Your working document should include if it is a permutation or a combination and how you got the answer 5 out of 16 students will ride in a car instead of a van. O Combination; 1,092 O Combination; 4,368 O Permutation; 524,160 O Permutation; 3,622

Q: Let x and y be positive integers such that the prime factorization of x has exactly five 3's and the…

A: x = 35×k          k is an integery = 33×l           l is an integer

Q: A sample of radioactive substance has an initial mass of 946.8MG.  This substance follows a…

A:

Q: Name: Solving Exponential

A: 1)e7x+2 =e2x-8comparing the exponents (as the bases are the same);7x+2 =2x-87x-2x=-8-25x =-10x=-2

Q: 3-X - 2 서 4X 4x + x-6² 4 2003 1 24 X-16

A: To solve for the x.

Q: he equation for the line shown on the right. t is the equation for the line shown on the right? h +…

A: The equation of line parallel to y axis is of the form x = a a is point on x axis.

Q: Find 3A-7 (A + B) and simplify. 22 -9 A= 1 B= 1 √5 8 3A-7(A + B) = + -1 2 4 1 32 4

A:

Q: The equation of the asymptote for ​g(x)=2x+4 is

A: Given, g(x)=2x+4 According to given,   possible​ points are points where the denominator doesn't…

Q: 1. Given: ^-6 -3 B Prove (A+BXA-B)-A²-B¹

A:

Q: The one-to-one function h is defined below. 5x-9 h(x) = 2x+3 -1 Find h¹(x), where h is the inverse…

A:

Q: 424-454

A:

Q: The Sugar Sweet Company is going to transport Its sugar to market. It will cost $2700 to rent…

A:

Q: A rectangle has its two lower corners on the x-axis and its two upper corners on the curve y = 4 -…

A:

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

A:

Q: manufacturer has these given total cost and total revenue functions. C(x) = 100x + 3000 and R(x) =…

A: Given query is to find the profit function.

Q: A ball is hit from the ground. When the ball has traveled a horizontal distance of d meters, its…

A:

Q: Inversion is one step in processing raw sugar. Suppose that in this process, 20% of the available…

A:

Q: The number of a certain type of bacteria, y, present in a culture is determined by the equation…

A: We have given that the number of a certain type of bacteria present in a culture is determined by…

Q: 5. What is the exact value of cos(™)? y (0, 1) (二) (-1,0) 号 O 0号 01 19 () (-²,-²) )。 at trafte 135°…

A:

Q: The cost function for a certain company is C = 30x + 600 and the revenue is given by R = 100x −…

A: Explanation of the answer is as follows

Q: X -10)^2 =45 Solve for x and show all steps. The ^2 represents an exponent

A:

Q: Use the elimination method to find all solutions of the system [x² + y² = 7 1x² - y² = 4 The four…

A: We have to find the solution

Q: Which set of equations best models the point of intersection of the arrow and the target? y = 0.002x…

A:

Q: The tip of a one arm robot is located at P(-6.1,-3.5) in. Find the length of the arm and the angle…

A:

Q: man-made lake at a rate that would empty the lake in 8weeks, but a river that can fill the lake in…

A: According to given,  The rate of emptying the lake= -1/8 (negative since emptying) The rate of…

Q: (a) Give the order of the matrix. (b) Classify the matrix as a square matrix, row matrix, column…

A: The order of the matrix is defined as the product of the number of rows and number of columns. A…

Q: What inputs are defined for each expression in Exercises 9 to 16? 10. 3 x 1 one artibiy 12. 12. 2x +…

A:

Q: Plot points between and beyond each​ x-intercept and vertical asymptote. Find the value of the…

A:

Q: Correct Incorrect Find the slope determined by the following pair of points. (0, -3), (-6,4) Answer…

A: topic - slope and y intercept of line slope of line through (x1,y1) and (x2,y2) isy2-y1x2-x1

Q: Plot points between and beyond each​ x-intercept and vertical asymptote. Find the value of the…

A:

Q: Show that the points (3, 3), (6, 4), (7, 1) and (4, 0) are concyclic. Find the centre and the radius…

A:

Q: Plot points between and beyond each​ x-intercept and vertical asymptote. Find the value of the…

A: Given

Q: 2. Translate each of the following phrases into a mathematical expression. Use as few variables as…

A: Translate each phrases into mathematical form

Q: 10. Solve for t on the interval [0, 2π) (a) 2 cos² t-cost-1=0 (b) 2 sin²t-3 sint + 1 = 0 taol al (c)…

A: Given

Q: P(x) = axa-3 + b² xa+b+5+ c²xc-b+2 - dxc+d

A: Polynomial function: A polynomial function is an expression made up of one or more terms with…

Q: Suppose that the functions fand g are defined as follows. f(x)=(-2+x)(-6+x) g(x)=1-x (a) Find…

A:

Q: The table contains data on the admission price (in dollars) for one-day tickets to 10 theme parks in…

A: To find interquartile range of a data set we first the data into ascending order. Then divide the…

Q: 1 Describe the graph of y = 2x-10 of y = 1/2. - 3 compared to the graph

A: The Graph of y = 1/x

Q: Write your own rational function that has a hole, but does not have a vertical asymptote. Make sure…

A: Given day of birth=28 We know that rational function is of the form p(x)/q(x)

Q: A local zoo is trying to decide how many lions, tigers, and bears to get. The number of tigers…

A: Given that A local zoo is trying to decide how many lions, tigers, and bears to get. The number of…

Q: Find the angle a between the vectors 5 2 and 2 -1 x = 48.37

A: Topic:- vector algebra

Q: Solve the following system of equations 10x^2+7x-y=15 7x^2-2x-y=3

A: The given system of equation is: 10x2+7x-y=15...(1)7x2-2x-y=3...(2)

Q: Mr.Lisk is buying food from McDonald’s and has a total of 45$ to spend. A cheeseburger cost 9$ and…

A: Given Problem:- Mr.Lisk is buying food from McDonald’s and has a total of 45$ to spend. A…

Q: Number of Voters 16 11 12 4 1st Choice A B D A 2nd Choice D D B B 3rd Choice B A C C 4th Choice C C…

A:

Q: write a polynomial function that has the given zeros: -1,2+i, 2-i

A:

Q: Step 1: Step 2: Step 3: Step 4: 50 40x + 9x - 7=0 50+ (-40x + 9x) - 7 = 0 50+ (-40 + 9)x - 7 = 0 50+…

A: Now, we adding the additive inverse of 43. So,                 -31x+43-43=0-43⇒-31x=-43⇒x=4331

Q: 3. What is the amplitude of the periodic function represented by the graph below? 02

A: To be found : Amplitude of given function.

Q: 8. Use the binomial theorem to expand (3x - 4)4.

A: Expan using binomial theorem.

Q: Question 3 The students in an AFDA class have a mean height of 66 inches and a standard deviation of…

A:

Q: Choose the system of equations that matches the following graph: NO 1 2 3 4 5 6 7 8 9 10 11 86 7 95…

A: