The 90% confidence interval for the true average assembly time for a board is (34.19 minutes, 35.81 minutes).
What is average?
The ratio of a sum of the values in a given set to all the values in the set is the mean value, which is the definition of the average. The average formula has numerous practical uses. If we were asked to determine the average male height throughout India or the average age of the men and women in a group, we would add up all the data and divide it by the total number of data points. In mathematics, the central value of the a set of data is expressed as the average of a list of data.
A) The 90% confidence interval for the true average assembly time for a board is (34.19 minutes, 35.81 minutes).
B) The 90% confidence interval for the true variance of assembly time is (3.42 minutes, 7.06 minutes).
C) The 90% confidence interval for the true standard deviation of assembly time is (1.84 minutes, 2.65 minutes).
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Mass of the Milky Way's Halo. The Large Magellanic Cloud orbits the Milky Way at a distance of roughly 160,000 light-years from the galactic center and a velocity of about 300 km/s. Use these values in the orbital velocity law (Mathematical Insight 19.1) to estimate the Milky Way's mass within 160,000 light-years from the center. (The value you obtain is a fairly rough estimate because the orbit of the Large Magellanic Cloud is not circular.)
The approximate mass of the galaxy within 160,00 light-years of the center is 2.0x10^42 kilograms.
To find the mass within 160,000 light-years of the center of the galaxy, we will use the orbital velocity law:
M(r)= (rv^2)/G
To use this law, we need to convert the radius and the speed of the Large Magellanic Cloud into meters and meters per second. We are told that the orbital radius is 160,000 light-years. Since 1 light-year is 9.46x10^15 meters, this is the same as 1.51x10^21 meters. The speed is given as 300 kilometers per second, which we can easily convert to 3.0x10^5 meters per second. Putting the given values into the orbital velocity law, we learn that the approximate mass of the galaxy within 160,00 light-years of the center is 2.0x10^42 kilograms, or about 1 trillion times the mass of the Sun.Hence, mass of the galaxy within 160,00 light-years of the center is 2.0x10^42 kilograms.
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a kangaroo carries her 0.57 kg kg baby in her pouch as she bounds across the ground. as she pushes off the ground, she is accelerating upward at 30 m/s2m/s2.
The solution is 22.6 based on the above statement and child's apparent weight is 3 times greater than its actual weight.
How do you mean by accelerating up?to move more quickly: to pick up pace. The automobile accelerated gradually. In recent months, change has happened faster. to move through the grades more quickly than is typical: to pursue an accelerated educational plan.
What is an illustration of accelerating up?For instance, if a car is traveling at a constant speed and turning a corner, it is accelerating since its direction is shifting. The acceleration increases with turning speed. Therefore, when velocity varies, whether in quantity (an increase or reduction in speed), direction, or both, there is an acceleration.
Briefing:
[tex]\sum F_y=ma_y=F_n-mg\\\because F_n=W_{appar}\\\\\therefore ma_y=W_{appar}-mg\\W_{appar}=ma_y+m[/tex]
[tex]\begin{gathered}W_{a p p a r}=m \times\left[a_y+g\right] \\W=0.57 \mathrm{~kg} \times 9.8 \mathrm{~m} / \mathrm{s}^2 \\W_{a p p a r}=54.1 \mathrm{~N}\end{gathered}[/tex]
[tex]W_{\mathrm{appar\ }}=m\times\left[a_y+g\right]\\W=0.57\mathrm{\ }kg\times39.8\mathrm{\ }m/s^2\\W_{\mathrm{appar\ }}=22.6\mathrm{\ }N[/tex]
The baby's actual weight is:
[tex]\begin{matrix}W=mg=0.57\times9.8\\W=5.5\mathrm{\ }N\\\end{matrix}\\\begin{matrix}&W_{\mathrm{appar\ }}=\frac{W_{\mathrm{appar\ }}}{W}\times W=\frac{22.6\mathrm{\ } N}{5.5\mathrm{\ }N}\times W=4.1W\\\\&W_{\mathrm{appar\ }}-W\\\\&4.1W-W=3.1W\\\end{matrix}[/tex]
Thus, her child's apparent weight is 3 times greater than its actual weight.
