For the data in Problem 16-2 (problem 2 on this homework) calculate the expected value of the equivalent uniform annual construction cost per mile. Problem 2 is as follows:
A road between Fairbanks and Nome, Alaska will have a most likely construction cost of $4 million per mile. Doubling this cost is considered to have a probability of 30%, and cutting the cost by 25% is considered to have a probability of 10%. The state's interest rate is 8% and the road should last 40 years. What is the probability distribution of the equivalent uniform annual construction cost per mile?

This implies that the oil has a higher index of refraction than water.

The dark spots in the interference pattern that are observed when a thin oil film spreads out on a puddle of water are due to destructive interference between the light waves reflected from the top and bottom surfaces of the film.

The relationship between the thickness of the film and the wavelength of the light that is reflected is governed by the equation for the path difference in thin film interference. This equation includes the refractive indices of both the oil and water, as well as the thickness of the film. When the dark spot is observed, the thickness of the film at that point and the wavelength of the light being reflected are known.

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The statement 'savanna regions developed during the Triassic period' is TRUE. It is a type of biome.

A savanna is a type of grassland biome located on low latitudes, in which grasses are the dominant vegetation.

Savana biome is characterized by warm temperatures all year and high levels of precipitation during the summer.

Moreover, the Triassic period is a geological period that ended 145 million years (Mya) ago.

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Answer:

true

Explanation:

Answer:

-0.08m/s²

Explanation:

Answer:

North Korea I'm pretty sure

Answer:

C

Explanation:

C should be the right answer

At a scenic overlook, you can hear an echo only if you shout in one particular direction because the presence of a suitable reflecting surface is necessary for the sound waves to bounce back and reach your ears as an echo.

Sound waves propagate through the air in all directions from their source, and they continue to spread until they encounter a surface. When the sound waves encounter a solid object, such as a wall, cliff, or other large structure, they can be reflected back toward the source. This reflection allows the sound waves to travel back to the observer's ears, creating an audible echo. In the case of the scenic overlook, there must be a surface in the specific direction where the sound waves can reflect off and return to the observer.

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Answer:The first spacecraft which did not merely fly by a jovian (or giant) planet, but actually went into orbit around it for an extended period of time was option a, Galileo. The Galileo spacecraft was launched in 1989 and orbited Jupiter for almost eight years, from 1995 to 2003.

Explanation:

Answer:

The maximum radius the asteroid can have for her to be able to leave it entirely simply by jumping straight up is approximately 1782.45 meters

Explanation:

Whereby the height the astronaut can jump on Earth = 0.500 m, we have the following kinematic equation;

v² = u² - 2·g·h

Where;

v = The final velocity

u = The initial velocity

g = The acceleration due to gravity ≈ 9.8 m/s²

h = The height she jumps

At the maximum height, \(h_{max}\) = 0.500 m, she jumps, v = 0, therefore, we have;

0² = u² - 2·g·\(h_{max}\)

u² = 2 × 9.8 × 0.5 = 9.8

u = √9.8 ≈ 3.13

u = 3.13 m/s

Her initial jumping velocity ≈ 3.13 m/s

Escape velocity, \(v_e = \sqrt{\dfrac{2 \cdot G \cdot M}{r} }\)

Where;

M = The mass of the asteroid

G = The Universal gravitational constant = 6.67408 × 10⁻¹¹ m³/(kg·s²)

r = The radius of the asteroid

The average density of the Earth = 5515 kg/m³

The mass of the asteroid, M = Density × Volume = 5515 kg/m³× 4/3 × π × r³

The escape velocity, she has, \(v_e\) ≈ 3.13 m/s is therefore;

\(3.13 = \sqrt{\dfrac{2 \times 6.67408 \times 10^{-11} \times 5515 \times \frac{4}{3} \times \pi \times r^3}{r} } = r \times \sqrt{3.084 \times 10^{-6}}\)

\(r = \dfrac{3.13}{ \sqrt{3.084 \times 10^{-6}}} \approx 1782.45\)

Therefore, the maximum radius of the asteroid can have for her jumping velocity to be equal to the escape velocity for her to be able to leave it entirely simply by jumping straight up = r ≈ 1782.45 meters.

