# prime

1,433 results, page 11

1. ### math ( Terminology )

The " lumper " of a number is equal to the sum of all the prime numbers less than that number. If the lumper of x is equal to the lumper of x + 3, which of the following is a possible value of x ? a. 7 b. 8 c. 9 d. 10 e. 11 please answer and explain
2. ### Philosophy

1. Determine whether the following arguments are valid or invalid. If valid determine whether they are sound. Be sure to explain what validity is and how you determine whether an argument is valid or not. Explain your answers in as much detail as you can. There is no length ...
3. ### math

Factor: x^3 - 3/4x - 1/4 The answer is: (x - 1)(x + 1/2)^2 How do I learn to do that? I'd like to reread an appropriate chapter from an appropriate textbook and do practice problems. It takes experience and practiced eye. Algebra books have chapters on factoring; ask your ...
4. ### Math 1

The number 2 is chosen to begin a ladder diagram to find the prime factorization of 66. What other numbers could have been used to start the ladder diagram for 66? How does starting with a different number change the diagram?
5. ### math

Form a disjunction from the following two statements and determine if the disjunction is true or false. Two is an even number. Two is a prime number.
6. ### calculus

1.) values of f(t) are given in the following table: t 0 2 4 6 8 10 f(t) 137 112 88 68 49 34 a. Does this function appear to have a positive or negative first derivative? Second derivative? * I think both derivatives are negative b. Estimate (f prime) f^' (2) and f^' (8) ...

Find d^2y/dx^2 by implicit differentiation. x^(1/3) + y^(1/3) = 4 I know that first you must find the 1st derivative & for y prime I got 1/3x^(-2/3) + 1/3y^(-2/3) dy/dx = 0 Then for dy/dx I got dy/dx = [-1/3x^(-2/3)] / [1/3y^(-2/3)] I think that from here I would use the ...
8. ### History

In 1938, British Prime Minister Chamberlain declared a final act of appeasement A. immediately following the Nazi occupation of Austria. B. when Hitler's claim on the Sudetenland was accepted. C. after Hitler's forces occupied the Rhineland. D. after Hitler attacked Poland.
9. ### Bloemhof Gekombineerde Skool

Twenty cards are numbered from 1 to 20. The cards are shuffled and then placed face down on the table. A card is drawn random. What is the probability that the number on this card is: a) 14 b) an even number c)less than 11 d)divisible by 5 e)a prime number f)22 ?
10. ### Algebra -polynomial

Solve the polynomial 40x^2+2x-65 Notice that for x = 1 the value is -23. The number 23 is a prime number and the only factors are thus 23 and 1 up to signs. So, you can simply the search for the factors of the polynomial a great deal by substituting: x = 1 + t which yields 40 ...
11. ### Weight Record

Who is the heaviest person in history and what was his/her peak weight? I have heard that the record is held by a woman named Carol Yager, who weighed 1,800 lbs in her prime. What would a person need to do if they wanted to break this record?
12. ### Sigma over Phi

Let σ(n) be the sum of the positive divisors of an integer n and ϕ(n) be the number of positive integers smaller than n that are coprime to n. If p is a prime number, what is the maximum value σ(p)/ϕ(p)?
13. ### math

let A be defined as the set of all two digit integers that are more than 20 and let P be defined as the set of all prime numbers .how many numbers are there that belong to both these sets? 1.13 2.17 3.21 4.25 explain the ans please
14. ### Pre Calc

To find the number of factors of a number, you get the prime factors and add one to each exponent, then multiply all the exponents. I know how to get that, but I am wondering why you add one. Mathmatical explanation? Can anyone help?

x and y are positive real numbers that satisfy log(base)x y + log(base)y x = 17/4 and xy=288√3. If x+y=a+b√c, where a, b and c are positive integers and c is not divisible by the square of any prime, what is the value of a+b+c?
16. ### math

Cruz and his friend, Penny need to determine what numbers are prime and what numbers are composite for homework assignment. Cruz says that the number 5 is a composite number because it has the factors 2 and 2.5. Explain what is wrong with his reasoning
17. ### mathematics

Let σ(n) be the sum of the positive divisors of an integer n and ϕ(n) be the number of positive integers smaller than n that are coprime to n. If p is a prime number, what is the maximum value σ(p)ϕ(p)?
18. ### maths

