A 3.7-mm-diameter wire carries a 20 A current when the electric field is 8.2×10−2 V/m .
What is the wire's resistivity? (in Ωm)

Answers

Answer 1

Answer:

   ρ = 4.4 10⁻⁸ Ω m

Explanation:

For this exercise let's start by finding the value of the resistance using Ohm's law

          V = I R

           R = V / I

   

The voltage is related to the electric field

          V = E L

           

let's substitute

          R = E L / I

          R = 8.2 10⁻² / 20  

          R = 4.1 10⁻³ L

now we can use the resistance relation

          R = ρ L / A

the area of ​​a circular wire is

          A = π r² = π d² / 4

         ρ = R π d² / (4 L)

let's calculate

        ρ = (4.1 10⁻³ L) π 0.0037² / (4 L) = (4.1 10⁻³) π 0.0037² / (4)

        ρ = 4.4 10⁻⁸ Ω m

Answer 2

The resistivity of the wire is 4.4 10⁻⁸ Ω m.

We know that;

V = I R

R = V / I

The voltage  the electric field can be connected using the formula;

V = E L

Hence;

R = E L /I

R = 8.2 10⁻² / 20  

R = 4.1 10⁻³ L

For resistivity;

R = ρ L / A

the area can be obtained from;

A = π r² = π d² / 4

ρ = R π d² / (4 L)

ρ = (4.1 10⁻³ L) π 0.0037² / (4 L) = (4.1 10⁻³) π 0.0037² / (4)

ρ = 4.4 10⁻⁸ Ω m

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Related Questions

A fisherman’s boat moves up and down periodically due to water waves. The boat travels from its highest to its lowest point, a vertical distance of 0.60 m, in 2.0 s. The horizontal distance between wave crests is 7.0 m. (a) What is the period of the wave motion? (b) What is the frequency of the wave motion? (c) W

Answers

Complete question is;

A fisherman’s boat moves up and down periodically due to water waves. The boat travels from its highest to its lowest point, a vertical distance of 0.60 m, in 2.0 s. The horizontal distance between wave crests is 7.0 m. (a) What is the period of the wave motion? (b) What is the frequency of the wave motion? (c) What is the amplitude of each wave

Answer:

A) Period = 4 s

B) Frequency = 0.25 Hz

C) Amplitude = 0.3 m

Explanation:

A) We are told that the distance it takes for the boat to travel from its highest to its lowest point is 2 s.

Thus, t = 2 s

Now, in waves, period (T) it the time between two successive waves.

This means that;

T = 2t

T = 2 × 2

T = 4 s

B) Also, the frequency(f) is given by the formula;

f = 1/T

f = 1/4

f = 0.25 Hz

C) We are given a vertical distance of 0.60 m from highest to lowest point of waves.

Now, amplitude is half of this distance.

Thus;

Amplitude(A) = 0.6/2

A = 0.3 m

Which of these is caused by the interaction between the atmosphere and the hydrosphere?

Answers

Answer:

Explanation: All the spheres interact with other spheres. For example, rain (hydrosphere) falls from clouds in the atmosphere to the lithosphere and forms streams and rivers that provide drinking water for wildlife and humans as well as water for plant growth (biosphere).


Consider the displacement vectors Ā=(i +6j)m, B = (3i– 7j)m,
If A-B-4D=0, what are the components of D? (Dx = ?, and Dy = ?)


Answers

Answer:

Dx = -0.5

Dy = -0.25

Explanation:

Two vectors are given in rectangular components form as follows:

A = i + 6j

B = 3i - 7j

It is also given that:

A - B - 4D = 0

so, we solve this to find D vector:

(i + 6j) - (3i - 7j) - 4D = 0

- 2i - j = 4D

D = - (2/4)i - (1/4)j

D = - (1/2)i - (1/4)j

D = - 0.5i - 0.25j

Therefore,

Dx = -0.5

Dy = -0.25

A magnetic field is created by ____.
A moving electric charges
b elctromagnetic pulses
c a strong current
d a change in the current of a wire​

Answers

Answer: a magnetic field is created by moving electric charges

Question: A) A car is driving too fast on a flat non-banked curve. The car cannot stay on the road. What path will the car take as it leaves the road? See Image. (a) (b) B) The driver wants to go faster around the same curve mentioned above and not run off the road. He adds sandbags to his car to make it weigh more so that the friction force between the tires and the road will be increased. Will this work? Explain your answer.​

Answers

Explanation:

(a) The car will leave tangentially to the road, so it will take path d.

