A force of 75 N is applied to a spring, causing it to stretch 0.3 m. What is the spring constant of the spring?

0.004 N/m
22.5 N/m
75.3 N/m
250 N/m

Answers

Answer 1
the answer is D. 250 N/m 
Answer 2

Answer:

D 250

Explanation:

EDGE


Related Questions

Pushing on the pump of a soap dispenser compresses a small spring. When the spring is compressed 0.54 cm, its potential energy is 0.0025 J.
(a) What is the force constant of the spring? (answer is in kN/M)
(b) What compression is required for the spring potential energy to equal 0.0078 J? (answer is in cm),

Answers

We know, U of spring = (kx^2)/2 k = spring constant x = deflection from mean position a) Here, x = 0.54 cm = 0.0054 m U= 0.0025 J k = 2U/x^2 k = 0.0050/ (0.0054^2) k = 0.171 kN/m b) x = (2U/k) ^ 1/2 x = (0.0156/171) ^ 1/2 x = 0.0095 m x = 0.95 cm

The force constant of the spring is roughly0.171 kN/ m. The contraction  needed for the spring's implicit energy to equal0.0078 J is roughly0.381 cm.

To calculate the force constant of the spring( k), we use the formula for the implicit energy of a compressed or stretched spring, which is U = 1/2 k x2. Rearranging this formula to  break for k gives k =  2U/ x2. Substituting U = 0.0025 J and x = 0.54 cm( or0.0054 m) into the formula yields k = ( 2  J)/(0.0054 m) 2. Calculating this, we find k = 171.296 N/ m or  roughly0.171 kN/m.

For part( b), when seeking the  contraction  needed to produce a implicit energy of0.0078 J, we start from the formula U = 1/2 k x2 again. fitting the implicit energy U = 0.0078 J and the  preliminarily calculated force constant k = 171.296 N/ m into the formula and  working for x delivers x = sqrt(2 extasteriskcentered0.0078 J)/171.296 N/ m). This results in an x value of roughly0.00381 m or0.381 cm.

if you look inside the bowl of a shiny metal spoon, your image is upside down. if you look at the outside of the bowl, your image is right side up. explain.

Answers

Because one side of the spoon is convex and the other side is concave, the spoon’s different sides reflect differently.

If you put in 10 J of work to push 1 c of charge against and electric field what will be its voltage with respect to its starting position?when released, what will be it’s kinetic energy if it flies past it’s starting position?

Answers

Answer:

Explanation:

A one volt change in potential means that the potential electrostatic energy changes by one Joule per Coulomb.

Since you would be pushing the charge against the field, and expend 10 J, the voltage would be 10 Volts higher.

That 10 J will be converted to kinetic energy if the charge flies back to the starting position without friction.

Final answer:

The voltage created when pushing 1 C of charge with 10 J of work is 10 V. Upon release, if no other forces act on the charge, it would have a kinetic energy of 10 J when it flies past its starting position.

Explanation:

When 10 J of work is done to push 1 C of charge against an electric field, the voltage (or electric potential difference) with respect to its starting position can be found using the formula V = W/Q, where V is the voltage, W is the work done, and Q is the charge. Therefore, V = 10 J / 1 C = 10 V.

According to the principle of conservation of energy, if no other forces act on the charge when it is released, all the potential energy will be converted into kinetic energy as it flies past its starting position. Therefore, the kinetic energy (KE) at that point will be equal to the work previously done on the charge, so KE = 10 J.

When air is heated enough so that it is warmer than the surrounding air, it is?

Answers

To be "unstable", the lowest layers of an air mass must be so warm and/or humid that, if some of the airrises, then that air parcel is warmer than its environment, and so it continues to rise. This is called moist convection.

The answer is Unstable air

What is the acceleration of a 24 kg mass pushed by a 6N force?

Answers

0.25 m/s squared

hope this helps x

Which formulas show the relationships between momentum, mass, and velocity? Check all that apply. p = mv p = p = m = p = v = v =

Answers

Answer: Option (a) is the correct answer.

Explanation:

Momentum is defined as the ability or tendency of an object to continue moving.

