Help please? ?

Question

31 Simplify the expression:

4(square root)7 + 8(square root)63 =

#32 The tangent of an angle is equal to the ratio of the ____.

#33 Factor the expression : k^2 + kf - 2f^2

#34 Factor the expression: 6g^2 + 11g - 35

#35 A boat costs $15,500 and decreases in value by 10% per year. How much will the boat be worth after 5 year?

A.) $9,152.60 B.) $15,450 C.) $8,237.34 D.) $24,962.91

#37 Solve the equation by factoring: 3z^2 + 3z - 6 =0

#38 Find the final amount of an investment if $2,000 is invested at an interest rate of 8% compounded quarterly for eight years.

#39 The most popular or common data point is a set of data called the ______

Thanks to everyone.

Answer 1

32 The tangent of an angle is equal to the ratio of the opposite angle over adjacent angle or opposite/adjacent. promise thats right. i dont know the rest sorry.

#39 might be mode

Answer 2

31 Simplify the expression:

4(square root)7 + 8 sq rt9(sq rt 7) =

4(square root)7 + 8 (3)(square root)7 =

28 sq rt 7

#33 Factor the expression : k^2 + kf - 2f^2

(k+2f)(k-f)

#34 Factor the expression: 6g^2 + 11g - 35

(3g-5)(2g+7)

35.  Take 15,500 and subtract 1550 (10%)=  13950, then subtract 10% again (1395) = 12555, then subtract 10%, etc, etc, until you reach 5 yrs of depreciation.

#37 Solve the equation by factoring: 3z^2 + 3z - 6 =0

(3z+ 6)(z -1)

z = -2 or z = 1

Answer 3

31. = 4(sqrt7+2sqrt63)

32. sin/cos

33. (k-f)(k+2f)

34. (2g+7)(3g-5)

35. A

37. 3(z^2+z-2)=0

     3(z-1)(z+2)=0

    z=1,-2

38. 2000*1.02^32

     =$3769.08

39. mode