When a p-n-p transistor is operated in saturation region, then its ___________

Answers

Answer 1

Answer:

Base-emitter and Base-collector junctions are forward biased


Related Questions

Suppose you wanted to hold up an electron against the force of gravity by the attraction of a fixed proton some distance above it. How far above the electron would the proton have to be? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2, e = 1.6 × 10-19 C, mproton = 1.67 × 10-27 kg, melectron = 9.11 × 10-31 kg)

Answers

Answer:

The value is  [tex]r = 5.077 \ m[/tex]

Explanation:

From the question we are told that

   The  Coulomb constant is  [tex]k = 9.0 *10^{9} \ N\cdot m^2 /C^2[/tex]

   The  charge on the electron/proton  is  [tex]e = 1.6*10^{-19} \ C[/tex]

    The  mass of proton [tex]m_{proton} = 1.67*10^{-27} \ kg[/tex]

    The  mass of  electron is  [tex]m_{electron } = 9.11 *10^{-31} \ kg[/tex]

Generally for the electron to be held up by the force gravity

   Then    

       Electric force on the electron  =  The  gravitational Force

i.e  

            [tex]m_{electron} * g = \frac{ k * e^2 }{r^2 }[/tex]

         [tex]\frac{9*10^9 * (1.60 *10^{-19})^2 }{r^2 } = 9.11 *10^{-31 } * 9.81[/tex]

         [tex]r = \sqrt{25.78}[/tex]

         [tex]r = 5.077 \ m[/tex]

How do you solve this ?
Why is the ans C not B ?

Answers

Explanation:

Draw a free body diagram of the toolbox.  There are two forces:

Weight force mg pulling down,

and applied force F pulling up.

Sum of forces in the y direction:

∑F = ma

F − mg = ma

45 N − 15 N = (3 kg) a

a = 10 m/s²

The answer should be B.  It's possible the answer key has a mistake.

J. Henry Alston was the first African American to publish his research findings on the perception of heat and cold in a major US psychology journal. Please select the best answer from the choices provided T F

Answers

Answer:

True

Explanation:

J. Henry Alston was known as a famous African American psychologist. He was known through his detailed study of the sensations of heat and cold which is a necessity for all humans.

He however became the first African American to publish his research findings on the perception of heat and cold in a major US psychology journal which gave him recognition in his field.

Answer:

True        YOUR WELCOME        

A photographer uses his camera, whose lens has a 50 mm focal length, to focus on an object 1.5 m away. He then wants to take a picture of an object that is 30 cm away.
How far must the lens move to focus on this second object?

Answers

Answer:

The distance is [tex]z = 0.008 \ m[/tex]

Explanation:

From the question we are told that

   The  focal length is  [tex]f = 50 \ mm = 50*10^{-3} \ m[/tex]

   

Generally the lens equation is mathematically represented as  

     [tex]\frac{1}{u} + \frac{1}{v} = \frac{1}{f}[/tex]

At  image  distance  u =  1.5 m

       [tex]\frac{1}{1.5} + \frac{1}{v} = \frac{1}{50 *10^{-3}}[/tex]

=>      [tex]\frac{1}{50 *10^{-3}} - \frac{1}{1.5} = \frac{1}{v}[/tex]

=>[tex]v = 0.052 \ m[/tex]

At  image  distance  [tex]u = 30\ cm = 0.30 \ m[/tex]

        [tex]\frac{1}{0.3} + \frac{1}{v_1} = \frac{1}{50 *10^{-3}}[/tex]

=>     [tex]\frac{1}{50 *10^{-3}} - \frac{1}{0.30 } = \frac{1}{v_1}[/tex]

=>    [tex]v_1 = 0.06 \ m[/tex]

The distance the lens need to move is evaluate as

   [tex]z = |v - v_1|[/tex]

   [tex]z = |0.052 - 0.06|[/tex]

   [tex]z = 0.009 \ m[/tex]

What is the wavelength of the electromagnetic radiation needed to eject electrons from a metal?

