A 12-V DC automobile head lamp is to be used on a fishing boat with a 24-V power system. The head lamp is rated at 50 W. A resistor is to be connected in series with the lamp to permit it to operate on 24 V. What should be the resistance and power rating of the resistor?

Answers

Answer 1

Answer:

The  resistance is  [tex]R = 2.88 \ \Omega[/tex]

Explanation:

From the question we are told that

    The  voltage  rating of the headlamp is  [tex]V_1 = 12 \ V[/tex]

     The  voltage of the power system is  [tex]p = 24 \ V[/tex]

     The  power rating of the headlamp  is  [tex]P = 50 W[/tex]

Generally the power which the resistor dissipates is mathematically represented as

      [tex]P = V_L * I[/tex]

=>       [tex]50 = 12 * I[/tex]

=>   [tex]I = 4.1667 \ A[/tex]

Generally the resistance is

      [tex]R = \frac{V_1 }{I}[/tex]

      [tex]R = \frac{12 }{4.1667}[/tex]

      [tex]R = 2.88 \ \Omega[/tex]


Related Questions

A resistance of 4 ohm is offered by a conductor when a potential difference of 6 V l'd applied across it. Calculate the current through it?.​

Answers

Answer:

1.5 Ampere

Explanation:

The formula is V=IR

so now we can derive out the formula which is

I =V

R

I = 6

4

I = 1.5 Ampere

Joey drives his Skidoo 13 kilometres north. He stops for lunch and then drives 10kilometres south. What distance did he cover? What was his displacement?

Answers

Answer:

Total distance covered (scalar quantity) = 23 km

Displacement (vector quantity) = 3 km north from the original starting point

Explanation:

Since he drove 13 km north and then 10 km south, the total distance he cover in his drive was: 13 km + 10 km = 23 km

On the other hand, his displacement was 3 km north from where he started.

A paper pinwheel is spinning in the wind. Which statement is correct about the forces responsible for the rotation?


A. The perpendicular components of gravity and the force of wind are responsible for the rotation.

B. Only the perpendicular component of wind is responsible for the rotation, because gravity points downward.

C. The components of gravity and the force of wind that point through the pivot are responsible for the rotation.

D. Only the perpendicular component of gravity is responsible for the rotation, because wind points toward the pivot.​

Answers

Answer:

Only the perpendicular component of gravity is responsible for the rotation because wind points toward the pivot.

Explanation:

A person drives a car around a circular cloverleaf with a radius of 77 m at a uniform speed of 10 m/s. What is the acceleration of the car?

Answers

Answer:

770m/s

Explanation:

caculation using one of the newton law of motion

if abus travelling at 20m/s is subject to steady decceleration of 5m/s².how long will it take yo come to rest.​

Answers

Answer:

4 seconds

Explanation:

Given:

v₀ = 20 m/s

v = 0 m/s

a = -5 m/s²

Find: t

v = at + v₀

0 m/s = (-5 m/s²) t + 20 m/s

t = 4 s

5. What occurs when an enzyme and a substrate interact at an
active site?
a. Activation energy is reduced.
b. The products are bound irreversibly.
c. The enzyme is changed by the reaction.
d. Activation energy is increased.

Answers

Answer:

B

Explanation:

The enzime's active site bindes to the substrate.... when an enzime binds to a substrate it forms a enzime-substrate complex

When an enzyme and a substrate interact at an active site, the products are bound irreversibly. Therefore, option B is correct.

What are enzymes?

Enzymes can be described as proteins that act as biological catalysts by accelerating reactions. The enzymes may act on the molecules called substrates, and the enzyme changes the substrates into different molecules known as products.

All metabolic processes require enzyme catalysis to occur at rates fast enough to sustain life. Metabolic pathways will depend upon enzymes to catalyze each step.

Enzymes catalyze more than 5,000 biochemical reaction types. Enzymes enhance reaction rates by lowering their activation energy. Some enzymes make their conversion of substrate to product occurs.

Enzymes are much larger than substrates, they can have 62 amino acid residues to over 2,500 residues in the animal fatty acid synthase. The catalytic site is located next to binding sites where residues are oriented to the substrates. The catalytic site and binding site compose the active site.

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in a young's double-slit experiment the center of a bright fringe occurs wherever waves from the slits differ in the distance they travel by a multiple of

Answers

Answer:

The path difference will be zero.

Explanation:

Given that,

In a young's double-slit experiment the center of a bright fringe occurs wherever waves from the slits differ in the distance.

Suppose, we find the multiple of wavelength

In young's double slit experiment,

We need to calculate the multiple of wavelength

Using formula of path difference

[tex]\Delta x=d\sin\theta[/tex]....(I)

[tex]d\sin\theta=m\lambda[/tex]

Where, m = fringe number

[tex]\lambda[/tex] = wavelength

For center of a bright fringe ,

m = 0

Put the value into the formula

[tex]d\sin\theta=0\times\lambda[/tex]

[tex]d\sin\theta=0[/tex]

Put the value in equation (I)

[tex]\Delta x=0[/tex]

Hence, The path difference will be zero.

A Nichrome wire 50 cm long and 0.27 mm in diameter is connected to a 1.5 V flashlight battery. What is the electric field inside the wire

Answers

Answer:

E=3V/m

Explanation:

The electric field here is simply the voltage running through the wire divided by its length. (Meaning E is independent of the diameter of the wire.)

Short work is in the attachment.

1: A generator produces electricity at about 21,600 V. This voltage needs to be increased to about 345,000 V via a transformer before being transmitted through the power grid. What is the ratio of windings between the secondary coil and the primary coil needed to do this

Answers

Answer:

16:1

Explanation:

From the question,

Since the voltage of the transformer is increased, then the winding in the secondary coil is greater than the winding in the primary coil

Applying transformer's equation

Vs/Vp = Ns/Np............. Equation 1

Where Vs = Secondary voltage, Vp = primary Voltage, Ns/Np = Ratio of the winding between the secondary coil to the winding in the primary coil.

Given: Vs = 345000 V, Vp = 21600 V

Substitute these values into equation 1

Ns/Np = 345000/21600

Ns/Np = 16:1

PHYSICS HW HELP PLS!! explain how you got it too thank you! :)
1.) F= Gm1m2/d2 for m2
2.) R= V/I for I
3.) = xd/L for d
4.) ac= v^2/r for v
5.) A= πr^2 for r
6.) vf^2= vi^2+2ax for x

Answers

Answer:

Explanation:

Can you please place the square roots in a proper manner so I may assist you?

A trucker drives with an average velocity of 27 m/s toward the east on a perfectly
straight highway.What will the trucker's displacement be after 2.0 h?

Answers

Answer:

The displacement of the driver is 194400m in the east direction

Explanation:

In physics, the displacement of a body is the distance the body travels in a specified direction.

We are told that the trucker is driving east on a perfectly straight highway. From this, we know that his direction is East. The thing left will be to find the distance travelled within 2 hours.

We can convert the time (2 hours) to seconds by multiplying it by 3600

2 hours = 7200 seconds

The distance travelled will be obtained by a product of truck's speed and the time travelled.

distance = 27m/s X 7200 s = 194400m

Therefore the displacement of the driver is 194400m in the east direction

. Suppose that the displacement of an object is related to time according to the expression: x(t) = B t3 . Using dimensional analysis, find the dimensionality of B.

Answers

Answer:

The dimensionality of B is length per cubic time.

Explanation:

Units for displacement and time are length [tex][L][/tex] and time [tex][T][/tex], respectively. Then, formula can be tested for dimensional analysis as follows:

[tex][L] = B\cdot [T]^{3}[/tex]

Now, let is clear [tex]B[/tex] to determine its units:

[tex]B = \frac{[L]}{[T]^{3}}[/tex]

The dimensionality of B is length per cubic time.

A string is waved up and down to create a wave pattern with a wavelength of 0.5 m. If the waves are generated with a frequency of 2 Hz, what is the speed of the wave that travels through the string to the other end?

Answers

Wave speed = (wavelength) x (frequency)

Wave speed = (0.5 m) x (2 /sec)

Wave speed = 1 m/s

A right triangle has a hypotenuse of 37 and a leg of 10. What is the second leg of the triangle?

Answers

Answer:

The second leg of the triangle is 35.62

Explanation:

Given that

Hypotenuse = 37

A leg = 10

Based on the above information

The second leg of the triangle is

According to the Pythagorean theorem

a^2 + b^2 = c^2

where,

a and b = legs

And, the c = hypotenuse.

Now put these values to the above formula

So,

10^2 + b^2 = 37^2

b^2 = 37^2 - 10^2

b^2 = 1269

b = sqrt(1269)

b = 35 .62

Hence, the second leg of the triangle is 35.62

The other leg is 35 mm.

a train it speed steading from 10 m/s to 20m/s in 1 minutes average speed during this time in m/s
how far does it travel while increase its speed

Answers

Explanation:

Given:

v₀ = 10 m/s

v = 20 m/s

t = 60 s

Find: v_avg and Δx

v_avg = ½ (v + v₀)

v_avg = ½ (20 m/s + 10 m/s)

v_avg = 15 m/s

Δx = v_avg t

Δx = (15 m/s) (60 s)

Δx = 900 m

A 1700 W laser emits light with a wavelength of 700 nm into a 3.0 mm diameter beam. What force does the laser beam exert on a completely absorbing target?

Answers

Answer:

F=5.7×10⁻⁶

Explanation:

Not knowing a formula outright, I decided to follow the units of some relationships I did know. Radiation pressure is defined as force per area and also intensity divided by velocity (the speed of light here of course). Breaking intensity down into power per area and isolating force gave me the relationship F=(Power/Velocity),where power is given and the velocity is a constant.

My work is in the attachment, where I double checked the units too, comment with any questions.

The force exerted by the beam on a completely absorbing target is of 0.0120 N.

Given data:

The power of laser beam is, P = 1700 W.

The wavelength of light emitted from the laser is, [tex]\lambda = 700 \;\rm nm[/tex].

The diameter of the beam is, [tex]d =3.00 \;\rm mm =3.00 \times 10^{-3} \;\rm m[/tex].

When the laser beam strikes the target, then the force exerted by the laser beam on the target is equal to the product of the laser power and the area of projection of beam.

Then the expression is,

[tex]P = \dfrac{F}{A}\\\\F = P \times \dfrac{\pi}{4} d^{2}[/tex]

Solving as,

[tex]F = 1700 \times \dfrac{\pi}{4} \times (3.00 \times 10^{-3})^{2}[/tex]

F = 0.0120 N

Thus, we can conclude that the force exerted by the beam on a completely absorbing target is of 0.0120 N.

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The tidal lung volume of human breathing, representing the amount of air inhaled and exhaled in a normal breath, is 500 cm3. (Assume atmospheric pressure.)(a) What is the number of molecules of air inhaled with each human breath when the air temperature is 18.0°C?________molecules(b) If the molar mass of air is 28.96 g/mol, what is the mass of air molecules inhaled with each breath? (Assume the air temperature is 18.0°C.)(c) It has been calculated that all of the air in Earth's atmosphere could be collected into a sphere of diameter 1,999 km at a pressure of 1.00 atm. What is the mass of the air in Earth's atmosphere? (Assume the density of air used in this calculation was 1.225 kg/m3.)(d) If all 7 billion humans on Earth inhaled simultaneously, what percentage of the atmosphere would be inhaled during this process? (Assume the air temperature is 18.0°C everywhere on Earth.)

Answers

Answer:

Explanation:

Temperature of air = 18°C = 273 + 18 = 291 K .

volume = 500 cc = 0 .5 litre .

pressure = one atmosphere ( atm) .

From gas equation , we can calculate this volume at NTP  as follows.

volume = .5 x ( 273 / 291  ) litre

= 0.469 litre .

In any gas at NTP , 22.4 litre contains 6.02 x 10²³ molecules

.469 litre will contain  6.02 x 10²³ x .469 / 22.4 molecules

= 126 x 10²⁰ molecules .

b )

one mole = 6.02 x 10²³ molecules

6.02 x 10²³ molecules  has weight of 28.96 grams

126 x 10²⁰ molecules has weight of 28.96 x 126 x 10²⁰ / 6.02 x 10²³ grams

= .606 gram .

c )

volume of all the air in the atmosphere = volume of sphere

=  4 / 3 x π  x R³

= ( 4 / 3) x 3.14 x (999.5 x 10³ )³ m³

= 4.18 x 10¹⁸ m³

density of air = 1.225 kg / m³

mass of air = 1.225 x 4.18 x 10¹⁸ kg

= 5.12 x 10¹⁸ kg

d )

volume of air inhaled by 7 billion people

= . 5 x 7 x 10⁹ litre

= 3.5 x 10⁶ m³ .

Total volume of air in atmosphere = 4.18 x 10¹⁸ m³

required percentage

= 3.5 x 10⁶ x 100 /  4.18 x 10¹⁸

= .8373 x 10⁻¹⁰ % .

2.
Which of the following is NOT a symptom of strong emotions?
A. Impulsiveness
B. Hostility
C. Blindness
D. Distraction

Answers

Answer:

blindness

Explanation:

got it right

Blindness is not a symptom of strong emotions in this scenario and is denoted as option C.

What is Emotion?

These are mental states brought on by neurophysiological changes and examples include sad, happy etc.

Blindness is a physical condition which involves impairment of the eyes which is why it was chosen.

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whos on the 1 dollar bills

Answers

Answer:

George Washington

Explanation:

The image of the famous first President of the United States-George Washington (from  1789 to 1797) is found on every $1 bill. George Washington's image began to be found on the $1 bill in 1869.

We use sponge when we have fever.Which phenomenon best describe the above statement in physics?​

Answers

Answer: heat loss by conduction

Explanation:

As the thermal energy from our body is flowing to the sponge, our body is losing heat.

an rlc series circuit has a 40.0 resistor,a 3.00 mH inductor, and a 5.00 capacitor, (a find the circuits impendance at 60.0 Hz

Answers

Answer:

Z = 530.89 ohms

Explanation:

Given that,

Resistor, R = 40 ohms

Inductor, L = 3 mH

Capacitor, C = 5 μF

We need to find the impedance of the circuit at frequency of 60 Hz. For a series LCR circuit, its impedance is given by the formula as follows :

[tex]Z=\sqrt{R^2+(X_L-X_c)^2} \\\\Z=\sqrt{R^2+(2\pi fL-\dfrac{1}{2\pi fC})^2} \\\\Z=\sqrt{(40)^2+(2\pi \times 60\times 3\times 10^{-3}-\dfrac{1}{2\pi \times 60\times 5\times 10^{-6}})^2} \\Z=530.89\ \Omega[/tex]

So, the impedance of the circuit is 530.89 ohms.

Given that average speed is distance traveled divided by time, determine the values of mm and nn when the time it takes a beam of light to get from the Sun to the Earth (in ss) is written in scientific notation. Note: the speed of light is approximately 3.0××108 m/sm/s.

Answers

Complete Question

Given that average speed is distance traveled divided by time, determine the values of m and n when the time it takes a beam of light to get from the Sun to the Earth (in s) is written in scientific notation. Note: the speed of light is approximately 3.0×108 m/s.

Answer:

The  values of  m and  n is    5 and  2  

Explanation:

From the question we are told that

   The  speed of light is [tex]v  =  3.0 *10^{8} \  m/s[/tex]

   

Generally the distance between the sun and the earth has a constant value

      [tex]d =  1.5*10^{11} \  m[/tex]

So the time  taken is mathematically evaluated as

        [tex]t =  \frac{1.5*10^{11}}{3.0*10^{8}}[/tex]

         [tex]t =  5.0 *10^{2}[/tex]

Generally scientific notation is represented as

        [tex]m* 10^n[/tex]

So comparing the standard representation of scientific notation and the value obtained we see that

     m =  5  and  n=  2  

A small metal ball is given a negative charge, then brought near to end A of an insulating rod. What happens to end A of the rod when the ball approaches it closely this first time

Answers

Answer:

Weak attraction will be observed

Explanation:

This is because the charge induction is less than the insulating rod, and a postive charge is induced when a a negative sphere is placed closed to the end of the rod

Acceleration: A water rocket can reach a speed of 75 m/s in 0.050 seconds from launch. What is its average acceleration

Answers

Answer:

1500 m/s squared

Hope this helps :)

Explanation:

A poundal is the force required to accelerate a mass of 1 lbm at a rate of 1 ft/s2 , and a slug is the mass of an object that will accelerate at a rate of 1 ft/s2 when subjected to a force of 1 lbf. (a) Calculate the mass in slugs and the weight in poundals of a 135 lbm woman (i) on earth and (ii) on the moon, where the acceleration of gravity is one-sixth of its value on earth. (b) A force of 405 poundals is exerted on a 35.0-slug object. At what rate (m/s2 ) does the object accelerate?

Answers

Answer:

We are given that

The

Mass of person = 135lbm

Weight of person on earth will be

= mass x gravity constant

= 135lbm x 32.174 ft/s2

=4343.49 lbm-ft/s2 x 1 poundal-s2/lbm-ft

= 4343.49 poundal

Again we are given that

Mass of person = 135 lbm

But here remember Mass remains the same

So

Weight of person on moon will be

mass x gravity constant on moon

= 135 lbm x 32.174 ft/s2 x 1/6

= 723.9 lbm-ft/s2 x 1 poundal-s2/lbm-ft

= 723.9poundal

But we know that

1 ft slug / lbf-s2 = 32.174 ft lbm/ lbf-s2

So

1 slug = 32.174 lbm

So then the Mass of person

= 135lbm x 1slug/32.174 lbm

=4.2slugs

So finally

Weight = 405 poundals is same as

405 lbm-ft/s2

So

Mass = 35 slug x 32.174 lbm/slug = 1126.09 lbm

Acceleration rate = weight /mass

= (405 lbm-ft/s2) / (1126.09 lbm)

= 0.3597ft/s2 x 0.305m/ft

= 1.179 m/s²

(A) What is the maximum tension possible in a 1.00-millimeter-diameter nylon tennis racket string?
(B) If you want tighter strings, what do you do to prevent breakage: use thinner or thicker strings? Why? What causes strings to break when they are hit by the ball?

Answers

Complete Question

(A) What is the maximum tension possible in a 1.00- millimeter-diameter nylon tennis racket string?

(B) If you want tighter strings, what do you do to prevent breakage: use thinner or thicker strings? Why? What causes strings to break when they are hit by the ball?

The  tensile  strength of the nylon string is  [tex]600*10^{6} \  N/m^2[/tex]

Answer:

A

   T = 471.3 \  N

B

 To prevent breakage the thickness of the string is increased

  String breakage when the racket hit the ball is as a result of the string not being thick enough to withstand the increase in tension

Explanation:

From the question we are told that

     The  diameter is  [tex]d =  1.00 \ mm  =  0.001 \  m[/tex]  

       The  tensile strength of the nylon string is [tex]\sigma =  600 *10^{6} \  N/m^2[/tex]

  Generally the radius is mathematically evaluated as

     [tex]r=  \frac{d}{2}[/tex]

=>    [tex]r =  \frac{0.001}{2}[/tex]

=>     [tex]r =  0.0005 \  m[/tex]

The cross sectional area is mathematically represented as

     [tex]A = \pi  r^2[/tex]

=>   [tex]A =  3.142  *  (0.005)^2[/tex]

=>    [tex]A =  7.855*10^{-7}\  m^2[/tex]

Generally the tensile strength of nylon is mathematically represented as

      [tex]\sigma  = \frac{T}{ A }[/tex]

Where T is the tension on the maximum tension on the string

 So  

           [tex]T =  \sigma  *  A[/tex]

=>          [tex]T =  600*10^{6} *  7.855*10^{-7}[/tex]

=>         [tex]T = 471.3 \  N[/tex]

Form the equation above  we  see that

        [tex]T  \  \alpha \  A[/tex]

So if the tension is  increased to prevent breakage the thickness of the string is increased(i. e the cross-sectional  area )

String breakage when the racket hit the ball is as a result of the string not being thick enough to withstand the increase in tension

A wheel rotating about a fixed axis has a constant angular acceleration of 4.0 rad/s2. In a 4.0-s interval the wheel turns through an angle of 80 radians. Assuming the wheel started from rest, how long had it been in motion at the start of the 4.0-s interval?
a. 3 s.
b. 6 s.
c. 9 s.
d. 12 s.

Answers

Answer:

a. 3 s.

Explanation:

Given;

angular acceleration of the wheel, α = 4 rad/s²

time of wheel rotation, t = 4 s

angle of rotation, θ = 80 radians

Apply the kinematic equation below,

[tex]\theta = \omega_1 t \ + \ \frac{1}{2} \alpha t^2\\\\80 = 4\omega_1 + \frac{1}{2}*4*4^2\\\\80 = 4\omega_1 + 32\\\\ 4\omega_1 = 48\\\\ \omega_1 = \frac{48}{4}\\\\ \omega_1 = 12 \ rad/s[/tex]

Given initial angular velocity, ω₀ = 0

Apply the kinematic equation below;

[tex]\omega_1 = \omega_o + \alpha t_1\\\\12 = 0 + 4t\\\\4t = 12\\\\t = \frac{12}{4}\\\\t = 3 \ s[/tex]

Therefore, the wheel had been in motion for 3 seconds.

a. 3 s.

Draw the velocity vectors starting at the black dots and the acceleration vectors including those equal to zero. The orientation of the vectors will be graded. The location and length of the velocity vectors will be graded. The location and length of the nonzero acceleration vectors will not be graded. To draw a zero vector click at the point of its location.

Answers

Answer:

hello your question is incomplete attached below is the remaining part and the solution

Explanation:

The accelerations at points 1,2,3 is zero and this is because the velocities at points 1,2,3 are constants.  attached below is the velocity vector diagram and the acceleration vectors

what is the significant contribution of Heraclitus​

Answers

Explanation:

HERACLITUS ALSO SPELLED HERADEITUS, [ BORN C.540 bce, EPHESUS, ANATOLIA [ NOW SELCUK, TURKEY] - DIED C.486 ] GREEK PHILOSOPHER REMEMBERED FOR HIS COSMOLOGY, IN WHICH FIRE FORMS THE BASIC MATERIAL PRINCIPLE OF AN ORDERLY UNIVERSE . LITTLE IS KNOWN ABOUT HIS LIFE, AND THE ONE BOOK HE APPARENTLY WROTE IS LOST.

HOPE IT HELP.....❤❤

Which parenting style is thought to produce children who grow up to be emotionally withdrawn,

distant, and lacking in curiosity?

Answers

Answer:

Uninvolved (provide little guidance , nuturing and attention) that causes to grow up to be emotionally withdrawn, distant and lacking in curiosity.

Explanation:

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1 3 5 6 10 TIME REMAINIE 27:46 Study the map of the major rivers in Asia. Which river is marked with the letter C? O Yellow O Yangtze O Ganges 0 Mekong A B C D Mark this and return Save and Exit Ne A bicyclist makes a trip that consists of three parts, each in the same direction (due north) along a straight road. During the first part, she rides for 26.8 minutes at an average speed of 7.57 m/s. During the second part, she rides for 42.4 minutes at an average speed of 3.17 m/s. Finally, during the third part, she rides for 9.69 minutes at an average speed of 15.0 m/s. (a) How far has the bicyclist traveled during the entire trip Plz answer quickly 50 points Clare is 5 years older than her cousin.cousinHow old would Clare be if her cousin is:A. 10 years old?B. 2 years old?C. 2 years old?Clare is 12 years old. How old is Clare's cousin? Eight car dealerships reported the number of cars they sold last month. Car Dealership Number of Cars Sold GMC 84 Chevrolet 81 Nissan 92 Toyota 92 Ford 95 Honda 94 Hyundai 80 Acura 72 What is the interquartile range of this set of data? 5 7.5 12.5 23 The basis for designing an effective strategy for exporting begins with ________. What is the main purpose of a scientific investigationA. to form an opinionB. to test a hypothesisC.to persuade with biasD. To teach a lesson Solve the equation for m.mp + mz=r What would happen to the planet of the hydrologic cycle stopped functioning? Refer to the following distribution:Cost of Textbooks Frequency $25 up to $35 2 S35 up to $45 5$45 up to $55 7$55 up to $65 20 S65 up to $75 16What is the relative class frequency for the $25 up to $35 class? A) 0.10 B) 0.05 C) 0.02 D) 0.04 How many solutions does the following equation have ? -3x+9-2x=-12-5x3x+92x=125xminus, 3, x, plus, 9, minus, 2, x, equals, minus, 12, minus, 5, x Choose 1 answer: Choose 1 answer: (Choice A) A No solutions (Choice B) B Exactly one solution (Choice C) C Infinitely many solutions discuss why it is considered a right of all people to be in a healthy and safe environment(Australia) A stretched string is 2.11 m long and has a mass of 19.5 g. When the string oscillates at 440 Hz , which is the frequency of the standard A pitch, transverse waves with a wavelength of 15.3 cm travel along the string. Calculate the tension T in the string. On a recent road trip, Johnny was able to drive 360 miles on 12 gallons of gas. a. What is the average gas mileage for Johnnys car? How would shylock's attitude towards the merchant influence risk analysis? Which of the following statements is correct about the connection between cost centers and revenue? A) Cost centers do not directly generate revenue from customers, and they have no impact on the customer experience. B) Cost centers do not directly generate revenue from customers, but they may have an impact on revenue through customer satisfaction and overall quality. C) Cost centers are the primary driver of revenue from customers. D) Cost centers directly generate revenue from customers. Solve the problem 3d+8=2d-17 A baby gains 11 pounds in its first year of life. The baby gained 4 1/4 pounds during the first four months and 3 1/2 pounds in its second four months. how many pounds did the baby gain in the last four months? Simplify 4\2-root 2 + 5 \root 2-1 if a right cylinder have the same radius and height as the oblique cylinder shown here, what is the volume of the right cylinder? Use 3.14 for pi. Round to the nearest whole number.