A 7cm thick wedge and 15 cm long wedge is used to pierce a 2m long log of diameter 20 cm. What is velocity ratio of the wedge?

Answers

Answer 1

The velocity ratio of the wedge is 0.05. This means that the effort must be moved a distance of 20 times the distance moved by the load to split the log.

How to calculate the velocity ratio of the wedge?

To calculate the velocity ratio of the wedge, we first need to understand the mechanical advantage of the wedge.

The mechanical advantage of a wedge is calculated as the ratio of the length of the sloping side of the wedge to its thickness. In this case, the length of the sloping side is the length of the wedge, which is 15 cm, and the thickness is 7 cm. So, the mechanical advantage of the wedge is:

Mechanical advantage = Length of sloping side / Thickness

= 15 cm / 7 cm

= 2.14

This means that the wedge can multiply the force applied to it by a factor of 2.14.

Now, let's calculate the velocity ratio of the wedge. The velocity ratio is the ratio of the distance moved by the effort to the distance moved by the load. In this case, the effort is the force applied to the wedge, and the load is the log.

Since the wedge is being used to pierce the log, we can assume that the force applied to the wedge is equal to the force required to cut the log. The force required to cut a log depends on several factors, including the species of wood, the moisture content of the wood, and the sharpness of the wedge. Without more information, we cannot calculate the force required to cut the log.

However, we can calculate the distance moved by the effort and the distance moved by the load. When the wedge is struck with a hammer or mallet, it moves a short distance into the log. Let's assume that the wedge moves 1 cm into the log before the log splits. The distance moved by the load is equal to the diameter of the log, which is 20 cm.

Therefore, the velocity ratio of the wedge is:

Velocity ratio = Distance moved by effort

/ Distance moved by load

= 1 cm / 20 cm

= 0.05

So, the velocity ratio of the wedge is 0.05. This means that the effort must be moved a distance of 20 times the distance moved by the load to split the log.

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Related Questions

What is the answer to this assignment?

Answers

The vertical component of the force vector 42 N is 7.29 N and the  that of the vector B is 26 N. Then the resultant vector is 18.71 N. The equilibrant is the same but opposite in direction ie., - 18.71.

What are vectors ?

Vectors are physical quantities having both magnitude and direction. The quantities with magnitude only are called scalar quantities. Force, work done, displacement , momentum etc are vector quantities.

The resultant of two vectors depends on their magnitude and direction. The given two vectors A and B are in opposite directions. Hence, the resultant vector will be their difference in magnitude.

Vertical component of vector A = 42 cos 80 = 7.29 N

component of vector B = 34 cos 40 = 26 N.

Then, resultant vector = 26 N - 7.29 N = 18.71 N

equilibrant = - 18.7 N.

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Cavendish did his experiment using lead balls. Suppose he had used equal masses of copper instead.
Would his value of G be the same or different? Explain.

Answers

Answer:

The value of G is constant (does not depend on masses M1 and M2)

However, F (force) would be smaller and harder to measure

The gravitational constant is proportional to mass and not density

why is it important to consider the transfer of energy when building a house

Answers

While building a house, it's crucial to take energy transmission into account because homes lose a lot of thermal energy. Radiation, conduction, and convection are three ways they can lose energy.

Why is heat transmission critical in structures?

Buildings must consider heat transfer while designing the fabric of the structure as well as the passive and active systems required to provide the desired thermal conditions with the least amount of resource use.

What alters the way heat moves through buildings?

The three most crucial variables are temperature, moisture content, and density. Thickness, air velocity, pressing, and ageing time are further considerations. The correlation between the key variables and thermal conductivity is shown.

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Two blocks move along a linear path on a nearly frictionless air track. One block, of mass 0.110 kg, initially moves to the right at a speed of 4.60 m/s, while the second block, of mass 0.220 kg, is initially to the left of the first block and moving to the right at 6.90 m/s. Find the final velocities of the blocks, assuming the collision is elastic.

Answers

Answer:

The final velocities of the blocks are 3.00 m/s and 8.50 m/s, respectively.

If a 550 kg horse is traveling at 20 m/s, how much kinetic energy does it have?

Answers

Answer:

KE = 110000 J

KE = 0.11 MJ

KE = 104.1794917935 [tex]BTU_{mean}[/tex]

KE = 26252.857981585 [tex]cal_{mean}[/tex]

The kinetic energy of a moving body can be calculated using its mass and velocity. The kinetic energy of the horse of 550 kg travelling at 20 m/s is 11000 J.

