An insulating plastic rod is charged by rubbing it with a wool cloth, and then brought to an initially neutral conducting metallic sphere sitting on an insulating stand. The rod touches the sphere for a few seconds, and then is separated from the sphere by a small distance. After the rod is separated, the rod:_____
A) is repelled by the sphere.
B) is attracted to the sphere.
C) feels no force due to the sphere.

Answers

Answer 1

Answer:

A) is repelled by the sphere.

Explanation:

When a charged insulated rod is touched with an insulated conducting sphere , some  charge on the rod gets transferred to the sphere . So they become similarly charged . We all know that there is repulsion when two similarly charged object are brought near to each other . Hence here too there will be repulsion between the rod and the sphere when the rod is brought near the sphere.


Related Questions

A projectile is fired straight up with an initial velocity of 40.0 m/s . Approximately how high will the projectile ?

Answers

Answer:

it depends on the wind and any other conditions but if you have a controlled environment it should take 1 second to get 40 meters but it could go higher in which it could take about 5 seconds to go 200 meters

Explanation:

hope it helped

:)

A horizontal spring with spring constant 85 N/mN/m extends outward from a wall just above floor level. A 4.5 kgkg box sliding across a frictionless floor hits the end of the spring and compresses it 6.5 cmcm before the spring expands and shoots the box back out. How fast was the box going when it hit the spring

Answers

Answer:

v = 0.028 m/s

Explanation:

In this case you take into account that all the elastic potential of the box, when the spring is compressed is equal to the kinetic energy of the box before it hits the spring. That is:

\(K=U\)  

\(\frac{1}{2}mv^2=\frac{1}{2}kx^2\)       (1)

m: mass of the box = 4.5kg

k: spring constant = 85N/m

x: compression of the spring = 6.5cm = 0.0065m

You solve the equation (1) for v:

\(v=x\sqrt{\frac{k}{m}}\)           (2)

Next, you replace the values of the parameters:

\(v=(0.0065m)\sqrt{\frac{85N/m}{4.5kg}}=0.028\frac{m}{s}\)

The velocity of the box when it hits the spring is 0.028m/s

A car with an initial speed of 4.30 m/s accelerates
uniformly at the rate of 3.00 m/s2. What is the car's speed
after 5.00 s? How far did it travel in that time?

Answers

Heya!!

For calculate final velocity, lets applicate formula

                                                \(\boxed{V=V_o+a*t}\)

                                                 Δ   Being   Δ

                                            V = Final Velocity = ?

                                         Vo = Initial velocity = 4,3 m/s

                                          a = Aceleration = 3 m/s²

                                                 t = Time =5 s

⇒ Let's replace according the formula:

\(\boxed{V=4,3\ m/s +3\ m/s* 5\ s}\)

⇒ Resolving

\(\boxed{V=19,3\ m/s}\)

Result:

The velocity after 5 sec is 19,3 meters per second (m/s)

For calculate distance, lets applicate formula

                                              \(\boxed{x=V_o*t+\dfrac{a*t^{2}}{2}}}\)

                                                 Δ   Being   Δ

                                               x = Distance = ?

                                         Vo = Initial velocity = 4,3 m/s

                                          a = Aceleration = 3 m/s²

                                                 t = Time =5 s

⇒ Let's replace according the formula:

\(\boxed{x=4,3 * 5 +\dfrac{3*5^{2}}{2}}}\)

⇒ Resolving

\(\boxed{x = 59 \ m}\)

Result:

The distance is 59 meters.

Good Luck!!

What are the magnitude and the direction of the electric field that will allow an electron to fall with an acceleration of 4.3 m/s2?

Answers

Answer:

Explanation:

The acceleration of an electron in an electric field is given by the equation:

a = qE/m

where a is the acceleration, q is the charge of the electron, E is the electric field, and m is the mass of the electron.

Given that the acceleration of the electron is 4.3 m/s^2, and the mass of the electron is 9.11 × 10^-31 kg, and the charge of the electron is -1.6 × 10^-19 C, we can solve for the electric field E:

E = ma/q

E = (4.3 m/s^2) × (9.11 × 10^-31 kg) / (-1.6 × 10^-19 C)

E = -2.44 × 10^4 N/C

The negative sign indicates that the direction of the electric field is opposite to the direction of the electron's motion. Therefore, the magnitude of the electric field required to accelerate an electron with an acceleration of 4.3 m/s^2 is 2.44 × 10^4 N/C and the direction is opposite to the direction of motion of the electron.

A pipe drips at 155 mL/min.
Express this is units of gallons/day.
1. 2.34 gal/day
2. 15.7 gal/day
3. 942 gal/day
4. 58.9 gal/day
5. 223 gal/day
6. 377 gal/day
7. 0.223 gal/day

Answers

We have that the total pipe drip of \(X=155 mL/min.\) expressed in gallons/day is

\(X=58.96gal/day\)

From the Question we are told that

Pipe Drip\(=155 mL/min.\)

Generally

We have that for mL to gallons conversion

\(1mL=0.000264172\)

And

A minute to day con version is

\(1min=0.000694444\)

Therefore

\(X=155 mL/min.\)

\(X=155(\frac{0.000264172}{0.000694444})\)

\(X=58.96gal/day\)

In conclusion

The total pipe drip of \(X=155 mL/min.\) expressed in gallons/day is \(X=58.96gal/day\)

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which of the following are possible explanations for the formation of the meteor crater? multiple select question. volcanic explosion a large pothole formed by swirling water action in an extremely large river large meteoroid collision

Answers

A significant meteoroid collision caused the meteor crater to develop. The right response is option c.

A meteor is a streak of light in the sky that results from a meteoroid colliding with Earth's atmosphere. Meteoroids are rock or iron clusters that orbit the sun.

Meteor Crater, located close to Winslow, Arizona, is one of the most well-known craters on Earth. A 50-meter (164-foot), 150,000-ton meteorite fell into the desert roughly 50,000 years ago, instantaneously creating the crater. The diameter and depth of Meteor Crater are 1.2 km (0.75 miles) and 175 m (575 feet), respectively.

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--The complete question is, which of the following are possible explanations for the formation of the meteor crater?

a. volcanic explosion

b. a large pothole formed by swirling water action in an extremely large river

c. large meteoroid collision--

Please help!!

An arrow is shot straight up in the air from the ground with an initial velocity of 54.0 m/s. If on striking the ground it
embeds itself 15.0 cm into the ground, what is the acceleration required to stop the arrow when it hits the ground?

Please help!!An arrow is shot straight up in the air from the ground with an initial velocity of 54.0

Answers

Answer:

Bath CD jshchdhdhfhfhhfhd jpg de f for frr for gi Jhong GO by be jr jpg be

34 bc of the velocity of the arrow will come down with less dense

what is hookies law of elasticity

Answers

Hooke's law of elasticity is a principle in physics that states that the force required to extend or compress a spring by some distance is proportional to that distance. It is named after the English physicist Robert Hooke, who first stated the law in 1678. Hooke's law is often written as F = -kx, where F is the force applied to the spring, x is the distance it is stretched or compressed, and k is the spring constant, a measure of the stiffness of the spring.

Find the magnitude of the sum of these two vectors:​

 Find the magnitude of the sum of these two vectors:

Answers

Answer:

Explanation:

You can decompose those vectors into their components in x and y direction. For the first vector:

\(\vec{r}_{1}=r_{1}\cos 30\hat{i}+r_{1}\sin 30\hat{j}=3.14(\frac{1}{2}\sqrt{3}\hat{i}+\frac{1}{2}\hat{j})=1.57\sqrt{3}\hat{i}+1.57\hat{j}\)

For the second vector:

\(\vec{r}_{2}=r_{2}\cos 60\hat{i}-r_{2}\sin60 \hat{j}=1.355\hat{i}-1.355\sqrt{3}\hat{j}\)

The sum of two vectors will be:

\(\vec{r}=\vec{r}_{1}+\vec{r}_{2}=(1.57\sqrt{3}+1.355)\hat{i}+(1.57-1.355\sqrt{3})\hat{j}\approx 4.0711\hat{i}-0.77415\hat{j}\)

The magnitude of the sum of two vectors is:

\(r=\sqrt{(4.0711)^{2}+(-0.77415)^{2}}\approx 4.14\) meter

Answer:

4.14m

Explanation:

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At what distance from a 70.0 Watt speaker is the intensity 0.0195 W/m^2

(Treat the speaker as point of the source)


(Unit=meters)


PLEASE HELP ME!

Answers

Answer:

Distance = 16.9 m

Explanation:

We are given;

Power; P = 70 W

Intensity; I = 0.0195 W/m²

Now, for a spherical sound wave, the intensity in the radial direction is expressed as a function of distance r from the center of the sphere and is given by the expression;

I = Power/Unit area = P/(4πr²)

where;

P is the sound power

r is the distance.

Thus;

Making r the subject, we have;

r² = P/4πI

r = √(P/4πI)

r = √(70/(4π*0.0195))

r = √285.6627

r = 16.9 m

Answer:

16.9 m

Explanation:

Let's Think! Each child made a statement two objects are moving, the faster object has more kinetic energy. Energy can be created. For example, power stations create electrical energy ✓ Rachel Terry Steve Who do you think has made an incorrect statement? Write down your explanation. Two objects kept of the same height above the ground have the same gravitational potential energy During energy the energy in one form is converted to another form Some energy is lost who made the incorrect statement? write down your explanation​

Answers

The incorrect statement was made by "Steve" who said, "Energy can be created." The First Law of Thermodynamics states that energy cannot be created or destroyed, only converted from one form to another. Therefore, it is not possible to create energy out of nothing.

How to explain the energy

The other two statements are correct. The statement that "two objects kept of the same height above the ground have the same gravitational potential energy" is based on the fact that gravitational potential energy depends on an object's height above the ground and its mass, but not on its shape or material.

The statement that "during energy transformation, the energy in one form is converted to another form" is also true. When energy is transformed from one form to another, such as from electrical energy to light energy in a light bulb, the total amount of energy remains the same, but it is simply transferred from one form to another.

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The gravitational force between two objects is 50N. If the mass of one object is quadrupled and the distance is doubles, what is the new force?

Answers

If the mass of one object is quadrupled and the distance is doubled, the new gravitational force will be the same or equal to 50 N.

What is gravitational force?

The gravitational force can be thought of as an attracting force that pulls all mass-containing physical objects toward it. It is by far the least powerful known natural force.

The  gravitational force, F, of attraction between two objects, is given mathematically as follows:

F = GM₁M₂/r²

where;

G is the gravitational force constant

M₁ is the first mass

M₂is the second mass

r is the distance of separation

Given that the gravitational force between two objects is 50N.

If the mass of one object is quadrupled and the distance is doubled, the new force will be:

F = 4 * GM₁M₂/(2r)²

F = GM₁M₂/r²

Hence, the force remains the same.

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If you know anything about physics please help me i am extremely confused thank you

If you know anything about physics please help me i am extremely confused thank you

Answers

Each point is at 1-sec time interval, So velocity will be 20 m/s downward at point F.

What is 1st kinematic equation?

Kinematics is a branch of classical mechanics that studies the motion of points, objects, and groups of things without addressing the causes of motion. Kinematics is derived from the Greek word "kinesis," which means "motion."

Kinematic equations are a collection of equations that explain an object's motion with constant acceleration. Integrals, rates of change, and derivatives must be understood in order to solve kinematics problems.

