a machine
of efficiency of 70% is used to raise
a body of
mass 80 kg through
a vertical distance of 3m in
40 seconds. Calculate the power input. (Take g = 10 m/s²)​

Answers

Answer 1

Answer:

Power_input = 85.71 [W]

Explanation:

To be able to solve this problem we must first find the work done. Work is defined as the product of force by distance.

[tex]W = F*d[/tex]

where:

W = work [J] (units of Joules)

F = force [N] (units of Newton)

d = distance [m]

We need to bear in mind that the force can be calculated by multiplying the mass by the gravity acceleration.

Now replacing:

[tex]W = (80*10)*3\\W = 2400 [J][/tex]

Power is defined as the work done over a certain time. In this way by means of the following formula, we can calculate the required power.

[tex]P=\frac{W}{t}[/tex]

where:

P = power [W] (units of watts)

W = work [J]

t = time = 40 [s]

[tex]P = 2400/40\\P = 60 [W][/tex]

The calculated power is the required power. Now as we have the efficiency of the machine, we can calculate the power that is introduced, to be able to do that work.

[tex]Effic=0.7\\Effic=P_{required}/P_{introduced}\\P_{introduced}=60/0.7\\P_{introduced}=85.71[W][/tex]


Related Questions

HELP ASAP!! i’ll mark you the brainliest!!

Answers

Answer:

yes

Explanation:

What is food called when it enters the pharynx?

A.Bile
B.bolus
C. Food
D. Feces

Answers

Answer:

its food this was easy

CUP 6. A wire has a diameter of 0.032 inches. The AWG rating of this wire is most likely to be O A. 20 O B. 14. O C. 12. O D. 18.​

Answers

Answer:

A. 20

Explanation:

The AWG rating of the wire can be determined by applying the formula;

[tex]d_{i}[/tex] = 0.005 x [tex]92^{\frac{(36 - s)}{39}} }[/tex]

where [tex]d_{i}[/tex] is the diameter of wire in inches, and s is the diameter of wire in AWG.

Given that [tex]d_{i}[/tex] = 0.032 inches, then;

0.032 = 0.005 x [tex]92^{\frac{(36 - s)}{39}} }[/tex]

[tex]\frac{0.032}{0.005}[/tex] =  [tex]92^{\frac{(36 - s)}{39}} }[/tex]

6.4 = [tex]92^{\frac{(36 - s)}{39}} }[/tex]

Find the log of both sides to have,

log 6.4 = log [tex]92^{\frac{(36 - s)}{39}} }[/tex]

log 6.4 = [tex](\frac{36 -s}{39})[/tex] log 92

[tex]\frac{log 6.4}{log92}[/tex] = [tex](\frac{36 -s}{39})[/tex]

0.410523 = [tex](\frac{36 -s}{39})[/tex]

36 - s = 0.410523 x 39

         = 16.0104

⇒ s = 36 - 16.0104

      = 19.9896

s = 20

Therefore, the AWG of the wire is 20.

an unladen swallow flies 5 m/s how far has the bird traveled after 1 minute?

Answers

Answer: 300m

1 minute = 60s

the unladen swallow can fly: 60.5 = 300 (m)

Explanation:

Flying 5 m/s is the same as 300 m/minute. Therefore, it is 300 meters.

What effect does atmospheric pressure have on density?

Answers

Answer:sometimes it commits to how it will happen

Explanation:

Answer:

Atmospheric pressure increases density

Explanation:

Atmospheric pressure decreases the volume of space, since volume is inversely proportional to density, density will increase.

A person pushing a bin with 45 N of force slides the 3 kg plastic bin on a rough surface with friction. The plastic bin is moving with a constant velocity. What is the net force acting on the box?

Answers

Answer:

F = 0

Explanation:

Given that,

Force acting to push a bin = 45 N

Mass of the plastic bin, m = 3 kg

The plastic bin is moving with a constant velocity.

