the threads of a screw used to fasten two pieces of wood are pitched at an angle. how does this increase the static friction force?

Answers

Answer 1

In a case whereby the threads of a screw used to fasten two pieces of wood are pitched at an angle this will increase the static friction forceD By decreasing the coefficient of static friction between the screw and the wood.

How can this be explained?

It should be noted that the greater the thread angle, the greater the angle between the load vector  as well as the surface normal,  hence the  the normal force between the threads required to support a given load will be larger.

It should be nopted that the  here will be increase in  the thread angle  as well as the friction and wear of a screw.

Therefore, option D is correct.

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misssing options:

A By decreasing the surface area between the screw surface and the wood

B By increasing the ease of inserting the screw into the wood

C By increasing the normal force exerted by the wood on the screw thread

D By decreasing the coefficient of static friction between the screw and the wood


Related Questions

The temperature at which air becomes saturated with water vapor is called the

percent saturation

water content

dew point

relative humidity


thanks in advance

Answers

Answer:

C) Dew Point

Explanation:

The dew point is the temperature at which air is saturated with water vapor, which is the gaseous state of water. When air has reached the dew-point temperature at a particular pressure, the water vapor in the air is in equilibrium with liquid water.

dew point

Explanation: mark me as brainlest

what is the speed of a transverse wave on the rope if the mass were increased to 3.00 kg ?

Answers

The speed of a transverse wave on the rope is 8.16 m/s if the mass were increased to 3.00 kg.

The speed of a transverse wave on the rope if the mass is increased to 3.00 kg can be found by the formula: v = √(T/μ) where, T is the tension in the rope and μ is the linear mass density of the rope. Since the mass of the rope has increased to 3.00 kg, it means that its linear mass density has also increased.

To calculate the linear mass density of the rope, we can use the formula:μ = m/L where, m is the mass of the rope and L is the length of the rope. Let's assume that the length of the rope is 5.00 m. Then,μ = 3.00 kg / 5.00 m = 0.600 kg/m Now, let's assume that the tension in the rope is still 20.0 N. Then, v = √(T/μ) = √(20.0 N / 0.600 kg/m) = 8.16 m/s.

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An issue the students encountered is that the marble doesn't land on the launch pad all of the time. To remedy this, they consider constructing a funnel to help direct the marble. How do you suggest the students move forward with their design process in order to find a solution?
A Test funnels of the same size and material with varying sized openings.
B Test funnels of the same shape and size with varying materials.
C Test funnels with identical openings and material with varying size.
D Test all of the above funnels and then construct a funnel with the best design elements from each.​

Answers

I suggest that the students move forward with option A.

Test funnels of the same size and material with varying sized openings. This will allow them to determine the optimal size for the opening that will help direct the marble to the launch pad. Once they have determined the optimal size, they can move forward with constructing the funnel with that size opening.

To find a solution to the issue of the marble not landing on the launch pad consistently, I suggest the students follow a systematic approach in their design process. Option D, testing all of the above funnels and then constructing a funnel with the best design elements from each, would be the most comprehensive and effective approach.

By testing funnels of different sizes, materials, and openings, the students can gather valuable data and insights about how each factor affects the marble's trajectory. This will help them identify the key design elements that contribute to successful landing on the launch pad.

Once the students have tested the various funnels, they can analyze the results and determine which design elements worked best in terms of directing the marble accurately. By combining these successful elements, they can then construct a new funnel that incorporates the best features from each tested funnel. This iterative approach allows them to refine their design and increase the chances of achieving consistent and reliable results.

Therefore, option D provides a comprehensive method for the students to explore different design possibilities, gather data, and ultimately create an improved funnel design.

