A heating element is made by maintaining a potential difference of 75.0 V across the length of a Nichrome wire that has a 3.73 × 10–6 m2 cross section. Nichrome has a resistivity of 5.00 × 10–7 Ω·m. (a) If the element dissipates 7880 W, what is its length? (b) If 107 V is used to obtain the same dissipation rate, what should the length be?

Answers

Answer 1

Answer:

[tex]P=V^2/R[/tex]

[tex]R=V^2/P[/tex]

Upon substituting the values

a) R= 75*75/7800 = 0.72ohm

   Also

   R=ρ*L/A

   L=R*A/ρ

   L=[tex]\frac{0.72*3.73*10^-6 }{5*10^-7}[/tex] = 5.44m

b) when the voltage 107 is used

    R=107*107/7800 = 1.468OHM

     L=[tex]\frac{1.468*3.73*10^-6 }{5*10^-7}[/tex] =11.1m

 


Related Questions

Which is one way that ultrasound technology may be used?
O repairing fractured bones
O locating misplaced electrical equipment
O cleaning dirty surgical tools
O canceling out unwanted noise

Answers

Answer:

Locating misplaced electrical equipment.

Explanation:

Ultrasound is primarily used by doctors to locate fractured bones or damaged organs, so I assume it can be used to locate other things too.

What is the minimum compression of the spring necessary for the block to make it to the top of the hill on the other side?

Answers

Answer:

sciencephysicsphysics questions and answersA 12-kg Block Is Pressed Against A Spring (spring Constant 870 N/m ), Compressing It Some Distance. ...

Question: A 12-kg Block Is Pressed Against A Spring (spring Constant 870 N/m ), Compressing It Some Distance. The Block Is Released From Rest And Slides Across A Track As Shown In (Figure 1). While Most Of The Track Is Frictionless, There Is A 55-cm Section Of Track That Has A Coefficient Of Friction With The Block Of 0.4. A Bit Further On, The Track Ascends ...

A 12-kg block is pressed against a spring (spring constant 870 N/m ), compressing it some distance. The block is released from rest and slides across a track as shown in (Figure 1). While most of the track is frictionless, there is a 55-cm section of track that has a coefficient of friction with the block of 0.4. A bit further on, the track ascends into a hill that is 40-cm tall.

What is the minimum compression of the spring necessary for the block to slide past the section with friction?

What is the minimum compression of the spring necessary for the block to make it to the top of the hill on the other side? 40cm 12kg Ww.w.wwwww 55cm

Explanation:

A mass that has a force of the 10N to the right, 7N up, 3N down, and 4N to the left. What is the net external force on that mass? If the mass is 2kg find the acceleration.

Answers

Net force = square root (6^2 + 4^2) = sq root (36+16) = 7.2 N
acceleration = 7.2 / 2 = 3.6 m/s^2

In an old-fashioned television tube, an electron () starting from rest experiences a force of 4.0 × 10–15 N over a distance of 50 cm. Ignoring the relativistic effects, the final speed of the electron is:

Answers

Answer:

The final speed of the electron is 6.626 x 10⁷ m/s

Explanation:

force applied to the electron, f = 4 x 10⁻¹⁵ N

distance traveled by the electron, d = 50 cm = 0.5 m

The work done on the electron;

W = F x d

W = (4 x 10⁻¹⁵ N) x (0.5 m)

W = 2 x 10⁻¹⁵ J

The kinetic energy of the electron is given by;

[tex]K.E = \frac{1}{2}m_ev^2[/tex]

Apply work - energy theorem;

K.E = W

[tex]\frac{1}{2}m_ev^2 = 2 *10^{-15}\\\\ v^2 = \frac{2( 2 *10^{-15})}{m_e}\\\\v= \sqrt{\frac{2( 2 *10^{-15})}{m_e}}\\\\ v = \sqrt{\frac{2( 2 *10^{-15})}{9.11*10^{-31}}}\\\\v = 6.626*10^7 \ m/s[/tex]

Therefore, the final speed of the electron is 6.626 x 10⁷ m/s

A segment of wire of total length 3 m carries a 10 A current and is formed into a semicircle. Determine the magnitude of the magnetic field (in micro-tesla) at the center of the circle along which the wire is placed.

Answers

Answer:

[tex]B=3.29\ \mu T[/tex]

Explanation:

Given that,

Length of a wire is 3 m

Current in the wore, I = 10 A

The wire formed a semicircle.

We need to find the magnitude of the magnetic field (in micro-tesla) at the center of the circle along which the wire is placed.

The magnetic field at the center of semicircle is given by :

[tex]B=\dfrac{\mu_o I}{4R}[/tex]

R is radius of semicircle,

[tex]R=\dfrac{3}{\pi}=0.954\ m[/tex]

So,

[tex]B=\dfrac{4\pi \times 10^{-7}\times 10I}{4(0.954)}\\\\B=3.29\times 10^{-6}\ T\\\\B=3.29\ \mu T[/tex]

So, the magnitude of the magnetic field is [tex]3.29\ \mu T[/tex].

All living creatures have some form of sleep that they engage in at regular periods, making sleep a(n) __________ function. A. environmental B. biological C. species-specific D. psychological


The answer is B. biological

Answers

Answer:

ans: a biological function

Answer:

B

Explanation:

EDGE2020

The tendon from Lissa’s knee extensor muscles attaches to the tibia bone 1.5 in. (4 cm) below the center of her knee joint, and her foot is 15 in. (38 cm) away from her knee joint. What arc length does Lissa’s foot move through when her knee extensor muscles contract and their point of insertion on the tibia moves through an arc length of 2 in. (5 cm)?

Answers

Answer:

s₂ = 0.475 m = 47.5 cm

Explanation:

The arc length and the angle of rotation are related through the formula:

s = rθ

where,

s = arc length

r = radius of curvature

θ = angle of rotation

First, we consider the arc length covered by the point of insertion of extensor muscles.

s₁ = r₁θ

where,

s₁ = arc length covered by insertion of extensor muscle = 5 cm

r₁ = length of insertion from knee = 4 cm

θ = Angle of Rotation = ?

Therefore,

5 cm = (4 cm)(θ)

θ = (5 cm)/(4 cm)

θ =  1.25 rad

Now, we consider the arc length covered by the foot.

s₂ = r₂θ

where,

s₂ = arc length covered by the foot = ?

r₂ = distance from knee to foot = 38 cm = 0.38 m

The angle of rotation will be the same for the foot as the insertion.

Therefore,

s₂ = (0.38 m)(1.25 rad)

s₂ = 0.475 m = 47.5 cm

The gravity on the moon is 1/6 as strong as that of earth.An object on earth weighs 1 Newton another object on the moon also weighs 1 Newton.Which of the two objects has the greater mass

Answers

Answer:

The object on the moon has greater mass

Explanation:

Given;

weight of the object on Earth, W₁ = 1 N

wight of the object on Moon, W₂ = 1 N

gravity on Earth, g₁ = 9.8 m/s²

gravity on the Moon, g₂ = g₁/6 = 1.633 m/s²

Apply Newton's second law of motion;

Weight of the object on Earth is given by;

W₁ = m₁g₁

m₁ = W₁/g₁

m₁ = 1 / 9.8

m₁ = 0.102 kg

Weight of the object on Moon is given by;

W₂ = m₂g₂

m₂ = W₂ / g₂

m₂ = 1 / 1.633

m₂ = 0.612 kg

Therefore, the object on the moon has greater mass.

A 55kg skateboarder wants to just make it to the upper edge of a quarter pipe, a pipe that is one-quarter of a circle with a radius of 3.10m. What speed does he need at the bottom?

Answers

Answer:

Explanation:

A 52.0 kg skateboarder wants to just make it to the upper edge of a "quarter pipe," a track that is one-quarter of a circle with a radius of 2.60 m .

What speed does he need at the bottom

Let the lowest point of the circle = (0,0)

Center of circle = (0, 2.6)

The height of the circle = 2 * radius = 2 * 2.60 = 5.20 m

Highest point = (0, 5.2)

As the skateboarder moves around ¼ of a vertical circle, the skateboarder moves from the lowest position to a position that is ½ the way up to the highest position. This is the point that is 2.6 meters directly to the right of left of the center = (2.6, 2.6)

As the skateboarder has moved 2.6 m upward, the potential energy increase = m * g * ∆h = 52.0 * 9.8 * 2.6

During this same time, the kinetic energy decreased from the maximum to 0. The decrease of KE = the increase of PE

½ * m * ∆v^2 = m * g * ∆h

½ * 52 * ∆v^2 = 52.0 * 9.8 * 2.6

½ * ∆v^2 = 9.8 * 2.6

∆v = (2 * 9.8 * 2.6)^0.5 = 7.14 m/s

The velocity at highest point, (2.6,2.6) is 0 m/s

So the velocity at the lowest point must be 7.14 m/s

Let’s see if the skateboarder has enough KE to move upward 2.6 m.

KE at bottom = ½ * 52 * 7.14^2 = 1325.5

PE = 52 * 9.8 * h

52 * 9.8 * h = 1325.5

h = 2.6 m

The answer is OK

The speed needed by the skateboarder at the bottom is 7.8 m/s.

The given parameters;

mass of the skateboarder, m = 55 kgradius of the quarter pipe, r = 3.1 m

Apply the principle of conservation of mechanical energy to determine the sped of the skateboarder at the bottom;

[tex]P.E_{top} = K.E_{bottom}\\\\mgh = \frac{1}{2}mv^2\\\\gh = \frac{1}{2} v^2\\\\v^2 = 2gh\\\\v = \sqrt{2gh} \\\\v = \sqrt{2\times 9.8 \times 3.1} \\\\v = 7.8 \ m/s[/tex]

Thus, the speed needed by the skateboarder at the bottom is 7.8 m/s.

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Two identical objects of the same size and shape are dropped. One is dropped from a table, while the other is dropped from the top of a tall building. Which will hit the ground with more impact?

Answers

the one from the tall building will have more impact because it is going at a faster pace towards the ground

Answer:

These two objects hit the ground at the same time. But their impact velocity will be different

because they are dropped from different heights.

The one that is dropped from the building will have more impact when it hits the ground because gravity causes this onject to fall toward the ground at a faster and faster velocity the longer the object falls. In fact, its velocity increases by 9.8 m/s2.

Explanation:

Initial velocity of the object u=0

Final velocity of the object when it reaches the ground v=A m/s

Using v^2−u^2=2gS where g=10m/s^2

A^2 −0^2=2(10)H

A^2=20*H H- heigh from the table

Object falling from the building will have the same initial velocity but different heigh.

T>H

so

B^2=20*T

20*T>20*H

so B^2>A^2

it equal to B>A so object falling from the building will have more impact than falling from the table.

Which muscles pump blood through your heart and body?
a
Cardiac
b
Skeletal
c
Smooth
d
Strong

Answers

Cardiac muscles pump blood from your heart to you body because your heart pumps blood and cardio means heart

a force of 193 pounds makes an angle of 86.27 with a second force. The resultant of the two forces makes an angle of 31.4 to the first force. Find the magnitudes of the second force and of the resultant.

Answers

Answer:

Explanation:

Let force P = 193 pounds

second force = Q

Angle that resultant makes with force P is θ

Tanθ = Q sin86.27 / (P + Q cos86.27 )

Tan 31.4 = Q sin86.27 / (193 + Q cos86.27 )

.61 = .99 Q / (193 + .065Q )

117.73 + .04 Q = .99Q

117.73 = .95 Q

Q = 123.93  pounds .

What is the average velocity of the cart? Is the velocity increasing decreasing or constant as the cart moves along the air track?

Answers

Answer:

It is increasing .60 m/s

Explanation:

I HAVE A QUESTION ABOVE CAN ANYONE PLEASE HELP ME I WOULD REALLY APPRECIATE THE HELP I HAVE BEEN ON THIS QUESTION FOREVER i will give you the brainlist !!!!!

Answers

Answer:

answer is C

Explanation:

Answer: Monetary policy used during times of recession

Explanation:

What would be the luminosity of the Sun if its surface temperature were 4000 K and its radius were 2.0 AU ?

Answers

Answer:

0.04558

Explanation:

Luminosity is defined as the total amount of energy a star can produce in a second. Luminosity is given by the formula

σ * A * T⁴

where;

σ = Stefan-Boltzmann constant

= 5.670367 * 10⁻⁸

A= Surface Area

=4πr²

T= Temperature in Kelvin

In the question,

Temperature= 4000K

Radius= 2.0 A.U

Substituting the variables into the equation,

0.000000056704 * 4(3.14)(2.0²) * 4000⁴

= 0.000000056704 * 50.24 * 16000

= 0.04558

Gray used a pulley to lift a 300 N object a distance of 3 m. It took Gray 30 seconds to lift the object. How much WORK did Gray exert?

Answers

Answer:

900J

Explanation:

The Work done can be calculated using

Work done = force × distance

According to this question, force = 300N, distance = 3m

Work done = 300 × 3

Work done = 900J

Gray exerted 900J of work

Two points are on a disk that rotates about an axis perpendicular to the plane of the disk at its center. Point B is 3 times as far from the axis as point A. If the linear speed of point B is V, then the linear speed of point A is:_______

a. 9V.
b. 3V.
c. V.
d. V/3.
e. V/9.