We need to find the net force acting on the box. Constant velocity means the change in velocity is equal to 0. It means acceleration will be 0.

As a result, the force acting on the box is equal to 0.

An object whose specific gravity is 0.850 is placed in water. What fraction of the object is below the surface of the water?

Answers

Answer:

The fraction of the object that is below the surface of the water is ¹⁷/₂₀

Explanation:

Given;

specific gravity of the object, γ = 0.850

Specific gravity is given as;

[tex]specific \ gravity = \frac{density \ of the \ object}{density \ of \ water}\\\\0.85= \frac{density \ of the \ object}{1000 \ kg/m^3} \\\\density \ of the \ object = 850 \ kg/m^3[/tex]

Fraction of the object's weight below the surface of water is calculated as;

[tex]= \frac{850}{1000} \ \times\ 100\%\\\\= 85 \% \\\\= \frac{17}{20}[/tex]

Therefore, the fraction of the object that is below the surface of the water is ¹⁷/₂₀

A satellite orbits the Earth (mass = 5.98 x 1024 kg) once every = 43200 s. At what radius does the satellite orbit?

Answers

Answer:

26621 km

Explanation:

We are given;

Mass: m = 5.98 x 10^(24) kg

Period; T = 43200 s

Formula for The velocity(v) of the satellite is:

v = 2πR/T

Where R is the radius

Formula for centripetal acceleration is;

a_c = v²/R

Thus; a_c = (2πR/T)²/R = 4π²R/T²

Formula for gravitational acceleration is:

a_g = Gm/R²

Where G is gravitational constant = 6.674 × 10^(-11) m³/kg.s²

Now the centripetal acceleration of the satellite is caused by its gravitational acceleration. Thus;

Centripetal acceleration = gravitational acceleration.

Thus;

4π²R/T² = Gm/R²

Making R the subject gives;

R = ∛(GmT²/4π²)

Plugging in the relevant values;

R = ∛((6.674 × 10^(-11) × 5.98 x 10^(24) × 43200²)/(4 × π²))

R = 26.621 × 10^(6) m

Converting to km, we have;

R = 26621 km

Answer:

2.66 *10^7

Explanation:

Sorry I don't know the process if you were interested in that :/

Mark all the units for speed

Answers

Answer:

Speed. I am speed.

Explanation:

The FitnessGram Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal. A single lap should be completed each time you hear this sound. Remember to run in a straight line, and run as long as possible.

Numerical Problems
A bus covers a distance of 600 metres in 30 seconds. Calculate the speed of
the bus.​

Answers

Answer:

20 m/s.

Explanation:

From the question given above, the following data were obtained:

Distance travelled = 600 m

Time taken = 30 s

Speed =?

Speed can be defined as the distance travelled per unit time. Mathematically, it is expressed as:

Speed = Distance /time

With the above formula, we can easily calculate the speed of the bus as follow:

Distance travelled = 600 m

Time taken = 30 s

Speed =?

Speed = Distance /time

Speed = 600 / 30

Speed = 20 m/s

Therefore, the speed of the bus is 20 m/s.

In the formulas for latent heat of fusion and latent heat of vaporization, what does Q represent?

Answers

Answer:

Q is the amount of energy released or absorbed during the change of phase of the substance (in kJ or in BTU), m is the mass of the substance (in kg or in lb), and. L is the specific latent heat for a particular substance (kJ kg−1 or in BTU lb−1), either Lf for fusion, or Lv for vaporization.

I hope this helps∪ω∪

Answer:

A

Explanation:

A block that slides on a rough surface slows down and eventually stops. The reverse process never occurs. That is, a block at rest never begins to move and accelerate on a rough surface without the action of an external agent. The second situation is forbidden because it would violate:_________.
a) conservation of total energy
b) conservation of momentum
c) the first law of thermodynamics
d) the second law of thermodynamics
e) both the first and second law of thermodynamics
Gracias.

