QD final

Find the four terms of the arithmetic sequence given the 13th term ( a\" = 6{J) and the thirty third term (0.3;; = 1(i(]). Given terms: ([13 = {] and ([33 = 16{.] Find these terms: :2 ._ :I ll There is lightning rod on the top of a building. From a location 500 feet from the base of the building, the angle of elevation to the top of the building is measured to be 36. From the same location, the angle of elevation to the top of the lightning rod is measured to be 38. Find the height of the lightning rod. Please round to the nearest hundredth. The lightning rod is feet tall. Write a recursive formula for the given arithmetic sequence, and then find the specified term. .={2,6,10,...} (11 I an : aft1+ as Use the description below to find the equation of the hyperbola in standard form. Try making a sketch of the graph to help you. If a value is not an integer then type it as a decimal rounded to the nearest hundredth. Standard form: lykF l_J!h]2 : 1 a2 b" Description: Vertices at (0,6) and (0,-6) and one focus at (0,8). The value for h is The value for 1-; is The value For a is The value Forb is Write the equation below in standard form and then answer the following questions. If a value is a non-integer type your answer as a reduced fraction. Type the center of the ellipse as the point (X,y) be sure to include parentheses and a comma between the values. 413'? + y2r : :1 The value for the denominator on .I' is: The value for the denominator on y is: The center is at the point Determine the value of the annuity for the indicated monthly deposit amount, the number of deposits, and the interest rate. You will need to determine the value for r to solve this problem. When finding r round to the nearest hundredth. Deposit amount: $100; totaldeposits: 120; interest rate: 10%, compounded semi-annually The value for r is The value of the annuity is $ The standard form For an ellipse whose major axis is parallel to the 3' axis is: {ixh? (yL'F _ T b; _1Wherea>b Use the image of the ellipse below to create the corresponding equation in standard form and then answer the following questions. If a value is a noninteger type your answer as a reduced fraction. The center of the ellipse is the point ( , ) The value for a. is: The value for b is: The standard form for an ellipse whose major axis is parallel to the .1' axis is: \"1le iiiE : 1 Where a 3:. b and the point ([3. A") is the center of the {_ _ _ ellipse. Write the equation below in standard form and then answer the following questions. If a value is a noninteger type your answer as a decimal rounded to the hundredths place. 3-? 8:17 + 253;? 1003; + 91 : {J The center of the ellipse is (h, A}. h : and I; : The value for a is The value for b is The foci with the positive .1? value is the point ( , ) The foci with the negative .I' value is the point ( , ) Write the next four terms of the geometric sequence, given the first term andconnnonrado. If your term is not an integer type it as a decimal rounded to the nearest thousandth. LlIvi (11 = Sand '1' = (I a (1:; (I 1 (1"- Solve the equation below for x. If there is no solution type NS. If your answer is not an integer type it as a reduced fraction. 309%"? + (5) 30980") = [098(58) .-. -'"'.' Find the length of the arc of a circle of radius 5 inches subtended by a central angle of 220 degrees. Round your answer to the nearest hundredth. The length of the arc is inches. Use the definition of a logarithm to solve the equation below. If there is not a solution type NS. If your answer is not an integer type it as a reduced fraction. 10 4ln-(9 8.1?) = (i The denominator in our answer is