A body decelerates uniformly to a constant speed and after some time it accelerates uniformly Draw the shape of speed time graph for such a motion . Label the three sections of this graph. What is the quantity which is measured by the area occupied under speed time graph ?

Answers

Answer 1

Answer:

here I am just giving an idea of how the graph will be like ...

In the pic..

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

:)

A Body Decelerates Uniformly To A Constant Speed And After Some Time It Accelerates Uniformly Draw The

Related Questions

predict the reading of the spring balance when the wooden block is pulled on the sandpaper. Explain your answer. ​

Answers

Answer:

* if the spring force is greater than the maximum of the static friction force,  

               Fe = m (a + μ_k g)

* If the elastic force is less than or equal to the static friction force, the result is with static friction coefficient

              Fe =μ_s m g

Explanation:

For this exercise we must apply Newton's second law to the system

X axis

         Fe -fr = m a

         Fe = m a + fr

Y axis  

        N-W = 0

        N = W = mg

the roe force is given by

        fr = μ N

        fr = μ mg

we substitute

      Fe = m a + μ m g

      Ee = m (a + μ g)

Let's analyze the solution. We have several possibilities

* if the spring force is greater than the maximum of the static friction force, the system acquires an acceleration and the result is with the kinetic friction coefficient

               Fe = m (a + μ_k g)

* If the elastic force is less than or equal to the static friction force, the result is with static friction coefficient

              Fe =μ_s m g

When the hydraulic conductivity Ks = 10 mm/hr; effective matrix potential Ns = 20 mm, and rainfall intensity I = 30 mm/hr , determine the amount of runoff generated when the runoff rate reaches 15 mm/hr?( 2.7 mm or 0.21 mm or 18 mm or 0.67 mm)

Answers

Answer:

[tex]t = 0.75 \ hr = 0.75 *60 = 45 \ minutes[/tex]

Explanation:

From the question we are told that

   The  hydraulic conductivity is  [tex]Ks = 10\ mm/hr[/tex]

    The  effective matrix potential [tex]Ns = 20 \ mm[/tex]

    The  intensity of  rainfall is  [tex]I = 30 \ mm/hr[/tex]

    The runoff rate [tex]R = 15 \ mm/hr[/tex]

Generally the run off rate is mathematically represented as  

      [tex]R = (I - Ks) t[/tex]

Here t is the amount of runoff generated

=>   [tex]15 = (30 - 10) t[/tex]

=>  [tex]t = 0.75 \ hr[/tex]

converting to minutes

    [tex]t = 0.75 \ hr = 0.75 *60 = 45 \ minutes[/tex]

Water floats on a liquid called "carbon tetrachloride." The two liquids do not mix. A light ray passing from water into carbon tetrachloride has an incident angle of 45.0° and an angle of refraction of 40.1°. If the index of refraction of water is 1.33, what is the index of refraction of carbon tetrachloride?

Answers

Answer:

1.26

Explanation:

[tex]index \: of \: refraction \: = \: \ \frac{ \sin(angle \: of \: incidence) }{ \sin(angle \: of \: refraction) } [/tex]

[tex] \frac{ \sin(45.0) }{ \sin(40.1) } [/tex]

= 1.26

Refractive index is defined as the ratio of speed of light in the vacuume and in the medium.The index of refraction of carbon tetrachloride is 1.26.

Refractive index:

It is defined as the ratio of speed of light in the vacuume and in the medium.

[tex]\bold { n={\dfrac {c}{v}}}[/tex]

where

c -speed of light in vacuum

v - phase velocity of light in the medium.

It can also be calculated by the angle of refration,

[tex]\bold { n={\dfrac {sin\ i}{sin\ r}}}[/tex]

Where,

Sin i - angle of incidence = 45.0

sin r - angle of  refraction = 40.1

Put the values in the formula,

[tex]\bold { n= {\dfrac {45.0}{40.1 }}}\\\\\bold { n= 1.26}[/tex]

Thereforew, the index of refraction of carbon tetrachloride is 1.26.

To know more about index of refraction,

https://brainly.com/question/4084792

Look at the diagram below. The value of equivalent resistor is: A. 4 Ω B. 6 Ω C. 8 Ω D. 10 Ω

Answers

Answer:

R=4Ω

Explanation:

R1 and R3 are parrallel

so we have : R=R1*R2/R1+R2

R=6*3/6+3

R=18/9

R=2Ω

R2 and 2Ω are in series,so we have

R=R2+2

R=2+2

R=4Ω

Be careful of the wire size application chart you use, because many of them allow up to a ____ voltage drop over the length of the wire, which is more than is allowed in most automotive circuits. Group of answer choices

Answers

Answer: 0.1

Explanation: The wire size is very important when making decisions on the wiring of any equipment,house and other things. It has also been found that the size of the wire determines the load that can be allowed through it.