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To determine an athlete's body fat, she is weighed first in air and then again while she's completely underwater. It is found that she weighs 690 n when weighed in air and 40. 0 n when weighed underwater. What is her average density?.
1.06 g/mL is her average density
Fb = 690 N - 40 N
Fb = 650 N
water displaced = 650 N / 9.8m/s^2
water displaced = 66.3 kg
water density =1 kg/L,
volume = mass/density:
V = 66.3 kg / 1kg/L = 66.3 L
athlete V = 66.3 L
F = mg
m = 690 N/ 9.8m/s^2
m = 70.41 kg
average density = 70.41 kg / 66.3 L L
average density = 1.06 kg/L
= 1.06 g/mL
Density is defined as a material substance's mass per unit volume. Density is described by the equation d = M/V, where d stands for density, M for mass, and V for volume. Grams per cubic centimeter is the unit of measurement for density. For instance, compared to Earth's density of 5.51 grams, water has a density of 1 grams per cubic centimeter. Another way to express density is in kilograms per cubic meter (in meter-kilogram-second or SI units)
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how many columns will the relation region have in the relational schema mapped from the eaglerun trucking dispatcher er diagram? group of answer choices 6 5
Usually, the entity will have the attributes as their columns, and the relationships will have the primary keys of entities as their columns.
What are ER diagrams?An Entity Relationship (ER) Diagram is a form of flowchart that shows the relationships between "entities" like people, things, or concepts within a system. ER Diagrams are most frequently used in the disciplines of software engineering, business information systems, education, and research to build or troubleshoot relational databases. They are also known as ERDs or ER Models, and they use a predetermined collection of symbols to represent the interconnectedness of entities, relationships, and their qualities. These symbols include rectangles, diamonds, ovals, and connecting lines. They have verbs for relationships and nouns for entities, mirroring the grammatical framework.The REGION relation will have 2(Two) columns named Region ID, and Region Name. Usually, the entity will have the attributes as their columns, and the relationships will have the primary keys of entities as their columns.To learn more about ER diagrams, refer to
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what is the mass of a solid iron wrecking ball of radius 18 cm? density of iron is 7800 g/l. answer in kg.
The unknown mass of solid wrecking ball is 545.21
What is mass?
mass is a quantitative measure of inertia , a fundamental property of all matter . mass depends on the number and kind of atoms.
It is a dimensionaless quantity.
Sol-
As per the given question
220 g of water added to 90°c
Mass of water=10°C
Tempreture of the mixture =33°C
Unknown mass-
m1 (n-t)= m2(t-b)
220(90-33)=m2(33-10)
:- (we can also do multiple of cp but as both side of the cp fluid unit are same so it's not needed)
220×57=m2 (23)
m2= 220×57/23
m2 =545.21
Thus the unknown massof water is 545.21 .
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on a part-time job, you are asked to bring a cylindrical iron rod of density 7800 kg/m3 , length 92.8 cm and diameter 2.05 cm from a storage room to a machinist. calculate the weight of the rod, w . assume the free-fall acceleration is g
On a part-time job, you are asked to bring a cylindrical iron rod of density 7800 kg/m3 , length 92.8 cm and diameter 2.05 cm from a storage room to a machinist, the weight of rod w is 23.41 N .
How is the weight calculated?Given ,
density (d) = 7800 kg/m³
D = 2.05 cm = 0.0205 m
r = D/2 = 0.0205 / 2 =0.01025 m
h = 92.8 cm = 0.928 m
The weight is calculated by ,
W = m × g
But, to find mass (m)
m = d × V
The volume of the rod, because is cylindrical, is,
V = π × r² × h
∴ V = 3.14 × (0.01025)² × 0.928
∴ V = 3.14 × 1.051 × 10⁻⁴ × 0.928
∴ V = 3.0625 × 10⁻⁴
Now to calculate mass,
m = d × V
∴ m = 7800 × 3.0625 × 10⁻⁴
∴ m = 2.3887 Kg
Now, for calculating weight
W = m × g
∴ W = 2.3887 × 9.8
∴ W = 23.41 N
∴ The weight of the rod W assuming the free-fall acceleration is 23.41 N .
