The cabinet has rectangular floor plan where the length is equal to 5 feet more than twice the width. The the expression that represents the area in square feet is Option B 2w²+5. where w is the width.
How to calculate Area of rectangle?The area of the rectangle is the floor space the rectangle can occupy at a given time.
The given parameters are
L= 2w+5
The width = w
Then area is given by the formula
A=L*W
A=2w*w+5
Simplify the expression you have
A=2w²+5 where w is the width
Therefore the area is b. 2w²+5, where w is the width.
How many square feet does one have?Area is measured in square feet. It is described as the space contained by a square with sides of one foot each. Area is determined by multiplying length by width. a space that is one foot long by one foot wide is considered to be one square foot.
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Which of the following is evidence that a chemical reaction has occurred?
a helicopter is flying horizontally at 7.96 m/s and an altitude of 19.6 m when a package of emergency medical supplies is ejected horizontally backward with a speed of 11.9 m/s relative to the helicopter. ignoring air resistance, what is the horizontal distance between the package and the helicopter when the package hits the ground?
When the item hits the ground, there will be a 103.97m horizontal distance between the helicopter and the package.
The meaning of horizontal distance?Regardless of the relative height of the two places, the distance between two points in surveying is considered to indicate the horizontal distance. The distance between a building and the observer is an example of a horizontal distance, and the building's height is an example of a vertical distance.
Vpac = Vpwrt - Vhelicopter
Vpac = 11.9 - 7.96
Vp = 3.94m/s
t = √2h/g
t = √2×19.6/10
t = 8.76sec
Now, x = Vpac × t
x = 3.94 × 8.76
x = 34.51m.......(i)
y = Vheli. × t
y = 7.96 × 8.76
y = 69.46m .......(ii)
Now by adding both the equation
(i) + (ii)
x + y
34.51 + 69.46
103.97m
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If a ball is given a push so that it has an initial velocity of 6 m/s down a certain inclined plane, then the distance it has rolled after t seconds is given by the following equation s(t) = 6t + 5t2 (a) Find the velocity after 2 seconds. m/s (b) How long does it take for the velocity to reach 40 m/s? (Round your answer to two decimal places.)
The velocity after 2 seconds is 26 m/s. It takes 11.50 seconds to reach a velocity of 40m/s.
Given the equation s(t) = 6t + 5t²
Let's find the velocity after 2 seconds.
(a) Velocity = (ds)/(dt)
Differentiating s(t) with respect to t, we get; ds(t) / dt = 6 + 10t
At t = 2,ds(t) / dt = 6 + 10t = 6 + 10(2) = 26m/s
Therefore, the velocity after 2 seconds is 26 m/s.
(b) We are to find how long it takes for the velocity to reach 40m/s. We know that the initial velocity of the ball, u = 6m/s. Acceleration = gsinθ = 9.81 x sin (angle of inclination) = 9.81 x 0.3 = 2.943 m/s²From the first equation of motion, v = u + at
We know v = 40m/s, u = 6m/s, a = 2.943m/s² and t is what we are to find, hence the equation becomes;40 = 6 + 2.943(t)t = (40 - 6) / 2.943t = 11.50s
Therefore, it takes 11.50 seconds to reach a velocity of 40m/s.
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The maximum force of sliding friction between a 10 kg box and the concrete floor is 64 n. How much force should a be applied to the box to keep it moving at a constant velocity?.
A little bit more than 64 N of force is required to move the box at a constant speed.
What is constant velocity?When the rate at which such an object is changing its position is constant in magnitude and direction, the object is said to have constant velocity. To put it another way, for an object to maintain constant velocity, both its movement and its speed must be constant across time.
The formula yields the coefficient of sliding friction;
μ= F/R
Where;
F = frictional force
μ = coefficient of sliding friction
R = Normal reaction
It is important to remember that in order to move a body, a force must be applied that is larger than the frictional force that exists between the body and the surface. As a result, a force of slightly more than 64 N is required to move the box at a constant speed.
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Starting from rest, a runner at a track meet reaches a speed of 7.6 m/s in 1.5 s. How far (in m) does she run during this time, assuming her acceleration is uniform?
