Answer:
\(4=-6m+b\)Explanation: The equation of a line in general form has the following form:
\(\begin{gathered} y(x)=mx+b\Rightarrow(1) \\ m=\frac{\Delta x}{\Delta y} \\ b=\text{ Y-intercept} \end{gathered}\)The provided coordinate point is:
\((x,y)=(-6,4)\)\(4=-6m+b\)Plugging these coordinates in (1) gives the following:
How are base units and derived units related?
Answer:
SI derived units
Other quantities, called derived quantities, are defined in terms of the seven base quantities via a system of quantity equations. The SI derived units for these derived quantities are obtained from these equations and the seven SI base units.
Explanation:
Hope this helps :D
Can you help me plzz ?
We are given:
Mass of the Crate(m) = 71 kg
Applied force(F) = 577 N
Resolving the applied force:
To solve this problem, we will first make a free-body diagram (attached)
The Applied force has been resolved into 2 components denoted by a thinner line and 'g' is the acceleration due to gravity
We found the values by using basic trigonometry
Finding the Normal Force:
Normal force is equal and opposite to the net force applied on the ground. So, we will subtract the vertical component of the applied force from the weight of the crate.
Normal force = mg - F*Sin(27°)
Normal force = [(71)*(9.8)] - [ (577)(0.454) ] [g = 9.8 m/s²]
Normal Force = 433.84 N
An injured monkey sits perched on a tree branch 4.5 m above the ground, while a wildlife veterinarian is kneeling down in the bushes 85.5 m away attempting to subdue the monkey with a tranquilizer gun. The vet knows that the moment the gun fires, the monkey will be frightened and fall down from the branch. At what angle up from the ground must the veterinarian aim the gun so that the tranquilizer dart will hit the falling monkey
Answer:
3.03°
Explanation:
Given that
Height of the tree branch, h = 4.5 m
Distance of the veterinarian away, d = 85.5 m
The vet is to aim at the monkey at a particular angle. If we consider the force of gravity that will be acting on the dart. Then the angle that will be needed will be calculated as this.
So the angle is
Tan θ = opposite / adjacent
Tan θ = 4.5 m/ 85.5 m
Tan θ = 0.053, then
θ = Tan^-1 (0.053)
θ = 3.03°
Therefore, the angle needed is 3.03°
a question was asked by a teacher to a student. She gave the student a jumbled word and told him to make words out of it. The jumbled word is gzeysktqix. Now you know what to do. see ya!
When the teacher asked the student to make words out of the jumbled word gzeysktqix, the student was being tested on his ability to unscramble words. Unscrambling words is the process of taking a word or series of letters that are out of order and rearranging them to form a word that makes sense.
When trying to unscramble a word, it is important to look for any patterns that can help identify smaller words within the jumbled letters. This can help make the process easier and quicker. For example, in the jumbled word gzeysktqix, one might notice that the letters "sktqix" appear together.
This could indicate that these letters could potentially form a word. By looking at the remaining letters, one could notice that the letters "g", "z", "e", and "y" could also form smaller words. After some rearranging, the letters can be unscrambled to form the words "sky", "zig", "sex", and "yet". These are just a few examples, as there are likely many other words that can be formed from this jumbled word.
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the mass of the velociraptor and cage together is 175 kg. What is the gravitational potential energy added when when the velociraptor and cage is lifted from the ground to a height of 9 m?
The gravitational potential energy added when the velociraptor and cage is lifted from the ground to a height of 9 m is approximately 15,998.95 joules.
What is Potential Energy?
Potential energy is a form of energy that is stored in an object due to its position or configuration in a system. It is the energy that an object has the potential to possess, or the ability to do work, as a result of its position or state.
The gravitational potential energy (GPE) added when the velociraptor and cage is lifted from the ground to a height of 9 m can be calculated using the formula:
GPE = mgh
Where m is the mass of the velociraptor and cage, g is the acceleration due to gravity (approximately 9.81 m/\(s^{2}\)), and h is the height lifted.