A )Calculate the gravitational potential energy of a 8.5-kg mass on the surface of the earth.
U=
b) calculate the gravitational potential energy of a 9.5- kgkg mass at an altitude of 330 km U=
Take the difference for parts B and A.
Change in U=

Answers

a) To calculate the gravitational potential energy (U) of a mass on the surface of the Earth, we can use the formula:

U = mgh

Where:

m = mass of the object

g = acceleration due to gravity

h = height or distance above a reference point

Given:

Mass (m) = 8.5 kg

Acceleration due to gravity (g) on the surface of the Earth is approximately 9.8 m/s^2. Height (h) above the reference point (surface of the Earth) is 0 meters (since it's on the surface)

Substituting the values into the formula:

U = 8.5 kg * 9.8 m/s^2 * 0 m

U = 0 Joules

Therefore, the gravitational potential energy of the 8.5-kg mass on the surface of the Earth is 0 Joules.

b) To calculate the gravitational potential energy of a mass at an altitude of 330 km, we need to consider the change in height (Δh) from the surface of the Earth.

Given:

Mass (m) = 9.5 kg

Acceleration due to gravity (g) remains approximately 9.8 m/s^2

Change in height (Δh) = 330,000 meters (330 km)

Using the formula:

U = mgh

U = 9.5 kg * 9.8 m/s^2 * 330,000 m

U = 3,088,200 Joules

Therefore, the gravitational potential energy of the 9.5-kg mass at an altitude of 330 km is approximately 3,088,200 Joules.

c) To find the change in gravitational potential energy (ΔU), we subtract the initial potential energy (Ua) from the final potential energy (Ub):

Change in U = Ub - Ua

Change in U = 3,088,200 J - 0 J

Change in U = 3,088,200 J

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The Magnetic Field in a Charging Capacitor

Answers

As a capacitor is charging, the electric field between the plates is increasing. This changing electric field creates a magnetic field around the capacitor. The direction of the magnetic field is determined by the right-hand rule.

To use the right-hand rule, point your thumb in the direction of the electric field. Your fingers will then curl in the direction of the magnetic field. The magnitude of the magnetic field is proportional to the rate of change of the electric field. The faster the electric field is changing, the stronger the magnetic field will be. The magnetic field from a charging capacitor is strongest near the edges of the plates. This is because the electric field is strongest near the edges of the plates. The magnetic field from a charging capacitor can be used to create a current in a nearby wire. This is how radios and televisions work. The changing magnetic field from a capacitor in a radio antenna creates a current in the antenna, which is then amplified and used to create sound waves. The magnetic field from a charging capacitor can also be used to create a spark. This is how spark plugs in cars work. The changing magnetic field from a capacitor in a spark plug creates a spark, which ignites the fuel in the engine.

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These two skaters original at rest have just pushed off against one another. one skater has twice the mass as the other. which one will experience the greater momentum?

Answers

Answer:

These two skaters have just pushed off against one another .One skater has twice the mass as the other. Which one willexperience the greater momentum?

Explanation:

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As you drive, a passenger in your car records your speed at 10-second intervals. The passenger records the following data: {(0 s, 18 m/s), (10.0 s, 18 m/s), (20.0 s, 18 m/s),
(30.0 s, 18 m/s), (40.0 s, 18 m/s)}. Using a graph of the velocity as a function of time, determine your displacement between t = 10.0 s and t = 35.0 s.

Answers

The velocity as a function of time is 0, and displacement between t = 10.0 s and t = 35.0 s is 0.

How to find velocity and displacement?

The vector quantity velocity (v), denoted by the equation v = s/t, quantifies displacement (or change in position, s), over change in time (t).

as S= 0, then

\(V_{total}\) = \(\frac{ Final Speed - initial speed}{total_time }\)

V=0.

Displacement is defined as the final position minus the starting position.