The right wire size application chart should always be considered before selecting the wiring diagram or system for any building or equipment as it can help to determine the amount of voltage that can be effectively carried through it.

If you go to a nutrition store and buy a supplement you can count on the fact that it is pure and safe because supplements are regulated controlled and inspected by the FDA

Answers

Answer:

The answer is False.

Explanation: The FDA (food and drug administration) is a regulatory agency of the United state Government, they regulate the production and distribution of food and drugs within the United States of America, ensuring that standards are met and followed.

Most of the approvals given to food and drugs by FDA are done based on random sampling of products which may not be able to capture all the defective products in a given lot or batch of supplies, which is why it very necessary to take other measures to verify the wholesomeness, authenticity etc of a given product before purchasing or making use of such products.

Answer:

false

Explanation:

got right on egd

(a) Calculate the rate of heat conduction through house walls that are 13.0 cm thick and that have an average thermal conductivity twice that of glass wool. Assume there are no windows or doors. The surface area of the walls is 120 m2 and their inside surface is at 18.0 oC, while their outside surface is at 5.0 oC. (b) How many 1-kW room heaters would be needed to balance the heat transfer due to conduction

Answers

Answer:

a. 960 W b. One 1 kW room heater

Explanation:

a. The rate of heat conduction P = kA(T₂ - T₁)/d where k = 2 × 0.040 W/m-K =  0.080 W/m-K since the thermal conductivity of glass wool is 0.040 W/m-K and that of the material is twice the thermal conductivity of glass wool, A = area of walls = 120 m², T₁ = outside surface temperature = 5.0 °C, T₂ = inside surface temperature = 18.0 °C and d = thickness of wall = 13.0 cm = 0.13 m

P = kA(T₂ - T₁)/d

= 0.080 W/m-K × 120 m²(18.0 °C - 5.0 °C)/0.13 m

= 9.6 Wm/K × 13 K/0.13 m

= 124.8 Wm/0.13 m

= 960 W

b. The number of 1 kW room heater required will be

n = rate of heat conduction/power of one room heater = 960 W/ 1 kW = 960 W/1000 W = 0.96 ≅ 1

So we need only one 1 kW room heater.

An object is to be dropped from an aeroplane so as to hit a target on the ground. If the aeroplane is travelling horizontally at 80m/s at a height of 2000m, calculate the position of the aeroplane when the object is released​

Answers

Answer:

you live it will be around 23 to 82% angle

Explanation:

just think about yourself going in the high-speed and then jumping and then just think of all know that person just jumping without being going to high speed

d. Write the symbol for the nucleus that completes each nuclear equation. (1 point each)

Answers

Answer:

Ra, 88

Ru, 44

Cr, 24

Explanation:

i

the remaining mass number is 224(228 - 4), and it's atomic number is 88(90 - 2). The element is Radium, Ra

ii

the remaining mass number is 98(98 - 0), and it's atomic number is 44(45 - 1). The element is Ruthenium, Ru

iii

The remaining mass number is 52(52 - 0), and it's atomic number is 24(23 - -1). The element is Chromium, Cr

A bullet of mass m, moving horizontally with speed u, meets a block of wood of mass M, travelling along the same line but in the opposite direction with speed ,U, and remains embedded in it. Show that the loss of kinetic energy is of the form 1/2kMm, where k is in terms of u, U, m, M and find the loss in KE when the bullet of mass 4.0g, travelling at 890ms^-1 hits a block of wood, mass 4.0kg moving at 7.0ms^-1

Answers

Answer:

Explanation:

First of all we shall calculate the velocity of composite mass . Let it be v . Applying law of conservation of momentum

mu - MU = ( m + M ) v

v = mu - MU /  ( m + M )

loss of kinetic energy

= 1/ 2 mu² + 1/2 MU² - 1/2 ( M +m ) v²

= 1/ 2 mu² + 1/2 MU² - 1/2 ( M +m ) (mu - MU)² / ( m + M )²

= 1/ 2 mu² + 1/2 MU² - 1/2  (mu - MU)² / ( m + M )

= 1/2 [ m²u² + mMu² +mMU² + m²U² - m²u² - M²U² - 2 muMU ] /  ( m + M )

=  1 / 2 [ mMu² + mMU² - 2 muMU ] /  ( m + M )

= 1 / 2mM  [ (u² + U² - 2 uU)  /  ( m + M )]

= 1/2 mM  x k

where

k =  [ (u² + U² - 2 uU)  /  ( m + M )]

Given

m = .004 kg

M = 4 kg

u = 890 ms⁻¹

U = 7 ms⁻¹

k = ( 890² + 7² - 2 x 890 x 7 ) / 4.004

= ( 792100 + 49 - 12460 ) / 4.004

= 194727.52

loss of kinetic energy

= 1/2 mM  x k

= .5 x .004 x 4 x 194727.52

= 1557.82 J .

Hi please, I Have An attachment on Waves, Just two Objective Questions Whoever Answers Will be Marked Brainliest thank you.

Answers

Answer:

The first answer is W and Z, since they appear to be a period apart. Dont know the second question. I did what I could, hope someone can answer the second.

The quantum state of a particle can be specified by giving a complete set of quantum numbers (n,l, ml,ms). How many different quantum states are possible if the principal quantum number is n=3?

Answers

Explanation:

We need to find the quantum state of a particle can be specified by giving a complete set of quantum numbers (n,l, ml,ms).

We have the principal quantum number, n = 3

The value of l = n-1

l = 0,1,2,3

The value of [tex]m_l[/tex]

[tex]m_l=-l\ \text{to}\ +l\\\\m_l=-3,-2,-1,0,1,2,3[/tex]

The value of [tex]m_s[/tex]

[tex]m_s=\dfrac{-1}{2},\dfrac{+1}{2}[/tex]

Hence, this is the required solution.










Which statement describes a property of a proton?

Answers

Answer:

They have no charge and are present in the nucleus of an atom. They have a negative charge and travel around the nucleus of an atom. They have a positive charge and travel around the nucleus of an atom

Explanation:

The electrons, which are negatively charged particles, are drawn to the protons because they have a positive electric charge. This keeps them in an orbit around the nucleus. A proton, therefore, possesses the quality of a positive charge.

What is proton?

The proton is a stable subatomic particle with a rest mass of 1.67262 1027 kg, or 1,836 times the mass of an electron, with a positive charge that is equal to one electron's charge in magnitude.

All atomic nuclei, except for the hydrogen nucleus, are composed of protons and neutrons, which are electrically neutral particles (which consist of a single proton). A given chemical element's nuclei all contain the same number of protons.

They exist in the atom's nucleus and are not charged. They move around the atomic nucleus and have a negative charge. Likewise, they move about an atom's nucleus and have a positive charge.

Typically, a proton is made up of three quarks, which are tiny subatomic particles.

The protons are the electrically charged atom-nucleus particles that help hold the nucleus of an atom together.

To know more about Proton:

https://brainly.com/question/14604678

#SPJ6

The Coulomb force between two charges q1 and q2 at separation r in air is F. If half of the separation is filled with medium of dielectric constant 9, what will be the value of new coulomb force?

Answers

Answer:

The new Coulomb force is q₁q₂/9πε₀r²

Explanation

The coulomb force between the two charges q₁ and q₂ at a distance r in air is given by F = q₁q₂/4πε₀r².

Now, let us assume the material of dielectric constant κ = 9 is placed between them on the side of the q₁ charge. The value of its effective charge is now q₃ = q₁/κ at a distance of d = r/2 from the q₂ charge.

Since we have air between q₂ and q₃, the coulomb force between them is

F' = q₂q₃/4πε₀d²

= q₂(q₁/κ)/4πε₀(r/2)²

=  4q₂q₁/κ4πε₀r²

= 4/κ(q₂q₁/4πε₀r²)

= 4/9 × (q₂q₁/4πε₀r²)

= q₁q₂/9πε₀r²

So, the new Coulomb force is q₁q₂/9πε₀r²

What is the density of a 15 kg block of wood with a volume of 1.5 cubic meters;
d=m/v?
A)10
B)150
C)20

Answers

Answer: A) 10

Explanation:

I plugged in the numbers into a calculator.

Ex:

The formula for density is d=m/v so I divided 15 by 1.5 and it gave me 10.