Given that the mass of the velociraptor and cage together is 175 kg, and the height lifted is 9 m, we can substitute these values into the formula:
GPE = mgh
GPE = (175 kg) x (9.81 m/\(s^{2}\)) x (9 m)
GPE = 15,998.95 J (joules)
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need help asap.......................
Answer:
vt3bryhtevy4g24vu5hy4
How are magnetic fields like vectors?
Answer:Magnetic fields from two sources add up as vectors at each point, so the strength of the field is not necessarily the sum of the strengths1. Magnetic fields are vectors, which means they have direction as well as size. Therefore, the sum of two magnetic fields is not simply the sum of their magnitudes2.
Explanation:
A crate with a mass of 35.0 kg is pushed with a horizontal force of 150 N. The crate moves at a constant speed across a level, rough surface a distance of 5.85 m
(a) The work done by the 150 N force is 877.5 Joules.
(b) The coefficient of kinetic friction between the crate and the surface is approximately 0.437.
To answer this problem, we must take into account the work done by the applied force as well as the work done by friction.
(a) The applied force's work may be estimated using the following formula:
Work = Force * Distance * cos(theta)
where the force is 150 N and the distance is 5.85 m. Since the force is applied horizontally and the displacement is also horizontal, the angle theta between them is 0 degrees, and the cosine of 0 degrees is 1.
As a result, the applied force's work is:
Work = 150 N * 5.85 m * cos(0) = 877.5 J
So, the work done by the 150 N force is 877.5 Joules.
(b) Frictional work is equal to the force of friction multiplied by the distance. The work done by friction is identical in amount but opposite in direction to the work done by the applied force since the crate travels at a constant speed.
The frictional work may be estimated using the following formula:
Work = Force of Friction * Distance * cos(theta)
The net force applied on the crate is zero since it is travelling at a constant pace. As a result, the friction force must be equal to the applied force, which is 150 N.
Thus, the work done by friction is:
Work = 150 N * 5.85 m * cos(180) = -877.5 J
Since the work done by friction is negative, it indicates that the direction of the frictional force is opposite to the direction of motion.
The coefficient of kinetic friction may be calculated using the following equation:
Friction Force = Kinetic Friction Coefficient * Normal Force
The normal force equals the crate's weight, which may be computed as:
Normal Force = mass * gravity
where the mass is 35.0 kg and the acceleration due to gravity is approximately 9.8 m/s^2.
Normal Force = 35.0 kg * 9.8 m/s^2 = 343 N
Now, we can rearrange the equation for the force of friction to solve for the coefficient of kinetic friction:
Force of Friction = coefficient of kinetic friction * Normal Force
150 N = coefficient of kinetic friction * 343 N
coefficient of kinetic friction = 150 N / 343 N ≈ 0.437
As a result, the kinetic friction coefficient between the container and the surface is roughly 0.437.
In summary, the work done by the 150 N force is 877.5 Joules, and the coefficient of kinetic friction between the crate and the surface is approximately 0.437.
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According to Newton's second law, if you increase the mass but the force is the same, what happens to the acceleration?
Audio Recording 50 KB
acceleration decreases
Оа
Ob
Ос
acceleration increases
acceleration remains the same
Simple Answer. Mass cannot change.
Force=Acceleration
Assuming that (1) the solar luminosity has been constant since the Sun formed, and (2) the Sun was initially of uniform composition throughout, as described by Table 9.2, estimate how long it would take the Sun to convert all of its original hydrogen into helium. [Hint: Calculate the mass of hydrogen in the sun and then divide it by the rate of hydrogen fusion]
Based on the mass and luminosity of the Sun, the time required to convert of its original hydrogen into helium is 7.505 × 10^10 years.
What is nuclear fusion?Nuclear fusion is the process whereby nucleus of lighter atoms are fused together to produce heavier atoms with the release of large amounts of energy.