Also, momentum is the product of mass and velocity. It can be shown as follows.

                      p = m × v

where,     p = momentum

               m = mass

               v = velocity

Thus, we can conclude that out of the given options, the formula p = mv show the relationship between momentum, mass, and velocity.

Answer:

A,D,F

Explanation:

A battery charger is connected to a dead battery and delivers a current of 3.5 a for 4 hours, keeping the voltage across the battery terminals at 16 v in the process. how much energy is delivered to the battery?

Answers

The power delivered is equal to the product between the voltage V and the current I:
[tex]P=VI=(16 V)(3.5 A)=56 W[/tex]

This power is delivered for a total time of [tex]t=4h=4 \cdot 3600 s = 14400 s[/tex], so the total energy delivered to the battery is
[tex]E=Pt = (56 W)(14400 s)=806400 J=806.4 kJ[/tex]

The energy delivered to the battery by the charger is calculated using the formula E = P times t, with P = I times V. It turns out to be 806,400 joules.

The question involves calculating the energy delivered to a battery by a battery charger. To find this, we use the formula Energy (E) = Power (P) times Time (t), where Power (P) is the product of the current (I) and the voltage (V). Here, the battery charger delivers a current of 3.5 A for 4 hours (time) and maintains a constant voltage of 16 V. Therefore, we calculate the energy as follows:

Energy (E) = Power (P) times Time (t)

Power (P) = Current (I) times Voltage (V) = 3.5 A times 16 V

Energy (E) = (3.5 A times 16 V) times 4 hours

Energy (E) = 56 W times 4 hours = 224 Wh

Since 1 Wh = 3600 J, Energy (E) = 224 times 3600 J

Energy (E) = 806,400 joules

So, the battery charger delivers 806,400 joules of energy to the battery.

Although objects can go through physical and changes, the amount of matter in those objects remains the same. This is known as the Law of Conservation of Matter. Matter can be broken into smaller pieces, dissolve in liquids, change physical states, and undergo other changes while still conserving its mass. Which pairs of matter demonstrate the law of conservation? * A structure made of building blocks * The blocks of the same structure bundled in a pile with the extra binding material * A snowman * The melted remains of the same snowman * A lump of clay * The same lump broken into three pieces * 1 cup of water and one gram of salt, separated * The same cup of water with two grams of salt mixed in * A lump of clay * An identical lump added to the original * One apple * The same apple cut into slices Submit An

Answers

* A structure made of building blocks
* The blocks of the same structure bundled in a pile

* A snowman
* The melted remains of the same snowman

* A lump of clay
* The same lump broken into three pieces

* 1 cup of water and one gram of salt, separated
* The same cup of water with one gram of salt mixed in


* One apple
* The same apple cut into slices

Answer:

A snowman

* The melted remains of the same snowman

A lump of clay

* The same lump broken into three pieces

One apple

* The same apple cut into slices

Explanation:

Calculate the force on an object that has a mass of 12 kg and an acceleration of 4 m/s^2

Answers

Remember Newton's Second Law F = mass * acceleration

mass = 12 kg
acceleration = 4 m/s^2

F = 12 * 4 = 48 N

Jill pulls on a rope to lift a 12 kg pail out of a well, while the clumsy Jack watches. For a 10.0 meter segment of the lift, she lifts the bucket straight up at constant speed. How much power is required to complete this task in 5.0 seconds?

Answers

Definition of power is the amount of work done per unit of time:
[tex]P=\frac{W}{t}[/tex]
We need to calculate the work done by Jill. 
Work is defined as the force acting along the path: 
[tex]W=F\cdot h[/tex]
In this case, Jill is working against the force of gravity along the path of 10 meters:
[tex]W=mgh=12\cdot9.81\cdot 10=1177.2 J[/tex]
Now we can calculate the power:
[tex]P=\frac{1177.2}{5}= 235.44 W[/tex]

To lift a 12 kg pail at a constant speed over a distance of 10 meters in 5 seconds, Jill requires a power of 235.44 W. This is calculated using the weight of the pail, the distance lifted, and the time taken.

