- Determine the tension in each cable in the diagram to the right.

- Determine The Tension In Each Cable In The Diagram To The Right.

Answers

Answer 1

Tension of the three cables connecting the  celling, 7 kg ball, 4 kg ball,  5 kg ball respectively 156.8 N,  88.2 N and 49 N.

What is tension?

The force communicated through a rope, string, or wire when two opposing forces draw on it is known as tension. The tension force pulls energy equally on the bodies at the ends and is applied along the entire length of the wire.

Tension of the cable connecting the  celling and 7 kg ball:

= (7 kg + 4 kg + 5Kg) × 9.8 m/s²

= 156.8 N.

Tension of the cable connecting the  7kg ball and 4 kg ball:

= (4 kg + 5Kg) × 9.8 m/s²

= 88.2 N.

Tension of the cable connecting the  4kg ball and 5 kg ball:

= 5Kg× 9.8 m/s²

= 49 N.

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Related Questions

Two drops of mercury each has a charge on 5.44 nC and a voltage of 235.15 V. If the two drops are merged into one drop, what is the voltage on this drop?

Answers

To find the voltage of the combined drops, we can just add the voltage of both drops together.

2(235.15) = 470.3 Volts

a horizontal spring has a spring constant k =1000 n/m . a block with mass m = 10 kg approaches the spring with speed v0 = 1 m/s find the maximum compression of the spring.

Answers

The maximum compression of the spring due to the block of mass 10kg is 3.16 m

The spring constant of a horizontal spring, k = 1000 n/m

The mass of the block which compresses the spring, m = 10kg

                                                                                             = 10000 g

The speed of the block, v = 1 m/s

We know that the kinetic energy of the block will be responsible for the compression of the horizontal spring.

Thus, the kinetic energy of the block = work done for compressing the horizontal spring

           

                1/2 mv² = 1/2 kx²

where m is the mass of the block

           v is the velocity of the block

           k is the spring constant

           x is the compression of the spring

Now, let us substitute the known values in the above equation, we get

             1/2 (10000)(1)² = 1/2 (1000)(x)²

                   500x² = 5000

                          x² = 5000 / 500

                          x² = 10

                          x = √10

                          x = 3.16 m

Therefore, the maximum compression of the spring is 3.16m

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when connected to a mains of 250v,the fuse rating in the plug of an electric dence of 1kw in ampere is?​

Answers

The fuse rating in the plug of the electric device should be 4 amperes.

What is ampere ?

An ampere can be defined as a unit of measure of the rate of electron flow or current in an electrical conductor.

To calculate the fuse rating in amperes for an electric device with a power rating of 1 kW connected to a mains voltage of 250 V, we can use the formula:

P = IV

Where

P is the power in wattsI is the current in amperesV is the voltage in volts

In this case, we have P = 1000 W (since 1 kW = 1000 W) and V = 250 V. Solving for I, we get:

I = P/V = 1000 W / 250 V = 4 A

Therefore, the fuse rating in the plug of the electric device should be 4 amperes.

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. explain what would cause this difference in theoretical mass of soap vs. recovered mass of soap if the mass is higher than expected, in addition, if the mass is lower than expected.

Answers

The difference between the theoretical mass of soap and the recovered mass can be caused by factors such as contamination, incomplete reaction, loss during handling, or side reactions. It's important to carefully consider these possibilities when analyzing differences in mass.

Theoretical mass of soap refers to the expected mass of soap that should be obtained during a chemical reaction, based on the balanced equation and stoichiometry. However, sometimes the actual mass of soap recovered may differ from the theoretical mass.

If the recovered mass of soap is higher than expected, it could be due to several reasons:

1. Contamination: There may be impurities or other substances mixed with the soap, leading to an increase in the overall mass. For example, if the soap was not properly dried before weighing, it might retain some water molecules, causing the mass to be higher.

2. Incomplete reaction: The reaction may not have gone to completion, meaning that not all the reactants were converted into soap. This could occur if the reaction conditions were not optimal or if the reactants were not mixed properly. In such cases, the actual mass of soap recovered would be lower than the theoretical mass, resulting in a higher overall mass.

If the recovered mass of soap is lower than expected, it could be due to the following reasons:

1. Loss during handling: Some soap may have been lost during the transfer or handling process, leading to a lower overall mass. For example, if the soap was spilled or left behind on the apparatus, it would not be included in the recovered mass.

