Engr. Moncada is playing tennis. She hit the ball into the air at a certain height in meters given by the equation h(t)=-24t^2+120t, where t is the number of seconds elapsed since the ball was hit. How long does it take for the ball to hit the ground?

Q: Let a varies jointly as the square of b and the 5th power of c. What is the formula?

A: It is given that, a varies jointly as the square of b and the 5th power of c

Q: If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

A: Given height is : Sx=60+29.4x-9.8x2 (a) How long will it take the projectile to reach its maximum…

Q: The profit per acre from a grove of orange trees is given by x(110 - x) dollars, where x is the…

A:

Q: Find the two positive numbers, whose product is 100 and sum is maximum.

A: We have to find the two positive numbers, whose product is 100 and sum is maximum.

Q: Solve using quotient rule:  f(x) = (x^2 + 4) (x^4 – 4x^2 + 16)

A: Given function: fx=x2+4x4-4x2+16 We know that, a3+b3=a+ba2-ab+b2.

Q: Find the root of equation  X^3-x^2+2sinx=0 By using N-R method.

A: Newton Raphson Method xn+1=xn-f(xn)f'(xn)

Q: Find the slope of f(x)=3x−2 at (4,10).

A: The slope of straight line is constant for every value of x. We observe that the given function…

Q: The value v of a porsch 718bCayman that is t years old can be modelled by v(t)=420000(0.965)t What…

A: The value is governed by the equation, v(t)=420000(0.965)2

Q: Obtain the Selution of diffnential equation Sec Y x2-4x +5

A:

Q: R = 840x + 207x² – x³ X = units

A:

Q: A population of bacteria is growing according to the equation P(t) = 750e population will exceed…

A: Equation for bacteria growth is given by- Pt=750e0.04t We have to find out when the population of…

Q: A projectile is thrown upward so that it’s distance above the ground after t seconds is h =…

A: Consider the given Function, h=-11t2+484t to find the maximum height of the projectile differentiate…

Q: Solve for x. Show your work. 4x + 5 = 23 4x - 5 = 8x +7- 6x 6. 5.

A:

Q: yt + x* = F g?

A: Given that: y4+x4=x5y7 Now, take the all "y" terms on one side, we get: y7x5-y4=x4 Now take the…

Q: If a ball is thrown directly upward with a velocity of 50 ft/s, its height (in feet) after t seconds…

A:

Q: Suppose the equation for the amount of water w (in gallons) in the pool after t hours is w=…

A: It is given that, if w is the amount of water (in gallons) in the pool after t hours, then w=…

Q: 3) If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

A: we can observe that the given expression is a quadratic equation and it will attain its maximum…

Q: gt+*=ドg

A: If the relation between the variables x and y are given by an equation and the equation can not be…

Q: Rearrange this equation to isolate c. a = b C =

A: We will use equation formation method to find solution  to the problem .

Q: What is the domain of y=ln(x^2+3x−18)

A: Consider the given function

Q: a + C (d - e) = f

A:

Q: The profit per acre from a grove of orange trees is given by x(270 – x) dollars, where x is the…

A: Given, The profit per acre from a grove of orange trees is given by x(270-x) dollars, x is the…

Q: 3) If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

A: Answer

Q: Newborn blue whales are approximately24 feet long and weigh 3 tons. Young whales arenursed for 7…

A: Given that newborn blue whales are approximately 24 feet long and weigh 3 tons. Young whales are…

Q: Assume that from 1860 to 1920, the city of Painesville’s population experienced uninhibited growth.…

A:

Q: The combined yearly interest for x dollars invested at 12% and 30,000 - x dollars invested at 9%…

A: Given Data The interest rate for x dollars invested is n1=12%. The interest rate for 30000-x dollars…

Q: Suppose y vaires directly as x, and y=98 when x=14. Write a direct variation equation that relates x…

A:

Q: Rearrange this equation to isolate c. a = b c =

A: The given equation is                                     a=b1c-1d We have to rearrange this given…

Q: What is the family of the equation y=2* linear? quadratic? or exponential? HY

A: Solve the following

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(z)…

A: In year 2002 , exports will reach $8.5 billion.

Q: solve for x. 3e2x = (3a − 1)ex + a, where a is a constant. Does your answer change depending on…

A: if ax2+bx+c=0 then x=-b±b2-4ac2a

Q: The production costs per week for producing x widgets are given by: C(x) = 500+ 350x -0.09x², 0≤x≤…

A: The production cost per week for producing x widgets is given by: Cx=500+350x-0.09x20≤x≤1000To…

Q: The height of a ball after being dropped from a point 100 feet above the ground is given by h = −16t…

A: When the ball is 60 feet above the ground, then h=60. When the ball hits the ground, then h=0.

Q: The height (in feet) at any time t (in seconds) of a projectile thrown vertically is h(t) =-16t2 +…

A: We have to find the velocity when the object hits the ground. The given height function is…

Q: A tractor spends 5 days plowing x number of fields. How many days will it take to plow y number of…

A: Given: A tractor spends 5 days plowing x number of fields.

Q: The height of a cannonball, h, in meters, over time, t, in seconds, as it is shot off a platform can…

A:

Q: If a ball is thrown upward at 96 feet per second from a height of 4 feet, the height of the ball can…

A:

Q: Find the length x. X 2.

A:

Q: A population of bacteria is growing according to the equation P(t)=1700e0.17t. Estimate when the…

A:

Q: The profit per acre from a grove of orange trees is given by  x(150 − x) dollars,  where x is the…

A:

Q: Find the three positive numbers whose product is 27 such that their sum is as small as possible.

A:

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x) =…

A:

Q: The population of a bacteria colony triples every hour. If the initial population is 100 write an…

A:

Q: Suppose that y varies directly as the square root of x,and that y = 16 when x = 4. Find x when y =…

A: y varies directly as the square root of x.  That is, y α x⇒y=kx   →1   where k is the constant of…

Q: A population of bacteria is growing according to the equation P(t) = 1400e , Estimate when the…

A: Given: A population of bacteria is growing according to the equation P(t)=1400e0.09t. The value of…

Q: If an object is dropped from 182 foot high building, it's position (in feet above ground) is given…

A: Given that, an object is dropped from 182 foot high building. It’s position is given by,

Q: A population of bacteria is growing according to the equation P(t) = 1950eº population will exceed…

A:

Q: In the vicinity of a bonfire, the temperature T in C at a distance of x meters from the center of…

A: Given: In the Vicinity of a bonfire, the temperature T in C at a distance of xmeters from the center…

Q: The height of a ball after being dropped from a point 64 feet above the ground is given by h=…

A: When the ball hits the ground, the height of the ball from the ground is zero. The solution of the…