Displacement = Final distance- initial distance

S= 0

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which is an example of species diversity?
A. Variation in a flock of pigeons
B. Fire ant colony
C. Giraffes,earth worms,algae
D. A savanna and a tropical rain forest

Answers

Answer:

So, some examples may include the presence of four or five different species of tree in a woodland forest, or perhaps 100 different species of fish, crustaceans and coral in a certain reef.

l will post the option later

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option d


A car has moved 6.8 m from when the driver saw the red light to come to a full stop. If the driver was moving with 31.7 m/s when they saw the traffic light, how long did it take for
them to come to stop?

Answers

Answer:

i believe that the answer is 4.661764706 seconds

2. Which of the following will have no effect on the reaction time of a person driving an
automobile?
age
of the driver
b) Distractions in the environment
c) The speed of the automobile
d) Talking on a cell phone while driving
a) The

Answers

The speed of the automobile will not affect the reaction time of the person.

A car travels 50 km in 25 km /h and then travels 60km with a velocity 20 km/h and then travels 60km with a velocity 20 km/h in the same direction. Find the velocity

Answers

Answer:

v = 21.25 km/h

The average velocity is 21.25km/h

Explanation:

Average velocity = total displacement/time taken

v = d/t

Given;

A car travels 50 km in 25 km /h

d1 = 50km

v1 = 25km/h

time taken = distance/velocity

t1 = d1/v1

t1 = 50/25 = 2 hours

and then travels 60km with a velocity 20 km/h

d2 = 60km

v2 = 20km/h

t2 = d2/v2 = 60/20

t2 = 3 hours

and then travels 60km with a velocity 20 km/h in the same direction

d3 = 60km

v3 = 20km/h

t3 = d3/v3 = 60/20

t3 = 3 hours

Average velocity = total displacement/total time taken

v = (d1+d2+d3)/(t1+t2+t3)

v = (50+60+60)/(2+3+3)

v = 170/8

v = 21.25 km/h

The average velocity is 21.25km/h

Define displacement in your own word

Answers

Answer:

Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.

Explanation:

A cat chases a mouse across a 0.94 m high table. The mouse steps out of the way, and the cat slides off the table and strikes the floor 1.0 m from the edge of the table. The acceleration of gravity is 9.81 m/s 2 . What was the cat’s speed when it slid off the table? Answer in units of m/s

Answers

The speed of the cat when it slide off the table is 2.27 m/s

To obtain the answer to the given question, we'll begin by obtainig the time taken for the cat to strike the floor. This can be obtained as follow:

Height (h) = 0.94 mAcceleration due to gravity (g) = 9.81 m/s²Time (t) = ?

h = ½gt²

0.94 = ½ × 9.81 × t²

0.94 = 4.905 × t²

Divide both side by 4.905

t² = 0.94 / 4.905

Take the square root of both side

t = √(0.94 / 4.905)

t = 0.44 s

How to determine the speed

The speed of the cat can be obatined as illustrated below:

Horizontal distance (s) = 1 mTime (t) = 0.44 sspeed (u) = ?

s = ut

1 = u × 0.44

Divide both sides by 0.44

u = 1 / 0.44

u = 2.27 m/s

Thus, we can conclude that the speed of the cat is 2.27 m/s

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A force of 10 N is applied to an object for 5 seconds. How long would a force of 15 N need to be
applied to the object to experience the same impulse?
A
B.
C.
D.
3.33 seconds
5 seconds
8.33 seconds
10 seconds

Answers

Answer:

3.33 seconds

Explanation:

formula of impulse J=Ft

so 10(5) = 15x

x = 50/15 = 3.33

The atomic number of a nucleus decreases during which nuclear reactions?