Let σ(n) be the sum of the positive divisors of an integer n and ϕ(n) be the number of positive integers smaller than n that are coprime to n. If p is a prime number, what is the maximum value σ(p)ϕ(p)?
19. ### Maths

The product of two positive integers plus their sum is 95. The integers are relatively prime, and each is less than 20. What is the sum of the two integers?
20. ### Maths

Consider all 3-term geometric sequences with first term 1 and with common ratio the square of an integer between 1 and 1000. How many of these 1000 geometric sequences have the property that the sum of the 3 terms is prime?
21. ### algebra

Consider all 3-term geometric sequences with first term 1 and with common ratio the square of an integer between 1 and 1000. How many of these 1000 geometric sequences have the property that the sum of the 3 terms is prime?
22. ### math

Let R be a relation on A={2,3,4,6,9} defined by "x is relatively prime to y", that is the only positive divisor or x and y is 1. a)write R as an ordered pair b)Draw a diagraph representing R c)Find the in-degree and the out-degree of each vertex d)List all paths of length 4 ...
23. ### maths

a bag contains three labelled A,R,C and a box contains 4 cards 1,2,3,5. if cards are picked from the bag and from the box, find the probability of picking on A and a prime number
24. ### math115

which numbers are prime numbers 37,39,41,43 answer 37,41,43 John spent 1/3 of his study time doing math homework and 3/5 preparing for a history exam what fraction of his study time remains? answer 1/15 Solve for the unknown 2/7/20=1.6/ranswer 112
25. ### gr.10 History

What were Robert Laird Borden's successes, failures and overall view of Canada? I know that he was the most successful Prime Minister,and I also know that he adopted conscription, and he was indispensable to the war effort. I don't know what his failures and overall view of ...
26. ### Math

Consider all 3-term geometric sequences with first term 1 and with common ratio the square of an integer between 1 and 1000 (inclusive). How many of these 1000 geometric sequences have the property that the sum of the 3 terms is prime?
27. ### geography

What lines of latitude determine the" tropics"? My answer is 23.5 degrees N and 23.5 degrees S latitude. Am I right? Please check me on one more! Why is Greenwich, England, so important to a geographer? My answer is -- Because the prime meridian runs through it. Am I right?
28. ### Math

Britney spears her grilled shrimp so the product of the numbers of shrimp is 1001. If the number of shrimp on each spear is a prime, how many shrimp does Britney spear altogether?
29. ### Communication

Hello! I need help with my research regarding-- Twitter being used as a prime source for real time news. Can anyone suggest a communication theory I can use for this study? I was thinking about using the agenda-setting theory, but I need another theory aside from that. :)
30. ### PRE-CALC

A number is selected at random from the set {2, 3, 4, … ,10}. Which event, by definition, covers the entire sample space of this experiment? A) The number is greater than 2. B) The number is not divisible by 5. C) The number is even or less than 12. D) The number is neither ...
31. ### Math

7.Simplfy (7+3)x2-5 15 8.When Henry went to the pet store, he noticed that there were 12 large fish tanks with goldfish. The store clerk told him that there were 107 goldfish in each tank how many were there in all 1,284 10.Which shows prime factorization of 75? A.5^3 B.3^2x5 ...
32. ### Calculus

Consider the equation: x^2 - 2xy + 4y^2 = 64 Write an expression of the slope of the curve at any point. (y^p)= y prime My work 2x - 2(xy^p + y) + 8yy^p = 0 2x -2xy^p - 2y + 8yy^p = 0 -2xy^p + 8yy^p = 2y -2x factored out y^p and then divided to get (2y - 2x) / (8y - 2x) Which ...
33. ### math, correction

Problem #1 Directions: Find the GCF for 14 and 21. My answer is: 7 Problem #2 Directions: List all the prime numbers between 25 and 60. My answer: 29,31,37,41,43,47,53,59 41 what do you mean by saying 41? I MEAN THAT'S 41 AND THAT IS SUPER -DUPER EASY, GOT IT LITTLE DUMB GIRL
34. ### Math

Please show your solution and how you did it. Thank you so much. 1.If x and y are positive numbers such that x^y=y^x and y =2012x, what is x? 2. What powers of two prime numbers will give a product of 1000...000(this sign --> { below the 1000...000 and below this { telling ...
35. ### maths

Equilateral triangle ABC has a circumcircle Γ with center O and circumradius 10. Another circle Γ1 is drawn inside Γ such that it is tangential to radii OC and OB and circle Γ. The radius of Γ1 can be expressed in the form ab√−c, where a,b ...
36. ### math