Explanation:

300 second = 5 minutes

details

500 watts = 500 joules per second

Time = (1.50 x 10^5 joules)/(5 x 10^2 joules per second) = .3 x 10^3 seconds =300 second

Answer:

a) 50 rad/s

b) 39.8 rev

Explanation:

Given:

r = 0.36 m

v₀ = 0 m/s

a = 1.8 m/s

t = 10 s

a) Find: ω

v = at + v₀

v = (1.8 m/s) (10 s) + (0 m/s)

v = 18 m/s

ω = (18 m/s) / (0.36 m)

ω = 50 rad/s

b) Find: Δθ

Δx = v₀ t + ½ at²

Δx = (0 m/s) (10 s) + ½ (1.8 m/s) (10 s)²

Δx = 90 m

Δθ = (90 m) / (2π × 0.36 m)

Δθ = 39.8 rev

If a plot of velocity vs. time has a negative slope, then the acceleration of the system is non-zero and in the opposite direction to the velocity. This negative acceleration can result from forces acting on the system that oppose its motion or from the system losing energy due to friction or other factors.

Velocity is the rate of change of displacement with respect to time. If the velocity vs. time graph has a negative slope, it means that the velocity is decreasing over time. In other words, the object is slowing down. Since acceleration is the rate of change of velocity with respect to time, a negative slope indicates that the acceleration is non-zero and acts in the opposite direction to the velocity.

If the velocity is decreasing, it means that the object is experiencing a deceleration or negative acceleration. This negative acceleration can result from forces acting on the system that oppose its motion or from the system losing energy due to friction or other factors. In either case, the negative slope indicates that the acceleration is in the opposite direction to the velocity, causing the object to slow down.

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The way ice water mix with the salty water is that  when a person adds salty water to ice, the salt will be the first thing to dissolves in the layer of liquid water that is seen on the surface.

By reducing the  freezing point below the ices temperature, when the Ice is said to be in contact with salty water, it tends to melts, forming more liquid water, that will then dissolves more salt, causing a lot of ice to melt, and the process still goes on.

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Answer:

39,000 Joules of Work

Explanation:

Work can be found out through the change in Kinetic Energy.

W = ΔKE

Change in KE is:

\(W = KE_{Final} - KE_{Initial}\)

Expand the equation you get:

\(W=\frac{1}{2} mv^{2}_{f} -\frac{1}{2} mv^{2}_{i}\)

Plugin the known values and solve:

\(W=\frac{1}{2} (500)(16)^{2} -\frac{1}{2} (500)(10)^{2}\)

\(W=(250)(256) -(250)(100)\)

\(W=64000-25000\)

\(W=39000 J\)

We find that the distance from A to C, representing the velocity of the ball relative to the ground, is approximately 17.20 m/s (option C).

The distance from A to C, which represents the velocity of the ball relative to the ground, can be determined using vector addition.

Given that the velocity of the train relative to the ground is represented by the distance from A to B in the diagram, and the velocity of the ball thrown inside the train at an angle of 66° relative to the train is represented by the distance from B to C, we need to find the resultant velocity from A to C.

To find the resultant velocity, we can use the concept of vector addition. We can break down the velocity of the ball into its horizontal and vertical components.

Let's assume the velocity of the train relative to the ground is v_train and the velocity of the ball relative to the train is v_ball. We can use trigonometry to find the horizontal and vertical components of v_ball.

The horizontal component, v_ball_x, can be calculated as v_ball * cos(66°), and the vertical component, v_ball_y, can be calculated as v_ball * sin(66°).

Now, we can add the horizontal components and vertical components separately.

The horizontal component of the resultant velocity, v_resultant_x, is the sum of v_train and v_ball_x. Similarly, the vertical component of the resultant velocity, v_resultant_y, is the sum of v_ball_y.

