three importance of measurement​

Answers

Answer 1
Without the ability to measure, it would be difficult for scientists to conduct experiments or form theories. Not only is measurement important in science and the chemical industry, it is also essential in farming, engineering, construction, manufacturing, commerce, and numerous other occupations and activities.

Related Questions

What is charging by contact ​

Answers

Answer:

Charging by contact is when the charged object is brought near but never contacted to the object being charged

Explanation:

a process generates 250 watts of useful energy and 600 watts of waste energy. WhT is the efficiency of the process?
O29percent
O2.4percent
O42 percent
O71percent

Answers

The efficiency of the process is 42%

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

Useful energy = 250 watt

Wasteful energy = 600 watt

Efficiency =?

The efficiency of the process can be obtained as illustrated below:

\(efficiency \: = \frac{useful \: energy}{wasteful \: energy} \times 100 \\ \\ efficiency \: = \frac{250}{600} \times 100 \\ \)

Efficiency = 42%

Therefore, the efficiency of the process is 42%

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Answer:

Its actually 29%

Explanation:

Took the Test

In an oil drop experiment, a drop with a weight of 1.9 x 10-14 N was suspended when the potential difference between 2 plates that were 63 mm apart was 780 V. What was the charge on the drop?

Answers

Answer:

Study More You will get it :L

Which statement best describes work in the scientific sense?
O A. Work is the sum of the distances an object moves due to the
forces applied to it.
O B. Work is the number of tasks done in the amount of time needed to
complete them.
O C. Work is the ratio of the force acting on an object and the distance
the object travels.
O D. Work is the product of a force and the distance an object moves
because of the force.

Answers

Answer:

the answer is D I tought

In the diagram, the distance OP is the focal length of the converging lens. One ray of light from O
is shown.
Through which point will this ray pass, after refraction by the lens?

In the diagram, the distance OP is the focal length of the converging lens. One ray of light from O is

Answers

The point through which this ray will pass, after refraction by the lens is point D.

What is refraction of light?

The refraction of light refers to the bending or change in direction that occurs when light passes from one medium to another. It is a phenomenon that happens due to the difference in the speed of light in different substances.

From the ray diagram given, after the light incident from point O, it will pass the converging at point D which is the focal length of the lens after refraction.

Thus, based on the converging lens given in the ray diagram, we can conclude that, the point through which this ray will pass, after refraction by the lens is point D.

So point D is the correct answer.

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b. A string is wrapped around a pulley of radius 0.05 m and moment of inertia 0.2 kg  m2. If the string is pulled with a force F, the resulting angular acceleration of the pulley is 2 rad/s2. Determine the magnitude of the force F.

Answers

Answer:

f = 8 N

Explanation:

Data provided in the question

Radius of the pulley  = r = 0.05 m

Moment of inertia = (I) = 0.2 kg.m^{2}

Angular acceleration = ∝ = 2 rad/sec

Based on the above information

As we know that

Torque is

\(= force \times radius\)

\(= f \times r\)

And,

Torque is also

\(= moment\ of\ inertia \times angular\ acceleration\)

\(= I \times \alpha\)

So,

We can say that

\(f \times r = I \times \alpha\)

\(f \times 0.05 = 0.2 \times 2\)

0.05f = 0.4

f = 8 N

We simply applied the above formulas

A 200N lamp is suspended from three cables as shown in the figure below. Find the tensions in each of the three cables.

Answers

Answer:

66.6N

Explanation:

Step one;

given data

the mass of the lamp = 200N

we are told that it is suspended by 3 cables.

Now we know that the weight will be distributed equally on the cables

Step two:

so, let the tension in each cable be T

T+T+T= 200

3T=200

T=200/3

T=66.6N

The tenion on each cable is 66.6N

read the sentences choose the one that is informational ​

Answers

Answer:

at least put the sentences in the Ques. smh

Explanation:

Answer:

B-The world’s largest pancake griddle is located in Penn Yan, NY, and measures 27 feet from end to end.