Answers

Answer:

λ = hc/(eV + h[tex]f_{0}[/tex])

Explanation:

Let the work function of the metal = ∅

the kinetic energy with which the electrons are ejected = E

the energy of the incident electromagnetic wave = hf

Then, we know that the kinetic energy of the emitted electron will be

E = hf - ∅

because the energy of the incident electromagnetic radiation must exceed the work function for electrons to be ejected.

This means that the energy of the incident e-m wave can be written as

hf = E + ∅

also, we know that the kinetic energy of the emitted electron E = eV

and the work function ∅ = h[tex]f_{0}[/tex]

we can they combine all equations to give

hf = eV + h[tex]f_{0}[/tex]

we know that f = c/λ

substituting, we have

hc/λ = eV + h[tex]f_{0}[/tex]

λ = hc/(eV + h[tex]f_{0}[/tex])    This is the wavelength of the e-m radiation needed to eject electrons from a metal.

where

λ is the wavelength of the e-m radiation

h is the Planck's constant = 6.63 x 10^-34 m^2 kg/s

c is the speed of e-m radiations in a vacuum = 3 x 10^8 m/s

e is the charge on an electron

V is the voltage potential on the electron

[tex]f_{0}[/tex] is the threshold frequency of the metal

An object has a height of 0.066 m and is held 0.210 m in front of a converging lens with a focal length of 0.140 m. (Include the sign of the value in your answers.)
(a) What is the magnification?
(b) What is the image height?
m

Answers

Explanation:

Given that,

Size of object, h = 0.066 m

Object distance from the lens, u = 0.210 m (negative)

Focal length of the converging lens, f = 0.14 m

If v is the image distance from the lens, we can find it using lens formula as follows :

[tex]\dfrac{1}{v}-\dfrac{1}{u}=\dfrac{1}{f}\\\\\dfrac{1}{v}=\dfrac{1}{f}+\dfrac{1}{u}\\\\\dfrac{1}{v}=\dfrac{1}{0.14 }+\dfrac{1}{(-0.21)}\\\\v=0.42\ m[/tex]

(a) Magnification,

[tex]m=\dfrac{v}{u}\\\\m=\dfrac{0.42}{(-0.21)}\\\\m=-2[/tex]

(b) Magnification, [tex]m=\dfrac{h'}{h}[/tex]

h' is image height

[tex]-2=\dfrac{h'}{0.066}\\\\h'=-2\times 0.066\\\\h'=-0.132\ m[/tex]

Hence, this is the required solution.

A satellite travels around the earth at 37,000 km/hr. How far will it travel after 13 hours?

Answers

Explanation:

Distance = speed × time

d = (37,000 km/hr) (13 hr)

d = 481,000 km

The ability of sculptural material to resist forces of pressure, like gravity, is called its __________.

Answers

I think the answer would be tensile, I’m sorry if it’s wrong

.If we had two unknown masses on opposite sides of the pivot, could we calculate both masses given just the information used in the experiment? Explain.

Answers

Answer:

No

Explanation:

No, it is impossible to calculate the two masses.

From the statement, there is one known mass on one of the side of the pivot and one "mystery" mass object on the other side of the pivot, so that we have to move that mystery mass or that known mass in a way that it balances both.

We need to know at least one mass. We cannot use any equilibrium condition involving torque  with unknown masses.

Water flows through a 0.5 cm diameter pipe connected to a 1 cm diameter pipe. Compared to the speed of the water in the 0.5 cm pipe, the speed in the 1 cm pipe is

Answers

A

Answer:

Speed of water in the 0.5cm diameter will be faster because it has a smaller area

Since area x radius ² so if radius is reduced by 0.5 speed is increased by 4times in the 0.5 diameter pipe

Maggie completed a 10000-m race at an average speed of 160
m/min. If Tom took 12.5 fewer minutes to complete the race,
what was Tom's average speed?