(b) Sum of forces on the car in the vertical direction:

∑F = ma

N − mg = 0

N = mg

Sum of forces on the car in the centripetal direction:

∑F = ma

Nμ = m v²/r

mgμ = m v²/r

gμ = v²/r

v = √(grμ)

The maximum velocity is independent of mass, so adding sandbags will not work.

A column of soldiers, marching at 100 steps per minute, keep in step with the beat of a drummer at the head of the column. It is observed that the soldiers in the rear end of the column are striding forward with the left foot when the drummer is advancing with the right. What is the approximate length of the column? (Take the speed of sound to be 343 m/s.)

Answers

Answer:

The value is [tex]D = 205.8 \ m [/tex]

Explanation:

The time taken for the column to take a step mathematically represented as

100 steps => 1 minutes => 60 seconds

1 step => t

=> [tex]t = 0.6 \ s [/tex]

Generally the length of the column is mathematically represented as

[tex]D = v * t[/tex]

substituting 343 m/s for v we have

        [tex]D =  343 * 0.6 [/tex]

  =>    [tex]D =  205.8 \  m  [/tex]

An elevator held by a single cable is ascending but slowing down. Is the work done by tension positive, negative, or zero? What about the work done by gravity? Explain

Answers

Explanation:

1.) Work = Force*Distance

2.) The direction of motion lies in the same direction as the tension in the cable. So the work done by tension would be positive.

3.) The direction of the weight (due to gravity) would act opposite to the direction of motion of the elevator, so work done by gravity becomes negative.

Which of the following is the best thermal conductor?
A. Fiberglass.
B. Stainless.
C. Steel.
D. Wood.
E. Silver

Answers

Answer:

steel because being alloy in metal it has free electrons in metals

A sprinter practicing for the 200-m dash accelerates uniformly from rest at A and reaches a top speed of 41 km/h at the 61-m mark. He then maintains this speed for the next 83 meters before uniformly slowing to a final speed of 34 km/h at the finish line. Determine the maximum horizontal acceleration which the sprinter experiences during the run. Where does this maximum acceleration value occur

Answers

Answer:

2.13 m/s^2.

Find the remaining answer in the explanation

Explanation:

Given that a sprinter practicing for the 200-m dash accelerates uniformly from rest at A and reaches a top speed of 41 km/h at the 61-m mark. He then maintains this speed for the next 83 meters before uniformly slowing to a final speed of 34 km/h at the finish line.

1.) The maximum horizontal acceleration will be when she attained her maximum speed. That is,

Speed = 41 km/h

Convert km/h to m/s

(41×1000) / 3600

Speed = 11.39 m/s

Using speed formula to calculate time

Speed = distance/time

11.39 = 61/t

t = 61/11.39

t = 5.36s

Where the distance = 61 m

Maximum acceleration = velocity /time

Maximum acceleration = 11.39/5.36

Maximum acceleration = 2.13 m/s^2

The maximum acceleration value occurs when the sprinter is starting from rest and attaining the maximum speed.

A car starts at 80 m/s but sees a cop and hits the brakes slowing down to 50 m/s in 2 sec.

Answers

Answer:

-15m/s/s

Explanation:

Acceleration = change in speed/ change in time

The change in speed is calculated by subtracting the initial speed from the final speed, so the change in speed is: 50 - 80 = -30m/s. The change in time is 2 - 0 = 2.

So the car acceleration is -30/2 = -15m/s/s

It is negative because it is decelerating.

Hope this helped!

how many legs a cow has​

Answers

the cow has 4 legs :)

How fast do you go if you move 80 meters in 0.20 seconds?

