The correct equivalent equation from the options provided is:
w = (24.67 - h) / (h + 6)
What is Equivalent Equation?
An equivalent equation is an equation that has the same solution or solutions as the original equation. In other words, if two equations produce the same values for the variables, they are considered equivalent equations.
The equivalent equation for w, based on the given equation and solving for w, is:
w = (148 - 6h) / (h + 6)
To simplify this equation, we can factor out 6 from the numerator:
w = 6(24.67 - h) / (h + 6)
Now we can further simplify by dividing both numerator and denominator by 6:
w = (24.67 - h) / (h + 6)
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how long does it take for light to travel 2.5m in water?
The length of the river span of a bridge is 2799.0 ft. The total length of the bridge is 6998ft. Convert the length of the river span of the bridge to meters.
According to the question the length of the river span of the bridge in meters is 853.3232 m.
What is Length?Length is a physical quantity that measures the distance between two points. It is one of the fundamental units in the International System of Units (SI). It is usually measured in meters, although it can also be measured in other units such as centimeters, kilometers, feet, yards, miles, and so on.
The length of the river span of the bridge is 2799.0 ft. To convert this length to meters, we need to use a conversion factor. There are 0.3048 meters in one foot, so the conversion factor we will use is 1 ft
= 0.3048 m.
To convert 2799.0 ft to meters, we multiply by the conversion factor:
2799.0 ft * 0.3048 m/ft
= 853.3232 m
Therefore, the length of the river span of the bridge in meters is 853.3232 m.
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WILL MARK BRAIN THING HURRY PLS
Imagine that you are an extraterrestrial creature who lives in the extrasolar planetary system where Proxima-b resides. You are studying the Sun, which to you appears to be an exceptionally bright star. You do not know it, but your optical technology is almost identical to humanity’s optical technology. What evidence might indicate to you that (a) planets orbit that star (the Sun) and (b) that at least one of those planets appears to lie within the habitable zone and would thus be a potentially habitable planetary body?
a.) The evidence for planets orbiting the Sun might be :
Periodic variations in the brightness of the SunChanges in the position of the starb. Evidence for potentially habitable planets might come in the form of
Transit observationsSpectral observationsWhat is meant by planets?A planet is described as a celestial body that is in orbit around the Sun, has sufficient mass for its self-gravity to overcome rigid body forces so that it assumes a hydrostatic equilibrium (nearly round) shape, and has cleared the neighborhood around its orbit.
There is a slight decrease in the brightness of the star as planets pass in front of it, blocking a fraction of its light.
The extraterrestrial being might notice periodic fluctuations that are consistent with a planet's orbital period if it can track the Sun's brightness over time.
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I really need help with this please
15. The observations that supported the geocentric models of the solar system and the phenomena described in the table have some similarities and differences. One similarity is that they all involve objects in the sky that are visible to the eye. The observations that supported the geocentric models involved the apparent motion of the planets, the sun, and the moon across the sky, as well as the phases of Venus and the moons of Jupiter.
What is solar system?The solar system refers to the collection of planets, moons, asteroids, comets, and other celestial bodies that orbit around a central star, which is the Sun. It includes eight planets: Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune, and their respective moons, as well as planets such as Pluto, and countless other objects that orbit the Sun.
16. If a small, bright object appeared in the sky, moved along with a nearby constellation, and then disappeared a year later, it most likely occurred within our solar system, possibly in the asteroid belt between Mars and Jupiter or in the Kuiper Belt beyond Neptune. This is because objects that are outside of our solar system would not move with the background constellations over the course of a year, due to their great distance from Earth.
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5) A Brachiosaurus moves with a momentum of 134,052 kgm / s What is the Brachiosaurus' mass it is moving at 3.9m / s ?
The mass of Brachiosaurus moves with a momentum of 134,054 kgm/s and the velocity is 3.9 m/s, which is 34.37 kg.
The momentum is the product of mass and velocity. The momentum is the vector quantity and the unit of momentum is Kgm/s.
Momentum = mass × velocity
mass = momentum/velocity
momentum = 134,052 kgm / s
velocity = 3.9 m/s
mass = 134052 / 3.9
= 34.37 kg
Thus, the mass of Brachiosaurus is 34.37 kg.
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The element of an electric fire with an output of 1.5kw is a cylinder 0.3m long and 0.04 in radius calculate temperature if it behave as black body
The temperature of the electric fire element is 18.3 K
How do we calculate?
We use the formula at:
P = σAT^4
where P= power radiated,
A = surface area of the black body,
σ =Stefan-Boltzmann constant (5.67 × 10^-8 W/m^2K^4),
T = temperature in Kelvin.
P = 1500 W
The surface area of a cylinder is gotten by:
A = 2πrh + 2πr^2
A = 2π(0.04 m)(0.3 m) + 2π(0.04 m)^2
A = 0.0902 m^2
Substituting the values into the Stefan-Boltzmann law, we have:
1500 W = (5.67 × 10^-8 W/m^2K^4)(0.0902 m^2)T^4
T^4 = 4196.9
T = 18.3 K
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40 POINTS!!!
A wave travels along a stretched horizontal rope. The vertical distance from crest to trough for this wave is 18 cm and the horizontal distance from crest to trough is 26cm.
Part A
What is the wavelength of this wave?
Express your answer using two significant figures
Part B
What is the amplitude of this wave?
Express your answer using two significant figures.
part a. the wavelength of this wave is 26 cm
part b. The amplitude (A) of a wave is 9 cm
What is wavelength?The wavelength (λ) of a wave is described as the distance between two consecutive points on the wave that are in phase.
In this scenario, the distance between two corresponding points on the wave will be equal to the horizontal distance from crest to trough, which is 26 cm.
Hence, the wavelength of the wave is: λ = 26 cm
The amplitude (A) of a wave is described as the maximum displacement of a particle from its rest position as the wave passes through it.
In this scenario, the vertical distance from crest to trough is 18 cm, which is equal to twice the amplitude.
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As you sit in a fishing boat, you notice that 12 waves pass the boat every 45 s. If the distance from one crest to the next is 9.0 m what is the speed of these waves?
Express your answer to two significant figures and include the appropriate units.
The frequency of the waves can be calculated as the number of waves passing a given point per unit of time. In this case, the frequency is:
f = (number of waves) / (time)
f = 12 waves / 45 s
f = 0.267 Hz
The wavelength is the distance between two adjacent wave crests, which is given as 9.0 m in the problem.
What is the speed of these waves?The speed of the wave can be calculated using the formula:
v = f × λ
where v is the wave speed, f is the frequency, and λ is the wavelength.
Substituting the values given, we get:
v = 0.267 Hz × 9.0 m
v = 2.40 m/s
Therefore, the speed of the waves is 2.40 m/s (to two significant figures).
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What would be the intensity of a sound wave produced by a 150 Watt speaker from a distance of 5.8 meters? (write your answer to two digits)
The relationship between a sound wave's intensity and pressure amplitude (also known as pressure variation p) is. I is equal to (p) 2 2 v w, where is the thickness of the substance that the sound is contained in.
Describe a sound wave.
Hence, a sound wave is made up of periodically occurring compressions and compression and rarefaction, or areas of high and low pressure, that are travelling at a specific pace. In other words, it consists of a regular (i.e., oscillating or vibrating) change in pressure that takes place around the optimum pressure that is present at a specific time and location.
A sound wave is created by a speaker in what way?
A speaker creates a sound by vibrating a cone, which causes air molecules to vibrate. A speaker in Figure 17.2. 2 vibrates with a consistent frequency and amplitude, causing motions in the molecules of the surrounding air. The speaker transfers power to the air as it vibrates back and forth, primarily as thermal energy.
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What inductance must be put in series with a 100-kiloohm resistor at 1.0-MHz for a total impedance
of 150 kiloohm
An inductance of 0.0191 H (19.1 mH) must be put in series with the 100-kiloohm resistor to achieve a total impedance of 150 kiloohm at 1.0 MHz.
What is Induction?
Induction refers to the production of an electric or magnetic effect through the relative motion or change in magnitude of a magnetic field or electric current. This phenomenon is based on the principles of electromagnetism and is commonly used in various electrical and electronic devices, including transformers, motors, generators, and wireless charging systems.
The total impedance can be calculated using the following formula:
Z_total = sqrt([tex]R^{2}[/tex] X_[tex]L^{2}[/tex])
where R is the resistance (100 kiloohm) and X_L is the inductive reactance. We can rearrange this formula to solve for X_L:
At 1.0 MHz, the angular frequency is:
w = 2πf = 2π × 1.0 × [tex]10^{6}[/tex] = 6.28 × [tex]10^{6}[/tex]ad/s
The inductive reactance can be calculated using the following formula:
X_L = wL
where L is the inductance in henries. We can rearrange this formula to solve for L:
L = X_L / w
Now we can substitute the given values and solve for L:
X_L = sqrt((150 ×[tex]10^{3}[/tex]) - (100 ×[tex]10^{3}[/tex])) = 120 × [tex]10^{3}[/tex] ohm
L = X_L / w = 120 × [tex]10^{3}[/tex] ohm / 6.28 × [tex]10^{6}[/tex] rad/s = 0.0191 H
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5. A risk factor is an aspect of the child or environment that increases the probability of poor outcomes.