Nuclear fusion occurs at the core of the sun where four hydrogen atoms are fused to form one helium atom with the release considerable energy, and this is known as hydrogen fusion.
The mass of the Sun = 2.0 × 10^30 kg
The Sun’s hydrogen mass is 0.71 × 2.0 × 10^30 kg = 1.42 × 10^30 kg.
The Sun converts 6 × 10^11 kg of hydrogen into helium per second.
Time required to convert all of the Sun's hydrogen to helium = 1.42 × 10^30 kg/6 × 10^11 kg/s
Time required = 2.367 × 10^18 seconds
Converting to years:
3.154 × 10^7 seconds = 1 year
2.367 × 10^18 seconds = 2.367 × 10^18 seconds * 1 year/3.154 × 10^7 seconds
Time required = 7.505 × 10^8 years
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Calculate the number of atoms per nm3 in potassium. The density of K is 0.89 g/cm3, while its atomic weight is 39.098 g/mol. Your final answer should be in the format Answer:
The potassium atom has a 19 atomic number. Potassium contains 19 protons total. Potassium contains 20 neutrons in total. The mass number for potassium is calculated using the formula: 19+20 = 39.
How can you determine an atom's mass?The first step in calculating the number or atoms is to determine the number in moles. To get the amount of moles in an element or compound, divide the supplied mass by the element or compound's molar mass. The amount of atoms in One mole of a given substance is N A, or 6. 023 10 23 atoms.
What is the mass of an atom?The quantity of substance that composes an element's atom is known as its atomic mass. One among the mass of the a carbon-12 atom, with an assigned atomic mass of 12 units, is expressed in a fraction or 1.992646547 1023 grams, or 1.992646547 g. One atom's mass unit is equal to 1.660539040 1024 gram on this scale (amu).
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Can we pretend that airplanes in the night sky are like shootin' stars
I could really use a wish right now, wish right now, wish right now
Can we pretend that airplanes in the night sky are like shootin' stars
I could really use a wish right now, wish right now, wish right now
Answer:
Ok
Explanation:
PLEASE HELP ASAP! WILL GIVE BRAINLIEST TO CORRECT ANSWER! HELP!! HELP!!
The diagram shows the structure of an animal cell.
The image of an animal cell is shown with some organelles labeled numerically from 1 to 6. The outer double layer boundary of the cell is labeled 1. A stacked disc like structure is labeled 2. A broad rod shaped structure with an irregular shape inside it is labeled 3. The entire plain section that forms the background of the cell and is within the outer boundary is labeled 4. A small circular shape within the large circular shape is labeled 5. The large central circular shape is labeled 6.
Which number label represents the cell membrane?
1
2
4
6
(this is middle school science)
Answer:
1. cell membrane
2. golgi body
3. mitochondrion
4. cytoplasm
5. nucleolus
6. nucleus
Explanation:
The correct answer to this question is Option A; 6.
Why?
In a plant cell, the nucleus surrounds the nucleolous, which would be number 5. Therefore, number 6 would be your correct answer.
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a ball is projected with initial velocity 40m/s at angle of 27° from a building 60meters high.find total time the ball is in the air
Answer:
projectile motion
total time of flight= 2V° Sintheta / g
answer is 3second
Hope This would help you!
HELP ASAP PLS ILL GIVE YOU BRAINLIEST
Select the correct answer.
Which civilization was the first to record a solar eclipse?
A.
Greek
B.
Chinese
C.
Aztec
D.
Polynesian
Answer:
chinese
Explanation:
Answer:
B chinese
hope this helps you
Brainlist!! Help!! Atom A consists of 10 protons, 12 neutrons, and 10 electrons.
Atom B consists of 10 protons, 10 neutrons, and 12 electrons.
The atoms are isotopes of each other.
The atoms are not isotopes of each other.
Answer:
They are isotopes of each other
Explanation:
Isotopes are atoms of the same element that have the same number of protons but different numbers of neutrons.
