The planet Saturn is approximately 10 times farther away from the Sun than the Earth is. Given this, how much sunlight does it receive compared to the Earth?A) 1/1,000th B) 1/10,000thC) 1/100thD) 1/10th
Answers
The planet Saturn is approximately 10 times farther away from the Sun than the Earth and is 1/100th of what the Earth receives. Thus, option c is correct.
A planet's luminosity is proportional to the amount of light it absorbs from the Sun. The quantity of light that a planet gets is inversely proportional to the square of its distance from the Sun.
As a result, Saturn gets less light from the Sun than Earth. The distance from the Sun to Saturn is about ten times farther away than the distance from the Sun to Earth.
The distance between Earth and the Sun is 1 astronomical unit. Then Saturn is 10 astronomical units away from the Sun. Saturn is 10 times farther from the Sun than the Earth.
The light that falls on Saturn's surface is spread over a much larger area than the light that falls on Earth. Saturn is ten times farther from the Sun than Earth, but it is also ten times larger than Earth.
As a result, the brightness of the light that Saturn receives is only 1/100th of that of the Earth. Therefore, the correct answer is (C) 1/100th.
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Related Questions
What waves are transverse waves that disturb electromagnetic fields?
Answers
Radio waves are transverse waves that disturb electromagnetic fields.
What is electromagnetic fields?Electromagnetic field, a feature of space brought on by the movement of an electric charge. Only an electric field will be generated by a stationary charge in the surrounding area. A magnetic field is also created if the charge is in motion.
A changing magnetic field can also create an electric field. An electromagnetic field is created by the mutual interaction of electric and magnetic fields. This field is thought to exist independently of any charges or currents (a stream of moving charges) to which it may be related. It is possible to think of this electromagnetic field in some situations as an electromagnetic energy-transporting wave.
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A collection of a fixed number of elements (called components) arranged in n dimensions ( n >= 1) is called a(n) ____.
Answers
A collection of a fixed number of elements (called components) arranged in n dimensions ( n >= 1) is called a(n) n- dimensional array
an array of dimensions gives Information about the material composition for each point in the heterogeneous part is stored in N.
Similar to a one-dimensional array, a two-dimensional array is represented graphically as a grid (or table) with rows and columns.
A big gathering of objects or people is referred to as a "array," especially one that is eye-catching, inspires admiration, or has been arranged in a particular way: The spread of food on the table was magnificent. They were seated in front of numerous microphones and cameras. Related words and phrases are part of the SMART Vocabulary. Things in groups and collections
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According to Newton’s first law of motion, which of the following objects will change its motion?
A.A train pulling on another train, each with the same amount of force.
B.A bike rider on a smooth and level road, pedaling at a constant rate.
C.A chair sitting on the floor with balanced forces acting in opposite directions.
D.A ball rolling across the floor with friction acting in the opposite direction.
A ball rolling across the floor with friction acting in the opposite direction.
Answers
Answer:
D.
Explanation:
the friction will cause the ball to stop moving which is a change
Logic Circuits and Truth Tables Questions
Solve problems related to the given circuit
a) (1+1+1+1+1 = 5 marks) Write down the equivalent logic
expression (simplification is NOT required).
Showing all
Answers
However, for complex circuits, the word count may go up to 100-150.
The circuit of the given problem is not provided. However, in general, the equivalent logic expression can be obtained for a given circuit through various methods such as Karnaugh maps or Boolean algebraic manipulation. To write the equivalent logic expression, the circuit needs to be analyzed and the logic gates' function should be determined.
For example, consider the circuit given below:
Here, the input signals are A and B. The output signal is C. The circuit consists of two AND gates and an OR gate.
The logic gate function can be summarized as follows:
A AND B = Q1
Q1 OR A = Q2
Q2 OR Q1 = C
Thus, the equivalent logic expression can be written as:
C = (A AND B) OR A
The number of words required to write the equivalent logic expression may vary based on the complexity of the circuit. Generally, it is recommended to use concise language and avoid lengthy sentences. Around 10-15 words may be sufficient to write a simple equivalent logic expression. However, for complex circuits, the word count may go up to 100-150.