Answers

Answer:

d) the second law of thermodynamics

Explanation:

Here we take an example

The entropy represents a measurement of the energy dispersal in the system. Also, the campfire would an entropy example. The burning of the solid wood and then it became the ash, smoke and gases this all would be spread the energy to the outward as compared to the solid fuel

Therefore as per the given statement, the correct option is d.

giving brainiest to correct answer.
Imagine a 0.2 kg ball moving at 5 m/s colliding with a 0.3 kg ball moving at 2 m/s in the same direction. After the collision the 0.2 kg green ball stops moving and the 0.3 kg purple ball continues moving in the same direction.
giving brainiest to correct answer.

Answers

Answer:

[tex]5.33\ m/s[/tex]

Explanation:

[tex]We\ know\ that,\\Momentum=Mass*Velocity\\p=mv\\Hence,\\Lets\ first\ consider\ the\ case\ of\ the\ two\ balls\ 'Before\ Collision':\\\\Mass\ of\ the\ green\ ball=0.2\ kg\\Initial\ Velocity\ of\ the\ green\ ball=5\ m/s\\Initial\ Momentum\ of\ the\ green\ ball=5*0.2=1\ kg\ m/s\\\\Mass\ of\ the\ pink\ ball=0.3\ kg\\Initial\ Velocity\ of\ the\ pink\ ball=2\ m/s\\Initial\ Momentum\ of\ the\ pink\ ball=0.3*2=0.6\ kg\ m/s\\\\Total\ momentum\ of\ both\ the\ balls\ 'Before\ Collision'=1+0.6=1.6\ kg\ m/s[/tex]

[tex]Hence,\\Lets\ now\ consider\ the\ case\ of\ the\ two\ balls\ 'After\ Collision':\\\\Mass\ of\ the\ green\ ball=0.2\ kg\\Final\ Velocity\ of\ the\ green\ ball=0\ m/s\\Final\ Momentum\ of\ the\ green\ ball=0\ kg\ m/s\\\\Mass\ of\ the\ pink\ ball=0.3\ kg\\Final\ Velocity\ of\ the\ pink\ ball=v\ m/s\\Final\ Momentum\ of\ the\ pink\ ball=0.3*v=0.3v\ kg\ m/s\\\\Total\ momentum\ of\ both\ the\ balls\ 'After\ Collision'=0+0.3v=0.3v\ kg\ m/s[/tex]

[tex]As\ we\ know\ that,\\Through\ the\ law\ of\ conservation\ of\ momentum,\\In\ an\ isolated\ system:\\Total\ Momentum\ Before\ Collision=Total\ Momentum\ After\ Collision\\Hence,\\1.6=0.3v\\v=\frac{1.6}{0.3}=5.33\ m/s[/tex]

Just do the attachment

Answers

Answer: your answer is B I know that's what you picked but I believe it is correct! look below...

Explanation: A solution is made when one substance called the solute "dissolves" into another substance called the solvent. Dissolving is when the solute breaks up from a larger crystal of molecules into much smaller groups or individual molecules.

In order to form a solution, the solute must be surrounded, or solvated, by the solvent. Solutes successfully dissolve into solvents when solute-solvent bonds are stronger than either solute-solute bonds or solvent-solvent bonds.

BRAINLIEST?

The answer to that question is B.

A solid ball is rolling along a horizontal surface at 3.7 m/s when it encounters an upward
incline. If it rolls without slipping up the incline, what maximum height will it reach?

Answers

Answer:

h = 0.697 [m]  

Explanation:

To solve this problem we must use the energy conservation theorem, where it tells us that kinetic energy is converted to potential energy or vice versa.

