lacy has $600.00 set aside to build a rectangular excercise kennel for her dogs. She will buy fencing material for $15/ft. Because the side of an existing barn will be used for one of the sides of the kennel, only three sides need to be fenced. Lacy needs the area of the kennel to be 150^2. Determine the dimensions of a kennel that uses all possible fencing material.

lacy has $600.00 set aside to build a rectangular excercise kennel for her dogs. She will buy fencing material for $15/ft. Because the side of an existing barn will be used for one of the sides of the kennel, only three sides need to be fenced. Lacy needs the area of the kennel to be 150^2. Determine the dimensions of a kennel that uses all possible fencing material. Using vertex form find the dimensions .

Larry likes skeet shooting, where a clay disc is shot into the air, and the participant tries to shoot it as it flies through the air. The discs are released from a firing mechanism that sits at ground level and shoots the disc on average a horizontal distance of 120 m on a parabolic path. On avergae, the skeet hits a height of 37.5 m after travelling a horizontal distance of 45 m.

a. Determine the equation of a function, in standard form, that represents the flight of the clay disc. Leave valuses in fractions.

b. Determine the average maximum height of the skeet by completing the square.

Larry likes skeet shooting, where a clay disc is shot into the air, and the participant tries to shoot it as it flies through the air. The discs are released from a firing mechanism that sits at ground level and shoots the disc on average a horizontal distance of 120 m on a parabolic path. On avergae, the skeet hits a height of 37.5 m after travelling a horizontal distance of 45 m.

a. Determine the equation of a function, in standard form, that represents the flight of the clay disc. Leave valuses in fractions.

b. Determine the average maximum height of the skeet by completing the square.

Larry likes skeet shooting, where a clay disc is shot into the air, and the participant tries to shoot it as it flies through the air. The discs are released from a firing mechanism that sits at ground level and shoots the disc on average a horizontal distance of 120 m on a parabolic path. On avergae, the skeet hits a height of 37.5 m after travelling a horizontal distance of 45 m.

a. Determine the equation of a function, in standard form, that represents the flight of the clay disc. Leave valuses in fractions.

b. Determine the average maximum height of the skeet by completing the square.

Indicate the values of t1 and d as well as the simplified general term, tn.

a) 8,26,44,62

b) 14, 14+p, 14+2p, 14+3p

Which of the arithmetic sequences contain the terms 91? Show work for all and how you solved the sequences. 

a. tn= 6+17n

b. 420,417,414,...

c. t1= 4, d= 7

d. 2, 11, 20,...

Aron is training for a 10 km marathon swim in 19 weeks.  Each week, his training plan includes a long distance swim.  In week six, Aron swam a total of 18.75 km.  In week ten, Aron swam a total of 36.25 km.  Each week, Aron increased the distance he swam following an arithmetic sequence until the final week.  In the last week, Aron only swam 5 km in order to save energy for the race. 

a. By what distance did Aron increase his total swimming each week?

b. Determine the distance Aron swam in the first week of training.

c. Determine how far Aron swam in the 18-week training program 

the common ratio of a geometric series is 3 and the fifth term is 324. What is the value of the first term?

Determine the sum of the geometric series 2/3 + 4/3 + 8/3 +... + 128/3