To determine how much power is required to lift a 12 kg pail straight up at a constant speed over a distance of 10 meters in 5 seconds, we can follow these steps:

1. Calculate the force needed: Since the pail is moving at a constant speed, the force needed to lift it is equal to its weight.

The weight (force due to gravity) is given by:

F = m  imes g, where m = 12 kg and g = 9.81 m/s².So, F = 12 kg  imes 9.81 m/s² = 117.72 N

2. Calculate the work done: Work done in lifting the pail can be calculated as:

W = F  imes d, where d = 10 m.So, W = 117.72 N  imes 10 m = 1177.2 J

3. Calculate the power required: Power is the rate at which work is done. It can be calculated as:

P = W / t, where t = 5 seconds.So, P = 1177.2 J / 5 s = 235.44 W

Therefore, the power required to lift the pail at a constant speed over the specified distance in the given time is 235.44 W.

The difference in temperature between 100°C and 101°C is _____ the difference between 100K and 101K.

Answers

The missing word is "equal".

In fact, The relationship between temperature in Celsius and temperature in Kelvin is
[tex]T(^{\circ}C) = T(K)-273.15[/tex]
So, the absolute value of the two temperatures are different. However, there is a direct proportionality between the temperature in Celsius and the temperature in Kelvin, this means that temperature differences are equal in both units.

Let's see this with an example: let's call [tex]T_1 (C)[/tex] and [tex]T_2 (C)[/tex] two different temperatures in Celsius, and let's rewrite them in Kelvin using the previous relationship:
[tex]T_2 (C)-T_1 (C) = T_2(K)-273.15-(T_1(K)-273.15) = T_2(K)-T_1(K)[/tex]
as we can see, both the 273.15 cancel out and so the temperature difference in Celsius is equal to the temperature difference in Kelvin.

The region around the nucleus occupied by the electrons is called

Answers


The region around the nucleus occupied by the electrons is called the- electron cloud

Orbittal is referred to the region around the nucleus occupied by the electrons.

What is a Nucleus?

This can be defined as a small, dense region consisting of protons and neutrons and is usually located at the center of an atom.

The electrons are present around the nucleus in a region which is referred to as orbittal and are actively involved in  chemical reactions.

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The net force acting on a 5 kg discus is 50 n. what is the acceleration of the discus

Answers

Final answer:

The acceleration of the 5 kg discus is 10 m/s², calculated using Newton's second law of motion.

Explanation:

The acceleration of the 5 kg discus can be found using Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and its acceleration (F = ma). Given the net force (50 N) and the mass of the discus (5 kg), we can rearrange the formula to solve for acceleration (a = F/m).

Now, substituting the given values into the equation, we have:
a = 50 N / 5 kg

After performing the calculation, the acceleration of the discus is:
a = 10 m/s

Help Please..?
A 20-kg barrel is rolled up a 20-m ramp to the back of a truck whose floor is 5.0 m above the ground. What work is done in loading one barrel into the truck?
A:980J
B:19,600J
C :4900J
D :imposible to tell because velocity is not given.,

Answers

The answer is {A} 980 J. To obtain this answer you would use your Sin function on the calculator: Sin θ = 5 / 20 = 0.25 therefore θ = 14.4775° F net = m g sin θ = 20 * 9.8 * 0.25 = 49N W = F * d = 49 * 20 = 980 J ( my phone keyboard does not include the θ I had to copy the solution to “show the work” )

HELP PLEASE .
Which of the following is an example of transuranium element ?
Samarium
Uranium
Thorium
Curium

Answers

Curium is the first transuranium element, with an atomic number of 96.

Hence, the correct option is D.

Samarium, uranium, and thorium are all elements with atomic numbers less than 92, which is the atomic number of uranium. Curium is the first transuranium element, with an atomic number of 96. It was discovered in 1944 by Glenn T. Seaborg and his colleagues at the University of California, Berkeley.

Curium is a radioactive element that decays into other elements, such as plutonium and barium. It has a variety of applications, including in nuclear weapons and medical research.

The other elements in the question are not transuranium elements. Samarium is an lanthanide element with an atomic number of 62. Uranium is an actinide element with an atomic number of 92. Thorium is an actinide element with an atomic number of 90.

Therefore, Curium is the first transuranium element, with an atomic number of 96.

Hence, the correct option is D.

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The blocking of sunlight to earth that occurs when the moon is directly between the sun and earth

Answers

If this is a question then this is called an eclipse.

PLEASE HELP WILL MEDAL !!!
In the water cycle, which state of matter is water vapor?

solid
liquid
gas
plasma

Answers

water is vapor in gas. Solid - snow liquid - warer
Gas form is the answer

"A circuit consists of a battery and two resistors connected in parallel. If the resistance in both resistors is doubled, and the current is kept constant, how does the voltage change?"

Why is the voltage doubled?,

Answers

Let's call R the value of the resistance of the two resistors. In the first situation, the resistors are connected in parallel, so their equivalent resistance is given by:
[tex]\frac{1}{R_{eq}}=\frac{1}{R}+\frac{1}{R}=\frac{2}{R}[/tex]
which means:
[tex]R_{eq}=\frac{R}{2}[/tex]
And calling I the current in the circuit, the voltage is given by Ohm's law:
[tex]V=IR_{eq}=\frac{IR}{2}[/tex]

In the second situation, the resistance of each resistor is doubled: R'=2R. So, the equivalent resistance in this case is given by
[tex]\frac{1}{R_{eq}}=\frac{1}{2R}+\frac{1}{2R}=\frac{2}{2R}=\frac{1}{R}[/tex]
which means
[tex]R_{eq}=R[/tex]
And the new voltage is given by:
[tex]V'=IR_{eq}=IR=2V[/tex]
which is twice the original voltage, so the voltage has doubled.


Answer:

If the resistance in both resistors is doubled, then voltage gets doubled.

Explanation:

It is given that, A circuit consists of a battery and two resistors connected in parallel.

In parallel combination of resistors the potential difference remains the same while the current divides. The equivalent resistance is given by :

[tex]\dfrac{1}{R_{eq}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}[/tex]      

Initial condition, Let R₁ = R₂ = R

So, [tex]\dfrac{1}{R_{eq}}=\dfrac{1}{R}+\dfrac{1}{R}[/tex]

[tex]{R_{eq}=\dfrac{R}{2}[/tex]  

Using Ohm's law,          

[tex]V=IR_{eq}=\dfrac{IR}{2}[/tex]...............(1)

Final condition, If the resistance in both resistors is doubled, and the current is kept constant.

So, [tex]\dfrac{1}{R'_{eq}}=\dfrac{1}{2R}+\dfrac{1}{2R}[/tex]      

[tex]{R'_{eq}=R[/tex]  

Voltage, [tex]V'=IR'_{eq}=IR[/tex]............(2)

From equation (1) and (2),

[tex]V'=2V[/tex]

So, the new voltage gets doubled. Hence, this is the required solution.    

The radio source ________ is located in a place consistent with the center of our galaxy.

Answers

The answer for this completion exercise is: "Sagittarius A (Sgr A)". This is located in a constellation called Sagittarius.

 Therefore, the complete sentence is shown below:

 The radio source "Sagittarius A (Sgr A)" is located in a place consistent with the center of our galaxy. 

how can you find the total displacement during the time interval of a graph?

please help totally lost :/

Answers

Answer: in a space vs time graph, the displacement is the difference between the y coordinates of the initial and final points; in a velocity vs time graph, the displacement is given by the area included between the line describing the velocity, the x-axis and the vertical lines indicating the time interval of interest.

Space vs time graph
See the first picture attached.

Such a graph is a Cartesian plane with time on the x-axis and position on the y-axis describing the motion of an object.

The displacement between two moments in time t₁ and t₂ is calculated as the difference between the initial and the final position:
Δs = s(t₂) – s(t₁)

Therefore, the displacement is the difference between the y coordinates of the initial and final points.

Velocity vs time graph
This graph is very similar to the previous one, a Cartesian plane with time on the x-axis but velocity on the y-axis.

Let’s see the easiest case (see the second picture attached): the object moves at constant velocity, which will be graphed as a horizontal line.

In this kind of motion, we know that the displacement is given by the formula:
Δs = v × Δt

As you can see from the graph, this is the area of the rectangle that has as a base the time interval and as a height the velocity.