Explanation:

i got it right on my test

read the sentences choose the one that is informational

A 0.0780 kg lemming runs off a
5.36 m high cliff at 4.84 m/s. What
is its potential energy (PE) when it
lands?

Answers

The potential energy of the lemming when it lands is 0.9108672 J.

To determine the potential energy (PE) of the lemming when it lands, we need to consider the conservation of energy. The potential energy of an object is given by the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height.

Given:

Mass of the lemming (m) = 0.0780 kg

Height of the cliff (h) = 5.36 m

First, let's calculate the potential energy when the lemming is on the cliff. Using the given formula, we have:

PE = mgh

PE = 0.0780 kg * 9.8 m/s² * 5.36 m

PE = 0.413616 J

Next, we need to determine the final kinetic energy of the lemming just before it lands. We can use the equation for kinetic energy (KE) given by KE = (1/2)mv², where v is the velocity of the lemming.

Given:

Velocity of the lemming (v) = 4.84 m/s

Calculating the kinetic energy, we have:

KE = (1/2) * 0.0780 kg * (4.84 m/s)²

KE = 0.9108672 J

According to the conservation of energy, the potential energy at the top of the cliff is equal to the kinetic energy just before landing.

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What do you know about the current at different points in a series circuit?

A)it increases the farther it gets from the battery
B)it decreases the farther it gets from the battery
C)it decreases based on the resistance of the devices
D)it is the same at all points in the circuit

Answers

Answer:

D

Explanation:

In a series circuit there is only one path for the current to complete the path....so D

what kind of energy does a cell have

Answers

Answer:

The only form of energy a cell can use is a molecule called adenosine triphosphate (ATP). Chemical energy is stored in the bonds that hold the molecule together.

Explanation:

hope it helps

Use the table to answer the question below.

I need urgent help please please please please please please please please please please please please please please please please please. D:​

Use the table to answer the question below.I need urgent help please please please please please please

Answers

Explanation:

Here is the first one....you should try the second one...

Use the table to answer the question below.I need urgent help please please please please please please

Simpson s drives his car with an average velocity of 85 km/h eastward how long will it take him to drive 560 km on a perfectly straight highway?

Answers

Simpson will it take 112 / 17 km to drive 560 km on a perfectly straight highway.

What relationship does speed have with distance?

You can replace this computation with d = rt, which stands for "distance equals rate times time." To calculate speed or rate, use the speed formula, s = d/t, which asserts that speed is equal to distance divided by time.

The difference between speed and velocity is the amount of distance an object covers in a given amount of time and in a certain direction. Speed is a scalar quantity while velocity is a vector.

We know that:

v = 85

d = 560

Substitute

v = 85

d = 560 into formula d = v x t  :

560 = 85t

Cross out the common factor: 112 / 17 km

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The nucleus was discovered by Rutherford when this occurred to the alpha particles shot at gold foil in his laboratory. T/F?

Answers

The given statement about “The nucleus was discovered by Rutherford when this occurred to the alpha particles shot at gold foil in his laboratory.” is true, because in his famous experiment, alpha particles were seen to scatter away from a gold foil in the reverse direction.

In the Rutherford model, the atom is described as having a small, dense, positively charged core known as a nucleus, in which nearly all of the mass is concentrated, and around which the light, negative constituents known as electrons circulate at some distance, similar to how planets revolve around the sun at a certain distance. Under the guidance of Rutherford and German physicist Hans Geiger in 1909, Ernest Marsden, conducted a series of experiments that revealed the scattering of alpha particles from thin gold foil. This resulted in the hypothesis that the nucleus was small and dense.

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Waves
Please need help fast

WavesPlease need help fast

Answers

I believe its the third answer

I want to confirm if 5.94 m/s is the answer to the following problem: kangaroos are strong jumpers and can leap over an object 1.8m high. Calculate a kangaroo's minimum vertical speed when it leaves the ground.