Name at least two (2) risk factors of childhood and how these factors might affect their ability to learn in
school. (2 Points)
Anyone pls
The two risk factors that can affect the ability of a child to learn in school is poor parenting and malnutrition.
What is a risk factor?A risk factor can be defined as any predisposing factor that can expose an individual to harm.
A risk factor that affects a child is an aspect of the child or environment that increases the probability of poor outcomes.
The two risk factors that can affect the ability of a child to learn in school include the following:
Poor parenting: When there is lack of understanding and love between the couple is affects the emotions of the children.Malnutrition: The brain of the child is yet to fully develop and this can be help through adequate nutrition.Learn more about nutrition here:
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101. A propeller is accelerated from rest to an angular velocity of 1000 rev/min over a period of 6.0 seconds by a constant torque of 2.0×103N⋅m . (a) What is the moment of inertia of the propeller? (b) What power is being provided to the propeller 3.0 s after it starts rotating?
The power being provided to the propeller 3.0 seconds after it starts rotating is approximately 21.8 MW and the moment of inertia of the propeller is approximately 0.55 kg⋅m².
What kind of forces do hydraulic systems produce?In hydraulic systems, forces are transferred from one area to another inside an incompressible fluid, such as water or oil. Most aircraft's landing gear and braking systems are hydraulic. In order to function, pneumatic systems need a compressible fluid like air.
I = (τt²) / (2πΔθ)
Substituting the given values, we get:
I = (2.0×10³ N⋅m × (6.0 s)²) / (2π × (1000 rev/min) × (1 min/60 s) × 2π)
I ≈ 0.55 kg⋅m²
P = τω
ω = ω₀ + αt
where ω₀ is the initial angular velocity (0 in this case), α is the angular acceleration, and t is the time.
ω = 0 + (τ/I)t
ω = (2.0×10³ N⋅m) / (0.55 kg⋅m²) × (3.0 s)
ω ≈ 10,909 rad/s
P = (2.0×10³ N⋅m) × (10,909 rad/s)
P ≈ 2.18×10⁷ W
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I need help please thank you .:)
Protons, neutrons, and electrons are the three main subatomic particles that make up atoms.
What is mass number and what is the mass number, number of protons, neutrons, and electrons of the given elements?An oxygen atom has 8 protons, 8 electrons, and its number of neutrons may vary depending on the isotope of oxygen. The more frequently encountered isotope of oxygen is oxygen-16, with 8 neutrons.
The element with 13 protons is aluminum (Al). To find the mass number, we add the number of protons and neutrons in the nucleus. Therefore, the mass number of this aluminum isotope would be 13 + 14 = 27.
If an atom has 7 electrons, it must be nitrogen (N), which has an atomic number of 7.
Number of neutrons = Mass number - Atomic number
Thus, we obtain the number of neutrons by the equation: 14 - 7 = 7
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hot water is put into a refrigerator. if the refrigerator is power off, is that true that the more the water inside the refrigerator, the slower the temperature increase ?
No, that is not necessarily true. The temperature inside a refrigerator is regulated by a thermostat, which detects the temperature inside and turns the cooling system on or off as needed to maintain a consistent temperature. When hot water is put into a refrigerator, the temperature inside will initially increase as the refrigerator works to cool the water down to the desired temperature.
The amount of water inside the refrigerator can affect how long it takes to cool down to the desired temperature, but once the temperature has stabilized, the amount of water will not have a significant impact on the rate at which the temperature increases if the refrigerator is powered off. In fact, if the refrigerator is powered off, the temperature inside will gradually increase regardless of the amount of water inside.
Question 15 of 32
A bungee jumper jumps off a bridge and bounces up and down several times.
She finally comes to rest 30 m below the bridge from which she just jumped.
If her mass is 50 kg and the spring constant of the bungee cord is 10 N/m,
how much energy was lost due to air resistance while she was bouncing?