What is kinetic energy ?

Kinetic energy of an object is generated by virtue of its motion. When the object starts moving its potential energy starts to convert into kinetic energy.

The kinetic energy of an object is related to its mass and velocity as follows:

Ke = 1/2 mv²

Hence, kinetic energy is directly proportional to the mass and velocity.

Given mass of the horse m = 550 kg

velocity = 20 m/s

then, Ke = 1/2 550 kg × (20 m/s)²

Ke = 11000 J.

Therefore, the kinetic energy of the horse is 11000 J.

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The specific heat capacity of a substance is the energy needed to raise the temperature of 1 __________ of the substance by 1 __________

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The specific heat capacity of a substance is the energy needed to raise the temperature of 1 gram of the substance by 1 degree Celsius.

A substance's specific heat capacity (c), often known as its specific heat, is the amount of heat needed to increase 1 gram of that substance's temperature by 1 degree Celsius (or 1 kelvin). It can be expressed as follows:

c = q/mΔT

where q is the heat supplied, c is the constant of proportionality, called specific heat capacity of the body, m is the mass of the substance, and T is the temperature.

Just the type of substance that absorbs or releases heat determines a substance's specific heat capacity. It is an intense property—it doesn't matter how much of a substance there is; only its type does.

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A person can push a 50 N box 27 meters. If the person uses 300 Watts of power, how much time will it take?

Answers

Answer:

4.5 seconds

Explanation:

For this question, we're gonna use the formula below:

Power = Work / Time

where Power is measured in watts (W), Work is measured in joules (J), and Time is measured in seconds (s).

To solve for Time, we can rearrange the formula as follows:

Time = Work / Power

Now, we need to find the amount of work done in pushing the box:

Work = Force x Distance

where Force is measured in Newtons (N) and Distance is measured in meters (m).

So,

Work = 50 N x 27 m = 1350 J

Now we can substitute the values into the formula for time:

Time = Work / Power = 1350 J / 300 W = 4.5 s

Therefore, it will take 4.5 seconds for the person to push the 50 N box 27 meters using 300 watts of power.

A flat coil of wire is placed in a uniform magnetic field that is in the y direction. (i) The magnetic flux through the coil is a maximum if the plane of the coil is where? (Select all that apply. ) in the xy plane in the yz plane in the xz plane in any orientation, because it is a constant (ii) For what orientation is the flux zero? (Select all that apply. ) in the xy plane in the yz plane in the xz plane in any orientation, because it is a constant

Answers

Due to theta's value of 90, flux in the x, y, and z planes will actually be zero. As long as the loop stays within the xz plane, which is parallel to the y axis that provides the most area again for passage of a magnetic field,

Flow = BA cos(theta) It will be at its highest if theta is zero and zero is ninety degrees.

The largest region for a magnetic field to flow through during a loop is situated in the xz plane, where theta is 90, is where flux will be zero in the xy plane and the yz plane.

Flow = BA cos(theta) It will be at its highest if theta is zero and zero is ninety degrees. In this situation, theta is 90, hence flux will indeed be 0 in the x, y, and z planes.

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A flute filled with helium will, until the helium escapes, play notes at a much higher pitch than normal. Why

Answers

The sound travels through helium significantly more quickly than through air when a flute is filled with it as opposed to air since helium is substantially less thick than air, sound moves through it more quickly.

The frequency of a sound wave in which is the quantity of vibrations per second and it determines the pitch of a sound. Since helium has a higher sound speed than air, the sound waves created by the flute will move more quickly and at a higher frequency, producing a higher-pitched sound.

The particles in in a gas move faster if its’ volume is decreased. (True or False)

Answers

False.The container's volume has shrunk, which reduces the distance the gas molecules must travel before colliding.As a result, there will be more collisions every second, which will raise the pressure.

As the volume is reduced, what happens to the gas particles?

The gas particles have much less room to move about in a container if the volume is reduced.They will thus hit the container walls more frequently, which raises the pressure.

Does the volume of a gas particle impact its speed?

The average difference between molecules increases and the density of a gas (count of particles per cubic meter) decreases as a particular gas sample is permitted to occupy a greater volume. The speed of a molecules remains constant.The molecules must therefore move farther apart on average before colliding.

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A small child weighs 25 kg. If mommy left him sitting on top of the stairs, which are 10 m high, how much energy does the child have?

