Answer:
a
[tex]The \ price \ for \ Compact\ fluorescent\ bulbs \ is \ C_T = \$ 21.067\\The \ price \ for \ incandescent\ bulb \ is \ C_t = \$ 43.98[/tex]
b
[tex]The \ amount \ saved \ is \ C_S = \$ 22.913[/tex]
c
[tex]The \ resistance \ is \ R = 626.1 \Omega[/tex]
Explanation:
From the question we are told that
The power used by incandescent bulb [tex]P_r = 23.0 W[/tex]
The power used by Compact fluorescent bulb [tex]P_p = 100W[/tex]
The life span of Compact fluorescent bulb is [tex]t = 1000 \ hours[/tex]
The prices of Compact fluorescent bulb is [tex]C_c = \$ 12 [/tex]
The prices of incandescent bulb is [tex]C_i = \$ 0.76 [/tex]
The life span of incandescent bulb is [tex]t_k = 750 \ hours[/tex]
The cost of electricity is [tex]C_e = \$ 0.090/ kilowatt-hour = \frac{0.090}{1000} = \$0.00009 / W / h[/tex]
The duration of daily bulb usage is [tex]t_d = 4 \ hours[/tex]
Generally 3 years of bulb usage in hours is mathematically evaluated as
[tex]t_3 = 3 * 365 * t_d[/tex]
=> [tex]t_3 = 3 * 365 * 4[/tex]
=> [tex]t_3 = 4380 \ h [/tex]
Generally the cost to power a 23W bulb for the above duration is mathematically represented as
[tex]Z = 23 * t_3 * C_e[/tex]
=> [tex]Z = 23 * 4380 * 0.00009[/tex]
=> [tex]Z = \$ 9.0667[/tex]
The number of Compact fluorescent bulbs required to achieve this about of time is mathematically represented as
[tex]N = \frac{t_3}{ t}[/tex]
=> [tex]N = \frac{4380}{1000}[/tex]
=> [tex]N = 0.438 [/tex]
=> [tex]N \approx 1 [/tex]
The total cost of usage for the Compact fluorescent bulb is mathematically represented as
[tex]C_T = Z +C_c[/tex]
=> [tex]C_T = 9.0667 +12[/tex]
=> [tex]C_T = \$ 21.067 [/tex]
The number of incandescent bulbs required to achieve this about of time is mathematically represented as
[tex]M = \frac{t_3}{ t_k}[/tex]
=> [tex]M = \frac{4380}{750}[/tex]
=> [tex]M = 6 [/tex]
Generally the cost to power a 100W bulb for the above duration is mathematically represented as
[tex]Z = 100 * t_3 * C_e[/tex]
=> [tex]Z = 100 * 4380 * 0.00009[/tex]
=> [tex]Z = \$ 39.42[/tex]
The total cost of usage for the incandescent bulbs is mathematically represented as
[tex]C_t = C_e + [6 *C_i][/tex]
=> [tex]C_t = 39.42 + [0.76 * 6][/tex]
=> [tex]C_t = \$ 43.98[/tex]
Generally the total amount saved is mathematically represented as
[tex]C_S = C_t - C_T[/tex]
=> [tex]C_S = 43.98 - 21.067[/tex]
=> [tex]C_S = \$ 22.913[/tex]
Generally the resistance of the Compact fluorescent bulb is
[tex]R = \frac{V^2}{P}[/tex]
[tex]R = \frac{120^2}{23}[/tex]
[tex]R = 626.1 \Omega[/tex]
The Newton unit obtained from
A)Kg.m/s2
B) Kg. m
C) kg/m
D) kg ml
Answer:
Explanation:
The Newtons unit is kg. m/s2
Option A is the correct answer
2. An athlete runs up the stairs of a tall building in 10 s. If she has a mass of 55 KG and the total vertical distance she covers is 8.2 m, what is the average power (in W)developed by her legs?
Answer:
P = 37.0 W (watts)
Explanation:
Using the formula for power :
P = ( kg × m^2/s^2 ) W
given the mass 55kg, the time 10s, and the displacement 8.2m.
55 kg × 8.2^2 / 10^2
55kg × 67.24 / 100
3698.2/100
P = 36.982 ≈ 37.0 W (nearest tenth)
An airplane is flying at a velocity of 79 m/s eastward relative to the air. Due to a high-pressure region to the north, the velocity of the air relative to the ground is 18 m/s southward. Find the ground speed of the airplane.
After a wave passes through a medium, particles in the medium
are permanently displaced in a direction opposite to the direction of the wave
remain in the new location
are moved along with the wave
return to the original position
Answer:
D. Return to the original position
Explanation:
I took the test
A power cycle operating between hot and cold reservoirs at 500 K and 300 K, respectively, receives 1000 kJ by heat transfer from the hot reservoir. The magnitude of the energy discharged by heat transfer to the cold reservoir must satisfy
Answer:
The value is [tex]Q_l \ge 600\ k J[/tex]
Explanation:
From the question we are told that
The temperature of hot is [tex]T_h = 500 \ K[/tex]
The temperature of cold is [tex]T_c = 300 \ K[/tex]
The energy received is [tex]E = 1000 \ kJ = 1000 *10^{3 } \ J[/tex]
Generally the maximum thermal efficiency of the engine is mathematically represented as
[tex]\eta = \frac{T_h - T_c}{T_h}[/tex]
=> [tex]\eta = \frac{500 - 300}{500}[/tex]
=> [tex]\eta = 0.4[/tex]
Generally the thermal efficiency of the engine is
[tex]\eta_t = \frac{Q - Q_l}{Q}[/tex]
Here [tex]Q_l[/tex] is the heat energy rejected
Generally the thermal efficiency must be less than or equal to the maximum thermal efficiency
So
[tex]\frac{Q - Q_l}{Q} \le 0.4[/tex]
=> [tex]\frac{1000 *10^{3} - Q_l}{1000 *10^{3} } \le 0.4[/tex]
the change in inequality sign is because [tex]1000*10^{3}[/tex] which was dividing started multiplying
=> [tex]Q_l \ge 1000*10^{3} - 400*10^{-3}[/tex]
=> [tex]Q_l \ge 600*10^{3} \ J[/tex]
=> [tex]Q_l \ge 600\ k J[/tex]
The path of a projectile fired at an angle above the horizontal is best described as
A stone is thrown vertically upward with the velocity of 25 m/s. How long day
it take to reach the maximum height? Also calculate the height
Answer:
The stone takes 2.55 sec to reach a maximum height of 31.89 m
Explanation:
Vertical Motion
When an object is thrown vertically up with a speed vo, it loses speed because of the effect of the gravity and gains height until the speed is eventually zero. The height attained at that time is called maximum height, and can be calculated as follows:
[tex]\displaystyle h_m=\frac{v_o^2}{2g}[/tex]
Since vo=25 m/s
[tex]\displaystyle h_m=\frac{25^2}{2\cdot 9.8}=31.89\ m[/tex]
Also, the time taken to reach the maximum height is calculated by:
[tex]\displaystyle t_m=\frac{v_o}{g}[/tex]
[tex]\displaystyle t_m=\frac{25}{9.8}=2.55\ s[/tex]
The stone takes 2.55 sec to reach a maximum height of 31.89 m
When an atom gains or loses electrons, it has an electrical charge. It is known as
Answer:
ion
Explanation:
Atoms can gain or lose making them no longer neutral they become charged and it is called ion.
What is a factor in an experiment that can be changed or it can be kept the same?
Answer: If you are performing an experiment on the effect of spraying plants with different chemicals, you would try to maintain the same pressure and maybe the same volume when spraying your plants. The independent variable is the one factor that you are changing. It is one factor because usually in an experiment you try to change one thing at a time.
Explanation:
Which statement describes earthquakes?
They release energy
They are caused by reduced stress in rocks
They begin at the epicenter
The result for movement on earth’s surface
Answer:
they release energy
Explanation:
An earthquake is the abrupt release of energy from the earth's crust that causes the earth's surface to shake . Thus , seismic waves are produced. The kind and severity of an earthquake are based on the local seismic activity . therefore the correct answer is option A.
What is the equator?The Equator is an imaginary line passing through the middle of a globe. It is equidistant from the North Pole and the South Pole, Its is a horizontal line residing at 0 degrees latitude .
An earthquake is the abrupt release of energy from the earth's crust that causes the earth's surface to shake . Thus, seismic waves are produced. The kind and severity of an earthquake are based on the local seismic activity .
Thus, the correct answer is option A .
To learn more about the equator here , refer to the link given below ;
brainly.com/question/24203207
#SPJ6
What President is responsible for eliminating most vending machines from the cafeterias of public schools ?
Answer:president obama
Explanation:Why this is because he took a of mayor Bloomebergs amti obeity book and made new rules for snack foods.
An airplane flying at 119 m/s is accelerated uniformly at the rate of 0.5 m/s2 for 10
seconds. What is its final speed?
Answer:
124m/s
Explanation:
v=u+at
v=119+(0.5×10)
v=119+5
v=124m/s
Which atmospheric layer gets warmer as altitude increases and contains the ozone layer?
Answer:
stratosphere
Explanation:
In the stratosphere, temperature increases with altitude. The stratosphere contains the ozone layer, which protects the planet from the Sun's harmful UV radiation.
Stratosphere is the atmospheric layer which gets warmer as the altitude increases and contains the ozone layer.
What is Stratosphere?The stratosphere is a layer of the Earth's atmosphere. It is the second layer of the atmosphere as we go upward into the atmosphere height. The troposphere is the lowest layer of the globe, which is present right below the stratosphere. The next higher layer of the atmosphere above the stratosphere is the mesosphere.
In the stratosphere layer, the temperature increases with the increase in the altitude range. The stratosphere layer contains the ozone layer, which works in the protection of the planet from the Sun's harmful ultraviolet radiations which could lead to cancer.
Learn more about Stratosphere here:
https://brainly.com/question/13497783
#SPJ6
Tell which is the answer
help please
Answer: a constant? im not sure that just sounds like itd be right.
Explanation:
Answer:
b
Explanation:
because he isn't moving
Does time of flight depend on initial speed?
Your car is initially at rest when your hit that gas and the car begins to accelerate at a rate of 2.857 m/s/s. The acceleration lasts for 15.5 s. What is the final speed of the car and how much ground does it cover during this acceleration?
Answer:
Vf = 44.56 [m/s]
Explanation:
In order to solve this problem we must use the following expression of kinematics.
[tex]v_{f} = v_{i}+(a*t)[/tex]
where:
Vf = final velocity [m/s]
Vi = initial velocity = 0
a = acceleration = 2.857 [m/s^2]
t = time = 15.5 [s]
Note: the initial velocity is equal to zero as the car begins its movement from rest, or with an initial velocity equal to zero.
Vf = 0 + (2.875*15.5)
Vf = 44.56 [m/s]
The student toses a ball into the air and then watches the ball fall back down to earth. When does the ball have the most potential energy
Answer:
when the ball is at its highest in the air.
Explanation:
I don't know for sure, but when the ball is in the air it has potential energy to fall(or something like that).
What statements accurately describe sunspots? Check all that apply.
Sunspots are storms on the Sun's surface.
Sunspots are marked by intense magnetic activity.
Sunspots produce solar flares and hot gassy ejections.
Sunspots can affect Earth's climate.
Sunspots are cool areas where the Sun is covered by clouds.
Answer:
sunspots are storms on the Suns surface
Sunspots are marked by intense magnetic activity
Sunspots produce solar flares and hot gassy ejections.
Sunspots can affect Earth’s climate.
Explanation:
I just did this lesson
The statement that describe sunspot is Sunspots are storms on the Sun's surface.
What are sunspot?Sunspot are region of the earth that are more darker than other surfaces. They have temporary spots that are darker because the temperature of that area is cooler than other surfaces. They have a reduced temperature.
Therefore, The statement that describe sunspot is Sunspots are storms on the Sun's surface.
Learn more about sunspot below.
https://brainly.com/question/8102155
#SPJ2
What is the frequency (n, in Hz) of the photons emitted by a He-Ne laser with a wavelength (l) of 632.8 nm
Answer:
4.741 × 10¹⁴ Hz
Explanation:
Step 1: Given data
Wavelength of the He-Ne laser (l): 632.8 nmFrequency of the He-Ne laser (n): ?Speed of light (c): 3.000 × 10⁸ m/sStep 2: Convert "l" to meters
We will use the conversion factor 1 m = 10⁹ nm.
632.8 nm × (1 m / 10⁹ nm) = 6.328 × 10⁻⁷ m
Step 3: Calculate the frequency of the He-Ne laser
We will use the following expression.
c = l × n
n = c / l
n = (3.000 × 10⁸ m/s) / (6.328 × 10⁻⁷ m)
n = 4.741 × 10¹⁴ s⁻¹ = 4.741 × 10¹⁴ Hz
A car start from rest accelerate uniformly at rate of 2 m/sec2. Its velocity after 5 seconds will be:
Answer:
nononononononononononononnn
Explanation:
Answer:
Read below to understand
Explanation:
acceleration = change in velocity / change in time
(a = v/t)
You have acceleration and time given so you need to rearrange the equation to solve for velocity
V = a * t
V = 2 * 5
Velocity is 10 m/s
e. A driver speeds up his vehicle while moving up a hill.
Why?
Answer:
For more acceleration
Explanation:
If he is speeding u a hill his car needs more power ecsue its going upward so he will have to speeed to gain more acceleration so his car doesnt fall
QUESTION
The strongest Stars used to be called
what?
Answer:
Absolute magnitude
Explanation:
The brightness a star would have if it were at 10 pc from Earth is called Absolute magnitude.
According to the kinetic theory, what happens when the temperature of water
increases?
The water molecules increase their speed.
The water molecules do not change speed.
The water molecules decrease their speed.
What causes tides to occur in the ocean?
Waves
Wind
Gravitational pull
Coriolis effect
Answer:
Gravitational pull
Explanation:
The moon pulls the tides
Answer: gravitational pull
Tides are caused by a gravitational pull from the Moon. Ocean/bay tides rise because of this pull for the gravity under the water. This can happen every day up to 6 times.
Which could describe the properties of sedimentary rock?
PLASE HELP
DUE TODAY
Answer:
☝ Some of the properties of sedimentary rocks
The Plateau of Tibet is a dry place. Do you think the wide-leafed plant fossils found on the plateau could grow there today? Explain your answer.
No, I dont think that they could grow there now in this day and age becuase the Plateu of Tbiet is very dry and also a little bit dusty. They barely even have grass down there. Wide leaf plants susually grow somewhee like the rainforest where it is warm, sunny, and rainy but in a place like Tibet, I don't think that they would be able to survive there.
Answer:
No. The leaves are similar to those of plants found in lower elevations with plenty of rainfall, like the plants seen at the lower elevations of the Himalayas. Because the Plateau of Tibet has risen over time, it is not likely that these plants could live in these colder climates.
Explanation:
Sample answer from pluto
Homogeneous materials look the same throughout even though they contain
different materials.
A. True
B. False
SUBMIT
Answer:
true ig..
Explanation:
2. True or false?
Forensic entomology uses the study of insects to help criminal investigations.
Which best describes a difference between laser light and regular light?
Laser light is less concentrated.
Laser light has a beam that spreads out.
O Laser light is made of one specific color.
O Laser light pumps out light particles one at a time.
Answer: the correct answer should be B
Explanation:
The statement that, best describes a difference between laser light and regular light is laser light is made of one specific color.
What is laser light?A laser light is a light produced by a laser
Laser itself, is a device that emits light through a process of optical amplification based on the stimulated emission of electromagnetic radiation.
Difference between laser light and regular lightRegular light is non-directional and inconsistent, while laser light shows directional and highly consistent distribution.Regular light is a mixture of electromagnetic waves of different wavelengths while Laser light is monochrome (one colour).Thus, the statement that, best describes a difference between laser light and regular light is laser light is made of one specific color.
Learn more about laser light here: https://brainly.com/question/15594955
#SPJ2
Suppose that a Ferrari and a Porsche begin a race with a moving start, and each moves with constant speed. One lap of the track is 2 km. The Ferrari laps the Porsche after the Porsche has completed 9 laps. If the speed of the Ferrari had been 10 km/h less, the Porsche would have traveled 18 laps before being overtaken. What were the speeds of the two cars?
Answer:
Porsche = 180 kmph
Ferrari = 200 kmph
Explanation:
Given that
The distance of one lap = 2 km
The distance the Ferrari laps the Porsche = 9 laps
The distance the Ferrari will lap the Porsche with 10 km/h less speed = 18 laps
So we say let,
the speed of the Ferrari = S(f),
the speed of the Porsche = S(p), and
the time that lapse before two cars lapped = t
From the question, we're told that
(S(f) * t1) - (S(p) * t1) = 2 km, also
S(p) * t1 = 9 * 2 = 18 km
Referring back to the initial equation
(S(f) * t1) = 2 + (S(p) * t1)
(S(f) * t1) = 2 + 18 = 20 km
Going back to the question again, we're told that
(S(f) - 10) * t₂ - S(p) * t₂ = 2 km
S(p) * t₂ = 18 * 2 = 36 km
So that,
(S(f) - 10) * t₂ = 2 km + S(p) * t₂
(S(f) - 10) * t₂ = 2 + 36 km = 38 km
(S(f) - 10) * t₂ = 38 km
S(p) * t₂ (36 km) = 2 * S(p) * t₁ (18 km),
S(p) * t₂ = 2 * S(p) * t₁, collect like terms
t₂ = 2t₁
(S(f) - 10) * 2t₁ - S(p) * 2t₁ = 2 km
(S(f) - 10) * 2t₁ = 38 km
(S(f) - 10) * 2t₁ = 38 km
2t₁ * S(f) - 2t₁ * 10 = 38 km
S(f) * t₁ = 20 km,
2 * 20 km - 2t₁ * 10 = 38 km
2t₁ * 10 = 2 * 20 km - 38 km
2t₁ * 10 = 2 km
20t₁ = 2 km
t₁ = 2/20 = 0.1 hour = 6 minutes
This means that
S(p) * t₁ = 18 km
S(p) * 0.1 h = 18 km
S(p) = 18 km/0.1 h = 180 km/h
The speed of the Porsche = S = 180 km/h
S(f) * t₁ = 20 km
S(f) × 0.1 h = 20 km
S(f) = 20 km/0.1 h = 200 km/h
The speed of the Ferrari = S = 200 km/h