A construction crew is paving a road. The crew has already paved 1,000 square feet and can pave at a rate of 300 square feet of road per hour. The function f(x) = 300x 1,000 represents this situation. What is f(3), and what does it represent?.

Answers

Answer 1

f(3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.

Mathematical models are representations of real situations. Models often serve the purpose of prediction and can help to explain and simplify certain mathematical problems.

The model; f(x) = 300x + 1,000 represents the number of additional square feet that can be paved in an hour after 1,000 square feet has already been paved.

From the above we can see that the correct answer is; "900 square feet; f(3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount."

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Related Questions

3. A(n)______ is someone who travels to new places or does new things. A. explorer B. thrill C. expedition D. research

Answers

Answer:

explorer

Explanation:

Answer:

a) EXPLORER

Explanation:

An explorer is someone who travels to new places or does new things.

If the energy in a mechanical wave increases or decreases, what is also going to increase or decrease? A wavelength B amplitude с frequency d refraction​

Answers

Answer:

i think wave lengh not 100% sure tho

If the energy of the mechanical wave will increase or decrease, then the wavelength will also change accordingly. Hence, option A is correct.

What is Wavelength?

The distance between two identical locations (adjacent crests) in successive cycles is known as the wavelength, and it is used to describe waveform signals that are transmitted over wires or into space. Typically, in wireless systems, this length is specified in meters (m), centimeters (cm), or millimeters (mm). The wavelength is more frequently described in nanometers (nm), which are units of 10⁻⁹ m, or angstroms, which are units of 10⁻¹⁰ m, for infrared (IR), visible light (UV), and gamma radiation.

Frequency, which is defined as the number of wave cycles per second, and wavelength have an inverse relationship. The wavelength of a signal decreases with increasing frequency, or we can say that wavelength and refractive index are inversely proportional to each other.

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A cat that has a mass of 6 kg climbs to the top of a tree that is 20 m high. How much potential energy does the cat have at the top of the tree?

Have a great day!

Answers

Answer:

1176.798 J

Explanation:

[] Use the following equation:

U = mgh

m - mass

g - gravitational field

h - height

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

what led scientists to the discovery of the strong nuclear force?

Answers

Answer:

Explanation:

The concept of a new strong nuclear force was introduced. In 1935, the first theory for this new force was developed by the Japanese physicist Hideki Yukawa, who suggested that the nucleons would exchange particles between each other and this mechanism would create the force.

What is the net force on a car with a mass of 1000 kg if its
acceleration is 35 m/s^2?

Answers

Answer:

3000N

Explanation:

divided to get answer

the force needed to accelerate the 1000kg car by 3m/s2 is 3000N

45. 3. (III) A 7.26 kg bowling ball hangs from the end of a 2.5 m rope. The ball is pulled back until the rope makes an angle of 45 with the vertical. a. What is the increase in the ball’s potential energy when it is lifted? b. If the ball is released from rest and swings downward like a pendulum, how much kinetic energy will the ball have at the bottom of its swing? c. How fast will the ball be moving at the bottom of its swing?

Answers

Explanation:

For the first question look at the picture. It should be pretty clear. Remember that cos45° = sqrt2 / 2.

2) We calculate it thanks to the conservation of mechanical energy:

Em1 = Em2

U1 + K1 = U2 + K2

K1 = 0J

U2 = 0j

U1 = K2

3) mgh = 1/2mv^2

v = sqrt(2gh)

find u + (3v - w)
u =-4i-8j
v= -11i -3j
w=5i+7j

Answers

Answer:

gunrun

Explanation:

In which of these states is the age of consent 18 years old?
WA
16
MT
16
ME
16
OR
18
MA16
ID
18
WY
18
NV
16
RI 16
CT 16
NJ 16
DE 18
MD 16
UT
18
CA
18
16 W
NH
ND
VT 16
18
MN
16
SD
16
WI
NY
16
18
MI
17
16
NE
IA
PA
17
16
OH 16
IL IN
17 16
KS
MO
16
16 17 KY 16
18
NC
OK
TN 18
16
AR
SC
16
AL
16
MS
GA
16
LA
16
TX
16
17
17
FL
18
СО
17
16
AZ
18
NM
17
HI
16
AK
16
Age 16
Age 17
Age 18
A. North Carolina
B. Florida

Answers

Answer:

all the ones that say

Explanation:

18.....

