A physics student likes to study while listening to loud music. If electricity costs 12.00$/kWh (kilowatt-hour), how much would it cost the student to run a 220 W stereo system 8.0 hours per day for 10 days of studying?

Answers

Answer 1

Answer:

the cost of running the stereo is $211.2

Explanation:

Given;

cost of electricity, = 12.00$/kWh

power consumed by the stereo system, P = 220 W

duration of the power consumption, t = 8 hours

number of days, = 10 days

total time of the power consumption = 8 hours x 10 = 80 hours

power consumed in kW = 220 W / 1000 = 0.22 kW

Energy consumed = 0.22 kW x 80 h = 17.6 kWh

The cost of using 17.6 kWh

= 17.6 x $12

= $211.2

Therefore, the cost of running the stereo is $211.2


Related Questions

A string has its 4th harmonic at 31.5 Hz. What is the frequency of its third harmonic?

Answers

The correct answer is 7.5Hz

Answer:

The answer would be 7.5 Hz.

A point charge of +35 nC is above a point charge of –35 nC on a vertical line. The distance between the charges is 4.0 mm. What are the magnitude and direction of the dipole moment ?

Answers

Answer:

Magnitude = 140 x 10⁻¹² Cm

Direction = upwards

Explanation:

A pair of two equal and opposite point charges forms an electric dipole.

The magnitude of the moment of such dipole is the product of the magnitude of any of the charges (since the charges are the same in magnitude) and the distance of separation between them. i.e

p = q x d          ----------(i)

Where;

p = dipole moment

q = magnitude of any of the charges

d = distance between the charges.

The direction of the dipole moment is from the negative charge to the positive charge.

(a) From the question, the charges are +35 nC and -35 nC, and the distance between them is 4.00mm.

This implies that;

q = 35 nC = 35 x 10⁻⁹C

d = 4.00mm = 4.0 x 10⁻³ m

Substitute the values of q and d into equation (i) to give;

p = 35 x 10⁻⁹C x 4.00 x 10⁻³ m

p = (35 x 4.0) x (10⁻⁹ x 10⁻³) C m

p = 140 x 10⁻¹² Cm

The magnitude of the dipole moment is 140 x 10⁻¹² Cm

(b) From the question, the +35nC charge is above the -35nC charge on a vertical line as shown below;

                         o   +35nC

                          |

                          |

                          |

                          |

                          |

                          |

                         o    -35nC

Since the direction should point from the negative charge to the positive charge, this means that the direction of the dipole moment of the two charges is upwards (due North).

                         o   +35nC

                         ↑

                          |

                          |

                          |

                          |

                          |

                          |

                         o    -35nC

Two train 75 km apart approach each other on parallel tracks, each moving at
15km/h. A bird flies back and forth between the trains at 20km/h until the trains pass
each other. How far does the bird fly?

Answers

Answer:

The correct solution is "37.5 km".

Explanation:

Given:

Distance between the trains,  

d = 75 km

Speed of each train,

= 15 km/h

The relative speed will be:

= [tex]15 + (-15)[/tex]

= [tex]30 \ km/h[/tex]

The speed of the bird,

V = 15 km/h

Now,

The time taken to meet will be:

[tex]t=\frac{Distance}{Relative \ speed}[/tex]

  [tex]=\frac{75}{30}[/tex]

  [tex]=2.5 \ h[/tex]

hence,

The distance travelled by the bird in 2.5 h will be:

⇒ [tex]D = V t[/tex]

        [tex]=15\times 2.5[/tex]

        [tex]=37.5 \ km[/tex]

 

An observer on Earth sees spaceship 1 fly by at 0.80c. 6.0 years later, the observer on Earth sees spaceship 2 fly by at 0.80c, traveling in the same direction as the first. Both spaceships continue to travel with constant velocities. An observer in spaceship 1 observes Earth to pass spaceship 2 ____ years after Earth passed spaceship 1.