Answers

Answer:

D. V/3.

Explanation:

V = rw

At point a

Linear velocity

= Va = rw

At point b

We have,

V = 3rw

So linear velocity of a

= V/Va = 3rw/re

I cross multiples and after which I got Va = v/3

Please view attachment

Answer:

The linear speed of point A is [tex]\frac{V}{3}[/tex] (Option D)

Explanation:

The relation between linear and angular velocity,

[tex]V = rw[/tex]

Now, for point A the linear velocity is

[tex]V_A = rw[/tex]

And for point B

[tex]V = 3rw[/tex]

Therefore, the linear velocity of the point A

[tex]\frac{V}{V_A} = \frac{3rw}{rw}\\\\V_A = \frac{V}{3}[/tex]

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Based on these photographs, how do Mars's surface and atmosphere differ from Earth's?

Answers

Answer:

Explanation:

Mars does not appear to have any water, while Earth is mostly water. Mars also has yellow-brown sky (pink-brown at sunrise and sunset), which suggests that it has a different atmospheric makeup.

Answer:

Mars does not appear to have any water, while Earth is mostly water. Mars also has yellow-brown sky (pink-brown at sunrise and sunset), which suggests that it has a different atmospheric makeup.

Explanation:

A uniform string of length 2.5 m and mass 0.01 kg is placed under a tension of 10 N. (5 pts) A) What is the frequency of the fundamental mode

Answers

Answer:

The fundamental frequency is 10 Hz

Explanation:

The frequency of the fundamental mode of the string is given by;

[tex]f_o =\frac{1}{2l}\sqrt{\frac{T}{\mu }[/tex]

where;

L is length of the string = 2.5 m

T is tension of the string, = 10 N

μ is mass per unit length = m / L = 0.01 / 2.5 = 0.004 kg/m

Substitute the given values and solve for the frequency;

[tex]f_o =\frac{1}{2l}\sqrt{\frac{T}{\mu }}\\\\ f_o =\frac{1}{2*2.5}\sqrt{\frac{10}{0.004}}\\\\ f_o = 0.2\sqrt{2500}\\\\ f_o = 0.2 *50\\\\f_o = 10 \ Hz[/tex]

Therefore, the fundamental frequency is 10 Hz

A 3.05 kg block is sliding across level ground and feels a 5.27 N friction force. What is the coefficient of friction?

Answers

Answer:

0.176

Explanation:

(5.27)/(3.05*9.8)

It is indeed 0.176 for the answer.

If you pour liquid into a tall, narrow glass, you may hear sound with a steadily rising pitch. What is the source of the sound

Answers

Answer:

the vibration of the glass tube creating sound waves within itself.  reason is the rising pitch is that the liquid rise shortens the length of the vibrating area within the tube.

Explanation:

What is the potential energy of a 20-kg safe sitting on a shelf 0.5 meters
above the ground?
A-20j
B-10j
C-98j
D-196j

Answers

Answer:

C - 98j

Explanation:

Answer:

c- 98j

hope it helped

Find μsμsmu_s, the coefficient of static friction between the rod and the rails. Express the coefficient of static friction in terms of variables given in the introduction.

Answers

Answer:

The question is incomplete. However the complete question is :

A Rail Gun uses electromagnetic forces to accelerate a projectile to very high velocities. The basic mechanism of acceleration is relatively simple and can be illustrated in the following example. A metal rod of mass m and electrical resistance R rests on parallel horizontal rails (that have negligible electric resistance), which are a distance L apart. The rails are also connected to a voltage source V, so a current loop is formed.

The vertical magnetic field, initially zero, is slowly increased. When the field strength reaches the value [tex]$B_0$[/tex], the rod, which was initially at rest, begins to move. Assume that the rod has a slightly flattened bottom so that it slides instead of rolling. Use g for the magnitude of the acceleration due to gravity.

Find μs, the coefficient of static friction between the rod and the rails.

Express the coefficient of static friction in terms of variables given in the introduction.

So the answer is : [tex]$\mu_s=\frac{\Delta V LB_0}{Rmg}$[/tex]

Explanation:

It is given : B = [tex]$B_0$[/tex]

Therefore, using force on the current carrying wire is:

[tex]$\mu_s mg = B_0IL$[/tex]

[tex]$\mu_s= \frac{ILB_0}{mg}$[/tex]

Therefore,

[tex]$\mu_s=\frac{\Delta V LB_0}{Rmg}$[/tex]

The coefficient of static friction in terms of variables will be [tex]\rm \mu_s =\frac{ \triangle VLB_0}{Rmg} \\\\[/tex].