Answers

A related type of beta decay actually decreases the atomic number of the nucleus when a proton becomes a neutron. Due to charge conservation, this type of beta decay involves the release of a charged particle called a “positron” that looks and acts like an electron but has a positive charge.

a car accelerates from rest to 30m/s while traveling a distance of 20m what was its acceleration

Answers

Answer:

22.5 m/s²

Explanation:

The final velocity, initial velocity, distance traveled and acceleration are related by the equation

v² = u² - 2ad  [1]

where

v = final velocity

u = initial velocity

a = acceleration

d = displacement

We can manipulate the above equation [1] to solve for a in terms of the other parameters

a = (v² - u²)/2d

Given v = 30 m/s, u = 0 m/s, d = 20 m.

a = (30² - 0²)/(2 x 20)

a = 900/40

a = 22.5 m/s²

3
1 point
find the number of unique re-arrangements of the letters in the word:
design
2,880
570
240
720
previous

Answers

To find the number of unique re-arrangements of the letters in the word "design", we can use the formula for permutations with repetition allowed. The formula is n^r, where n is the number of distinct objects and r is the number of places to fill.

In this case, we have 6 letters in the word "design". So, n = 6. We want to arrange all the letters, so r = 6. Therefore, the number of unique re-arrangements is 6^6 = 46,656.

Another way to approach this is to think about the number of ways to arrange the letters if they were all distinct. In that case, we would have 6! = 720 possible arrangements. However, in the word "design", the letters "i" and "n" are repeated. So, we need to divide by the number of arrangements of the repeated letters. There are 2! ways to arrange the "i"s and 2! ways to arrange the "n"s. Therefore, the number of unique re-arrangements is 6!/2!2! = 720/4 = 180.

So, the answer is 180.

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How many 38 degrees c to f?

Answers

38 degrees Celsius is equal to 100.4 degrees Fahrenheit.

To convert Celsius to Fahrenheit, you can use the following formula:

F = (9/5)C + 32

where F is the temperature in Fahrenheit and C is the temperature in Celsius.

So if we plug in 38 for C, we get:

F = (9/5) * 38 + 32 = 100.4

Therefore, 38 degrees Celsius is equal to 100.4 degrees Fahrenheit.

Temperature is a measure of the thermal energy of a substance or system. The most commonly used units of temperature are Celsius (°C), Fahrenheit (°F) and Kelvin (K).

To convert a temperature from Celsius to Fahrenheit, you can use the following formula:

°F = (9/5) x °C + 32

To convert a temperature from Fahrenheit to Celsius, you can use the following formula:

°C = (5/9) x (°F - 32)

To convert from Celsius to Kelvin you can use the following formula:

K = °C + 273.15

To convert from Fahrenheit to Kelvin you can use the following formula:

K = (5/9) x (°F - 32) + 273.15

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Q.7. For a system with a transfer function of G(s)=- co² s² +2a+w² if the natural frequency is 0.5 and the damping ratio is 1.3, which of the following statements is correct regarding the unit step response of the system?
O A) Damped
O B) Undamped
O C) Underdamped
O D) Crittically Damped
O E) Overdamped

Answers

The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)

The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.

To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).

The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).

In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).

Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.

If co > co_critical, the system is considered overdamped (Option E).

If co = co_critical, the system is considered critically damped (Option D).

If co < co_critical, the system is considered underdamped (Option C).

Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.

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How many meters are there in 1865 cm

Answers

1865/100=18.65 hope this helps

There are 18.65 meters in 1865 centimeters.

There are several types of measurement conversions, including:

Length/Distance: Converting meters to kilometers, centimeters, inches, or feet. Converting kilometers to miles, meters, or yards. Converting inches to centimeters or feet.

Weight/Mass: Converting kilograms to grams, pounds, or ounces. Converting pounds to kilograms or ounces. Converting grams to kilograms or ounces.

Volume: Converting liters to milliliters or fluid ounces. Converting milliliters to liters or fluid ounces. Converting cubic meters to liters or gallons.

To convert centimeters to meters, you need to divide the number of centimeters by 100 since there are 100 centimeters in one meter.

In this case, we have 1865 centimeters. So, to convert it to meters, we divide 1865 by 100:

1865 cm ÷ 100 = 18.65 m

Therefore, there are 18.65 meters in 1865 centimeters.

