1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
boyakko [2]
3 years ago
12

Write the equation expressing the relationship "y varies directly as x." use k as the constant of proportionality.

Physics
2 answers:
Alexeev081 [22]3 years ago
6 0

The equation expressing the statement "y varies directly as x"  is y=kx.

Explanation

The statement that y varies directly as x is analogous to saying that  the ratio of y to x is constant. In other words, when x increases, y likewise increases and that when x decreases, y decreases proportionally.

Mathematically, we express the relationship that the ration of y is to x is constant is expressed as; \frac{y}{x} =k where k is the constant of proportionality.

We can then solve the relationship for y to determine the correct form of the relationship as shown below,

\frac{y}{x} =k\\\rightarrow y=kx


satela [25.4K]3 years ago
3 0
The equation expressing the relationship "y varies directly as x" using k as the constant of proportionality is y = kx  hope this helps
You might be interested in
If a proton and an electron are released when they are 7.00×10−10 m apart (typical atomic distances), find the initial accelerat
Ugo [173]

Answer:

The acceleration of the proton is 2.823 x 10¹⁷ m/s²

The acceleration of the electron is 5.175 x 10²⁰ m/s²

Explanation:

Given;

distance between the electron and proton, r = 7 x 10⁻¹⁰ m

mass of proton, m_p = 1.67 x 10⁻²⁷ kg

mass of electron, m_e = 9.11 x 10⁻³¹ kg

The attractive force between the two charges is given by Coulomb's law;

F = \frac{k(q_p)(q_e)}{r^2}

where;

k is Coulomb's constant = 9 x 10⁹ Nm²/c²

F = \frac{k(q_p)(q_e)}{r^2} \\\\F = \frac{(9*10^9)(1.602*10^{-19})(1.602*10^{-19})}{(7*10^{-10})^2} \\\\F = 4.714 *10^{-10} \ N

Acceleration of proton is given by;

F = ma

F = m_pa_p\\\\a_p = \frac{F}{m_p}\\\\a_p = \frac{4.714*10^{-10}}{1.67*10^{-27}}\\\\a_p = 2.823 *10^{17} \ m/s^2

Acceleration of the electron is given by;

F = m_ea_e\\\\a_e = \frac{F}{m_e}\\\\a_e = \frac{4.714*10^{-10}}{9.11*10^{-31}}\\\\a_e = 5.175 *10^{20} \ m/s^2

7 0
3 years ago
Hurricanes are especially destructive because of the abrupt decrease in air pressure that they bring with the winds. Consider a
ivann1987 [24]

Answer:

2.96 × 10^4 N

Explanation:

1 atm = 101325 N/m², pressure inside the airtight room = 1.02 atm, pressure outside due to hurricane = 0.91 atm

net pressure directed outward = P inside - P  outside

net pressure = 1.02 - 0.91 = 0.11 atm

where 1 atm = 101325N/m²

0.11 atm = 0.11 × 101325 N/m² = 11145.75 N/m²

area of the square wall = l × l where l is the length of the wall in meters = 1.63 × 1.63 = 2.6569

net pressure = net force / area

make net force subject of the formula

net force = net pressure × area = 11145.75 × 2.6569 = 2.96 × 10 ^4 N

8 0
3 years ago
An object is located 51 millimeters from a diverging lens. The object has a height of 13 millimeters and the image height is 3.5
12345 [234]
You would get 13.7 
mi/51mm=3.5mm/13mm
by solving it you will B13.7mm
3 0
3 years ago
Read 2 more answers
Electromagnetic waves differ fundamentally from either water or sound waves because they
stepladder [879]
<span>Electromagnetic waves differ fundamentally from either water or sound waves because they does not require any medium, they can travel in free space (vacuum) 

Hope this helps!</span>
8 0
3 years ago
Tropical winds that blow east to west are?
suter [353]
Its called the "westerly"
6 0
3 years ago
Other questions:
  • How do lines of latitude affect how direct or indirect the Sun’s rays are on the Earth?
    8·1 answer
  • A horizontal desk surface measures 1.7 m by 1.0 m. If the Earth's magnetic field has magnitude 0.42 mT and is directed 68° below
    14·1 answer
  • once you decide that it is safe to move out of traffic, what steps should you follow to ensure safe passage?
    9·1 answer
  • Momentum has a _____.<br> a. direction only<br> b. magnitude only<br> c. direction and magnitude
    14·2 answers
  • WHY IS SATURN ONE OF THE COLDEST PLANETS IN OUR SOLAR SYSTEM
    14·1 answer
  • 2. How does the medium vibrate in a transverse wave?
    13·1 answer
  • I will give the Branliest!!! In which body of water can you see your reflected image better, a pond or an ocean? Why? (Please ex
    5·2 answers
  • Assume that a person bouncing a ball represents a closed system. Which statement best describes how the amounts of the ball's po
    5·1 answer
  • 7. All of the following descriptions are true about descriptive method of research except one:
    13·1 answer
  • A 1000 kg truck moving at 2.0 m/s runs into a concrete wall. It takes 0.5 s for the truck to completely stop. What is the magnit
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!