Answers

Answer: I HOPE IT HELPS

Use this Speed Calculator to calculate the speed you have travelled based ... (so add three 0s to your kilometres to get metres) and a mile is 1609 metres. ... You will have distance per time such as kilometres per hour or metres per second. ... If you want help with that, click on hyperlink for metres or for minutes and seconds.

Explanation:

ball is thrown vertically upward from an initial position 5m above the ground. At the same time, a cube is released from rest down aslippery incline, from an unknownheight. The two objects reach the ground at the same instant, and both have a final speed of 15m/s. What is the angle ofthe incline

Answers

Answer:

The value is [tex]\theta = 34.8 ^o[/tex]

Explanation:

Generally the time it takes the ball to move from maximum height to the ground is

[tex]t = \frac{v - u}{g}[/tex]

Here u= 0 m/s and v = 15 m/s

So

[tex]t = \frac{15 - 0}{9.8}[/tex]

=> [tex]t = 1.53 \ s [/tex]

Generally the maximum height traveled in time t is mathematically represented as

[tex]s = u * t + \frac{1}{2} * g * t^2[/tex]

=> [tex]s = 0 * 1.53 + \frac{1}{2} * 9.8 * 1.53^2[/tex]

=> [tex]s = 11.5 \ m [/tex]

The interval in distance between the maximum height and the initial position of the ball is

[tex]d = s - k[/tex]

Here k = 5 m (given)

[tex]d = 11.5 - 5[/tex]

[tex]d = 6.5 \ m [/tex]

Generally from the kinematic equation we have that

[tex]d = ut_1 + \frac{1}{2} g * t_1 ^2[/tex]

Here [tex] t_1 [/tex] is the time taken to travel through d

[tex]t_1 = \sqrt{ \frac{2 * d }{g} }[/tex]

=> [tex]t_1 = \sqrt{ \frac{2 * 6.5 }{9.8} }[/tex]

=> [tex]t_1 = 1.15 \ s [/tex]

Generally the total time for this fight is mathematically represented as

[tex]t_f = t + t_1[/tex]

=> [tex]t_f = 1.15 + 1.53[/tex]

=> [tex]t_f = 2.68 \ s [/tex]

Generally the vertical force exerted on the cube is mathematically represented as

[tex]F = m * g * sin (\theta )[/tex]

=> [tex] m * a = m * g * sin (\theta )[/tex]

=> [tex] a = g * sin (\theta )[/tex]

Now a is mathematically represented as

[tex]a = \frac{v - u }{t_f}[/tex]

=> [tex]a = \frac{15 - u }{2.68}[/tex]

=> [tex]a = 5.597 \ m/s^2[/tex]

So

[tex] 5.597 = 9.8 * sin (\theta )[/tex]

[tex]\theta = sin^{-1} [\frac{5.597}{9.8} ][/tex]

[tex]\theta = 34.8 ^o[/tex]

What were the physical activities in your childhood that you still do today? Do you spend more time now in doing these activities as compared before? ​

Answers

I used to play tag or run around a lot and sometimes i do these activities but its a lot less now that i am older

Understand that the acceleration vector is in the direction of the change of the velocity vector. In one dimensional (straight line) motion, acceleration is accompanied by a change in speed, and the acceleration is always parallel (or antiparallel) to the velocity. When motion can occur in two dimensions (e.g. is confined to a tabletop but can lie anywhere in the x-y plane), the definition of acceleration is

Answers

Answer:

 a = √ (a_t² + a_c²)

a_t = dv / dt ,    a_c = v² / r  

Explanation:

In a two-dimensional movement, the acceleration can have two components, one in each axis of the movement, so the acceleration can be written as the components of the acceleration in each axis.

            a = aₓ i ^ + a_y j ^

Another very common way of expressing acceleration is by creating a reference system with a parallel axis and a perpendicular axis. The axis called parallel is in the radial direction and the perpendicular axis is perpendicular to the movement, therefore the acceleration remains

         a = √ (a_t² + a_c²)

where the tangential acceleration is

           a_t = dv / dt

the centripetal acceleration is

          a_c = v² / r

3) An explorer walks 13 km due east, then 18 km north, and finally 3 km west.
a) What is the total distance walked?
b) What is the resulting displacement of the explorer from the starting point?

Answers

Answer: 34 km, 21 km  61 degrees north of east

Explanation: distance = 13 + 3 + 18 = 34

   displacement = 13 - 3 = 10

               10^2 + 18^2 = 424

              find the square root of 424 ( 20.5 rounded to 21 )

   

The total distance walked is 34 km and the resulting displacement is 20.6 km.

a) The total distance is gotten by summing up all the distance.

Total distance = Distance moved east + distance moved north + distance moved west

Total distance = 13 km + 18 km + 3 km = 34 km

b) The displacement is the distance from the beginning point to end point.

Displacement² = 18² + (13 - 3)² = 18² + 10²

Displacement² = 424

Displacement = 20.6 km

Therefore the total distance walked is 34 km and the resulting displacement is 20.6 km.

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- Over the weekend you go for an urban hike, traveling 3 miles north then 4 miles west before stopping to take a break. If this hike takes 1 hour, what is your average velocity during that time? - You leave your house to go for a drive to clear your head, driving 10 miles over the course of 30 minutes before arriving back home. What is your average velocity?

Answers

Answer:

A.) 5 mph

B.) 20 mph

Explanation:

Given that you are traveling 3 miles north then 4 miles west before stopping to take a break. If this hike takes 1 hour,

Let's first calculate the displacement be using pythagorean theorem

D = sqrt ( 3^2 + 4^2 )

D = sqrt ( 9 + 16 )

D = sqrt ( 25 )

D = 5

Average velocity = displacement/time

Average velocity = 5/1

Average velocity = 5 mph

Therefore, your average velocity during that time is 5 mph

- You leave your house to go for a drive to clear your head, driving 10 miles over the course of 30 minutes before arriving back home. 

Average velocity = 10/ 0.5

Average velocity = 20 mph

A pendulum built from a steel sphere with radius r cm 5 and density stl kg m S 3 7800 is attached to an aluminum bar with length l m 1 thickness t cm 0 8. and width w cm 4 and density . al kg m S 3 2820 a. Calculate the mass moment of inertia of the pendulum about its center of mass, . cm I b. Calculate the mass moment of inertia of the pendulum about its pivot point, o I .

Answers

Answer:

a)  I = 0.0198 kg m² ,  b)    I = 21.85 kg m²

Explanation:

For this exercise we will use the definition of moment of inertia

        I = ∫ r² dm

For body with high symmetry they are tabulated

sphere  I = 2/5 m r²

bar with respect to  center of mass I = 1/12 m L²

let's calculate the mass of each body

bar

        ρ = m / V

        m = ρ V

        m = ρ l w h

where we are given the density of the bar rho = 32840 kg / m³ and its dimensions 1 m, 0.8 cm and 4 cm

        m = 32820 1 0.008 0.04

        m = 10.5 kg

Sphere

       M = ρ V

       V = 4/3 pi r³

       M = rgo 4/3 π r³

give us the density 37800 kg / m³ and the radius of 5 cm

       M = 37800 4/3 π 0.05³

       M = 19.8 kg

a) asks us for the moment of inertia of the sphere with respect to its center of mass

        I = 2/5 M r²

        I = 2/5 19.8 0.05²

        I = 0.0198 kg m²

b) the moment of inertia with respect to the turning point, for this we will use the theorem of parallel axes

        I = I_cm + M d2

where d is the distance from the body to the point of interest

        I_cm = 0.0198 kg m²

the distance to the pivot point is

        l = length of the bar + radius of the sphere

        l = 1 + 0.05 = 1.005 m

        I = 0.0198 + 19.8 1.05²

        I = 21.85 kg m²

The rain gauge has 2 inches of precipitation.
Qualitative or Quantitative

Answers

Answer:

Quantitative is the correct term

this is quantitative.

quantitative values are ones that can be obtained by measuring something (like using a measuring cup to get 250mL of milk).
qualitative values are one that can be observed (the candle was yellow).

hope this helps :)

An object is released from rest from a top of a building 90 meters high. Neglect air friction.
What is the volume of its acceleration?
Calculate the time it takes to reach the floor?
With what velocity does it reach the floor?
How fast is it moving when it is 50 meter above the floor?