Answers

Answer:

PE = 2450 Joules

KE = Assuming the child is at rest (not moving or accelerating), there is no Kinetic Energy

Explanation:

PE = potential energy

m = mass

g = gravity

h = height

PE = mgh

m = 25 kg

h = 10 m

g = 9.8 (when on Earth, gravity is always this number with more or less decimals)

[tex]PE = (25)(9.8)(10)=2450J[/tex]

A block is initially sliding along a surface of negligible friction with a speed v0 A constant force F0 is then exerted on the block. Which of the following figures represents the situations in which the kinetic energy of the block will initially decrease? Select two answers.

Answers

The frictional force reduces the block's kinetic energy and causes negative work to be done on it.

Simply put, what is kinetic energy?

Kinetic energy is the energy that a thing has when it is moving. An item can only be accelerated through the application of a force. Applying force requires effort on our part. Following completion of the work, energy is transferred towards the object, which then moves at such a new, constant speed.

What kinds of things contain kinetic energy?

Kinetic energy appears to be the driving force behind motion, as evidenced by the way objects and subatomic particles move. Every particle & moving object contains kinetic energy. Examples of kinetic energy in motion include walking, a baseball flying through the air, food falling off a table, and just a charged particle within an electric field.

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Question
Which resistors in the circuit are connected in parallel?
www
D
A. B and C
B. A and B
C. C and D
D. A and D

Answers

Answer:

DWhich resistors in the circuit are connected in parallel

B and C resistors in the circuit are connected in parallel. Hence option A is correct.

What is a parallel and series combination of resistance?

When two or more resistors are connected between two same points, they are said to be connected in parallel combination(as shown in fig). The equivalent resistance is the reciprocal and the sum of reciprocals of all resistance connected in parallel combination.

1/R(p) =1/R₁+1/R₂+1/R₃...........1/Rₙ

where R(p) is the equivalent or total resistance of the circuit.

In parallel combination, same potential difference exists across each resistor. But current through each resistance is different.

When two or more resistors are connected one after other, they are said to be connected in series as shown in figure. in this combination voltage difference across each resistance is different which is given by ohms law. current flowing through each resistance is same.

equivalent resistance for series combination is given by,

R(s) = R₁ + R₂ + R₃...........+R(n).

Hence option A is correct.

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How much current would be traveling perpendicular to a 2.90 T magnetic field when a force of 57.80 N is present in an 90.70 meter wire?

Answers

A magnetic field is a vector field that explains the magnetic effect on moving charges, currents, and magnetic materials.

What is called magnetic field?

The magnetic field is the area around a magnetic material or a moving electric charge where the power of magnetism works. A diagram of the magnetic field that depicts how a magnetic force is spread within and around a magnetic substance.

The region encircling a magnetic dipole or a moving charge generates a magnetic field. The SI measure of field strength for magnetic fields is Tesla (T). The magnetic field is the region around a magnet where one can feel the magnetic pull.

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For the circuit shown in the figure, the current in the 8 resistor is 0.50 A, and all quantities are accurate to 2 significant figures. What is the current in the 2 resistor?

Answers

The current through the 2Ω resistor is 9.5A

The terminal voltage is 10.8 V

How to calculate

a) The voltage V across 8 Ω resistor is V = I*R = 8*0.5 = 4V

the current through 16Ω resistor is then I = V/R = 4/16 = 0.25 A

the current through 20Ω resistor is then I = current through 8Ω resistor + current through 16Ω resistor = 0.75 A

voltage across 20Ω is V = I*R = 0.75*20 = 15 V

the source voltage is Vs = V8 + V20 = 4+15 = 19 V

therefore the current through 2Ω resistor is

I = V/R = 19/2 = 9.5 A

b) The terminal voltage is

Vterminal = VR = I*R = 0.450*24 = 10.8 V

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A load of 2kg produce an extension of 1mm in a wire of 3m in length and 1mm in diameter,calculate the young modulus of d wire​

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A load of 2kg produce an extension of 1mm in a wire of 3m in length and 1mm in diameter, the Young's modulus of the wire is approximately 8.12 × 10^10 Pa.

The Young's modulus (E) is a measure of the stiffness of a material and is defined as the ratio of stress (σ) to strain (ε) in a material under tensile stress.

In this problem, we are given the following information:

Load (F) = 2 kg

Extension (ΔL) = 1 mm

Length of wire (L) = 3 m

Diameter of wire (d) = 1 mm

We need to calculate the Young's modulus (E) of the wire.

The formula for Young's modulus is:

E = (F/A) / (ΔL/L)

where A is the cross-sectional area of the wire.