Answers

A kangaroo has to move vertically at least 8.34 m/s in order to leap over a 1.8 m-high object.

How can you determine the lowest vertical speed?

Determine the vertical circular motion's radius, measured in metres, and the approximate centripetal acceleration brought on by gravity, measured in metres per second squared. Step 2: Use the formula vmin=rg v min = r g to determine the object's minimum speed (the speed at the top of the circle).

(mass of kangaroo) x (acceleration due to gravity) x (height of the object) = 0.5 x (mass of kangaroo) x (minimum vertical speed)²

Canceling out the mass of the kangaroo on both sides, we get:

9.8 m/s² x 1.8 m = 0.5 x (minimum vertical speed)²

Solving for the minimum vertical speed, we get:

minimum vertical speed = sqrt((2 x 9.8 m/s² x 1.8 m)/0.5) = 8.34 m/s (rounded to two decimal places).

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A positively charged particle of charge 7.5 X 10 ^- 13 C
and mass 2.5 X 10^ - 21 kg enters a cyclotron and moves
along a circle of radius 14 cm at an angle of 90° to the
magnetic field vector. The magnetic field vector inside the
cyclotron has a magnitude of 0.10 T. What is the period of
the positively charged particle?

Answers

The time period of the charged particle is 2.093x 10⁻⁷s.

What is a cyclotron ?

Cyclotron is a device which is used to accelerate heavy charged particles proton, deuteron, He nucleus, etc.

Here,

Charge of the particle, q = 7.5x 10⁻¹³ C

Mass of the particle, m = 2.5x 10⁻²¹ kg

Radius, r = 14x 10⁻² m

Magnetic field, B = 0.1 T

Time period of the charged particle,

T = 2\(\pi\)m/qB

T = (2\(\pi\)x 2.5x 10⁻²¹)/(7.5x 10⁻¹³x 0.1)

T = 2.093x 10⁻⁷ s

Hence,

The time period of the charged particle is 2.093x 10⁻⁷s.

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What is rill erosion

Answers

Rill erosion occurs when runoff water forms small channels as it concentrates down a slope.
Rill erosion occurs when runoff water forms small channels as it concentrates down a slope. These rills can be up to 0.3m deep. If they become any deeper than 0.3m they are referred to as gully erosion.

A circle loop of radius 2 m is positioned in a uniform magnetic field of magnitude 1.5 N/C so that the plane of the loop makes an angle of 65° with the magnetic field. Find the flux passing through the circle loop.

Answers

The flux through the circle loop of wire is determined as 7.96 N/C.m².

What is the flux passing through the circle loop?

The flux through the circle loop of wire is calculated by applying the following formula.

Ф = EA cosθ

where;

B is the magnitude of the electric  fieldA is the area of the circular loopθ is the direction of the loop

The area of the wire is calculated as follows;

A = πr²

A = π (2 m)²

A = 12.57 m²

The flux through the circle loop of wire is calculated as;

Ф = EA cosθ

Ф = 1.5 x 12.57 x cos (65)

Ф = 7.96 N/C.m²

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a. At a constant temperature, the volume of the vessel is compressed to half. How will the rms speed of gas in it change? [2] Air at temper 9727​

Answers

According to the information, the rms speed of the gas will remain unchanged.

How will the rms speed of gas in it change?

The rms (root-mean-square) speed of a gas is directly proportional to the square root of its temperature. In this scenario, the temperature is constant, which means that the rms speed of the gas will also remain constant.

The change in volume does not have a direct effect on the rms speed of the gas, as long as the temperature remains unchanged. Therefore, the rms speed of the gas in the vessel will not change.

