) A 73-mH solenoid inductor is wound on a form that is 0.80 m long and 0.10 m in diameter. A coil having a resistance of is tightly wound around the solenoid at its center. The mutual inductance of the coil and solenoid is At a given instant, the current in the solenoid is and is decreasing at the rate of At the given instant, what is the induced current in the coil

Answers

Answer 1

Complete question is;. A 73mH solenoid inductor is wound on a form that is 0.80m long and 0.10m in diameter a coil having a resistance of 7.7 ohms is tightly wound around the solenoid at its center the mutual inductance of the coil and solenoid is 19μH at a given instant the current in the solenoid is 820mA and is decreasing at the rate of 2.5A/s at the given instant what is the induced current in the coil

Answer:

6.169 μA

Explanation:

Formula for induced EMF is given by the equation;

EMF = M(di/dt). We are given;

di/dt = 2.5 A/s

M = 19μH = 19 × 10^(-6) H

Thus;

EMF = 19 × 10^(-6) × 2.5.

EMF = 47.5 × 10^(-6) V

Formula for current is;

i = EMF/R. R is resistance given as 7.7 ohms.

Thus; i = 47.5 × 10^(-6)/7.7

i = 6.169 μA


Related Questions

Steam at 6 MPa, 400C is flowing in a pipe. Connected to this pipe through a valve is a tank of volume 0.4 m 3 . This tank initially contains saturated water vapor at 0.1MPa. The valve is opened and the tank fills with steam until the pressure is 6MPa, and then the valve is closed. The process takes place adiabatically. Determine the temperature in the tank right as the valve is closed.

Answers

Answer:

2400°C

Explanation:

Volume of tank = 0.4 m^3

steam pressure = 6 Mpa

Steam temperature = 40°C

Initial pressure of tank = 0.1 MPa

Final pressure of Tank = 6 Mpa

Calculate the temperature in the tank when the Pressure in Tank = 6Mpa

since the volume of the Tank is constant = 0.4 m^3

we will apply Gay-Lussac's Law

= [tex]\frac{T1}{P1} = \frac{T2}{P2}[/tex]  ------ ( 1 )

T1 =  40°c

P1 = 0.1 MPa

P2 = 6 Mpa

T2 = ?

From equation 1 above

T2 = ( T1 * P2 ) / P1

     = ( 40 * 6 ) / 0.1

     = 2400°C

HELP ASAP PLS

A balloon with a positive charge will stick to a wall that has a negative charge.
What force causes this?
A. Gravity
B. Electric force
C. Magnetic force
D. Air gesistance

Answers

Answer : B. electric Force

The reason that the balloon will stick to the wall is because the negative charges in the balloon will make the electrons in the wall move to the other side of their atoms (like charges repel) and this leaves the surface of the wall positively charged.


If I’m wrong I’m sorry :(

What composes about 71% of Earth's outermost layer?
A
oceanic crust
B
asthenosphere
С
lithosphere
D
continental crust

Answers

Answer:

A. oceanic crust

Explanation:

I remember that the ocean is said to cover 71% of the Earth's surface. If you look at a globe, notice that most all the surface is blue like the ocean.

One other note: the surface is the Earth's outermost layer. Think of it this way: surface implies the top of something, something exposed to the outside.

Therefore, the answer is A. Hope this helps you understand the question more! Have a great day, 'kay?

Two balls are thrown against a wall with the same velocity. The first ball is made of rubber and bounces straight back with some non-zero speed. The second ball is made of clay and sticks to the wall after impact. If we assume the collision time was the same for each ball, which ball experienced a greater average acceleration during the collision with the wall? A. the average acceleration was the sameB. the clay ball C. there is not enough information D. the rubber ball

Answers

Answer:

A. the average acceleration was the same

Explanation:

Acceleration is calculated by finding the difference of the initial velocity from the final velocity (on impact, usually 0) and then dividing by the amount of time that took place. If we assume that both balls were thrown at the same initial force, and ended up hitting the wall at the same time then we can say that the average acceleration was the same. If the initial velocity was not the same then we would need the initial velocity of each ball in order to calculate the acceleration of each object and determine which had a greater acceleration.

Which of the following variables can be measured in joules?
A. momentum
B. Energy
C. Power
D. Work

Answers

Answer:

The variables that can be measured in joules are

B. Energy

D. Work

Hope it will help :)

Given a volume of 1000. Cm^3 of an ideal gas at 300 k, what volume would iy occupy at a temperature of 600 k

Answers

Answer:2000 cm³

Here, pressure remains constant.