The cross-sectional area of the wire can be calculated using the formula:

A = πd^2/4

Substituting the given values, we get:

A = π(1 mm)^2/4 = 0.785 mm^2

Now, substituting the values of F, ΔL, L, and A in the formula for Young's modulus, we get:

E = (2 kg/(9.81 m/s^2))/((1 mm/1000)/(3 m)) / 0.785 mm^2

Thus the value is,

E = 8.12 × 10^10 Pa

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Cory is driving west in a straight line. After driving for 1.7kilometers, he turns north and drives for 4.3 km. At the end of his drive, what is the magnitude of his displacement vector?

a.3.4 km
b.5.1 km
c.6.0 km
d.4.6 km

Answers

Cory's displacement vector has a magnitude of 4.62 km, which is the closest to the 4.6 km value.

What is a displacement vector's magnitude?

The length of the arrow is a symbol for the displacement vector's magnitude, which represents the distance between the locations. The arrow's direction corresponds to the displacement vector's direction.

What is the displacement magnitude formula?

d = 3 m + 5 m + 6 m = 14 m is the total distance travelled. Visualizing the walking makes it possible to determine the displacement's size. The real distance between A and B is 3 metres, followed by 5 metres from B to D and 6 metres from D to E. |S| =√92+52 = 10.29 m.

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A wheel that has a radius of 70 cm rotates are 5 radians per Second, what is the velocity of the edge of the wheel in Meters per second​

Answers

Answer:Radius =70cm

Distance covered in one rotation = circumference of wheel =2πr

=2×

7

22

×70

=440cm

Distance covered in 300 rotation =300×440

=132000=

100000

132000

=1.32km

Given that distance of 1.32km is covered in 5 minutes or  

60

5

 hour.

Therefore,

Speed of cycle =

time

distance

=

(

60

5

)

1.32

=

5

1.32×60

=15.84km/hr

Explanation:

1) Electrical conductivity (EC) measures the amount of ions in the water; we think of it as the amount of minerals in solution, either calcium, potassium, nitrogen, etc. Over time, has the EC increased or decreased significantly (more than 100 S/cm)? (0.5pt) If so, propose why that may have happened. (0.5pt)



2) Ammonia (NH4) is a waste product of fish. Over time, has NH4 increased or decreased significantly (by 0.25 or greater)? (0.5pt) If so, propose why that may have happened. (0.5pt).



3) Nitrite (NO2-) is a form of nitrogen produced by nitrifying bacteria. Over time, has NO2- increased or decreased significantly (by 5 or greater)? (0.5pt) If so, propose why that may have happened. (0.5pt).



4) Nitrate (NO3-) is a form of nitrogen produced by nitrifying bacteria and is food for plants. Over time, has NO3- increased or decreased significantly (by 10 or greater)? (0.5pt) If so, propose why that may have happened. (0.5pt).

Answers

The capacity of water to transmit electrical current is determined by its conductivity. The quantity of electrical ions in the water has a direct impact on this ability

What is called electrical conductivity?

A material's electrical resistivity, also known as particular electrical resistance or volume resistivity, determines how effectively it opposes electric current. For example, pure water has a high electrical resistivity and is an insulator. A substance that easily permits electric current has a low resistivity. Greek character is often used to denote resistance (rho). The ohm-meter (m) is the SI measure of electrical impedance.

For instance, if the resistance between the sheet contacts on two opposing sides of a solid material square measuring 1 m3 is 1, the material has a resistivity of 1 m.

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What example best describes absolute dating?
1. when the automobile was first built
2. when the dinosaurs lived
3. when the universe began
4. when humans first walked the earth

Answers

when the dinosaurs lived

A worker applies a force of 1,050 N to move a crate 22 m. How much work has he done?

Answers

Answer:

The work done by the worker can be calculated using the formula:Work = Force x Distance x cos(theta)where theta is the angle between the force and the direction of motion. Since the force is applied in the same direction as the motion, theta is 0 degrees and cos(theta) is equal to 1.So, substituting the given values into the formula:Work = 1,050 N x 22 m x cos(0)Work = 23,100 JoulesTherefore, the worker has done 23,100 Joules of work to move the crate 22 meters with a force of 1,050 N

Explanation:

Think about this hypothetical (not real) situation: Scientist discovered 2 new planets- Planet 11 and Planet Will. Both planets have the exact same diameter. However, Planet 11 has a MUCH stronger force of gravity. What can you infer about the relative MASS of each planet? Explain your answer.
Please answer in a full paragraph! :)

Answers

Based on the information provided, if Planet 11 has a much stronger force of gravity than Planet Will, we can infer that Planet 11 has a greater mass than Planet Will. This is because the force of gravity is directly proportional to the mass of an object. A planet with a greater mass will exert a stronger gravitational force on objects within its vicinity than a planet with a lower mass, assuming the two planets have the same diameter.