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17. Mars has two moons. If Earth had a second moon that was three times the mass of our

Moon and the same distance away, how would the second moon's gravitational force

compare with that of our Moon?

Answers

The gravitational pull of the second moon would be stronger than that of our moon, but it wouldn't be three times stronger because the gravitational pull is also influenced by the separation between the two bodies.

It would pull in more gravitationally than our moon if Earth had a second moon that was three times as large as our own and positioned similarly to the earth. An object's mass and distance from another object both affect gravity.

The gravitational attraction of the second moon would be stronger since it would be heavier than the first. The second moon would have a larger gravitational pull since it would be heavier than the first. The strength of the gravitational force is also affected by distance.

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Select the correct answer.
Which phase in the cell cycle consists of the cell readying itself for its division?
A.
Prophase
B.
Interphase
C.
Anaphase
D.
Metaphase

Answers

Answer:

A

Explanation:

The phase of cell cycle consists of the cell readying itself for its division is called prophase of the cycle. It is the first phase in mitosis at which a cell duplicate into two daughter cells.

What is cell cycle?

Cell cycle is a biological process by which a cell divide into two genetically identical daughters cells.  Prophase is the initial stage of cell division in both mitosis and meiosis. When the cell reaches prophase, DNA replication has already started after interphase.

The chromatin reticulum condenses and the nucleolus vanishes during prophase, which are the key events.  Other phases are interphase, anaphase etc. and the last stage is called the telophase.

Cell cycle is a very important biological process by which organisms are producing their offspring. This process differ in each level of organism where for all the starting phase is called prophase.

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Which BEST explains why rainbows only appear when there is rain and sun? a)The rain needs to dim the light for them to appear. b)The combination of light and water creates a prismatic effect. c)The sun restricts the light rays that impact with the water. d) Heavy rain and little sun produce the strongest rainbows.

Answers

Answer:

C

Explanation:

Answer:

You're answer would be B.

Explanation:

Fact: A water droplet refracts and disperses the incident sunlight, then reflect it internally and finally refract it again, when it emerges out of water droplet thus acting like a prism.

In Option B, It states: The combination of light and water creates a prismatic

Therefore, This option is true! However, I would say the combination of light and water make more of a chroma effect to water (my opinion)!

-♥ Have a nice day ♥-

Which BEST explains why rainbows only appear when there is rain and sun? a)The rain needs to dim the

Why is that when a small marble hits another small marble, it moves, but when a small marble hits a bigger marble, it does not?​

Answers

Answer:

It depends on the masses of the marbles that collide. The figure shows a marble with a smaller mass hitting a marble with a larger mass. The larger marble is at rest. After the collision, the marble with a smaller mass bounces off in the opposite directions

hope this helps :)

what are the bonds between carbon atoms in diamond?

Answers

They are bonded by iconic bond, Coordinate bond, hydrogen bonds, and Convalent bonds,

The speed an
object travels in a
specific
DIRECTION
Is this speed velocity or acceleration

Answers

When you know both the speed and direction of an object’s motion, you know the velocity of an object. speed in a given direction is called velocity
hope this helps :)

when peak flow is required for a fraction of the hydraulic cycle, a can be used if an accumulator is used to provide auxiliary power.

Answers

When peak flow is required for a fraction of the hydraulic cycle, a hydraulic pump can be used if an accumulator is used to provide auxiliary power. An accumulator is a device that stores energy in the form of pressurized fluid, which can be used to supplement the power output of the pump during peak demand periods.

This allows the pump to operate at a lower flow rate during the majority of the cycle, which reduces energy consumption and improves overall system efficiency. Additionally, the use of an accumulator can help to reduce pressure fluctuations and increase system stability, which can lead to improved performance and reliability. When peak flow is required for a fraction of the hydraulic cycle, an accumulator can be used if it is designed to provide auxiliary power.


Identify the peak flow requirement within the hydraulic cycle. Choose an appropriate accumulator to handle the required peak flow. Install the accumulator in the hydraulic system, ensuring it is properly connected to provide auxiliary power during peak flow demands. Monitor the system to ensure the accumulator effectively supplies the necessary peak flow when required, maintaining system efficiency and performance.

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According to the law of conservation of energy, how are potential energy and kinetic energy related?
A. In a closed system, the potential energy at the bottom is equal to the kinetic energy at the top.
B. The potential energy of a closed system will always be more than the kinetic energy.
C. In a closed system, the kinetic energy is twice the amount of the potential energy.
D. There is no relationship between kinetic energy and potential energy.

Answers

Answer:

A. In a closed system, the potential energy at the bottom is equal to the kinetic energy at the top.

Explanation:

According to the law of conservation of energy, energy is neither created nor destroyed but transformed from one form to another.

Potential energy is the energy due to the position of a bodyKinetic energy is the energy due to the motion of a body.

Based on the premise of the law of conservation of energy, both kinetic energy and potential energy are equal at the top and bottom in the system.

This way energy is conserved.

Since the investigative question has two variables, you need to focus on each one separately. Thinking only about the first part of the question, mass, what might be a hypothesis that would illustrate the relationship between mass and kinetic energy? Use the format of "if…then…because…” when writing your hypothesis.

Answers

In order to form a hypothesis that would illustrate the relationship between mass and kinetic energy, we first need to understand what kinetic energy and mass are and how they are related. Kinetic energy is the energy that an object possesses due to its motion, and is given by the formula KE = 0.5mv², where m is the mass of the object and v is its velocity. Mass, on the other hand, is a measure of the amount of matter in an object.

The relationship between mass and kinetic energy is direct, meaning that as mass increases, so does kinetic energy, provided that velocity remains constant. Similarly, if velocity increases, then kinetic energy will increase as well, provided that mass remains constant.

The hypothesis that illustrates this relationship can be stated as follows:If the mass of an object is increased, then the kinetic energy of the object will also increase, because kinetic energy is directly proportional to mass, assuming velocity remains constant.In other words, if the mass of an object is doubled, then its kinetic energy will also double, assuming that its velocity remains constant. This hypothesis can be tested through experiments that involve measuring the kinetic energy of objects with different masses, but with the same velocity.

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Sample Response:

If the mass of an object increases, then its kinetic energy will increase proportionally because mass and kinetic energy have a linear relationship when graphed.

Answer the following questions: (1) What four principles did FASB conclude were necessary to implement the comprehensive assets and liability approach? (2) What are the three characteristics of a liab

Answers

That a company must be able to measure the value of the obligation, which may involve estimating the amount that will be required to settle the obligation.

(1) FASB concluded the following four principles to implement the comprehensive assets and liability approach:Relevance - The information presented in the financial statement should be relevant and useful for its intended audience.Reliability - The information presented in the financial statement should be free from material errors and should reflect the economic reality of the business.Completeness - The information presented in the financial statement should be complete, which means it should include all relevant information that may influence the decision-making process.Comparability - The information presented in the financial statement should be comparable over time, which means that a company's financial statements can be compared with the same company's financial statements from previous years or with other companies' financial statements from the same industry.

(2) The three characteristics of a liability are:Obligation - A liability is a present obligation to transfer an economic resource as a result of past events. This means that a company must owe money or a service to another party, and this obligation should be a result of some past event that has occurred.Probability of an Outflow - It should be probable that the company will need to transfer an economic resource as a result of its obligation. If the probability of an outflow is low, the obligation cannot be considered a liability.Measurability - A liability should be measurable reliably. This means that a company must be able to measure the value of the obligation, which may involve estimating the amount that will be required to settle the obligation.