6.375 m is her acceleration uniform.
We apply the equations derived for rectilinear motion with constant acceleration to this issue. These are the equations:
a = (v - v₀)/t
x = v₀t + 0.5at²
where
Acceleration is a.
The ultimate and beginning velocities are v and v0, respectively.
The distance is x.
Time has come.
Let's first figure out the value of a to be inserted into the second equation:
4.411 m/s2 is equal to a = (7.5 m/s - 0 m/s)/1.7 s.
x = (0)(1.7s) + 0.5(4.411 m/s²) (1.7 s)
²
x = 6.375 m
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the propeller of a world war ii fighter plane is 3.25 m in diameter. a. what is its angular velocity in radians per second if it spins at 1200 rev/min?
The angular velocity of the propeller in radians per second is 125.66 rad/s.
To convert revolutions per minute to radians per second, we need to multiply by 2π/60. Therefore:
Angular velocity = (1200 rev/min) x (2π/60) = 125.66 rad/s
So the angular velocity of the propeller is 125.66 rad/s.
The angular velocity is a measure of the rate of rotation of an object. In this case, the propeller is rotating at a high speed of 1200 revolutions per minute, which corresponds to an angular velocity of 125.66 rad/s. This high angular velocity is necessary to provide the necessary thrust for the fighter plane to fly at high speeds and perform various maneuvers.
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An object is accelerating if there is a change in speed and which factor? A. direction B. displacement C. time D. position
Answer:
time bc speed uses time
Explanation:
hope it helps♡ ;)
An object is accelerating if there is a change in speed and there is a change in direction, therefore the correct answer is option A.
What is acceleration?The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².
Even if the magnitude of the velocity not changing even the change in the direction would lead to acceleration,
uniform circular motion is one of the best examples where the speed is constant but the direction is changing continuously
Thus, An object is accelerating if there is a change in speed and there is a change in direction, therefore the correct answer is option A.
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WILL GIVE BRAINLEST How far will a cheetah travel if it runs at 30 m/s for 60s?
Group of answer choices
2 m
1800 m
60 m
5 m
Answer:
2m
Explanation:
first to answer will be marked brainliest :p
Answer:
HI!!!
Explanation:
Answer:
what is your questions
A spacecraft orbits the Earth at height of 1600km. Calculate the escape velocity for the spacecraft.
[G= 6.67×10^-11Nm^2kg^-2, mass of the Earth= 5.97×10^24kg, radius of the Earth= 6.37×10^6m]
Answer:
what do u need help with
Explanation:
Calculate the escape velocity for the spacecraft. [G= 6.67×10^-11Nm^2kg^-2, mass of the Earth= 5.97×10^24kg, radius of the Earth= ...
a train travels 65 miles in 2 hours what is the average speed of the train in miles per hour
Answer:
32.5 miles
Explanation:
65/2=32.5
Hope this helps!
Answer:
32.5
Explanation:
7) Find F1 and F2
HELP PLEASEEE
The force F1 is equal and opposite to the downward force thus, F1 is equal to 60 N. The force F2 is inclined to 30 ° from leftward force and it is equal to 38.97 N in magnitude.
What is force?Force is an external agent acting on a body to deform it or to change its state of motion or rest. Force is a vector quantity and it is characterised by its magnitude and direction.
If two forces acting on a body from the same directions, then the net force will be the sum of these two forces. If they are acting from opposite directions, they will cancel each other in magnitude.
The force F1 is equal and opposite to the force acting downward. Thus its magnitude is 60 N. The force F2 is inclined to 30 ° from horizontal direction.
F2 = 45 cos 30 = 38.9 N.
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cecil wants to be able to leap tall doghouses in a single bound while wearing her super dog costume. cecil can almost jump up over an annoying pet gate. cecil can just barely clear a pet gate that is 0.81-m tall when she launches herself at a 45° angle from a distance of 1.5-m from the base of the gate. (a) what is her launch speed? (b) how long is she in the air for? (c) how far behind the gate does she land? you may ignore air resistance and treat cecil as a point particle.
Cecil can just barely clear a pet gate that is 0.81-m tall when she launches herself at a 45° angle from a distance of 1.5-m from the base of the gate. Her launch speed is 4.4 m/s. She was in the air for 0.193 s. She lands 0.556 m behind the gate.