Answers

Answer:

1. a = 9.8 m/s²

2. t = 4.28 s

3. Vf = 42 m/s

4. Vf = 28 m/s  

Explanation:

1.

Since, the body is under free fall motion. Therefore, the value of its acceleration shall be equal to the acceleration due to gravity.

a = 9.8 m/s²

2.

The time taken by the ball to reach the ground can be calculated by using second equation of motion:

h = Vi t + (1/2)gt²

where,

h = height = 90 m

Vi = initial velocity = 0 m/s

t = time taken = ?

Therefore,

90 m = (0 m/s)t + (1/2)(9.8 m/s²)t²

t = √(18.36 s²)

t = 4.28 s

3.

In order to find final velocity we use first equation of motion:

Vf = Vi + gt

Vf = 0 m/s + (9.8 m/s²)(4.28 s)

Vf = 42 m/s

4.

when the ball is at height of 50 m, it means it has covered:

h = 90 m - 50 m = 40 m

we use third equation of motion at this point:

2gh = Vf² - Vi²

(2)(9.8 m/s²)(40 m) = Vf² - (0 m/s)²

Vf = √(784 m²/s²)

Vf = 28 m/s

What the differences between static and kinetic friction?

Answers

Answer:

Static friction prevents a stationary object from moving while kinetic or dynamic friction slows down a moving object.

Explanation:

Static Friction is the maximum force that must be overcome before a stationary object begins to  move, while kinetic or dynamic friction is the maximum force that must be overcome for an object in motion to continue moving at a uniform velocity.

Static friction keeps a stationary object at rest, once the Force of Static friction is overcome, the Force of Kinetic friction is what slows down the moving object.

2. The components of vector A are given as follows:
Ax = 5.6 Ay = -4.7
What is the angle between vector A and positive direction of x-axis?​

Answers

Answer:

50 degree.

Explanation:

Given that the components of vector A are given as follows: Ax = 5.6 Ay = -4.7

The angle between vector A and B in the positive direction of x-axis will be achieved by using the formula:

Tan Ø = Ay/Ax

Substitute Ay and Ax into the formula above.

Tan Ø = -4.7 / 5.6

Tan Ø = -0.839

Ø = tan^-1(-0. 839)

Ø = - 40 degree

Therefore, the angle between vector A and B positive direction of x-axis will be

90 - 40 = 50 degree.

A small block with mass 0.200 kg is released from rest at the top of a frictionless incline. The block travels a distance 0.394 m down the incline in 2.00 s. The 0.200 kg block is replaced by a 0.400 kg block. If the 0.400 kg block is released from rest at the top of the incline, how far down the incline does it travel in 2.00 s

Answers

Answer:

The distance traveled by the second block is 0.197 m

Explanation:

Given;

mass of the small block, m₁ = 0.2 kg

distance traveled by the block, d₁ =0.394 m

time of travel, t = 2 s

mass of the second block, m₂ = 0.4 kg

distance traveled by the second block, d₂ = ?

The work done per unit time on the inclined plane is given by;

[tex]\frac{f_1d_1}{t} = \frac{f_1d_1}{t}\\\\f_1d_1 = f_2d_2\\\\m_1gd_1 = m_2gd_2\\\\m_1d_1 = m_2d_2\\\\d_2 = \frac{m_1d_1}{m_2} \\\\d_2 = \frac{0.2*0.394}{0.4}\\\\d_2 = 0.197 \ m[/tex]

Therefore, the distance traveled by the second block is 0.197 m

What is the volume of a marble with a diameter of 3.0

Answers

Explanation:

You can solve for volume using radius or diameter.

Sphere Volume   =   4/3 • π • r³     =     ( π •d³)/6

We're given the diameter so let's use that.