Answers

Answer:

[tex]t_2=10[/tex]

Explanation:

From the question we are told that:

Velocity of both spaceships [tex]V=0.8c[/tex]

Time [tex]t_1=6[/tex]

Generally the equation for time of spaceship 2 through earth is mathematically given by

[tex]t_2=\frac{t_1}{\sqrt{1-v^2}}[/tex]

[tex]t_2=\frac{6}{\sqrt{1-0.8^2}}[/tex]

[tex]t_2=10[/tex]

If 56.5 m3 of a gas are collected at a pressure of 455 mm Hg, what volume will the gas occupy if the pressure is changed to 632 mm Hg? *

Answers

Assuming ideal conditions, Boyle's law says that

P₁ V₁ = P₂ V₂

where P₁ and V₁ are the initial pressure and temperature, respectively, and P₂ and V₂ are the final pressure and temperature.

So you have

(455 mm Hg) (56.5 m³) = (632 mm Hg) V₂

==>   V₂ = (455 mm Hg) (56.5 m³) / (632 mm Hg) ≈ 40.7 m³

01.04 Law of Conservation of Energy
science question

Answers

Answer:

 law of conservation of energy states that the total energy of an isolated system remains constant; it is said to be conserved over time.

A ball is launched from the ground with a horizontal speed of 30 m/s and a vertical speed of 30 m/s. How far horizontally will it travel in 2 seconds?
A. 30 m
B. 90 m
C. 45 m
D. 60 m

Answers

Answer:

It will travel Vx * t = 30 m/s * 2 s = 60 m

Distance = velocity x time
= 30m/s x 2 sec
= 60 m/s

what do we mean by thrust?

Answers

Answer:

the answer is push example: she thrust her hand into her pocket

just me or does brainly just want people to watch ads or pay for answers that are sometimes wrong dont get it

Answers

Answer:

i think bro is becuse they want to get money also paying to this app  if i put paying right im latin but that is my opinion and also becuse they want we learn somethings

Explanation:

A large metal sphere has three times the diameter of a smaller sphere and carries three times the charge. Both spheres are isolated, so their surface charge densities are uniform. Compare (a) the potentials (relative to infinity) and (b) the electric field strengths at their surfaces.

Answers

Answer:

A. Equals to that of the smaller sphere

B. 3 times less than that of the smaller sphere

Explanation:

(a) Equals to that of the smaller sphere

The potential of an isolated metal sphere, with charge Q and radius R, is kQ=R, so a sphere with charge 3Q and radius 3R has the same potential

b) 3 times less than that of the smaller sphere

However, the electric field at the surface of the smaller sphere is ?=? 0 = kQ=R2 , so tripling Q and R reduces the surface field by a factor of 1/3

3. Some guitarists like the feel of a set of strings that all have the same tension. For such a guitar, the G string (196 Hz) has a mass density of 0.31 g/m. What is the mass density of the A string (110 Hz)

Answers

Answer:

0.98 g/m

Explanation:

Note: Since Tension and frequency are constant,

Applying,

F₁²M₁ = F₂²M₂............... Equation 1

Where F₁ = Frequency of the G string, F₂ = Frequency of the A string, M₁ = mass density of the G string, M₂ = mass density of the A string.

make M₂ the subject of the equation

M₂ = F₁²M₁/F₂²............... Equation 2

From the question,

Given: F₁ = 196 Hz, M₁ = 0.31 g/m, F₂ = 110 Hz

Substitute these values into equation 2

M₂ = 196²(0.31)/110²

M₂ = 0.98 g/m

You are asked to build an LC circuit that oscillates at 13 kHz. In addition, you are told that the maximum current in the circuit can be 0.14 A and the maximum energy stored in the capacitor must be 1.4x10-5 J. What value of inductor and capacitor should you choose

Answers

Answer:

a)[tex]L=0.00142H[/tex]

b) [tex]C=2.65*10^{-12}[/tex]

Explanation:

From the question we are told that:

Frequency[tex]F=13kHz[/tex]

Current [tex]I=0.14A[/tex]

Capacitor[tex]C_e=1.4*10^{-5}J[/tex]

Generally the equation for Energy in the inductor is mathematically given by

Where L is now subject

[tex]L=\frac{2C_e}{I^2}[/tex]

[tex]L=\frac{2*1.4*10^{-5}}{(0.14)^2}[/tex]

[tex]L=0.00142H[/tex]

Generally the equation for Value of Capacitor is mathematically given by

[tex]C=\frac{1}{(2 \pi f)^2} L[/tex]

[tex]C=\frac{1}{(2 3.142 13*10^3Hz)^2} *0.00142[/tex]

[tex]C=2.65*10^{-12}[/tex]

PLEASE ANSWER IF YOU CAN AND NOT FOR THE SAKE OF GAINING POINTS!

Answers

A is the correct answer because the the plane mirror would move the same speed in the same direction

What is hydroelectric power ?

Answer quickly..!

Answers

Answer:

It's electricity produced from hydropower. It's also a form of energy that controls the power of water motion.

Explanation:

One pro about hydroelectric power is that it's renewable energy. But one con about hydroelectric power is that it can impact the environment in a negative way.

There is given an ideal capacitor with two plates at a distance of 3 mm. The capacitor is connected to a voltage source with 12 V until it is loaded completely. Then the capacitor is disconnected from the voltage source. After this the two plates of the capacitor are driven apart until their distance is 5 mm. Now a positive test charge of 1 nC is brought from the positively charged plate to the negatively charges plate. How large is the kinetic energy of the test charge? The test charge of 1 nC can be regarded to be so small that it does not influence the electric field between the two plates of the capacitor.​

Answers

Answer:

K = 2 10⁻⁸ J

Explanation:

Let's solve this exercise in parts, we start by finding the charge on each plate of the capacitor

          C = Q / ΔV

           C = ε₀ A / d

          ε₀ A / d = Q / ΔV

          Q = ε₀ A ΔV / d        (1)

indicate the potential difference ΔV₁ = 12 V, the distance between the plates d₁ = 3 mm = 0.003 m,  

as the power supply is disconnected and the capacitor is ideal the charge remains constant

in the second part we separate the plates at d₂ = 5 mm = 0.005 m, using equation 1

          ΔV₂ = [tex]\frac{Q d_2}{ \epsilon_o A}[/tex]

we substitute the equation for Q

         ΔV₂ = [tex]\frac{d_2}{\epsilon_o A} \ \frac{\epsilon_o A \Delta V }{d_1}[/tex]

         ΔV₂ = [tex]\frac{d_2}{d_1} \ \Delta V_1[/tex]

in the third part we use the concepts of energy

starting point. Test charge near positive plate

          Em₀ = U = q ΔV₂

           

final point. Test charge near negative plate

          Em_f = K

energy is conserved

          Em₀ = Em_f

          q ΔV₂ = K

          K = q ΔV₁ [tex]\frac{d_2}{d_1}[/tex]

we calculate

          K = 1 10⁻⁹  12  0.005/0.003

          K = 2 10⁻⁸ J

A wire long and with mass is positioned horizontally near the earth's surface and perpendicular to a horizontal magnetic field of magnitude . What current I must flow through the wire in order that the wire accelerate neither upwards nor downwards

Answers

The question is incomplete. The complete question is :

A wire 0.6 m long and with mass m = 11 g is positioned horizontally near the earth's surface and perpendicular to a horizontal magnetic field of magnitude B = 0.4 T. What current I must flow through the wire in order that the wire accelerate neither upwards nor downwards? The magnetic field is directed into the page.

Solution :

Given :

Length of the wire, L = 0.6 m

Mass of the wire length, m = 11 g

                                             = [tex]11 \times 10^{-3}[/tex] kg

Magnetic field , B = 0.4 T

Know we know that :

ILB = mg

or [tex]$I=\frac{mg}{BL}$[/tex]

 [tex]$I= \frac{(11 \times 10^{-3})(9.81)}{(0.4)(0.6)}$[/tex]

 [tex]I=0.44963\ A[/tex]

 [tex]I = 449.63 \ mA[/tex]

how to make an uncharged particle positively charged

Answers

Answer:

If a neutral atom gains electrons, then it will become negatively charged. If a neutral atom loses electrons, then it become positively charged.

An airplane propeller is 2.16 m in length (from tip to tip) with mass 100 kg and is rotating at 2900 rpm (rev/min) about an axis through its center. You can model the propeller as a slender rod. What is its rotational kinetic energy? Suppose that, due to weight constraints, you had to reduce the propeller's mass to 75.0% of its original mass, but you still needed to keep the same size and kinetic energy. What would its angular speed have to be, in rpm?

Answers

a) The rotational kinetic energy of the airplane propeller is 1792152.287 joules.

b) The angular speed of the airplane propeller is approximately 3348.631 revolutions per minute.

How to determine the angular speed of a airplane propeller

Let consider the airplane propeller a rigid body, the rotational kinetic energy of the propeller (K), in joules, is described by the following formula:

K = 0.5 · I · ω²  (1)

Where:

I - Moment of inertia of the airplane propeller, in kilogram-square meters.ω - Angular speed, in radians per second

In addition, the moment of inertia of a slender rod rotating around its center is:

I = 0.0833 · M · L²   (2)

Where:

M - Mass of the propeller, in kilogramsL - Length of the propeller, in meters

a) If we know that M = 100 kg, L = 2.16 m and ω = 303.687 rad/s, then the rotational kinetic energy of the propeller is:

K = 0.5 · [0.0833 · (100 kg) · (2.16 m)²] · (303.687 rad/s)²

K = 1792152.287 J

The rotational kinetic energy of the airplane propeller is 1792152.287 joules. [tex]\blacksquare[/tex]

b) By (1) and (2) we know that the mass of the propeller is inversely proportional to the square of the angular speed. Therefore, we have the following relationship:

[tex]M_{o}\cdot \omega_{o}^{2} = M_{f}\cdot \omega_{f}^{2}[/tex]

[tex]\omega_{f} = \sqrt{\frac{M_{o}}{M_{f}} }\cdot \omega_{o}[/tex]   (3)

If we know that [tex]\omega_{o} = 2900\,\frac{rev}{min}[/tex], [tex]M_{o} = 100\,kg[/tex] and [tex]M_{f} = 75\,kg[/tex], then the angular speed of the airplane propeller is:

[tex]\omega_{f} = \left(2900\,\frac{rev}{min} \right)\cdot \sqrt{\frac{100\,kg}{75\,kg} }[/tex]

[tex]\omega_{f} \approx 3348.631\, \frac{rev}{min}[/tex]

The angular speed of the airplane propeller is approximately 3348.631 revolutions per minute. [tex]\blacksquare[/tex]

To learn more on rotational kinetic energy, we kindly invite to check this verified question: https://brainly.com/question/20261989

An ink-jet printer steers charged ink drops vertically. Each drop of ink has a mass of 10-11 kg, and a charge due to 500,000 extra electrons. It goes through two electrodes that gives a vertical acceleration of 104 m/s2. The deflecting electric field is _____ MV/m.

Answers

Answer:

  E = 1.25 MV / m

Explanation:

For this exercise let's use Newton's second law

          F = m a

where the force is electric

          F = q E

we substitute

          q E = m a

          E = m a / q

indicate there are 500,000 excess electrons

          q = 500000 e

          q = 500000 1.6 10⁻¹⁹

          q = 8 10⁻¹⁴ C

the mass is m = 10⁻¹¹ kg and the acceleration a = 10⁴ m / s²

         

let's calculate

          E = 10⁻¹¹ 10⁴ / 8 10⁻¹⁴

          E = 0.125 10⁷ V / m = 1.25 10⁶ V / m

          E = 1.25 MV / m

When you are standing on Earth, orbiting the Sun, and looking at a broken cell phone on the ground, there are gravitational pulls on the cell phone from you, the Earth, and the Sun. Rank the gravitational forces on the phone from largest to smallest. Assume the Sun is roughly 109 times further away from the phone than you are, and 1028 times more massive than you. Rank the following choices in order from largest gravitational pull on the phone to smallest. To rank items as equivalent, overlap them.

a. Pull phone from you
b. Pull on phone from earth
c. Pull on phone from sun

Answers

Answer:

The answer is "Option b, c, and a".

Explanation:

Here that the earth pulls on the phone, as it will accelerate towards Earth when we drop it.

We now understand the effects of gravity:

[tex]F \propto M\\\\F\propto \frac{1}{r^2}\\\\or\\\\F \propto \frac{M}{r^2}\\\\Sun (\frac{M}{r^2}) = \frac{10^{28}}{(10^9)^2} = 10^{10}[/tex]

The force of the sun is, therefore, [tex]10^{10}[/tex] times greater and the proper sequence, therefore, option steps are:

b. Pull-on phone from earth

c. Pull-on phone from sun

a. Pull phone from you

S.I unit for distance =______

(A) m (B)cm

(c) km (d) mm

Answers

Answer:

opinion a

Explanation:

the si units of distance is metre (m)

Answer:

A

Explanation:

A 1.5kg block slides along a frictionless surface at 1.3m/s . A second block, sliding at a faster 4.3m/s , collides with the first from behind and sticks to it. The final velocity of the combined blocks is 2.0m/s . What was the mass of the second block?

Answers

Answer:

The mass of the second block=0.457 kg

Explanation:

We are given that

m1=1.5 kg

v1=1.3m/s

v2=4.3 m/s

V=2.0 m/s

We have to find the mass of the second block.

[tex]m_1v_1+m_2v_2=(m_1+m_2)V[/tex]

Let m2=m

Substitute the values

[tex]1.5(1.3)+m(4.3)=(1.5+m)(2)[/tex]

[tex]1.95+4.3m=3+2m[/tex]

[tex]4.3m-2m=3-1.95[/tex]

[tex]2.3m=1.05[/tex]

[tex]m=\frac{1.05}{2.3}[/tex]

[tex]m=0.457 kg[/tex]

Hence,  the mass of the second block=0.457 kg

A lead ball is dropped into a lake from a diving board 5.20 m above the water. After entering the water, it sinks to the bottom with a constant velocity equal to the velocity with which it hit the water. The ball reaches the bottom 4.50 s after it is released. How deep is the lake?

Answers

Answer:

35.047 m

Explanation:

The time it takes the lead ball to reach the surface of the water is

s = ut+gt²/2............. Equation 1

Where t = time it takes the lead ball to reach the surface of water, u = initial velocity of the lead ball, g = acceleration due to gravity, s = heigth.

From the question,

Given: s = 5.20 m, u = 0 m/s (dropped from a height)

Constant: g = 9.8 m/s²

5.2 = 0+9.8t²/2

t² = (5.2×2)/9.8

t² = 10.4/9.8

t² = 1.06

t = √(1.06)

t = 1.03 s

Hence, time taken for the lead ball to reach the bottom of the lake is

t' = 4.5-1.03

t' = 3.47 seconds

v² = u²+2gs............... Equation 2

Where v = final velocity of the lead ball

Substitute into equation 2

v² = 0+2(9.8)(5.2)

v² = 101.92

v = √(101.92)

v = 10.1 m/s

Therefore, depth of the lake is

D = vt'

D = 10.1(3.47)

D = 35.047 m

A strontium vapor laser beam is reflected from the surface of a CD onto a wall. The brightest spot is the reflected beam at an angle equal to the angle of incidence. However, fringes are also observed. If the wall is 1.2 m from the CD, and the second bright fringe is 0.803 m from the central maximum, what is the spacing (in m) of grooves on the CD

Answers

Answer:

[tex]d=1.29*10^{-6}m[/tex]

Explanation:

From the question we are told that:

Distance of wall from CD [tex]D=1.4[/tex]

Second bright fringe [tex]y_2= 0.803 m[/tex]

Let

Strontium vapor laser has a wavelength \lambda= 431 nm=>431 *10^{-9}m

Generally the equation for Interference is mathematically given by

[tex]y=frac{n*\lambda*D}{d}[/tex]

Where

[tex]d=\frac{n*\lambda*D}{y}[/tex]

[tex]d=\frac{2*431 *10^{-9}m*1.4}{0.803}[/tex]

[tex]d=1.29*10^{-6}m[/tex]

What is an internal resistance?

Answers

Explanation:

some thing inside a resistor

Express 6revolutions to radians

Answers

Answer:

About 37.70 radians.

Explanation:

1 revolution = 2[tex]\pi[/tex] radians

∴ 6 revolutions = (6)(2[tex]\pi[/tex] radians)

6 revolutions = 37.6991 or ≈ 37.70 radians

A wire, 0.60 m in length, is carrying a current of 2.0 A and is placed at a certain angle with respect to the magnetic field of strength 0.30 T. If the wire experiences a force of 0.18 N, what angle does the wire make with respect to the magnetic field

Answers

Answer:

[tex]\theta=30 \textdegree[/tex]

Explanation:

From the question we are told that:

Current [tex]I=2.0A[/tex]

Length [tex]L=0.60m[/tex]

Magnetic field [tex]B=0.30T[/tex]

Force [tex]F=0.18N[/tex]

Generally the equation for Force is mathematically given by

[tex]F = BIL sin\theta[/tex]

[tex]sin\theta=\frac{F}{BIL}[/tex]

[tex]\theta=sin^{-1}\frac{0.18}{0.3*2*0.6}[/tex]

[tex]\theta=30 \textdegree[/tex]

Give reason why think before you use a simple cell ?​

Answers

I agree with the other dude

The disadvantages of simple cell are: It is not rechargeable. The battery needs to be disposed of after all the power has been used up. It can't produce electricity anymore. That is why, why think before you use a simple cell.​

What are the benefits and  drawbacks of simple cell?

A battery designed to be used only once is called a simple cell.  Small gadgets used in the house are frequently powered by simple cells.

The benefits of a simple cell include:

A simple cell can be used to power small electronic devices because of its modest size. (Games, lightsabers, radios on the go, cameras, hearing aids)Simple cell electrolyte is not very detrimental to the environment.Simple cells are reasonably priced.

Among the drawbacks of a simple cell are:

The biggest drawback of a simple cell is that once it runs out of electricity, it cannot be replenished.

Learn more about cell here:

https://brainly.com/question/30046049

#SPJ2

Rachel has good distant vision but has a touch of presbyopia. Her near point is 0.60 m. Part A When she wears 2.0 D reading glasses, what is her near point

Answers

Answer:

The right answer is "0.273 m".

Explanation:

Given:

Power (P),

[tex]\frac{1}{f} = 2D[/tex]

Near point,

u = 0.6 m

As we know,

⇒ [tex]\frac{1}{v} -\frac{1}{u}=\frac{1}{f} = 2[/tex]

By substituting the values, we get

⇒ [tex]\frac{1}{v} -\frac{1}{0.6} =2[/tex]

            [tex]\frac{1}{v}=2+\frac{1}{0.6}[/tex]

            [tex]\frac{1}{v} =\frac{1.2+1}{0.6}[/tex]

            [tex]\frac{1}{v}=\frac{2.2}{0.6}[/tex]    

By applying cross-multiplication, we get

          [tex]0.6=2.2 \ v[/tex]

            [tex]v = \frac{0.6}{2.2}[/tex]

      [tex]S_{near} = 0.273 \ m[/tex]

Để sử dụng nguồn điện xoay chiều 220V/50Hz thắp sáng bóng đèn 12V/3W, ta chọn điện trở giảm áp có giá trị:

Answers

Explanation:

Hi Linda,

How's it going?

Sorry I haven't been in touch for such a long time but I've had exams so I've been studying every free minute. Anyway, I'd love to hear all your news and I'm hoping we can get together soon to catch up. We just moved to a bigger flat so maybe you can come and visit one weekend?

How's the new job?

Looking forward to hearing from you!

Helga

Other Questions
The graph of g(x) = (x + 2)2 is a translation of the graph of f(x) ____ by ____ units. Which confidence level would produce the widest interval when estimating the mean of a population based on the mean and standard deviation of a sample of that population? A. 60% B. 70% C. 80% D. 90% Which of these "things" occurred in America during WWI? provides the following data: 20X920X8 Cash$41,000 $25,000 Accounts Receivable, Net102,000 62,000 Merchandise Inventory72,000 50,000 Property, Plant, and Equipment, Net181,000 120,000 Total Assets$396,000 $257,000 Additional information for the year ending December 31, 20X9: Net Credit Sales$550,000 Cost of Goods Sold150,000 Interest Expense25,000 Net Income181,000 Calculate the rate of return on total assets for 20X9. When interest is accrued on a note payable, but not paid, the A. Interest Expense account is increased; the Interest Payable account is decreased. B. Notes Payable account is increased; the Interest Payable account is increased. C. Interest Expense account is increased; the Interest Payable account is increased. D. Interest Expense account is decreased; the Interest Payable account is increased. Hamasaki Company owns 30% of CDW Corp. stock and has significant influence. Hamasaki received $6,500 in cash dividends from its investment in CDW. The entry to record receipt of these dividends includes a debit to Cash for $6,500 and a credit to Equity Method Investments for $6,500.a. Trueb. False Factor the Quadratic: 3x^2+12x-36=0 2. The reflector of a satellite dish is in the shape of a parabola with a diameter of 4 feet and a depth of 2 feet. To get the maximum reception we need to place the antenna at the focus.a. Write the equation of the parabola of the cross section of the dish, placing the vertex of the parabola at the origin. Convert the equation into standard form, if necessary. What is the defining feature of the equation that tells us it is a parabola?b. Describe the graph of the parabola. Find the vertex, directrix, and focus.c. Use the endpoints of the latus rectum to find the focal width.d. How far above the vertex should the receiving antenna be placed? What is the exponential form of the logarithmic equation?5 = logo.9 0.59049 gi s t l bnh nhn ti 1 thnh ph l a%khm ngu nhin b ngi ti thnh ph ny tnh kh nng 2B + A ngi c bnh 1. This exam was easier/ more easy than old one. 2. Vung Tau is boreder/ more bored than Nha Trang. 3. She is prettier/ more pretty than Nina. 4. She is lazier/ more lazy than I am. 5. The well is deeper/ more deep than I think. 6. I love this bag because it is comfortabler/ more comfortable. 7. This film is boringer/ more boring than I expect. 8. He is taller/ more tall than I am. 9. Bikes are cheaper/ more cheap than cars. 10. January is colder/ more cold than June. ASAP HELP PLS NO WRONG ANSWERS------------ If a^2+b^2= 4 and ab = 5, what is the value of(a+b)^2?A. 10B. 12C. 14D. 16 Tall buildings can be a landmark, but why some countries limit the height of houses?IELTS WRITING a. In which age people started to live permanently and concept of society was developed? Choose the correct correspondence A rocket travels vertically at a speed of 1200 km/h. The rocket is tracked through a telescope by an observer located 16km from the launching pad. Find the rate at which the angle between the telescope and the ground is increasing 3 min after lift-off. Round your answer to the nearest hundredth rad/hr What is system software?No SpamAnswer quickly Choose the correct statements about the ROC curve.A. By plotting the true-positive rate against the false-positive rate for different threshold values, the ROC curve can be used to select the optimal model.B. ROC stands for Receiver Operating Characteristic curve, which was originally developed to detect enemy aircrafts on radar.C. The ROC curve is a useful diagnostic tool for determining the optimal classification model.D. The ROC curve was originally developed to optimize healthcare and detect congestive heart failure readmission rate. Lena is asked to write an explicit formula for the graphed geometric sequence.On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).What value, written as a decimal, should Lena use as the common ratio