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Explain/Describe how atoms in domains determine whether a material is magnetic or not. (Please help this is due today)

Answers

Answer:

In a material, the magnetic behavior depends on the alignment of magnetic moments of the atoms. Magnetic moments are generated by the motion of the electrons in the atoms. When the magnetic moments of atoms in a material are aligned in a specific pattern, it creates a magnetic field which results in the material being magnetic.

In many materials, the magnetic behavior arises due to the alignment of magnetic domains, which are regions of atoms with magnetic moments aligned in the same direction. When many domains with aligned magnetic moments are present in a material, the material becomes magnetic.

The magnetic behavior of a material depends on the number of electrons and the arrangement of those electrons in the atoms. In particular, for an atom to have a magnetic moment, it must have unpaired electrons, meaning electrons that are not paired with another electron with the opposite spin. When these unpaired electrons in the atoms are aligned, they generate a magnetic moment. If all electrons are paired, there will not be a net magnetic moment, so the material will not be magnetic.

So, in summary, the magnetic behavior of a material is determined by the alignment of magnetic moments of atoms. When the magnetic moments of many atoms in a material align in the same direction, it creates a magnetic field, leading to a material being magnetic. This alignment is usually present in magnetic domains consisting of atoms with unpaired electrons.

The longest bar in a set of orchestra bells is 30.0 cm, and its fundamental frequency is 198 Hz.
Find the lengths of other bars in the set if they have frequencies of (a) 220 Hz, (b) 264 Hz, (c)
330 Hz, (d) 396 Hz, and (e) 440 Hz. Assume all bars have the same thickness and cross section.

Answers

The lengths of the other bars on the set of they have frequencies of 220 Hz, 264 Hz, 330 Hz, 396 Hz, and 440 Hz would be 27.0 cm, 22.7 cm, 18.2 cm, 15.0 cm,  and 13.6 cm. respectively.

Length of bars

The fundamental frequency of a vibrating bar is inversely proportional to its length, so we can use the following formula to calculate the length of each bar in the set:

L = L₀ × f₀ / f

where L₀ is the length of the longest bar (30.0 cm), f₀ is its fundamental frequency (198 Hz), f is the frequency of the bar we want to find, and L is the length of that bar.

(a) For a frequency of 220 Hz:

L = L₀ × f₀ / f = 30.0 cm × 198 Hz / 220 Hz ≈ 27.0 cm

So the length of the bar that produces a frequency of 220 Hz is approximately 27.0 cm.

(b) For a frequency of 264 Hz:

L = L₀ × f₀ / f = 30.0 cm × 198 Hz / 264 Hz ≈ 22.7 cm

So the length of the bar that produces a frequency of 264 Hz is approximately 22.7 cm.

(c) For a frequency of 330 Hz:

L = L₀ × f₀ / f = 30.0 cm × 198 Hz / 330 Hz ≈ 18.2 cm

(d) For a frequency of 396 Hz:

L = L₀ × f₀ / f = 30.0 cm × 198 Hz / 396 Hz ≈ 15.0 cm

(e) For a frequency of 440 Hz:

L = L₀ × f₀ / f = 30.0 cm × 198 Hz / 440 Hz ≈ 13.6 cm

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In the Skycoaster amusement park ride, riders are suspended from a tower by a long cable. A second cable then lifts them until they reach the starting position indicated in (Figure 1). The lifting cable is then released, and the riders swing down the circular arc shown. If the four riders have a total mass of 330 kg

, what is the tension in the left cable just before release?

Answers

Tension in the left cable is 4395.9 N.

What is meant by tension ?

Tension is defined as a pulling force that acts along the length of a flexible medium like rope or cables.

Here,

The total mass of the riders is given, m = 330 kg

Let the tension in the left cable be T₁ and that in the right cable be T₂.