(Recall that g = 9.8 m/s²)
A. 7330 N
B. 9200 N
C. 10,200 N
D. 8605 N
C. 10,200 N is how much energy was lost due to air resistance while she was bouncing
How much energy was lostThe energy lost due to air resistance while the bungee jumper was bouncing can be calculated by finding the total mechanical energy of the system at the beginning of the jump and comparing it to the total mechanical energy at the end of the jump.
At the beginning of the jump, the total mechanical energy is given by:
Ei = mgh
where m is the mass of the bungee jumper, g is the acceleration due to gravity, and h is the height of the bridge. Therefore, at the beginning of the jump:
50 x 30 x 10 - 1/2 x 30^2 x 10
= 15000 - 4500
= 10,200 N
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1. A kid jumps straight up at 7.20 m/s. How long will he remain in the air?
The time takes the kid to remain in the air is 0.735 s.
What is time?Time is the duration of an events. The s.i unit of time is seconds.
To calculate how long the kid will be in the air, we use the formula below.
Formula:
t = (v-u)/g.................................... Equation 1Where:
t = Timev = Final Velocityu = Initial velocityg = Acceleration due to gravityFrom the question,
Given:
u = 7.20 m/sv = 0 m/sg = -9.8 m/s² (Going against the force of gravity)Substitute these values into equation 1
t = (0-7.20)/-9.8t = -7.20/-9.80t = 0.735 secondsHence, the time is 0.735 s.
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please help me in this exercise
a. We can actually see here that the girl have kinetic energy which is respect to the escalator.
b. The kinetic energy does not depend on the chosen reference.
What is kinetic energy?Kinetic energy is a form of energy that an object possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its current velocity. Kinetic energy is a scalar quantity, meaning it only has magnitude and no direction. The formula for calculating kinetic energy is:
KE = 1/2 × m × v²
Where KE is the kinetic energy, m is the mass of the object, and v is its velocity.
The concept of kinetic energy was first introduced by the French mathematician Gaspard-Gustave de Coriolis in 1829. It was later developed by other scientists such as James Prescott Joule and Hermann von Helmholtz.
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103. A uniform rod of length L and mass M is held vertically with one end resting on the floor as shown below. When the rod is released, it rotates around its lower end until it hits the floor. Assuming the lower end of the rod does not slip, what is the linear velocity of the upper end when it hits the floor?
When the rod is released, it begins to rotate around its lower end, and its potential energy is gradually converted into kinetic energy. At the instant just before it hits the floor.
What is energy ?Energy is the ability of a system to perform work. It is a scalar physical quantity that is associated with objects and systems and can come in many different forms, such as mechanical, thermal, electrical, chemical, and nuclear energy. Energy can be transferred from one object to another, or from one form to another, but it cannot be created or destroyed according to the law of conservation of energy. The SI unit of energy is the joule (J), but other common units include the calorie, kilowatt-hour, and electronvolt.
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Saturday. More than On the next page, write two to three paragraphs on the unemployment rate in Detroit in 2010 and the long lasting effects. Write it as if you were explaining what you have learned about unemployment to another student who has no idea how unemployment rates are calculated or why they are significant. ● bus ● Discuss the official and alternative measures of unemployment in Detroit. Explain what the difference is and why it is important to look at both. Explain how unemployment is linked to the health of the entire economy, including businesses and government. Cite evidence from the Detroit News, and the Huffington Post (include information from the sources and be clear with the reader where you got the information). Give your opinion about how and why high unemployment might also impact crime rates and high school completion rates.
In my opinion, it is crucial to address high unemployment rates in order to support the overall health and well-being of the community.
What is unemployment?LeIn 2010, the city of Detroit had one of the highest unemployment rates in the country, with an official rate of 27.8%. This means that almost one-third of the city's workforce was unemployed and actively seeking work. The unemployment rate is calculated by dividing the number of unemployed people by the total number of people in the labor force, which includes those who are employed and those who are actively seeking employment.
However, the official unemployment rate does not take into account those who have given up looking for work or those who are underemployed (working part-time or in jobs that do not match their skill level). This is where alternative measures of unemployment come into play. The Bureau of Labor Statistics (BLS) calculates different measures of unemployment, including U-4, U-5, and U-6, which take into account these additional factors. In Detroit, the U-6 rate was estimated to be around 45% in 2010, which paints a more accurate picture of the true unemployment situation in the city.
High levels of unemployment have a significant impact on the economy, both locally and nationally. When people are unemployed, they have less money to spend, which leads to reduced demand for goods and services. This can in turn lead to business closures, job losses, and a further decline in the economy. Additionally, the government must spend more on social welfare programs to support those who are unemployed, which can strain the budget.
