Polarizing windows, filters, etc. are often used to reduce the amount of light that enters the lens of a camera or into a room or a car. A library atrium has an overhead skylight that lets in too much light during the day which heats up the interior of the library far too much. The building engineer installs new double paned polarizing sky lights to reduce the intensity. If sunlight, which is unpolarized, has an average intensity of 1366 W/m2 what angle should the polarizing axis of the second pane of the window make with the polarizing axis of the first pane of the window in order to reduce the intensity of the sunlight to 33% of the original value

Answers

Answer 1

Answer:

 θ = 35.7º

Explanation:

For this exercise we must use the law of Malus

          I = I₀ cos² θ

where the angle is between the two polarizers.

When the unpolarized light from the sun reaches the first polarizer, only the light polarized in the direction manages to be transmitted, which is why

          I₁ = I₀ /2

this light reaches the second polarizer

           I₂ = I₁ cos² θ

           I₂ = I₀/2    cos² θ

           cos² θ = 2 I₂ / Io

indicate that the transmitted light is 33% = 0.33 I₀

          cos² θ = 2 0.33

          cos θ = √0.66

          θ = cos⁻¹ 0.8124

          θ = 35.7º


Related Questions

Joshua's physics lab group has been assigned project of designing a model bobsled track Each group will roll a marble down the track with the objective of having the marbte finish with the fastest time. Assume that the track is frictionless, and the length of all tracks is the same. They can use a small marble with a mass of 15g or a large marble with a mass of 209. What should his team do to give their marble the most potential energy? A) They should use a small marble with the ramp at a 45° angle B) They should use a large marble with the ramp at a 60° angle, C) They should use a large marble with the ramp at a 75° angle. 2) They should use a small marble with the ramp at a 60° angle​

Answers

They should use a large marble with the ramp at a 75 degree angle

A boy is pulling a sled with a net force of 10 N. If the mass of the sled is 20 kg, what is the acceleration of the sled?

Answers

Answer:

0.5 m/s

Explanation:

acceleration= force times mass

Given the amount of force applied on the sled as well as its mass, the acceleration of the sled is 0.5m/s².

What is force?

A force is simply referred to as either a push or pull of an object resulting from the object's interaction with another object.

From Newton's Second Law, force is expressed as;

F = m × a

Where is mass of object and a is the acceleration

Given the data in the question;

Force applied F = 10N = 10kgm/s²Mass of the sled = 20kgAcceleration a = ?

F = m × a

10kgm/s² = 20kg × a

a = 10kgm/s² ÷ 20kg

a = 0.5m/s²

Given the amount of force applied on the sled as well as its mass, the acceleration of the sled is 0.5m/s².

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In a stunt, three people jump off a platform and fall 8.5 m onto a large air bag. A fourth person at the other end of the air bag, the "flier," is launched 16 m vertically into the air. Assume all four people have a mass of 74 kg. What is the momentum of the flier just after launch? Let upward be the positive direction.

Answers

Answer:

They Died Period NO MORE

A muon is a type of subatomic particle. If a muon is at rest in the laboratory, it will decay into an electron after about 2 microseconds. Suppose an observer watches a muon travel through the atmosphere at 90% of the speed of light. How does the lifetime of the moving muon compare to the laboratory muon for an observer at rest with respect to the lab

Answers

Answer:

 [tex]\frac{t}{t_p}[/tex] = 2.29

Explanation:

For this exercise as the muon goes at speeds close to the speed of light we must use relativists

          t =[tex]\frac{t_p}{\sqrt{1- (\frac{v}{c})^2 } }[/tex]

The proper time is the decay time in the reference frame where the muon is fixed ( laboratory), t_p = 2 10⁻⁶ s and the relation

            v / c = 0.90

let's calculate

          t = [tex]\frac{2 \ 10^{-6} }{\sqrt{1 \ - \ 0.9^2 } }[/tex]2 10-6 / Ra (1 - 0.9²)

          t = 4.59 10⁻⁶ s

the ralation is

          [tex]\frac{t}{t_p} = \frac{4.59 \ 10^{-6}}{ 2 \ 10^{-6}}\\[/tex]

          [tex]\frac{t}{t_p}[/tex] = 2.29

¿Cuál es la frecuencia de rotación en la tierra?