North Carolina is one of the states is the age of consent 18 years old. Hence option A is correct.

What is states ?

A state is a type of centralised political entity that establishes and upholds laws over a population within a given region. A state's definition is open to debate. Although alternative definitions are widespread, the German sociologist Max Weber's is the most generally used: a "state" is a polity that retains a monopoly on the legal use of violence. Statelessness societies like the Haudenosaunee Confederacy, which "do not have either purely or even primarily political institutions or roles," are examples of societies in which the lack of a state does not prohibit the existence of a community. A state's degree of governance, which is used to assess its success or failure, is thought of as the core component of modern states.

Hence option A is correct.

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A billiard ball with a speed of 5 m/s strikes another stationary billiard ball in a perfectly elastic collision.

After the collision, the first ball has a speed of 4.35 m/s and is traveling at an angle of 30° below its original line of motion.

Find the speed and angle of the second ball, with respect to the initial line of motion, after the collision.

Answers

Assuming both billiard balls have the same mass, conservation of momentum says

[tex]m\vec v_1 + m\vec v_2 = m{\vec v_1}\,' + m{\vec v_2}\,'[/tex]

where m = mass of both billiard balls, and v₁ and v₂ = their initial velocities, and v₁' and v₂' = their final velocities. The masses are the same so the exact value of m is irrelevant. The first ball has initial speed 5 m/s and the second is at rest, so

[tex]\left(5 \dfrac{\rm m}{\rm s}\right) \, \vec\imath = {\vec v_1}\,' + {\vec v_2}\,'[/tex]

After the collision, the first ball has speed 4.35 m/s and is moving at angle of 30° below the original path, so

[tex]{\vec v_1}\,' = \left(4.35\dfrac{\rm m}{\rm s}\right)\left(\cos(30^\circ) \, \vec\imath + \sin(30^\circ) \, \vec\jmath\right) \approx \left(3.77 \dfrac{\rm m}{\rm s}\right) \vec\imath + \left(-2.18 \dfrac{\rm m}{\rm s}\right) \vec\jmath[/tex]

Then the second ball has final velocity vector

[tex]{\vec v_2}\,' \approx \left(1.23 \dfrac{\rm m}{\rm s}\right) \vec\imath + \left(2.18 \dfrac{\rm m}{\rm s}\right) \vec\jmath[/tex]

so it moves with speed

[tex]\left\|{\vec v_2}\,'\right\| \approx \sqrt{\left(1.23\dfrac{\rm m}{\rm s}\right)^2 + \left(2.18\dfrac{\rm m}{\rm s}\right)^2} \approx \boxed{2.50 \dfrac{\rm m}{\rm s}}[/tex]

at an angle of

[tex]\theta \approx \tan^{-1}\left(\dfrac{2.18}{1.23}\right) \approx \boxed{60.5^\circ}[/tex]

or about 60.5° above the original line of motion.

What is the half-life of an isotope if after 30 days you have 31.25 g remaining from a 250 g beginning sample size?

Answers

The half-life of the given isotope will be 10 days, if after 30 days only 31.25 grams are remaining from a sample of 250 grams of the sample size taken in the beginning.

What is Half-life of an element?

The Half-life is the time which is required for a quantity to reduce the content to half of the amount present as its initial value. The term is used in nuclear physics to describe how quickly an unstable atom undergo radioactive decay or how long does stable atoms survive. The term is also used generally to characterize any type of exponential decay.

The half-life of the isotope can be calculated by the formula:

FR = 0.5n

FR = Fraction Remaining = 31.25 g / 250.0 g = 0.1250

n = number of half lives elapsed = ?

0.125 = 0.5n

log 0.125 = n log 0.5

-0.9031 = -0.3010 n

n = 3.000 half lives have elapsed

3 half lives = 30 days

1 half live = 10 days

Therefore, the half-life of the isotope will be 10 days.

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What happens to the gravity force if the mass of the planet is increased?

Answers

Answer:

The more mass an object has, the greater its gravitational field and gravity force will be.

Explanation:

gravity force = mass × gravitational field strength (g)

The more mass, the more g-force.

Can someone help me with this physics question? I don't know which answer is correct.

Answers

3. Distance is a quantity that is always a vector.

B.

a boulder sitting on a 45 m tall cliff has a potential energy of 7,100 J. the acceleration due to gravity is 9.8 m/s^2. what is the mass of the boulder

Answers

The mass of the boulder is equal to 16.10 kilograms.

Given the following data:

Height of cliff = 45 mPotential energy = 7,100 JoulesAcceleration due to gravity = 9.8 [tex]m/s^2[/tex]

To determine the mass of the boulder:

Mathematically, potential energy (P.E) is calculated by using the following formula:

[tex]P.E = mgh[/tex]

Where:

m is the mass of object. g is the acceleration due to gravity. h is the height of an object.

Making m the subject of formula, we have:

[tex]m = \frac{P.E}{gh}[/tex]

Substituting the given parameters into the formula, we have;

[tex]m=\frac{7100}{9.8 \times 45} \\\\m=\frac{7100}{441}[/tex]

Mass, m = 16.10 kg

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Depth perception is also known as ___________ vision.

Answers

Answer:

depth from optical expansion

Explanation:

If a car can go from 0 to 60 km/h in 8.0 seconds, what would be its final speed after 5.0 seconds if its starting speed were 50 km/h?

Answers

Answer:

This question assumes that the car accelerates at the same rate as when it went from 0 to 60km/h

24.29m/s or 87.4km/h

Explanation:

Let's find the acceleration of the car:

let vi=0, vf=60km/h (16.67m/s), Δt = 8.0s

a = (vf-vi)/Δt

a = (16.67m/s-0)/8.0

a = 2.08m/s^2

Now we can use this acceleration to find vf in the second part:

50km/h is 13.89m/s

a = (vf-vi)Δt

vf = aΔt + vi

vf = 2.08m/s^2*5.0+13.89m/s

vf = 24.29m/s (87.4km/h)

is atom on the offficial repository of ubuntu ?

Answers

Answer:

Atom, the cross-platform, open source code editor developed by Github, has become quite popular thanks to its plug-ins and embedded Git Control. ... There are, however, official Atom repositories for some Linux distributions, like Ubuntu, Debian, Fedora, Red Hat, CentOS, and open.

A 50 kg pitcher throws a baseball with a mass of 0. 15 kg. If the ball is thrown with a positive velocity of 35 m/s and there is no net force on the system, what is the velocity of the pitcher? â’0. 1 m/s â’0. 2 m/s â’0. 7 m/s â’1. 4 m/s.

Answers

The velocity of the pitcher at the given mass is 0.1 m/s.

The given parameters:

Mass of the pitcher, m₁ = 50 kgMass of the baseball, m₂ = 0.15 kgVelocity of the ball, u₂ = 35 m/s

Let the velocity of the pitcher = u₁

Apply the principle of conservation of linear momentum to determine the velocity of the pitcher as shown below;

m₁u₁ = m₂u₂

[tex]u_1 = \frac{m_2 u_2}{m_1} \\\\u_1 = \frac{0.15 \times 35}{50} \\\\u_1 = 0.105 \ m/s\\\\u_1 \approx 0.1 \ m/s[/tex]

Thus, the velocity of the pitcher at the given mass is 0.1 m/s.

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please help me with this​

Answers

Answer:

>400N is needed to balance that lever

60W of power is taken by a small electrical heater from a 12V supply Determine the current flowing through the heater​

Answers

Answer:

5 amps

Explanation:

I = P/V

I = current (amps)

P = power (watts)

V = voltage (volts)

I = 60/12

I = 5

What is the momentum of a 5 kg object that has a velocity of 1. 2 m/s? 3. 8 kg • m/s 4. 2 kg • m/s 6. 0 kg • m/s 6. 2 kg • m/s.

Answers

Answer:

6 kg.m/s

Explanation:

Momentum is the product of mass and velocity. So,

p = mv

Here,

p denotes momentum [?]m denotes mass [5kg]v denotes velocity [1.2 m/s]

→ p = 5 kg × 1.2 m/s

→ p = (5 × 1.2) kg.m/s

→ p = (5 × 12/10) kg.m/s

→ p = 12/2 kg.m/s

p = 6 kg.m/s

Therefore, momentum of the object is 6 kg.m/s.

The momentum of a 5kg object that has a velocity of 1.2m/s is 6.0kgm/s.

MOMENTUM:

Momentum of a substance is the product of its mass and velocity. That is;

Momentum (p) = mass (m) × velocity (v)

According to this question, an object has a mass of 5kg and velocity of 1.2m/s. The momentum is calculated thus:

Momentum = 5kg × 1.2m/s

Momentum = 6kgm/s.

Therefore, the momentum of a 5kg object that has a velocity of 1.2m/s is 6.0kgm/s.

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The slope of position-time graph represents

Answers

Answer:

The speed.

Explanation:

The slope of a line is that line's rate of change.  If a car is travelling at 20 km/hr and we plot distance vs time graph, the slope of that line will be 20.

What event will produce the greatest increase in the gravitational force between the two masses?

Question 5 options:

Doubling the distance between the masses


Reducing the small mass by half


Doubling the large mass


Reducing the distance between the masses by half

Answers

Answer:

Doubling the large mass

Explanation:

By doubling the mass you will get more gravational force

What ions are produced from acids and bases?

Answers

Answer:

Give person above me brainliest

Explanation:

ignoring air resistance, an object falling toward the surface of the earth has a velocity that is

Answers

your answer would be 9.18 m/s^2

29) A cheetah can accelerate from rest to 25
m/s in 6 s. Assuming that the cheetah moves
with constant acceleration, what distance does
it cover in the first 3 s

Answers

Answer:

[tex]\huge\boxed{\sf S = 18.75 \ meters}[/tex]

Explanation:

Given Data:

Initial Velocity = Vi = 0 m/s (rest)

Final Velocity for 6 seconds = Vf = 25 m/s

Time (1) = T1 = 6 seconds

Time (2) = T2 = 3 seconds

Required:

Distance for 3 seconds = S = ?

Solution:

For 6 seconds, the acceleration will be:

[tex]\displaystyle a = \frac{Vf-Vi}{t} \\\\a = \frac{25 - 0}{6} \\\\a = 25 / 6\\\\\boxed{a = 4.167 \ m/s^2}[/tex]

Since, acceleration is constant, it will be the same at 3 seconds as well.

Using second equation of motion to find Distance (S) with time being 3 seconds:

[tex]\displaystyle S= Vit+\frac{1}{2} at^2\\\\S = (0)(3)+ \frac{1}{2} (4.167)(3)^2\\\\S = \frac{1}{2} (4.167)(9)\\\\S = \frac{37.5}{2} \\\\\boxed{S = 18.75 \ meters}\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Which electromagnetic wave has a lowest frequency?
Group of answer choices

A) x-rays

B) ultraviolet light

C) microwaves

D) infrared light

E) visible light

Answers

I think that the answer would be A

Answer:

E.visible lights

Explanation:

llll

hope its attachments

If a rock weighing 3.5 newtons is resting on cliff's ledge 12 meters from the canyon floor, what is its potential energy?

Group of answer choices

87 joules

4.5 joules

42 joules

142 joules

Answers

Answer:

42 Joules

Explanation:

Potential energy

= weight × height

= (3.5)(12)

= 42 joules

One ball of mass 0.600kg travelling 9.00m/s to the right collides head on elastically with a second ball of mass 0.300kg travelling 8.00m/s to the left.what are their velocities after collisions?

Answers

Let m₁ and v₁ denote the mass and initial velocity of the first ball, and m₂ and v₂ the same quantities for the second ball. Momentum is conserved throughout the collision, so

m₁ v₁ + m₂ v₂ = m₁ v₁' + m₂ v₂'

where v₁' and v₂' are the balls' respective velocities after the collision.

Kinetic energy is also conserved, so

1/2 m₁ v₁² + 1/2 m₂ v₂² = 1/2 m₁ (v₁')² + 1/2 m₂ (v₂')²

or

m₁ v₁² + m₂ v₂² = m₁ (v₁')² + m₂ (v₂')²

From the momentum equation, we have

(0.600 kg) (9.00 m/s) + (0.300 kg) (-8.00 m/s) = (0.600 kg) v₁' + (0.300 kg) v₂'

which simplifies to

10.0 m/s = 2 v₁' + v₂'

so that

v₂' = 10.0 m/s - 2 v₁'

From the energy equation, we have

(0.600 kg) (9.00 m/s)² + (0.300 kg) (-8.00 m/s)² = (0.600 kg) (v₁')² + (0.300 kg) (v₂')²

which simplifies to

67.8 J = (0.600 kg) (v₁')² + (0.300 kg) (v₂')²

or

226 m²/s² = 2 (v₁')² + (v₂')²

Substituting v₂' yields

226 m²/s² = 2 (v₁')² + (10.0 m/s - 2 v₁')²

which simplifies to

3 (v₁')² - (20.0 m/s) v₁' - 63.0 m²/s² = 0

Solving for v₁' using the quadratic formula gives two solutions,

v₁' ≈ -2.33 m/s   or   v₁' = 9.00 m/s

but the second solution corresponds to the initial conditions, so we omit that one.