Answers

Answer: 200m/min

Explanation:

Divide 10000m by 160m/min, you will get the answer 62.5. You then subtract 12.5 from 62.5 to understand what you will need your answer for the other person’s speed will be. 10000m divided by 50min is 200m/min.

light of wavelength 610 nm is incident on a narrow slit. The angle between the first diffraction minimum on one side of the central meximum and the first minimum on the other side is 1.23°. What is the width of the slit?

Answers

Answer:

The width of the slit is    [tex]d = 5.68 *10^{-5} \ m[/tex]

Explanation:

From the question we are told that

    The wavelength is  [tex]\lambda = 610 \ nm = 610 *10^{-9} \ m[/tex]

     The  angle is  [tex]\theta = 1.23 ^o[/tex]

Generally the angle between the first minimum on one side and that the central maximum is evaluated as

            [tex]\theta _1 = \frac{\theta}{2}[/tex]

=>         [tex]\theta _1 = \frac{1.23}{2}[/tex]

=>         [tex]\theta _1 = 0.615 ^o[/tex]

Generally the condition for minimum diffraction is mathematically represented  as

        [tex]d sin \theta_1 = n\lambda[/tex]

For first minimum n = 1

=>    [tex]d = \frac{n \lambda }{ sin (\theta_1)}[/tex]

=>    [tex]d = \frac{1 * 610 *10^{-9}}{ sin (0.615)}[/tex]

=>    [tex]d = 5.68 *10^{-5} \ m[/tex]

Neutrons travelling at 0.400 m/s are directed through a pair of slits having 1.00 m separation. an array of detectors is placed 10.0 m from the slits.
a) What is the de Broglie wavelength of the neutrons?
b) How far off axis if the first zero-intensity point on the detector array?
c) When a neutron reaches a detector, can we say which slit the neutrons passed through? Explain.

Answers

Answer:

9.91*10^-7 m

4.955*10^-6 m

Explanation:

Given that

v = 0.4 m/s

d = 1 m

L = 10 m

h = 6.62*10^-34 Js

m(neutron) = 1.67*10^-27 kg

To find the debroglie wavelength of the neutron, we use the formula

λ = h/mv

Now, we plug in the values we have listed.

λ = 6.62*10^-34 / (1.67*10^-27 * 0.4)

λ = 6.62*10^-34 / 6.68*10^-28

λ = 9.91*10^-7 m

b)

y1 = L (m + ½) λ/d, where m = 0

y1 = L (0 + ½) λ/d

y1 = L (½) λ/d

y1 = L/2 * λ/d or

y1 = Lλ/2d

now, we substitute the values for each of them, we have

y1 = (10 * 9.91*10^-7) / (2 * 1)

y1 = 9.91*10^-6 / 2

y1 = 4.955*10^-6 m

c) no, we can not say the neuron passed through one slit

A relaxed biceps muscle requires a force of 25.0N for an elongation of 3.0 cm; under maximum tension, the same muscle requires a force 500N for the same elongation. Find the Young's modulus for the muscle tissue under each of these conditions if the muscle can be modeled as a uniform cylinder with an initial length of 0.200 m and a cross-sectional area of 50 cm^2.

Answers

3.3 x10^4N/m²

6.7 x105N/m²

Explanation:

Let the young modulus of the relaxed biceps be

Y= F¹Lo/ deta L1 x A

= 25 x0.2/ 0.03* 50cm²(1m²

0.0004cm^-²)

= 3.3x10^4N/m²

But young modules of muscle under maximum tension will be

Y= F"Lo/ deta L" x A

= 500x 0.2/ 0.03* 50cm²(1m²

0.0004cm^-²)

= 6.7 x10^5N/m²

The Young's Modulus of the relaxed muscle and the muscle under maximum tension is 3.3×10⁴ N/m² and 6.6×10⁵ N/m² respectively.