So, b the gas law

V/V' = T/ T'

1000 / V' = 300 / 600

V' = 2000 cm³

Explanation:also pls mark brainliest

In order for the eye to see an object _____ from the object myst be reflected to your eye.

Light or particle ?

Answers

Answer: light from the object

Explanation:

When light is reflected off an object like a lamp or a door is travels in a straight line but in a new direction so if the light enters our eyes we will see the object because our eyes can detect light

A box of bananas weighing 51.0 N rests on a horizontal surface. The coefficient of static friction between the box and the surface is 0.46 and the coefficient of kinetic friction is 0.23. Part A If no horizontal force is applied to the box and the box is at rest, how large is the frictional force exerted on the box by the surface

Answers

static friction force = The coefficient of static friction * normal force

static friction force = 0.46 * 51 = 23.46 N

kinetic friction force = The coefficient of kinetic friction * normal force

kinetic friction force = 0.23 * 51 = 11.73 N

the applied force acting on the object must be more than 23.5 N if the object was stationary to move it and must be more than 11.7 N during the movement to keep the object moving

how can you rewrite the force formula (f=ma) to solve the acceleration?​

Answers

a=0.5 Nkg=0.5 kg⋅m/s2kg=0.5 m/s2

The force formula can be rewritten  to solve the acceleration as:

acceleration = force/mass.

What is acceleration?

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

What is force?

The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

From Newton's 2nd law of motion, we can write that:

Force = mass × acceleration

acceleration = force/mass.

Hence, the force formula can be rewritten  to solve the acceleration as:

acceleration = force/mass.

Learn more about acceleration here:

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Consider a stone in free fall on a planet with gravitational acceleration 3.4 m/s^2. Suppose you would like the stone to experience the same magnitude of acceleration down an inclined plane on Earth. Neglecting friction and air resistance, which angle should the inclined plane have with respect to the horizontal ? (in deg)

Answers

Answer:

Angle of incline is 20.2978°

Explanation:

Given that;

Gravitational acceleration on a planet a = 3.4 m/s²

Gravitational acceleration on Earth g = 9.8 m/s²

Angle of incline = ∅

Mass of the stone = m

Force on the stone along the incline will be;

F = mgSin∅

F = ma

The stone has the same acceleration as that of the gravitational acceleration on the planet.

so

ma = mgSin∅

a = gSin∅

Sin∅ = a / g

we substitute

Sin∅ = (3.4 m/s²) / (9.8 m/s²)

Sin∅ = 0.3469

∅ = Sin⁻¹( 0.3469 )

∅ = 20.2978°

Therefore, Angle of incline is 20.2978°

If the coefficient of kinetic friction is 0.43 for a box sliding across your lab table and the
box weighs 7.4 N, what is the force of kinetic friction?

Answers

Answer:

3.2N

Explanation:

Given parameters:

Coefficient of kinetic friction  = 0.43

Weight of box  = 7.4N

Unknown:

Force of kinetic friction  = ?

Solution:

The force of kinetic friction is given as:

        Force of kinetic friction  = UN

U is the coefficient of friction

N is the weight

  Force of kinetic friction  = 0.43 x 7.4  = 3.2N

4. John drives his car 5 miles north to visit his friend, and then drives 7 miles east to go to the store,
What is John's displacement? * 1

Answers

Answer:

John's displacement is 8.6 miles.

Explanation:

We need to fin the magnitude of the sum of the partial displacement. So we will have:

[tex]d=\sqrt{5^{2}+7^{2}}[/tex]

[tex]d=8.6\: miles[/tex]

I hope it helps you!

how can you decrease the numbers
of calories you consume

Answers

Answer: by eating less of the recommendEd servings

Explanation:

Eating less or eating healthy

Which object would have the greatest acceleration?

Answers

Answer:

D

Explanation:

A and C are balanced, B has a resultant force of 5N right, and D has a resultant force of 20N right.

A pendulum has a period of 5.14s and a length of 0.25m. What is the acceleration
due to gravity? *

Answers

Answer:

Acceleration due to gravity, g = 2.68m/s²

Explanation:

Given the following data;

Period = 5.14s

Length = 0.25m

To find acceleration due to gravity, g;

[tex] Period, T = 2 \pi \sqrt {lg} [/tex]

Substituting into the equation, we have;

[tex] 5.14 = 2*3.142 \sqrt {0.25g} [/tex]

[tex] 5.14 = 6.284 \sqrt {0.25g} [/tex]

[tex] \frac {5.14}{6.284} = \sqrt {0.25g} [/tex]

[tex] 0.8180 = \sqrt {0.25g} [/tex]

Taking the square of both sides

[tex] 0.8180^{2} = 0.25g [/tex]

[tex] 0.6691 = 0.25*g[/tex]

[tex] g = \frac {0.6691}{0.25} [/tex]

Acceleration due to gravity, g = 2.68m/s²

Two kilograms of air is contained in a rigid wellinsulated tank with a volume of 0.6 m3 . The tank is fitted with a paddle wheel (stirrer) that transfers energy to the air at a constant rate of 10 W for 1h. If no changes in kinetic or potential energy occur, determine a) The specific volume at the final state, in m3 /kg. b) The energy transfer by work, in kJ. c) The change in specific internal energy of the air, in kJ/kg.

Answers

Answer:

[tex]0.3\ \text{m}^3/\text{kg}[/tex]

[tex]36\ \text{kJ}[/tex]

[tex]18\ \text{kJ/kg}[/tex]

Explanation:

V = Volume of air = [tex]0.6\ \text{m}^3[/tex]

P = Power = 10 W

t = Time = 1 hour

m = Mass of air = 2 kg

Specific volume is given by

[tex]v=\dfrac{V}{m}\\\Rightarrow v=\dfrac{0.6}{2}\\\Rightarrow v=0.3\ \text{m}^3/\text{kg}[/tex]

The specific volume at the final state is [tex]0.3\ \text{m}^3/\text{kg}[/tex]

Work done is given by

[tex]W=Pt\\\Rightarrow W=10\times 60\times 60\\\Rightarrow W=36000\ \text{J}=36\ \text{kJ}[/tex]

The energy transfer by work, is [tex]36\ \text{kJ}[/tex]

Change in specific internal energy is given by

[tex]\Delta u=\dfrac{Q}{m}+\dfrac{W}{m}\\\Rightarrow \Delta u=0+\dfrac{36}{2}\\\Rightarrow \Delta u=18\ \text{kJ/kg}[/tex]

The change in specific internal energy of the air is [tex]18\ \text{kJ/kg}[/tex]

To have the highest magnification in a telescope, the focal length of the objective lens should be _________ and the focal length of the eyepiece lens should be ________. To have the highest magnification in a telescope, the focal length of the objective lens should be _________ and the focal length of the eyepiece lens should be ________. small; small small; large large; small large; large

Answers

Answer:

Large; small.

Explanation:

A telescope can be defined as an optical instrument or device which comprises of a curved mirror and lenses used for viewing distant objects i.e objects that are very far away such as stars and other planetary bodies. The first telescope was invented by Sir Isaac Newton.

To have the highest magnification in a telescope, the focal length of the objective lens should be large and the focal length of the eyepiece lens should be small.

This ultimately implies that, the eyepiece lens has a small focal length while the objective lens has a large focal length.

A skydiver is using wind to land on a target that is 50 m away horizontally. The skydiver starts from a height of 70 m and is falling vertically at a constant velocity of 7.0 m/s downward with their parachute open (terminal velocity). A horizontal gust of wind helps push them towards the target. What must be their total speed if they want to just hit their target?

Answers

Answer:

Answer:

15.67 seconds

Explanation:

Using first equation of Motion

Final Velocity= Initial Velocity + (Acceleration * Time)  

v= u + at

v=3

u=50

a= - 4 (negative acceleration or deceleration)  

3= 50 +( -4 * t)

-47/-4 = t

Time = 15.67 seconds

We have that the speed  must be at the speed below if they want to just hit their target

From the Question we are told that

Distance [tex]d=50m[/tex]

Height [tex]h=70m[/tex]

Constant Velocity [tex]v= 7.0 m/s[/tex]

Generally the equation for the time  is mathematically given as

[tex]T=\frac{h}{v}\\\\T=\frac{70}{7}\\\\T=10s[/tex]

Therefore

The velocity required to make horizontal movement is

[tex]V=\frac{d}{T}\\\\V=\frac{50}{10}\\\\V=5m/s[/tex]

Given that

Velocity on the Vertical axis is

[tex]v_y=7m/s[/tex]

Velocity on the  horizontal axis is

[tex]v_x=5m/s[/tex]

Therefore resultant speed

[tex]v_r=\sqrt{v_x^2+V_y^2}\\\\v_r=\sqrt{(5)^2+(7)^2}[/tex]

[tex]v_r=8.6023m/s[/tex]

In conclusion

[tex]v_r=8.6023m/s[/tex] must be their total speed if they want to just hit their target

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If an ocean wave has a wavelength of 2 m and a frequency of 1 wave/s, then its speed is m/s Enter the answer Check it CRATCHPAD Improve this questic 트​

Answers

Answer:

2m/s

Explanation:

v=f×wavelength

v=2×1

=2m/s

It takes 52,000 Joules to heat a cup of coffee to boiling from room temperature. How long a piece of 20 cm wide Aluminum foil would it take to make a capacitorlarge enoughto hold this amount of energy if one were to use plastic garbage bag with a 2.6 x 10-5m thickness that breaks down at 610 volts as a dielectric

Answers

Answer:

L = 1.11 x [tex]10^{6}[/tex] m, is the length of piece of 20 cm wide Aluminum foil to make capacitor large enough to hold 52000 J of energy.

Explanation:

Solution:

Data Given:

Heat Energy = 52000 J

Dielectric Constant of the plastic Bag = 3.7 = K

Thickness = 2.6 x [tex]10^{5}[/tex] m =d

V = 610 volts

A = width x Length

width = 20 cm = 20 x [tex]10^{-2}[/tex] m

Length = ?

So,

we know that,

U = 1/2 C Δ[tex]v^{2}[/tex]

U = 52000 J

C = ?

V = 610 volts'

So,

U = 1/2 C Δ[tex]v^{2}[/tex]  

52000 J = (0.5) x (C) x ([tex]610^{2}[/tex])

C = 0.28 F

And we also know that,

C = [tex]\frac{K*E*A}{d}[/tex]

E = 8.85 x [tex]10 ^{-12}[/tex]

K = 3.7

A = 0.20 x L

d = 2.6 x [tex]10^{5}[/tex] m

Plugging in the values into the formula, we get:

0.28 = [tex]\frac{3.7 * 8.85 .10^{-12} * (0.20 . L) }{2.6 . 10^{5} }[/tex]

Solving for L, we get:

L = 1.11 x [tex]10^{6}[/tex] m,

is the length of piece of 20 cm wide Aluminum foil to make capacitor large enough to hold 52000 J of energy.  

a long solid rod 4.5 cm in radius carries a uniform volume charge density. if the electric field strength at the surface of the rod (not near either end) is 16 kn/c, what is the volume charge density

Answers

Answer:

6.29 μC/m³

Explanation:

Volume charge density is the quantity of charge per unit volume.

The direction of the electric field was not specified, therefore the volume charge density (ρ) is given by:

2πRLE = ρπR²L/ε₀

ρ = 2Eε₀ / R

Where E = electric field strength = 16 kN/C = 16 * 10³ N/C, R = radius of rod = 4.5 cm = 0.045 m, ε₀ = relative permittivity of free space = 8.85 * 10⁻¹² C² / Nm²

Therefore:

ρ = 2(16 * 10³ N/C)(8.85 * 10⁻¹² C²/Nm²) / 0.045 m = 6.29 * 10⁻⁶ C/m³

ρ = 6.29 μC/m³

Which formula is used to find an objects acceleration

Answers

Answer:

a=∆v/∆t

Explanation:

The definition of Acceleration is the change in velocity in a given time. So this means you first calculate ∆v (Change in velocity), and you calculate ∆t which is the time taken to apply that change in velocity. Then you find a= ∆v/∆t. This gives us the equation of Acceleration.

Answer:

C. a=∆v/∆t

Explanation:

What must the charge (sign and magnitude) of a particle of mass 1.48 g be for it to remain stationary when placed in a downward-directed electric field of magnitude 640 N/C

Answers

Answer:

[tex]q=-2.26\times 10^{-5}\ C[/tex]

Explanation:

Given that,

The mass of a particle, m = 1.48 g = 0.00148 kg

The electric field, E = 640 N/C

We need to find the charge of the particle when placed in a downward-directed electric field.

The force of gravity is balanced by the electric force such that,

mg = qE

Where

q is the charge of the particle

[tex]q=\dfrac{mg}{E}\\\\q=\dfrac{0.00148\times 9.8}{640}\\\\q=2.26\times 10^{-5}\ C[/tex]

q must be negative, the force must be upward (opposite direction of the electric field).

Tasks
Task 2 - Compare and contrast the use of D'Alembert's principle with
the principle of conservation of energy to solve an
engineering problem
A motor vehicle having a mass of 800 kg is at rest on an incline of 1 in 8 when the
brakes are released. The vehicle travels 30 m down the incline against a constant
frictional resistance to motion of 100 N where it reaches the bottom of the slope.
a) Using the principle of conservation of energy, calculate the velocity of the
vehicle at the bottom of the incline.
b) Using an alternative method that does not involve a consideration of energy,
cacluate the velocity of the vehicle at the bottom of the incline.
c) Discuss the merits of the two methods you have used for parts a) and b) of
this question. Justify the use of an energy method for these types of
problems.​

Answers

Answer:

NE DIYON INGILIZ MISIN SEN

A major source of water pollution comes from that washes chemicals and other pollutants from improperty managed land.

Answers

The answer to this would be B

Fusion probability is greatly enhanced when appropriate nuclei are brought close together, but mutual Coulomb repulsion must be overcome. This can be done using the kinetic energy of high-temperature gas ions or by accelerating the nuclei toward one another. Calculate the potential energy of two singly charged nuclei separated by 1.00 x 10-12 m by finding the voltage of one at that distance and multiplying by the charge of the other.

Answers

Answer:

the Potential Energy is 2.304 × 10⁻¹⁶ J

Explanation:  

Given the data in the data in the question;

The expression for the electric potential energy between the charges can be expressed as follows;

PE = qV ------equ 1

where q is the charge and V is the electric potential

Also the formula for electric potential due to point a point in a field is;

V = kq /  r -------equ 2

where k is the electrostatic constant and r is the distance form the charged particle

input equation 2 into 1

PE = q × kq /  r

PE = kq²/r ------- equ 3

so we substitute into equation 3; 1.00×10⁻¹² for r, 9.00×10⁹ for k( constant ) and 1.60×10⁻¹⁹ for q( charge )

PE = ((9.00×10⁹) (1.60×10⁻¹⁹)²) / 1.00×10⁻¹²

PE = 2.304 × 10⁻²⁸ / 1.00×10⁻¹²

PE = 2.304 × 10⁻¹⁶ J

Therefore, the Potential Energy is 2.304 × 10⁻¹⁶ J

Substance X is in a chamber (Chamber 1) containing 10L of fluid. The concentration of substance X in this chamber is 100mmol/L. A solid division separates this chamber from another chamber (Chamber 2) containing 5L of fluid. You remove this division leaving only a membrane separating the two chambers. This membrane is permeable to Substance X and nothing else. Which of the following statements are true?There are several answers to this question, but only one is giving me issues. One of the correct answers is: "The concentration of Substance X in Chamber 2 will never exceed 66mmol/L." I do not understand how they got this as I did a ratio and came up with 50 mmol/L instead. Could someone please point out how it is 66?

Answers

Answer:

Explanation:

concentration of substance X in chamber 1 = 100 mmol/L

total volume of chamber 1 = 10 L

total mass of substance X in chamber 1 = 100 x 10 mmol = 1000 mmol .

When the two chamber is joined , total volume of both the chamber

= 10 L + 5 L = 15 L .

In the volume of 15 litre , substance x is uniformly distributed because it is permeable .

concentration of substance X = mass of X / total volume = 1000 mmol / 15

= 66.67 mmol / L

Hence ,

"The concentration of Substance X in Chamber 2 will never exceed 66mmol/L."

. Why is it harder to stop an elephant accelerating at 1m/s2 than a rabbit accelerating at 1m/s2
(10 Points)
the elephant has more mass
the rabbit is faster
the rabbit has more mass
the elephant is faster

Answers

Answer:

this is about momentum p=mv

A, the elephant has more mass

If a rock and a feather are dropped in a 98-meter-long tube in which there is a vacuum, which one will hit the bottom first?
The feather will hit the bottom first.
А
B
The rock will hit the bottom first
С
Both will hit at the same time
D
More information is needed

Answers

Answer:

C. Both will hit at the same time.

Explanation:

Gravity accelerates them both the same since the vacume has no other particles. Gravity pulls down at about 9.81 m/s/s on earth and since there are no air particles in a vacume, there is no air-resistance. Your final velocity can be found with the equation [tex]Vf=Vi+g*t[/tex]
Vf is final velocity and Vi is initial velocity. Them both accelerating at the same time with the same gravity means that the initial velocity will be the same for both and therfore so will the final velocity. All of that leads to them landing at the same time. This is all an assumption that they are being dropped from the same height.

Please correct me if I was wrong about anything said above.

Thanks!

If rock and a feather are dropped in a 98-meter-long tube in which there is a vacuum, Both will hit at the same time.

Why do objects fall at the same rate in a vacuum?

If your heavy and light objects are in a vacuum, then they fall at the same speed. This is because they only have one force acting on them: gravity.

Which would fall with greater acceleration in a vacuum a leaf or a stone?

Q. Which would fall with greater acceleration in a vacuum—a leaf or a stone. They would accelerate at the same rate.

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Climbing a tree would
A. decrease your potential energy
B. increase your kinetic energy
C. increase your potential energy

Answers

Answer:

C Increase your potential energy

Explanation:

Because if you start falling your potential energy would convert to kinetic energy. So you would get potential energy climbing up a tree

Answer:

I think it's potential energy

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There is a chowder eating contest in a small New England town. The distribution of the amount of chowder consumed is bell-shaped with mean 32 ounces and variance 64 ounces. If two hundred people participated in the contest, find the following.a. The number of people who consumed between 24 and 40 ounces of chowder.b. The number of people who consumed between 16 and 40 ounces of chowder. Fruit Fly Eye Color (sex-linked): Red Eye (Dominant - R), White Eye (Recessive - r): How many female fruit fly offspringwould be expected to have white eyes from the following cross? Parents: White Eye Female x Red Eye MaleA.) 0%B.) 25%C. 50% Read this excerpt from a play.(The stage lights illuminate a classroom. Tidy rows of desks face a wood stove, a chalkboard, and a teachers desk. Piles of books and papers adorn the teachers desk. A young girl and teacher are speaking quietly.)TEACHER: The primary children are studying poetry this afternoon, and I need your assistance. (She gathers a stack of textbooks and hands them to her student.) Please choose a few poems and have the children read along with you.MARGO: (She reaches for a book) Yes, maam. I always enjoy reading to the young ones.(MARGO retreats to a chair by the window and begins flipping through a book. Two boys sit nearby, giggling about a picture that one of them has drawn.)Which setting detail reveals the time period? I have a spinner that is divided into 4 equal sections colored red, blue ,green, and yellow . If I spin the spinner twice ,What is the probability that I will randomly select a blue marker, put it back, then randomly select a purple marker ? Picasso chose this color scheme to convey a sorrowful scene in The Old Guitarist.A. ComplementaryB. Analogous C. CubistD. Monochromatic Expand to write an equivalent expression:-1/4(-8x+12y) In pages 87 and 88 of the birchbark house, how does mama know that pinch is really the one who ate the berries? Which best describes the Caste System?inclusiveoppressiveprogressiveexpressive HURRY IM GIVING 30 POINTS AND I NEED THIS ANSWER QUICK. How did the Rosetta Stone influence philosophy and the arts?It was an important item in the Museum of Alexandria.it was sculpted to reflect the cultures of the Hellenistic era.It was important for learning how to read ancient hieroglyphs.It was sculpted by Hellenistic artists to display ancient Egypt. -6x-(-8)=2step by step PLEASE ANSWER FAST I HAVE 10 MINUTES LEFT AND ILL GIVE BRAINLIEST IF CORRECT!Which graph shows the result of dilating this figure by a factor of 4 about the origin? On a coordinate plane, rectangle A B C D has points (negative 1, 1), (3, 1), (3, negative 1), (negative 1, negative 1). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 4, 4), (12, 4), (12, negative 4), (negative 4, negative 4). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 2, 2), (6, 2), (6, negative 2), (negative 2, negative 2). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.25, 0.25), (0.75, 0.25), (0.75, negative 0.25). (negative 0.25, negative 0.25). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.5, 0.5), (1.5, 0.5), (1.5, negative 0.5), (negative 0.5, negative 0.5). 18.If a - b = 12 and b/2 = 10, what is the valueof a +b ?A) 2B) 12C) 32D) 52 Please help meIf you correct answer, I will give you Brainiest.Due 10:00 Pm Please Vanessa deposit $12,000 in a saving account with an annual interest rate of 3.5%. What function represents the value of her account after x year? What will her balance be after 5 years? What opportunity were women given due to the war? . Why is it harder to stop an elephant accelerating at 1m/s2 than a rabbit accelerating at 1m/s2(10 Points)the elephant has more massthe rabbit is fasterthe rabbit has more massthe elephant is faster Help me plz with these! 30 Points: Taxation as a way of funding public services, like road construction, education, and security, is most directly supported by which ethical decision-making framework?A. virtueB. fairness and justiceC. common goodD. rights Present progressive Irregular forms. 1 + 100000 + 100000 + 100000 =