To determine Cecil's launch speed, we can use the kinematic equations for projectile motion. Let's break down the problem into three parts:
(a) Launch speed:
Given that Cecil can barely clear the pet gate, we can assume that her vertical displacement (Δy) is equal to the height of the gate, which is 0.81 m. The launch angle (θ) is 45°. We can use the following equation to calculate her launch speed (v):
Δy = (\(v^2\) * sin²θ) / (2 * g)
Where g is the acceleration due to gravity, approximately \(9.8 m/s^2.\)
Plugging in the values:
0.81 m = (v^2 * sin² 45°)) / (2 * \(9.8 m/s^2.\))
Simplifying the equation, we get:
v^2 = (0.81 m * 2 * \(9.8 m/s^2.\)) / sin²(45°)
Taking the square root of both sides, we find:
v = sqrt((0.81 m * 2 * \(9.8 m/s^2.\)) / sin²(45°))
Calculating the value, we find:
v ≈ 4.4 m/s
Therefore, Cecil's launch speed is approximately 4.4 m/s.
(b) Time in the air:
To determine how long Cecil is in the air, we can use the vertical component of her motion. We can use the following equation:
Δy = v0y * t - (1/2) * g * t²
Where Δy is the vertical displacement, v0y is the initial vertical velocity (which can be found using the launch speed and launch angle), t is the time in the air, and g is the acceleration due to gravity.
Given that the initial vertical velocity (v0y) is equal to v * sinθ, we can rearrange the equation to solve for t:
0.81 m = (v * sinθ) * t - (1/2) * g * t²
Plugging in the values:
0.81 m = (4.4 m/s * sin(45°)) * t - (1/2) * \(9.8 m/s^2.\) * t²
Simplifying the equation, we get a quadratic equation:
(1/2) * \(9.8 m/s^2.\)* t² - (4.4 m/s * sin(45°)) * t + 0.81 m = 0
Solving this quadratic equation, we find two possible solutions for t:
t ≈ 0.193 s or t ≈ 0.046 s
Since Cecil cannot be in the air for a negative amount of time, the valid solution is:
t ≈ 0.193 s
Therefore, Cecil is in the air for approximately 0.193 seconds.
(c) Distance behind the gate:
To determine how far behind the gate Cecil lands, we can use the horizontal component of her motion. We can use the following equation:
Δx = v0x * t
Where Δx is the horizontal displacement, v0x is the initial horizontal velocity (which can be found using the launch speed and launch angle), and t is the time in the air.
Given that the initial horizontal velocity (v0x) is equal to v * cosθ, we can plug in the values to calculate Δx:
Δx = (4.4 m/s * cos(45°)) * 0.193 s
Simplifying the equation, we find:
Δx ≈ 0.556 m
Therefore, Cecil lands approximately 0.556 meters behind the gate.
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The energy needed to boil a liquid is known as the latent heat of...what?
If the radius of star A is twice the radius of star B, but both have similar temperatures, how do their luminosities compare?
The luminosity of star A will be much higher than that of star B because the luminosity is directly proportional to the square of the radius.
Since the radius of star A is double that of star B, the luminosity of star A will be four times that of star B, meaning it will be much brighter. This is because the surface area of star A is four times larger than that of star B, which means it has more space to radiate energy.
This is why stars with larger radii tend to be brighter than those with smaller radii, even if they have similar temperatures.
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13. Which one of the colors has the longest wavelength A, Red B. Yellow C. Blue 14. The sky appears blue due to A. Diffraction of light C. Refraction of light B. Reflection of light D. Scattering of light
13.The color with the longest wavelength is option A. Red.
14.The sky appears blue due to option D. Scattering of light.
Red light has a longer wavelength compared to yellow and blue light.The color that has the longest wavelength is red. The color of the sky appears blue due to scattering of light. The distance between one peak and the next in a series of waves, particularly electromagnetic waves traveling through space or along a wire is referred to as wavelength.