Given that Initial speed of ball = V₁= 30 m/s at point A

Now V₂ = -20 m/s [(-)ve sign since final velocity is downward]

a = acceleration due to gravity = - 10 m/s², So

Using 1st kinematic equation:

V₂ = V₁ + a × t

t = (V₂ - V₁)/a

t = [(-20) -30] / (-10) = 5 sec

So velocity of ball will be 20 m/s in downward direction after 5 sec.

Since each point is at 1-sec time interval, So velocity will be 20 m/s downward at point F.

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George is studying a mechanical wave. He counts thirty crests of the wave pass through a point in 10 seconds.

If What is the frequency of this wave?
Select one:

2 Hz.

20 Hz.

3 Hz.

30 Hz.

Answers

Answer:

Option C

Explanation:

Frequency determines the number of waves that pass through any defined point in a given time period.

Frequency of 1 hertz means that one wave travels through a given point in one second.

By the above definition, we can say

Frequency

\(= \frac{30}{10} \\=3\)

Hence, option C is correct

A veterinarian needs to find the mass of an otter. If the bathroom scale shows 5 kg, what is themass of the otter?

Answers

Mass is measured in kg.

So, the mass is 5 kg

Describe the principle, construction and working of Hydraulic brakes.​

Answers

Answer:

E= mc^2

Explanation:

I don't know.Err.. why don't you ask another person

A simple pendulum is used to measure gravity using the following theoretical equation,TT=2ππ�LL/gg ,where L is the length of the pendulum, g is gravity, andT is the period of pendulum.Twenty measurements of T give a mean of 1.823 seconds and a standard deviation of 0.0671 s. The device used to measure time has a resolution of 0.02 s. The pendulum length is measured once to be 0.823 m (with a scale having a resolution of 0.001 m). Determine the value of g and its uncertainty (assume 90% confidence where necessary). You may use any method of uncertainty propagation that we covered in class.

Answers

Answer:

g ±Δg = (9.8 ± 0.2) m / s²

Explanation:

For the calculation of the acceleration of gravity they indicate the equation of the simple pendulum to use

          T = \(2\pi \sqrt{ \frac{L}{g} }\)

          T² =  \(4\pi ^2 \frac{L}{g}\)4pi2 L / g

          g = \(4\pi ^2 \frac{L}{T^2}\)

They indicate the average time of 20 measurements 1,823 s, each with an oscillation

let's calculate the magnitude

           g = \(4\pi ^2 \frac{0.823}{1.823^2}\)4 pi2 0.823 / 1.823 2

            g = 9.7766 m / s²

now let's look for the uncertainty of gravity, as it was obtained from an equation we can use the following error propagation

for the period

             T = t / n

             ΔT = \(\frac{dT}{dt}\) Δt + \(\frac{dT}{dn}\) ΔDn

In general, the number of oscillations is small, so we can assume that there are no errors, in this case the number of oscillations of n = 1, consequently

              ΔT = Δt / n

              ΔT = Δt

now let's look for the uncertainty of g

             Δg = \(\frac{dg}{dL}\) ΔL + \(\frac{dg}{dT}\)  ΔT

             Δg = \(4\pi ^2 \frac{1}{T2}\)   ΔL + 4π²L  (-2  T⁻³) ΔT

           

a more manageable way is with the relative error

             \(\frac{\Delta g}{g} = \frac{\Delta L }{L} + \frac{1}{2} \frac{\Delta T}{T}\)

we substitute

              Δg = g ( \frac{\Delta L }{L} + \frac{1}{2}  \frac{\Delta T}{T}DL / L + ½ Dt / T)

the error in time give us the stanndard deviation  

let's calculate

               Δg = 9.7766 (\(\frac{0.001}{0.823} + \frac{1}{2} \ \frac{0.671}{1.823}\))

               Δg = 9.7766 (0.001215 + 0.0184)

               Δg = 0.19 m / s²

the absolute uncertainty must be true to a significant figure

                Δg = 0.2 m / s2

therefore the correct result is

               g ±Δg = (9.8 ± 0.2) m / s²

If two adjacent media have the same index of refraction, n, can you observe the phenomena of reflection or refraction?

