the curved section of a horizontal highway is a circular unbanked arc of radius 600 m. if the coefficient of static friction between this roadway and typical tires is 0.40, what would be the maximum safe driving speed for this horizontal curved section of highway?

Answers

Answer 1

This horizontally curved portion of the highway has a maximum safe driving speed of about 34.16 m/s.

To find the maximum safe driving speed for the curved section of the highway, we need to consider the centripetal force and the frictional force.

The centripetal force required to keep a vehicle moving in a circular path is given by:

\(F_c = m * \left(\frac{v^2}{r}\right)\)

where m is the mass of the vehicle, v is the velocity, and r is the radius of the curved section.

The frictional force between the tires and the roadway provides the necessary centripetal force:

\(F_friction\) = μ * m * g

where μ is the coefficient of static friction, m is the mass of the vehicle, and g is the acceleration due to gravity.

Setting \(F_c\) equal to \(F_friction\), we have:

\(m * (v^2 / r) = μ * m * g\)

Simplifying, we can solve for v:

v² = μ * r * g

v = sqrt(μ * r * g)

Plugging in the values, with μ = 0.40, r = 600 m, and g = 9.8 m/s^2, we can calculate the maximum safe driving speed:

v = sqrt(0.40 * 600 * 9.8) ≈ 34.16 m/s

Therefore, the maximum safe driving speed for this horizontal curved section of the highway would be approximately 34.16 m/s.

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Related Questions

HELP PLZZZ

Which optical devices can form images that are larger than the original
object?

HELP PLZZZ Which optical devices can form images that are larger than the originalobject?

Answers

Answer: B- A and C

Explanation:

A P E X

The optical devices uses light. The correct option for the optical devices can form images that are larger than the original object is B i.e A and C.

What is optical device?

The device which uses light for the meaningful purpose is called optical devices.

The device which form the images larger than the object are the converging type of lens or mirror.

The lens which is converging is the convex lens denoted by C in diagram and the converging mirror is the concave mirror denoted by A.
Therefore, the correct option for the optical devices can form images that are larger than the original object is B i.e A and C.

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A car speeds up from rest to some final velocity in some amount of time. If the time is doubled to reach the same final velocity, what
happens to the acceleration? Is this a proportional or inversely proportional relationship?

Answers

If the time is doubled to reach the same final velocity, then the acceleration will be half the acceleration before.

What is the rate of change?

The rate of change of an object's velocity with respect to time is defined as acceleration. Vector quantities are accelerations.

Let's assume the final and the initial velocity of the object is v and u, respectively. Also, the time it takes is represented by t. Therefore, the acceleration can be written as,

a₁ = (v-u)/t

Now, if the time is doubled then the acceleration can be written as,

a₂ = (v-u)/2t

    = (1/2) × [(v-u)/t]

    = 0.5 × a₁

a₂ = 0.5a₁

Hence, If the time is doubled to reach the same final velocity, then the acceleration will be half the acceleration before.

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A 0.50 kg ball is attached to a 1.0 m long string and is hanging vertically down on a string. We are holding the other end of the string. Suppose we now pull the ball out (with the string taut) and release it. At the bottom of the swing, the ball has a speed of 2.0 m/s. (a) What is the change in the ball's kinetic energy, from where we released it to the bottom of the swing? (b) How much total work was done on the ball (over the same interval)? (c) How much work does the string do on the ball? Hint-consider: what is the angle between the tension and the path being traveled by the ball at any instant? (d) Use the work kinetic energy theorem and your answers above to calculate how much work gravity does on the ball. (e ) The work done by gravity only depends on the change in the height and weight of the ball. Why is that true? (f) Use your answers to the questions above to answer the following question: how high did we raise the ball above its lowest position?

Answers

Answer:

JAJAJA

Explanation:

you need to learn but the answer is your sus jajaja

consider an isolated system of three stationary nonzero charges. no other forces are present. (a) is it possiblethat any of the charges is experiencing zero net force?

Answers

In an isolated system of three stationary nonzero charges, it is possible for one or more of the charges to experience zero net force.

This is because the net force on a charge is determined by the vector sum of the forces exerted on it by the other charges in the system. If the charges are arranged in such a way that the forces on a particular charge cancel out, then that charge will experience zero net force.
For example, if we have two charges of equal magnitude and opposite sign placed at a fixed distance from a third charge of the same magnitude, the forces on the third charge due to the first two charges will cancel out and it will experience zero net force. Similarly, if all three charges are arranged in a symmetric configuration such that the forces on each charge due to the other two charges cancel out, then all three charges will experience zero net force.
However, it is important to note that the arrangement of the charges must be very specific in order for any of them to experience zero net force. In most cases, at least one of the charges will experience a nonzero net force due to the forces exerted by the other charges.

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water of mass 94 g is heated from 0 ◦c to 100◦c at a constant pressure of 1 atm. find the approximate change in internal energy of the water. the specific heat of water is 1 cal/g · ◦ c.

Answers

The approximate change in internal energy of the water, when heated from 0°C to 100°C at a constant pressure of 1 atm, is 9400 cal. This value is obtained using the formula ΔU = m * c * ΔT, where ΔU represents the change in internal energy, m is the mass of the water (94 g), c is the specific heat of water (1 cal/g·°C), and ΔT is the change in temperature (100°C - 0°C = 100°C). By substituting the given values into the formula, we find that the change in internal energy of the water is 9400 cal.

To calculate the change in internal energy of the water, we can use the formula:

ΔU = m * c * ΔT

where:

ΔU is the change in internal energy,

m is the mass of the water (94 g),

c is the specific heat of water (1 cal/g·°C), and

ΔT is the change in temperature (100°C - 0°C = 100°C).

Substituting the values into the formula, we get:

ΔU = 94 g * 1 cal/g·°C * 100°C

   = 9400 cal

Therefore, the approximate change in internal energy of the water is 9400 cal.

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An object is dropped from the top of a cliff 625 meters high. Its height above the ground t seconds after it is dropped is 625−4.9t². Determine its speed 7 seconds after it is dropped.
The speed of the object 7 seconds after it is dropped is ___m/sec.
(Simplify your answer.)

Answers

The speed of the object 7 seconds after it is dropped is -68.6 m/s (negative sign indicates downward direction).

The height of the object above the ground at time t is given by the equation h(t) = 625 - 4.9t².

To find the speed of the object at 7 seconds, we need to calculate the derivative of the height function with respect to time. The derivative gives us the rate of change of the height, which corresponds to the velocity or speed.

Taking the derivative of h(t) with respect to t:

h'(t) = d(h(t))/dt = d(625 - 4.9t²)/dt = -9.8t.

Now we can substitute t = 7 seconds into the derivative to find the speed at that time:

h'(7) = -9.8 * 7 = -68.6 m/s.

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What is the symbol for a change in position?
Ad
p
d
Ap

Answers

change in position of an object we use the

symbol ∆×\ delta×∆×for displacement, where ∆. means

"change" ∆ vector quantity with units of distances start

text ,d,I,s,t,a,n,c,e , end text.

Sound waves are produced when something is caused to
*reflect.
*vibrate.
*slow down.
*get warmer.

Answers

Answer: B: vibrate.

Explanation: took the test

Sound waves are produced when something is caused to vibrate.

What is Sound wave?

This can be defined as the pattern of disturbance caused by the movement of energy traveling through a medium.

Sound is produced when a substance vibrates leading to movement in surrounding air molecules.

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Which planet has a tilted axis of rotation similar to that of earth, which means it has seasons?.

Answers

Answer:

Uranus

Explanation:

it's uranus....

Physicist ____ was found to have completely made up some of the data on which his astounding discoveries were made.