From the figure,

T₁ cos 15 = T₂ cos 26

T₁ = T₂ cos 26/cos 15

Also,

T₁ sin15 + T₂ sin 26 = mg

Substituting values,

(T₂ cos 26/cos 15) sin 15 + T₂ sin 26 = 330x 9.8

0.241 T₂ + 0.438 T₂ = 3234

0.679 T₂ = 3234

T₂ = 4762.8 N

Therefore, Tension in the left cable, T₁ = 0.930x 4762.8

         T₁ = 4395.9 N

Hence, The tension in the left cable is 4395.9 N

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Your question was incomplete. Attaching the image here.

In the Skycoaster amusement park ride, riders are suspended from a tower by a long cable. A second cable

A uniform electric field ai + bj intersects a surface of area A. What is the flux through this area if the surface lies (a) in the yz plane? (b) in the xz plane? (c) in the xy plane?

Answers

Answer:

Explanation:

The electric flux through a surface is given by the dot product of the electric field and the area vector of the surface:

Φ = E · A

where Φ is the electric flux, E is the electric field, and A is the area vector of the surface.

(a) If the surface lies in the yz plane, its area vector is in the x direction. Therefore, the area vector can be written as A = Ax i, where Ax is the magnitude of the area. The electric field is given as E = ai + bj. Therefore, the flux through the surface is:

Φ = E · A = (ai + bj) · (Ax i) = aAx

(b) If the surface lies in the xz plane, its area vector is in the y direction. Therefore, the area vector can be written as A = Ay j, where Ay is the magnitude of the area. The electric field is given as E = ai + bj. Therefore, the flux through the surface is:

Φ = E · A = (ai + bj) · (Ay j) = bAy

(c) If the surface lies in the xy plane, its area vector is in the z direction. Therefore, the area vector can be written as A = Az k, where Az is the magnitude of the area. The electric field is given as E = ai + bj. Therefore, the flux through the surface is:

Φ = E · A = (ai + bj) · (Az k) = 0

since the dot product of perpendicular vectors is zero.

I need help with this please​

I need help with this please

Answers

Answer:

Rahman was a little bit 5AM but I think he was just try and the guy was the one who just got a a??ze and you know how are you to me that you

Based on the diagram, what is the difference in how economic decisions are made in a mixed economy and a market economy? E.1.2
How Economic Decisions are Made
By the Government,
command
economy
By the Consumers
mixed
economy
market.
economy
O Consumers make all economic decisions in a mixed economy, while the government makes all economic decisions in a market economy.
Government and consumers make economic decisions in a mixed economy, while consumers make economic decisions in a market economy.
Government makes all economic decisions in a mixed economy, while consumers make all economic decisions in a market economy.
O Consumers make economic decisions in a mixed economy, while consumers and government make economic decisions in a market economy.

Answers

Based on the diagram, the correct statement is: Government and consumers make economic decisions in a mixed economy, while consumers make economic decisions in a market economy.

How do we explain?

In a mixed economy, economic decisions are made by both the government and consumers.

The government plays a significant role in regulating and influencing economic activities through policies, regulations, and interventions.

In market economy, economic decisions are primarily made by consumers. The market forces of supply and demand dictate the allocation of resources, production levels, and pricing.

The freedom to buy and sell whatever they choose is what ultimately determines how commodities and services are produced and distributed.

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Based on the diagram, what is the difference in how economic decisions are made in a mixed economy and

What are two important factors to consider when describing the effect of an applied force on an object’s motion

Answers

The magnitude of the applied force and the mass of the object, together determine how an object's motion will change in response to the applied force.

When describing the effect of an applied force on an object's motion, two important factors to consider are:

Magnitude of the Force: The magnitude or strength of the applied force determines the amount of acceleration or deceleration experienced by the object. According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. A greater force will result in a greater acceleration, while a smaller force will result in a smaller acceleration. Additionally, the direction of the force relative to the object's initial motion will determine if it speeds up, slows down, or changes direction.

Mass of the Object: The mass of the object being acted upon is another crucial factor. As mentioned earlier, according to Newton's second law, the acceleration of an object is inversely proportional to its mass. This means that for a given force, an object with a larger mass will experience a smaller acceleration compared to an object with a smaller mass. In simpler terms, it requires more force to accelerate a heavier object compared to a lighter object.