Answers

Answer: If two materials have exactly the same refractive index (n), you cannot see the difference between the materials

If two adjacent media have the same index of refraction, n, then the phenomenon is refraction.

What is refraction?

Assuming two materials have the very same refractive index, the light goes through with next to no (or negligible) dissipating or refraction. The light voyages straight since it can't recognize any distinction between the two materials, thus the speed of traveling with as little luggage as possible doesn't change (twist).

Examples are eyes and prism.

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_____Except the one one or both of the object very very large mass

a) Large
b) Small
c)Mass
d) physical

Answers

The answer to this is C

List the 6 questions you may apply to formulating a logical, reasonable perspective to any situation.

Answers

Steps to formulate a logical, reasonable perspective to any situation are: gather information, identify problem, analyze the situation, consider assumptions, generate solutions, evaluate options, consider your values, make decision and monitor and adjust

What are the 6 questions that may be applied to formulate logical, reasonable perspective to any situation?

Here are the six questions that you can apply to formulating a logical, reasonable perspective to any situation:

What are the issues that should be addressed?

What are the relevant facts and data related to this problem or issue?

What assumptions am I making about the problem or issue?

What are the possible solutions or outcomes, and what are the pros and cons of each?

What are my values and priorities related to this problem or issue?

What additional information do I need to make an informed decision or come to a reasonable conclusion?

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Which vector is the sum of vectors à and b?

Answers

The vectors addition permits locating the perfect result for the sum of the two vectors in option B).  See attached and the vector is directed to the right and up.

Vector addition is the operation of adding or extra vectors together into a vector sum. The so-known as parallelogram regulation gives the rule for vector addition of or greater vectors. for two vectors and, the vector sum is received via placing them head to tail and drawing the vector from the loose tail to the unfastened head.

A vector is an amount or phenomenon that has impartial residences: importance and direction. The time period also denotes the mathematical or geometrical representation of the sort of quantity. Examples of vectors in nature are velocity, momentum, force, electromagnetic fields, and weight.

Vectors are used in technological know-how to describe something that has a direction and a magnitude. they're commonly drawn as pointed arrows, the length of which represents the vector's importance

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Which vector is the sum of vectors à and b?

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Which vector is the sum of vectors and b?

what are ionic charges

Answers

Answer:

Ionic charges refer to the electrical charges of ions, which are atoms or molecules that have gained or lost electrons. These charges result from the loss or gain of electrons during chemical reactions.

When an atom loses one or more electrons, it becomes a positively charged ion known as a cation. The cation carries a positive charge equal to the number of electrons lost.

Conversely, when an atom gains one or more electrons, it becomes a negatively charged ion known as an anion. The anion carries a negative charge equal to the number of electrons gained.

The magnitude of the ionic charge depends on the number of electrons gained or lost, which is determined by the element's position in the periodic table and its electron configuration. For example, sodium (Na) loses one electron to become a +1 charged cation (Na+), while chlorine (Cl) gains one electron to become a -1 charged anion (Cl-).

Gary is on the space shuttle. It takes off and lifts him to a height of 300 km above Earth's surface.

a. How has Gary's mass changed? Explain.

b. How has Gary's weight changed? Explain.

Answers

Gary's weight at 300 km above Earth's surface is 91% of his weight at the surface.

What is Earth's surface?

The Earth's surface is a living union of its solid crust, atmosphere, hydrosphere, and biosphere, all of which have worked together to create a continually regenerating and dynamic symphony of form. From the Solar System Encyclopedia.

