Estimate the amount of gasoline that will be consumed in cars in the U.S. in the next thirty years. Assume that the total population of the U.S. is 350 millions and one of two people will drive an average distance of forty miles per day and the average mileage of the cars is 25 mpg.

Answer:

1.heading

2.photo

3.boldface text

4.caption

5.bulleted list

Explanation:

you welcome

Answer:

Explanation:

Sure, I'd be happy to help you with the question!

Let's denote the input as x. According to the function machine, the input is multiplied by 6 and then 80 is subtracted from the result to obtain the output.

So, the function can be written as:

Output = (6 * x) - 80

Now, the problem states that the input is the same as the output. Therefore, we can set up the equation:

x = (6 * x) - 80

Let's solve this equation to find the value of x:

x = 6x - 80

Subtracting 6x from both sides, we get:

x - 6x = -80

Combining like terms, we have:

-5x = -80

Dividing both sides by -5, we find:

x = (-80) / (-5)

Simplifying the expression, we have:

x = 16

Therefore, the input (x) that results in the input being the same as the output is 16.

To work out these types of questions, it's important to carefully read the instructions and understand the operations being performed in the function machine. Then, you can set up an equation with the input and output, and solve for the unknown value. Always double-check your solution to ensure it satisfies the given conditions of the problem.

Answer:

16

Explanation:

(x*6) - 80 = x

Multiply the parentheses

6x - 80 = x
Add 80 to each side to get
6x = x + 80
Subtract x from both sides to get
5x = 80
Divide both sides by 5
x = 16

Explanation:

The mechanical energy can be expressed as kinetic and potential energy, given by the equation;

ME=KE+PE

but since the car isn't elevated off the ground nor is it subjected to the restoring force of a spring, we can then say PE=0

ME=KE

The equation of KE=0.5mv²

ME=0.5mv²

32 000=0.5(1600)v²

\(v {}^{2} = \frac{32 \: 000}{1600 \times 0.5} \)

\(v {}^{2} = \frac{32 \: 000}{800} \)

\( {v}^{2} = 40\)

\(v = \sqrt{40} = 6.324\)

v=6.324 m/s :)

Videos can be streamed from the cloud to a computer with no loss in quality because Digital signals are used to transmit data to and from the cloud.

How do digital signals work?

An established or one that represents data as a step made up of discrete values is known as a digital signal. There is no noise produced by digital signals. Electronic signals sent as pulses are used to transmit digital signals to computers. These signals can be found in things like digital phones and computers.

Because digital signals are used to transport data to and from the cloud, it should be noted that videos are said to stream from the cloud to a computer without quality degradation.

Videos can be streamed from the cloud to a computer with no loss in quality because Digital signals are used to transmit data to and from the cloud.

To know more about Digital signals, check out:

https://brainly.com/question/28160561

#SPJ1

Answer:

1 ohm

Explanation:

First of all, the equivalent resistance for two resistors (r₁ and r₂) in parallel is given by:

1 / Eq = (1 / r₁) + (1 / r₂)

The equivalent resistance for resistance for two resistors (r₁ and r₂) in series is given by:

Eq = r₁ + r₂

Hence as we can see from the circuit diagram, 2Ω // 2Ω, and 2Ω // 2Ω, hence:

1/E₁ = 1/2 + 1/2

1/E₁ = 1

E₁ = 1Ω

1/E₂ = 1/2 + 1/2

1/E₂ = 1

E₂ = 1Ω

This then leads to E₁ being in series with E₂, hence the equivalent resistance (E₃) of E₁ and E₂ is:

E₃ = E₁ + E₂ = 1 + 1 = 2Ω

The equivalent resistance (Eq) across AB is the parallel combination of E₃ and the 2Ω resistor, therefore:

1/Eq = 1/E₃ + 1/2

1/Eq = 1/2 + 1/2

1/Eq = 1

Eq = 1Ω

Answer:

About 5 tons (4.96)

The power at which the crane operates, if it can lift a mass of 500 kg is 1225 Watts.

Power is the rate at which work is done.

To calculate the power the crane operates with, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the right option is B. 1225 Watts.

Learn more about power here: https://brainly.com/question/25864308

#SPJ1

Answer:

  B.  Landscape B

Explanation:

Shale is fine sediment pressed together to form rock.

Sandstone is larger (sand-grain-sized) sediment cemented together to form rock.

Shale erodes faster, as evidenced by the second attachment. That attachment shows erosion of a rock face consisting of interbedded shale and sandstone. The shale has receded significantly, leaving the sandstone layers with space between them.

Let's call the speed of the current "c". Then, the speed of the boat relative to the water when it is going upstream is 24 - c mph, and the speed of the boat relative to the water when it is going downstream is 24 + c mph.

Using the time it takes to travel the given distances, we can set up the following equation:

(54) / (24 - c) = (90) / (24 + c)

Expanding and solving for c, we find that:

c = 4 mph

So the speed of the current is 4 mph.

Answer: Upstream: 24 - 6 = 18  --->   54 = 18 x?  --->  ? = 54/18 = 3 hours

   (24 - 6)x 3 = 18 x 3 = 54 miles

   (24 + 6) x 3 = 30 x 3 = 90 miles

The speed of the current is 6 mph.

Time is 3 hours

Answer:

Newton's third law states that for every action (force) in nature there is an equal and opposite reaction. In other words, if object A exerts a force on object B, then object B also exerts an equal and opposite force on object A. Notice that the forces are exerted on different objects. However much you push your fork in the food, that much a dent it will cause.

Explanation:

Answer:

¡I hope it helps you! :) .................

Answer:

287.46 billion km. (kilometers)

Answer:

very Very very Very Very very very Very very very large.

Explanation:

where is the questions you are asking

On Earth, air typically prevents engine exhaust gases from leaving the engine. Thus, the thrust is lessened. However, to the lack of atmosphere in space, the exhaust gases may leave the engine considerably.

Rocket engines use combustion to operate, just like engines on Earth. Since oxygen is required for all types of combustion, liquid oxygen or another oxidizer is carried by rockets into space. Thus, unlike an automobile engine, they are not dependent on the ambient air.

The Space Station also uses water, which is composed of hydrogen and oxygen atoms bound together, to sustain its oxygen supply. Astronauts and cosmonauts can separate oxygen from hydrogen by electrolyzing water, a procedure that includes passing electricity through water.

To know more about engine visit:

https://brainly.com/question/10736767

#SPJ1

Explanation:

C. meter per second squared

B. meter per second

A. meter

Answer:

b. meters per second

c.meters per second squared

c.meters

Explanation:

ginawa ko na rin KC toh

Answer:

True

Explanation:

From order of the colors from longer to smaller wavelength is:

Red, orange, yellow, green, blue, and violet.

Therefore, red light has longer waves than blue light. So, the statement is true.

Answer:

20

Explanation:

R= resistance  P = resistivity  

L = length  A = area

0.8 = 1cm/A

R = J l/A       => 0.8* 50*A/A

                   => 0.8 * 25

                   => 20

Answer:

Resistance is directly proportional to length, inversely proportional to cross-sectional area. Pay attention in class, and observe that even easy multiple choice questions can have only wrong answers if the setter makes a mistake.

The cart comes to rest from 1.3 m/s in a matter of 0.30 s, so it undergoes an acceleration a of

a = (0 - 1.3 m/s) / (0.30 s)

a ≈ -4.33 m/s²

This acceleration is applied by a force of -65 N, i.e. a force of 65 N that opposes the cart's motion downhill. So the cart has a mass m such that

-65 N = m (-4.33 m/s²)

m = 15 kg

Answer:

The first and the last answer

Answer:

To find the net charge on the sphere using electric flux, we can use the formula:  

Φ = Q/ε0

Where Φ is the electric flux, Q is the charge, and ε0 is the permittivity of free space.  

Given that the electric field 20 cm from the center of the sphere is N/C and points radially inwards, we can use the formula for electric field due to a charged sphere to find the charge on the sphere:

E = kQ/r^2  

Where E is the electric field, k is Coulomb's constant, Q is the charge, and r is the distance from the center of the sphere.  

Substituting the given values, we get:  

20 = (1/4πε0)(Q)/(0.2)^2  

Solving for Q, we get:  

Q = (20)(0.2)^2(4πε0)  

Q = 0.64πε0 C  

Now, substituting this value of Q in the formula for electric flux, we get:  Φ = Q/ε0 = (0.64πε0)/(ε0) = 0.64π C  

Therefore, the net charge on the sphere is 0.64π C.

Answer:

We can use the formula for the period of a pendulum:

T = (2 * pi * sqrt(L/g))

where:

T = period (in seconds)

pi = 3.14159...

L = length of the pendulum (in meters)

g = acceleration due to gravity (9.81 m/s^2)

We can solve for L by rearranging the formula:

L = (T^2 * g) / (4 * pi^2)

We are given that the pendulum swings 20 times in 25 seconds. The period of one swing is the time it takes to complete one full cycle, so the period of 20 swings is 25 seconds divided by 20 swings, or 1.25 seconds.

Using this value for T and plugging in g, we get:

L = (1.25^2 * 9.81) / (4 * 3.14159^2)

L ≈ 0.153 meters or 15.3 centimeters

Therefore, the length of the pendulum is approximately 15.3 centimeters.

a. Total energy is 0.098 J

b. Potential and Kinetic Energies is 0.032 sin^2(8.08t) J

c. Velocity at x is -0.808 sin(8.08t) m/s

d. Potential and Kinetic Energies at x is 0.016 sin^2(8.08t) J

We can use the following formulas for the energy, velocity, and potential and kinetic energies of a simple harmonic oscillator:

where ω = √(k/m) is the angular frequency.

Given that k = 19.6 N/m, A = 0.100 m, x = -(0.100 m) cos 8.08t, and v = (0.808 m/s) sin 8.08t, we can find the values of E, U, and K as follows:

(a) Total Energy:

E = 1/2 k A^2 = 1/2 * 19.6 * 0.1^2 = 0.098 J

(b) Potential and Kinetic Energies:

U = 1/2 k x^2 = 1/2 * 19.6 * (-0.1 cos(8.08t))^2 = 0.098 cos^2(8.08t) J

K = 1/2 m v^2 = 1/2 * (0.1) * (0.808 sin(8.08t))^2 = 0.032 sin^2(8.08t) J

(c) Velocity at x = 0.050 m:

When x = 0.050 m, cos(8.08t) = -0.5, so we have:

v = -ωA sin(ωt) = -ω(0.1) sin(8.08t) = -0.808 sin(8.08t) m/s

(d) Potential and Kinetic Energies at x = A/2:

When x = A/2 = 0.050 m, cos(8.08t) = -0.5, so we have:

U = 1/2 k x^2 = 1/2 * 19.6 * (0.050)^2 = 0.0245 J

K = 1/2 m v^2 = 1/2 * (0.1) * (0.808 sin(8.08t))^2 = 0.016 sin^2(8.08t) J

Note that the sum of potential and kinetic energies at any point in time is equal to the total energy, which is constant.

Learn more on harmonic oscillators here https://brainly.com/question/27237546

#SPJ1

The car is moving at approximately 12.5 meters per second.

The kinetic energy (KE) of an object can be calculated using the formula:

KE = 1/2 * m * \(v^2\)

where

KE = kinetic energy,

m =Mass of the object, and

v = velocity.

In this case, we are given the mass (m) of the car as 1600 kg and the kinetic energy (KE) as 125,000 J. To find the velocity .

Substituting the  values , we have:

125,000 J = 1/2 * 1600 kg *\(v^2\)

Now, we can solve for v by rearranging the equation:

\(v^2\) = (2 * 125,000 J) / 1600 kg

\(v^2\) = 156.25 \(m^2/s^2\)

Taking the square root, we find:

v = √156.25\(m^2/s^2\)

v ≈ 12.5 m/s

Therefore, the car is moving at approximately 12.5 meters per second.

Know more about   kinetic energy  here:

https://brainly.com/question/8101588

#SPJ8

Luka Doncic will score the 3 points if he throws a ball from a 3-point line distance (6.75 m) and if the basket is at height of 3.05 m.

Resolving u into its vertical and horizontal components

ux = u cos θ

ux = 8.3 cos 45°

ux = 5.9 m / s

uy = u sin θ

uy = 8.3 sin 45°

uy = 5.9 m / s

H = 3.05 - 2.8

H = 0.25 m

T = uy + √ uy² - 2 g H / g

T = 5.9 + √ 5.9² - ( 2 * 9.8 * 0.25 ) / 9.8

T = 5.9 + √ 34.81 - 4.9 / 9.8

T = 5.9 + 5.47 / 9.8

T = 11.37 / 9.8

T = 1.16 s

R = ux T

R = 5.9 * 1.16

R = 6.8 m

Distance of three point line from the basket = 6.75 m = 6.8 m = R

Therefore, Luka Doncic will score the 3 points

To know more about projectile motion

https://brainly.com/question/11049671

#SPJ9

Answer:

Explanation:

a = gsinθ = 9.8sin30 = 4.9 m/s²

Answer:

2.93 m  (which agrees with answer "C" on the list)

Explanation:

Recall that the speed of the wave equals the product of the wave's length times its frequency. Therefore, the wavelength is going to be the quotient of the speed of the signal divided its frequency:

Wavelength = 2.997  10^8 / 1.023  10^8 =  2.93 m

Answer:

It should be Mass, Gravity and Height

Explanation:

The wave function of the resultant wave, Y1 + Y2 is Y = 4.95sin[π(3.80x - 1180t - 0.206)].

The wave function Y1 describes a sinusoidal wave with an amplitude of 4.95 meters, a wavelength of λ = 2π/3.8 ≈ 1.65 meters, and a frequency of f = 1180/3.8 ≈ 310 Hz. The phase of the wave is such that the maximum displacement occurs at x = 0 and t = 0, and the wave is moving in the negative x direction.

The wave function Y2 also describes a sinusoidal wave with the same amplitude and wavelength as Y1, but with a phase difference of 0.25 seconds. This means that Y2 is shifted to the left (negative x direction) by a distance of Δx = λΔφ/2π = λ(0.25)/2π ≈ 0.206 meters. The frequency and speed of Y2 are the same as Y1.

To determine the resultant wave Y, we add the two wave functions: Y = Y1 + Y2. Using the trigonometric identity sin(a + b) = sin(a)cos(b) + cos(a)sin(b), we can simplify the expression for Y:

Y = 4.95sin[π(3.80x - 1180t)] + 4.95sin[π(3.80x - 1180t)cos(0.25) + cos(π/2)sin(0.25)]

Y = 4.95sin[π(3.80x - 1180t)] + 4.95sin[π(3.80x - 1180t + 0.25)]

Y = 4.95sin[π(3.80x - 1180t - 0.206)]

The resultant wave Y is a sinusoidal wave with the same amplitude and wavelength as Y1 and Y2, but with a phase shift and a different waveform due to interference. The frequency and speed of Y are also the same as Y1 and Y2.

To know more about wave function here

https://brainly.com/question/20431795

#SPJ1

-- The given question is incomplete, the complete question is

"Two traveling sinusoidal waves are described by the wave functions

Y1 : 4.95sin[π(3.80x-1180t)]

Y2 : 4.95sin[π(3.80x-1180t-0.250)]

Where x , y1 and y2 are in meters and t is in seconds. Find the wave function of the resultant wave (Y1 + Y2)." --