The wavelength of light, for example, determines its color. Red light has the longest wavelength, followed by orange, yellow, green, blue, and purple, with violet light having the shortest wavelength. When light is reflected off a surface or passes through a medium, it can be deflected in various directions, a phenomenon known as scattering of light.
The Earth's atmosphere scatters sunlight in all directions, but the shorter blue wavelengths are scattered more than the longer wavelengths. As a result, we perceive the sky as blue during the day. The light becomes scattered when it interacts with particles in the atmosphere, causing the sky to appear blue during the day and red during sunset or sunrise. The scattering of light is the process that causes the sky to appear blue.
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Clouds are forming along the front because the rising air is
A) contracting and warming, causing
evaporation
B) contracting and cooling, causing evaporation
C) expanding and warming, causing condensation
D) expanding and cooling, causing condensation
Answer:
D
Explanation:
The water vapor rises in the air. It starts to expand while cooling the higher it gets in the atmosphere. This causes condensation.
Clouds are forming along the front because the rising air is expanding and cooling, causing condensation (Option D).
Cloud formation occurs when water vapor cools and condenses to form liquid water droplets or solid ice crystals.In a cloud, liquid water droplets are formed at temperatures higher than 0 Celsius degrees, while solid ice crystals are formed at temperatures lesser than 0 Celsius degrees.In consequence, during cloud formation, the excess amount changes from water vapor (gas) into a liquid (water droplets) or solid (ice).In conclusion, clouds are forming along the front because the rising air is expanding and cooling, causing condensation (Option D).
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1. Thermal energy needed to boil a liquid is the heat of
A. condensation
B.fusion
C. vaporization
D. specific
Answer:
vaporation
Explanation:
latent heat also called the heat of vaporization is the amount of energy necessary to change a liquid to a vapour at constant temperature and pressure.
An object has a height of 0.064 m and is held 0.240 m in front of a converging lens with a focal length of 0.140 m. (Include the sign of the value in your answers.)
(a) What is the magnification?
(b) What is the image height?
m
(a) To find the magnification, we first need to determine the image distance (q). We can use the lens formula:
1/f = 1/p + 1/q
where f is the focal length (0.140 m), p is the object distance (0.240 m), and q is the image distance. Rearranging the formula to solve for q:
1/q = 1/f - 1/p
1/q = 1/0.140 - 1/0.240
1/q = 0.00714
q = 1/0.00714 ≈ 0.280 m
Now, we can find the magnification (M) using the formula:
M = -q/p
M = -0.280/0.240
M = -1.17
The magnification is -1.17.
(b) To find the image height (h'), we can use the magnification formula:
h' = M × h
where h is the object height (0.064 m). Plugging in the values:
h' = -1.17 × 0.064
h' ≈ -0.075 m
The image height is approximately -0.075 meters. The negative sign indicates that the image is inverted.
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Financial statements provide information to the public. True of False
Answer:
False
Explanation:
they just what they spent money on and thats not all of it
A runner decreases his velocity from 20 m/s to 10 m/s in 2.0 s.
What was his average acceleration?
We have that the average acceleration is
\(a=5m/s^2\)
From the Question we are told that
Decreases his velocity from 20 m/s to 10 m/s in 2.0 s.\
Generally the equation for the average acceleration is mathematically given as
\(a=\frac{u-v}{t}\\\\a=\frac{20-10}{2}\)
\(a=5m/s^2\)
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As you approach your vehicle and perform checks it is not necessary to always
a)
b)
c)
d)
be alert for oncoming vehicles
check the spare tire for proper inflation
carry your keys in your hand
search beneath and around your vehicle
It is not necessary to always
d) check the spare tire for proper inflation
How often should you perform pre-driving checks?Whenever you drive, you should perform pre-driving checks.
If Your vehicle is parked at the curb. As you approach it, you should:
Approach the driver's door facing traffic.
Always carry your keys in your hand.
Be alert for oncoming vehicles
Search beneath and around your vehicle
Approach your vehicle and perform checks it is not necessary to always:
Check the spare tire for proper inflation.
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Higher concentration of _______ causes greenhouse
Higher concentration of carbon dioxide (\(CO_2\)), methane (\(CH_4\)), and nitrous oxide (\(N_2O\)) causes the greenhouse effect.
Those human activities include the burning of fossil fuels like coal, oil, gas, and peat in industries, the emissions of methane and nitrous oxide from agriculture, the destruction of forests, and the urbanization of formerly uninhabited areas.The primary natural gas component and powerful greenhouse gas is methane (\(CH_4\)). Greenhouse gases absorb energy and delay the pace at which heat is lost from the Earth by escaping into the atmosphere and acting as a blanket to insulate the globe. This energy is exceptionally effectively absorbed by methane in this situation.Global warming and climate change are caused by gases like carbon dioxide (\(CO_2\)), methane (\(CH_4\)), and nitrous oxide (\(N_2O\)) trapping more heat in the Earth's atmosphere.For a similar question on the greenhouse effect.
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what is the relationship between instantaneous speed and instantaneous velocity? group of answer choices they are unrelated. instantaneous speed is the initial speed minus the final speed. instantaneous speed is the rate at which the instantaneous velocity is changing. instantaneous speed is the magnitude of the instantaneous velocity. they are identical.
The relationship between instantaneous speed and instantaneous velocity is that instantaneous speed is the magnitude of the instantaneous velocity.
Instantaneous velocity is the rate of change of position for a very small interval of time. The interval of time so that that its value is almost zero. Instantaneous speed is the magnitude of instantaneous velocity without any direction.
The instantaneous velocity is vector quantity just like velocity and the instantaneous velocity is a scalar quantity just like speed. The value of if instantaneous velocity with direction is instantaneous velocity.
Therefore, the relationship between instantaneous speed and instantaneous velocity is that instantaneous speed is the magnitude of the instantaneous velocity.
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Why does fire has not any shadow?
James is planning a science fair project on sound waves. He places an alarm inside a jar which he can remove the
air from. Before he removes the air, he can hear the alarm ringing. After he removes the alr, he cannot hear the
alarm ringing. What condusion can you draw from this experiment?
A. Sound waves can travel in a vacuum
B. Sound waves are transverse waves and are loud
C. Sound waves cannot travel through a medium
D. Sound waves require a medium to travel through
Answer: c
Explanation:
Sound waves cannot travel through a medium
which of the following factors determines the strength of the frictional force between two surfaces
Answer:
Explanation:
The strength of the force of friction depends on two factors: how hard the surfaces push together and the types of surfaces involved. What factors affect the gravitational force between two objects? Two factors affect the gravitational attraction between objects: mass and distance.
an electron is accelerated from rest across the gap of a capacitor (two parallel plates charged -q and q respectively). a hole in the top plate allows the electron to emerge with a constant velocity of v
When an electron is accelerated from rest across the gap of a capacitor, it means that it moves from one plate to another. In this case, the two plates are charged with -q and q, respectively.
The electron emerges with a constant velocity of v through a hole in the top plate. The acceleration of the electron can be calculated using the equation: acceleration = change in velocity/time.
The electron is a subatomic particle (denoted by the symbol e or β−) whose electric charge is negative one elementary charge. Electrons belong to the first generation of the lepton particle family and are generally thought to be elementary particles because they have no known components or substructure.
However, without knowing the time it took for the electron to emerge, it is not possible to calculate the exact acceleration.
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20 POINTS PLEASE HELP
Use the image above to help you respond to this question:
If you were able to float from Earth’s surface and into space, you would notice shifts in the temperature along the way. We know that the density of air molecules is lessening and it SHOULD get colder as you ascend, so explain why
a) the stratosphere behaves differently.
b) the thermosphere behaves differently.
What is momentum? And it’s types?
Answer:
Momentum is the product of mass and velocity. The two types of momentum are angular and linear.
Explanation:
Answer:
Explanation: (Momentum is mass * velocity. Its units, in the SI system are kilogram meter per second) What is Inertia?
In physics, momentum is the product of mass and velocity. The greater the product of this equation, the greater the momentum. In science, there are two types of momentum: angular and linear, which concern different types of moving objects. However, that is not where the definition stops. The word momentum is also used as part of everyday speech, and is one of the very few physics concept whose metaphorical definition is the same as its actual one.
I HOPE THIS ANSWER WILL HELP YOU!!!