It has a substantial and dynamic surface with mountains, valleys, canyons, plains, and a variety of other features. Earth is unique in that it is an ocean world. 70% of the Earth's surface is covered by water. The Earth's atmosphere is mainly nitrogen, with enough of oxygen for humans to breathe.

a) The mass of an object is an intrinsic attribute, which means that it is determined only by the qualities of the thing and is not affected by its position. As a result, Gary's mass at 300 kilometers above the Earth's surface equals his mass at the Earth's surface.

b) The weight of an object is given by, W = mg

where

m is the mass and g = GM /r²

It is the gravitational acceleration at the location of the object, with G being the gravitational constant, M the mass of the planet and r the distance of the object from the center of the planet.

At the Earth's surface, g = 9.81 m/sec²

so Gary's weight is W = mg

W = 9.81 m  ...........(1)

where m is Gary's mass.

Then, we must calculate the value of g at 300 km above Earth's surface. the Earth's radius is, R = 6370 Km.

So the distance of Gary from the Earth's center is:

r = R + h

r = (6370 +300) Km

r = 6670 km

r = 6.67 × 10⁶ m

The Earth's mass is M = 5.97 × 10²⁴ Kg , so the gravitational acceleration is, g₁ = GM /r²

g₁ = [(6.67 10⁻¹¹ m³ kg⁻¹ s⁻²) × (5.97 × 10²⁴ Kg)] ÷ (6.67 × 10⁶ m)²

g₁ = 8.95 m/sec²

Therefore, Gary's weight at 300 km above Earth's surface is:

W₁ = mg₁

W₁ = 8.95 m  ............(2)

If we compare (1) and (2), we find that Gary's weight has changed by

W₁/W = 8.95 m/ 9.81 m

W₁/W = 0.91

So, Gary's weight at 300 km above Earth's surface is 91% of his weight at the surface.

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Heat can be transferred by conduction when one object is in direct contact with another object. Conduction can occur in solids, liquids, or gases, but it is more effective in A. gases because their particles are moving faster. B. liquids and gases because they occur at higher temperatures. C. liquids because they have a definite volume but not a definite shape. D. solids and liquids because their particles are arranged more closely together.

Answers

Answer:

The correct answer is D. solids and liquids because their particles are arranged more closely together.

Which statement describes the horizontal motion of a horizontally launched projectile?

Answers

Answer:

We have constant motion in horizontal because there is no force acting on our object in horizontal direction.

Explanation:

i need answers
100 points help me nowwww

i need answers100 points help me nowwww

Answers

Answer:

it is c trust me im smart

The __________ of exercise determines the health and fitness benefit of the exercise. A. frequency B. intensity C. time D. type Please select the best answer from the choices provided. A B C D

Answers

Answer:

c- Time

Explanation:

The time will tell depending on the person who is exercising, the rate of time, the  workout time. & limits on weights....

Answer:

The guy above me is wrong the real answer is D

Explanation:

The __________ of exercise determines the health and fitness benefit of the exercise. A. frequency B.

Calculate the quantity of heat energy which must be transferred to 2.25 kg of brass to raise its temperature from 20°C to 240°C if the specific heat of brass is 394 J/kgK.

Answers

The quantity of heat energy that must be transferred to 2.25 kg of brass to raise its temperature from 20 °C to 240 °C is 195030 J

How do i determine the quantity of heat energy?

First, we shall list out the given parameters from the question. This is shown below:

Mass of brass (M) = 2.25 Kg Initial temperature of brass (T₁) = 20 °CFinal temperature of brass (T₂) = 240 °CChange in temperature of brass (ΔT) = 240 - 20 = 220 °CSpecific heat capacity of brass (C) = 394 J/kgKQuantity of heat energy (Q) =?

The quantity of heat energy that must be transferred can be obtained as follow:

Q = MCΔT

= 2.25 × 394 × 220

= 195030 J

Thus, we can conclude quantity of heat energy that must be transferred is 195030 J

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define the term change and state one negative change you may encounter as a student or as an employee in the future​

Answers

Answer:

hey iam bored pls join

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Password: 1111

The term change refers to an alteration of present conditions.

