A car is running at the speed of 45km/hr see a child 25 meter ahead and suddenly apllies a brakes. If the retradation of the car is 2 meter per second square,is the child spared?

Answers

Answer 1

Answer:

The car stops in 7.78s and does not spare the child.

Explanation:

In order to know if the car stops before the distance to the child, you take into account the following equation:

[tex]x=x_o+v_ot-\frac{1}{2}at^2[/tex]        (1)

vo: initial speed of the car = 45km/h

a: deceleration of the car = 2 m/s^2

t: time

xo: initial distance to the child = 25m

x: final distance to the child = 0m

It is necessary that the solution of the equation (1) for time t are real.

You first convert the initial speed to m/s, then replace the values of the parameters and solve the quadratic polynomial for t:

[tex]45\frac{km}{h}*\frac{1h}{3600s}*\frac{1000m}{1km}=12.5\frac{m}{s}[/tex]

[tex]0=25+12.5t-2t^2\\\\2t^2-12.5t-25=0\\\\t_{1,2}=\frac{-(-12.5)\pm \sqrt{(-12.5)^2-4(2)(-25)}}{2(2)}\\\\t_{1,2}=\frac{12.25\pm 18.87}{4}\\\\t_1=7.78s\\\\t_2=-1.65s[/tex]

You take the first value t1 because it has physical meaning.

The solution for t is real, then, the car stops in 7.78s and does not spare the child.


Related Questions

What are some of the major differences between the ancient Olympics and modern-day Olympics? List and describe at least two differences.

Answers

Answer:

-Women are now allowed to participate in the Olympics unlike before when it was only men allowed.

-Modern Olympic Games include many more events. There are more than 20 different sports and almost 300 events in the modern games, while the first Olympics only had running.

-The Olympics are held every two years. While the ancient Olympics were originally held every four years.

-Athletes from countries around the world participate in the modern Olympics unlike in the ancient Olympics where only athletes from ancient Greece competed.

Explanation:

Edmentum Plato answer (i already reworded most of it so you don't have to) <33

During the warm-up and your scheduled physical activity, what was the weather like? Did the
temperature or conditions affect how much water you drank? How?

Answers

yes, if weather was hot you need more fluids in your body due to the sweat pores needing to cool you down.

Answer: I did these exercises outdoors. The weather was hot and humid, so I drank about two cups of water during the workout. I also drank a cup of water about an hour before I started. Yes, the weather most definitely affected how much I drank.

Explanation: Edmentum

An ideal gas initially at 300 K undergoes an isobaric expansion at 2.50 kPa. If the volume increases from 1.00 m3 to 3.00 m3 and 12.5 kJ is transferred to the gas by heat, what are a. the change in its internal energy and b. its final temperature?

Answers

Answer:

a) [tex] \Delta U = 7.5 kJ [/tex]

b) [tex]T_{f} = 900 K [/tex]

Explanation:

a) To find the change in its internal energy (U) we need to use the following equation:

[tex] \Delta U = W + Q [/tex]

Where:

W: is the work done on the system

Q: is the energy transferred into the system by heat = 12.5 kJ

Since we have an isobaric expansion, the work is:

[tex] W = - P\Delta V = - P(V_{f} - V_{i}) [/tex]

Where:

[tex]V_{f}[/tex]: is the final volume = 3.00 m³

[tex]V_{i}[/tex]: is the initial volume = 1.00 m³

P: is the pressure = 2.50 kPa

[tex] W = -P(V_{f} - V_{i}) = -2.5 \cdot 10^{3} Pa(3.00 m^{3} - 1.00 m^{3}) = -5.00 \cdot 10^{3} J [/tex]

Now, we can find the change in its internal energy:

[tex] \Delta U = W + Q = -5.00 \cdot 10^{3} J + 12.5 \cdot 10^{3} J = 7.5 \cdot 10^{3} J [/tex]

b) The final temperature can be found as follows:

[tex] \frac{V_{i}}{V_{f}} = \frac{T_{i}}{T_{f}} [/tex]

[tex] T_{f} = \frac{T_{i}*V_{f}}{V_{i}} = \frac{300 K*3.00 m^{3}}{1.00 m^{3}} = 900 K [/tex]

Hence, the final temperature is 900 K.

I hope it helps you!

Wings of a bird what kind of motion is it

Answers

Answer:

linear motion

Explanation:

the birds in the sky show oscillatory motion when they flap their wings

When Emma pushes a bag with a force of 27 newtons, the coefficient of kinetic friction between the bag and the floor is 0.23. What is the normal force acting on the bag by the floor? A. 0.085 newtons B. 27 newtons C. 2.7 × 102 newtons D. 1.2 × 102 newtons

Answers

Answer:

D. 1.2 × 102 newtons

Explanation:

The computation of the normal force acting on the bag is shown below:

It could find out by applying the following formula

Normal force =  Force ÷  coefficient of kinetic friction

where,

Force is 27 newtons

And, the  coefficient of kinetic friction is 0.23

Now placing these values to the above formula

So, the normal force is

= 27 newtons ÷ 0.23

= 117.39 N

Therefore the correct option is D.

As a motorcycle takes a sharp turn, the type of motion that occurs is called _______________ motion.

Answers

Answer:

circular motion

Explanation:

As a motorcycle takes a sharp turn, the type of motion that occurs is called circular motion.

Circular motion is a movement of an object along a circular path. As this motorcycle makes the sharp turn, it is acted upon by a centripetal force which directs the motorcycle towards the center.

Therefore, circular motion is the correct answer to the question.

Answer:

Circular Motion

In 2000, a 20-year-old astronaut left Earth to explore the galaxy; her spaceship travels at 2.5 x 10^8 m/s. She returns in 2040. About how old will she appear to be?

Answers

Answer:

42.11 years old

Explanation:

Given that:

In 2000, a 20-year-old astronaut left Earth to explore the galaxy; her spaceship travels at 2.5 x 10^8 m/s. She returns in 2040

To find her age we use:

[tex]\Delta t_m=\frac{\Delta t_s}{\sqrt{1-\frac{v^2}{c^2} } }\\[/tex]

Δtm is  time interval for the observer stationary relative to the sequence of

events = 2040 - 2000 = 40 years

Δts is is the time interval for an observer moving with a speed v relative to the  sequence of event

v = velocity = 2.5 x 10^8 m/s

c = speed of light = 3 x 10^8 m/s

[tex]\Delta t_s=\Delta t_m}{\sqrt{1-\frac{v^2}{c^2} } }\\\Delta t_s=40\sqrt{1-\frac{(2.5*10^8)^2}{(3*10^8)^2}}\\\Delta t_s=22.11\ yr[/tex]

Here age in 2000 is 20 year, therefore when she appear she would be 20 year + 22.11 year = 42.11 years old

write examples of adaptation in mangrove .?
what are the adaptation of rainforest.?​

Answers

Answer:

example of adaptation in mangrove

Mangroves are salt-tolerant trees, also called halophytes, and are adapted to life in harsh coastal conditions. They contain a complex salt filtration system and complex root system to cope with salt water immersion and wave action. They are adapted to the low oxygen conditions of waterlogged mud.

adaptation of rainforest

Many animals have adapted to the unique conditions of the tropical rainforests.

hope this can help you

One of the key disadvantages of buying fitness equipment is __________. A. privacy B. flexibility C. maintenance D. choice Please select the best answer from the choices provided. A B C D

Answers

Answer:

C. maintenance

Explanation:

I personally believe one key disadvantages is the cost of maintaining the equipment unlike the gym where you have to subscribe for the month or the year and forget about anything, owning the gym equipment comes with the extra cost and responsibilities of maintenance to the owners.

Answer:

C

Explanation:

Edge 2020

Two forces of magnitudes 8N and 15N act at a point,if the resultant force is 17N,the angle between forces is equal to:

Answers

The angle is 90degrees it is an orthogonal vector as the resultant vector = root of (8^2+15^2)

Answer:

The resultant of two vectors:

P

  and    

Q

​  

 is given by  

R=  

P  

2

+Q  

2

+2PQcosθ

​  

 

where, P and Q are magnitudes of two vectors and θ is the angle between two vectors.

Here θ=?  P=8N  Q=15N  R=17N

Therefore,

17=  

8  

2

+15  

2

+2×8×15cosθ

​  

 

289=64+225+240cosθ

289=289+240cosθ

289−289=240cosθ

cosθ=0

cosθ=cos90

θ=90  

0

Explanation:

WHAT IS PHYSICS? OUTLINE THE BRANCHES OF PHYSICS PHYSICS IS AN ESSENTIAL SUBJECT, WHY DO YOU STUDY IT?
i will give brainliest

Answers

Answer:

Explanation:

Physics is the natural science that studies matter, its motion and behaviour through space and time and the related entities of energy and force The braches of physics : classical mechanics thermodynamics and statistical mechanics electromagnetism and photons relativistic mechanics quantum mechanics, atomic physics and molecular physics optics condensed matter physics high-energy particle physics and nuclear physics We must study physics to understand how universe works

what is acceleration???​

Answers

Answer:

The rate at which velocity changes.

Explanation:

Acceleration is when motion changes, it is the rate at which velocity changes.

Answer:

Acceleration is defined as change in velocity per unit time.The increase in velocity per unit time is called acceleration.

Hope this is helpful for you.

write the chemical formulae for; nitrogen monoxide, hydrochloric acid, barium phosphate, ammonium hydroxide,nitric acid​

Answers

Answer:

Nitrogen Monoxide = NOHydrochloric Acid = HCLBarium Phosphate = (Ba) 3{(Po)4}Ammonium Hydroxide = (NH) 4(OH) Nitric Acid = H(NO)3

When electrical energy is used what type of energy is also produced and considered to be waste energy?

Answers

Answer:

electrical energy is energy derived from electric potential energy or kinetic energy. when loosely electrical energy refers to energy that has been converted from electric potential energy

Answer:

electrical energy is energy derived from electric potential energy or kinetic energy. when loosely electrical energy refers to energy that has been converted from electric potential energy

Explanation:

Find vertical and horizontal displacement. Please help. 10 points. Thank you.

Answers

Explanation:

horizontal velocity = 30 x Cos45 = 19.48m/s

to find horizontal displacement

horizontal displacement = horizontal velocity x timehorizontal displacement = 19.48 x 2 = 38.96m

vertical velocity = 30 x Cos45 = 22.81m/s

vertical displacement = vertical velocity x time

vertical displacement = 22.81 x 2 = 45.62m

Answer:

Displacement after two seconds

= <Dx,Dy> = <42.426, 1.593> m to three decimal places

Explanation:

Given:

arrow shot at 30m/s and 45 degrees with horizontal.

Hit bull's eye after 2 seconds.

Find horizontal and vertical displacements.

Vx = 30cos(30) m/seconds  constant  velocity

therefore

Dx = Vx*t = 30cos(30) m/s *  2 s = 60 cos (45) = 42.426 m

Vy = 30 sin(45) m/s  

Dy = Vy*t + a(t^2) /2  

= 30*sin(45) -9.81(2^2)/2        (g is accelerating downwards, so negative)

= 1.593 m

The net displacement after 2 seconds is

D = <Dx,Dy> = <42.426, 1.593> m to three decimal places

I will give Brainliest to whoever can answer!!!!
If the phase of the vibrating sources was changed so that they were vibrating completely out of phase, what effect would this have on the interference pattern?

Answers

Answer:

The nodes and anti nodes would reverse roles.

Explanation:

I believe it has to do with the path differences. If waves are in phase, then the path differences are such that the waves reach the screen with crests superimposing crests and troughs superimposing troughs. This happens when the periods of each wave are equal or the paths themselves differ by a whole number multiple of the wavelength (λ, 2λ, 3λ, ...).

Now make these waves out of phase. Then half of the waves will travel half a wavelength farther than the rest. So the path difference will be 0.5λ, 1.5λ, 2.5λ, ....

A physicist is designing a cyclotron to accelerate protons to one-tenth the speed of light. The magnetic field will have a strength of 1.6 T. (a) Determine the rotational period (in s) of the circulating protons. s (b) Determine the maximum radius (in m) of the protons' orbit

Answers

Answer:

(a)     T = 4.09*10^-8 s

(b)     r = 0.19m

Explanation:

(a) In order to determine the rotational period of the protons, you first calculate the angular speed of the proton. You use the following formula for the radius of the trajectory described by the electron in a region with a constant magnetic field:

[tex]r=\frac{mv}{qB}[/tex]               (1)

m: mass of the proton = 1.67*10^-27 kg

q: charge of the proton = 1.6*10⁻19C

B: magnitude of the magnetic field = 1.6T

v: speed of the proton = 0.1c = 0.1(3*10^8m/s) = 3*10^7m/s

The angular speed of the proton is v/r, then, you solve for w in the equation (1) and replace the values of the parameters:

[tex]\omega=\frac{v}{r}=\frac{qB}{m}\\\\\omega=\frac{(1.6*10^{-19}C)(1.6T)}{1.67*10^{-27}kg}=1.53*10^8\frac{rad}{s}[/tex]

The rotational period T is:

[tex]T=\frac{2\pi}{1.53*10^8rad/s}=4.09*10^{-8}s[/tex]

(b) The radius of the protons' orbit is calculated by using the equation (1):

[tex]r=\frac{(1.67*10^{-27}kg)(3*10^7m/s)}{(1.6*10^{-19}C)(1.6T)}\\\\r=0.19m[/tex]

The radius of the protons' orbit is 0.19m

Which type of wave tables faster through solids than it does through gases

A- electromagnet waves
B- reverse waves
C- longitudinal waves
D- periodic waves

Answers

Answer:peroidic waves

Explanation:

The average battery in a car supplies a current of 3.5 A from a
12.6 V battery to the engine. How much power is consumed by
the engine?

Answers

Answer:

44.1 W

Explanation:

Power = Voltage x current

(P = VI)

P = 12.6 x 3.5

P = 44.1 W

Which of the following is a vector quantity? A.speed B.weight C.distance travelled D.mechanical energy

Answers

Answer:

mechanical energy

Explanation:

it is a vector energy

why do we generally hear a thunder when there is a Bolt of lightning


Please answer me fast

Answers

Answer:

Explanation:

When a lightning bolt travels from the cloud to the ground it actually opens up a little hole in the air, called a channel. Once then light is gone the air collapses back in and creates a sound wave that we hear as thunder. The reason we see lightning before we hear thunder is because light travels faster than sound!

Answer:

light travels faster than sound

Explanation:

A garrafa térmica (também conhecida como "vaso de Dewar") é um dispositivo extremamente útil para conservar, no seu interior, corpos (essencialmente líquidos) em altas temperaturas, minimizando trocas de energia com o ambiente, geralmente mais frio. Uma garrafa térmica contém água a 60 o C. O conjunto garrafa térmica + água possui capacidade térmica C=80 cal/o C. O sistema é colocado sobre uma mesa e, após um intervalo considerável de tempo, a sua temperatura diminui para 55 o C. Nesse caso, conclui-se que o sistema formado pela garrafa térmica e pela água no seu interior: a) perdeu 400 cal. B) ganhou 404cal. C) perdeu 4 850 cal. D) ganhou 4 850 cal. E) não trocou calor com o meio externo.

Answers

Answer:

A opção A está correta.

O sistema formado pela garrafa térmica e a água perde 400 cal de calor para o meio ambiente.

Option A is correct.

The system formed by the thermos and the water loses 400 cal of heat to the environment.

Explanation:

Quando a temperatura de um sistema reduz, fica claro que o sistema perdeu calor ou energia térmica. Como a temperatura é um dos indicadores mais claros disso, esta conclusão é hermética e correta.

Mas, para saber a quantidade de calor perdida para o meio ambiente, agora fazemos alguns cálculos de energia térmica.

Transferência de calor de ou para o sistema de água e garrafa térmica = c × ΔT

c = capacidade térmica do sistema de água e garrafa térmica = 80 cal /°C

ΔT = Alteração da temperatura do sistema de água e garrafa térmica = (temperatura final) - (temperatura inicial) = 55 - 60 = -5°C

Calor transferido = 80 × -5 = -400 cal.

O sinal de menos mostra que o calor é transferido para fora do sistema, ou seja, o calor é perdido no sistema.

Espero que isto ajude!!!

English Translation

The thermos (also known as "Dewar vase") is an extremely useful device to conserve bodies (essentially liquid) at high temperatures, minimizing energy exchanges with the environment, which is generally colder. A thermos contains water at 60 o C. The thermos + water set has a thermal capacity of C = 80 cal / o C. The system is placed on a table and, after a considerable period of time, its temperature decreases to 55 o C. In this case, it is concluded that the system formed by the thermos and the water inside:

a) lost 400 cal. B) gained 404cal. C) lost 4 850 cal. D) gained 4 850 cal. E) did not exchange heat with the external environment.

Solution

When a system's temperature reduces, it is clear to conclude that the system has lost heat or thermal energy. Since temperature is one of clearest indicators of this, this conclusion is airtight and correct.

But, to know the amount of heat lost to the environment, we now do some thermal energy calculations.

Heat transferrred from or to the water and thermos system = c × ΔT

c = heat capacity of the water and thermos system = 80 cal/°C

ΔT = Change in temperature of the water and thermos system = (final temperature) - (initial temperature)

= 55 - 60 = -5°C

Heat transferred = 80 × -5 = -400 cal.

The minus sign shows that the heat is transferred out of the system, that is, the heat is lost from the system.

Hope this Helps!!!

Reto: Aníbal desea construir una carpa de base hexagonal de 1,40 m de altura. El vértice de la base es de 0,80m y la longitud de la arista lateral mide 1,80m. ¿cuanto de tela necesito para cubrir la superficie lateral de la carpa? ¿cuanto de tela necesito para cubrir la base de la pirámide, que es un hexágono regular? Cuál es el volumen de la pirámide? ¿cuál es el área total de la pirámide?

Answers

Answer:

1.- para cubrir la superficie lateral 4.32 metros²

2.- Area de la base  2.15 metros²

3.- Volumen 1 m³

4.- Area total 6.47 metros²

Explanation:

El área lateral sera calcular el area de seis triangulos iguales cuya base es

0.80 de base x 6 lados = 4.80 metros perimetro de la base

4.80 perimetro de base x 1.80 arista lateral / 2 = 4.32m2

Area de la base:

Perímetro x Apotema / 2

Siendo la Apotema la altura de los triangulos que componen un hexagono calculada utilizando el teorema de pitágoras:

[tex]\sqrt{0.8^2 + (0.8/2)^2} = Apotema[/tex]

Apotema = 0.894427191

Area: 4.80 x 0.894427191 / 2 = 2.146625258

sumando el area de la base mas el area lateral se obtiene el area total

2.15 + 4.32 = 6.47 metros

Volumen de la pirámide:

Area de la Base x Altura / 3

2.15 x 1.40 / 3 = 1.00333 m3

A train moves at a constant velocity of 50 km/hHow far will it move in 0.5 h?
A. 10 km
B. 45 km
C.25 km
D. 20 km

Answers

Answer:

C

Explanation:

[tex]\dfrac{50km}{h}\cdot 0.5h= \\\\\\50km\cdot 0.5=25km[/tex]

Therefore, the correct answer is choice C. Hope this helps!

The correct answer is C.

It is C because .5 h is equal to 30 minutes. So half of 50 km is 25 km(Divided by 2)

Two wires of circular cross section are made of the same metal. Wire 1 has radius rr and length LL; wire 2 has radius 2r2r and length 2L2L. The potential difference between the ends of the wire is the same for both wires. Find the ratio of the resistance of wire 2 to the resistance of wire 1.

Answers

Answer:

Ratio of wire 2 to wire 1 is 0.5 : 1

Explanation:

Wire 1:

length = L

radius = r

Wire 2:

length = 2L

radius = 2r

Resistance of a conductor varies directly as the length and inversely as the cross sectional area. Mathematically

[tex]R = \frac{pl}{a}[/tex]

l = length of conductor

a = cross sectional area of the conductor

p = resistivity of the material with which the conductor is made.

since we are considering the same material, we can ignore the resistivity of the wire.

For wire 1

cross sectional area = [tex]\pi r^{2}[/tex]

therefore,

resistance R = [tex]\frac{L}{\pi r^{2} }[/tex]

For the second wire 2

cross sectional area = [tex]4\pi r^{2}[/tex]

therefore,

resistance R = [tex]\frac{2L}{4\pi r^{2} }[/tex]

Ratio of wire 2 to wire 1 will be

[tex]\frac{2L}{4\pi r^{2} }[/tex] ÷ [tex]\frac{L}{\pi r^{2} }[/tex] = [tex]\frac{2L}{4\pi r^{2} }[/tex] x [tex]\frac{\pi r^{2} }{L}[/tex]

Ratio of resistance of wire 2 to wire 1 = 2/4 = 0.5 : 1

difference between uniform velocity and variable velocity .​

Answers

Answer:

If a body covers equal displacement in equal interval of time,however small may be the body is said to have uniform velocity. If a body covers in equal displacement in equal interval of time is called variable velocity.

Dominic made the table below to organize his notes about mixtures.
Properties of Mixtures
has no set composition
must have more than one state of matter
must have more than one substance
What mistake did Dominic make?
The title should read "Properties of Solutions" because some mixtures do not have all of the properties listed.
There is a definite recipe to make each mixture, so the composition of a mixture is set.
Although it is possible to have more than one state, it is also possible to have only one state.
A single substance can be used to make a mixture if the substance is composed of more than one element.

Answers

Answer:

Althought it us possible to have more then one state, it's also possible to have only one state of matter

Explanation:

You can make solutions of only one state if matter, for example , it two liquids can be mixed to form a solution they are called miscible.

Answer:

The correct answer is C.) Although it is possible to have more than one state, it is also possible to have only one state.

Explanation:

I just did the test on edge and got it right

Who found Uranus? Name?​

Answers

Answer:William Herschel found the seventh planet now known as uranus

<!> Brainliest is appreciated! <!>

Explanation:

Answer:

William Herschel

Explanation:

Which of the following statements are true (mark all that apply) primordial nucleosynthesis produced all of the elements heavier than helium chemical composition of our solar system matches the chemical composition of the Milky Way some of the stars in the Milky Way may be older than the Milky Way your body contains a lot of helium nearly all atoms of elements heavier then helium were produced through nuclear fusion in stellar interiors and through reactions that occur during explosions that massive stars undergo at the ends of their lives or during mergers of stellar remnants called neutron stars some of the oldest galaxies are about 13.2 billion years old nucleosynthesis is a process through which the atoms of various elements are produced you're mainly made of hydrogen

Answers

Answer:

The correct options are;

1) The chemical composition of our solar system matches the chemical composition of the Milky Way

2) Nearly all atoms of elements heavier than helium were produced through nuclear fusion in stellar interiors and through reactions that occur during explosions that massive stars undergo at the ends of their lives or during mergers of stellar remnants called neutron stars

3) Some of the oldest galaxies are about 13.2 billion years old

4) Nucleosynthesis is a process through which the atoms of various elements are produced

5) You re mainly made of hydrogen

 

Explanation:

1) There are dependencies between chemical composition of stars and planets and the same distribution of chemicals we have in our Solar system have been observed to be present in varying resemblance through out the Milky Way

2) The formation of heavier elements are believed to have been formed by astrophysical fusion processes

3) The oldest known object (and hence the galaxy where the star resides), is from a distant star known as GRB 090423 which is about 13 billion years old

4) New atomic nuclear are created by the process of protons and neutrons by the process of nucleosynthesis

5) 62%of the atoms in the body are hydrogen atoms.

A machine is 40 % efficient. The total energy supplied to the machine is 4 kJ. Calculate how much useful energy can be transferred.

Answers

Answer:

1.6 kJ

Explanation:

0.40 (4 kJ) = 1.6 kJ

Other Questions
"Clauss Company transfers out 14,000 units and has 2,000 units of ending work in process that are 25% complete. Materials are entered at the beginning of the process and there is no beginning work in process. Assuming unit materials costs of $3 and unit conversion costs of $5, what are the costs to be assigned to units (a) transferred out and (b) in ending work in process ABC and ADC are triangles. The area of triangle ADC is 52m^2 if i have to do 60 hours in 5 weeks how many mintues do i do a day Two cylindrical cans of beef stew sell for the same price. One can has a diameter of 8 inches and a height of 4 inches. The other has a diameter of 6 inches and a height of 7 inches. Which can contains more stew & is , therefore ,a better buy? PLEASE HELP ASAP Brent is driving to a conference in another state. Three hours after leaving his home and beginning his drive, Brent is still 470 miles from his destination. After another 4 hours of driving, Brent is 258 miles from his destination. After 9 hours of driving, Brent plans to stop at a hotel for the night and begin his trip again 12 hours later. If Brents average speed had been faster or slower on his trip, what features of the graph would change and how would they change in each situation. Explain your answers. Type your response here: Brent decided that he needed to reach his destination in 11 hours of driving. What would his average rate of speed, rounded to the nearest hundredth, need to be to accomplish this? Show your work. Ruth has a beaker containing a solution of 800 mL of acid and 200 mL of water. She thinks the solution is a little strong, so she drains 100 mL from the beaker, adds 100 mL of water, and stirs the solution. Ruth thinks the solution is still too strong, so again she drains 100 mL from the beaker, and adds 100 mL of water. How many mL of water are now in the beaker? What is the value ofP(X = 2 or X = 0)Enter your answer in the box How can a state's gerrymandering impact goverment at the national level?a) A state can draw districts favoring votes for one party to the House of Representatives.b) A state can change district numbers to increase the number of representatives it has.c) A state can order people to move to another district to encourage the election of certain parties.d) A state can close or restrict voting for districts that do not align with its preferred policies. The coronais the part of the sun that we see from EarthO releases mostly harmful UV and X-ray radiationcreates the sun's energy from nuclear reactionsis mostly made of helium atoms 1+1(I want to give points back so i am doing this).Pay it Forward ) Find the average rate of change of the area of a circle with respect to its radius r as r changes from (i) 2 to 3 (ii) 2 to 2.5 (iii) 2 to 2.1 (b) Find the instantaneous rate of change when r 2. (c) Show that the rate of change of the area of a circle with respect to its radius (at any r) is equal to the circumference of the circle. Try to explain geometrically why this is true by drawing a circle whose radius is increased by an amount Dr. How can you approximate the resulting change in area DA if Dr is small? Is the selection below a permutation, a combination, or neither? Explain your reasoning. Upper A group of 5 senators is chosen to be part of a special committee. HELP ASAP PLEASE!!!! SHOW WORK D = childs dosage in milligrams a = age of the child M = adult dosage in milligrams The child weighs 55 lbs. Convert the childs weight in pounds (lbs.) to kilograms (kg). Parallelogram H G J L is shown. Diagonals are drawn from point H to point J and from point G to point L and intersect and point K. In parallelogram HGJL, HK = c 7, JK = 3c 33, and GK = c + 12. What is the length of segment GL? GL = units b(1)=16 b(n)=b(n1)+1 Find the 2 term in the sequence. Write a paragraph summarizing Gandhi's influence. Howshould he be remembered?Gandhi fought against racial discrimination in Need Help Please I'm Out Of Time ;( Find the GCF (greatest common factor) of 84 and 36. Be sure to show your work. Then, using complete sentences, explain what your answer means. Samples of aluminum-alloy channels were tested for stiffness. the following frequency distribution was obtained. The distribution is assumed to be normal.stiffness frequency2480 232440 352400 402360 332320 21a) What is the approximate mean of the population from which the sample were taken?b) What is the approximate standard deviation of the population from which the samples were taken?c) What is the approximate probability that stiffness would be less than 2350 for any given channel section? Personal Trainer, Inc. owns and operates fitness centers in a dozen Midwestern cities. The centers have done well, and the company is planning an international expansion by opening a new "supercenter" in the Toronto area. Personal Trainers president, Cassia Umi, hired an IT consultant, Susan Park, to help develop an information system for the new facility. During the project, Susan will work closely with Gray Lewis, who will manage the new operation.BackgroundSusan and Gray finished their work on user interface, input, and output design. They developed a user-centered design that would be flexible and easy to learn. Now Susan turned her attention to the architecture for the new system. Susan wanted to consider their own organization and culture, enterprise resource planning, total cost of ownership, scalability, Web integration, legacy systems, processing methods, security issues, and corporate portal. She also needed to select a network plan, or topology, that would dictate the physical cabling and network connections, or consider a wireless network. When all these tasks were completed, she would submit a system design specification for approval.Tasks1. What software and hardware infrastructure will be necessary to ensure Personal Trainer can process point of sale transactions?2. Prepare an outline for a system design specification and describe the contents of each section. Study the diagram of circle K, where JL and LM are tangent to circle K at points J and M, respectively. Also, JL=3x+10 and ML=7x6. What is the length of LM? 22 17.6164