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Given a logic circuit problem, we need to write down the equivalent logic expression without simplification.
To find the equivalent logic expression, we analyze the given circuit and identify the logical operations performed at each stage. We then express these operations using logical operators such as AND, OR, and NOT.
The unique keywords in the explanation part are: logic circuit, logic expression, simplification, logical operations, logical operators.
Note: Since the specific details and components of the given circuit are not provided, it is not possible to provide a precise answer without further information.
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someone explain with steps please
Answers
Angle between \(\vec{A}\) and \(\vec{B}\) is 150° .
Now read the question .
The resultant of both vectors is perpendicular to \(\vec{B}\)
Look at the attachment
Angle between resultant and vector A be \(\theta\)
Let's use maths
\(\\ \sf\longmapsto \theta+90°=150°\)
\(\\ \sf\longmapsto \theta=150-90\)
\(\\ \sf\longmapsto \theta=60°\)
Answer:
Hope it will help you a lot.
What is the wavelength of a wave if the length consisting of 3 crests and 2 trough measure 10m?
Answers
The wavelength of the wave is 2 meters.
To determine the wavelength of a wave, we need to know the distance between corresponding points on the wave. In this case, we have been given the lengths of three crests and two troughs, which is equivalent to one complete wave cycle.
Let's assume that the distance between each crest or trough is the same. If the length of three crests and two troughs is 10 meters, then we can calculate the length of one complete wave cycle by dividing 10 meters by 5 (3 crests + 2 troughs):
Length of one complete wave cycle = 10 meters / 5 = 2 meters
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Suppose a spectral line of hydrogen, normally at 500 nm when measured in a lab on Earth, is observed in the spectrum of a star to be at 500.3 nm. This is called a red shift because the wavelength is longer (and red is on the long-wavelength side of the visible spectrum). How fast is the star moving away from Earth? Give your answer in m/s. Hint: follow example 5.6. Compare in particular to the "Check your learning" calculation, and note that larger Δλ means larger speed.
Answers
The star is moving away from Earth at a velocity of 1.8 x 106 m/s.
The Doppler Effect describes the shift in wavelength of a wave when the source is moving in relation to the observer. The shift can be observed in sound waves, light waves, and other waves.
The Doppler Effect can be used to determine the velocity of objects moving away from an observer, as in the case of stars moving away from Earth.
The velocity of a star moving away from Earth can be determined using the equation:
v = Δλ/λ x c, Where v is the velocity of the star, Δλ is the shift in wavelength of the spectral line, λ is the wavelength of the spectral line measured in the lab on Earth, and c is the speed of light (3.00 x 108 m/s).
In this case, the shift in wavelength of the spectral line is Δλ = 500.3 nm - 500 nm = 0.3 nm.
The wavelength of the spectral line measured in the lab on Earth is λ = 500 nm.
Plugging in these values to the equation above: v = Δλ/λ x cv = (0.3 nm / 500 nm) x (3.00 x 108 m/s) = 1.8 x 106 m/s.
Therefore, velocity of star 1.8 x 106 m/s.
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True or False – All transformations fit the Law of Conservation of Energy.
Answers
Answer:
The correct answer is true.
A new tube is used each time a blood sample is tested.Explain why valid results are only obtained if each tube is identical
Answers
Valid results are only obtained if each tube is identical because; effective comparison of the tested blood each time can only be achieved if the testing model is constant in which case each tube is identical.
Discussion:
During scientific tests such as that described in the question; it is important to keep all parameters of testing constant.
This is so because, the utmost motive of the testing model is to draw comparison. It is on this note that valid results are only obtained if each tube is identical.
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What difference in recoil would you expect in firing a solid ball versus firing a hollow ball from the same cannon? Explain.
Answers
The difference in recoil between firing a solid ball and a hollow ball from the same cannon would largely depend on the weight and size of the projectiles.
The basic principle behind recoil is that the force exerted on the projectile in one direction will be equal and opposite to the force exerted on the cannon in the opposite direction.
Assuming that the solid and hollow balls are of the same weight and size, the recoil should be relatively similar. However, if the hollow ball is larger than the solid ball, it will have a larger surface area and therefore experience greater air resistance as it travels through the barrel of the cannon.
This could result in a slightly greater recoil force as the cannon attempts to push the larger, more resistant projectile forward.
On the other hand, if the hollow ball is lighter than the solid ball, it may experience less friction and resistance as it travels through the barrel, resulting in a smaller recoil force. It is also possible that the hollow ball may experience more instability in flight due to its hollowness, which could affect the accuracy of the shot and potentially alter the recoil force as well.
Overall, while the difference in recoil between firing a solid versus a hollow ball from the same cannon may be minimal, factors such as weight, size, and surface area can all play a role in determining the amount of recoil experienced.
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QUESTION:
(i) Is a pair of scissors has the same class of lever as a wheelbarrow? Explain
(ii) Explain the different between a first class lever and a second class lever.
Answers
Answer:
I don't know why you are asking me?
GIVEN:
WEIGHT ARM MOMENT
(LB) (IN) (LB-IN)
Empty weight 1,495.0 101.4 151,593.0
Pilot and passengers 380.0 64.0 ----
Fuel (30 gal
usable no reserve) ----- 96.0 ----
The CG is located how far aft of datum?
Answers
The CG is located 99.76 inches aft of the datum.
To determine center of gravity (CG), we need to use formula:
CG = (Σ(weight x arm))/Σ(weight)
where Σ(weight x arm) is sum of weight times arm for each component, and Σ(weight) is sum of all weights.
Weight of pilot and passengers = 380.0 lb
Arm of pilot and passengers = 64.0 in
Weight of fuel = total weight - empty weight - weight of pilot and passengers = 1875.0 - 1495.0 - 380.0 = 0 lb
Arm of fuel = 96.0 in
Calculate the CG:
CG = (1495.0 x 101.4) + (380.0 x 64.0) + (0 x 96.0) / (1495.0 + 380.0 + 0) = 99.76 in aft of datum
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A slope of length 50 m rises to a height of 10 m above the ground. An effort of 100 N is needed to push a 250 N object up the ramp. Calculate: 1. AMA 2. VR 3. efficiency
Answers
1.) The AMA is 2.5
2.) The VR is 5.
3.) The efficiency is 50%.
Given that the object has a weight of 250 N and the effort needed to push it up the ramp is 100 N, we can calculate the AMA as follows:
AMA = Load / Effort
AMA = 250 N / 100 N
AMA = 2.5
Therefore, the AMA is 2.5.
To calculate the VR, we need to find the distance moved by the effort and the distance moved by the load. The distance moved by the effort is the length of the ramp, which is 50 m. The distance moved by the load is the height it is raised, which is 10 m. Therefore, we have:
VR = Distance moved by effort / Distance moved by load
VR = 50 m / 10 m
VR = 5
Therefore, the VR is 5.
To calculate the efficiency, we need to find the work done by the load and the work done by the effort. The work done by the load is:
Work done by load = Load x Distance moved by load
Work done by load = 250 N x 10 m
Work done by load = 2,500 J
The work done by the effort is:
Work done by effort = Effort x Distance moved by effort
Work done by effort = 100 N x 50 m
Work done by effort = 5,000 J
Therefore, the efficiency is:
Efficiency = (Load x Distance moved by load) / (Effort x Distance moved by effort)
Efficiency = (2,500 J) / (5,000 J)
Efficiency = 0.5 or 50%
Therefore, the efficiency is 50%.
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You are at a rest stop 250 miles north of New York City. You then travel north at a constant velocity of 65 miles per hour for 2.0 hours. Describe your location relative to New York City.
Answers
65 * 2
130 miles
Since you are already 250 miles from NYC, just add the added distance.
130 + 250 = 380
You are 380 miles north of NYC.
Study the distance-time graph, showing the distances that eight different things cover in 120 seconds or less. The letters below correspond to the lines on the graph. For each object, calculate the average speed, and then match it with the closest correct answer.
A:
B:
C:
D:
E:
F:
G:
H:
Answers
Answer:
This question appear incomplete
Explanation:
This question appear incomplete because there is no list of closest correct answer there. Although can still be well attempted.