2. Side reactions: During the soap-making process, there could be unintended side reactions that consume some of the reactants and result in the formation of other products. These side reactions reduce the amount of soap formed, leading to a lower recovered mass compared to the theoretical mass.

To summarize, the difference between the theoretical mass of soap and the recovered mass can be caused by factors such as contamination, incomplete reaction, loss during handling, or side reactions. It's important to carefully consider these possibilities when analyzing differences in mass.

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If the velocity of money and real gdp are fixed, then the quantity theory of money implies that the price level will:_____.

Answers

Increase at the same rate as the growth in the money supply.

What is quantity theory?

One of the schools of Western economic thinking that evolved in the 16th and 17th century in monetary economics is the quantity theory of money. According to the QTM, the overall level of prices for goods and services is inversely correlated with the money supply.

Keynesian economists contested the idea, but Milton Friedman and the monetarist school of thought updated and revitalised it. The direct correlation between the money supply and price level does not hold, according to the theory's detractors, since money velocity is unstable and prices are sticky in the short term. According to conventional macroeconomic theory, the CPI-based measure of inflation is unaffected by changes in the money supply.

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Complete the missing information for each of the following.
Calculate the energy, height, and velocity at each of the following
points for the 1.5 kg weighted basketball.

(at the top) PE=29.4J KE= h=
(at the halfway point) PE= KE= v= h=
(on the floor) PE= KE= v=

Answers

Answer:

3.141592653 im  king of NYC

Explanation:

What’s the sum of all even number from 1-400

Answers

40200 would be the answer!

Answer:

40200

Explanation:

200 even numbers from 1 to 400

so n=200

sum of all even numbers is n(n+1)

so sum = 200(201)

which equals 40200

EASY QUESTIONS! DUE IN 15 MIN WILL MARK BRAINLIEST.

1. What is the sum of a vector 8 m south and a vector 12 m north? *
2. What is the sum of a vector 12 m north and a vector 8 m north? *

PLEASE SHOW WORK AND EXPLAIN

Answers

Explanation:

As they are in same direction, you can add them directly. And result is 12 + 8 m = 20 m North. If you use vector addition: Vectors = 12m & 8 m & angle b/w them is 0°(as both are in same direction).

please help its in science CER, 30 points

please help its in science CER, 30 points

Answers

Answer:We have seasons because the earth is tilted (wonky) as it makes its yearly journey around the sun. The Earth's axis is tilted at an angle of 23.5 degrees. This means that the Earth is always "pointing" to one side as it goes around the Sun.

Explanation:

got this from the internet

as the scattering angle θ in the compton effect increases, the energy of the scattered photon
stays the same
increases
decreases
increases by sin (0)
decreases by sin (0)

Answers

As the scattering angle θ in the Compton effect increases, the energy of the scattered photon decreases.

The Compton effect is a phenomenon that occurs when a photon collides with a free electron. During the collision, the photon transfers some of its energy to the electron, causing the photon to lose energy and shift to a longer wavelength. The amount of energy lost by the photon is dependent on the scattering angle, with larger angles resulting in greater energy loss. This is because the momentum of the photon is conserved during the collision, and the change in direction (or scattering angle) of the photon results in a change in its momentum. Therefore, as the scattering angle increases, the change in momentum of the photon also increases, leading to a greater loss of energy.

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How will increasing the frequency of this wave affect the wavelength?

Answers

Answer:

Show the wave

Explanation:

Answer:

The number of complete wavelengths in a given unit of time is called frequency (f). As a wavelength increases in size, it's frequency and energy (E) decrease. From these equations you may realize that as the frequency increases, the wavelength gets shorter. As the frequency decreases, the wavelength get longer.

Explanation:

I majored in Physics

What are the materials necessary to create an electromagnet?
A) power source, metallic core, and electrical conductor

B) metallic core and power source only

C)metallic core magnet, and power source

D)electrical conductor and power source only​

Answers

Answer:

A

Explanation:

Electromagnet: It is a temporary magnet. It consists of wrapping coils around iron core and the power source. When the current passes through the coils around the iron core then it will get magnetized. The domains of the electromagnet gets aligned.

As long as the current passes through it, it will get magnetized. It will loose its magnetism easily when the power is switched off.

In the electromagnet, the strength of the magnetism can be increased or decreased. The poles of the electromagnet are not fixed.