What is weight?The weight of an object is the force exerted on it by gravity. It is define weight as a vector quantity, the force of gravity acting on an object. Some define weight as a scalar quantity that is the magnitude of gravity.Can learn more about weight calculation from https://brainly.com/question/15685221
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a0.155 kg arrow is shot from ground level, upward at 31.4 m/s. what is its kinetic energy (ke) when it is 30.0 m above the ground ?
The kinetic energy (KE) of a 0.155 kg arrow that is shot from ground level, upward at 31.4 m/s, when it is 30.0 m above the ground is 30.85 J
Assuming air friction is negligible,
a = - 9.8 m / s²
u = 31.4 m / s
s = 30 m
v² = u² + 2 a s
v² = 31.4² + ( 2 * - 9.8 * 30 )
v² = 985.96 - 588
v² = 397.96 m / s
KE = 1 / 2 m v²
KE = 1 / 2 * 0.155 * 397.96
KE = 0.0775 * 397.96
KE = 30.85 J
Therefore, the kinetic energy ( KE ) when it is 30.0 m above the ground is 30.85 J
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Use the worked example above to help you solve this problem. A steel strut near a ship's furnace is 1.80 m long, with a mass of 1.59 kg and a cross-sectional area of 1.00 x 10-4 m2. During operation of the furnace, the strut absorbs thermal energy in a net amount of 2.50 x 105 j. (a) Find the change in temperature of the strut. ос (b) Find the increase in length of the strut. m (c) If the strut is not allowed to expand because it's bolted at each end, find the compressional stress developed in the strut. Pa
Change in temperature is 367 . 13 ° C,increase in length of the strut is 0 . 00828 m and compressional stress developed in the strut is 8. 077 x 10⁸ Pa
a ) Q = CmΔT
ΔT =Q/cm = 2 5 0 x 1 0⁵ J/( 4 4 8 J / kq c ) (1 .52 kg )
= 367 . 13 ° C
( b ) ΔL = XL₀ΔT
= ( 1 1 x 10 - 6 0 c ) X ( 2 . 05 m ) ( 367.13 0 )
= 0 . 00828 m
C ) f = YΔL/L = ( 2 x 10 +"Pa) * 0.00828
2 .05
= 0.00807 7 X 10"
= 8. 077 x 10⁸ Pa
Any type of change that puts strain on the body, mind, or emotions is considered to be stressful. Your body will react with stress whenever something needs your focus or attention. To some extent, everyone is under stress. However, how you handle stress has a significant impact on how you feel overall. The degree of stress that may be experienced generally increases with temperature change. Thermal stress is the name for the stress that results when a temperature-based force is applied. It happens when a change in temperature causes an object to grow or shrink.
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i always thought nothing could escape from a black hole, yet astronomers are locating black hole candidates by the x rays they emit. how can x rays be
X-rays are a shape of electromagnetic radiation, just like seen light. not like mild, but, x-rays have better power and might bypass through most objects.
X-rays are normally produced in X-ray tubes through accelerating electrons via a capability difference and directing them onto a goal fabric, i.e. tungsten. The incoming electrons launch X-rays as they slowdown in the goal.
X-rays are a type of radiation called electromagnetic waves. X-ray imaging creates pictures of the interior of your frame. The pix show the parts of your frame in exclusive sun shades of black and white. that is due to the fact specific tissues absorb one-of-a-kind quantities of radiation.
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Answer:
B is the answer edge 2023 <3
Explanation:
A kangaroo
of mass 90kg
jumps with an initial velocity of
5m/s. Calculate the maximum:
gravitational energy of the
kangaroo when it reaches its
highest point?
The maximum gravitational energy of the kangaroo of mass 90kg jumps with an initial velocity of 5 m /s when it reaches its highest point is 1125 J
v² = u² + 2 a s
At the highest point,
v = 0
u = 5 m / s
a = - 9.8 m / s²
0 = 5² + 2 ( - 9.8 ) s
19.6 s = 25
s = 1.28 m
U = m g h
m = 90 kg
U = 90 * 9.8 * 1.28
U = 1125 J
Therefore, the maximum gravitational energy of the kangaroo when it reaches its highest point is 1125 J
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Is the power to tax an implied power?.
Power to tax is an implied power.
Implied powers are the kind of political powers granted to the United States government that aren't stated in the constitution. These implied powers are needed for the function of any kind of governing body.
Creating a national bank, regulating commerce, collecting tax, raising an army, establishing post offices are some of the implied powers.
Expressed powers are the kind of powers that are directly granted to the federal government found in the constitution.
Few examples of expressed powers are the power to declare war, regulate foreign and interstate commerce, maintain military, conduct foreign relations, etc.
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a double-slit interference pattern is observed on a screen 1.0 m behind two slits spaced 0.30 mm apart. from the center of one particular fringe to the center of the ninth bright fringe from this one is 1.6 cm. what is the wavelength of light?
The wavelength of the light is 530 nm.
Given that
Distance D= 1.0 m
Distance between slits d= 0.30 mm
Number of fringe = 9
Width = 1.6 cm
Using formula of angle
tan θ = y/d
tan θ = 1.6 × [tex]10^{-2}[/tex]
θ = [tex]tan^{-1}[/tex] ( 1.6 × [tex]10^{-2}[/tex] / 1)
θ = 0.91 degree
By Using formula of wavelength
d sinθ = mλ
λ = d sinθ/m = 0.30 × [tex]10^{-3}[/tex] × sin0.91 /9
λ = 5.29 × [tex]10^{-7}[/tex]
Hence, The wavelength of the light is 530 nm.
The distance over which a periodic wave's shape repeats is known as its wavelength. It is a property of both traveling waves and standing waves, as well as other spatial wave patterns. It is the distance between two successive corresponding locations of the same phase on the wave, such as two neighboring crests, troughs, or zero crossings. The spatial frequency is the reciprocal of the wavelength. The Greek letter lambda () is frequently used to denote wavelength.
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A solid cylinder (i  mr2/2) has a string wrapped around it many times. when i release the cylinder, holding on to the string, the cylinder falls and spins as the string unwinds. what is the downward acceleration of the cylinder as it falls?
The downward acceleration of the solid cylinder as it falls will be 2g/3.
Let the mass of cylinder be m and radius of it is r.
So, the moment of inertia of cylinder, I= 1/2 mr²
Formula: torque = moment of inertia angular × acceleration
force × displacement = (1/2)mr² × (a/r)
We know that linear acceleration(a) = radius × angular acceleration
T × r = (1/2) × m×r×a
T= 1/2 ma
Net force= m×a
Weight - Tension = m×a
mg - (1/2)ma = ma
mg = (3/2)ma
a = 2g/3
Hence, the downward acceleration of the cylinder as it falls will be 2g/3.
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What is dark matter and why is it important?.
The Universe's most enigmatic, non-interacting substance is dark matter. The spinning of galaxies, cluster dynamics, and the biggest scale-structure in the entire Universe can all be attributed to its gravitational forces.
The mysterious motions of stars within galaxies will be able to be explained when dark matter is completely comprehended. Whether the universe is open (continues to expand), closed (expands and then collapses), or flat will depend on the presence of dark matter (expands and then stops).
It is estimated that dark energy is responsible for 73% of the universe's total mass and energy. Dark matter makes up another 23% of the universe, leaving only 4% of it to be made up of ordinary matter like stars, planets, and people.
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What should be added to the topmost circular contour lines and why?
Curves with equal elevation points should be added to the topmost circular contour lines because they show the form of the land surface on the map.
What are contour lines?Contour lines are described as lines drawn on a map with equal elevation points, so elevation would be constant if you followed the contour line physically.
The characteristics of contour lines include:
Along plane surfaces, contour lines are straight and parallel. Contour lines are perpendicular to lines of steepest slopes.For summits or depressions, contour lines most close upon themselves.Learn more about contour lines at: https://brainly.com/question/29467019
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according to aristotle for someone to perform a virtuous action, three criteria must be true of them. these criteria are listed in the fourth chapter of book 2 of the nicomachean ethics
To perform a virtuous action, three criteria must be true of them are
They know they are behaving in the right way.They choose to behave in the right way for being virtuous.Their behavior shows the part of a fixed and virtuous disposition.This is from the book 2 of the nicomachean ethics, the fourth chapter.
What is a virtuous action?A virtuous action is an action of a kind or certain quality. A virtuous person must also have certain characteristic and be in a certain frame of mind.
