5. From the 10 inflatable pool toys that you've bought during the past year, you plan to take 3 with you on vacation. How many different sets of 3 inflatable pool toys can you take? (A) 30 (B) 120 (C) 240 (D) 720 What is the coefficient of the term with ³ when you expand out (2x + 5) (A) 20 (B) 720 (C) 20,000 (D) 1,000,000

Q: Why is the answer for ii) not (3/9)*(4/9)?

A: We need to answer, why in part(ii) , P(BG) is not equal to (3/9)(4/9).

Q: What is 7/3 + 19/8

A: 73+198=5624+5724=56+5724=11324

Q: 1.1 Simplify: (a) 3+3 (200-12+2) (b) 13,56+37,099 x 18,925 10-4+1 (d) (c) 2x3

A:

Q: 6×390(56)+473=

A: Using BODMAS rule.

Q: What is the coefficient of the following term

A: The binomial expansion of a series is given by the expression (x+y)n=∑k=0nCknxn-kyk. Thus, the…

Q: -2 50 -50 The graph above displays the derivative of y = f(x) defined on the closed interval [-4,4].…

A:

Q: Find the coefficient for the term afb5 from the expansion of: (3a - 2b)¹1 Answer:

A: We need to find the coefficient of a6b5 in the expansion of:(3a-2b)11

Q: (7+7+7+7+7+7+7)2x=1/343

A:

Q: What is the value of 7∑n=1(n2+3)?

A:

Q: Write the general term for (6x + 2y)*". 10

A: The given expression 6x+2y10 contains a sum of two terms, so it is known as a binomial. Compare the…

Q: 5. Re-write the following in factorial notation then simplify and evaluate: 5. 8P2 x 6P3 56x120…

A: Given that  8P2×6P3

Q: simplify: (n!)/(n+2)!

A: n! = n(n-1)(n-2)...... 4.3.2.1

Q: EVALUATE FOLLOWING TERMS    (A) 8P5  (B) 12P8

A: A) Consider, P58=8!(8-5)!    =8!3!    =8*7*6*5*4*3!3!   =6720 B) P812=12!(12-8)!    =12!4!…

Q: Find z if (4.7)*(4.7)€ (4.7) -7 = (4.7)²

A:

Q: 9. Expand (multiply out) the expression: (4 + 2x)³. Show your work. Combine like terms in your final…

A:

Q: What is y=2/3x + 4 writen in standard for ? using integer coefficients

A:

Q: (a) The remainder when 5555 is divided by 55.

A:

Q: What is 2 3/4 x 5 7/5?

A: We have to solve the product

Q: Find x

A: the question is taken from the trigonometry  in which we have to length x by using the trigonometry…

Q: Which is the smallest? (a) -1, (b) -1/2, (c) 0, (d) 3.

A: Which is the smallest?(a) -1,(b) -1/2,(c) 0,(d) 3.

Q: (5) x 109

A: We have to evaluate 58+(5)×109

Q: Was the highest power of 23 that will divide 5000! without leaving a remainder? (a) (b) 714 (c) 276…

A: We need to find ,  highest power of  23 that will divide 5000!. We know , highest power  m of any…

Q: simplify-(n+5!) (n+3)(n+a)!

A:

Q: what is the coefficient of b5c2 in (c + b)7

A: We know that  (a+b)n = C0nanb0+C1nan-1b1+C2nan-2b2+...+Cn-1na1bn-1+Cnna0bn Hence (c+b)7 =…

Q: what is the fraction 1/2 - 3/7?

A:

Q: Please find the binomial coefficient for the below: (10¦4) (12¦3

A: The objective is to find the binomial coefficient for the following: (10¦4) (12¦3)

Q: May I ask why there is a plus 8 in the final answer?

A: We have to explain why there is 8 in final answer.

Q: Which of the following represents the expression 24x% written in simplest form? (1) (3) 4 (2) 4x (4)…

A: Apply the formula, xaxb=xa-bx-a=1xa So, 244x-1/26x5/2=4x-12-521

Q: Evaluate the expression.

A: We have to evaluate the expression: (a)  12523(b)  256432(c)  27-43 We know the properties of…

Q: 235 101 %3D 210 (1) 4 (2) -5 (3) 3 (4) 9

A:

Q: What is the first step in evaluating the expression below?   3×(9-(4+2)÷2)

A:

Q: 13. Evaluate the following, no decimal answers only fractions 4-² x5-³ 4³x5 a) (5¹ (5)-¹)+ 5-14 d)…

A:

Q: I don't understand how (1+2+.....+k)^2=(k(k+1)/2))^2. Please explain. Thank you

A:

Q: (-0.0159x* + 0.2301x³ – 1.2034x² + 2.6595x + 0.0661)²

A: Given, -0.0159x4+0.2301x3-1.2034x2+2.2034x2+2.6595x+0.06612 We know that, a2=a×a…

Q: How do I find the GCF of the given terms: 15(x - 2)5 , 9(x - 2)8, 3(x -2)10 ?

A:

Q: What is the reminder when 433 1? -5x+4 is divided by (2x – 1)? b-1 eThere is no reminder

A: We will use polynomial long division to solve it

Q: Find the result of 5 + 4 using the definition of addition

A: addition is summing up of two or more numbers