Finally, we can find the magnitude of the resultant velocity, v_resultant, using the Pythagorean theorem: v_resultant = sqrt(v_resultant_x^2 + v_resultant_y^2).

Calculating the values, we find that the distance from A to C, representing the velocity of the ball relative to the ground, is approximately 17.20 m/s (option C).

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Answer: To determine the speed of an object, you need to know the distance traveled and the Time = 4.0 seconds The speed of the cheetah in miles per hour is 63 mph 5. How far can a person run in 15 minutes if he or she runs at an average .

Explanation: I hope that was helpful !

Answer:

The current would increase.

Explanation:

The current would increase. 10. The relationship between resistance and current in a circuit is that the greater the resistance the less the current and the greater the current the less the resistance is.

if a 1.5-volt battery is removed and placed by a 9-volt battery in a circuit, From Ohm's law we can say that the current flow inside the circuit will increase because the voltage increases (resistance remains constant).

Ohm's Law is a fundamental law of physics that describes the relationship between the three basic electrical quantities: voltage, current, and resistance in a circuit.

It states that the current through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them. Mathematically, Ohm's Law is expressed as:

V = I x R

Where:

V = the voltage or potential difference between two points in the circuit,       measured in volts (V).

I = the current flowing through the circuit, measured in amperes (A).

R = the resistance of the conductor, measured in ohms (Ω).

In other words, the voltage (V) across a circuit component is equal to the product of the current (I) flowing through the component and its resistance (R). This law is applicable to both DC (direct current) and AC (alternating current) circuits, as long as the resistance is constant.

Ohm's Law can be used to calculate any one of the three variables if the other two are known. For example, if the voltage and resistance in a circuit are known, the current flowing through the circuit can be calculated using the formula:

I = V / R

Here in the question,

The current in a circuit is determined by the resistance of the circuit and the voltage applied to it, according to Ohm's Law. If a 9-volt battery replaces a 1.5-volt battery, the voltage applied to the circuit will increase, which may cause an increase in the current flowing through the circuit if the resistance remains the same.

However, the increase in voltage may also cause an increase in the heat generated by the circuit, which could potentially damage the components or cause a safety hazard. Therefore, it is important to ensure that the components in the circuit can handle the higher voltage before replacing the battery.

It's also important to note that the current may also depend on the internal resistance of the batteries. A 9-volt battery typically has a lower internal resistance than a 1.5-volt battery, which means it can supply more current to the circuit. So, even if the resistance of the circuit remains the same, the current may still increase due to the higher voltage and lower internal resistance of the 9-volt battery.

Hence, The current flowing through the circuit increased when we removed a 1.5-volt battery and replaced it with a 9-volt battery.

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Answer:

1.03 * 10^-5

Explanation:

The magnetic flux through the loop is approximately 1.317 × \(10^{(-5)\)T·m².

To calculate the magnetic flux through a loop, we use the formula:

Φ = B × A × cos(θ)

Where:

Φ is the magnetic flux

B is the magnetic field strength

A is the area of the loop

θ is the angle between the magnetic field and the normal to the loop

Given:

Magnetic field strength (B) = 3.09 × \(10^{(-4)\) T (east direction)

Area of the loop (A) = 0.0471 m²

The loop faces directly northeast

To find the angle θ,  determine the angle between the magnetic field direction (east) and the normal to the loop (northeast).

Since the loop faces northeast, the angle between the normal to the loop and the east direction is 45 degrees (90 degrees divided by 2).

Now calculate the magnetic flux:

Φ = B  × A  × cos(θ)

Φ = (3.09 × \(10^{(-4)\) T) × (0.0471 m²) × cos(45°)

Using the value of cos(45°) as 0.7071:

Φ = (3.09 × \(10^{(-4)\) T) × (0.0471 m²) ×0.7071

Φ = 1.317 × \(10^{(-5)\) T·m²

Therefore, the magnetic flux through the loop is approximately 1.317 × \(10^{(-5)\) T·m².