For atom A and atom B, their number of protons is the same (10)
But their number of neutrons is different (12) and (10)
Waves in phaseHave differnt frequencies Weaken one another Pass givin points at differnt times Strengthen one another
When a wave is in phase, the frequencies and periods are the same, meaning they pass the same points at the same times.
Incorrect answers:
Have different frequencies
Pass given points at different times
Weaken one another; when two waves are in phase, their crests, or high points, line up with each other and amplify each other because when added, the sum is a total of the two wave values.
Correct answer: Strengthen one another
an 78.0 n box of oranges is being pushed to the south across a horizontal floor. as it moves, it is slowing at a constant rate of 0.84 m/s each second. the pushing force has a horizontal component of 21.0 n southward and a vertical component of 27.0 n downward.
The required coefficient of kinetic friction between the box and the floor is calculated to be 0.14.
We should draw the free-body diagram of the box.
Weight of the box is given as 78 N.
W = m g = 78 N
Kinetic friction f k = μk N
where,
μk is coefficient of kinetic friction
N is the normal force
Newton's second law mathematically states,
F = m a
where,
F is force
m is mass
a is acceleration
The horizontal component of F is given as Fx = 21 N
The vertical component of F is given as Fy = 27 N
From the free-body diagram, we can write the equations,
Fx - f k = m a ---(1)
N - Fy - W = 0 ---(2)
N = Fy + W = 27 + 78 = 105 N
Putting known values in (1),
Fx - f k = m a
f k = Fx - m a = 21 - (78/9.8) a
The acceleration of the box is given as 0.84 m/s².
f k = 21 - (78/9.8) (0.84) = 21 - 6.69 = 14.31 N
f k = μk N
14.31 = μk (105)
μk = 0.14
Thus, the coefficient of kinetic friction is calculated to be 0.14.
The given question is incomplete. 'Calculate the coefficient of kinetic friction between the box and the floor.'
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The reliability or reproducibility of a measurement is its _____
The degree of data stability when the measurement is replicated under identical circumstances is known as reproducibility or reliability.
What exactly are repeatability and reproducibility?Reproducibility determines how an entire study an experiment can be replicated, whereas repeatability assesses the variation in data made by a single equipment or human under similar circumstances.
What makes repeatability crucial?Science needs reproducibility because it enables more in-depth investigation, and replication validates our findings. There are several investigations and experiments, which result in a wide range of variables, unforeseen, and things that are either outside your influence or you cannot guarantee.
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A car travels a distance of 120 km in 4 hours. What is its average speed in kilometers per hour?
Answer:
60 kilometers per hr
Explanation:
the distance between an object and its real image is 40 cm, if the magnification is 3, calculate the object and image distance if the focal length of the lens is 15 cm
The object distance of the lens is 10 cm and the image distance of the lens is 30 cm.
What is the image and object distance?The object and image distance formed by the lens is calculated by applying the following lens formula.
v + u = 40 ------- (1)
v/u = 3 ------------ (2)
v = 3u
Substitute v into equation (1);
3u + u = 40
4u = 40
u = 40/4
u = 10 cm
The image distance = 3u
= 3 x 10 cm
= 30 cm
Thus, the object distance is 10 cm and the image distance is 30 cm.
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What is the mass of a block of lead that is 30cm by 80cm by 60cm?
Calculating the mass of the block requires a bit of work. The formula for the volume of a rectangular solid is V = l*w*h, where V is the volume, l is the length, w is the width, and h is the height. Using the dimensions given, we can calculate the volume of the block as 30*80*60 = 144000 cubic centimeters.
The density of lead is approximately 11.34 grams per cubic centimeter. To calculate the mass of the block, we can use the formula m = V*d, where m is the mass, V is the volume, and d is the density. Plugging in the values we get m = 144000*11.34 = 1,634,400 grams or approximately 1.63 metric tons.
So, the mass of the block of lead is approximately 1.63 metric tons.