Young's Modulus:

Assuming the biceps muscle as a uniform cylinder with an initial length of L = 0.2 m and cross-sectional area of A = 50cm² = 0.05m²

(i) For the relaxed muscle:

Force required for elongation of ΔL = 0.03m is, F = 25 N

Young's Modulus (Y) = stress/strain

Now, stress =  F/A,

and strain = ΔL/L

thus,

Y = (F/A) / (ΔL/L)

Y = FL/AΔL

Y = (25×0.2)/(0.05×0.03)

Y = 3.3×10⁴ N/m²

(ii)(i) For the muscle under maximum tension:

Force required for elongation of ΔL = 0.03m is, F = 500 N

Young's Modulus (Y) = stress/strain

Now, stress =  F/A,

and strain = ΔL/L

thus,

Y = (F/A) / (ΔL/L)

Y = FL/AΔL

Y = (500×0.2)/(0.05×0.03)

Y = 6.6×10⁵ N/m²

Learn more about Young's Modulus :

https://brainly.com/question/18793028?referrer=searchResults

It is found that an engine rejects 100.0 J while absorbing 125.0 J each cycle of operation.
(a) What is the efficiency of the engine?
(b) How much work does it perform per cycle?

Answers

a) 0.2
b) 25 J
.........

A volleyball is released three times from three different heights: 5 m, 10 m, and 20 m. Which statement is correct about the volleyball?

The volleyball accelerates more quickly toward the ground when released from a higher height.

The volleyball accelerates the same amount toward the ground each time.

The volleyball accelerates more slowly toward the ground when released from a higher height.

The volleyball may accelerate more quickly or slowly depending on its mass.

A student is setting up an experiment with 10 different balls. The student wants to measure which ball hits the ground with the largest force when released from a box 5 feet above the ground. Which quantity should be measured to correctly calculate the force with which each ball hits the ground?

the initial velocity of each ball
the mass of each ball
the rate at which the velocity of each ball increases
the final velocity of each ball right before hitting the ground

Answers

Explanation:

1)

The answer is

The volleyball accelerates the same amount toward the ground each time.

Because gravitational acceleration is constant irrespective of altitude(height) or mass of the object.

2)

The answer is

the mass of each ball

because gravitational force is given by

F = mg

since g is a constant, he only needs to measure the mass if each ball

The concepts of free fall and Newton's second law allow to find the correct answers

1) Acceleration is constant

2) The mass of the body

The game of volleyball consists of throwing the balls from the serve to pass it to the other court, this is a two-dimensional movement type projectile launch, in this type of movement the acceleration is the constant on the y axis, it is called acceleration of the gravity and vale (g = 9.8 m / s²)

1) Let's review the different statements of the first part regarding acceleration.

a) The ball accelerates faster as it goes down

   False. Acceleration is constant

b) The ball accelerates the same amount

   True. Acceleration is constant and directed on the vertical axis

c) The ball accelerates slower or faster

     False. Acceleration is constant

The vertical launch of kinematics, establishes that the ball as it descends it goes faster with an acceleration equal to the acceleration of gravity, in this part it is asked to look for the force of the ball when it reaches the ground, for this the second is used Newton law

           F = m a

where in this case the acceleration is the acceleration of gravity

          a = g

          F = m g

Let's review the different claims

a) Initial velocity

    False. To calculate the force you only need the mass since acceleration is constant

b) The mass

    True. The product of the mass and the acceleration of gravity gives the force with which the ball hits the ground

c) Increasing speed

    False. Increasing speed allows calculating acceleration not force

d) The final speed

     False. Force does not depend on the speed of the body

In conclusion using the concepts of free fall and Newton's second law we can find the correct answers:

1)  Acceleration is constant

2) Body mass

Learn more about free fall and Newton's second law here:

https://brainly.com/question/19897308

Remove the wood block from the water. Place the brick block into the water and let it sink. How much water does the brick block displace? Hint: This is the liquid level with the block minus the liquid level before the block is added.