Suppose that you have been chosen for a space mission to a distant planet. Due to the length of time you'll be away from Earth you must carry out physical activity every day. On earth your, strength and conditioning trainer has determined you must do 90 minutes of exercise every day. If the vehicle is travelling at 0.80 c how much time, according to a timer on the space vehicle should you be active to meet your physical activity requirement?

Answers

Answer:

I should be active for 15 hours to meet the physical activity requirement.

Explanation:

Since time dilates in moving objects, we use the formula t = t₀/√(1 - β²) where t = time in space vehicle, t₀ = time on earth = 9 hours and β = v/c where v = speed of space vehicle = 0.8c.

So, t = t₀/√(1 - β²)

t = 9/√(1 - (v/c)²)

= 9/√(1 - (0.8c/c)²)

= 9/√(1 - (0.8)²)

= 9/√(1 - (0.64)

= 9/√0.36

= 9/0.6

= 15 hr

So, according to a timer on the space vehicle, I should be active for 15 hours to meet the physical activity requirement.

1
A force 2ON acts at a distance of 2n from a pivot.
what is the moment
force about the pivot

Answers

Answer:

[tex]\large \boxed{\mathrm{40 \ Nm}}[/tex]

Explanation:

[tex]\sf Moment \ (Nm) = Force \ (N) \times Distance \ from \ pivot \ (m)[/tex]

[tex]M=20 \times 2[/tex]

[tex]M=40[/tex]

What evidence supported the inflation theory? (the big bang theory one pls)

Answers

Answer:

The comic microwave background

Explanation:

The cosmic microwave background is said to be part of the remnant of the Big Bang that happened which resulted in the formation of the universe. This is because the universe was thought to be a very hot place which resulted in the expansion of it.

The heat was said to have resulted in the cooling of gases present and the remnant of the heat is what formed the radiation called the cosmic wave background.

Which value would complete the last cell?

(1 point)

3.0

100.0

25.0

4.0

Answers

Answer:

4.0

Explanation:

The following data were obtained from the question:

Force (F) = 20 N

Mass (m) = 5 kg

Acceleration (a) =.?

Force is simply defined as the product of mass and acceleration. Mathematically, it is expressed as

Force (F) = mass (m) x acceleration (a)

F = ma

With the above formula, we can obtain th acceleration of the body as follow:

Force (F) = 20 N

Mass (m) = 5 kg

Acceleration (a) =.?

F = ma

20 = 5 x a

Divide both side by 5

a = 20/5

a = 4 m/s²

Therefore, the value that will complete the last cell in the question above is 4.

How has the games changed over the years?

Answers

Answer:

The definition of the particular circumstance consists provided in the subsection on the interpretation elsewhere here.

Explanation:

Throughout the past 10-20 years, the computer games industry is experiencing some insane shifts. Several of the adjustments are responsible for the observed market developments, while others are related to just the tech boom as well as technological development across the global economy. Here is another glimpse at some instances of how and why the gaming industry has evolved in just the last few decades.

A physical inventory on December 31 shows 3500 units on hand. Bonita sells the units for $15 each. The company has an effective tax rate of 20%. Bonita uses the periodic inventory method. The weighted-average cost per unit is

Answers

The answer would be 10,500 be cause you multiply 3500 times 15 and you get 52500 the you multiply that by .20 and you get 10,500.

What is the difference between cytology and histology

Answers

Explanation:

what is the difference between cytology and histology

Histology involves the study of tissue and Cytology involves the study of cells, both of which are derived from various organs of the human body. The Histology laboratory is responsible for the preparation of tissue for diagnosis by Pathologists.

why do i need physics for zoology

Answers

Answer:

No, buddy physics is not important for zoology you should take biology ok...

Hope you like it please thank me and follow me

Compared to other planets in the solar system, Earth has a wider range of temperature conditions, which contributes to Earth's ability to support life.

Answers

Answer:

Goldilocks zone of habitability.

Explanation:

Earth is the third planet in the solar system next to venus and is followed by mars as the red planet.  Due to the nature and characteristics of the earth its called the blue planet as it supports life and this is possible due to the presence of the adequate temperatures and pressure conditions that were created some 4 billion years ago. The earth has an adequate amount of temperature that is considered to be sufficient for life on the planet to exist and is called the goldilocks zone. As the earth is neither too far nor too close to the sun.

A disk-shaped dough is initially spinning at 2 rotations per second (1 rotation = 360°). As time goes on, it slowly deforms, and is now spinning at a different angular speed. The dough changed radius from 16 cm to 17 cm, and its mass remained constant throughout. What is its final angular speed in degrees/s?