Answers

Answer:

frequency is approximately 11.5 µHz, or more exactly, 11.5740740e-6 Hz

Explanation:

La Tierra gira más y más lento
Movimientos de la Tierra Características
Periodo de rotación sideral 365,256 96 días
Período de rotación (día sideral) 0,997 258 días, o 23,93419 h
Velocidad de rotación (en el ecuador) 1 674,364 km/h
Periodo de precesión 25 765 anos
4 more

Does the mass change how a bouncy ball bounces

Answers

The more mass an object has, the more kinetic energy it has when dropped, due to gravity. ... If the force of impact is too great for the ball to absorb, it may collapse and lose its bounce as the energy is dissipated in a different manner.

Answer:

hiii what's up. and good morning hyd

A spring with a spring constant of 25.0N/m is stretched 4.50m. What is the force that the spring would apply?​

Answers

Explanation:

[tex]from \: hookes \: law : \\ force = k \bold{.}e \\ = 25.0 \times 4.50 \\ = 112.5 \: N[/tex]

A spool whose inner core has a radius of 1.00 cm and whose end caps have a radius of 1.50 cm has a string tightly wound around the inner core. The spool is free to roll without slipping on a horizontal surface. If the string unwinds horizontally from the bottom of the core with a constant speed of 25.0 cm/s, what is the speed of the spool

Answers

Answer:

v₁ = 37.5 cm / s

Explanation:

For this exercise we can use that angular and linear velocity are related

        v = w r

in the case of the spool the angular velocity for the whole system is constant,

They indicate the linear velocity v₀ = 25.0 cm / s for a radius of r₀ = 1.00 cm,

         w = v₀ /r₀

for the outside of the spool r₁ = 1.5 cm

         w = v₁ / r₁1

since the angular velocity is the same we set the two expressions equal

        [tex]\frac{v_o}{r_o} = \frac{v_1}{r_1}[/tex]

        v1 = [tex]\frac{r_1}{r_o} \ \ v_o[/tex]

let's calculate

       v₁ = [tex]\frac{1.50}{1.00} \ \ 25.0[/tex]

       v₁ = 37.5 cm / s

Pedro is planning to model how changes in weather affect evaporation from lakes for his first experiment he wants to test how humidity affects the evaporation rate. he places one beaker with 300 mL of water in a dry area. and places another beaker with 300 mL of water near a humidifier which of the following variables does Pedro need to control during his experiment
A. humidity only
B. humidity and evaporation rate
C. volume of water and tempature
D. volume of water only

Answers

Pedro needs to control the variables such as volume of water and temperature during his experiment. So, option C.

What is meant by humidity ?

The amount of water vapor in the air is known as humidity. The humidity will be high if there is a lot of water vapour in the atmosphere.

Water can evaporate even at very low temperatures, but as the temperature rises, the rate of evaporation increases.

More surface molecules per unit of volume may be able to escape from a substance with a larger surface area, so it will evaporate more quickly.

The control variables in an experiment are the variables that the experimenter intends to keep constant always so as to limit their effect on the measurements of the relationship between the dependent and the independent variable.

Therefore, in order to have a proper measurement of the effect of humidity on evaporation rate, other variables such as temperature, and the volume of the water in the experiment investigations which affect evaporation rate by the provision of heat, (temperature) and their heat capacity, the volume, etc. should be controlled.

Hence,

Pedro needs to control the variables such as volume of water and temperature during his experiment. So, option C.

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A ball is thrown downward from the top of a building with an initial speed of 25 m/s.
It strikes the ground after 2.0 s. How high is the building?
20 m
30 m
50 m
70 m

Answers

Answer:

h = 69.6 m

Explanation:

Data:

Vo = 25 m/st = 2.0 sg = 9.8 m/s²h = ?