According to Aristotle in the book II of the nicomachean ethics, chapter IV, performing a virtuous action must meet three criteria mentioned above.
The action is called virtuous when it is a kind of action that a virtuous person would perform. However, someone who performs a virtuous action is not necessarily theirselves virtuous.
The virtuous person knows well the action is the right thing to do in the conditions and they do it for the right motive.
In conclusion, a person becomes virtuous through the performance of virtuous actions.
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What is the kinetic energy of an automobile with a mass of 1250kg?.
The kinetic energy of an automobile with a mass of 1250 kg traveling at a speed of 11 m/s will be 75,625 [tex]m/s^{2}[/tex]
Kinetic energy = 1/2 * mass * [tex]velocity^{2}[/tex]
= 1/2 * m * [tex]v^{2}[/tex]
= 1/2 * 1250 * [tex]11^{2}[/tex]
= 75,625 [tex]m/s^{2}[/tex]
The kinetic energy of an automobile with a mass of 1250 kg traveling at a speed of 11 m/s will be 75,625 [tex]m/s^{2}[/tex]
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The kinetic energy of an automobile with a mass of 1250kg moving with the speed of 11 m/s will be 75625 J
Given,
Mass of the automobile, m = 1250 kg
The velocity at which the automobile is moving, v = 11 m/s
Kinetic energy the energy that an object has while it is in motion and is given by;
K.E = [tex]\frac{1}{2}[/tex] m[tex]v^{2}[/tex]
= 1/2×(1250) × 11×11
= 75625 J
Hence, the kinetic energy will be 75625 J.
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what is the radius of the event horizon for a black hole with a mass of 7.0 times the mass of the sun
g say you tie a thick, dense rope to a thin, less dense string. if you send a single wave pulse through the string, will it be transmitted through to the rope/and or reflected back into the string? also, which orientation will any transmitted or reflected pulses have relative to the original pulse?
If you send a single wave pulse through the string, it will be transmitted through to the rope.
Let's consider a thin rope attached to a thick rope, with every rope held at opposite ends via people. And suppose that a pulse is introduced through the person conserving the top of the skinny rope. If that is the case, there will be an incident pulse visiting within the less dense medium toward the boundary with a more dense medium.
A part of the strength carried through the incident pulse is transmitted into the thick rope. The disturbance that keeps shifting to the right is called the transmitted pulse. A part of the energy carried via the incident pulse is reflected and returns toward the left giving up the thin rope. The disturbance that returns to the left after bouncing off the boundary is called the reflected pulse.
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What energy is similar to solar energy?.
A source than won't run out of energy is considered to be a renewable supply. They are self-renewing and natural, and often leave no or very little carbon imprint.
Why is energy considered renewable?converting fossil fuels into energy while not releasing any greenhouse gases and reducing some types of air pollution. reducing dependency on imported fuels and increasing the variety of energy sources. creating new jobs in manufacturing, installation, as well as other sectors while expanding the economy.
what is The effectiveness of renewable energyIn terms of energy savings, renewable energy typically outperforms non-renewable energy. Without relying on such a finite or, we may recycle the energy we receive from the sun, wind, and hydroelectric tur exhaustible resourcebines. After the electricity is generated, we must then consider the final product.
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Fig 8-50 shows a plot of potential energy U versus position x of a 0.90 kg particle that can travel only along an x axis. (Nonconservative forces are not involved). Three values are UA = 15.0j, UB = 35.0j, and UC =45.0j. The particle is released at x = 4.5 m with an initial speed of 7.0 m/s, headed in the negative x direction. (a) if the partcle can reach x = 1.0 m, what is its speed there, and if it cannot, what is its turning point? What are the (b) magnitude and (c) direction of the force on the particle as it begins to move to left of x = 4.0m? Suppose instead, of the particle headed in thee positive x direction when it is released at x = 4.5m at speed 7.0m/s. (d) if the particle can reach x = 7.-m, what is its speed there, and if it cannot, what is its turning point? What are the (e) magnitude and (f) direction of the force on the particle as it begins to move to the right of x = 5.0 m?
Turning point is 2.05J,force is 10N,force is positive then it points in the positiveX-direction. total energy is 41.1855J and F DIRECTION IS -VE X DIRECTION
A)
At x = 4.5 m potential energy is U1 = 15 J
Initial kinetic energy isK1 = (1/2)mu2
m = 0.9 kg
u= 7 m/s
then K1 = (1/2)*0.9*(7)2J= 22.05 J
Then the total energy is : T =15+22.05=37.05 J
Let Kinitic energy be K2 Then total energy is :
T = U2 +K2 = 37.05J
35 J+K2 = 37.05J
Then K2 = 2.05 JThis is greater than zero and hence particle reaches the point X=1m
then K2 = (1/2)mv2 = 2.05J
(1/2)*1.1(v)2J =2.05 J
solve for v
b)we know that force F = -dU/dX
= -(35-15)/2-4 = +10 N
c)
As force is +ve then the itd points in the +ve X-direction.
d)
At X = 7m then potential energy is U3 = 45J
X = 7m .at turning point kinetic energy of theball is zero.
then turning point will be between x = 5 mand x = 6 m
total potential energy U4 is15-f(dx)
here dx = x-5
we know that f = -dU/dX
At X = 5 m
dx = 6-5 = 1m
dU = 45-15 = 30 J
THEN f = -30/1 = -30N
Then TOTAL POTENTIAL ENERGY IS U4 = 15+30(x-5
but total potential energy is equal total energy 41.180J
then
15+30(x-5)= 41.1805J
solve for x
e)
force at x = 5 m is f = -30 N
F DIRECTION IS -VE X DIRECTION
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if a senator voted against a gun-control bill that he agreed with but that his constituency did not support, he exemplifies a trustee style of representation.
If a senator voted against a gun-control bill that he agreed with but that his constituency did not support, he exemplifies a trustee style of representation.
Delegates is to see themselves as perfect agents of others, they have been elected to do the bidding of those who sent them to the legislature.
Trustee, a member of congress who represents constituents interest while also taking into account national, collective, and moral concerns that sometimes cause the member to vote against the preference of a majority of constituents, being responsible.
The Senate is smaller and allows for more debate, and they also have the ability to filibuster, which can kill legislation. In the House, committees are more responsible for the bills and there is less debate.
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which location on a beam would receive the max lateral deflection when a force is applied to the free end and why?
A cantilever beam's free end exhibits the most slope and deflection, whereas the clamped end exhibits neither slope nor deflection.
The midspan of a simply supported beam under symmetric loading conditions is where the maximum deflection occurs. The beam supports are where you can see the steepest slope. Where the slope is zero, the maximum deflection happens.
From the perspective of structural analysis:-
The deflection shouldn't go over the permitted limit.When analyzing uncertain structures, the deflection curve is extremely helpful.Drawing the deflection curve makes finding reactions and moments simple.To know more about deflection curve -
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select the correct statement(s) regarding crosstalk interference on adsl. a. fext is of greater concern over next to service providers b. adsl provides asymmetric data paths, therefore neither next nor fext are of concern to service providers c. service providers must ensure a proper acr ratio to avoid next or fext interference d. since fdd is used on adsl, crosstalk issues are not possible
This is the accurate statement out of all the ones offered because adsl offers asymmetric digital subscriber, hence neither next nor fext are a problem to service providers having same wavelength.
Asymmetric digital subscriber line, or ADSL, is a form of digital subscriber line technology that offers an asymmetric data path while providing a symmetric digital subscriber path for next and next. As a result, neither of these companies will offer ADSL services. ADSL is a digital method that uses PCM to sample analogue signals digitally. Pulse code modulation, or PCM-PCM, is a technique for digitally converting a single analogue signal into a digitally sampled signal.
When packets from A to B take a different path than other packets, this is known as asymmetric routing. In physics, the wavelength is the length over which a periodic wave repeats, or its spatial period. It is the separation between consecutive equivalent points on a wave that are in the same phase. Is called as wavelength.
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The measurement of ________ compares the density of urine to the density of water.
The measurement of specific gravity compares the density of urine to the density of water.
Specific gravity, also known as relative density, is the ratio of a substance's density to that of a standard substance.
Urine specific gravity (USG) is a measurement of the particle concentration in urine as well as the density of urine in comparison to the density of water. Measuring USG is a quick and easy way to determine a patient's hydration status as well as kidney function. The more concentrated the urine, the higher the urine specific gravity.