Answers

Answer:

the volume desalinated  that is placed is equal to the volume of the block.

Explanation:

For this exercise we use the Archimedean principle which states that the thrust is equal to the weight of the desalted liquid.

                      B = ρ g V

When we have the block of wood the volume of water desalinated in the volume of the block under water, this is because the wood floats in the water

When placing the block of clay (brick), it sinks, so the volume desalinated  that is placed is equal to the volume of the block.

          V_body = V_waer = l to h

A source vibrating at constant frequency generates a sinusoidal wave on a string under constant tension. If the power delivered to the string is tripled, by what factor does the amplitude change

Answers

Answer:

n = 1,732    the amplitude must be increased by a factor of 1,732

Explanation:

The power delivered by a wave is given by

                  P = E / t

                  P = ½ μ w² v A²

let's apply this expression to our case the power tripled

                3P₀ = ½ μ w² v A’²

                 

let's write the amplitude function of a initial amplitude

               A ’= n A₀

where n is a number

               3 P₀ = (½ μy w² v  A₀²) n²

               3P₀ = P₀ n²

               n = √ 3

               n = 1,732

therefore the amplitude must be increased by a factor of 1,732

The measured value of the latent heat of vaporization of helium (at 1 atm) is
84 J/mol. Use this to estimate the binding energy of helium atoms in the liquid.
a. 2.6 x 10-6 eV
b. 3.6 x 10-4 eV
c. 5.1 x 10-4 eV
d. 8.6 x 10-3 eV
e. 3.6 x 10-2 eV

Answers

Answer:

d. 8.6 x 10-3 eV

Explanation:

Binding energy is energy that binds two atoms together . Energy is required to separate them . In the process of evaporation , energy is required to separate each molecules/ atoms  of liquid so that they are separated and then get evaporated . That is why latent heat of evaporation is required .

1 mole of helium will contain 6.02 x 10²² atoms of it .

binding energy per atom  = 84 / 6.02 x 10²² J

= 13.953 x 10⁻²² J

= 13.953 x 10⁻²² / 1.6 x 10⁻¹⁹ eV .

= 8.6 x 10⁻³ eV

: An experienced spear fisherman sees a small fish swimming in a tidal pool. If the fisherman sees the fish at approximately a 40o angle (measured from vertical), he knows that he must release his spear at what angle

Answers

Answer:

He should aim below 40°

Explanation:

Because

His eyes are being deceived about the real location of the fish, because the light coming from the fish is refracting away from the normal, if traced from the vertical as it passes into the air and to his eye . so, he will perceive the fish as being shallower than it really is. So if he throws the spear which will travel in a straight line directly at where he perceives the fish to be, the spear will pass above its head so he needs to need to aim lower than 40°

Explanation:

One train is at the 20 Km position, another is at the 200Km position, both are approaching, the first with a speed of 30Kmh-1 and the second with a speed of 48 Kmh-1. If they leave at 7:12, what time do they cross? Answer: t = 2.30 H Time: 9:30 am.

Answers

Explanation:

The distance between them is 200 km − 20 km = 180 km.

The relative velocity is 30 km/h − (-48 km/h) = 78 km/h.

The time it takes is 180 km / (78 km/h) = 2.31 hours, or 2 hrs 18 min.

Therefore, the trains meet at 9:30 AM.

When stretched beyond it's elastic limit, a metal rod such as steel​

Answers

Answer:

When an elastic material is stretched, depending on the stress, it might reach a point beyond which it will no longer return to its original size and shape. This point is called the elastic limit.

When the material (such as a metal rod (e.g steel, copper)) is stretched beyond its elastic limit, Hooke's law is no longer obeyed. i.e strain is no longer directly proportional to stress.