Formula:

[tex]\boxed{\bold{h=V_{0}*t+\frac{g*(t)^{2}}{2}}}[/tex]

Replace and solve:

[tex]\boxed{\bold{h=25\frac{m}{s}*2.0\ s+\frac{9.8\frac{m}{s^{2}}*(2.0\ s)^{2}}{2}}}[/tex][tex]\boxed{\bold{h=50\frac{m}{s^{2}}+\frac{9.8\frac{m}{s^{2}}*4\ s^{2}}{2}}}[/tex][tex]\boxed{\bold{h=50\ m+\frac{39.2\ m}{2}}}[/tex][tex]\boxed{\bold{h=50\ m+19.6\ m}}[/tex][tex]\boxed{\boxed{\bold{h=69.6\ m}}}[/tex]

The building has a height of 69.6 meters.

Greetings.

Stars that are not very hot but give off a lot of light are
O nebula
O main sequence stars
giants
O giants
O dwarfs

Answers

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

Giants.

thankshope it helps.

Explanation:

giants are those stars that are not so hot but give a lot of light

The key insight that Bohr introduced to his model of the atom was that the angular momentum of the electron orbiting the nucleus was quantized. He introduced the postulate that the angular momentum could only come in quantities of nh/(2π), where h is Planck's constant and n is a nonnegative integer (0,1,2,3,…). Given this postulate, what are the allowable values for the velocity v of the electron in the Bohr atom? Recall that, in circular motion, angular momentum is given by the formula L= mvr.

Answers

Answer:

  v = [tex]n \frac{\hbar }{m r}[/tex]

the sppedof the electron is also quantized

Explanation:

The angular momentum of a rotating body is

         L = m v r

in Bohr's atomic model the quantization postulate is that the angular momentum is equal to

         L = n [tex]\hbar[/tex]

we substitute

        n [tex]\hbar[/tex] = m v r

        v = [tex]n \frac{\hbar }{m r}[/tex]

where n is an integer.

Therefore, the sppedof the electron is also quantized, that is, sol has some discrete values.

if an object sinks in water its density is greater than that of water

Answers

I think this is true but sorry if that’s wrong. Hope this helps :-)
Density is a measure of how heavy something is compared to its size. If an object is more dense than water it will sink when placed in water, and if it is less dense than water it will float.

The Sun is a star that Earth and the other planets revolve around. The Sun has a large gravitational pull. The gravitational attraction of the Sun contributes most to which of the following?
A) Motion of the planets
B) Magnetic field of the planets
C) Mass and density of the planets
D) Atmosphere of the planets

Answers

Answer:

A

Explanation:

The sun is an emits energy in the form of light and heat.

The planets absorb this energy which helps keep them in motion. The closer they are to the sun, the more energy, the more speed and less the time it takes a planet to orbit the sun.

The gravitational pull of the Sun contributes motion of the planets because here the gravitational pull of the sun is balanced by the centrifugal force produced by the revolution of planets. The correct option Is A.

What is centrifugal force?

Centrifugal force is the pseudo-force that occurs only in the rotating frame of reference (non-inertial frame). it is directed away from the center. Its magnitude is,

F=[tex]\frac{mv^{2} }{r}[/tex]

where m= mass of the body in kg.

v= velocity f the body in m/s.

r = radius in m.

The star sun has a  gravitational pull that is about 274 m/s²  which is greater than the other planets. Due to this pull the planets tend to pull toward the sun but it does not happen because the pull force is balanced by the centrifugal force that is produced by the revolution of the planets around the sun.

Hence The Sun's gravitational pull contributes to the motion of the planets.

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Help me please please help

Answers

Answer:

The answer is C.

Explanation:

If you have ever tried doing so, hair stick to the ballon. Opposites attract as well, so the answer is C.