Then the second ball has velocity

v₂' = 10.0 m/s - 2 (-2.33 m/s)

v₂' ≈ 14.7 m/s

A geothermal plant has been built in a location. Which of these is the most likely benefit of the geothermal plant in this location?

A. Decrease in geothermal fuels consumption
B. Improvement to hot springs and geysers
C. Long-term cost savings for energy users
D. Increase in emission of greenhouse gases

Answers

Answer:

C

Explanation:

A and B are not true and D is a disadvantage

Answer:

C.  Long-term cost savings for energy users.

Explanation:

C is correct because the first option is a drawback that is unlikely.  B is a good answer but not the best.  It's a likely benefit, but C is a more likely benefit.  D is a drawback.  C is correct.  I also got this right on my quiz.

Hope this helps!

what is a joule in physics?​

Answers

Explanation:

Joule is unit of work or energy in the International System of Units (SI)

[tex] \large \mathfrak {Formula}[/tex]

work (joules) = force (newtons) x distance (meters)

[tex] \large\mathfrak{Invented \: by} [/tex]

James Prescott Joule

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6x = 7xy + 20y where x 0 and y 0 Find the ratio x : y in the figure given alongside if X=3y find the sizes of angles represented by a and b 5.20763 to three significant figures a uniform thin rod of length l and mass m is allowed to rotate on a frictionless pin passing through one end. The rod is released from rest in the horizontal position. a.) What is the speed of the center of gravity when the rod reaches its lowest position? b.) What is the tangential speed of the lowest point of the rod when the rod reaches its lowest position? (5z+5)+(7z+4) what is this confused ? HOLA necesito ayuda... como puedo combertir 50% en fraccion y decimal. Y como combertir 25% en fraccion y decimal A woman is sexually harassed by a top-level senior executive in a large company. She sues the company, and during settlement discussions she is offered an extremely large monetary settlement. In the agreement, the woman is required to confirm that the executive did nothing wrong, and after the agreement is signed the woman is prohibited from discussing anything about the incident publicly. Before the date scheduled to sign the settlement agreement, the woman's lawyer mentions that she has heard the executive has done this before, and the settlement amount is very large because the company probably had a legal obligation to dismiss the executive previously. The company however wants to keep the executive because he is a big money maker for the company.What are the issues of integrity, ethics and law posed in the case study? What options does the woman have, and what should she do and why? What would the world be like without books? Explain why the square root of a number is defined to be equal to that number to the 1/2 power what is the equation of the line that passes through the point (0, -2) with a slope of 2 Which political party had a better ideology for the new nation? PLEAS HELLPPPPPP What is the difference between primary and contingent beneficiary? Factorise: tana(sina-cosa)+cota(cosa-sina) Desperate, please hurry Why is Columbine important? Katie works as a waitress and records her monthly tips in the table shown below. If Katie decided not to work the month of November, how would her five month average compare to her six month average for monthly tips? June July August Septemper October November $133. 45 $235. 31 $239. 45 $258. 87 $298. 45 $115. 67 a. Her monthly average would have decreased by $19. 57. B. Her monthly average would have increased by $19. 57. C. Her monthly average would have increased by $2. 7. D. Her monthly average would have decreased by $2. 7. Please select the best answer from the choices provided A B C D. Identify the types of motion:- the movement of the snail on the ground the strings of the guitar the whirling of stone tied with a thread Potassium is a silvery-white, solid metal. Chlorine is a greenish-yellow gas. When these two elements react chemically, they yield potassium chloride which is an odorless salt with a crystal structure. Potassium chloride is used in the production of fertilizer. Required:Which part of atomic structure is responsible for the reactivity of atoms? The body mass index, I, can be used to determine an individual's risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by700Wthe formula, or model, I=where W= weight, in pounds, and H = height, in inches. Jerome is 70 inches tall. What weights will keep his body mass indexH2between 20 and 28? The term ethics is best defined as_ PLS ANSWER!! Can someone just answer the highlighted question