[tex]E_{kinet}=E_{pot}[/tex]

where:

Ekinet = kinetic energy [J]

Epot = potential energy [J]

[tex]\frac{1}{2}*m*v^{2}=m*g*h\\0.5*(3.7)^{2} =9.81*h\\h =(6.845)/9.81\\h = 0.697 [m][/tex]

g During the contraction of the heart, 65 cm3 blood is ejected from the left ventricle into the aorta with a velocity of approximately 98 cm/s. The blood volume traverses the aortic arch, exiting with the same speed but opposite direction. Assume the mass density of the blood is 1060 kg/m3 blood, the aortic arch remains stationary, and that the heart rate is 61 bpm. What is the average force exerted by the blood on the wall of the aorta.

Answers

Answer:

The force is [tex]F = 0.1441 \ N[/tex]

Explanation:

From the question we are told that

   The volume of blood ejected is  [tex]V_b = 65cm^3 = 65*10^{-6} \ m^3[/tex]

    The velocity of the ejected blood is  [tex]v = 98 cm/ s = 0.98 \ m/s[/tex]

    The mass density of blood is  [tex]\rho = 1060 \ kg/m^3[/tex]

    The heart rate is  [tex]R = 61 bpm(beats \ per \ miunite) = \frac{61}{60} = 1.0667\ bps[/tex]

Generally the average force exerted is mathematically represented as

     [tex]F = 2 * \rho * V_b * R * v[/tex]

=>   [tex]F = 2 * 1060 * (65*10^{-6}) *1.0667 * 0.98[/tex]

=>   [tex]F = 0.1441 \ N[/tex]    

A little girl is walking, swinging her arms through a 20° angle every 0.25 s. The length of each arm is 30 cm. Assuming that the arms move with constant speed during each swing, find the force that the blood vessel in her arm would exert on a 1-gram drop of blood from the end of the arm if her arm were not swinging.

Answers

Answer:

The force will be "[tex]9.8\times 10^{-3} \ N[/tex]".

Explanation:

The given values are:

Mass,

m = 1 gram

Angle,

Ф = 20°

As we know,

⇒ [tex]F=mg[/tex]

On substituting the given values in the above expression, we get

⇒     [tex]=(1.0\times 10^{-3})(9.8)[/tex]

⇒     [tex]=9.8\times 10^{-3} \ N[/tex]

Helppppp meeee plssss ASAP
Suppose the atoms of two different nonmetal elements bonded. What type of
substance would most likely form?
A. A metalloid
B. An ionic compound
C. A covalent compound
D. A third element

Answers

Answer:

C

Explanation:

covalent. Hope that helps!

Which of the following is true for valence electrons?
Valence electrons are always located in the outer most energy level.
Valence electrons are found only in radioactive isotopes.
Valence electrons are always located in the innermost energy level
Valence electrons are found only in negatively charged ions.

Answers

Answer:

Valence electrons are always located in the outer most energy level.

Explanation:

Valence electrons are the ones that are involved in chemical bonds. In order to take part in a chemical bonding, the outermost/valence electron needs to be involved. Thus, the answer is Valence electrons are always located in the outer most energy level.

in which part of the circulatory system can the exchange of gases and nutrients take place?

Answers

Exchange of gases, nutrients, and waste between blood and tissue occurs in the capillaries

a steel girder weighting 700 lb is hoisted from gund level to the roof of a 70-ft building using a chain that weighs 4lb/running foot. Find the work done

Answers

Answer:

66.475kJ

Explanation:

Work done is the product of the force and perpendicular distance in direction of the force.

Work done = Force × distance

Given

Weight = 700lb

Distance = 70ft

1lb force = 4.448N

700lb force = 700(4.448) = 3113.6N

Distance = 70(0.305) = 21.35m

Work done = 3113.6×21.35

Work done ≈ 66,475Joules

Work done = 66.475kJ

Use the following information to answer questions 4 and 5:
A rock is launched vertically into the air at a velocity of 14.75 m/s.
4. Toby claims that the rock must come to rest before it can fall back towards the ground. Is Toby
correct?
A. Toby is correct because the rock is experiencing a negative acceleration, causing its negative
velocity to increase until the rock reaches a velocity of O m/s before becoming positive.
B. Toby is correct because the rock is experiencing a negative acceleration, causing its positive
velocity to decrease until the rock reaches a velocity of O m/s before becoming negative.
C. Toby is incorrect because the rock is experiencing a positive acceleration, causing its positive
velocity to increase in magnitude.
D. Toby is incorrect because the rock is experiencing a negative acceleration, causing its positive
velocity to increase in magnitude.
5. Calculate the time it takes for the rock to reach its maximum height.
A. 1.50 seconds
B. 2.47 seconds
C. 3.00 seconds
D. 4.94 seconds