This relationship can be explained by the law of universal gravitation, which states that the force of gravity between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them. Therefore, if Planet 11 has a stronger gravitational force than Planet Will, it must have a greater mass, assuming that the distance between the two planets is the same.

In summary, the stronger force of gravity on Planet 11 compared to Planet Will implies that Planet 11 has a greater mass than Planet Will.

Compare the force required to loosen the bolt using the 1/4 ratchet compared to 3/8 ratchet or breaker bar.

Answers

TO be completely fair here when you put these fractions together 3/8 needs more force then 1/4 as 3/8 is already closer to half of 4 as a fraction aka 2/4

Miguel is riding a skateboard down the street road 150 m/min. if his velocity remains constant how far will Miguel skate in 3.4 minutes?

Answers

The distance travelled by Miguel in a time of 3.4 minutes is 510 m.

What is meant by constant velocity ?

An object in motion is said to have constant velocity when the object travels equal displacements in equal intervals of time. That means the velocity is not changing with time.

Here,

The velocity of the skateboard, v = 150 m/min

Time taken by Miguel, t = 3.4 min

So,

The distance travelled by Miguel in 3.4 min is,

  s = v x t

  s = 150 x 3.4

  s = 510 m

Hence,

The distance travelled by Miguel in a time of 3.4 minutes is 510 m.

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The momentum of a car traveling in a straight line at 20 m/sec is 24,500 kg times m/sec. What is the cars mass?

Answers

1225 kg.

To solve for the mass, use and derive the following formula for the momentum problem:

p = mv

m = p / v

where:

m is the mass if the object

p is the momentum (24,500 kg•m/s.)

v is the velocity of the object (20 m/s.)

Solution:

m = p / v

m = 24, 500 kg•m/s ÷ 20 m/s

m = 1225 kg.

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Which of the following provided the best definition as to what is gravity? Group of answer choices What goes up must come down Everything with mass is attracted to everything else with mass Only small things are attracted to larger things Only larger things are attracted to smaller things

Answers

The statement that everything with mass is attracted to everything else with mass is the best definition of gravity.

What is gravity?

In the field of physics, gravity is a basic interaction that causes all objects with mass or energy to attract one another. This force is present everywhere in the universe, and is the reason why all the planets in the solar system orbit around the sun.

From the group of answer choices, "Everything with mass is attracted to everything else with mass" is correct, since it describes the natural phenomenon by which all objects in the universe are attracted to one another.

The statement "What goes up must come down" is a simple observation of gravity's effects on objects on Earth, but it does not provide a complete definition of the force itself.

"Only small things are attracted to larger things" and "Only larger things are attracted to smaller things" are incorrect, as gravity acts on all objects with mass, regardless of their size.

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Any change in SPEED or DIRECTION is referred to as _____

Answers

Answer:

Acceleration

Explanation:

I just know trust me I have this answer (sorry if I out ice) and I got it right

Answer: I would say the answer to this question is Acceleration

Explanation:

protons and electrons are similar in that they both have ____ however protons are different in that they _____ and electrons are different in that they ____.

Answers

Protons and electrons are similar in that they both have charged sub- atomic particles however protons are different in that they are positive charged and electrons are different in that they are negative charged.

A solid will float in a liquid if it is less dense than the liquid, and sink if it is more dense than the liquid. If the density of seawater is 1.025 g/mL, which types of plastics would definitely float in seawater? JUSTIFY your answer.

Answers

Explanation:

Plastics with a density less than or equal to 1.025 g/mL will float in seawater, while plastics with a density greater than 1.025 g/mL will sink.

Here are some examples of plastic densities:

Polyethylene terephthalate (PET) has a density of approximately 1.38 g/mL, so it will sink in seawater.

Polypropylene (PP) has a density of approximately 0.9 g/mL, so it will float in seawater.

High-density polyethylene (HDPE) has a density of approximately 0.95 g/mL, so it will float in seawater.

Polystyrene (PS) has a density of approximately 1.05 g/mL, so it will sink in seawater.

