How do you express in a formula that n to the power of 3 minus n is a multiple of 6 for every number > or = to 0

Q: Find the solution of 7у (8 — у), у(0) — 24. (Express numbers in exact form. Use symbolic notation…

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Q: Solve. 2 – 5| 10 – 2n |2 -28 On<2 and n 2 8 On 2 2 or n < 8 On<2 or n 8 On2 2 and n < 8

A: Given, The inequality is 2-510-2n≥-28.

Q: Find a Rational number between 1/4 and 1/3

A: We will use basic knowledge of rational numbers to answer this question.

Q: What is the product of 3/3cis () and 3/5cis (2 V 3 Enter your answer by filling in the boxes. Enter…

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Q: Find the absolute error in the sum of the numbers 105.6, 27.28, 5.63, 0.1467, 0.000523, 208.5,…

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Q: 13 our answer, including any radicals. Use integers or fractions for any numbers in the expression.)

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Q: Express the repeating decimal number as a quotient of two integers. 2.36 ... 2.36 = (Simplify your…

A: The given decimal is:2.36¯

Q: 15. Find the solution set, graph it on a number line, and express it in interval notation. |r +5-1<2…

A: We have to find the solution set, solution set graph on number line and we have to express the…

Q: Deduce expressions for the sum of the first 2n positive integers and the sum of the first n positive…

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Q: elect any two-digit number. Multiply it by 9 . Then add the digits. Keep adding the digits in the…

A: case-i according to question  step-1  select any two digit number let the two digit number be 74…

Q: The first 5 multiples of 16 after 0 are

A: The multiples of 16 are given by,                                    16×k,  where k is an integer…

Q: The formula N= 3x² + 5x + 1 represents the number of households N, in thousands (i.e. if the number…

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Q: For how many values of n is the sum 1 + 2 + · • + n not divisible by n if 1 ≤ n < 100?

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Q: 2. FIl in the blanks to explain how to solve 3/51/10. You can use a common denominator and rewrite…

A: 35÷110 Now, 35=3·25·2=610 Now, 610=6110 Therefore there are six 110s in 610. Hence 35÷110=6.

Q: By using the direct proof: "Sum of two odd numbers is an even number"

A: To proove: Sum of two odd numbers is an even number.

Q: To = 5; 2Tn = nTn-1+3 n!, for n>

A: *Answer:

Q: All rational number are real numbers. 1/2 is a fraction number there fore 1/2 is real numbers .  Q…

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Q: Show all your work to get credit 7 Find a formula for l, where m is a positive integer.

A: To find - Find a formula for ∑s=1ms3, where m is a positive integer.

Q: A collector purchased a rare coin for $100.  After the purchase, the coin’s value increased by…

A: Given that, after the purchase, the coin's value increased by 10.25% per year for first x years and…

Q: 2) Express 100C50 as a sum of two terms from Pascal's triangle.

A: Let us find thatThe  100C50 as a sum of two terms from Pascal's triangle.we know that the formula of…

Q: 3. The numerator of a fraction exceeds the denominator by 1. If 7 is added to the numerator and 2 to…

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Q: Let an be the n th digit after the decimal point in 57 + 8e. Evaluate an(.1)". n=1

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Q: True or False Any nonzero integer divided by 0 equals 0.

A: False

Q: 25. the sum of the first 100 positive odd numbers

A: Formula for the arithmetic progression is Sum=n2a+Tn where,  a=first term n=total number of terms.…

Q: A store sells cashews for $5.00 per pound and peanuts for $2.00 per pound. The manager decides to…

A: Let x pounds of cashews should be mixed with the peanuts . Then The volume of mixture is (60+x)…

Q: 17) Use inductive reasoning to conjecture the rule that relates the number you selected to the final…

A: Use the inductive reasoning and form a conjecture: Let us choose the numbers 2, 10, 23 and 45 and…

Q: A positive integer is 4 less than another. If 3 times the reciprocal of the smaller integer is…

A: We have to solve

Q: Stretch Three positive integers have a sum of 10. How can you place the integers in the square…

A: Sum to3 positive integer is 10

Q: Abby notices that for the first twenty perfect​ squares, each square is either a multiple of​ 5, one…

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Q: Show that arrangement of odd and even numbers can be rearrange in this ratio 2^n:2 where n=0, 1,…

A: Show that: Arrangement of odd and even numbers can be rearrange in this ratio:…

Q: 3.) An airplane takes off and then climbs 2600 feet. After 25 minutes, it descends 150 feet. What is…

A: Please note that as per our guidelines if multiple questions are posted, we can answer the first…

Q: 1. A bicyclist rode a distance of 24 miles in 48 minutes. What was the average rate of the bicyclist…

A: Refer to the question part 1. As the bicyclist rode a distance of 24 miles in 48 minutes.Convert 48…

Q: How far did they calculate out before making that decision … 1000 places ….10, 000 places? How many…

A: Given: To explain the given statement as follows,

Q: Find the sum of the first 12 terms without adding them all up. Explain your reasoning and show your…

A: follow next step

Q: Find the sum of all the odd numbers between

A: Given,            Sum of all odd numbers between 21 and 355 inclusive.To find : Find the sum.We know…

Q: Find the difference between the maximum and minimum of the quantity p2q2/50, where p and q are two…

A: Given:    p + q = 10    Let f = p2q2 / 50

Q: Please help me to write this as a proof.  Let n be an integer. If n is the sum of three consecutive…

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Q: f repetition is not allowed and must not leading with a zero, how many different four digit numbers…

A: we have to find the no of many different four digit numbers.

Q: Suppose you divide a natural number n by a positive rational number less than 1. Will the answer…

A: Take a rational number x=p/q such that x belong to (0,1)

Q: same radius, 4. The height of the cylinder is equal to the diameter of the sphere. Select the…

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Q: A boy imagined four-digit multiple of 5 with different digits. If the first digit is erased, the…

A: Given that  A boy imagined four digit number If the first digit is erased the obtained number is a…

Q: How many different five-digit numbers can be formed using only the digits of the number 75, 226,…

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Q: 1. Can you show how to calculate the sum of all odd numbers that are greater than 325 and less than…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: express 10 as sum of two primes

A: 10 can be expressed as the sum of 7 and 3  i.e., 7+3=10

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

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Q: (b) Use Newton's method to construct a sequence of rational numbers con- verging to √2. Google…

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Q: How does the serie from n=1 to infinity of 5/9+2^n simplify into (5/9 +2^n)? Why is it not simplify…

A: Given the series ∑n=1∞59+2n is simplied into ∑n=1∞59+2n the expression ∑n=1∞59+2n and ∑n=1∞59+2n are…

Q: lity to determine how many terms of the Maclaurin ser |x| < 0.1 with error less than 0.0001.

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Q: A store sells cashews for $5.00 per pound and peanuts for $2.00 per pound. The manager decides to…

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Q: A submarine descends to a depth of 600 feet below the surface in 11 minutes. At this rate, what…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.