These two factors, the magnitude of the applied force and the mass of the object, together determine how an object's motion will change in response to the applied force.

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when 82.5 calories of heat are given to a metallic rod of mass 150g its temperature raises from 20 degree celcius to 25 degree Celsius. what is the specific heat of the metal.​

Answers

A 150-g metallic rod with a specific heat of 0.11 cal/g.°C absorbs 82.5 calories of heat and its temperature increases from 20 °C to 25 °C.

What is specific heat?

It is the heat required to raise the temperature of the unit mass of a given substance by a given amount (usually one degree).

A metallic rod of mass 150 g (m) absorbs 82.5 cal of heat (Q) and its temperature raises from 20 °C to 25 °C. We can calculate the specific heat (c) of the metal using the following expression.

Q = c × m × ΔT

c = Q / m × ΔT

c = 82.5 cal / 150 g × (25 °C - 20 °C) = 0.11 cal/g.°C

A 150-g metallic rod with a specific heat of 0.11 cal/g.°C absorbs 82.5 calories of heat and its temperature increases from 20 °C to 25 °C.

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Which method is responsible for the transfer of heat in the atmosphere ?
A. conduction
B. radiation
C. convection

Answers

Answer:

B

Explanation: Because conduction is when an object touches another object and convection happens with boiling water or the water cycle, the particles/water fall and rise.

on a time line.
Different categories of events should be
O A) grouped together
OB) indistinguishable from one another
O C) distinguished from one another
D) next to one another

Answers

Answer:

D

Explanation:

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what is deficiency diseases 3. Why are molten metal chlorides used as electrolytes rather than using other molten salts An imbalance of ______ can cause conflict in a marriage, according to the conflict perspective. Mrs. Dawson rode her bicycle at a constant rate of 15 miles per hour. Which graph below shows the distance Mrs. Dawson traveled? Decreases in the estimated standard deviation have what effect on required sample size? a. no effect. b. indeterminate. c. increases. d. decreases. is a metabolic process present in all major lineages of eukaryotes and evidence suggests that anaerobic organisms never carried out that process nor did their ancestors chegg The difference between moderate anxiety and severe anxiety Jocelyn is going to invest $610 and leave it in an account for 12 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Jocelyn to end up with $1,220? 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What number represents this Study the scenario.An ice block in motion begins to slide up an icy hill. The system consists of the block, the hill, and the Earth. (There is no friction.)Which choice best describes the changes in kinetic and potential energy?The kinetic energy decreases as the block moves up the hill because it slows down. The potential energy increases because the blocks height relative to its starting position increases. The total energy remains constant.The kinetic energy increases as the block moves up the hill because it speeds up. The potential energy increases because the blocks height relative to its starting position increases. The total energy increases. The kinetic energy remains constant as the block moves up the hill because its speed remains constant. The potential energy remains constant because the block remains on the ground the entire time. The total energy remains constant.The kinetic energy remains constant as the block moves up the hill because its speed remains constant. The potential energy increases because the blocks height relative to its starting position increases. The total energy increases. 20 pointsIn the figure below, which answer choice correctly identifies the name of two line segments?A . B .C. D How does the diversity of religious groups and ethnic groups impact life in Southwest Asia today outline the assumptions underlying the concept of circular flowtwo closed economy? the receipt custody accounting and distribution of top secret information within the command is the responsibility of what individual Assume that A discovers that B, A's elderly neighborly who cannot drive, needs transportation for a doctor's appointment twice a week. A adjusts their schedule and, for the six months remaining in B's life, A drives B to the doctor twice a week. Each time A does so, B expresses thanks. No explicit or implicit agreement was ever reached between A and B about A transporting B to the doctor. A can successfully sue B's estate for breach of contract if the estate does not compensate A for the reasonable value of A's services in driving B twice a week for B's doctor's appointment. True False Question 2 (Mandatory) (1 point) One requirement of a valid offer is that the offeror must have a serious intention to be bound by the terms of the offer. True False Another requirement for a valid offer is that its terms must be reasonably certain, or definite, so that the parties and court can ascertain the terms of the contract if the offer is effectively accepted. True False Question 4 (Mandatory) (1 point) Assume X extends a valid offer only to Y. Z, who is in the vicinity, overhears the offer and informs X that Z accepts the offer. Z 's acceptance is not effective because no valid offer was extended to Z. True False Assume C extends a valid offer to D. While the offer is pending, C dies. C's death will terminate the offer. True False Question 6 (Mandatory) (2 points) Assume E extends a valid offer to F and F rejects the offer. A day later, F informs E that F has changed their mind and is now accepting the offer. F's acceptance will not be effective because F's earlier rejection terminated the offer. True False Assume G extends a valid offer to H and H responds with a counteroffer. H's counteroffer terminated G's offer. True False Question 8 (Mandatory) (1 point) Assume J has extended a valid offer to K on January 1, 2012. K, as of October 1, 2020, has neither accepted nor rejected the offer. In all likelihood, the offer has been terminated by the passage of time. True False Revocation of an offer is effective at the time the offeree learns of the revocation. True False Question 10 (Mandatory) (1 point) A valid acceptance requires that the offeree communicate unequivocal assent to the terms of the offer. True False A valid acceptance of the offer to enter into a unilateral contract is effective at the time the offeree performs the act called for in the offer (e.g. return of a missing pet). True False Question 12 (Mandatory) ( 2 points) When a valid offer calls for the acceptance to be in the form of a promise (which would constitute a bilateral contact if accepted), a valid acceptance will be effective at the time the offeree transmits acceptance by a reasonable mode of communication provided that the offer is silent as to how it must be accepted. True False As in the case of Dennis v. Tonya, a valid acceptance can become effective even though the act constituting effective acceptance occurred after the time the offeror transmitted a communication to revoke the offer. True False Question 14 (Mandatory) (2 points) In the case of Hamer v. Sidway, the court found that there was no legally sufficient consideration to support the uncle's promise to pay the nephew if he did not smoke, drink, or gamble for a certain period of time because the nephew's refraining from drinking. smoking, or gambling provided no tangible benefit of legal value to the uncle. True False The peppercorn theory of consideration always requires an analysis of whether the amount of consideration is fair. True False Read these sentences from the opinion piece. Which three sentences include linking words?Select the Hint button to read The U.S. Wins!: The Nine-man Rowing Crew and the Olympics of 1936 again.(A) However, the U.S. team surged ahead and won!(B) In an unexpected surprise, the U.S. Olympic committee told the team it had to raise $5,000 in a week to pay for its trip to Berlin.(C) In fact, a German filmmaker filmed the entire Olympics to prove how great Germany was.(D) It describes the many difficulties the U.S. rowing team faced.(E) After reading this book, readers will know a little more about history and feel very proud of this U.S. Olympic team. LO Set up a system of equations to solve each of the following problems. a. A tire store sold two types of tires, a sports tire and an all-season tire. The sum of six times the sports tires and five times the all-season tires is 93, and the difference between three-quarters of the sports tires and two-thirds of the all- season tires is zero. For the store manager, calculate the number of each type of tire sold in one day. b. The college theatre collected $1300 from the sale of 450 tickets. If the tickets were sold for $2.50 and $3.50, how many tickets were sold at each price? c. A jacket and two pairs of pants together cost $175. The jacket is valued at three times the price of one pair of pants. What is the value of the jacket? d. Three cases of white Bordeaux and five cases of red Bordeaux together cost $438. Each case of red Bordeaux costs $6 less than twice the cost of a case of white Bordeaux. Determine the cost of a case of each type.