Similarly, if the object moves with accelerated motion with initial velocity not equal to zero (see the third picture attached), the displacement is given by the formula:
s = v₀·Δt + (1/2)·a·Δt²
  = v₀·Δt + (1/2)·Δv ·t

which corresponds to the sum of the area of the triangle rectangle having as legs the time interval and the difference between the final and the initial velocity and the area of the rectangle having as a base the time interval and as a height the initial velocity.

We can then say that, in general, in a velocity vs time graph, the displacement is given by the area included between the line describing the velocity at any point, the x-axis and the vertical lines indicating the time interval of interest. 

Answer:

Area under v-t graph = total displacement

Explanation:

The area under velocity time graph gives the total displacement of any object. Th attached figure shows a velocity time graph. In which the y axis shows the velocity and x axis shows the time taken.

The velocity is from 0 to 20 m/s and time is from 0 to 15 s. The total displacement is given by the area of region OABC.

So, d = 2 × area of triangle + area of rectangle

[tex]d=2\times \dfrac{1}{2}\times 5\times 20+5\times 20[/tex]

d = 200 m

The total displacement covered by an object in this case is 200 m. Hence, the total displacement during the time interval of a graph can be determined by v-t graph.

You are standing in front of a flat large mirror. As you step 1.0 m farther from the mirror, the distance between you and your image changes by __________.
(Points : 1)

0 m

1.0 m

2.0 m

0.5 m,

Answers

The distance between you and your image changes by 2.0m. The reason for this is that you are 1m farther from the mirror and your reflection is also an additional 1m further away due to the symmetry.

Which was an idea used to promote the theory of plate tectonics

Answers

A. Mountain ranges linking in England and America

Final answer:

The theory of plate tectonics was promoted by the idea of continents drifting over time, which was proposed by Alfred Wegener. This concept was supported by evidence from fossils and rock formations, eventually leading to the development of the theory of plate tectonics.

Explanation:

One idea used to promote the theory of plate tectonics is the concept of continents drifting over time. This idea was first proposed by Alfred Wegener in the early 20th century. He pointed out that the continents appeared to fit together like puzzle pieces, and he used evidence from fossils and rock formations to support his hypothesis of continental drift. Eventually, this idea led to the development of the theory of plate tectonics, which explains how the Earth's crust is divided into several plates that move and interact with each other.

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Which description BEST explains the direction of the moving force of air?

Answers

Out of the choices given, the best choice to explain the direction of the moving force of air is from area o high pressure to areas of low pressure. 

If the man on the left pulls on the object with a force of 500 N and the man on the right pulls on the object with a force of 750 N, what is the net force exerted on the object?
A.
1250 N to the right
B.
1250 N to the left
C.
250 N to the right
D.
250 N to the left

Answers

force is a vector quantity
so pulling from opposite side will be negative
so
750+(-500)= 250N
C is the right answer
becauseause the man on the right applies greater force.

Which phrase best describes a savanna biome?

Answers

Grasslands making up half of the African continent
Is home to scattered, drought-tolerant trees - APEX

during a neap tide, which phase could the moon be in? select all that apply
a. new
b. third quarter
c. first quarter
d. full

Answers

Hello,

Here is your answer:

The proper answer to this question is option B "third quarter".

Here is how:

Neap tides are caused when the moon is three thirds full which causes the current to up rise therefore making a neap tide.

Your answer is B.

If you need anymore help feel free to ask me!

Hope this helps!


Answer:

b. third quarter

c. first quarter

Explanation:

Neap tides happen in the third and first quarter of the moon phase, when the moon appears to be half full, this is because of the position of the moon and the gravitational force of the moon attracting the tides along with the gravitational force of the sun, tha causes high tides on new, and full phases, but the third quarter and first quarter, the moon makes a 90º line with the solar gravitational forces, cancelling out both forces making it low tide or neap tide.

A hockey puck is hit on a frozen lake and starts moving with a speed of 12.0 m/s. exactly 5.0 s later, its speed is 6.0 m/s. what is the puck's average acceleration? what is the coefficient of kinetic friction between the puck and the ice?