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The electric potential of a point charge is given by:

where q is the charge and r is the distance between the charge and the point of interest. In this case we have two charges, then to calculate the total potential on a point we need to add the individual potential of each charge.

For both charges the point of interest is at 0.1097 m, then we have:

Therefore, the electric potential midway of the charges is:

As fair weather approaches, the air pressure generally increases. Fair weather is associated with high-pressure systems, where air descends and becomes more compressed, resulting in higher atmospheric pressure. This increase in air pressure indicates stable weather conditions with clear skies and relatively calm winds.

There is typically a rise in air pressure. Fair weather is associated with high-pressure systems, where air descends and spreads outwards, leading to compression and an increase in atmospheric pressure. This rise in air pressure indicates stable weather conditions with clear skies, minimal cloud cover, and generally calm winds. The higher air pressure inhibits the formation of clouds and precipitation, creating a favorable environment for pleasant and sunny weather. Meteorologists often monitor changes in air pressure as an indicator of approaching fair weather systems.

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Answer:

acceleration .......

Firstly, we can write the equation for the electric force. It is:

By applying our values we get

Now, if we remind ourselves of Newton's law, we know that

We know the mass, and we know the Force, so we can find out the acceleration, this gives us:

Thus

Our final acceleration is 0.122 m/s^2

The empirical formula of the oxide is FeO. The empirical formula is the simplest ratio of atoms in a compound.

Therefore, the first step in solving for the empirical formula of the oxide is to determine the number of moles of iron and oxygen present in the compound. Here's how to solve the problem.

Step 1: Find the mass of oxygen that combined with iron.

The mass of the iron sample is 4.25 g.

Subtracting this from the mass of the oxide compound gives the mass of oxygen that combined with the iron.

5.47 g – 4.25 g

= 1.22 g

Step 2: Calculate the number of moles of each element.

To calculate the number of moles of each element, we need to divide the mass of each element by its molar mass.

The molar mass of iron is 55.845 g/mol, while the molar mass of oxygen is 15.9994 g/mol.

Moles of iron = 4.25 g ÷ 55.845 g/mol

= 0.076 moles

Moles of oxygen = 1.22 g ÷ 15.9994 g/mol

= 0.076 moles

Step 3: Determine the simplest mole ratio.Dividing each number of moles by the smallest number of moles gives us the simplest mole ratio:

Moles of iron ÷ 0.076 = 1

Moles of oxygen ÷ 0.076 = 1

So, the empirical formula of the oxide is FeO.

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Answer:

Which sentence best states the central idea of paragraphs 21-22 in "Energy Story"?

A. Materials that are insulators and conductors have a high

resistance to electricity.

Part B

Which sentence from "Energy Story" best supports the answer in Part A?

B. "Its resistance measures how well something conducts

electricity."

Explanation:

The total momentum of the two objects after the collision is still 24 kg m/s.

According to the principle of conservation of momentum, the total momentum of a system remains constant before and after a collision in the absence of external forces.

If the two objects have a total momentum of 24 kg m/s before the collision, it means that the sum of their individual momenta is 24 kg m/s.

Let's denote the momentum of the first object as p1 and the momentum of the second object as p2. According to the given information, we have:

p1 + p2 = 24 kg m/s

After the collision, the total momentum of the system is still 24 kg m/s. Therefore, we can conclude that the total momentum of the two objects after the collision is also 24 kg m/s.

The total momentum of the two objects after the collision remains unchanged at 24 kg m/s.

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Answer:

A

Explanation:

I took the test

Answer:

This means the source of sound vibrates 50 times in one second. Therefore, number of vibrations in 1 minute, i.e. in 60 seconds = 50 x 60 = 3000 times.

Explanation:

Answer:

we see to make things visible . if we don't see then we can not give the scene around us. on the way if we close our eyes will we can we home from different types of vehicles .

Explanation:

thank you Mark as a brainlist