3.60 + ($2.00 / (1 + 0.04)^1) + ($2.00 / (1 + 0.04)^2) + ... + ($2.00 / (1 + 0.04)^9)

≈ $18.47

For the conventional lightbulb:

EAC = Cost of bulb + Present value of annual electricity cost

= $0.60 + ($7.00 / (1 + 0.04)^1) + ($7.00 / (1 + 0.04)^2) + ... + ($7.00 / (1 + 0.04)^1)

≈ $7.33

Since the EAC for the low-energy lightbulb is $18.47 per year and the EAC for the conventional lightbulb is $7.33 per year, the conventional lightbulb is cheaper to operate assuming a burnt-out bulb is replaced by an identical bulb.

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According to the conservation of angular momentum, if an ice-skater starts spinning with her arms out wide, and then slowly pulls them close to her body, this will cause her to spin faster. The conservation of angular momentum states that the total angular momentum of a system remains constant as long as no external torque acts on it. This means that if a spinning object pulls its arms closer to its body, its rotational speed will increase.

This is because the moment of inertia of the system is reduced as the mass is brought closer to the axis of rotation. Since the angular momentum of the system must remain constant, an increase in rotational speed must occur to compensate for the decrease in moment of inertia. The principle of conservation of angular momentum can be observed in many physical systems, such as figure skating, where an ice skater spinning with her arms extended can increase her rotational speed by pulling her arms closer to her body. This is because the total angular momentum of the skater is conserved, and the decrease in moment of inertia is compensated by an increase in rotational speed.

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The line integral of the magnetic field on a closed path surrounding a wire has the value 9.8 μT⋅m The current in the wire is 4.9 μA.

The line integral of the magnetic field on a closed path surrounding a wire is equal to the product of the current through the wire and the enclosed area. In this case, we are given that the line integral has a value of 9.8 μT⋅m. To find the current in the wire, we need to know the enclosed area.

Assuming that the wire is a straight conductor, the enclosed area is simply the area of a circle with a radius equal to the distance from the wire to the closed path. Let's call this distance r. Then, the enclosed area is πr^2.

Using the formula for the line integral, we can write:

9.8 μT⋅m = I(πr^2)

Solving for I, we get:

I = (9.8 μT⋅m) / (πr^2)

We are not given the value of r, but we can assume that it is small enough that we can approximate the wire as a point source. In this case, we can use the right-hand rule to determine the direction of the magnetic field around the wire, which is perpendicular to the wire and in the direction of the fingers of the right hand when the thumb points in the direction of the current.

Assuming that the closed path is a circle centered on the wire, we can use the formula for the circumference of a circle to find the length of the path. Let's call this length L. Then, we have:

L = 2πr

Substituting this into the expression for I, we get:

I = (9.8 μT⋅m) / (2πr) * (πr^2)

Simplifying, we get:

I = 4.9 μA

Therefore, the current in the wire is 4.9 μA.

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Answer:

heat - a form of energy that is hot. It can be transferred. It is used to describe the temperature of something.

thermal energy - a form of energy that is hot. It can be transferred.

conduction - when heat or thermal energy is being transferred directly though an object

convection - transfer of heat caused by a thicker and hotter fluid. This fluid causes hot things to rise and cold things to sink. This results in a transfer of heat. Example: lava

radiation - gives off energy through waves or a material medium

motion ... increases ... liquid. (molecules are always in motion, even within a solid, though they move slowly. When a substance is heated, those molecules move faster, which is why molecules in gas move so fast. To get gas, you have to heat up liquid.)

hope this helps!

Weight is defined as the force on an object that results from acceleration or gravity.

It can be calculated as:

W=mg

W= weight of an object (Newtons)

m = mass of the object (kilograms)

g = gravity (m/s^2)

given the information we can rearrange for m:

\(m=\frac{3920N}{9.8m/s^2}\)

\(m=400 kg\)

Answer:

velocity has direction and acceleration doesn't

The various colors displayed in the flame of a burning log indicate the temperature of the fire and the chemicals present in the wood like blue flame, yellow or orange flame, Green or blue-green flames, and red or purple flames.

A blue flame indicates a high temperature and complete combustion, while a yellow or orange flame indicates incomplete combustion and the presence of carbon monoxide. Green or blue-green flames can indicate the presence of copper, while red or purple flames can indicate the presence of potassium or calcium. Overall, the color of the flame can provide clues about the chemical composition and quality of the wood being burned.

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When two rope segments pull up on the load in the single movable pulley, the optimal mechanical advantage is 2. This sort of pulley does not change the direction of the applied force, but it does increase it by a factor of two.

There are two methods for calculating a pulley system's mechanical advantage.

The mechanical advantage may be calculated simply by counting the number of falls (or active lifting ropes) that are really attached to the load. You may also split the effort distance by the load distance.

Assuming an ideal rope and pulley system with a mechanical advantage of  \(2.00\) , the output load that can be lifted with an input force of \(200 N\) can be calculated using the formula:

Output force = Input force x Mechanical advantage

Where the mechanical advantage is given as \(2.00\)  .