Answers

Answer:

Jan Hendrik Schön I believe

A wire carrying a current of 0.25 A is 0.5 m long. If the wire is perpendicular to a magnetic field of 0.6 T, how much is the magnetic force on the wire

Answers

The magnetic force on a current-carrying wire in a magnetic field can be calculated using the formula F = BIL, where F is the magnetic force, B is the magnetic field, I am the current, and L is the length of the wire. In this case, the wire is perpendicular to the magnetic field, so we can simplify the equation to F = BIL. F = 0.075 N


The magnetic force on the wire carrying a current of 0.25 A and perpendicular to a magnetic field of 0.6 T is 0.075 N. It is important to note that the direction of the magnetic force is perpendicular to both the direction of the current and the direction of the magnetic field. To find the magnetic force on a wire carrying a current in a perpendicular magnetic field, we can use the following formula Magnetic Force (F) = Current (I) × Length of wire (L) × Magnetic Field (B) × sin(θ)
Here, θ is the angle between the current direction and the magnetic field. Since the wire is perpendicular to the magnetic field, the angle θ is 90 degrees. The sine of a 90-degree angle is 1, so sin(θ) = 1. Current (I) = 0.25 A Length of wire (L) = 0.5 m Magnetic Field (B) = 0.6 T Magnetic Force (F) = (0.25 A) × (0.5 m) × (0.6 T) × sin (90°) F = (0.25 A) × (0.5 m) × (0.6 T) × 1 F = 0.075 N The magnetic force on the wire is 0.075 N.

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A fuel injection system that does not use a sensor to measure the amount (or mass) of air entering the engine is usually called a(n) ________ type of system

Answers

A fuel injection system that does not use a sensor to measure the amount (or mass) of air entering the engine is usually called speed density type of system.

What is speed density fuel injection system?

Speed density fuel injection system is a fuel delivery method.

This system relies on a combination of sensor and an intake air temperature sensor to measure the amount (or mass) of air entering the engine.

Thus, a fuel injection system that does not use a sensor to measure the amount (or mass) of air entering the engine is usually called speed density type of system.

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Consider a Carnot heat engine that operates between 500

C and 30

C. If the engine does 2.2 J of work per cycle, how much heat per cycle does it absorb from the high temperature reservoir? Express your answer with one decimal place.

Answers

The Carnot heat engine absorbs 8.3 J of heat per cycle from the high-temperature reservoir.

The efficiency of a Carnot heat engine is given by the equation:

Efficiency = 1 - (Tc/Th)

where Tc is the temperature of the cold reservoir and Th is the temperature of the hot reservoir.

In this case, the temperatures are given as 500°C and 30°C, respectively. We can calculate the efficiency of the engine using these values:

Efficiency = 1 - (30 + 273.15)/(500 + 273.15) ≈ 0.8208

The efficiency of a Carnot heat engine is also defined as the ratio of the work done by the engine to the heat absorbed from the high-temperature reservoir:

Efficiency = Work/Heat absorbed from high-temperature reservoir

We know that the engine does 2.2 J of work per cycle, so we can rearrange the equation to solve for the heat absorbed from the high-temperature reservoir:

Heat absorbed from high-temperature reservoir = Work/Efficiency

Heat absorbed from high-temperature reservoir = 2.2 J / 0.8208 ≈ 2.68 J

Therefore, the Carnot heat engine absorbs approximately 2.68 J of heat per cycle from the high-temperature reservoir.

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In a hydraulic device, the surface area of the small piston is 1 cm2 and the surface area of the large piston is 8 cm2. If 10 N of force is put on the small piston, how much force will be exerted on the large piston.

Answers

Hence the force is 80 N
In a hydraulic device, the surface area of the small piston is 1 cm2 and the surface area of the large

A box slides across a horizontal floor in a straight line. It starts with a speed of 5 m/s and slows down to 2 m/s after 3 seconds. What is the average acceleration over this interval?

Answers

The average acceleration over this interval is  -1 \(m/s^2\)

The average acceleration of the box during this interval can be calculated by using the formula for average acceleration, which is:

Average acceleration = (final velocity - initial velocity) / time

In this case, the initial velocity is 5 m/s, the final velocity is 2 m/s, and the time interval is 3 seconds. Substituting these values into the formula gives:

Average acceleration = (2 m/s - 5 m/s) / 3 s
= -1 \(m/s^2\)

The negative sign in the answer indicates that the acceleration is in the opposite direction to the initial motion of the box. This means that the box is slowing down during this interval. The average acceleration represents the rate at which the velocity of the box is changing over the given time interval. In this case, the box is slowing down at an average rate of 1 \(m/s^2\) over the three-second interval. This information can be useful in understanding the motion of the box and predicting its future motion.

Overall, the average acceleration of the box over this interval is -1 \(m/s^2\), indicating that the box is slowing down at a constant rate during this time.

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Why is aluminum used on spacecraft for radiation shielding instead of lead? Name another material that would be a good choice for spacecraft shielding and explain why you chose it.

Answers

Aluminum is used on spacecraft for radiation shielding instead of lead due to its lighter weight and better mechanical properties.

When it comes to radiation shielding in spacecraft, weight is a crucial factor as it affects the overall mass of the vehicle. Aluminum offers a significant advantage over lead in terms of weight. Aluminum has a lower density compared to lead, which means that it can provide effective shielding while adding less weight to the spacecraft. This is especially important for space missions where every kilogram of weight saved can have a significant impact on the mission's cost and performance.

Additionally, aluminum possesses favorable mechanical properties that make it suitable for spacecraft applications. It is strong, durable, and exhibits good resistance to corrosion. These properties are essential for withstanding the harsh conditions of space and ensuring the structural integrity of the spacecraft.

Another material that could be a good choice for spacecraft shielding is polyethylene. Polyethylene is a lightweight plastic material that has excellent radiation shielding properties. It is commonly used in nuclear power plants and medical facilities for radiation protection. Polyethylene has high hydrogen content, which makes it effective at absorbing and attenuating ionizing radiation. Its lightweight nature and ease of fabrication make it an attractive option for spacecraft shielding, providing a good balance between radiation protection and weight efficiency.

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In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of the part left? ​

Answers

Answer: 98cm

Explanation:

Dimension of rectangle = 30cm by 25cm

Length(l) = 30cm

Width(w) = 25cm

Perimeter of a rectangle = 2(l + w)

Quadrant of circle cut away of each side of the rectangle :

Radius = 7 cm =

That is, the dimension of the triangle reduces by 2 * 7 = 14cm

New length = 30 - 14 = 16cm

New width = 25 - 14 = 11cm

The four corners =( 4 × 2πr ) / 4

2πr = 2 × 22/7 × 7 = 44cm

Perimeter = 2(16cm + 11cm)

= 2(27cm)

Perimeter = 54cm + 44 = 98cm

In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner.

Melissa tells her little brother that she has rice that can dance to music. melissa takes an aluminum pie pan and places a shallow layer of rice in the pan. she holds the pan of rice over a speaker on the radio and turns the radio volume up. the rice begins to dance and her little brother is amazed! she shares this during science class the next day. her teacher asks: "melissa, can you explain using the concept of sound waves what really happened to make the rice dance?

Answers

Melissa observed with the rice dancing is an interesting phenomenon called the Chladni effect.

When she placed the aluminum pie pan with a shallow layer of rice over the speaker on the radio and turned up the volume, the sound waves produced by the speaker caused the pan and the rice to vibrate.Sound waves are actually vibrations that travel through a medium, in this case, the air. When the speaker emits sound waves, they hit the pan, causing it to vibrate. These vibrations are then transferred to the rice, making it move and dance on the pan's surface.

The reason the rice gathers into patterns is due to the specific frequencies of the sound waves. Each frequency creates a unique standing wave pattern on the pan's surface. These patterns form areas of high and low vibrations, causing the rice to gather in the areas of least vibration, resulting in visible patterns.So, in simple terms, the rice dances due to the vibrations caused by the sound waves produced by the speaker. The Chladni effect helps us visualize and understand how sound waves interact with different objects and create patterns. I hope this explanation helps! Let me know if you have any further questions.