I think answer is b. Please give me brainlest I hope this helps let me know if it’s correct or not thanks I appreciate it

Steve races to the nearest taco stand at lunchtime and sees that his pedometer recorded his peak speed at 86.7 cm/s. What was Steve's peak speed in kilometers per hour

Answers

To convert Steve's peak speed of 86.7 cm/s to kilometers per hour, we need to use the following formula: 1 km = 100,000 cm and 1 hour = 3,600 seconds.

Hence: Peak speed in km/h = (86.7 cm/s × 1 km/100,000 cm × 3,600 s/1 h)Peak speed in km/h = 0.00312 km/h × 86.7Peak speed in km/h = 0.270 km/h.

Therefore, Steve's peak speed in kilometers per hour is 0.270 km/h.

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¿A qué velocidad debe circular un auto de carreras para recorrer 87 km en 20 min? (pasar a metros por segundo m/s)

Answers

Answer:

Velocidad en m / s = 72,25 m / s

Explanation:

Dado

Distancia a recorrer por el coche de carreras = 87 Km

1 km = 1000 m

Por lo tanto, 87 km = 87000 m

Tiempo necesario para viajar 87 km / 87000 metros = 20 minutos o 20 * 60 = 1200 segundos

Velocidad en m / s = 87000/1200

Velocidad en m / s = 72,25 m / s

A bobsled is on an inclined sheet of ice that is frictionless. What must be the angle of the incline if the acceleration of the bobsled is 2.77m/s^2?

Answers

Answer:

 θ = 73.6º

Explanation:

To solve this exercise, let's use Newton's second law. Let's set a reference system where the x-axis is parallel to the inclined plane

with trigonometry we can find the components of the weight

           sin θ = Wₓ / W

           cos θ= W_y / W

           Wₓ = W sin θ

           W_ = W cos θ

Y axis  

           N - W_y = 0

           N = W_y

X axis

           Wₓ - fr = m a

            mg cos θ - fr = m a

indicate that friction is zero, fr = 0

            cos θ = a / g

            θ = cos⁻¹  \(\frac{a}{g}\)

let's calculate

            θ = cos⁻¹  \(\frac{2.77}{9.8}\)

            θ = 73.6º

Why do you think the speed of sound is higher
in solids, than liquids and gases?

Answers

Answer:

Explanation:

Particles of a solid are closely packed, and  when a solid is hit to produce a sound the kinetic energy present in the solid will cause the particles to vibrate vigorously in the intermolecular spaces in the solid, whereas the paticles of liquids and gases are rather further apart therefore having large intermolecular spaces between particles.

Unbeknownst to the students, every time the school floors are waxed, Mr. Tracy, the principal, likes to slide down the Hallway in his socks. Mr. Tracy weighs 85 kg and the coefficient of sliding friction between his socks and the floor is 0.120. What is the force of friction that opposes Mr. Tracy's motion down the hall?

Answers

Answer:

f = 99.96 N

Explanation:

Weight of Mr. Tracy, W = 85 kg

The coefficient of sliding friction between his socks and the floor is 0.12.

We need to find the force of friction that opposes Mr. Tracy's motion down the hall.

The force of friction is given by :

\(f=\mu mg\\\\f=0.12\times 85\times 9.8\\\\f=99.96\ N\)

So, the required force of friction is 99.96 N.

How do you calculate satellite altitude?

Answers

Satellites are objects that orbit around a planet or other celestial body. The altitude of a satellite refers to its distance from the surface of the planet or body that it is orbiting. This distance can be calculated using basic physics principles.

To calculate the altitude of a satellite, we first need to know the mass of the planet or body that the satellite is orbiting, and the distance between the center of mass of the satellite and the center of mass of the planet. This distance is known as the semi-major axis of the orbit.

Once we have these two pieces of information, we can use the formula:

Altitude = (semi-major axis * (1 + (eccentricity^2)) - (planet's radius))

where:

semi-major axis is the distance between the center of mass of the satellite and the center of mass of the planet

eccentricity is a measure of the shape of the orbit, which can range from 0 (a circular orbit) to 1 (a parabolic orbit)

This formula gives us the distance from the center of the planet to the closest point (perigee) in the satellite's orbit. To get the altitude from the surface of the planet, you need to subtract the radius of the planet from the distance.

It is important to note that this formula assumes that the orbit of the satellite is a perfect ellipse and that the only force acting on the satellite is the gravity of the planet or body it is orbiting. In reality, other forces such as drag and solar radiation pressure can affect the orbit of a satellite, and the orbit may not be a perfect ellipse. Therefore, the actual altitude of a satellite may differ from the value calculated using this formula.