According to the Detroit News, the high unemployment rate in Detroit was linked to a decline in population and an increase in poverty rates. The Huffington Post reported that high unemployment rates can also lead to increased crime rates and lower high school completion rates. This is because unemployed individuals may turn to crime as a means of survival, and children of unemployed parents may struggle to stay in school due to financial pressures.
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Water flows through a pipe of
radius 0.0250 m at 1.50 m/s.
What is the Volume Flow Rate?
(Keep 3 sig figs.)
(Unit=m^3/s)
Help please
Can anyone solve this?
The magnitudes of u and v, in terms of n, are:
|u| = √(2² + 4² + (-1)²) = √21
|v| = √(3² + (-1)² + n²) = √(n² + 10)
How do we calculate?
The given vectors are:
u = 2î + 4j - k
v = 3î - j + nk
The vectors u and v are already given in terms of i, j, and k, which are the standard basis vectors of the three-dimensional Cartesian coordinate system.
Therefore, the magnitudes of u and v, in terms of n, are:
|u| = √(2² + 4² + (-1)²) = √21
|v| = √(3² + (-1)² + n²) = √(n² + 10)
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Raphael wants to test the effect of different food types on the growth rate of mice. He measures the mass of thirty mice and separates them into three groups. Each group is given a different type of feed. All of the mice are kept in identical environments and given access to clean water.
After three months, Raphael measures the mass of the mice again. The results of Raphael's experiment are shown below.
Food Type Average Growth (g)
oat grains 1.5 g
cereal flakes 0.3 g
sunflower seeds 2.1 g
Which of the following is a fact that Raphael can determine from his experiment?
A.
Mice do not like the taste of cereal flakes.
B.
Sunflower seeds are the best type of food to feed pet mice.
C.
Mice that ate sunflower seeds gained an average of 2.1 grams.
D.
Bigger mice are more desirable as pets than smaller mice.
Mice that ate sunflower seeds gained an average of 2.1 grams that Raphael can determine from his experiment. Each group is given a different type of feed.
What is grams ?Grams (g) is a unit of measurement for mass in the International System of Units (SI). It is the base unit of mass in the SI, and is defined as being equal to the mass of a physical prototype, which is kept at the International Bureau of Weights and Measures. In practical terms, 1 gram is equal to 0.0352739619 ounces, or 0.00220462262 pounds. Grams are often used to measure the weight of food, medicines, and other small objects.
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An experiment is performed to determine the specific heat of a 110.0 g metal sphere. The metal sphere is frozen in 40.0 g of ice and cooled to -10.0 °C. An insulated container is filled with 400.0 g of water at 42.0 °C. The ice containing the metal is added to the insulated container and the system comes to thermal equilibrium. At thermal equilibrium, the temperature of the water is now 30.0 °C. Determine the specific heat capacity of the metal sample.
When the temperature of the combination hits 0°C, 20g of ice remains unmelted. The quantity of ice added to the water was approximately (Specific heat of water =4.2J/gC)
Specific heat of ice =2.1J/gC,
Heat of fusion of water at 0C=334J/g.
ΔT=Tfinal−Tinitial=40.6°C−173°C=−132.4°C
What exactly is thermal equilibrium, and how does it occur?Thermal equilibrium is reached when two bodies come into thermal contact with each other, allowing heat transfer (i.e., the transfer of energy through heat) to occur. Thermal equilibrium cannot be achieved if two systems cannot freely exchange energy.
Thermal equilibrium happens after a length of time when the engine temperature equals the air temperature.
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Would you expect the smallest guitar string to produce waves in the glass of water at a higher or lower frequency?
Answer:
Explanation:
The frequency of the waves produced in the glass of water will depend on the frequency of the sound wave produced by the guitar string.
The frequency of a guitar string is inversely proportional to its length, thickness, and tension. Therefore, the thinnest string on a guitar will have the highest frequency, assuming that all other variables are kept constant.
Since the frequency of the sound wave produced by the thinnest guitar string is higher, we would expect the waves produced in the glass of water to also have a higher frequency than those produced by a thicker guitar string.
The following graph shows the kinetic energy of a roller coaster car as it passes through a loop.
Roller Coaster Car's Kinetic Energy
O B.
Kinetic Energy (kilojoules)
OC.
300
250
200
150
100
50
0
1
What was the most likely cause for the rise in kinetic energy after 2.5 seconds?
A. The roller coaster was pulled with decreasing gravitational force.
The roller coaster began slowing down.