Answers

1) In an uniformly accelerated motion, the acceleration is given by:
[tex]a= \frac{v_f-v_i}{\Delta t} [/tex]
where [tex]v_f[/tex] is the final speed, [tex]v_i[/tex] is the initial speed, and [tex]\Delta t[/tex] is the time interval between the initial and final point of the motion.

Using the data of the problem: [tex]v_i = 12.0 m/s[/tex], [tex]v_f = 6.0 m/s[/tex], and the time [tex]\Delta t = 5.0 s[/tex], the acceleration is
[tex]a= \frac{6 m/s-12 m/s}{5.0 s}=-1.2 m/s^2 [/tex]
where the negative sign means that the hockey puck is decelerating.

2) The frictional force F between the puck and ice is responsible for the deceleration of the puck, and for second Newton's law this force is equal to the product between the mass of the puck m and the acceleration:
[tex]F=ma[/tex] (1)
The frictional force can also be written as
[tex]F=-\mu_D mg[/tex] (2)
where [tex]\mu_D [/tex] is the coefficient of kinetic friction, and where the negative sign is due to the fact that the frictional force acts against the direction of motion of the puck. By equilizing (1) and (2) we can find the value of this coefficient:
[tex]ma=-\mu_D mg[/tex]
[tex]\mu_D = -\frac{a}{g}= -\frac{-1.2 m/s^2}{9.81 m/s^2}=0.12 [/tex]

a. The puck's average acceleration is equal to -1.2 [tex]m/s^2[/tex].

b. The coefficient of kinetic friction between the puck and the ice is 0.122.

Given the following data:

Initial speed = 12.0 m/sTime = 5.0 seconds.Final speed = 6.0 m/s

a. To find the puck's average acceleration:

Mathematically, acceleration is given by the formula;

[tex]Acceleration = \frac{V_f\; - \;V_i}{t}[/tex]

Where:  

V is the final velocity. U is the initial velocity. t is the time measured in seconds.

[tex]Acceleration = \frac{6\; - \;12}{5}\\\\Acceleration = \frac{-6}{5}[/tex]

Average acceleration = -1.2 [tex]m/s^2[/tex]

b. To find the coefficient of kinetic friction between the puck and the ice:

The frictional force acting between the puck and the ice is given by the formula;

[tex]F = uN = -umg\\\\F = -umg\\\\\frac{F}{m} = -ug[/tex]....equation 1.

But, [tex]a = \frac{F}{m}[/tex]   ....equation 2.

We know that acceleration due to gravity (g) of an object is equal to 9.8 meter per seconds square.

[tex]a = -ug\\\\u = \frac{-a}{g}\\\\u = \frac{-(-1.2)}{9.8} \\\\u = \frac{1.2}{9.8}[/tex]

Coefficient of kinetic friction, u = 0.122

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Today's Apple Mac computers run with the same internal hardware as the Windows-based PC.
(Points : 2)
True
False

I think it true

Answers

The statement Today's Apple Mac computers run with the same internal hardware as the Windows-based PC is true.  Mac computers are Windows-based PC because windows has a connection with apple because the idea of it came from one person.

Durante uma corrida de carros, o piloto da escuderia ganhadora percorreu a primeira volta da pista com velocidade media de 310 km/h. o que podemos dizer sobre as velocidades maxima e minima

Answers

A velocidade mínima é 0. A velocidade máxima é inferior ou igual a 620 km/h.
buena suerte mi amigo

Which best describes how heat flows? A. Heat flows from a warmer object to a colder object. B. Heat flows in any direction. C. Heat flows from a colder object to a warmer object. D. All objects transfer to their heat to all other objects.

Answers

Heat flows from a warmer object to a colder object

The statement which best describes how heat flows is that the heat generally flows from a warmer object to a colder object. Therefore, the correct option is A.

The mechanism of heat flow significantly describes the transfer of heat energy or enthalpy from one object to another. It is transferred through the process of conduction, convection, and radiation.

The object that is warmer in appearance may accumulate heat in enough amounts. This leads to an increase in its temperature and energy, While the mechanism of heat transfer generally initiates this warmer object to a colder object by conduction.

