Function w gives the weight of a cat in kilograms, when it is m months old. Which statement represents the meaning of the equation w (7) = 4 in %3D this situation? O A) The cat weighs 7 kilograms when it is 4 months old. The cat weighs 4 kilograms when it is 7 months old. O 9 The weight of the cat has been 7 kilograms for 4 months. O D) The cat weighs 4 kilograms when it is 7 years old.

Q: Use the table below to find the pattern. Fill in any missing y-values using your pattern. What type…

A:

Q: Try y(x) = Axn, and check whether this function satisfies the equation as a function of x.  Do…

A:

Q: A small rocket is launched from the top of a building. Its height (in meters) as a function of time…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Katelyn wants to buy a new cell phone. She decides to buy an iPhone 8 for a price of $449.99. She…

A:

Q: A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends…

A:

Q: A 300-gallon tank is initially full of water and is being drained at a rate of 10 gallons per…

A: You need to have the idea of linear function. Here the slope is given.

Q: You plan to make a box with a square base and lid, with the largest possible volume, and with…

A:

Q: Consider the function f (x) = 12– a| – |a – 4| What value of x makes the function equal to 0? i.e.…

A: Solution: Let the function f(x) = |2 - x| - |x - 4|

Q: The function e(m) represents the elevation above sea level in feet of the Mississippi river a…

A: Given function e(m) represents the elevation above sea level in feet of river at m miles from the…

Q: The water depth in a harbor is 18.5 m at high tide and 9.5 m at low tide and one tidal cycle is…

A:

Q: We are constructing a box from a rectangular piece of cardboard. The piece of cardboard which…

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the…

Q: A can in the shape of a right circular cylinder is required to have a volume of 500 cubic…

A:

Q: The number of books in a small library increases according to the function B=5600e0.03t  where t is…

A: In the library, the number of books increases according to the function:

Q: A golf ball is hit with an initial velocity of 130 feet per second at an inclination of 45° to the…

A: hx=-32x21302+x  where x is the horizontal distance that the golf ball has traveled. a)  The height h…

Q: The acceleration due to gravity is-9.8 meters per second squared. An object is thrown upward from a…

A:

Q: An explosion causes debris to rise vertically with an initial velocity of 72 feet per second. The…

A: Given: st=-16t2+72t derivative of s at a is defined as s'a=limh→0sa+h-sah substitute a+h for t in…

Q: 6. Mr.Eltohamy is the quarterback of the MPM2D1 touch football team. During the game, he passed the…

A:

Q: Renee took a 400 mg dose of antibiotics. Her doctor said that the amount of medicine in her…

A: Given query is to find the formula which represents the amount of medicine in bloodstream after t…

Q: The number of females in law continues to show steady increases. The number of female lawyers in a…

A: a. It is exponential function. b. F(30) =>F(30)= .834* x^1.297               =.834*30^1.297…

Q: The function H gives the height, above the ground, of a point on a spinning wheel. The function A…

A: Given that, A (t) = 1.2H (3t)

Q: A baseball player hits a pop fly into the air. The function s(t) = -16t2 + 64t + 5models the ball’s…

A: Ball's height model s(t)=-16t2+64t+5 To find: Time to reach maximum height and maximum height.

Q: estion 6 ellow Taxi Company's charges are based on the function y = 2x + 4, wher is the best…

A: Given  y=2x+4

Q: Eliminate the square root at the denominator of the function: f (x) = (7 - √x - 6) / (7 + √x − 6),…

A:

Q: 3. The path of a ball is modeled by the function f(x) = -x + 3x +5, where f(x) is the height (in…

A: To find the maximum height of the ball

Q: Find (f+g)(3). Enable Zoom/Pan -2

A: We have to find function value

Q: The function f(x) = (6.5x2 - 20.4x + 234)/(x2 + 36), models the pH level, f(x), of the human mouth x…

A: To Determine: a) Use the graph to obtain a reasonable estimate, to the nearest tenth, of the pH…

Q: There are many square prisms with volume 125 in Let w represent the side length of the square base…

A: Given volume of square prism  =125 in3 Volume of prism   V  = w2h  ,  w =width, h =height  Surface…

Q: (d) Use the given information to write an equation that relates the variables x and y. (e) Use part…

A:

Q: Shalvi is a member of first rocket club of India named STAR Club. She launches her latest rocket…

A: Concept: The standard equation for the parabola movement is  y=ax-h2+k Where k is the maximum…

Q: 6 A cannon is placed on the edge of a cliff. The height of a fired cannonball is modeled by the…

A: Note: Multiple questions are given, we are answered with first question only. If you need more…

Q: 1. The atmospheric pressure p on an object decreases with increasing height. This measured in…

A:

Q: A company produces bookcases. The average cost to produce x bookcases can be modeled by the function…

A:

Q: he given bar graph shows the percentage of U.S. women in the labor force from 1960 through 2010.…

A:

Q: The cube root parent function y = Va has been transformed. What is the equation of the new image? -5…

A:

Q: An object is tossed vertically upward from ground level. Its height s(t), in feet, at time t…

A:

Q: 6. The amount of caffeine left in a person's body after having a tall double shot caramel macchiato…

A: To determine the amount of caffeine in the bloodstream.

Q: Stephanie is a very good soccer player. She can kick a soccer ball with an initial velocity of 21.3…

A: Given  h(x) = -4.9x 2 + 21.3x

Q: 6. The function f(x) = 4x + 10 models the amount of money Francis makes when babysitting for x…

A:

Q: c. A person's normal blood pressure increases with age and is approximated by b(x) = + 110, where 2…

A: For a function, y=f(x) , x is the independent variable and y is the dependent variable.  Consider…

Q: A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z…

A:

Q: 6. Create a function g(x) that gives you the total area of the patio: the total area of the pool…

A:

Q: 5. Two sailboats are traveling along the same path away from a dock, beginning from different…

A: Distance travelled = speed X time

Q: The dependent values of the two functions represent the same quantity (the ball's height above the…

A: GivenThe measurement of ball height above the ground in yards as shown belowt (time elapsed since…

Q: You throw your mask into the air and let it fallto the ground without catching it. The height…

A:

Q: Crystal runs a pizza restaurant. She must pay $80 to keep the restaurant open each day even if she…

A:

Q: A circle's radius is 24 cm when the circle begins shrinking, so that its radius length decreases at…

A: A circle's radius is 24 cm when the circle begins shrinking so that its radius length decreases at a…

Q: The circumference of a circle is given by the formula 2πr, where r is the radius of the circle. A…

A:

Q: The top of an electricity pole is supported by a rope of length 5 feet from the base of the pole. If…

A: Given that an electricity pole is supported by a rope whose length is 5 feet form the base of the…

Q: The cost in dollars of making x items is given by the function C (x) = 10x + 600. a. The fixed cost…

A:

Q: 180x The function f(x)%3D models the cost, f(x), in millions of dollars, to remove x% of a river's…

A: Consider the given mathematical model, Where  represents cost in millions of dollars, and x…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.