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A sub marine is 40cm below seawater of density 1020kg/m3.If the atmospheric pressure at the place is 103,000pa,calculate the total pressure acting on the submarinea . ​

Answers

The total pressure acting on the submarine is approximately 106,993.6 Pa.

To calculate the total pressure acting on the submarine, we need to consider both the pressure due to the depth of the seawater and the atmospheric pressure.

The pressure due to the depth of the seawater can be calculated using the formula:

Pressure = density × gravity × depth

where density is the density of the seawater, gravity is the acceleration due to gravity, and depth is the depth of the submarine below the seawater.

Given:

Density of seawater = 1020 kg/m³

Depth of submarine below seawater = 40 cm = 0.4 m

Acceleration due to gravity = 9.8 m/s²

Pressure due to the depth of the seawater = 1020 kg/m³ × 9.8 m/s² × 0.4 m = 3993.6 Pa

Next, we need to consider the atmospheric pressure, which is given as 103,000 Pa.

To find the total pressure acting on the submarine, we need to add the pressure due to the depth of the seawater to the atmospheric pressure:

Total pressure = Atmospheric pressure + Pressure due to depth of seawaterTotal pressure = 103,000 Pa + 3,993.6 Pa

Therefore, the total pressure acting on the submarine is approximately 106,993.6 Pa.

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Research and define pressure, as it relates to air or water pressure.

Answers

Answer:

PRESSURE is a force exerted by the substance per unit area on another substance.

The key difference between water pressure and air pressure is that one is made up of water and the other is made up of air. Both air pressure and water pressure are based on and follow the same physical principals.

Explanation:

How many minutes does it take for light to go from the sun to the planet Uranus, a distance of 2.88x109 km? (The
velocity of light is constant in free space and is 3.00x108 m/s)

Answers

Answer:

t = 160 minutes

Explanation:

Given that,

Distance of Uranus from Sun is \(2.88\times 10^9\ km\)

We need to find the time taken by the light to go from sun to Uranus if the velocity of light is constant in free space and it is equal to c.

So,

\(t=\dfrac{d}{v}\\\\t=\dfrac{2.88\times 10^9\times 10^3\ m}{3\times 10^8}\\\\t=9600\ s\)

Since, 1 minute = 60 seconds

t = 160 minutes

So, 160 minutes is taken by the light.

Distinguish between
Subsistence farming and Intensive farming​

Answers

Answer:

Subsistence farming is growing food for your own and your family's direct consumption. Like a backyard vegetable garden, but with fruit, starch crops, and animals as well. Intensive agriculture is anything that really works the land hard. The inputs cost money, so it is generally only done for profit

hope it becomes helpful to you ☺️☺️

good luck

100 POINTS!!!
Which condition is NOT necessary for a hurricane to form?
warm ocean waters
very low air pressure
high air pressure
warm, moist air rising

Answers

Answer:

very low air pressure and that's not 100 points

A heavier person will have a lower blood level due to a greater amount of ___ in their

Answers

Answer:

Blood alcohol content (BAC) is a measure of the amount of alcohol that is present in the blood.

A heavier person will have a lower blood alcohol level due to a greater amount of water in their body. The more a person weighs, the more water he/she tends to have in his/her body. The water has a diluting effect on the alcohol so the BAC will be lower in comparison with a person who is slimmer  and has less water in the body.

Explanation:

"Please include all relevant working out as detailed as possible
and all relevant diagram to find the answer. Much appreciated! I
will upvote! Thank you so much"
Find total response of the system (transient+steady state). Do not solve for coefficients. Determine the frequency of applied force at which resonance will occur? M = 20 kg F, = 90 N Given: -6 rad/s M

