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Q: How do you know when to use nPr and when to use nCr in Permutations and Combinations problems? P...

A: Generally, Permutation used when we have to arrange the objects and Combination is used when we have...

Q: The height of a triangle is 3 cm more than the base. The area of the triangle is 17 cm2. Find the ba...

A: Given:

Q: • Question 2 Simplify 27x². 9x3. Assume all variables represent positive value Question Help: Video ...

A: Given,

Q: Luis motorboat took 3 hours to make trip downstream on a river flowing at 5mph.The current trip agai...

A: Find the speed of boat. (i.e.) x.At downstream:

Q: A 2-digit number is 10 times the sum of its digits. The tens digit is 2 greater than the units digit...

A: given:

Q: A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours it can go 40 km upstream an...

A: Considering the speed of boat in still water is (x) km/h and the speed of stream is (y) km/h respect...

Q: Evaluate for b equals -6 b2+7b-5

A: Given: evaluate for b = - 6

Q: 7/8 Fraction as a decimal.

A: Given:

Q: Solve by factoring

A: Click to see the answer

Q: Magnitude of 2+5i

A: Given, 2 + 5i

Q: How a non-terminating non-recurring decimal real number can be represented on a number line?

A: To determine a method to represent non-terminating non-recurring decimal real number can be represen...

Q: X - 2y = 3 3x = 6y + 9 solve by substition

A: Click to see the answer

Q: What's 2+2

A: Click to see the answer

Q: Zack is 4 times as old as Salman. Zack is also 3 years older than Salman. How old is Zack?

A: Let the age of Zack be x years and the age of salman be y years.Given that Zack is 4 times as old as...

Q: Determine if b is a linear combination of a1, a2, and a3 a1 a2 a3 b 1 -2 -6 11 0 3 7 -5 1 -...

A: It is given that b is a linear combination of a1, a2, and a3.

Q: compute 5-9+10-2

A: The given expression is

Q: Show that the set {5, 15, 25, 35} is a group under multiplication module 40.What is the identity ele...

A: Let us denote the operation given in the question, multiplicationmodulo 40, with · and the usual mul...

Q: Prove that if A is invertible and AB=0, then B=0.

A: Given:

Q: What does the power rule for exponents states? Justify along with an example.

A: State power rule for exponents? Justify along with example

Q: 8 + 4(8 - 2)2

A: Given information:The given expression is 8 + 4(8 - 2)2.

Q: in 2019 the average salary for a major league baseball player was $4,051,490. this salary covers 162...

A: 162 regular season game are covered by $4,051,490so, 1 regular season game is covered by $4,051,490/...

Q: is 7+2(3-2) equal to 17? if not then why.

A: Click to see the answer

Q: Find the center and radius of the circle with equation x2 + y2 -2x + 4y - 11 = 0

A: Given equation of the circle is

Q: what is the difference between a relation and a function?

A: Definition of relation:A relation in mathematics defines the relationship between two different sets...

Q: 6y(5y-6)-5(5y-6)^2 factor

A: Factor the given expression.

Q: 3. Consider the line y = 6. The slope of the line is:

A: Note:For a linear function (equation of line) y = mx + c, the slope is m and the y intercept is c.He...

Q: On selling a T.V. at 5% gain and a fridge at 10% gain shop keeper gains Rs 2000. But if he sells the...

A: Given On selling a T.V. at 5% gain and a fridge at 10% gain shop keeper gains Rs 2000.

Q: 6 people will attend a lunch. 2 cans of juice should be provided per person. Determine the total num...

A: For 6 people to attend a lunch every person should be provided with 2 cans of juice, that is number ...

Q: Solve for the indicated variable. P= a+b+c for c.

A: Given that P= a+b+cWe have to solve for c. That means we need c alone on a side

Q: The Product Rule and Power Rules for Exponents. Simply Expression- (2w2x3y)2 (x4y)5

A: Consider the given expression.

Q: Find the constant k so that : -x2 - (k + 7)x - 8 = -(x - 2)(x - 4)

A: Click to see the answer

Q: Solve: 2x-5+7x=3(5x-4)+4

A: Combine like terms on the left side. Distribute 3 on the right side then combine like terms.

Q: Solve the equation in the attached image:

A: Given,

Q: Form the pair of linear equations in the following problems and find their solutions (if they exist)...

A: Let x be number of correct answers and y be the number of wrong answers.

Q: Perform the indicated operations and write the result in standard form. -8+ square root -12/ 40 Type...

A: GivenGiven

Q: A bicyclist is traveling at 6.7 meters per second. Which of the following mathematical operations wo...

A: Given:A bicyclist is traveling at 6.7 meters per second.

Q: What is meant by Additive inverse property in algebra?

A: Click to see the answer

Q: The sum of the digits of a two-digit counting number is 5. When the digits are reversed, the number ...

A: Let the two digits of the number is x and y.And the number is given by 10x+y

Q: (a) Let (1 0 -3 B = 4 1. 3 2, c-(-: 3). and D = -2 %3D -2 3 Compute A(2B + 3C), (AB)D, and.A(BD). (b...

A: Since there are two questions posted, we will answer the first question (a).If you want the second q...

Q: Solve the following pair of linear equations by the substitution method. 3x – y = 39x − 3y = 9

A: Given:

Q: Solve for 'x' and 'y' : (a+2b)x + (2a b)y = 2 ...

A: given

Q: 8x+4y+10z=6 2x+6y+2az=4 6x-3z=-3 Using matricies, find values for a such that the system has no solu...

A: Click to see the answer

Q: 7 workers can make 210 pairs of cup in 6 days. How many workers are required to make 450 pairs of cu...

A: Given, 7 workers can make 210 pairs of cup in 6 days.Therefore, Number of cups made by one worker pe...

Q: The area of a rectangle is x2 + 4x -12. What are the dimensions of the rectangle (length and width)?

A: Given:The area of a rectangle is x2 + 4x -12.It is known that, for a rectangle,