An open vertical tube has water in it. a tuning fork vibrates over its mouth. as the water level is lowered in the tube, a resonance is heard when the water level is 180 cm below the top of the tube, and again after the water level is 220 cm below the top of the tube a resonance is heard. what is the frequency of the tuning fork? the speed of sound in air is 343 m/s. answer in units

Answers

Answer:

[tex]428.75\ \text{Hz}[/tex]

Explanation:

[tex]\Delta y[/tex] = Change in water level = [tex]220-180=40\ \text{cm}[/tex]

[tex]\lambda[/tex] = Wavelength

[tex]v[/tex] = Speed of sound = 343 m/s

Between the points of resonance there exists [tex]\dfrac{1}{2}\lambda[/tex]

[tex]\dfrac{1}{2}\lambda=\Delta y\\\Rightarrow \lambda=2\Delta y\\\Rightarrow \lambda=2\times 40\\\Rightarrow \lambda=80\ \text{cm}[/tex]

Wavelength is given by

[tex]f=\dfrac{v}{\lambda}\\\Rightarrow f=\dfrac{343}{0.8}\\\Rightarrow f=428.75\ \text{Hz}[/tex]

The frequency of the tuning fork is [tex]428.75\ \text{Hz}[/tex].

When electrons are accelerated by 2450 V in an electron microscope, they will have
wavelengths of:
a) 8.113 nm
b) 0.622 nm
c) 0.811 nm​

Answers

The wavelength of the electron microscope is 2.472*10⁻²⁰ m.

Calculation:

Provided, accelerating voltage = 2450 V

According to de Broglie's equation:

λ = h/p

where,λ = the wavelength of the particle that moves

P= momentum of moving particle

h= plank's constant = 6.63 x 10⁻³ Js

We know that,

P = √(2mk)

P = √(2mqV)

where P= momentum of moving particle

M= mass of the moving object

K= kinetic energy of the object

V= Electric potential of the object(accelerating voltage)

q= charge of the object(electron) = e=1.6 x 10⁻¹⁹C

∴λ = h/√(2meV) = [tex]\frac{6,63 *10^{-34} }{2*9.1*10^{-31}*1.6*10^{-19}*2450 }[/tex]

=2.472*10⁻²⁰ m

S0, the wavelength of an electron microscope is 2.472*10⁻²⁰ m. Think it matches option C.

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If the distance between the first order maximum and the tenth order maximum of a double-slit pattern is 18 mm and the slits are separated by 0.15 mm with the screen 50 cm from the slits, what is the wavelength of the light used

Answers

Answer:

Wavelength of light is 600 nm

Explanation:

Given

Distance between the first order maximum and the tenth order maximum of a double-slit pattern = 18 mm

Separation between the slits = 0.15 mm

Distance of screen from the slits = 50 cm

Wavelength

[tex]= \frac{18*10^{-3} * 0.15 *10^{-3}}{0.50*9} \\= 6 *10^{-7}\\= 600[/tex]nm

HELP ME PLEASEEEEEEEEEEEEEE

Answers

Answer:

u r right

Explanation:

it is A. DNA

i took that class.

:)

Answer:

I think it may be a brain?

You are working in the finance department of Innotech Ltd (INT). The Company has spent $5 million
in research and development over the past 12 months developing cutting-edge battery technology
which will be incorporated into the electric vehicle market. INT now need to choose between the
following three options for bringing the product to market. These options are:
Option 1: Manufacturing the product “in-house” and selling directly to the market
Option 2: Licensing another company to manufacture and sell the product in return for a royalty
Option 3: Sell the patent rights outright to the company mentioned in option 2
Your task
Your manager, INT’s CFO, Mr Barry Smith, has asked you to evaluate the three different options and
draft a memo to the Board of Directors providing recommendations on the alternatives, along with
supporting analyses.
Mr Smith has outlined the following three (3) areas you need to cover in your memo:
a) Analyse base case figures for the three options and using NPV as the investment decision
rule;
b) Provide recommendations based on the base-case analyses;
c) Provide recommendations on further analyses and discuss factors that should be considered
prior to making a final decision on the three options (Note. You do NOT have to undertake
any further financial analyses).
Further details for the various options are as follows:
Option 1: Manufacturing the product “in-house” and selling directly to the market
Three months ago, INT paid an external consultant $1.5 million for a production plan and demand
analysis. The consultant recommended producing and selling the product for five years only as
technological innovation will likely render the market too competitive to be profitable enough after
that time. Sales of the product are estimated as follows:
In the first year, it is estimated that the product will be sold for $45,000 per unit. However, the price
will drop in the following three years to $40,000 per unit and fall again to $36,000 per unit in the
final year of the project, reflecting the effects of anticipated competition and improving technology
Year Estimated sales volume
(units)
1 5,200
2 4,600
3 4,200
4 3,800
5 3,600
In the first year, it is estimated that the product will be sold for $45,000 per unit. However, the price
will drop in the following three years to $40,000 per unit and fall again to $36,000 per unit in the
final year of the project, reflecting the effects of anticipated competition and improving technology
in the market. Variable production costs are estimated to be $29,000 per unit for the entire life of the
project.
Fixed production costs (excluding depreciation) are predicted to be $3 million per year and marketing
costs will be $1.6 million per year.
Production will take place in factory space the company owns and currently rents to another business for $2.5 million per year. Equipment costing $87 million will have to be purchased. This
equipment will be depreciated for tax purposes using the prime cost method at a rate of 10% per
annum. At the end of the project, the company expects to be able to sell the equipment for $37
million.
Investment in net working capital will also be required. It is estimated that accounts receivable will
be 30% of sales, while inventory and accounts payable will each be 25% of variable and fixed
production costs (excluding depreciation). This investment is required from the beginning of the
project because credit sales, inventory stocks and purchases on trade credit will begin building up
immediately. All accounts receivable will be collected, suppliers paid and inventories sold by the end
of the project, thus the investment in net working capital will be returned at that point. (Refer to
spreadsheet example provided in Assessment Details).
Option 2: Licensing another company to manufacture and sell the product in return for a royalty
Lion Batteries Ltd (LIB), a multinational corporation, has expressed an interest in manufacturing and
marketing the pro

Answers

Answer: The Company has spent $5 million in research and development over the past 12 months developing cutting-edge battery technology which will be incorporated ...

Explanation: uhmmmmmm i dont know this one but it is pretty ez

4. A 9000 kg train car travelling at 4.5 m/s inellastically collides with a 7500 kg train car at rest. If
all of the kinetic energy not conserved in this collision goes into increasing the internal energy of
the cars, how many Joules were absorbed?

Answers

Answer:

91125Joules

Explanation:

Given data

M1= 9000 kg

U1= 4.5m/s

M2= 7500 kg

U1= 0 m/s

KE1= 1/2M1U1^2

KE1= 1/2*9000*4.5^2

KE1= 1/2*9000*20.25

KE1= 1/2*182250

KE1=91125joules

KE2= 1/2M2U2^2

KE1= 1/2*7500*0^2

KE1=0 joules

Hence the energy absorbed is

E= KE1-KE2

E= 91125-0

E= 91125Joules

A spring is hung from the ceiling. When a coffee mug is attached to its end, it stretches 2.5 cm before reaching its new equilibrium length. The block is then pulled down slightly and released. What is the frequency of oscillation

Answers

Answer:

Explanation:

In equilibrium , weight of mug is equal to restoring force .

mg = kx where m is mass of mug , k is spring constant and x is extension .

k / m = g / x = 9.8 ms⁻² / .025 m

= 392

frequency of oscillation n = [tex]\frac{1}{2\pi}\sqrt{\frac{k}{m} }[/tex]

[tex]n=\frac{1}{2\pi}\sqrt{392 }[/tex]

= 4.46 per second.

94. The diagram shows the orbit of a satellite
around Earth. If Earth's mass is 5.97x10 kg,
what is the satellite's orbital speed?
(G=6.67x10-11 N·mº/kg?)
A 5.84x10' m/s
B 6.31x104 m/s
C 7.23x10 m/s
D 7.65x10 m/s

Answers

Answer:

7.65x10^3 m/s

Explanation:

The computation of the satellite's orbital speed is shown below:

Given that

Earth mass, M_e = 5.97 × 10^24 kg

Gravitational constant, G = 6.67 × 10^-11 N·m^2/kg

Orbital radius, r = 6.80 × 10^6m

Based on the above information

the satellite's orbital speed is

V_o = √GM_e ÷ √r

= √6.67 × 10^-11 × 5.97 × 10^24 ÷ √6.80 × 10^6

=  7.65x10^3 m/s

Light is traveling in glass, and hits a glass/unknown surface. In the glass the light beam is making an angle of 45.0 o with the normal to the surface. The glass has an index of refraction of 1.52. (A) If the refracted light ray leaves the glass at an 55o from the normal, what is the index of refraction for the unknown surface

Answers

Answer:

n = 1.31

Explanation:

When a ray of light crosses the separation surface between two transparent media, there exists a fixed relationship between the indexes of refraction of both media, related with the angles of incidence and refraction, which is known as Snell's Law.The Snell's Law can be written as follows:

        [tex]n_{i} * sin( \theta_{i}) = n_{r} * sin( \theta_{r}) (1)[/tex]

In our case the ray is incident from the glass, so ni = n glass = 1.52The angle of incidence is the angle that the ray makes with the normal to the separation surface, so θi=45º.The angle of refraction is the angle that the refracted ray makes with the normal, so θr= 55ºReplacing by the values in (1), and solving for nr, we have:

       [tex]n_{r} =\frac{n_{i} * sin \theta_{i} }{sin \theta_{r} } = \frac{sin (45)*1.52}{sin (55)} = 1.31 (2)[/tex]

8) Now drop the magnetic ball of the same size down the section of copper tube. Currents are induced in the tube both above and below the falling magnet (pictured here as a disc for clarity). On the drawing below, find the direction of the induced current, the direction of the induced magnetic field, and the N/S poles for both induced currents. Explain how these induced currents slow down the falling magnet.

Answers

Answer:

Explanation:

To have a deeper understanding of this. Let's begin with the acceleration due to gravity (g), with N pointing downward.

Since magnetic field lines originate in the north, field strength decreases for the upper disk and increases for the lower disk when the disk is in the center of two disks.

According to Lenz's theorem, current-induced would be so that the magnetic field due to this induced current opposes the magnetic field due to which there is an induced current, so induced current will be clockwise for the upper disk and anticlockwise for the lower disk.

If the south pole is pointing backward, the generated current will flow anticlockwise for the upper disk and clockwise for the lower disk.

⦁ Light coming from a fish makes an incidence angle of 30° to normal under the water. The index of refraction of water is 1.33. A fisherman is looking at the fish through air. At what angle with the normal will the fish appear to the fisherman? Use Snell’s law: .

Answers

Answer:

snell's law = sinI /sin r

refractive index = sinI /sin r

1.33= 30 /sinR

sinR= 1.33×30

sinR=39.9

The angle with the normal by which the fish appear to the fisherman is 41.68 degrees.

What is Snell's law?

According to the Snell's law, the ratio of index of reflection of the different material is equal to the ratio of incident sine angle and reflective sine angle. It can be given as,

[tex]\dfrac{n_1}{n_2}=\dfrac{\sin\theta_2}{\sin\theta_1}[/tex]

Here (n₁ and n₂) are the index and reflective index and (θ₁ and θ₂) are the incident and reflected angle.

Light coming from a fish makes an incidence angle of 30° to normal under the water. The index of refraction of water is 1.33. A fisherman is looking at the fish through air.

The index of refraction of air is 1. Thus, by the Snell's law,

[tex]\dfrac{1}{1.33}=\dfrac{\sin(30)}{\sin\theta_1}\\\theta_1=41.68^o[/tex]

Thus, the angle with the normal by which the fish appear to the fisherman is 41.68 degrees.

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help Plz, these questions are super confusing .

Answers

Answer:

I don't know what the question is???????????????????????????????????????????????

How does the excretory system work with the circulatory system to help the body regulate itself?

Answers

Answer:

The excretory system is a close partner with both the circulatory and endocrine system. The circulatory system connection is obvious. Blood that circulates through the body passes through one of the two kidneys. Urea, uric acid, and water are removed from the blood and most of the water is put back into the system.

Explanation:

While at the county fair, you decide to ride the Ferris wheel. Having eaten too many candy apples and elephant ears, you find the motion somewhat unpleasant. To take your mind off your stomach, you wonder about the motion of the ride. You estimate the radius of the big wheel to be 12 m, and you use your watch to find that each loop around takes 26 s.What is the magnitude of your acceleration

Answers

Answer:

  a = 0.701 m / s²

Explanation:

As the game is spinning the acceleration is centripetal

           a = v² /r

The park system after a small period of acceleration goes at a constant speed, for which we can use the relations of the uniform motion

           v = d / t

the distance of a circle is

           d = 2π r

we substitute

          a = (2π r / t) ² / r

          a = 4 pi² r / t²

           

let's calculate

          a = 4 pi² 12 / 26²

          a = 0.701 m / s²

Bobby Joe is having a fit and throws his backpack up in the air with an initial velocity of 26.2 m/s. Determine the height it will rise to before coming down and hitting Bobby Joe up the head.

A)2m
B)15m
C)25m
D)35m​

Answers

Answer:

D) 35m"

Explanation:

(and any subsequent words) was ignored because we limit queries to 32 words.
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The end of fertility, when the ovaries stop producing ova, is calledpuberty.menopause.ovulation.menstruation. This cruel emperor murdered many people and appointed his horse as consul.A. CaligulaC. Julius CaesarB. ClaudiusD. Tiberius Tabacco isa)created in labratoriesb)obtained from plantsc)an animal by productd) free of harmful componets a cirle has circumference 23.2 cm. What is the area of the circle? use 3.14 for pi With whom does Robin create a conflict when he kills the forester in Robin Hood?A. the other forestersB. the townspeopleC. the outlawsD. the sheriff20 Points Reform Traders current net operating income is $16,800 and its average operating assets are $90,000. The company's required rate of return is 15%. A new project being considered would require an investment of $28,000 and would generate annual net operating income of $3,100. What is the residual income of the new project The ages of MBA students at a university are normally distributed with a known population variance of 10.24. Suppose you are asked to construct a 95% confidence interval for the population mean age if the mean of a sample of 36 students is 26.5 years. If a 99% confidence interval is constructed instead of a 95% confidence interval for the population mean, then _______________________________________________. Read this claim from an argumentative essay about high-sugar foods. "High-sugar foods should have the same sales restrictions as other harmful substances, such as alcohol and tobacco."Which statement best represents a counterclaim to this claim?A.Sugar is a nutrient that the body uses as a source of energy; alcohol and tobacco are not. B.Consuming too much sugar over time can lead to diabetes and cardiovascular disease.C.Sugar is cheaper to buy than alcohol and tobacco.D.Studies have shown that sugar can be addictive. HELP ME PLEASE NO LINKS EITHER. 1. At an elementary school, it's picture day. Two picture packages are available. Package 1contains one class picture and ten wallet-size pictures for a cost of $19. Package 2 contains twoclass pictures and fifteen wallet-size pictures. The cost of Package 2 is $31. Find the cost of anindividual class picture and the cost of an individual wallet-size picture. What is the answer? If the U.S. nominal exchange rate declines and prices rise faster abroad than in the United States, the real exchange rate: a. decreases, and net exports for the United States decrease. b. decreases, and net exports for the United States increase. c. increases, and net exports for the United States decrease. d. increases, and net exports for the United States increase. Find the number of degrees in each rotation shown below. Simplify this please. HELPPPP ASAPP 10 POINTS SA = 2tr2 + 2trh(Use 3.14 for 1.) 5 in.30 in.Find the surface area.square inchesDo NOT round your answer. The blades of a wind turbine are at rest until the movement of air causes the blades to spin , which energy transformation happens when the blades are spinning as shown ? Two technologies that most changed the 20th century were birth control and television because x -190511Which equation represents this linear functiony = -1/4x + 5y = 4x + 5y = -4x + 5y = 1/4x + 5 Im only needing A everything else is good