The formula to be used here is
average speed = distance ÷ time
The unit of speed here would be meters per second (m/s). However, some of the lines do not really fall on a measurable line on the graph and can only be "best assumed".
A: distance is 1600 meters
time appear to be 4 seconds (definitely less than 5 seconds according to the graph).
speed = 1600 ÷ 4
speed = 400 m/s
B: distance is 1600 meters
time appear to be 18 seconds (definitely less than 20 seconds according to the graph)
speed = 1600 ÷ 18
speed = 88.89 m/s
C: distance is 1600 meters
time is 65 seconds
speed = 1600 ÷ 65
speed = 24.62 m/s
D: distance is 1600 meters
time is 105 seconds
speed = 1600 ÷ 105
speed = 15.24 m/s
E: distance is 1100 meters
time is 120 seconds
speed = 1100 ÷ 120
speed = 9.17 m/s
F: distance is 500 meters
time is 120 seconds
speed = 500 ÷ 120
speed = 4.17 m/s
G: distance appear to be 250 meters
time is 120 seconds
speed = 250 ÷ 120
speed = 2.08 m/s
H: distance appear to be 50 meters
time is 120 seconds
speed = 50 ÷ 120
speed = 0.42 m/s
The average speed for each object are:
1. The average speed of A is 400 m/s
2. The average speed of B is 88.89 m/s
3. The average speed of C is 24.62 m/s
4. The average speed of D is 15.24 m/s
5. The average speed of E is 9.17 m/s
6. The average speed of F is 4.17 m/s
7. The average speed of G is 2.08 m/s
8. The average speed of H is 0.33 m/s
Average speed is defined as the total distance travelled divided by the total time taken to cover the distance.
Average speed = Total distance / total timeWith the above formula, we can obtain the average speed for each object as follow:
1. Determination of average speed of A
Total distance = 1600
Total time = 4 s
Average speed =?Average speed = 1600 / 4
Average speed of A = 400 m/s2. Determination of average speed of B
Total distance = 1600
Total time = 18 s
Average speed =?Average speed = 1600 / 18
Average speed of B = 88.89 m/s3. Determination of average speed of C
Total distance = 1600
Total time = 65 s
Average speed =?Average speed = 1600 / 65
Average speed of C = 24.62 m/s4. Determination of average speed of D
Total distance = 1600
Total time = 105 s
Average speed =?Average speed = 1600 / 105
Average speed of D = 15.24 m/s5. Determination of average speed of E
Total distance = 1100
Total time = 120 s
Average speed =?Average speed = 1100 / 120
Average speed of E = 9.17 m/s6. Determination of average speed of F
Total distance = 500
Total time = 120 s
Average speed =?Average speed = 500 / 120
Average speed of F = 4.17 m/s7. Determination of average speed of G
Total distance = 250
Total time = 120 s
Average speed =?Average speed = 250 / 120
Average speed of G = 2.08 m/s8. Determination of average speed of H
Total distance = 40
Total time = 120 s
Average speed =?Average speed = 40 / 120
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The temperature of a sample of iron with a mass of 10.0 g changed
from 50.4°C to 25.0°C with the release of 114.3 J of heat. What is the
specific heat of iron
Answers
Answer:
Q = mc(θ₂-θ₁)
47 calories = 10 g *c*(50.4 - 25)
47cal = 10*c* 25.4
47 /(10*25.4) = c
0.185 = c
Specific heat of iron = 0.185 cal/g°C
Explanation:
A car accelerates uniformly from rest to a speed of 21.1 km/h in 6.5 s.
Find the distance it travels during this time.
Answer in units of m.
Answers
Jake walked 10 meters in 5
seconds. What was his speed?
A. 2 m/s
B. 0.5 m/s
C. 50 m/s
D. 15 m/s
Answers
Answer:
\(\boxed {\boxed {\sf A. \ 2 \ m/s}}\)
Explanation:
Speed is the distance traveled per unit of time, or how fast an object is moving.
It is calculated by dividing the distance by the time.
\(s= \frac{d}{t}\)
Jake traveled 10 meters in 5 seconds.
d= 10 m t= 5 sSubstitute the values into the formula.
\(s= \frac{10 \ m}{5 \ s}\)
Divide.
\(s= 2 \ m/s\)
Jake's speed was 2 meters per second and choice A is correct.
URGENT HELP PLS
1. Given a force-displacement curve as shown in the figure, what does the area of the region enclosed by the curve represent?
A. The force acting on the object
B. The displacement of the object
C. The magnitude of the coefficient of static friction
D. The work done on the object by the force
Answers
Explanation:
work done is equals to force into displacement in the direction of force
Ans: D
How does a telescope work
Answers
Answer:
Most telescopes, and all large telescopes, work by using curved mirrors to gather and focus light from the night sky. ... The bigger the mirrors or lenses, the more light the telescope can gather. Light is then concentrated by the shape of the optics. That light is what we see when we look into the telescope.
Explanation:
Answer:
Early telescopes focused light using pieces of curved, clear glass, called lenses. However, most telescopes today use curved mirrors to gather light from the night sky. The shape of the mirror or lens in a telescope concentrates light. That light is what we see when we look into a telescope.
how to work one
Aim the telescope at an astronomical target. Pick a bright object, such as the moon or a star. Raise or lower the tube, and move it from side to side to point the telescope in the target’s general direction. Look through the finder scope. Adjust the orientation of the telescope to center the object in the finder scope.
hope it helped have a nice day <3 ^_^
a woman stands on a scale in a moving elevator. her mass is 66.0 kg, and the combined mass of the elevator and scale is an additional 784 kg. starting from rest, the elevator accelerates upward. during the acceleration, the hoisting cable applies a force of 9030 n. what does the scale read (in n) during the acceleration?
Answers
The scale will read 8,996 N during the acceleration.
The force applied to the woman by the scale is the sum of her weight and the weight of the elevator and scale (66.0 kg + 784 kg = 850.0 kg). This can be calculated using the equation
Force = Mass x Acceleration (F = ma).
The acceleration is given by the force applied (9030 N) divided by the total mass (850.0 kg), which gives a result of 10.6 m/s2.
We then multiply this acceleration by the mass of the woman (66.0 kg) to get the force applied to the woman by the scale, which is 696 N.
We then add this to the weight of the elevator and scale (784 kg) to get the total force that the scale reads, which is 8,996 N.
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two objects in thermal equilibrium with a third object are in thermal equilibrium with each other."" which law of thermodynamics is this?
Answers
The zeroth law of thermodynamic states that if two systems are in thermal equilibrium in equilibrium. with a third system, they are. with each other".
One of the four fundamental laws of thermodynamics is the zeroth law. It offers a stand-alone definition of temperature that excludes the second law's concept of entropy. Ralph H. Fowler created the law in the 1930s, many years after the first, second, and third laws had gained widespread acceptance.
According to the zeroth law, if two thermodynamic systems are in thermal equilibrium with one another and with a third system separately, then all three systems are in thermal equilibrium with one another.
The mathematical representation of thermodynamics depends on the zeroth law. It mathematically transforms the relationship between systems' thermal equilibrium into an equivalence relation, which can symbolize the equality of a particular quantity related to each system.
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A balloon is rubbed against a sweater. Which of the following describes the result of this interaction?(1 point)
The outer shell electrons move from the balloon to the sweater.
The fibers of the sweater lose electrons.
The balloon becomes positively charged.
The free electrons in the balloon decreases.
Answers
Fibers of the sweater lose electrons because electrons are leave it.
One of the ways of charging a body is by friction. Charges are transferred from one body to another when an object is rubbed against another. This is charging by friction.
A sweater has negative charges hence when the balloon is rubbed against the sweater, fibers of the sweater lose electrons because electrons are leave it.
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What is the transfer of electricity in a motor?