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While _[blank]_ science deals with knowledge discovery, _[blank]_ science deals with knowledge use.

Answers

Answer:

Explanation:

While pure science deals with knowledge discovery Applied science deals with knowledge use

Which optical device can focus light to a point through reflection?

Which optical device can focus light to a point through reflection?

Answers

An optical device is an instrument that uses light for a purpose. The device that can focus light to a point through reflection is mirror.

What is reflection?

The reflection is the phenomenon of a light ray going back to the same medium after striking a surface.

The mirror is a one sided polished surface which reflects all the light falling on it. The reflected light after striking the mirror meets at a point forming the image of an object place in front of mirror. A mirror is an optical device that uses reflection phenomenon to focus light.

Thus, the device that can focus light to a point through reflection is mirror.

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pls include a explanation!!!:)<3

pls include a explanation!!!:)&lt;3

Answers

Answer:

Option C. 4.5×10¯² N

Explanation:

From the question given above, the following data were obtained:

Charge 1 (q₁) = +5×10¯⁶ C

Charge 2 (q₂) = –4×10¯⁶ C

Distance apart (r) = 2 m

Electrical constant (K) = 9×10⁹ Nm²/C²

Force (F) =?

The magnitude of the force can be obtained as follow:

F = Kq₁q₂ / r²

F = 9×10⁹ × 5×10¯⁶ × 4×10¯⁶ / 2²

F = 0.18 / 4

F = 0.045

F = 4.5×10¯² N

Thus, magnitude of the force is 4.5×10¯² N

What is the relationship between increase speed of a car and energy in a
collision?

Answers

The relationship between a car and energy is that the car uses gas to produce speed within energy needs to be powered
Answer:

Hello,

QUESTION)✔We have : Ek = 1/2m x v²

In other words, when the speed doubles the collision energy of the car, or simply the kinetic energy, is multiplied by two.

What is the relationship between increase speed of a car and energy in acollision?

DNA replication is semiconservative, meaning that:

a. each daughter duplex may differ in sequence from the parental duplex.

b. each daughter duplex has sections of original parental duplex and sections of newly synthesized daughter duplex.

c. for each daughter duplex, only one of the parental strands is used as a template for both daughter strands.

d. each daughter duplex consists of one parental strand and one newly synthesized daughter strand.

e. one of the two daughter duplexes consists of both original parental strands.

Answers

The correct option is d. each daughter duplex consists of one parental strand and one newly synthesized daughter strand. DNA replication is semiconservative, meaning that each daughter duplex consists of one parental strand and one newly synthesized daughter strand.

The given statement is true. According to the Watson-Crick model, DNA is composed of two strands, each of which is a chain of nucleotides. The two strands are antiparallel and complementary in their base pairing. DNA replication is semiconservative, meaning that each daughter duplex consists of one parental strand and one newly synthesized daughter strand, and it was first discovered by Meselson and Stahl in the late 1950s.During replication, the double helix is separated into two strands by an enzyme called DNA helicase.

DNA polymerase then binds to each strand of the parental duplex and begins to build a new daughter strand, complementary to the original. The new strand is created by adding nucleotides one at a time, with each nucleotide forming a hydrogen bond with its complementary base on the parental strand. The result is two new daughter duplexes, each consisting of one parental strand and one newly synthesized daughter strand.

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Give reason: 1. Copper wires are used in domestic circuits. 2. Tungsten is used as filament in bulb. 3. Filament bulbs are replaced by CFL and LEDs

Answers

Answer:

your mom

Explanation:

Answer:

1.Copper electrical wires are safer to use than wires made of most other conductive metals because they are resistant to heat. As you can see, copper is the preferred metal for electrical wires for several reasons. It has high electrical conductive; it's inexpensive; it's ductile; and it's thermal resistant.