A charged particle is projected with its initial velocity parallel to a uniform magnetic field. What is the resulting path

Answers

Answer:

The particle will continue in a straight line parallel to the field

Explanation:

If a charged particle moves parallel to a magnetic field, without cutting across the field, then there will be no force on the particle. Since there is no force on the charged particle from the magnetic field, its velocity will continue in its original path, which is parallel to the field.

g stAn experienced spear fisherman sees a small fish swimming in a tidal pool. If the fisherman sees the fish at approximately a 40o angle (measured from vertical), he knows that he must release his spear at what angle

Answers

Answer:

  θ = 28.9

Explanation:

For this exercise let's use the law of refraction

          n₁ sin θ₁ = n₂ sin θ₂

where we use index 1 for air and index 2 for water where the fish is

        sin θ₂ = n₁ / n₂ sin θ₁

in this case the air repair index is 1 and the water 1.33

we substitute

        sin θ₂ = 1 / 1.33 sin t 40

        sin θ = 0.4833

         

        θ = sin⁻¹ 0.4833

        θ = 28.9

Which of the following is not a Health-Related fitness part? Question 1 options: Body composition Power Flexibility Speed

Answers

Answer:

The correct answer is - speed.

Explanation:

Health related fitness have five major components that are muscular strength or power, endurance, body composition, cardiovascular endurance and flexibility.

All these five health related fitness helps an individual to loose weight, better sleep, enhance mood and prevents from various disease and many other beneficiary results.

Thus, the correct answer is : speed.

How does area affect the pressure?​

Answers

The smaller the area the greater the pressure, while the bigger the smaller the pressure. So they are inversely proportional

What is the wavelength of the light entering an interferometer if 402 bright fringes are counted when the movable mirror moves 0.115 mm?

Answers

Answer:

The  value is  [tex]\lambda = 572 *10^{-9} \ m[/tex]

Explanation:

From the question we are told that

    The  number of  bright fringes is  n =  402

     The  displacement of the mirror is  [tex]\delta l = 0.115 \ mm = 1.15 *10^{-4} \ m[/tex]

 

Generally the number of fringes is mathematically represented as

       [tex]n = \frac{2 * \delta l }{\lambda }[/tex]

=>    [tex]\lambda = \frac{2 * \delta l }{n }[/tex]

=>     [tex]\lambda = \frac{2 * 1.15*10^{-4} }{402 }[/tex]

=>   [tex]\lambda = 572 *10^{-9} \ m[/tex]

The coefficient of static friction between a 3.00 kg crate and the 35.0o incline is 0.300. What minimum force F must be applied perpendicularly to the incline to prevent the crate from sliding down

Answers

Answer:

So the minimum force is

32.2Newton

Explanation:

To solve for the minimum force, let us assume it to be F (N)

So

F=mgsinA

But

=>>>> coefficient of static friction x (F + mgcosA

=>3 x 9.8 x sin35 = 0.3 x (F + 3 x 9.8 x cos35)

So making F subject of formula

F + 24.0 = 56.2

F = 32.2N

What is process in which long thin strips of flexible ribbon are produced by pouring onto a flat surface?

Answers

Answer:

Tape casting

Explanation:

Tape casting is also known as knife coating. This process is used specially in the production of thin surfaces of a ceramic work.

Tape casting is also the process which which involves long thin strips of flexible ribbon being produced by pouring onto a flat surface. It is then left to dry by applying a high temperature and then ready for use.

Two particles, one with charge −7.97×10−6 C and the other with charge 6.91×10−6 C, are 0.0359 m apart. What is the magnitude of the force that one particle exerts on the other?