Which waves can travel through space?
a. Electromagnetic waves only
b. Mechanical waves only
c. Electromagnetic and mechanical waves
d. Longitudinal and electromagnetic waves
Answer:
electromagnetic waves only
Explanation:
I just took the test, Hope it helps!
Answer:
A: Electromagnetic waves only
Explanation:
The kinetic energy and the potential energy of the cannonball is constantly ________ as it travels through the air.
A. Changing
B. Increasing
C. Constant
D. Decreasing
Answer:
C. Constant
Explanation:
The total energy of the cannonball remains constant as it travels through the air.
Answer:
Explanation:
hi my name is Ava
A car initially traveling at a speed of 15.0 m/s accelerates uniformly to a speed of 20.0 m/s over a distance of 40.0 meters. What is the magnitude of the car's acceleration?
Answers:
1.1 m/s^2
2.0 m/s^2
2.2 m/s^2
9 m/s^2
Answer:
\(\boxed {\boxed {\sf 2.2 \ m/s^2}}\)
Explanation:
We are asked to solve for the magnitude of the car's acceleration.
We are given the initial speed, final speed, and distance, so we will use the following kinematic equation.
\({v_f}^2={v_i}^2+2ad\)
The car is initially traveling at 15.0 meters per second and accelerates to 20.0 meters per second over a distance of 40.0 meters. Therefore,
\(v_f\)= 20.0 m/s\(v_i\)= 15.0 m/s d= 40.0 mSubstitute the values into the formula.
\((20.0 \ m/s)^2= (15.0 \ m/s)^2 + 2 a (40.0 \ m)\)
Solve the exponents.
(20.0 m/s)² = 20.0 m/s * 20.0 m/s = 400.0 m²/s² (15.0 m/s)² = 15.0 m/s * 15.0 m/s = 225.0 m²/s²\(400.0 \ m^2/s^2 = 225.0 \ m^2/s^2 + 2 a(40.0 \ m)\)
Subtract 225.0 m²/s² from both sides of the equation.
\(400.0 \ m^2/s^2 - 225.0 m^2/s^2 = 225.0 \ m^2/s^2 -225 \ m^2/s^2 +2a(40.0 \ m)\)
\(400.0 \ m^2/s^2 - 225.0 m^2/s^2 = 2a(40.0 \ m)\)
\(175 \ m^2/s^2 = 2a(40.0 \ m)\)
Multiply on the right side of the equation.
\(175 \ m^2/s^2 =80.0 \ m *a\)
Divide both sides by 80.0 meters to isolate the variable a.
\(\frac {175 \ m^2/s^2}{80.0 \ m}= \frac{80.0 \ m *a}{80.0 \ m}\)
\(\frac {175 \ m^2/s^2}{80.0 \ m}=a\)
\(2.1875 \ m/s^2 =a\)
Round to the tenths place. The 8 in the hundredth place tells us to round the 1 up to a 2.
\(2.2 \ m/s^2=a\)
The magnitude of the car's acceleration is 2.2 meters per second squared.
A closed container with volume of 7.20 L holds 10.9 g of liquid helium at 3.00 K and enough air to fill the rest of its volume at a pressure of 1.00 atm. The helium then evaporates and the container warms to room temperature (293 K). What is the final pressure inside the container?
Answer:
The final pressure inside the container is 107.7 atm
Explanation:
Given;
volume of the closed container = 7.20 L
mass of liquid helium in the container = 10.9 g
initial temperature of the container = 3.00 K
initial pressure of the container = 1.00 atm.
final temperature of the container = 293 K
Number of moles of He in the container = 10.9 / 4 = 2.725 moles
At 273˚K and 1 atm pressure (STP), the volume of 1 mole of a gas = 22.4 L
Volume of 2.725 moles of He at STP = 2.725 x 22.4 = 61.04 L
Volume of 2.725 moles of He at 3 K and 1 atm = (3/273) x 61.04 = 0.671 L
Thus, volume of He = 0.671 L
Volume of air in the container = 7.2 L – 0.671 L = 6.529 L
Since, the liquid helium evaporated, we only have air left in the container,
thus, final volume of the container, V₂ = 6.529 L
Initial volume of the container, V₁ = 7.20 L
Initial pressure of the in the container, P₁ = 1 atm
initial temperature of the container, T₁ = 3 K
Final temperature of the container, T₂ = 293 K
Final pressure of the container, P₂ = ?