Answers

Question 4

B. Toby is correct because the rock is experiencing a negative acceleration, causing its positive velocity to decrease until the rock reaches a velocity of O m/s before becoming negative.

Question 5

At the maximum height, velocity is 0, so:

v = v₀ - gt

0 = 14.75 - 9.8t

t = 14.75/9.8

t = 1.5 s    (OPTION A)

4). In the given situation, the assertion that could be made regarding Toby would be:

B). Toby is correct because the rock is experiencing a negative acceleration, causing its positive velocity to decrease until the rock reaches a velocity of O m/s before becoming negative.

5). The time that would be taken by the rock to attain its greatest height would be:

1.5 second

4). Tobby correctly states as rock would be undergoing a -ve acceleration which leads its +ve velocity to fall by the time rock attains the velocity of 0 m/s.

Thus, option B is the correct answer.

5). Given that,

Initial velocity([tex]v_{0}[/tex]) = 14.75 m/s

As we know,

Velocity remains 0 m/s at the greatest height,

So,

Velocity(v) [tex]= v_{0} - gt[/tex]

where

[tex]0 = 14.75 - 9.8t[/tex]

[tex]t = 14.75/9.8[/tex]

 ∵ [tex]t = 1.5 s[/tex]

Learn more about "Velocity" here:

brainly.com/question/18084516

Assume that, when we walk, in addition to a fluctuating vertical force, we exert a periodic lateral force of amplitude 25 NN at a frequency of about 1 HzHz. Given that the mass of the bridge is about 2000 kgkg per linear meter, how many people were walking along the 144-mm-long central span of the bridge at one time, when an oscillation amplitude of 75 mmmm was observed in that section of the bridge

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

Explanation:

From the question we are told

   The amplitude of the lateral  force is  [tex]F = 25 \ N[/tex]

   The frequency is   [tex]f = 1 \ Hz[/tex]

   The mass of the bridge per unit length is  [tex]\mu = 2000 \ kg /m[/tex]

    The length of the central span is  [tex]d = 144 m[/tex]

     The oscillation amplitude of the section  considered at the time considered is  [tex]A = 75 \ mm = 0.075 \ m[/tex]

      The time taken for the undriven oscillation to decay to [tex]\frac{1}{e}[/tex]  of its original value is  t = 6T

Generally the mass of the section considered is mathematically represented as

            [tex]m = \mu * d[/tex]

=>        [tex]m = 2000 * 144[/tex]

=>        [tex]m = 288000 \ kg[/tex]

Generally the oscillation amplitude of the section after a  time period  t is mathematically represented as

                 [tex]A(t) = A_o e^{-\frac{bt}{2m} }[/tex]

Here b is the damping constant and the [tex]A_o[/tex] is the amplitude of the section when it was undriven

So from the question  

               [tex]\frac{A_o}{e} = A_o e^{-\frac{b6T}{2m} }[/tex]

=>            [tex]\frac{1}{e} =e^{-\frac{b6T}{2m} }[/tex]

=>          [tex]e^{-1} =e^{-\frac{b6T}{2m} }[/tex]

=>           [tex]-\frac{3T b}{m} = -1[/tex]

=>         [tex]b = \frac{m}{3T}[/tex]

Generally the amplitude of the section considered is mathematically represented as

           [tex]A = \frac{n * F }{ b * 2 \pi }[/tex]

=>       [tex]A = \frac{n * F }{ \frac{m}{3T} * 2 \pi }[/tex]

=>       [tex]n = A * \frac{m}{3} * \frac{2\pi}{25}[/tex]

=>       [tex]n = 0.075 * \frac{288000}{3} * \frac{2* 3.142 }{25}[/tex]

=>       [tex]n = 1810 \ people[/tex]

Which statement accurately describes thermal energy?


Answers

Answer:

here are the options.

Answer:

the energy that is associated with temperature or D

Explanation:

Hope this helps

If a sinusoidal electromagnetic wave with intensity 18 W/m2 has an electric field of amplitude E, then a 36 W/m2 wave of the same wavelength will have an electric field of amplitude?
a. 4E
b. 2 underroot 2E
c. 2E
d. underroot E

Answers

Answer:

The  correct option is D

Explanation:

From the question we are told that

  The intensity of the first  electromagnetic wave is  [tex]I = 18 \ W/m^2[/tex]

  The amplitude of the electric field is  [tex]E_{max}_1 =A[/tex]

   The intensity of the second electromagnetic wave is  [tex]I = 36 \ W/m^2[/tex]

Generally the an electromagnetic wave intensity is mathematically represented as

       [tex]I = \frac{1}{2} * \epsilon_o * c * E_{max}^2[/tex]

Looking at this equation we see that

     [tex]I \ \ \alpha \ \ E^2_{max}[/tex]

=>  [tex]\frac{I_1}{I_2} = [ \frac{ E_{max}_1}{ E_{max}_2} ] ^2[/tex]

=>   [tex]E_{max}_2 = \sqrt{\frac{x}{y} } * E_{max}_1[/tex]

=>  [tex]E_{max}_2 = \sqrt{\frac{36}{18} } * E[/tex]        

=>  [tex]E_{max}_2 = \sqrt{2 } E[/tex]        

Look at this model of an atom. Where are the electrons located and how many are there?

Answers

Answer:

The electrons are on the outer shell, there are 10 of them.

Explanation:

There are two in the inner shell and eight in the outer shell, giving us a total of 10 electrons

The two images show side views of ocean waves. How are the two sets of waves different?

Answers

Where are the waves?

Suppose three forces are acting on a model rocket launching into the air. The force of gravity is 1.2 N acting downward. The rocket engine has a force of 12.3 N acting at an angle of 65⁰ above the horizontal to the right. The wind pushes the rocket with a force of 2.5 N to the left. Find the magnitude and direction of the resultant force on the rocket.

Please answer!!! Offering 50 points for answer and explanation

Answers

Answer:

can you include a picture

Decompose the forces acting on the rocket in horizontal and vertical components.

• net horizontal force:

F = (12.3 N) cos(65°) - 2.5 N ≈ 2.7 N

(notice we're taking "to the right" to be the positive direction)

• net vertical force:

F = (12.3 N) sin(65°) - 1.2 N ≈ 9.9 N

The resultant force then has magnitude

√((2.7 N)² + (9.9 N)²) ≈ 10.3 N

Since the horizontal and vertical components of the resultant are both positive, it points at an angle between 0° and 90° from the positive horizontal, so that

tan(θ) ≈ (9.9 N) / (2.7 N) ≈ 3.69

===>   θ ≈ arctan(3.69) ≈ 75°

two asteroids crashed the crash caused both asteroids to change speeds scientist want to use the change

Answers

Answer:

The force each one experienced

Explanation:

Hope this helps :)

If two ___ forces are applied to an object in opposite directions, the object does not move, or moves at a ___ , this means the forces are ___. If to ___ forces are applied to an object in opposite directions, the object does move, this means the forces are ___.

Answers

Answer:

Equal and opposite

Constant speed

Balanced

Unequal and non-opposite

Unbalanced

Explanation:

Balanced forces can be defined as forces which are equal in size but opposite in direction.

Now, these forces do not cause a change in motion because when they act on an object at rest, such an object will not move. For example, when attempt to push against a wall, the wall will push back with an equal but opposite force and neither you nor the wall will move.

While unbalanced forces are those that cause a change in the motion of an object.

Thus, these forces are said not to be equal and opposite.

Other Questions
What do you think Gillary's depiction of the British and Chinese? Which rhetorical device does Lincoln used in this sentence and for what purpose PLEASE HELP!!! Its about exponential functions. I will mark brainliest!!!!!! Hamburger buns come in packages of 12. Hamburger patties come in packages of 8. Bob would like to buy the smallest number of hamburger buns and hamburger patties so that he will exactly one hamburger patty per bun. How many packages of hamburger buns and hamburger patties must he buy?PLEASE ANSWER QUICK I WILL GIVE LOTS OF POINTS What natural resource helped Kush become apowerful kingdom?A bronzeB goldC soilD wood I need help with my math homework What is the degree of the polynomial 2x6+5x3x2+100? Government today serves the following purposes?A. Prevents anarchyB. Provides services C. Offers sense of security/protectionD. All of the above What is the name of the tab that becomes available after you add and select an image in your PowerPoint presentation? Home Insert Picture ViewASAP PLS Match the characteristic described with the market or markets it applies to. Each characteristic can have multiple answers and each market type can be used multiple times. can earn economic profit in the long run produces at lowest possible average cost in the long run the pricing choices of one firm have a dramatic effect onother firms in the market faces a downward sloping demand curve usually faces entry from new firms is typically protected by barriers to market entry A cash-basis taxpayer made a bona fide, nonbusiness loan to an acquaintance in year 1. At the end of year 2, it is determined that the taxpayer will likely be able to collect only 20% of the principal, and no interest has been or will be collected. How should the loss be treated for tax purposes in year 2 Cost standards for one unit of product no. C77: Direct material 3 pounds at $2.50 per pound $ 7.50 Direct labor 5 hours at $7.50 per hour 37.50 Actual results: Units produced 7,800 units Direct material purchased 26,000 pounds at $2.70 $ 70,200 Direct material used 23,100 pounds at $2.70 62,370 Direct labor 40,100 hours at $7.30 292,730 Use the information to compute the following variances. The standard hours allowed for the work performed are: what is eqivalent to 1/11 The powers not delegated to the United States by the Constitution,nor prohibited by it to the States, are reserved to the Statesrespectively, or to the people.-Tenth Amendment, U.S. ConstitutionWhich principle of U.S. government is most clearly reflected in the amendmeabove? What is toxicology?Toxicology is the study of the negative effects of blank on living thing Find the missing length of the similar figures.Find the distance between Riverside and Milton if they are 12 cm apart on a map with a scale of 4 cm : 21 km. I need help fast this is for economic personal trails and values A polynomial is given below.3x6 + 2x4 x3 + 7Which statement must be true about this polynomial? In hummingbirds feather color is incompletely dominant. A rather large population of hummingbirds has 396 red-sided individuals (RR), 257 brown sided individuals (Re) and 557 tan-sided individuals orr). Calculate the following:_______. a. What is the allele frequency of the Rallele (o)? b. What is the allele frequency of the rallele (a)? Migration season comes and 200 of the red-sided individuals leave the nosulation before mating occurs. c. After migration season what is the new allele frequency of the Rallele (0)? d. After migration season, what is the new allele frequency of the rallelelo? e. Which mechanism of evolution (natural selection, genetic drift, or gene flow) caused the allele frequencies to change? Antnio, que dono de uma queijaria artesanal, estava colocando todos os queijos produzidos, num determinado dia em prateleiras destinadas a maturao. Ao organiz-los nessas prateleiras, percebeu que apenas a metade deles caberia. Assim, os queijos que no couberam nas prateleiras foram destinados a quatro caixas de maturao. Ao colocar nove queijos em cada caixa. sobraram ainda cinco queijos, que foram distribudos entre seus familiares. Quantos queijos foram produzidos por Antnio nesse dia?