What is change?

The term change refers to an alteration of present conditions. When a change occurs, things cease to be the way they were. As a student, the complexity of academic work increases with time. This is a change that has taken place.

As an employee, you are given real world tasks to accomplish rather than mere mental exercises like when you were a student, this is change that has taken place.

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What is every type of compound

Answers

Answer:

There are four types of compounds, depending on how the constituent atoms are held together: molecules held together by covalent bonds. ionic compounds held together by ionic bonds. intermetallic compounds held together by metallic bonds.

Explanation:

Other Questions
Can I please get help what's a real world scenario that would use sine to solve? If Jamari pays $25 at the beginning of the month, he will pay only $5 per hour for using Vic Sporting facility. The information is recorded in the table on the image inserted. Write an equation for y, the cost of spending x hours at the sporting facility each month. PLS HELPP GUYS !!!! in a hurry !!!!!!! A series of tile patterns is shown below. Consider the function that represents the number of whitetiles in each figureFigure 1Figure 2Figure 3Figure 4Select all statements that are true. Help with #1 I cant get it!! Antonio is a small business owner and files jointly with his spouse. In 2019, he generates $100,000 of net profits from his business. His spouse, Maria, has $4,000 of state income tax withheld from her wages in 2019. They also pay $4,500 in property taxes on their home. Antonio determines that their state income taxes associated with his business are about $5,600 and makes estimated state income tax payments of that amount in 2019. How much should Antonio and Maria deduct for state taxes _____ can be used as collateral for up to 95 percent of the policy's cash value.Real estateInsurance policiesEquipmentAccounts receivable Why were strikes successful union actions?o They were well organized.O The public recognized their determination.O The government approved of them.o They stopped businesses from earning profits. which structure is larger cell, organ , multicellular or cell structure Who provide information that helps us plan our daily activities Las atletas __________ deportes. HELP!! DUE IN 10 MIN mis primos _____ ocho horas anoche. In response to nutrition concerns raised last year about food served in school cafeterias, the Smallville School District entered into a one-year contract with the Healthy Alternative Meals (HAM) company. Under this contract, the company plans and prepares meals for 2,500 elementary, middle, and high school students, with a focus on good nutrition. The school administration would like to survey the students in the district to estimate the proportion of students who are satisfied with the food under this contract. Two sampling plans for selecting the students to be surveyed are under consideration by the administration. One plan is to take a simple random sample of students in the district and then survey those students. The other plan is to take a stratified random sample of students in the district and then survey those students. (a) Describe a simple random sampling procedure that the administrators could use to select 200 students from the 2,500 students in the district. (b) If a stratified random sampling procedure is used, give one example of an effective variable on which to stratify in this survey. Explain your reasoning> Keilantra has $660 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.She buys a new bicycle for $488.20.She buys 2 bicycle reflectors for $11.17 each and a pair of bike gloves for $19.05.She plans to spend some or all of the money she has left to buy new biking outfits for $37.26 each.Write and solve an inequality which can be used to determine xx, the number of outfits Keilantra can purchase while staying within her budget. In 2010, the video chain Blockbuster closed the last of its stores after falling victim to a growing number of video delivery methods such as downloads, streaming, and movies-on-demand. It was a victim of ____________ media technologies what the meaning of blessed is the man who walks not in the counsel of the ungodly An active lifestyle is associated with healthful sleep patterns, while a sedentary, or inactive, lifestyle is often associated with sleep deprivation. (9 points) a. Describe the guidelines for how much sleep a teenager should get. b. Explain how a sedentary lifestyle might lead to sleep deprivation. c. How could sleep deprivation cause a serious health problem if it is not addressed? Be specific. X^2-5x-6X^2+3x-40X^2+3x-4