2.Tungsten is used for making filament of an electric bulb due to the following reasons: Being an alloy it has a very high melting point. It has very high resistivity so it does not burn easily at room temperature. The lamp glows at high temperatures.

3.Confused about choosing between CFL bulbs vs. LED bulbs? Since 2014, government regulations have been pushing consumers to replace familiar incandescent light bulbs with more energy-efficient compact fluorescent lamp (CFL) and light-emitting diode (LED) bulbs.Advances in both CFL and LED technologies have expanded consumer choice — yet make evaluating your options a little more complex. Knowing how different kinds of light bulbs stack up against each other will help you not only get the right lighting for any given space but also save energy in the process.

Prepare a table like Table 22.1 by using the same procedure (a) for the case in which you draw three marbles from your bag rather than four

Answers

The probability for each outcome based on the total number of marbles in the bag and then, arrange the outcomes and their respective probabilities in a table format.

To prepare a table similar to Table 22.1 but for the case where you draw three marbles instead of four, follow the same procedure.

Step 1: List all the possible outcomes when drawing three marbles from the bag.

Step 2: Calculate the probability for each outcome.

Step 3: Organize the outcomes and their corresponding probabilities in a table format.

For example, let's say your bag contains red, blue, and green marbles. To create the table, consider the following outcomes:

1. Drawing three red marbles.
2. Drawing two red marbles and one blue marble.
3. Drawing one red marble and two blue marbles.
4. Drawing three blue marbles.
5. Drawing two blue marbles and one green marble.
6. Drawing one blue marble and two green marbles.
7. Drawing three green marbles.

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Prepare a table like Table 22.1 by using the same procedure (a) for the case in which you draw three

A car enters a freeway with a speed of 6.5 m/s and accelerates to a speed of 24 m/s in 3.5 min. How far does the car travel while it is accelerating? (Hint: find the acceleration first)

a 3205.5 m
b 1548.75 m
c 76.13 m
d 761.3 m

Answers

Explanation:

Using Equations of Motion :

(1) v = u + at

24 = 6.5 + a * 210

a (Acceleration) = 0.083 m/s^2

(2) v^2 = u^2 + 2aS

S = 576 - 42.25 / 0.166

S (Distance travelled) = 3215.3 m

(Option A seems a typo since the answer is 3215.3 m)

Some chemical reactions release energy. Others store energy. What important chemical reaction stores energy?

Answers

Chemical energy energy stored in the bonds of chemical compounds. Chemical energy maybe realized during a chemical reaction of in the form of heat

For a Pulsar (with uniform density): - Prove the Moment of Inertia: I=(2/5)MR^2 - Another mass, initially orbiting the pulsar at 10km, collides with 1 spin period per second. Find the angular momentum

Answers

Moment of Inertia:

I=(2/5)MR^2

A pulsar is a celestial object,

typically a highly-magnetized rotating neutron star that emits beams of electromagnetic radiation from the poles.

The formula for the moment of inertia of a uniform-density sphere is:

I = (2/5)MR²

The mass of the pulsar (M) is not provided in this question.

We can only proceed if we are given the mass of the pulsar. Additionally, Another mass, initially orbiting the pulsar at 10km, collides with 1 spin period per second.

Find the angular momentum

Angular momentum (L) = moment of inertia (I) × angular velocity (ω)L

                                      = I × ωL = (2/5)MR² × ω

For this problem, we also need the angular velocity of the pulsar, which is not given.

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For a Pulsar (with uniform density): - Prove the Moment of Inertia: I=(2/5)MR^2 - Another mass, initially orbiting the pulsar at 10km, collides with 1 spin period per second. Find the angular momentum For a Pulsar ?

a block of mass 3kg slides along a horizontal surface that has neglitjble friction except dor one section what is the magntiude of acerage frictional force exerted on the block by rough section of surface

Answers

A block of mass 3 kg slides along a horizontal surface that has negligible friction except for one section, as shown above

light of wavelength 633 nm from a distant source is incident on a slit 0.750 mm wide, and the resulting diffraction pattern is observed on a screen 3.50 m away.