The roller coaster started gaining elevation.
O D. The roller coaster began speeding up.
2
3
Time (s)
Reset
Next Question
5
6
Both the object's speed and mass affect how much kinetic energy it contains. Motional energy is produced while the roller coaster descends. The roller coaster's bottom of the track position is where the most kinetic energy is produced. Kinetic energy changes to potential energy when it starts to rise.
Energy changeThrough the transformation of potential energy into kinetic energy, roller coasters are propelled forward. As they are propelled to the peak of the first hill, the roller coaster vehicles accumulate potential energy. The cars drop as the potential energy is transformed into kinetic energy.Kinetic energy is produced by converting potential energy. As the car navigates hills, loops, twists, and turns, this process keeps happening. With height, it increases potential energy, but as it slows down, it loses kinetic energy. Energy only changes from one form to another; it never creates or destroys itself.For more information on kinetic energy of roller coaster kindly visit to
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Calculate the density of each ball. Use the formula D = m/V
where D is the density, m is the mass, and V is the volume. Record your calculations in Table A of your Student Guide.
What is the density of the table tennis ball? Record your answer to the nearest hundredth.
___ g/cm3
What is the density of the golf ball? Record your answer to the nearest hundredth.
___g/cm3
table tennis ball: 0.07 density of the table tennis ball
golf ball: 1.37 density of the golf ball
A golf ball or a table tennis ball, which has the higher density?Because a golf ball has more material in a comparable volume than a table tennis ball, it is denser.
The tennis ball floats because, in general, it is positively buoyant (less dense than water) and hence floats on the sea.
When the force of gravity, which pulls the ping pong ball downward, equals the force of the air stream from the hair drier, the ball "floats" in the air at a position where they are both equal. (which is pushing the ping pong ball up). Bernoulli's Principle is what is meant by this.
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In the Roman soldier model for refraction, a muddy stream crosses the road they are on walking on at 45°. Will the soldiers in the front row all hit the water at the same time?
A. Sometimes
B. Yes
C. No
D. Not enough info
C. No.
The Roman soldier model for refraction assumes that light travels faster in air than in water. When light passes from a medium of lower refractive index (air) to a medium of higher refractive index (water), it bends towards the normal (a line perpendicular to the surface of the water at the point of incidence).
In the case of the muddy stream crossing the road at an angle of 45 degrees, the soldiers in the front row will hit the water first, and then the soldiers behind them will hit the water progressively later. This is because the light from the front of the stream reaches the soldiers' eyes first, while the light from the back of the stream takes a longer path and reaches their eyes later.
Therefore, the soldiers in the front row will not hit the water at the same time.
Look at each written description and equation. Determine if the solution to the equation answers the question by selecting Yes or No.
A
A long-distance athlete can run 12
kilometer in 3 minutes. How many kilometers can he run in an hour?
12 km360 hr=12×603
Yes No B
A search and rescue drone can scan 0.5 hectare in 2 minutes. How many hectares per minute can the drone scan?
510 ha2 min=510×21
Yes No C
In 15 minutes a crew of highway workers paved 110
mile. If they work at the same rate, what portion of a mile will they pave in 1 hour?
14 hr110 mi=14×101
Yes No D
A soup recipe uses 112
cups of water for every 14
teaspoon of seasoning. If a large batch of soup is made using 1 teaspoon of seasoning, how many cups of water is needed?
32 c14 tsp=32×41
Yes No
which statement about magnets is correct
what are the options???????????
juggler tosses a ball in air. The ball leaves the juggler's hand 4 feet above the ground and has an initial vertical velocity of 40 feet per second. The juggler catches the ball when it falls back to a height of 3 feet. How long is ball in air?
The ball stayed 2.525 seconds in the air.
How to find how long the ball stayed in the air?To know how long the ball stayed in the air, we will use the vertical motion model with Initial Velocity .
[tex]h(t) = -16t^2 + v*t + h0[/tex]
Where h(t) = height above the ground after t seconds
v = 40ft/s initial velocity
h0 = 4 ft (initial object height)
t = motion time
[tex]h(t) = -16t^2 + 40*t + 4[/tex]
find t such that h(t) = 3ft
[tex]3 = -16t^2 + 40*t + 4[/tex]
[tex]-16t^2 + 40*t + 4 = 3[/tex]
t = 2.525 seconds
Therefore, the ball stayed 2.525 seconds in the air.
Learn about vertical motion model here https://brainly.com/question/24230984
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