Answers

Given the following information:Mass of the system, m = 20 kg.Damping coefficient, b = 6 Ns/m.Force, F = 90 N.Frequency of applied force, f = ?Applied force angular frequency, w = 6 rad/s.Forced vibration equation:F(t) = F0 sin(wt)where F0 = 90 N and w = 6 rad/s.Under the action of the force F, the mass m will oscillate.The equation of motion for the mass-spring-damper system is given by:$$\mathrm{m\frac{d^{2}x}{dt^{2}}} + \mathrm{b\frac{dx}{dt}} + \mathrm{kx = F_{0}sin(\omega t)}$$where k is the spring constant.x(0) = 0 and x'(0) = 0.As we have the damping coefficient (b), we can calculate the damping ratio (ζ) and natural frequency (ωn) of the system.Damping ratio:$$\mathrm{\zeta = \frac{b}{2\sqrt{km}}}$$where k is the spring constant and m is the mass of the system.Natural frequency:$$\mathrm{\omega_{n} = \sqrt{\frac{k}{m}}}$$where k is the spring constant and m is the mass of the system.Resonant frequency:$$\mathrm{\omega_{d} = \sqrt{\omega_{n}^{2}-\zeta^{2}\omega_{n}^{2}}}$$At resonance, the amplitude of the system will be maximum when forced by a sinusoidal force of frequency equal to the resonant frequency.Resonant frequency:$$\mathrm{\omega_{d} = \sqrt{\omega_{n}^{2}-\zeta^{2}\omega_{n}^{2}}}$$$$\mathrm{\omega_{d} = \sqrt{(6.57)^{2}-(-2.88)^{2}} = 6.98 rad/s}$$Hence, the frequency of applied force at which resonance will occur is 6.98 rad/s.

The frequency of the applied force at which resonance will occur is ω = 2√5 rad/s.

To determine the frequency of the applied force at which resonance will occur, resonance happens when the frequency of the applied force matches the natural frequency of the system. The natural frequency can be determined using the formula:

ωn = √(K / M),

where ωn is the natural frequency, K is the spring constant, and M is the mass of the system.

Substituting the given values of K = 400 N/m and M = 20 kg into the equation, we can calculate the natural frequency ωn.

ωn = √(400 N/m / 20 kg) = √(20 rad/s²) = 2√5 rad/s.

Therefore, the frequency of the applied force at which resonance will occur is ω = 2√5 rad/s.

The correct question is given as,

M= 20kg

Fo = 90 N

ω = 6 rad/s

K = 400 N/m

C = 125 Ns/m

Determine the frequency of applied force at which resonance will occur?

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How can scientists best confirm and validate the results of an experiment so they can publish their findings?

by removing the control from the experiment
by adding more variables to the experiment
by decreasing the number of trials
by creating a replicable experiment

Answers

Answer:

How can scientist best confirm and validate the result of an experiment so they can publish their findings?

Answer:

D. By creating a replicable experiment Is The correct Answer!

Hope this Helps!!

Answer:

D

Explanation:

By creating a replicable experiment

When Apollo 15 astronaut David Scott did his famous freefall experiment on the Moon, he dropped a falcon feather from a height of about 1.6 meters. Assuming a gravitational acceleration of 1.6 m/s2 on the Moon, about how long did it take the feather to drop to the surface?

Answers

The time taken for the feather to drop to the surface, given that the gravitational acceleration is 1.6 m/s², is 1.4 s

How do I determine the time?

From motion under gravity, we understood that height and time are related according to the follwing formula:

h = ½gt²

Where

h is the heightg is the acceleration due to gravityt is the time

Using the above formula, we can obtain the time taken for the feather to drop to the surface. Details below:

Height (h) = 1.6 metersGravitational acceleration (g) = 1.6 m/s²Time taken (t) = ?

h = ½gt²

1.6 = ½ × 1.6 × t²

1.6 = 0.8 × t²

Divide both side by 0.8

t² = 1.6 / 0.8

Take the square root of both side

t = √(1.6 / 0.8)

t = 1.4 s

Thus, the time take is 1.4 s

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as an object falls freely, the kinetic energy of the object * 0/1 a) decreases b) increases c) remains the same d) doubles

Answers

The kinetic energy of an object increases as it falls freely.

Potential energy is transformed into kinetic energy when an object falls freely, and kinetic energy is transformed into heat and sound energy upon impact with the ground.

Following completion of the work, energy is transferred to the object, which further moves at a new, constant speed. The sort of energy that is transferred, kinetic energy, is based on the mass and speed obtained. Kinetic energy is a form of energy that can be transformed into other forms of energy and moved between objects.

When something falls, gravity is the cause of the fall. That object experiences a force, which causes it to accelerate, increasing its fall velocity. Gravitational force—the force the Earth exerts on objects—is a type of acceleration. Everything feels the exact same amount of pull from Earth.

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Using the Rayleigh criterion, one concludes that using fixed wavelength light that it is not possible to resolve details less than about A) 10 wavelengths. B) 122 wavelengths. C) 0.5 wavelength. D) 0.1 wavelength. E) one wavelength.

Answers

Using the Rayleigh criterion, one concludes that using fixed wavelength light, it is not possible to resolve details less than about one wavelength.

