Can someone please solve these questions, please do not use chat gpt or any other source, and please if you use formulas only use the formula sheet I have provided. I will definitely give you a thumbs up if u follow this:) and please show work!!

Mathematics 30-1 Formula Sheet For ax' + bx + c = 0, Trigonometry x = =bzyb - 4ac 2a 0 = a Relations and Functions tan 0 = sin 0 cot 0 = cos 0 cos 0 sin 0 Graphing Calculator Window Format csc 0 = - 1 1 sin 0 sec 0 = - cos 0 x: [Xmin, Xmax, Xsci ] cot 0 = 1 y: [ymin, ymax, ysci ] tan 0 Laws of Logarithms sin 0 + cos 0 = 1 1 + tan'0 = sec20 log. (M X N) = log,M + log.N 1 + cot20 = csc20 (M ) = log,M - log .N log. (M") = nlog.M sin (a + B) = sina cos B + cosa sin B logbc = log.C logab sin(a - B) = sin a cos B - cosa sin B cos (a + B) = cosa cos B - sin a sin B Growth/Decay Formula cos(a - B) = cosa cos B + sin a sin B y = abp tan (a + B) = tan a + tan B 1 - tan a tan B General Form of a Transformed Function tan (a - B) =- tana - tan B 1 + tan a tan B sin(2a) = 2 sin a cos a y = aflb(x - h) ]+ k cos(2a) = costa - sina Permutations, Combinations, cos (2a) = 2 costa - 1 and the Binomial Theorem cos (2a) = 1 - 2 sina tan(2a) = 2 tana n! = n(n - 1)(n - 2)...3 X 2 X 1, 1 - tan a where n E N and 0! = 1 y = asin[b(x - c)]+ d n! "P. =(n-r)! y = a cos[b(x - c)]+ d C,= n! (n - r)!r! "C, = (n) In the expansion of (x + y)", the general term is the 1 = " Ckx"-ky*.9. A sandwich shop offers a choice of 9 toppings, which include pickles and onions, and 6 sauces, which include mustard. You want to order a turkey sandwich with 4 toppings and 5 sauces. One of the toppings must be pickles, and you have an allergy to onions. You don't want mustard as a sauce. How many different turkey sandwiches could you order? Explain your reasoning. 10. A chef wants to use leftover meats and vegetables to make a stew that contains 3 types of meat and 3 types of vegetables. She has 6 types of meat and 7 types of vegetables to choose from. How many different stews can the chef make? 11. a) What is the sum of all the numbers in row 4 of Pascal's triangle? What is the sum of all the numbers in row 5?7 In row 6? b) What pattern do you see in your answers to part a? How can you use this pattern to determine the sum of all the numbers in row n of Pascal's triangle? 12. Expand (5}: + 3}?]5. 3 13. Use the binomial theorem to expand [xz - 10x+ 25] ; w Use the following information to answer numerical-response guestion 2. The point A(3.5) lies on the graph of the function v = f(x). The ordered pairs below represent possible coordinates of the new point corresponding to Point A after f(x) undergoes a single transformation. Point1 (3.5 Point2 (-3.5) Peoint3 (-3.-5) Point4 (-5.-3) Point5 (-5, 3) Point6 (5.-3) Numerical Response The corresponding point when the graph of v = f(x) is reflected about the line v=uxisPoint _____ (Record in the first column) x=0isPoint _____ (Record in the second column) v=0isPoint ___ (Record in the third column) 3. When compared to the gmph of v = f(x), the graph of 8y = f(x) has been reflected in the i and vertically stretched about the x-axis by a factor of i : The statement above is completed by the information in row \f13. Use the binomial theorem to expand ( x2 - 10x + 25 ). To = (626-0(-5)0 = 1.2 . 1=2 T1 = (1 26-1(-5)1 = 6.25. (-5) =-301 formula solution (xty )" T2 = 20-2(-5)? = 15 . 24 . 25 = 375x (a - 5)6 T3 = 2 2.6-3(-5)3 = 20 . 23 . (-125) = -25002" IN = ( 1) 2 6 - k ( - 5 ) ke TA= (920 4(-5)" = 15 . x2 . 625 = 9375x- Ts = (6276-5(-5)5 = 6. 2 . (-3125) = -18750x To = ( 26-6(-5) = 1 - 1 . 15625 = 15625 x - 30x + 375x -2500x + 9375x2 - 18750x + 15625