Answers

Answer:

-384.22N

Explanation:

From Coulomb's law;

F= Kq1q2/r^2

Where;

K= constant of Coulomb's law = 9 ×10^9 Nm^2C-2

q1 and q2 = magnitudes of the both charges

r= distance of separation

F= 9 ×10^9 × −7.97×10^−6 × 6.91×10^−6/(0.0359)^2

F= -495.65 × 10^-3/ 1.29 × 10^-3

F= -384.22N

Other Questions
Kyle wants to get rid of beetles that are in his garden, he notices in areas that in areas that have a certain type of fertilizer in the ground there are more beetles. Choose the best way Kyle can form hypothesis that could help him form an experiment to rid the beetles from his garden? Can someone check my answers? Match each description with the correct term. (may repeat some answers). Letters: a. carbohydrates b. proteins c. lipids d. nucleic acids 1. Carries genetic information: d 2. "Usually" contain ONLY carbon, oxygen and hydrogen and do not have a true monomer: c 3. Have carbon, oxygen, hydrogen AND nitrogen. (usually no phosphorus): b 4. ALWAYS contain phosphorous.: d 5. Glucose and starch are examples: a 6. insulates and cushions: c 7. "Usually" contain ONLY carbon, oxygen and hydrogen and do have a true monomer: c In Mohenjo-Daro, as new houses were built atop old houses, ____ walls were built higher so people could access the water from the higher housing. A. cityB. wellC. sewer the area of a triangle is 54 cm. if the height is 3 cm more than the base, find the length of base Which sentence is an example of formal language?A. That car is so totally sweet, and you should see how fast it goes!B. You would love to drive a Bugatti Veyron, it's fast and really comfytoo.C. Bugatti Veyrons are really fast, and I would love to have one of myown.D. The Bugatti Veyron is the fastest and most luxurious car in theworld. Solve for ay = ax2 + bx + c f(x) = 3x2 + 5x 14 Find f(-9 ) According to Merton, _________ occurs when people accept society's goals but adopt disapproved means for achieving them. Hari borrowed Rs. 126000 from a money-lender at 15% per annum simple interest,After 3 years, he paid Rs. 70700 and gave a buffalo to clear off the debt. What is thecost of the buffalo? A monopolist sells in two geographically divided markets, the East and the West. Marginal cost is constant at $50 in both markets. Demand and marginal revenue in each market are as follows:QE = 900 - 2PEMRE = 450 - QEQW = 700 - PWMRW = 700 - 2QWa. Find the profit-maximizing price and quantity in each marketb. In which market is demand more elastic? Define ratio to show its scientific meaning. Then use it in asentence as a noun. A van can travel 18 miles on each gallon of gasoline. At that rate, how many miles can the van travel on 15 gallons of gasoline? -33 miles -83 miles -120 miles -270 miles for which of the following problems would the calculation of 1.5 / 0.25 be appropriate What is the term, coefficient, constant, and factor of 1/2(base1 + base2)h? (Formula used to find area of trapezoid) Which is the correct way torewrite the following sentencefragment?After two such nights must be sotired as to be able to sleepanywhere. a bicycle is traveling at 17 mph. How many feet will it cover in 50 seconds? dont understand why I have to type a question each time when I have a picture but anyone know this?! Suppose Sora is arguing with her mother, Jane. Jane believes that Sora eats mostly candy and doesn't eat enough fruits and vegetables, but Sora claims that she eats candy, fruits, and vegetables equally often. To test Sora's claim, Jane carefully monitors Sora's eating habits for several weeks. She records the number of times that Sora eats fruits, vegetables, and candy.Jane conducts a chi-square test for goodness-of-fit to test Sora's claim. Jane's results are summarized in the table Type of food Fruits Vegetables Candy Observed 62 54 84 Test proportion 0.333 0.333 0.333 Expected 66.667 66.667 66.667 Contribution to chi-square 0.327 2.407 4.506 Chi-square statistic: 7.2400 Degrees of freedom: 2 What is the p-value for Jane's chi-square test for goodness-of-fit? Round your answer to three decimal places. A manufacturer drills a hole through the center of a metal sphere of radius R = 8. The hole has a radius r. What value of r will produce a ring whose volume is exactly half the volume of the sphere? (Round your answer to two decimal places.) Identify the number that does not belong with the other three. Explain your reasoning (24 points)