Answers
Answer:
Electrical motor
Explanation:
Converts electrical energy to mechanical energy
Advanced Wireless Services (AWS) is a wireless telecommunications spectrum band used for mobile voice and data services, video, and messaging. The AWS band uses frequencies in several segments: from 1695 to 2200 MHz. a) Determine the corresponding range of wavelengths used by the AWS mobile devices. b) To what region/band of electromagnetic spectrum does the range belong
Answers
Given data
*The given frequency is
\(f_1_{}=1695\text{ MHz}=1695\times10^6\text{ Hz}\)*The another given frequency is
\(f_2=2200\text{ MHz=}2200\times10^6\text{ Hz}\)*The given speed of light is c = 3.0 × 10^8 m/s
(a)
The formula for the wavelength is given as
\(\lambda_1=\frac{c}{f_1}\)Substitute the known values in the above expression as
\(\begin{gathered} \lambda_1=\frac{(3\times10^8)}{(1695\times10^6)^{}} \\ =0.176\text{ m} \end{gathered}\)The another wavelength for the another frequency is calculated as
\(\begin{gathered} \lambda_2=\frac{c}{f_2} \\ =\frac{(3.0\times10^8)}{(2200\times10^6)} \\ =0.136\text{ m} \end{gathered}\)(b)
Radio spectrum is an electromagnetic spectrum where the frequency range belongs of wireless telecommunication.
The urban legend of the car thief is an example of what theme?
Societal Change
A Common Fear
A Cautionary Tale
A Prank
Answers
The urban legend of the car thief is an example of A Cautionary Tale.
What is the Cautionary Tale?A cautionary tale makes reference to a given tale aimed at the warning the person of some type of danger, which is generally used to alert about a given behavior and may be very useful to modify a behavior pattern in children.
Therefore, with this data, we can see that A cautionary tale is based on warning and can help to modify certain behavior in c children depending on the ability to create conscious.
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The populations P (in thousands) of a particular county from 1971 through 2014 can be modeled byP = 71.7e0.0345twhere t represents the year, with t = 1 corresponding to 1971.(a) Use the model to complete the table. (Round your answers to the nearest whole number.)YearPopulation1980101240 Correct: Your answer is correct.1990142949 Correct: Your answer is correct.2000201843 Correct: Your answer is correct.2010285000 Correct: Your answer is correct.(b) According to the model, when will the population of the county reach 350,000?2018 Incorrect: Your answer is incorrect.
Answers
ANSWERS
(a) Year - Population
• 1980 - 101,240
,• 1990 - 142,949
,• 2000 - 201,843
,• 2010 - 285,000
(b) 2016
EXPLANATION
(a) The population (in thousands) each year is given by,
\(P=71.7\cdot e^{0.0345t}\)If t = 1 represents year 1971, then for each year we have to find the difference between the year and 1970.
For year 1980,
\(P=71.7\cdot e^{0.0345(1980-1970)}\approx101.240\)The population is 101,240.
For year 1990,
\(P=71.7\cdot e^{0.0345(1990-1970)}\approx142.949\)The population is 142,949.
For year 2000,
\(P=71.7\cdot e^{0.0345(2000-1970)}\approx201.843\)The population is 201,843.
For year 2010,
\(P=71.7\cdot e^{0.0345(2010-1970)}\approx285.000\)The population is 285,000.
(b) In this problem we're given the population 350,000 and we have to find in what year the county will reach that population. In other words, we have to find t and then add that to 1970 to find the year.
Let's solve for t,
\(P=71.7\cdot e^{0.0345t}\)Divide both sides by 71.7,
\(\begin{gathered} \frac{P}{71.7}=\frac{71.7}{71.7}\cdot e^{0.0345t} \\ \frac{P}{71.7}=e^{0.0345t} \end{gathered}\)Apply natural logarithm to both sides,
\(\begin{gathered} \ln \frac{P}{71.7}=\ln e^{0.0345t} \\ \ln \frac{P}{71.7}=0.0345t \end{gathered}\)Divide both sides by 0.0345,
\(\begin{gathered} \frac{\ln \frac{P}{71.7}}{0.0345}=\frac{0.0345t}{0.0345} \\ \frac{\ln\frac{P}{71.7}}{0.0345}=t \end{gathered}\)And finally replace P and solve. Remember that P is in thousands of years, so we have to replace it by 350,
\(t=\frac{\ln \frac{350}{71.7}}{0.0345}=45.955\approx46\)This is 46 years after 1970,
\(1970+46=2016\)Let's see what's the population in 2016 to check the answer,
\(P=71.7\cdot e^{0.0345(2016-1970)}\approx350.546\)It is a bit more than 350,000. But let's see what's the population in 2015,
\(P=71.7\cdot e^{0.0345(2015-1970)}\approx338.658\)In 2015 population of the county won't reach 350,000. Thus, the county will have a population of 350,000 in 2016
Which of these chemical formulas is balanced?