What is the cofficient of static friction?

The ratio of the greatest static friction force (F) between the surfaces in contact before movement begins to the normal (N) force is the coefficient of static friction.

The given data in the problem is;

[tex]\rm B=B_0[/tex]

The force on a current-carrying wire is balanced by the friction force.

The force on a current-carrying wire is given by;

[tex]\rm \mu_s mg= B_0IL \\\\ \rm \mu_s=\frac{ILB_0}{mg}\\\\ \rm \mu_s= \frac{\triangle VLB_0}{Rmg}[/tex]

Hence the coefficient of static friction in terms of variables will be [tex]\rm \mu_s =\frac{ \triangle VLB_0}{Rmg} \\\\[/tex].

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Calculate the magnitude of the internal normal force, NB, shear force, VB, and moment, MB, at point B.

Answers

Answer:

The answer is "[tex]\bold{MB= \frac{L^2 \ WB}{12}}[/tex]"

Explanation:

please find the complete question in the attached file:

From A to B  

[tex]reqAB = \int^{\frac{1}{2}}_{0} \frac{WB}{\frac{L}{2}} x \ dx = \frac{L\ WB}{4}[/tex]

From symmetry [tex]Ay = Cy = FeqAB[/tex]  

The FeqAB position is found on a table of common centres:

[tex]\frac{2}{3}( \frac{L}{2})[/tex]

[tex]\to \Sigma_{NB=0} FX = NB=0\\\\\to \Sigma_{VB=0} Fy = \frac{LWB}{4} - \frac{LWB}{4} -VB =0 \\\\\to \Sigma M_{.CCW \ A} = \frac{L}{3} - \frac{LWB}{4} - \frac{L}{2}VB+MB =0 \\\\MB= \frac{L^2 \ WB}{12}[/tex]

A truck is traveling at an initial velocity
of +39m/s and it starts slowing down smoothly for 3.3s. It covers a distance of 45m while slowing down. What is the acceleration?​

Answers

Answer:

Approximately [tex]-15.37m/s^2[/tex]

Explanation:

The acceleration can be found using the formula:

[tex]x_{f} = x_{i} + v_{i} (t)+\frac{1}{2} (a)(t^{2} )[/tex]

The work is as shown:

[tex]45m = 0 + 39 m/s (3.3s)+\frac{1}{2} a(3.3s)^2[/tex]

[tex]45m=128.7m + 5.445s^2 a[/tex]

[tex]-83.7m=5.445s^2a[/tex]

[tex]a = -15.37190083m/s^2[/tex]

a is about -15.37[tex]m/s^2[/tex]

Calculate the peak voltage (in Volts) of a generator that rotates its 200-turn, 0.100 m diameter coil at 3.5 x 103 rpm in a 0.7 T field. You should round your answer to the nearest integer, do not include unit.

Answers

Angular velocity of the coil :

[tex]\omega=\dfrac{2\pi n}{60}[/tex]

[tex]\omega=\dfrac{2\times \pi\times 3500}{60}\\\\\omega =366.52\ rad/s[/tex]

Now,

Peak voltage is given by :

[tex]V=NAB\omega\\\\V= 200\times \dfrac{\pi (0.1)^2}{4}\times 0.7\times 366.52\\\\V=403.01\ V[/tex]

Hence, this is the required solution.

The speed of light in vacuum is exactly 299,792,458 m/s. A beam of light has a wavelength of 621 nm in vacuum. This light propagates in a liquid whose index of refraction at this wavelength is 1.18.What is the speed of this light in the liquid

Answers

Answer:

2.54*10^8 m/s

Explanation:

Given that

Speed of light in space, c = 299792458 m/s

Wavelength of the beam of light, λ = 621 nm or 621*10^-9 m

Index of refraction of the liquid, n = 1.18

Speed of light in the liquid, v = ?

The index of refraction of an optical material, n is given by the following formula.

n = c/v, and if we substitute directly, we have

1.18 = 299792458 / v, if we make v subject of formula, we have

v = 299792458 / 1.18

v = 2.54*10^8 m/s

A 75.0 kg skier slides down a 75.0 m high slope without friction. The velocity of the skier at the bottom of the slope is

Answers

Answer:

v = 38.34 m

Explanation:

Given that,

Mass of a skier, m = 75 kg

It falls down a 75.0 m high slope without friction, h = 75 m

We need to find the velocity of the skier at the bottom of the slope. It is based on the concept of conservation of energy. So, v is the required velocity. So,

[tex]mgh=\dfrac{1}{2}mv^2\\\\v=\sqrt{2gh} \\\\v=\sqrt{2\times 9.8\times 75} \\\\v=38.34\ m/s[/tex]

So, the velocity of the skier at the bottom of the slope is 38.34 m.

A scout hikes 2.35KM east of a campsite he takes a break for lunch and then hikes another 1.25 KM north of the location where he ate lunch. what distance is the scout from the campsite

Answers

Answer:

mk7000000.0000000000

The most distant galaxy we have observed is more than
13.2 billion light-years away.
What does this evidence indicate?
e
A. That the universe is less than 13.2 billion years old
B. That the universe will exist for at least 13.2 billion more years
C. That the universe is at least 13.2 billion years old
D. That the universe is infinitely large and has always existed

Answers

Answer:

That the universe is at least 13.2 billion years old

Explanation:

The most distant galaxy we have observed is more than 13.2 billion light-years away. this evidence indicates. That the universe is at least 13.2 billion years old

What is the universe?

The universe is the sum total of all existent matter and space. The universe is estimated to be at least 10 billion light-years across and contains an enormous number of galaxies;

It has been expanding since the Big Bang some 13 billion years ago.

The most distant galaxy we have observed is more than 13.2 billion light-years away. this evidence indicates. That the universe is at least 13.2 billion years old

Hence option c is correct.

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PLEASE HELPYou are walking to school one day and can't wait to give Mr. DeBaz the homework you finished. As you are walking down the street, a zombie comes out from behind the Dunkin' Donuts. He looks at you, growls, and starts coming after you. You are being chased by a zombie and you run 2 m/s. You are trying to get to the school, for safety, and it is 250 m away. How long will it take you to get there? Help me please will give brainliest!!! where is it supposed to go lol A few boats were traveling upstream and downstream. A satellite recorded the movements of several boats. A motor boat traveled -3.4 miles for every hour in 0.75 hours. How much progress?Explain PLSLSLLSLSLSLSLS HELLLPPP ILL GIVE BRAINLIEST What point of view does Abraham Lincoln express in this excerpt from his Second Inaugural Address? Shirts are on sale for 20%.You buy 2 of them. As you pay, the cashier says, 20% off of each shirt means 40%off the total price. Do you agree or disagree? Please explain thoroughly. Which structure is found in all eukaryotic cells?Cilia Large central vacuoleFlagella Golgi apparatus Paula chooses to study at night, in the library, with a friend from class. Her study plan reflects which of the journalists' questions that can help define study strategies?" The density of Germanium is 5.32 g/cm. Youmeasure out 37.72 g. What is its volume?Correct units and significant figures must beincluded for full credit.please help Provide the answers to the following questions with information from the current Official NFL Rulebook.How many points are scored for a Touchdown?How many points are scored for a safety?How many points are scored for a field goal?If the running back drops the ball, is the ball alive or dead?If the quarterback throws the ball to a receiver, but the receiver does not catch the ball, is the ball alive ordead?If a defensive player intercepts the ball, is the ball alive or dead?If a player with the ball runs out of bounds, what happens?After scoring a held goal, the scoring team will then perform a K_ ,If the offense fails to score a first down on their fourth down what happens? Find the missing coordinates given the following information:Coordinate A is Translated 1 unit left and 10 units up. A(-6,-3) A'(x',y') How wazzzz ya'll Day today? what is 40m+ 100m Daily go from home to school driving my car the school is 15 miles (d) from my house. The speed limit is 30 miles per hour. I have to be at school not after 08:00 am (t1). Repersents the time leave home, where the limit is defined by d=s(t1-t0 What time should I leave home? Help!!!Name 3 ways that Roman Law influenced democracy. the histograms below summarize the average travel time to work for random samples of 70 workers in the los angeles area and 61 workers in thr new york city area. a) briefly compare the distribution of travel times for these two regionsb) suppose you wanted to make the point that typical travel time is longer in the new york city area than in the los angeles area. which measure of center would you use? justify your answer (3) 4 is 80% of what number? Compared to citizens in an autocracy, citizens in a democracy are more likely to a-serve in the military. b-have a job c-hold political office. d-go to school Thank goodness the x-ray revealed no blank Growth.A. disheartenB. MalignantC. Bewilder Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.2. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.4. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.6. Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations. No crees que ellos ____ (querer) usar energa solar.