Thus, the output force is:

Output force \(= 200 N \times 2.00 = 400 N\)

Therefore, with an input force of \(200 N\)  , the rope and pulley system can lift an output load of up to \(400 N\) .

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Compounds are chemically combined pure substances with new properties, while mixtures are physically combined substances that retain their individual properties.

Compare and contrast compounds and mixtures (select all that are true):

1. Compounds are pure substances, but mixtures are not.

This statement is true. Compounds are pure substances formed by the chemical combination of two or more elements in a fixed ratio, while mixtures are combinations of two or more substances that are not chemically combined and can be physically separated.

2. When two elements bond together into a compound they have new properties.
This statement is true.

When elements chemically bond to form a compound, they create a substance with unique properties different from the individual elements.

3. When two substances are mixed together in a mixture, they keep their individual properties.

This statement is true.

In a mixture, the substances retain their individual properties because they are not chemically combined.

4. Compounds are physically combined.

This statement is false.

Compounds are chemically combined, as elements form chemical bonds to create a compound with new properties.

5. Mixtures are chemically combined.

This statement is false.

Mixtures are physically combined, as the substances in a mixture are not chemically bonded and retain their individual properties.

In summary, compounds are chemically combined pure substances with new properties, while mixtures are physically combined substances that retain their individual properties.

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The linear probability model contains heteroskedasticity unless b. the independent variables are binary

What is Heteroskedasticity?

Heteroskedasticity refers to the violation of the assumption in a linear regression model that the variance of the error term is constant across all levels of the independent variables. In other words, it means that the variability of the error term is not the same for all observations.

The linear probability model is a specific type of linear regression model used when the dependent variable is binary (taking on values of 0 or 1). In this model, the assumption of constant variance (homoskedasticity) is violated unless the independent variables are binary.

When the independent variables in the linear probability model are binary, the error term's variance is constant for each level of the binary variables. This ensures that heteroskedasticity is not present in the model.

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Solution :

A vector is defined as an element that has magnitude of some measure and direction.

It is given there is vector 'd' which has magnitude 2.6 m and its direction is towards north.

a). -d

    The magnitude of the vector '-d' is 2.6 m and its direction is reversed, i.e. its direction is towards south.

b). d/2.0

  The magnitude of the vector 'd/2.0' is 1.3 m and its direction is towards north.

c). - 2.5d

  The magnitude of the vector increases by 2.5 times i.e. 2.5 x 2.6 = 6.5 m and the direction is towards south.

d). 5.0d

    The magnitude of the vector increases by 5 times i.e. 5 x 2.6 = 13 m and the direction is towards north.

Answer:

The speed at which a planet orbits the Sun changes depending upon how far it is from the Sun. When a planet is closer to the Sun the Sun’s gravitational pull is stronger, so the planet moves faster. When a planet is further away from the sun the Sun’s gravitational pull is weaker, so the planet moves slower in its orbit.

To achieve a fundamental frequency of 640 Hz, the pipe needs to be approximately 0.268 meters long.

To determine the length of a pipe open on both ends that has a fundamental frequency of 640 Hz, you can use the following formula:

Length (L) = v / (2 × f)

Here, 'v' represents the speed of sound in air (approximately 343 m/s), and 'f' represents the desired fundamental frequency (640 Hz). Plugging in the values:

L = 343 / (2 × 640)

L ≈ 0.268 meters

So, the pipe needs to be approximately 0.268 meters long to achieve a fundamental frequency of 640 Hz.

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To estimate the Coulomb charging energy for a metallic sphere embedded in silicon, we can use the formula for the electrostatic energy of a charged capacitor. The charging energy, also known as the electrostatic energy or the electrostatic potential energy, is given by:
E = (1/2) * Q^2 / C
Where:
E is the charging energy,
Q is the charge on the metallic sphere, and
C is the capacitance of the system.

For a metallic sphere embedded in silicon, the capacitance can be approximated by the parallel plate capacitor formula:
C = ε0 * A / d
Where:
C is the capacitance,
ε0 is the vacuum permittivity (8.854 x 10^-12 F/m),
A is the surface area of the metallic sphere (4πr^2, where r is the radius), and d is the distance between the metallic sphere and the surrounding medium (in this case, silicon).
To estimate the charging energy, we need to know the charge on the metallic sphere. Without that information, we cannot provide a specific value for the Coulomb charging energy. The charging energy depends on the magnitude of the charge, which can vary depending on the system and the charging process.
If you have the charge value for the metallic sphere, please provide it so that we can calculate the charging energy.

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Answer:

Oh, I didn't know if u meant decigram or decagram! So for decagram there would be 10 grams and deci gram is 0.1 grams.  Hope this helps!!

Explanation:

Answer:

Hey there!

There are 10 grams in one decagram.

Let me know if this helps :)

Answer:

mg i would say an atomic number of 12 the um i would say stands for micrometer

Explanation: