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,...

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

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.

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 .

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.

The driver of a 2600 kg truck travelling at 13.1 m/s along a level but icy road steps on the brakes. The wheels lock and the tires slid along the icy surface for a distance of 26.2 m before coming to a stop. Calculate the coefficient of kinetic friction between the tires' surface and the ice. 

Explain how calcium carbonate functions as a buffer. Include a chemical reaction in your explanation

Using structural diagrams, write an equation to show the reaction of butanoic acid with water to produce hydronium ion and a conjugate base. label the reactants and products