Answers

Answer:

because of the gravity of the earth

Other Questions
which of the sequences below best describes the sequential steps (numbered 1-5) in a signal transduction pathway that utilizes a g protein-coupled receptor? Albert O'Malley signs a promissory note for $3,500 for 150 days at 9% exact interest. Find the interest he must pay _____ and the total amount due on the due date _____. hydrogen gas can react with some halogen to produce hydrogen chloride. write a correct balanced reaction and identify the oxidizing agent. A 5.0-cm-wide diffraction grating has 2100 slits. it is illuminated by light of wavelength 510 nm .Part A What is the angle (in degrees) of the first diffraction order? Express your answer to three significant figures and include the appropriate units. ANSWER: 1 = Part B What is the angle (in degrees) of the second diffraction order? Equivalence classes are necessarily probabilistic stimulus classes but natural concepts are not. True or false? Find the distance between each pair of points. juliana loves stylish clothes and also appreciates vintage clothing. she frequents a consignment shop in her town to sell her last-season items while she browses the store for clothing she feels has timeless appeal. what disposal decision is juliana making? What happens after Jason and zane after the duel What was the first scientific step used by Zadock Thompson to research the mysterious skeleton? Under slavery, the african american family lacked ________ and ________ which helped give free african americans and whites stability. please help my parents always think I'm lying to them for "lying" like a year ago which they had no proof that I was lying they just thought I was and its always been that they think I'm lying because before that they think I'm lying :( and I get my phone and stuff like that taken away so I cant talk to my one friend during quarantine that I already get to talk to about 20 min every 3 daysn:( Alex bought four 15-pound bags of dog food, three 4 1/2 pound bags of cat food, and two 1/2-pound bags of fish food. How many pounds of pet food did Alex buy? Mai skated miles, and Clare skated 3/5 farther than that. Select 1 expression that show how far Clare skated. **HINT: Clare skated MORE than Mai.A. 8/5B. 1 3/5C. 13/5 During a conversation about a promotion, Mary's supervisor,Tom, tells her that because she refused to meet him at amotel nearby for a sexual liaison, she will not get the bonusshe has been waiting for. Which of the following bestdescribes this situation?-Sexual harassment and retaliation-Employee favoritism-A harmless joke since Mary is married-Quid pro quo harassment Which of the following has the highest concentration of nitrate? O 1.000 M NaNO3. O 1.000 M KNO3. O 1.000 M Ca(NO3)2 O All solutions have the same concentration of nitrate 4 In a test of an energy-absorbing bumper, a 2800-lb car is driven into a barrier at 5 mi/h. The duration of the impact is 0.4 seconds. When the car rebounds from the barrier [in the opposite direction], the magnitude of its velocity is 1.5 mi/h. Use the principle of impulse and momentum to determine the magnitude of the average horizontal force (lb) exerted on the car during the impact. Expand & simplify: (3x+5)(2x-4)-(3x+3)(x+6) Find the slope and Y intercepts then write the equation of the line in slope-intercept form No. 1Assuming that:Total cost TC = 500 4Q + 1.5Q2Demand P = 96 0.5QWhat is the optimum output to maximize profit? What is the profit level?Hint: TR = P*Q!No. 2Assuming that:Total cost TC = 500 4Q + 1.5Q2Demand P = 96 0.5QWhat is the optimum output to maximize profit? What is the profit level?Hint: TR = P*Q!For a monopoly market, compute P if ED = -1.2; -2.0; -3,0, -5 and -10!What is your conclusion!No. 3Give a real example of a company or companies having a market power and briefly explain the firms elasticity of demand(hint: based on (i) market demand; (ii) the number of firms; and (iii) the interaction among firms)No. 4Using a diagram, briefly explain how a monopsonist determines the price and quantity to maximize its benefit/satisfaction!Expert Answer how can you determine the proper disposal protocols for remaining chemicals in your kit?