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Which of these events occurred last?a.germany invades poland.b.japan attacks pearl harbor.c.united states drops the atomic bombs on hiroshima and nagasaki.d.soviet army defeats the german army at the battle of stalingrad? Which statement about pronouns ending in -self (such as myself and itself) is true? Pronouns ending in -self don't need an antecedent. Pronouns ending in -self are called extra pronouns. Pronouns ending in -self are used only in colloquial speech. Pronouns ending in -self may not be used as subjects. What is the answer and I dont know what to do When a workgroup is high in ________________ deceit, amorality, and rudeness tend to be more pronounced? a small fictional country had a population of 2,254,000 people in the year 2000. if the population grows steadily at a rate of 3.5% each year, what is the expected population of this country in the year 2015 to the nearest 1000? Help with this question When the cs is repeatedly presented in the absence of the ucs (food, in this case), the cr will "die out" in a process called ______________? Find the AGI and taxable income:Gross Income$30,856Adjustments$7501 Exemption$8200Deduction$2,300$31,200 and $20,601$30106 and $19,606$29,586 and $18,505$28,863 and $17,6361 points QUESTION 5Find the AGI and taxable income.Gross Income$67,890Adjustments$03 Exemptions$24,600Deduction$1469$69,440 and $45,300$68,990 and $42,831$67,890 and $41,821$65,551 and $44,8211 points QUESTION 6Find the AGI and taxable income.Gross income$19,723Adjustments$2551 Exemption$8200Deduction$1430$19,4 Help!! So confused!Dante is making a necklace with 18 rows of tiny beads in which the number of beads per row is given by the series 3 + 10 + 17 + 24 + ... a. Use summation notation to write the series. Explain what the numbers in the summation notation represent in this situation and how you found the expression used in the summation. b. Find the total number of beads in the necklace. Explain your method for finding the total number of beads. a storage tank has the dimensions shown below how many storage tanks are needed to contain 60000 cubic meters of liquid Calculate the external pressure that must be applied to seawater, 1.14 M total ion concentration at 10 degrees C if the maximum concentration allowed in the product water is 176 mg/L. Assume that all the dissolved salts in the product water is sodium chloride.So, I know that I need to subtract the ion concentrations before using the pi=MRT formula, but I can't figure out how to convert mg/L into molarity. Please help! 1. Find all the real square roots of 0.0064. (1 point)0.25298 and 0.252980.0253 and 0.02530.08 and 0.080.0032 and 0.00322. Find the real-number root. (1 point)0.6051.11.1no real number root A supermarket places its store brand of blackberry jam priced at $5 per jar in the fruit preserves aisle, alongside the jam jars of a better known brandwhose products are priced at $8 apiece. store managers reason that customers are more likely to choose the store brand instead of the better-known brand when they realize the price difference. what price adjustment strategy is evident in the supermarket's reasoning What are excise taxes? What are the two main sources of income for the federal government? How does the government spend the nondefense discretionary part of the federal budget? What are entitlements? Which is the polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and roots square root of 5 and 2? please help!! Assume the given triangular prism and rectangular prism have equal cross sections. Also assume the length and width of the rectangular prism's cross section are equal. If the volume of the triangular prism is V = 50h, then what is the length of the rectangular prism? nitially a pool contains 350 gallons of water. A hose is placed in the pool and the water is turned on. The hose adds 5.2 gallons of water per minute. Model the total amount, V, of water in the pool for x, the number of minutes the hose has been on. Lorne subtracted 6x3 2x + 3 from 3x3 + 5x2 + 4x 7. Use the drop-down menus to identify the steps Lorne used to find the difference. 1. (3x3 + 5x2 + 4x 7) + (6x3 + 2x 3) 2. (3x3) + 5x2 + 4x + (7) + (6x3) + 2x + (3) 3. [(3x3) + (6x3)] + [4x + 2x] + [(7) + (3)] + [5x2] 4. 9x3 + 6x + (10) + 5x2 5. 9x3 + 5x2 + 6x 10 What do the words "chanting loudly in an autumn wind" describe economists often use production possibilities graphs to determine profit. True or False