Based on the above examples, we can see that plastics such as polypropylene and high-density polyethylene will definitely float in seawater, while others such as polyethylene terephthalate and polystyrene will definitely sink. Other types of plastics with densities close to 1.025 g/mL may float or sink depending on their exact density and the conditions of the water, such as temperature and salinity.

Answer question in the picture

Answers

The kinetic energy of the roller coaster car is 40, 914. 08 J.

How to find the Kinetic energy ?

The kinetic energy (KE) of a moving object is given by the formula:

KE = ( 1 / 2 ) mv ²

Where m is the mass of the object and v is its velocity.

In this case, the mass of the roller coaster car is 311.11 kg and its velocity is 16.22 m/s. Substituting these values into the formula, we get:

KE = ( 1 / 2 ) ( 311.11 kg )( 16.22 m/s) ²

KE = (0.5) (311.11 kg) ( 263. 02 m ² /s ²)

KE = 40, 914. 08 joules (J)

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history of Holocaust Describe how the mechanism of natural selection could cause a population where 55% of the worms were green, 25% were green with brown stripes, and 20% were brown to turn over 165 years in a population of 100% brown worms?55% 25% 20%100%1. Evidence of variation in the original population?2. Describe a selection pressure that could drive the change described in this case?3. Adaptive advantage of the favored phenotype? --What can the fittest do?4. What kind of selection is this? directional, disruptive, or balanced? 8.5 inches long. If the actual length of the line is 9.1 inches, then what was the percent error of the measurement, to the nearest tenth of a percent? Simplify each expression by performing the indici (a) z+3z; (b) z*3z; (c) -z-3z; (d) (-z)(-3z) (a) z+3z=1 which line from passage 1 BEST demonstrates houdini's physical prowess? aDressed only in a bathing suit, he drove up to the event in a racing car, flanked by cheering fans. bWhen he was still a child, he had his brother tie him up with ropes and leave him on the roof. cHe could hold his breath for over three minutes in freezing water. dAt the age of 52 he dared some college students to punch him in the stomach as hard as they could for as long as they wanted. I need help please! Im not sure how to solve In the context of this article, what were some of the causes of conflict in Egyptiansociety? What are some similar causes of conflict that still exist in society today? Howcould these conflicts be resolved? Compare the meaning of complacency with words that are slightly different in meaning: contentment, satisfaction, delight, and euphoria. Check the different connotations in a dictionary. PLEASE HELP :((( show BOTH distribution and FOIL to find the product of (3x - 2)and(2z + 6). Jamal works as an electricians apprentice. He rewired 4 electrical outlets in 1 and one-halfhours. If he works at the same pace for 7.5 hours, how many outlets will he rewire? What is an organoid [as used in developmental biology research]?Identify one of the major reasons they have become popular forbasic research. HELLOOOO PLEASE HELP ME 15 POINTS!!!!! solve pls 3x+5y=15x+y=3 Line Handout #1f: Find the equation of the line parallel to 3x +y=-3 through the point (3,2) FIrst Question: What proportion of U.S. residents receive a jury summons each year? A polling organization plans to survey a random sample of 500 U.S. residents to find out. Let P^ be the proportion of residents in the sample who received a jury summons in the previous 12 months. According to the National Center for State Courts, 15% of U.S. residents receive a jury summons each year. Suppose that this claim is true.What sample size would be required to reduce the standard deviation of the sampling distribution to one-half the original value?Second Question: A USA Today poll asked a random sample of 1012 U.S. adults what they do with the milk in their cereal bowl after they have eaten. Let p^ be the proportion of people in the sample who drink the cereal milk. A spokesman for the dairy industry claims that 70% of all U.S. adults drink the cereal milk. Suppose this claim is true.What sample size would be required to reduce the standard deviation of the sampling distribution to one-half the original value? What value of x makes the equation 1+\sqrt{x-1=5} true? Using the integer root theorem, list out all possibl (e)/(c)andidate integer roots of f(x)=-x^(5)+22x^(4)-8x^(3)-8x^(2)+5x+100. Use commas to separate. The farmers of the constitution used the best ideas from a variety of sources Use the suggested substitution to write the expression as atrigonometric expression. Simplify your answer as much as possible.Assume 02.1x^2, x=cos() McKenzie and Lindy work on a landscaping crew. They can complete the landscaping job in 4 hours if they work together. McKenzie generally takes 6 hours less Lindy. How long would it take McKenzie to complete the landscaping job if Lindy calls in sick?