8. How many positive divisors does 2000= (2^4)(5^3) have?

Q: A contest consists of finding code words that can be formed from the letters “MEEST”. Assume that…

A: Given word MEEST, Letters = {M,E,E,S,T} Since the letter E is repeated twice then number of words…

Q: Show that 2^645 -1 is a pseudoprime. i know 2>1 and 645 is composite. But how to prove 645 divides…

A: A pseudoprime or probable prime is actually not a prime number or it is a composite number which…

Q: A state makes license plates with two letters followed by four numbers with no repetitions of the…

A: Since, the license plates contain two letters followed by four digits.So, the number plates will be

Q: ity by 11 by alternately adding and subtracti left, beginning with the units digit-that is, units…

A:

Q: What is the exponent on the x variable of the 3st/nd/rd/th term in the expansion of 17 (x2 +3y)" ?…

A: using formula:-

Q: A natural number greater than 1 that has only itself and 1 as factors is called a/an number.

A: Given that  A natural number greater than 1 that has only itself and 1 as factors is called…

Q: y = 3x - 5 mod 26 СРHТXT

A: Let us consider the equation y≡ax+b(mod 26) To decrypt the message  Convert the equation in terms…

Q: 2X=3 mod 5 Show your work

A: the given congruence equation is 2x≡3mod 5 the general congruence equation is ax≡bmod c…

Q: How would I solve for n and m (without a calculator)? Please explain. 5" = 3( mod 97) 5m = 7( mod…

A: to find the value of m , n when 5n≡3 mod 975m≡7 mod 97 (i) we can write 5n≡3 mod 97 as   5n=97s+3…

Q: Find all integer solutions to the equation 23. + 6x2 + x + 6 =1 mod 74. Explain your method and cite…

A: en x3+6x2+x+6 = 1 mod 71

Q: 18. Find MZBCA. В (5x 12)° (9x + 1)°, (10x - 37)°

A:

Q: An identity thief is trying to break into someone's computer that is protected by a 4-digit passcode…

A:

Q: how do you find "In (5/2) " on a calcualtor

A: To find ln(5/2)

Q: Every whole number with a units digit of 5 can be represented by the expression 10x + 5, where x is…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 3x = 11 (mod 20)

A:

Q: Va 占>0 !! に

A:

Q: WHAT IS THE THREE SIGNIFICANT FIGURE OF  6.202 eV

A: See answer below.

Q: What statement is missing from the 2-column proof proving that ΔRUS≅ΔSVT?

A:

Q: When x is divided by 7, the remainder is 5. What is the remainder when 5x is divided by 7? Moreover,…

A:

Q: Verify that 11C5=11C6.   11C5=___________ (Type a whole​ number.) 11C6=___________(Type a whole​…

A: We have to verify that 11C5=11C6.

Q: how to prove √6 is irrational

A:

Q: Please explain how to solve: (5 · 17) (mod 8)

A: To solve  (5*17) (mod8) we use the properties of modulo

Q: "Every positive integer can be written as the sum of the square of 3 positive integers." prove…

A: Given: "Every positive integer can be written as the sum of the square of 3 positive integers." To…

Q: A supermarket wants to send codes for $0.25 off a bag of chips to its rewards program members. Each…

A: There are 24 letters and 7 digits that would be used to generate a coupon with one digit follows by…

Q: Number of solutions of the equation 3x - 2x + 5x2 + x+2= 0 under modulo 5 is'are OB. OD 3

A: Consider the given equation, 3x4 - 2x3 + 5x2 + x + 2 = 0 The set modelo 5 is, ℤ5={0, 1, 2, 3, 4}…

Q: 2X+3=1 mod 5 Show your work

A: We have solve given problem:

Q: Prove that if the sum of the digits is subtracted from a natural number, then the result is…

A: let us assume the number to be three digit number xyz therefore, xyz=100x+10y+z sum of digits will…

Q: How do i prove 8.10? Could you include step by step explanation?

A: Consider the equation

Q: The greatest common divisor of two number 1, b(nteger) are. None of the

A:

Q: A computer password is to consist of three lower case letters followed by two digits. Determine how…

A: .

Q: 3. Show that (5+ 13)e + (5- i3)-" is a real number if is also a real number.

A:

Q: Find [7]^-1 in Z55 under multiplication.

A:

Q: Solve for x: 34⁵⁰≡3x (mod26 )

A: Let us consider the equation ax≡b (mod n) is a modulo equation  where x is the solution of the…

Q: Find a number that is less than 1740719 which is congruent to 577 modulo 1279 and congruent to 317…

A: Given, a number that is less than 1740719 which is congruent to 577 modulo 1279 and congruent to 317…

Q: divisible by 3

A:

Q: b. 3x = 0 (mod 21)

A:

Q: Let x, y ∈Z. Prove that if x≡1(mod 5) and y ≡2(mod5 ), then x^2-y^2≡0(mod 5).  Give 2 examples to…

A: Given, x,y∈ℤ and x≡1mod 5, y≡2mod 5

Q: Inverse of 19 modulo 141 is

A:

Q: (5 × 104)(8 × 105) 4 × 106   (10 × 10−5)(9 × 106) 5 × 109

A: We have to calculate the values in scientific form of And

Q: Number theory

A:

Q: Compute 59^11 mod 13 = You should know how to do this without a calculator by using the modulo…

A:

Q: Show that, given a 7-digit number, where all digits except perhaps the last is non-zero, you can…

A:

Q: How many Gaussian integers have norm 3² . 52. 72 . 294? Try to count them without doing a lot of…

A: To determine how many Gaussian integers have norm 32·52·72·292 Let α=a+ib be an arbitrary Gaussian…

Q: 3) Find 3521 mod 645 by modular exponentiation. You must show your work step by step.

A: Solution: 3521 mod 645

Q: How do I use the Chinese Remainder Thm. to solve this system of congruences?? x ≡ 2 (mod 3) x ≡ 6…

A:

Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: Given expression: 3c+c247 Concept used for the general term:…

Q: 7-メナ メ= t ४%= +" Find az -1/3

A:

Q: Can you please explain why we're dividing by all of that under the radical in the attached pic?  I…

A: Given equation is 3sinθ-cosθ=13sinθ=1+cosθ Squaring both sides.…

Q: Prove that the difference of squares of any two odd numbers is múltiple of 8. (SOlve this task…

A: To prove- The difference of square of any two odd numbers is a multiple of 8.   Odd numbers are…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.