The Rayleigh criterion, also known as the Rayleigh's criterion or the Rayleigh limit, states that in order to resolve two closely spaced objects or details, the separation between them must be at least on the order of the wavelength of the light used for observation. This criterion is based on the interference patterns formed by the diffracted light waves. According to the Rayleigh criterion, the minimum resolvable detail is approximately equal to one wavelength. This means that if the separation between two objects or details is less than one wavelength, they will appear as a single blurred or unresolved image. Therefore, option E) one wavelength is the correct answer indicating the limit of resolving details using fixed wavelength light.

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1. Find potential difference of the energy
source for a current of 7 A to be
carried through a Wire.

1. Find potential difference of the energysource for a current of 7 A to becarried through a Wire.

Answers

Answer:

182 V

Explanation:

We do:V=I.R

V is energy so

I = 7

R = 7+7+3+3+6

V= 7.26

V=182

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Please help me with this :) The volume of an irregular solid can be found from its displacement in a known volume of water.Find the volume of an irregular solid if 10.00 mL water in a 25-mL graduated cylinder rises to 17.3 mL when the solid sinks to the bottom of the cylinder and all air bubbles rise to the surface. (Remember to put a space between your numerical value and the unit.) Sample Responses Label axes according to inputand output variables. Plot the ordered pair of theindependent and dependent variable on thecoordinate plane. Identify if there is a relationshipWhich of the following did you include in yourresponse?O Label the x-axis the input variable, age.O Label the y-axis the output variable, texting speed.O Plot the points according to age and texting speed.O Identify a relationship between the change intexting speed as age increases. how do i draw joe /help please Parallel lines n and p are intersected by transversal lines q and m as shown in the figure below. Lines q, m, and p intersect at a common point while working in a lab, you are told to add 0.01396 ml of water to a solution you are preparing. what is this value in scientific notation? Is the square root of 2 equal to 2? true/false. Animal allergens can only infect workers through inhalation, or breathing in small airborne particlesFALSE PLEASE HELP!!!!! All my points Picture below A ladder 20 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. Find the rate at which the angle between the ladder and the wall of the house is changing when the base of the ladder is 16 feet from the wall. Write the chemical formula for the following diagrams. Find the area under the curve for the parametric function defined by the equationsx(t) = 2cost, y(t) = 3sint, and 0 t /2. what does PDA mean in schools? What is the scientific notation for 80 a. Give an example of a situation or problem that would be difficult to test without a model and describe the model you would use.b. Describe a situation from the news or recent history where scientists were called upon to provide explanations of events and offer possible solutions to problems.c. Choose an industry or business. Decide what areas of scientific study they should support and state why you think so.d. Describe one way in which the quality of human life is based on the quality of a natural ecosystem.e. Give an example of a technology or problem that has recently become widespread. Discuss the impact of this technology or problem and contrast that to the way you think others may view the technology or problem. Read the scenario below and identify the Independent Variable, Dependent Variable, the Control group, and at least two Constants. Suggest a hypothesis for each scenario: After studying about recycling in his new issue of Organic Compost Quarterly, members of Filbert's compost club decided to investigate the effect of various recycled products on plant growth. Filbert's friends finally decided to compare the effect of different aged grass compost on Jalapeno pepper plants. Because decomposition is necessary for release of nutrients, the group hypothesized that older grass compost would produce taller pepper plants. Three flats of pepper plants (25 plants/flat) were grown for 5 days. The plants were then fertilized as follows: Flat A: 450 g of three-month-old compost Flat B: 450 g of six-month-old compost Flat C: 0 g of compost The plants received the same amount of sunlight and water each day. At the end of 30 days the group recorded the height of the plants (cm) and then threw a party featuring Jalapeno peppers stuffed with cream cheese! How does the author introduce her thesis? A. with a question B. with a direct statement C. with examples D. with a concluding statement PLEASE HELP DUE TONIGHT Which sequence contains elements listed from most reactiveto least reactive? A factory manufactures two kinds of ice skates: racing skates and figure skates. The racing skates require 6 work-hours in the fabrication department, whereas the figure skates require 4 work-hours there. The racing skates require 1 work-hour in the finishing department, whereas the figure skates require 2 work-hours there. The fabricating department has available at most 120 work-hours per day, and the finishing department has no more than 40 work-hours per day available. If the profit on each racing skate is $10 and the profit on each figure skate is$12, how many of each should be manufactured each day to maximize profit? (Assume that all skates made are sold.)