Volume = PI * d^3 / 6

Volume = 3.14159 * 3.0^3 / 6

Volume = 3.14159 * 9 / 2

Volume = 14.137 cubic centimeters

sam exerts a force of 65 N on a lawn mower with a mass of 25 kg. which formula can be used to calculate the acceleration of a lawn mower

Answers

Answer:

F = ma - with this you will get 2.6 m/s^2

Explanation:

Use this formula to get the acceleration...

where F is force, M is mass and A is acceleration

by using this we get...

65 = 25 * a

so, a = 65/25

Therefore, the acceleration is 2.6 m/s^2

Hope that helped :)

The acceleration of a lawn mower will be 2.6 m/s². It is the ratio of force and the mass.

What is acceleration?

The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.

The given data in the problem is;

The force act on a lawn mower,[tex]\rm F = 65 \ N[/tex]

Mass of  lawn mower,[tex]\rm m = 25 kg[/tex]

The acceleration of a lawn mower is,[tex]\rm a = ?[/tex]

Acceleration, is found as the ratio of force and the mass.

[tex]\rm F= ma \\\\ a = \frac{F}{m} \\\\ a= \frac{65}{25} \\\\ a = 2.6 \ m/s^2[/tex]

Hence, the acceleration of a lawn mower will be 2.6 m/s².

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What are some reasons people may not prepare to be safe and comfortable when they participate in physical activity?

Answers

Answer: ummm arent you in my physical fundations class lol

Explanation:

are you or am i tripping? and sorry i dont have the answer :(

Common reasons people give for not being active include not having enough time, finding physical activity inconvenient, lacking self-motivation, etc.

What is physical activity?

Any consensual bodily mobilization generated by skeletal muscles that necessitate caloric expenditure is characterized as physical activity.

Physical activity includes all activities of any frequency, at any moment of day or night. It incorporates both strength training and incidental activity into the daily routine.

Physical activity can improve your brain health, help you manage your weight, lower your risk of disease, strengthen your bones and muscles, and improve your ability to do everyday tasks.

Adults who sit less and engage in moderate-to-vigorous physical activity reap health benefits.

Internal barriers were classified into three types namely, a lack of energy, a lack of motivation, and a lack of self-efficacy.

External barriers were also classified into three categories namely a lack of resources, a lack of social support, and a lack of time.

Thus, these are some reasons that may not prepare to be safe and comfortable when they participate in physical activity

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Using the equation for for Newton's Second law, m=F/a solve the following problem. You have been given an object with a force of 10N and an acceleration of 2 m/s2, what is the mass?
Group of answer choices

1. 8g

2. 3g

3. 20g

4. 5g

Answers

Answer:

4. 5g

Explanation:

F=ma so, m=Fa. All you have to do is 10/2. Don't be confused by the units. Mass will normally be in grams.

Hitting a ball off a tee would be considered which of the following?

A.

A closed serial skill

B.

An open continuous skill

C.

An open discrete skill

D.

A closed discrete skill

Answers

I think the answer would be B

Calculate the length of segment RS with midpoint, M , if RM = 5x and MS = x + 12.

A. 3

B. 25

C. 30

D. 36

E. 15

Answers

Answer:

the full segment is:  30 units long

which coincides with answer C in your list

Explanation:

If M is the midpoint, then it divides the segment in two equal parts. Then, we can say that:

RM = MS (equality among the two parts of the divided segment)

replacing RM with "5 x" and MS with "x + 12", we get:

5 x = x + 12

solving for x:

5 x - x = 12

4 x = 12

then x = 3

With this info, we can calculate the length of each half of the segment and consequently its full length:

RM = 5 x = 5 (3) = 15

then the full segment is:  30 units long

The position of a particle

Answers

Answer:

vector

Explanation:

The position of a particle is vector

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HELP ME PLEASE NEED HELP ASAP !! The answer is 2.95 (correct to 2 decimal places) List 5 numbers that could have been rounded up to give 2.95 y+7=-2/3(x+6) as a linear function Who killed George Floyd ,and how did he die .how did the protest start 1.How does the traveler in the poem describe thestatue and the area that surrounds it? Citespecific details from the text. Which of the following is a descriptive data mining technique?1. Linear Programming.2. Decision Analysis-Utility Theory.3. SQL.4. Cluster Analysis.5. What-If Analysis. Which of the following sentences is correctly punctuated? John announced, "The library is closing in five minutes." John announced "The library is closing in five minutes" John announced The library is closing in five minutes." John announced "The library is closing in five minutes." 20. Which sentence is capitalized correctly? I walked Home with Kate. I walked home with Kate. i walked home with Kate. I walked home with kate. 21. Choose the sentence that is written correctly. My favorite stores are Bloomingdale's and Macy's. My sister only shops at Nordstrom. My favorite stores are Bloomingdale and Macy. My sister only shops at Nordstroms. My favorite stores are Bloomingdales and Macys. My sister only shops at Nordstroms. My favorite stores are bloomingdales and macy's. My sister only shops at nordstrom. why do you think the district assembly is needed If you speak urdu, please answer this A freight and passenger train share the same track. The average speed of the freight train is 45 mph, whereas that of the passenger train is 70 mph. The passenger train is scheduled to leave 20 minutes after the freight train departs from the same station. Determine the location where a siding would need to be provided to allow the passenger train to pass the freight train. Also determine the time it takes for the freight train to arrive at the siding. As a safety precaution, the separation headway between the two trains at the siding should be at least equal to 6 minutes. 50 points =3 In Western Europe, the Church and local governments often competed for power. At various times during the Middle Ages, popes threatened kings and kings threatened popes. Explain how the relationship between religion and government was different in the Byzantine Empire. A cookie factory uses 4 1/4 bags of flour in each batch of cookies. The factory uses 8 1/2 bags of flour yesterday. How many batches of cookies did the factory make Please help, question is in photo below, about finding angles.AWARDING MORE POINTS excerpt adapted from Heidi by Johanna Spyri When Heidi opened her eyes on her first morning in Frankfurt, she could not think where she was. She was sitting up in a high white bed, on one side of a large, wide room, into which the light was falling through very, very long white curtains. Soon she remembered that she was in Frankfurt. Heidi jumped out of bed; then she ran first to one window and then another; she wanted to see the sky and country outside; she felt like a bird in a cage behind those great curtains. But they were too heavy for her to put aside. As a bird, when it first finds itself in its bright new cage, darts hither and thither, trying the bars in turn to see if it cannot get through them and fly again into the open, so Heidi continued to run backwards and forwards, trying to open first one and then the other of the windows. But the windows remained immovable, try what Heidi would to open them, even endeavoring to push her little fingers under them to lift them up; but it was all no use. At that moment a knock came to the door, and immediately after, Tinette put her head inside and said, "Breakfast is ready." Heidi had no idea what an invitation so worded meant, but soon caught on that she was to go to the kitchen. There, she found Clara, who had been some time at the breakfast table and gave Heidi a kindly greeting. Her face looking considerably more cheerful than usual, for she looked forward to all kinds of new things happening again that day. As soon as the children were alone, Heidi asked, "How can one see out from here, and look right down on to the ground?" "You must open the window and look out," replied Clara amused. "But the windows won't open," responded Heidi sadly. "Yes, they will," Clara assured her. "You cannot open them, nor I either, but when you see Sebastian, you can ask him to open one." It was a great relief to Heidi to know that the windows could be opened and that one could look out, for she still felt as if she was shut up in prison. Clara now began to ask her questions about her home, and Heidi was delighted to tell her all about the mountain and the goats, and the flowery meadows which were so dear to her. 3 Select the correct answer. What is a theme of the passage? A. New places can provide important lessons. B. People often want to explore. C. Change can be difficult at times. D. Young people are often wiser than adults. -3/7(x-52) given x=10 the first prepositional phrase in its entirety in the space provided: In 1908, a strange fireball streaked across the sky. 5 blocks east and 2 blocks north and 6 blocks and then 8 blocks south. what's the total distance traveled? The book is La Llorona by the way. Help please!!!Three fourths of the difference of a number and 7 is negative filteen. What is the number? which unit represents 0.01 liters