Answers

Answer:

10.44° per sec

Explanation:

Initial angular speed N = 2 rotations per minute

converting to rad/s ω = 2πN/60 = (2 x 3.142 x 2)/60 = 0.21 rad/s

the initial radius of the disk = 16 cm = 0.16 m

final radius = 17 cm = 0.17 m

Angular momentum = [tex]I[/tex]ω

where [tex]I[/tex] = rotational inertia = mass x [tex]radius^{2}[/tex]

ω = angular speed

For the initial case

[tex]I[/tex] = m x [tex]0.16^{2}[/tex] = 0.0256m

Angular momentum = 0.0256m x 0.21 = 0.0054m

For second case

[tex]I[/tex] = m x [tex]0.17^{2}[/tex] = 0.0289m

Angular momentum = 0.0289m x ω = 0.0289mω

For conservation of rotational momentum, initial angular momentum must be equal to the final angular momentum

0.0054m = 0.0289mω

m cancels out, we have

0.0054 = 0.0289ω

ω = 0.187 rad/s

converting back to rpm, we have

N = 0.187/2π = 0.029 rotations per sec

0.029 x 360 = 10.44° per sec

A uniform horizontal beam with a length of 8m and weigh of 200N is attached to a wall by a pin connection ..Its far end is supported by the cable tha makes an angle of 53.0 with the beam. If 600N person stands 2m from the wall , find the tension in the cable as well as the magnitude and direction of the force exerted by the wall on the beam.

Answers

Answer:

The tension in the cable is approximately 1440.0 N

Explanation:

The length of the beam = 8 m

The weight of the beam = 200 N

The angle made by the beam support cable = 53°

The weight of the person = 600 N

The position where the person stands = 2 m

The forces acting are the weight of the cable acting at the center of the beam and the weight of the person acting at 2 m from the wall

Therefore, we have;

Sum of moments = 0, which gives;

2000 × 4 + 2 × 600 - 8 × [tex]T_y[/tex] = 0

2000 × 4 + 2 × 600  = 8 × [tex]T_y[/tex]

[tex]T_y[/tex] = 9200/8 = 1150 N

The tension in the cable, T = The component of the force in the cable

The vertical component of the tension  [tex]T_y[/tex] = T×sin(53)

Therefore;

T =  [tex]T_y[/tex]/(sin(53)) = 1150/(sin(53 degrees)) = 1439.96 ≈ 1440 N

The tension in the cable, T is approximately 1440 N.

A round steel plate with a diameter of 20 cm is supplied with heat in such a way that its temperature changes from 22 ° C to 150 ° C. How much does its area increase?

Answers

Answer:

1.05×10⁻⁴ m²

Explanation:

ΔA = 2 A₀ α ΔT,

where ΔA is the change in area,

A₀ is the initial area,

α is the linear expansion coefficient,

and ΔT is the change in temperature.

A₀ = π (0.20 m / 2)² = 0.0314 m².

For steel, α = 13×10⁻⁶ /°C.

ΔT = 150°C − 22°C = 128°C.

ΔA = 2 (0.0314 m²) (13×10⁻⁶ /°C) (128°C)

ΔA = 1.05×10⁻⁴ m²

Every time Dylan takes his dog Frisbee for a walk, the dog always pulls hard on the leash. This nearly pulls Dylan's arm out of its socket and Frisbee almost chokes himself! Explain these effects in terms of Newton's third law.

Answers

Answer:

See explanation below for Newton's third law of "action generates reaction" for this example

Explanation:

From Newton's third law: "For every action there is an equal and opposite reaction."

Frisbee is pulling on the leash with force F which is felt by Dylan as a tension force in the leash trying to pull his arm out of its socket, and Frisbee feels an equal and opposite tension force from the leash chocking him.

You put a piece of ice into a glass of lemonade at room temperature. Which statements explains the heat flow in this scenario? A. Heat flows in both directions. B. Heat flows from the ice to the lemonade. C. Heat flows from the lemonade to the ice. D. Heat flows from the ice to the lemonade to the glass.

Answers

Answer:

C. Heat flows from lemonade to the ice

Explanation:

Transfer of heat from the drink to the ice is what melts the ice and cools the drink.