Apply general gas law, in order to estimate P₂
\(\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2} \\\\P_2 = \frac{P_1V_1T_2}{T_1V_2} \\\\P_2 = \frac{1*7.2*293}{3* 6.529}\\\\P_2 = 107.7 \ atm\)
Therefore, the final pressure inside the container is 107.7 atm
A rocket has a mass of 156,789 kg and is traveling at 45.6 m/s. How much kinetic energy does the rocket
possess?
Explanation:
K.E =1/2 mv^2
=1/2(156789)(45.6)^2
=78,394.5 × 2,079.36
=163,010,387.52 kg m/s
This should be your answer.
what is the force acting in one direction called?
A net force can act in the same direction as that of the current velocity of the object, in which case it will not change the direction in which the object moves.
1. List some environmental challenges identified by the Brundtland Commission's overview, as well as a key strategy for addressing them. Identify urgencies that the Commission sees as necessary for an optimistic environmental future.
The Brundtland Commission spotted as a matter of urgency, the interconnection between natural resource use and the economy.
What is the Brundtland Commission?The Brundtland Commission was set up with the intention to achieve sustainable development. The tenure of the commission lasted from 1984 to 1987.
The commission identified the pillars of sustainable growth as economic growth, environmental protection, and social equality. The committee opined that environmental problem emanates from poverty in the southern region and reckless consumption of resources in the northern region.
The Brundtland Commission spotted as a matter of urgency, the interconnection between natural resource use and the economy.
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A coil 3.55 cm in radius, containing 470 turns, is placed in a uniform magnetic field that varies with time according to B=( 1.20×10^−2 T/s )t+( 2.85×10^−5 T/s4 )t^4. The coil is connected to a 610 Ω resistor, and its plane is perpendicular to the magnetic field. You can ignore the resistance of the coil.
a) Find the magnitude of the induced emf in the coil as a function of time.
b) What is the current in the resistor at time t0 = 5.20 s ?
The current is 1.13* 10^{-4}A
Given that r = radius of the coil = 4 cm = 0.04 m
Area of coil is given as
A = πr²
A = (3.14) (0.04)² = 0.005024 m²
N = Number of turns = 500
R = Resistance = 600 Ω
B = magnetic field = (0.0120)t + (3 x 10⁻⁵) t⁴
Taking derivative at both the side
\( \frac{dB}{dt} = (0.120 + (12 \times 10^-5)t^3)\)
Induced current is given as
\(i= (\frac{NA}{R} )( \frac{db}{dt} )\)
\(i \: = (\frac{NA}{R})(12 \times 10 ^{-5} )t^3\)
substituting the value t = 5
\(i = ( \frac{(500)(0.005024)}{600}) (12 \times 10 ^{-5} )5^3\)
\(i = 1.13 \times 10 ^{ - 4} A\)
Hence the current is
\(1.13 \times 10^-4A\)
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The Electric current is 1.11* 10^{-4}A
Given that the coil's radius is 3.55 cm (0.35 m),
The formula for the coil's area is A = r2 A = (3.14) (0.35)2 = 0.005024 m2.
R = Resistance = 600 N = Number of spins = 500 B = Magnetic field = (0.0120)
t + (3 x 10⁻⁵) t⁴
The number t = 5 is substituted for taking the derivative at both the induced current and the electric current.
The Electric current is therefore 1.11* 10^{-4}A
Electric current - The rate of electron passage in a conductor is known as electric current. The ampere is the electric current's SI unit. Electrons are little particles that are part of a substance's molecular structure. These electrons can be held loosely or securely depending on the situation.
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