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Natural Resources a die is loaded so that the number 6 comes up three times as often as any other number. what, then, is the probability of rolling a 6? a block of mass m is sliding with an initial speed vi along a horizontal surface with negligible friction. a constant force of magnitude fa is exerted on the object at an upward angle of 60 from the horizontal, causing the object to speed up. if the block remains in contact with the floor, what is the change in the blocks kinetic energy as it moves a horizontal distance x ? Donau Inc. performs services with a normal contract price of $265,000 for a new customer. The customer signs a non-interest bearing note of $300,000. The differences between the normal contract price and the face amount of the note is consideredMultiple Choicea. a sales discount.b. a credit allowance.c. imputed interest.d. additional service revenue. who called upon his fellow texans and americans to join the fight at the alamo in 1836? DNA polymerase ensures that the correct nucleotide is incorporated into the growing strand of DNA by:-monitoring the ability of the incoming nucleotide to form the appropriate base pair-specifically allowing only the correct nucleotide to enter the active site-selecting the correct nucleotide in a exonuclease active site in the DNA polymerase-incormorating random nucleotides and then subsequently removing wrong onesmonitoring the ability of the incoming nucleotide to form the appropriate base pair Which reservoirs hold the hiv virus, keeping the immune systems from completely killing off the virus and starting the latency phase? who creates the options disclosure document? qid: 3569567 mark for review a the sec b the occ c each broker-dealer d finra which acronym may appear on a dietary supplement indicating that it has been certified by an independent laboratory to be pure and produced using good manufacturing processes? can you please help me 3. To find the perimeter of a rectangle, use the equation , where P is the perimeter, l is the length and w is the width of the rectangle. (a) A rectangular garden has a perimeter of 40 yd and a width of 5 yd. Use the equation and the replacement set to find the length of the garden. Show your work.(b) A rectangular table top has a perimeter of 18.4 ft and a length of 6.75 ft. Use the equation and the replacement set to find the width of the table top. Show your work. Consider what you know about the sampling distribution of the sample proportion. This sampling distribution has a shape that is skewed to the right, regardless of sample size. is a collection of the parameters of all possible samples of a particular size taken from a particular population. Will become more variable as the sample size increases. will have a center equal to the population proportion, orp. Will be Normal in shape only if the sample size is at least 100 . at the end of 2022, adam co. had a fair value of $2,700,000. on that date, assets had a book value of $3,000,000 (including $200,000 goodwill) and a fair value of $2,900,000 (excluding goodwill). liabilities had a book and a fair value of $1,100,000. how much goodwill impairment loss should the company recognize at the end of 2022 (if any)? (enter a positive number for the impairment loss, or enter 0 for none). Compared to a human, what is different about how this organism gets molecules from food and air? David recently received an inheritance, and he is planning to invest the inheritance in one of four stock portfolios. Which of these portfolios would you expect to have the highest risk?a.A portfolio with an average annual rate of return of 10%.b.A portfolio with an average annual rate of return of 8%.c.A portfolio with an average annual rate of return of 5%.d.A portfolio with an average annual rate of return of 14%. The "imperial" gaze of Alexander is distinctly different from the gaze of Napoleon becauseAnswers:a. Alexander's expression is compassionate and fatherly, unlike the stern, controlling gaze of Napoleon.b. Alexander looks past the viewer into the future while Napoleon engages the viewer in the present.c. the "imperial" gaze follows conventions of sculpture, while Napoleon is portrayed in paint, allowing the artist to use more creativity of expression.d. Alexander makes no eye contact with the viewer to emphasize his position as ruler over conquered subjects, but Napoleon's direct gaze links his identity and condition to that of the common man. following 9/11, some outraged people lashed out at innocent arab-americans. this venting of hostility can best be explained in terms of in the 1964 movie rudolph the red-nosed reindeer, what was the name of rudolphs elf friend? The floor of Demetri houe i rectangular in hape and i 20 feet longer than it i wide. A cale model of the floor ha a length of 15 inche and a width of 10 inche. What i the width, in feet, of the floor of Demetri houe?