Select the correct answer. Ben has $10 to spend on dinner. He can have a pizza delivered, drive to a burger place, or go to the grocery store to get ingredients for a fresh salad. In the end, he goes with the salad. If each meal would have cost him the same amount, what is Ben’s incentive for choosing salad? A. to eat a healthier meal B. to help the local economy C. to save gas D. to save on his telephone bill

Answers

Answer:

A. to eat a healthier meal

Explanation:

The answer would be A, to eat a healthier meal. Eating a serving of mixed greens can enable Ben to shed pounds in the event that it encourages you to diminish your aggregate calorie admission. Pick filling fixings with the goal that you are not as ravenous and eat less, and keep your plates of mixed greens low in calories so they give fewer calories than the feast or tidbit that they are supplanting.

Other Questions
(-3)+(-5)What are the signs and places a jar had 6 red marbles and 4 blue marbles. you randomly choose two marbles. find the probability that both marbles are red. Points A, B, and C are collinear. Point B is between A and C. Find the length indicated. Find BC if AB=2x-12, AC=14, and BC=x+2 help me plz i wnt help plz i want help 5. Choose the two positives of the Columbian exchangeNative Americans spread diseases to European explorersEuropeans introduced horses, livestock, guns and the wheel to native societyEuropeans unknowingly brought many deadly diseases to the New WorldEuropeans brought back native crops (potato, corn, beans, etc) to Europe leading to better nutrition Can someone PLEASE help with this question? thank you White says, We live in a world where success is defined by income. Do you agree with this statement? Discuss examples in your life that support or negate this idea. What two mountain ranges are represented by the areas labeled C and D on the map above? A. the Arakan Yoma and the Annamese Cordillera B. the Himalayas and the Pamirs C. the Ural and the Sayan D. the Sierra Madre and the Zagros Please select the best answer from the choices provided A B C D Patios can be made by mixing cubic meters of ash, stone, and wood chips in the ratio 5:7:3. How much stone is needed to make 45 cubic meters of patio? what is the number if 4 is subtracted from the sum of one fourth of 5 times of 8 and 10 Explain the role and function of the committees of correspondence. HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Jamie was participating in a market research study regarding computers when he was presented with 24 different computers that varied on four criteria. He was asked to rank all 24 descriptions in terms of his preference for those combinations of features. Which approach to assess the relative importance Jamie places on evaluative criteria was this research using? Jessie and Paul have worked in the same office at DEF Insurance LLC for 6 years. Jessie has always taken extra care to follow the office norms and ensure that everyone has a happy and harmonious working experience. Paul has been very driven during his years at DEF Insurance, and though he started as an insurance agent, he has since been promoted to the agency manager and proudly displays all of his awards on the wall of his new office. According to Learned Needs Theory, Jessie most likely has a high: Group of answer choices Find interval of increase and decrease of f(x) = 8 sin(x) + cot(x), x The following information is for the standard and actual costs for the Happy Corporation: Enter favorable variances as negative numbers. Standard Costs: Budgeted units of production - 16,000 [80% (or normal) capacity] Standard labor hours per unit - 4 Standard labor rate - $26 per hour Standard material per unit - 8 lbs. Standard material cost - $12 per pound Standard variable overhead rate - $15 per labor hour Budgeted fixed overhead - $640,000 Fixed overhead rate is based on budgeted labor hours at 80% (or normal) capacity.Actual Cost:Actual production - 16,500 unitsActual fixed overhead - $640,000Actual variable overhead - $1,000,000Actual labor - 65,000 hours, total labor costs $1,700,000Actual material purchased and used - 130,000 lbs, total material cost $1,600,000Actual variable overhead - $1,000,000Determine the Quantity Variancea. 24,000 unfavorableb. 24,000 favorablec. 12,000 unfavorabled. 12,000 favorable If mowing burns average $115 over 20 minutes how many calories are you burning in one hour Find all real zeros of the function.g(x) = 2x (x - 5)2(x 9)?If there is more than one answer, separate them with commas. zero(s): Atoms contain positive and negative charges. Why is the overall charge on an atom neutral?A. Atoms contain the same amount of protons and electrons, and their charges cancel out.B. The nucleus of an atom contains neutrons, which keep the positive and negative charges balanced.C. Atoms are all negatively charged because electrons are on the outside of the atom.D. Atoms contain the same amount protons and neutrons, and their charges cancel out. Which statements about command economic systems are false? Select all that apply.(Multiple choice btw)Prices are set by the government.Supply and demand are the basis for economic decisions.People's jobs are chosen by the government.Businesses are driven by profit.