A thin uniform disk of mass m and radius r has a string wrapped

Answers

Answer 1

The magnitude of the weight of the disk is greater than the magnitude of the tension force of the string. ((c) [tex]F_{T} < F_{g}[/tex])

How to analysis a rigid body on dynamical condition

A rigid body is a system whose geometry cannot be neglected and in which deformations due to external forces applied on the system are negligible.

In this question we need to establish a free body diagram with all critical forces and motion conditions. There are two external forces: (i) tension ([tex]F_{T}[/tex]), (ii) weight ([tex]F_{g}[/tex]), both in newtons.

The disk falls due to gravity and rotates around the string in a case of rolling, which combines rotation and translation. By Newton's laws of motion we have the following expression:

[tex]\sum F = -F_{g}+F_{T} = -m\cdot R\cdot \alpha[/tex]   (1)

Where:

[tex]m[/tex] - Mass of the disk, in kilograms.[tex]\alpha[/tex] - Angular acceleration, in radians per square second.

By algebra we derive the following relationship between the two forces:

[tex]-F_{g} = -F_{T}-m\cdot R\cdot \alpha[/tex]

[tex]F_{g} > F_{T}[/tex]

Therefore, the magnitude of the weight of the disk is greater than the magnitude of the tension force of the string. ((c) [tex]F_{T} < F_{g}[/tex]) [tex]\blacksquare[/tex]

Remark

The statement is incomplete and poorly formatted. Correct and complete form is shown below:

A thin uniform disk of mass m and radius r has a string wrapped around its edge and attached to the ceiling. The bottom of the disk is at height 3R above the floor, as shown above. The disk is released from rest. The rotational inertia of a disk around its center is [tex]I = \frac{1}{2}\cdot M\cdot R^{2}[/tex].

When released from rest, the disk falls and the string unwinds. The force that the string exerts on the disk is [tex]F_{T}[/tex], and the gravitational force exerted on the disk is [tex]F_{g}[/tex]. Which of the following expression correctly relates [tex]F_{T}[/tex] and [tex]F_{g}[/tex] as the disk falls?

(a) [tex]F_{T} > F_{g}[/tex], (b) [tex]F_{T} = F_{g}[/tex], (c) [tex]F_{T} < F_{g}[/tex]

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A Thin Uniform Disk Of Mass M And Radius R Has A String Wrapped

Related Questions

The driver of a pickup truck accelerated at a rate of -5 m/s2 in 2.0 seconds. What was his net change in velocity?

Answers

Explanation:

a= -5m/s^2 t=2s

a= v-u

-------

t

at=v-u

(-5x2)

= -10m/s

Imagine that you are a circus performer riding a uni-cycle (forwards) across the stage. What is the direction of the angular velocity of the single wheel?

Answers

The direction of the angular velocity of the single wheel is the clockwise direction

Angular velocity

The angular velocity is the number of revolutions per second of the single wheel. It is given by ω = v/r where

v = linear speed of the wheel and r = radius of the wheel.Direction of the angular velocity of the single wheel

Since the wheels moves forward and the velocity of the wheel is always tangential to the wheel causing it to move forward, its angular velocity is in the clockwise direction

So, the direction of the angular velocity of the single wheel is the clockwise direction

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The angular velocity is also known as the rotational velocity. The direction of the angular velocity of the single wheel is clockwise.

What is angular velocity?

The angular velocity or rotational velocity, also known as the angular frequency vector, is a vector measure of rotation rate that relates to how fast an item spins or revolves relative to another point, i.e. how quickly the angular position or orientation of an object changes with time.

[tex]\omega = \dfrac vr[/tex]

where v is the velocity and r is the radius.

The Direction of angular velocity is that the wheel goes forward and the velocity of the wheel is always tangential to the wheel, forcing it to move forward, therefore, the angular velocity is clockwise.

Hence, the direction of the angular velocity of the single wheel is clockwise.

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What is the distance a spring is compressed if the spring constant is 10 m/n, and a force
of 25 n is applied?

Answers

Answer:

40n

Explanation:

10×25 all over 100 ,25 into hundred 4 times 10×4 =40n

name one type of energy the washing machine wastes when spinning the clothes

Answers

Answer:

Electrical Energy

The Electricity Rotates the spinning part of Washing machine and It spinns clothes.

The electrical loads in _____ circuits each have the same voltage drop, with equals the total applied voltage of the circuit.

Answers

Answer:

The electrical loads in parallel circuits each have the same voltage drop, with equals the total applied voltage of the circuit.

Explanation:

I did some research and the voltage drop across any branch of a parallel circuit is the same as the applied voltage.


Phys-1A Horizontal Practice 2
Ground-to-Ground Equations
Horizontal Equations
Vicos
Vertical Equations
sin
ay earth).-9.8 m/s
Horizontal Launch Equations
Horizontal Equations
Vertical Equational
Velocity-as-Hits:
wv * , te
Use. Pythagorean Range
and tan (9)
Show work/use units !!
1. For each problem, solve for "?" and "?", and Velocity-as-it-Mits. Circle your final answers with units.
2.26, 226, 24.3 65.7
Vf, V+ay.t
wh25
V4.0
(Pythag. +
7+17,
tan
Velocity-as-Hits -
2. For each problem, solve for "7" and "?", and Velocity-as-it-Hits Circle your final answers with units.
2.02,742, 21.1 69.5
W.77
VF, VI+ ayt
VF,
Mercede
(Pythag.+ v
tan
Velocity-as-Hits -

Answers

So basically you, then, finally, you

What is current of 12 ohm? help me pleasee
1. 0.25 A
2. 0.5 A
3. 1 A
4. 1.5 A
5. 2 A​
please show solution.

Answers

Answer:

the current is 5.2 Amps

=> The square on top is 6 in parallel with 3. That's 2 ohms.
=> Now across the top we have 2 in series with 1. That's 3 ohms across the top.
=> Now, around the outside, we have the battery and 3 ohms in series with the 12 ohmer. That's 30 volts across 15 ohms. The current all around is (30/15)= 2 Amps. (Choice #5.)

A uniform rod of length l and mass m is pivoted around a line perpindicular to the rod at location l/3

Answers

Answer:

I for a rod about its center is I = M L^2 / 12

A = L (1/2 - 1/3) = L / 6     distance from middle to location L/3

A^2 = L^2 / 36

I = M L^2 (1/12 + 1/36) = M L^2 (4 / 36) = M L^2 / 9

I about given location by parallel axis theorem

Thunder is heard 7.2 seconds after a bolt of lightning is observed. if the speed of sound is 349 m/s, how far away did the lightning strike?

Answers

Answer:

2512.8 meters

Explanation:

s=d/t

by using speed formula

A carrot has a mass of 69 grams and a volume of 150 cubic centimeters. Calculate its
density.

Answers

Answer:

As Per Provided Information

Mass of carrot 69 grams

Volume of carrot 150 cm³

we have been asked to determine the density of carrot .

Using Formulae

[tex] \bf \: Density = \cfrac{Mass \: of \: carrot}{Volume \: of \: carrot}[/tex]

Substituting the given value and let's solve it to determine the density of carrot.

[tex] \longrightarrow\sf \: Density = \cfrac{69}{150} \\ \\ \\ \longrightarrow\sf \: Density = \cancel\cfrac{69}{150} \\ \\ \\ \longrightarrow\sf \: Density =0.46 \: gm \: {cm}^{ - 3} [/tex]

Therefore,

Density of carrot is 0.46 gm/cm³

10. Wet-cell and Dry-cell batteries have _______ current.

A. Direct
B. Alternating
C. Series
D. Parallel

Answers

Answer:

A

Explanation:

Direct because it's still passes electricity through ir

A 5.0-newton force could have perpendicular components of

Answers

Answer:

It can have many set of perpendicular component but the most important one is 3 AND 4

Explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

1. How do you describe the path that the light passes through when it travels?
2. What happens during dispersion of light?
3. What are the different colors of light?
4. Similarly, how are rainbows formed up in the sky?


pls help me if u can

Answers

A:

The white light is divided into its component hues - red, orange, yellow, green, blue, and violet - as it passes through the prism. Dispersion is the splitting of visible light into its many hues.

===========================================================

B:

Dispersion is the splitting of visible light into its many hues. Each hue is associated with a certain wave frequency, as stated in the Light and Color unit, and different frequencies of light waves bend at different rates while passing through a prism.

============================================================

C:

The white light is divided into its component hues - red, orange, yellow, green, blue, and violet - as it passes through the prism. Dispersion is the splitting of visible light into its many hues.

===========================================================

D:

The sun and the weather combine to create a rainbow. As it passes from air to denser water, light enters a water droplet, slowing and bending. The light bounces off the interior of the droplet, separating the wavelengths—or colors—that make up the droplet. A rainbow is created as light escapes the droplet.

3. Three lightbulbs are connected in a series. A switch is placed between the first lightbulb and the second lightbulb. If that
switch is opened, what happens to each of the three lightbulbs?
Please help explanation

Answers

In series connection the current flow remains constant

If switch is placed between first and second lightbulbThen if it's turned on. the three bulbs will be lighted up with same current
the circuit will be open if the switch is opened. therefore no electric current would flow through the series and the lightbulbs wont turn on

WILL GIVE BRAINLEST!!! What is the magnification of a virtual image if the image is 10.0 cm from a mirror and the object is 20.0 cm from the mirror?

a. -2.0
b. 0.50
c. 2.0
d. -0.50

Answers

option D

hope it helps...!!!

Answer:

B.

Explanation:

You have to divide.
10.0/20.0 = 0.50

I apologize if it is incorrect-

I hope it helps! Have a great day!

Anygays-

Which of the following can be used to measure temperature accurately
Celsius
Fahrenheit
Kelvin
All of these are correct

Answers

Answer:

Any of those terms can be converted to either of the other terms, so either term is correct. People are accustomed to everyday temperatures in Fahrenheit. The ideal gas law specifies that

P V = N R T     where T is in Kelvin which is Celsius + 273 deg.

With a class 1 lever, does mechanical advantage increase or decrease as the fulcrum is moved closer to the load? Explain why. ​

Answers

Answer:

L1 F1 = L2 F2   explains balancing torques

F1 = load = counterclockwise torque

F2 = applied force - clockwise torque

L represents distances from fulcrum to the applied forces

F2 = F1 * (L1 / L2)                (I)

MA mechanical advantage = (L2 / L1)     load over applied force

We can rewrite equation (I) as

load force / applied force = applied distance / load distance

As the fulcrum is moved closer to the load L1 decreases and L2 increases which corresponds to an increase in MA

A 1.2-kg hot iron sphere with heat capacity
576 J °C-1 is cooled by immersing it in a tank of
water (Fig g). (See the photo that I uploaded)The mass of the water is 3 kg and
its initial temperature is 12 °C. After 5 minutes,
both the iron sphere and the water reach a final
temperature of 15 °C.

(a) Find the energy gained by the water.
(b) Find the average rate of energy transfer from
the iron sphere to the water.
(c) What is the initial temperature of the iron
sphere?

Answers

Given the data from the question, the heat gained by the water, the rate of energy transfer and the initial temperature of the iron are:

A. The energy gained by the water is 37656 J

B. The average rate of energy transfer from

the iron sphere to the water is 125.52 J/s (Watts)

C. The initial temperature of the iron

sphere is 65.4° C

A. How to determine the heat gained Mass of water (M) = 3 Kg = 3 × 1000 = 3000 gInitial temperature (T₁) = 12 °C Final temperature (T₂) = 15 °Change in temperature (ΔT) = 15 – 12 = 3 °C Specific heat capacity (C) = 4.184 J/gºC Heat (Q) =?

Q = MCΔT

Q = 3000 × 4.184 × 3

Q = 37656 J

B. How to determine the rate of energy transfer Heat (Q) = 37656 JTime (t) = 5 min = 5 × 60 = 300 sPower (P) =?

Power = energy / time

Power = 37656 / 300

Power = 125.52 J/s (Watts)

C. How to determine the initial temperature of the iron Mass of iron (M) = 1.2 Kg = 1.2 × 1000 = 1200 gHeat capacity (C) = 576 J/ºC Heat (Q) = 37656 JTemperature (T) =?

Q = CT

37656 = 576 × T

Divide both side by 576

T = 37656 / 576

T = 65.4° C

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Before beginning an experiment, mrs. wilson warns her science class not to drop the bar magnets on the floor. what is the most likely reason for mrs. wilson’s warning? the magnet might lose its magnetism. the magnet might make a startling noise. the magnet might become stuck to the floor. the magnet might cause the floor to become magnetic.

Answers

The most likely reason for Mrs. Wilson's warning will be the magnet might lose its magnetism.

What is magnetism?

Magnetism is a component of the larger phenomena of electromagnetic. The most well-known effects occur in ferromagnetic materials,

Which are highly attracted by magnetic fields and maybe magnetized to become permanent magnets, hence creating magnetic fields. It is also feasible to demagnetize a magnet.

We should not drop a magnet on the floor since magnets progressively lose magnetism and grow weak over time if they are not properly preserved.

Hence this is most likely the reason for Mrs. Wilson's warning will be the magnet might lose its magnetism.

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Answer:

The correct answer is A!

Explanation:

~Hope this helps! :)

Please Help Me!

A boy holds a toy soldier in from of a concave mirror. The focal length of the mirror is 0.45 m and the boy holds the toy soldier at a distance of 0.25m from the mirror. Find the image distance.

Answers

The image distance when a boy holds a toy soldier in front of a concave mirror, with a focal length of 0.45 m. is -0.56 m.

What is image distance?

This is the distance between the image formed and the focus when an object is placed in front of a plane mirror.

To calculate the image distance, we use the formula below.

Formula:

1/f = 1/u+1/v........... Equation 1

Where:

f = Focal length of the mirrorv = Image distanceu = object distance

From the question,

Given:

f = 0.45 mu = 0.25 m

Substitute these values into equation 1 and solve for the image distance

1/0.45 = 1/0.25 + 1/v2.22 = 4+1/v1/v = 2.22-41/v = -1.78v = 1/(-1.78)v = -0.56 m

Hence, The image distance is -0.56 m.

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Enter an expression, in terms of defined quantities and g, for the force that the scale under left pillar shows

Answers

The expression, in terms of defined quantities and g is therefore Fu =((mg/2) +2 mp) g

What is a Scale?

This can be defined as a balance or any of various other instruments or devices for weighing.

The expression in terms of defined quantities and g, for the force that the scale under left pillar shows that Fu =((mg/2) +2 mp) g .

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The expression, in terms of defined quantities and g, for the force that the scale under left pillar is (m(b)/2+2m(d))g.

What is the equilibrium state of a system?

Equilibrium is the location of the system, in which the system be static does not change its position with respect to time.

The image of the uniform beam which has two pillar is attached below. In this pillar,

The length of the pillar is L and the mass is m(b)Pillars located at L/3 from either end.The system is in equilibrium.A duck is shown has the mass m(d).

The expression, in terms of defined quantities and g, for the force that the scale under left pillar has to be find out.

In the equilibrium position torque in left pillar is zero,

[tex]\tau_{right} =0[/tex]

It can be written as,

[tex]F_L\dfrac{L}{3}=m_bg\dfrac{L}{6}+m_dg\dfrac{2L}{3}[/tex]

[tex]F_L=\left(\dfrac{m_b}{2}+2m_d\right)g[/tex]

Thus, the expression, in terms of defined quantities and g, for the force that the scale under left pillar is (m(b)/2+2m(d))g.

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(What
pressure does water
exert at the bottom of
the container in the
Water
(1000 kg/m)
5m
adjoining figure?) (g
=9.8 m/s2)

Answers

Answer:

49,000 Pa

Explanation:

Pressure in liquid=depth x density x g

                            = 5 x 1000 x 9.8

                            = 49,000Pa

A weight of 200 n is hung from a spring with a spring constant of 2500 n/m and lowered slowly. How much will the spring stretch?

Answers

8n/m this is because 200×2500 all over 100 . 0's will cancile 0's living 200×2500×1 ,25 will go into 200 8 times ×1 =8n/m

The length by which the spring got stretched will be 0.08 m. The force is directly propotional to the distance by which the spring stretched.

What is spring force?

The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is

F = kx

The given data in the problem is;

F is the spring force =200

K is the spring constant= 2500 N/m

x is the length by which spring got stretched =?

The stretch of the spring is found as;

[tex]\rm F=kx \\\\ x = \frac{F}{k} \\\\\ x= \frac{200}{2500} \\\\ x=0.08 \ m[/tex]

Hence the length by which the spring got stretched will be 0.08 m.

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After hearing about an accident on his normal route, mr. gujral checks for alternate routes to get to work. what type of circuit does this traffic situation model? a series circuit because there is more than one path a series circuit because there is only one path a parallel circuit because there is more than one path a parallel circuit because there is only one path

Answers

The type of circuit does this traffic situation model will be a parallel circuit because there is more than one path.

What is a parallel circuit?

A parallel circuit has branches that split the current such that just a portion of it passes through each branch.

The voltage or potential difference between each branch of a parallel circuit is the same, but the currents might differ.

A parallel circuit is having more than one path in order to reach it on time he has to take a different path.

Hence the type of circuit does this traffic situation model will be a parallel circuit because there is more than one path.

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Answer:

C) a parallel circuit because there is more than one path

Explanation:

C) a parallel circuit because there is more than one path

The interior of a refrigerator has a surface area of 2. 6 m2. It is insulated by a 4. 5 cm thick material that has a thermal conductivity of 0. 0098 J/m · s · ◦ C. The ratio of the heat extracted from the interior to the work done by the motor is 4. 4% of the theoretical maximum. The temperature of the room is 37. 7 ◦C, and the temperature inside the refrigerator is 3. 7 ◦C

Answers

For an interior of a refrigerator has a surface area of 2. 6 m2, The power is  is mathematically given as

P= 71.56W

What is the power?

Generally, the equation for the  Fourier's law  is mathematically given as

H = ∆Q/∆t = k∙A∙∆T/∆x

Therefore

H= 0.0112* 4.2 *(33.3 - 6.8) / 0.022m

H= 58.18J/s

For The coefficient of performance(COP)

COP = Q/W = H/P

Therefore

COP = 279.95K/(306.45K - 279.95K)

COP = 10.564

In conclusion

P = H/COP

P= 58.18W / 0.813

P= 71.56W

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Conduction is greater in solids .explain in your own words Why?

Answers

Explanation:

because conduction takes place in objects whose particles are close/touching each other therefore conduction happens in solid as liquid and gas paricles are not close to each other

a car of mass 850kg hits a crash barrier at a speed of 30m/s . the car stops in 0.4s.calculate the force of the car.​

Answers

Given :- Mass of Car = 850 kginitial speed,u = 30 m/sTime span in which car stop = 0.4 s

To Find :-force on car

Solution:-

During the collision an impulse is created which due to which is equal to change in momentum.

Mathematically,

[tex]\green{ \underline { \boxed{ \sf{Impulse, F\times t = m (v-u) }}}}[/tex]

where

F = forcet = time span m = massv= final speedu = initial speed

Now,

[tex]\begin{gathered}\\\implies\quad \sf F \times 0.4 = 850 \times (0-30) \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf F \times 0.4 = 850 \times -30 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf F = -\frac{25500}{0.4} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf F = -63750 N \\\end{gathered} [/tex]

[tex]\quad\quad\quad\quad\quad\quad[/tex](-ve sign denotes opposite direction)

Therefore, a force of 63750 Newton will act on the car in opposite direction.

Which materials are good insulators? Select three options. Glass paper gold plastic silver.

Answers

Answer:

Plastic Glass and Paper

Explanation:

i just took the assignment

Glass, paper, and plastic are good insulators. The material that does not allow the flow of current through them is known as the insulators.

What are insulators?

An electrical insulator is a substance that prevents electric current from flowing freely. The electrons in the insulator's atoms are closely bonded and cannot travel easily.

Other materials, such as semiconductors and conductors, carry electricity more easily. The characteristic that characterizes an insulator.

Gold and silver are good conductors of electricity. While glass, paper, and plastic are good insulators.

Hence glass, paper, and plastic are good insulators.

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7. Why are cooking pans made of aluminum? {Explain using the specific heat value of
aluminum} it conducts heat well high thermal energy

Answers

Cooking utensils, such as pots, pans and menu trays, are often made from aluminium because it is lightweight and conducts heat well, making it energy-efficient for heating and cooling. These properties also make it a preferred material for packaging.

A car of 15 kg is traveling on a circular track. If the radius of the track is

7. 8 m and the period is 8. 5 seconds, what's the centripetal force on

the car? (Round to the nearest hundredth)

Answers

The magnitude of the centripetal force on the car is 69.6 N.

What is centripetal force?

This is a force acting on a body in circular path and it is directed to the center around which the body is moving.

To calculate the centripetal force on the car, we use the formula below.

Formula:

F = m(4π²/t²)........ equation 1

Where:

F = Magnitude of the centripetal force on the car, m = mass of the cart = time

From the question,

Given:

m = 15 kgt = 8.5π = 3.14

Substitute these values into equation 1

F = 15(4×3.14²/8.5²)F = 69.6 N

Hence, the magnitude of the centripetal force on the car is 69.6 N.

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TESTI: Directions: Read the statements carefully. Wnte Agree or Disagree on the following situations White your answers on the line provided before each number 1 in creating an interesting design harmony and contrast are necessary 2. Color is one of the most dominant element 3 Contrast refers to the arrangement of elements. 4. A design without harmony is an appealing art 5. A repetitive pattem is an art 6. Sculpture is a 3D visual art created by simply shaping materials into objects without applying the elements and principles of arts 7. Concepts of lines and shapes are applied in sculpting 8 The elements and principles of art are shown on the objects around us 9. Bronze soap and sand are some of the matenals used in sculpting 10 With the advancement of technology sculpting can only be done manually can somone help? ill give brainlist Please help ASAP 5min Complete the sentence with the correct form of verb in parentheses What does foreign policy effect internationally? Every real zero of a polynomial function appears as a/an Keisha cuts a 2/3 foot rope into 1/12 foot piecesz how many pieces of rope was she able to cut?Do I divide 2/3 by 1/12? i need help please its due today Which animals are cold-blooded, breathe with lungs, most lay eggs, although in some the eggs hatch inside the female, and have scales or plates? question 17 options: fish reptiles mammals amphibians Chapter 1 TestWhat is the simplified form of the expression 3 + 8x - 2y - x + 1 + 4y? Enter your answers in the boxes.X +ly+ How can you get type 2 Diabetes from smoking Please try your best and show your work and I will give brainliest!The table below shows the number of pencils of each color for all 25 pencils in a box.Pencils in the boxColor NumberRed 11Blue 11Green 3The likelihood of an event occurring may be described as certain, more likely, equally likely, less likely, or impossible.Part A:A single pencil is drawn from the box. Describe the likelihood that the pencil is black. Explain your reasoning.Part B:The pencils have all been placed in the box. Compare the likelihood of drawing a red pencil to the likelihood of drawing a blue pencil from the box. Show your work and/or your reasoning.* The original 25 colored pencils have all been placed back in the box and another 11 colored pencils have been added to the box. The new pencils are either red, blue or green. The likelihood of drawing a green pencil is now greater than the likelihood of drawing a red pencil, but less than the likelihood of drawing a blue pencil.Part C:How many colors of each pencil were added to the box. Explain how you know that your answer is the only possible outcome that meets all the conditions. Help please this is complicated which details in "Casey at the Bat" show Casey has the following traits: strength, confidence, and showmanship? cite at least two details for each trait and explain each choice.b) Interpret: Which details suggest that both Casey and the crowd believe in his inability to fail? Find the perimeter.Write your answer as a fraction or as a whole or mixed number.3mm4M3mm|*mm3mmLast one for today thank youu Which of these sources would be most appropriate to use for a research project investigating the effects of antibiotics on the disease-causing organism, E. coli?The Evening Report - a national television news programThe Daily News - a local newspaperThe World Today - a weekly magazine of important eventsThe Journal of Bacteriology - a national professional journal Which of the following is the best example of peer pressure using a reasoning tactic?Answer: B, "C'mon and take a sip. Don't be a bore." What is the main factor that affects local winds? i dont understand??????????? PLEASE I NEED HELP!!! BRAINLIEST FOR THE FASTEST ANSWER The map below shows the temperatures in parts of North America on an average spring day.Which statement best summarizes the temperature pattern shown in the weather map? A. temperatures increase from the southeast to the northwest.B. Temperatures decrease from the northeast to the northwest.C. Temperatures increase from the southwest to the northeast D. Temperatures decrease the from the southwest to the northeast.