Answers
The balanced formula is B.
if a plunge pool undercuts the support of the resistant rock layer above and causes it to collapse, then the
Answers
If a plunge pool undercuts the support of the resistant rock layer above and causes it to collapse, then this can result in a potentially dangerous situation, the collapse can cause erosion of the surrounding soil and vegetation, leading to further instability of the area.
The collapse of the resistant rock layer can lead to a landslide or rockfall, which can cause significant damage to the surrounding area and pose a threat to anyone in the vicinity. Additionally, the collapse can cause erosion of the surrounding soil and vegetation, leading to further instability of the area.
To prevent such occurrences, it is important to properly design and maintain plunge pools. The proper design includes ensuring that the pool is not located near a resistant rock layer or if it is, that measures are put in place to prevent the pool from undercutting the rock.
This may include reinforcing the rock layer, installing retaining walls or other support structures, or moving the pool to a different location.
Regular maintenance of the plunge pool is also crucial to prevent erosion and undercutting of the rock layer. This may involve monitoring the pool for signs of erosion or instability and taking corrective action if necessary, such as repairing or reinforcing the surrounding area.
Overall, it is important to ensure that plunge pools are designed and maintained properly to prevent the undercutting of resistant rock layers and potential collapses, which can have serious consequences.
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A person who walks for exercise produces the position-time graph shown. Calculate the average velocity, including sign, for (a) segment A. (b) segment B. (c) segment C, and (d) segment D. +1.25 +1.00
Answers
The average velocity for (a) segment A is 1.67 m/s (positive), (b) segment B is 0 m/s (no velocity), (c) segment C is -1.67 m/s (negative), and (d) segment D is 3.33 m/s (positive).
The average velocity can be obtained using the following formula:
Average velocity = change in position / change in time
Where change in position is the difference between final position and initial position. Change in time is the difference between final time and initial time.
Segment A: Initial position = 0 m
Final position = 25 m
Initial time = 0 s
Final time = 15 s
Change in position = final position - initial position
= 25 m - 0 m
= 25 m
Change in time = final time - initial time
= 15 s - 0 s
= 15 s
Average velocity of segment A = change in position / change in time
= 25 m / 15 s
= 1.67 m/s (positive velocity, because the person is moving in the positive direction)
Segment B: Initial position = 25 m
Final position = 25 m
Initial time = 15 s
Final time = 30 s
Change in position = final position - initial position
= 25 m - 25 m
= 0 m
Change in time = final time - initial time
= 30 s - 15 s
= 15 s
Average velocity of segment B = change in position / change in time
= 0 m / 15 s
= 0 m/s (no velocity, because the person is not moving)
Segment C: Initial position = 25 m
Final position = 0 m
Initial time = 30 s
Final time = 45 s
Change in position = final position - initial position
= 0 m - 25 m
= -25 m
Change in time = final time - initial time
= 45 s - 30 s
= 15 s
Average velocity of segment C = change in position / change in time
= -25 m / 15 s
= -1.67 m/s (negative velocity, because the person is moving in the negative direction)
Segment D:
Initial position = 0 m
Final position = 50 m
Initial time = 45 s
Final time = 60 s
Change in position = final position - initial position
= 50 m - 0 m
= 50 m
Change in time = final time - initial time
= 60 s - 45 s
= 15 s
Average velocity of segment D = change in position / change in time
= 50 m / 15 s
= 3.33 m/s (positive velocity, because the person is moving in the positive direction)
The position-time graph is given below:
To learn more on position-time graph:
https://brainly.com/question/25225415
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