Your healthcare provider will consider the density of your urine in relation to the density of water. In other words, the specific density of water is 1.000. If your kidneys are working properly, your urine specific gravity should be between 1.002 and 1.030.
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at what speed do a bicycle and its rider, with a combined mass of 110 kgkg , have the same momentum as a 1600 kgkg car traveling at 5.8 m/sm/s ?
Answer:
[tex]v_1=84.36\frac{m}{s}[/tex]
Explanation:
Momentum (p) is found by [tex]p=mv[/tex]
[tex]p_1=m_1v_1\\p_2=m_2v_2[/tex]
So, the momentum of the objects will be the same when [tex]m_1v_1=m_2v_2[/tex].
So, the speed at which the momentums are equal is represented by [tex]v_1=\frac{m_1v_1}{m_2}[/tex].
[tex]m_1=110kg\\m_2=1600kg\\v_2=5.8\frac{m}{s}\\v_1=\frac{(1600kg)(5.8\frac{m}{s})}{110kg}\\v_1=84.36\frac{m}{s}[/tex]
billy is riding the train north from miami to fort lauderdale. he puts his book down on the floor as the train is coming into the station. the train slows rapidly to a stop. according to newton's first law of motion, what happens to the book? (1 point) nothing happens. the book slides backward rapidly. the book slides forward. the book slides backward slowly.
The book would be found to slide forward.
What happens to the book?We know that from the Newton first law, it is clear that a body that is in a state of rest or uniform motion would continue in that state unless it is acted upon by an external force.
In this case, we can see that the book was dropped on the floor of the train and the train is now seen to slow down rapidly until it gradually comes to a stop.
From the Newton first law, the book would have to move forward as it suddenly acted upon by a huge force.
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Answer the following questions using the rules described in the presentation above to support your answer. 1) 0.0230 has how many significant figures? 2) How should you report 0.125 +1.25 = ?3) How should you report 3.2 * 2.45 = ?
The number 0.0230 has three significant figures, 0.125+1.25 will be reported as 1.375 and 3.2 x 2.45 will be reported as 7.8.
1. According to the standard rules, in the non-zero number, the numbers before the nonzero digits after the decimal are counted as significant figures.
So, 0.0230 has 3 significant figures.
2. In addition, of two decimal numbers, the final answer is always reported till the highest significant figure, hence,
0.125 + 1.25 will be reported as 1.375.
3. In multiplication of two decimal numbers, the final answer is reported till the least significant figure,
This is why, 2.45 x 3.2 s reported as 7.8.
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A car tire has a radius of 15 inches. Suppose the car is traveling at 60 miles per hour (1 mile = 5,280 feet). What is the approximate rate of spin, in revolutions per minute, of the tire? round the answer to the nearest whole number. The rate of spin is approximately revolutions per minute.
A car tire has a radius of 15 inches. The rate of spin approximately in revolutions per minute is 672 revolutions per minute.
Given that, radius = 15 inches
Speed of the car = 60 miles per hour = 60*5280 = 316800 feet per hour = 31680*12 inches per hour = 3801600/60 inches per minute = 63360 inches per minute.
Angular velocity ω = ?
We know that, v = r ω
where, v is linear velocity
r is radius
Making ω as subject,
ω = v/r = 63360/15 = 4224 radians per minute
= 4224/ 2π revolutions per minute = 672 revolutions per minute
Thus, the rate of spin is approximately 672 revolutions per minute.
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determine the force in member bd and the components of the reaction at c if the force applied at a is 330 n. (round the final answers to their nearest whole number.)
The force in member BD is 330 N, and the reaction at C consists of two components: 130 N along the x-axis and 200 N along the y-axis.
What is force?
A force is indeed an influence that really can alter an object's motion according to physics. A motion of an object to mass to accelerate when it changes its velocity, such as when it moves away from rest. An intuitive way to describe force is as a push or a pull. A force is a vector quantity because it has both direction and magnitude. It is calculated using the newton SI unit (N). Force is denoted by the letter F. (formerly P). The net force acting on an object is proportional to the frequency that its momentum changes over time, according to Newton's second law in its original formulation.
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