Sometimes it is more convenient to express a number as a product of a power of 10 and a number that is not between 1 and 10. For example, suppose that we want to calculate √640,000. We can proceed as follows: √640,000 = √((64)(104)) = ((64)(104))1/2 = (64)1/2(104)1/2 = (8)(102) = 8(100) = 800 Compute each of the following without a calculator, and then use a calculator to check your answers. √0.000121

Q: 1/3(6x+9) with the commutative property I get the equation 1/3(6x) + 1/3(9) How do you simplify this…

A: A binary operation is said to be commutative if changing the order of the operands does not change…

Q: (n^2-n)+((n-1)^2-(n-1))+....+(1^2-1) =n(n+1)(2n+1)/6 - n(n+1)/2

A: We shall first derive the formulas for sum of first n natural numbers and sum of squares of first n…

Q: Given that ² (₁+¹) 9 () = 9 ¹ (3) · = 11440 and = 6435, what is the value of (3) 9 ? Enter your…

A: Given n+19 = 11440 and n8 = 6435

Q: (*+)(LX +ン 2" (2n +1)

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Q: Suppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about…

A: We will use the given decay function and initial conditions to find the require time

Q: Find S - X5 - 4 X 5 x5 +4√x dx dz +C

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Q: The exponential form of z=(3/2)√2+(3/2)√2i is?

A:

Q: A Social Security number consists of nine digits in a particular order, and repetition of digits is…

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Q: in (4) d. [5in(x+6) - In(x) - In(x² - 25)]

A: Solve the expression

Q: how do we go from 1/2(1-1/256) divided by 3/2 to 1/3(255/256)

A:

Q: a) 13/5 x (3/4) ÷ (4/5 – ½) =  b) Solve 3(x – 5)/3 = 2(2x – 1)/5 + 1

A: Given:  a) 135×34 ÷45-12 =? b) Solve 3(x – 5)3= 2(2x – 1)5 + 1.

Q: (1) Simplify the following expressions using the index rules showing all working. The final…

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Q: Evaluate √12 to four decimal places by Newton-Raphson method

A: To use the Newton-Raphson method to evaluate 12, we start with an initial guess, say x = 3. Then we…

Q: In(+2)-3

A:

Q: Find n(A)   A= {1/2, -1/2, 1/3,- 1/3,......1/10, -1/10}

A: Compute n(A) as follows.Assume a set B with 20 elements.B = {1,−1, 2, −2, 3, −3,......10, −10}.

Q: 11/4 x 2 2/5 ÷ (11/4 + 21/12) =

A: The given expression,       114×225÷114+2112

Q: 7. Express the following numbers without using exponents. (a) 2-1 = (b) 2-3 = (c) ) 1 (d) 2-3

A: By using a-m=1amabm=ambm

Q: Solve the following using the correct order of operations. For the final answer, DO NOT round or use…

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Q: How close to - 1 do we have to take x so that 1/(x+1)^2>400 ANSWER AS FRACTION

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Q: Perform the indicated operations: (1 -1/x)(1 - 1/(x +1)(1 - 1/(x+2)(1 - 1/(x+3) ?

A: Given expression, 1-1x1-1x+11-1x+21-1x+3

Q: ∞ xdx (x²+4)³/2

A: The given integral

Q: Is the following simplification process correct? (3-2)-1 = (1/32)-1 = (1/9)-1 = 1/(1/9)1 = 9. Could…

A: Given simplification process is: (3-2)-1=(132)-1=(19)-1=1(19)1=9Is correct. Alternative method:…

Q: The president of a major housing construction firm reports that the number of construction jobs (in…

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Q: I am having trouble with applications.  i know that with 12,000(1+0.0575/2)^2t you have to solve…

A: Here we solve the bracket part.

Q: Use al-Kashi's method to approximate 138 (including the fractional part of the approximation).

A: In the solution part given the complete explanation of the solution by using al-Kashi's method

Q: Find all the integer solutions for x+5/10 (11-clock) Show all your work to answer the problem.

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Q: (3/5 +1/5)x(2/4-1/4)=N

A: We want to find the value of N

Q: 0007 (d) 5 X = (e) 5 X 36 nlox 6 X = (f) 5 12 || X 24 = X 48

A:

Q: how do you get 9.6 from  the problem 576/60?

A: Here we have to divide 576 by 60, as the problem is 576/60 or 576÷60

Q: In(7x – 1)= In(3x + 7)

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: This question is designed to be answered without a calculator. (10¹ x) = (In x)10¹n x-1 O (In…

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Q: hat is the last digit in the product of (3¹)(3²)(3³)(34)...(34⁰⁰)?

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.