Equilateral triangle ABC has a circumcircle Γ with center O and circumradius 10. Another circle Γ1 is drawn inside Γ such that it is tangential to radii OC and OB and circle Γ. The radius of Γ1 can be expressed in the form ab√−c, where a,b ...
37. ### math

A) How many of the three digit numbers can be made from all of the digits, 1,3 and 7, and used only one each,are prime? B) What about 2,3 and 4? Once I get to know what the answer to the first one is, I'll figure out the second one myself.And then if I tell you what I got for ...
38. ### math

the lcm of two numbers is 60. one of the numbers is 20. the other number is even and has only two prime factors. what's the other number
39. ### Math

Hayley has 16 square boxes to make an array of rectangular shapes on a grid. Harry says if she uses 19 square boxes she will get more arrays. Do you aree or disagree with Harrys' claim? Explain your answer using prime and composite numbers. Use the drawings of the rectangles ...
40. ### heeeeeeelp geometry

In a triangle ABC, BK is an angle bisector. A circle with radius 5/3 passes through the vertex B, intersects AB at a point L, and is tangent to AC at K. It is known that the length of AC is 3√3, and the ratio of the lengths |AK| to |BL| is 6:5. The area of the triangle ...
41. ### English

each sentence contains an apposive phrase. Determine whether the appositive phrase is essential or non-essential. Mark the sentence that punctuates the appositive phrase correctly. 36. A. Ten feet of snow more than we had ever seen fell recently. *B. Ten feet of snow, more ...
42. ### English 11A

each sentence contains an apposive phrase. Determine whether the appositive phrase is essential or non-essential. Mark the sentence that punctuates the appositive phrase correctly. 36. A. Ten feet of snow more than we had ever seen fell recently. *B. Ten feet of snow, more ...
43. ### algebra

Megan factored the expression3x^2-23x+14 as (x-2)(3x-7) . But when Jacob applied the FOIL principle and multiplied out (x-2)(3x-7) , he got 3x^2-13x+14 ; thus, Megan’s solution does not appear to check. Why is that? Please help Megan to understand this better. Explain your ...
44. ### World Geography

REVIWE 1.Using up resources is one of the negative effects of A. the birth rate. B. the death rate.<<<<<<<<< C. the infant mortality rate. D. rapid population growth. 2. The Prime Meridian and other imaginary north-south lines measure A. longitude.&...
45. ### English

Hi I'm currently studying the Prime of Miss Jean Brodie (novel by Muriel Sparks) in a drama class. We're studying dramatic irony at the moment. In what ways is the reader more aware of what is happening than the characters are in the novel (i.e dramatic irony)?? Any help would...
46. ### ALGEBRA 2...

1. Simplify 2.3^5 log base 2.3^1 2. How do you solve this matrix using a graphing calculator AX=B A=9 -3 1 B=-7 X= x 1 1 1 -3 y 16 4 1 21 z 3. How many 4-digits numbers have the thousands digit equal to 2 and the units digit equal to 7? 4. If p and q are two different prime ...
47. ### Math

2.Which of the following is equal to )? A.6x2x(0x4) B.0/9+(6-0) C.20/20-0x3 D.5+6+(4+0) A 3.Julia went to Game Mart and purchased 5 used video games that were all the same price, and 6 memory cards that were \$6 each. Her total purchase was \$51. What was the cost of each video ...

A group of 45 tokens is arranged into three piles such that each pile contains a different prime number of tokens. What is the greatest number of tokens possible in any of the three piles? Thanks
49. ### math

Have 2 questions: 1. Factor Trinomial competely x^2 + 8x + 53 (reads as x squared plus 8x plus 53) I am thinking it is prime. 2. Solve 4x^2 + 23x - 30=0 (reads 4x squared plus 23x minus 30 equals zero
50. ### Math

The coach of a baseball team separates the players into groups for drills. Each group has the same number of players. Is the total number of players on baseball team prime or composite? Explain.
51. ### math

The coach of a baseball team separates the players into groups for drills. Each group has the same number of players. Is the total number of players on baseball team prime or composite? Explain.
52. ### Social Studies

In which hemisphere is North America located? NOrthern Hemisphere Which hemispheres contain parts of both the Atlantic and Pacific oceans North west south and east Which hemisphere contains all of Antarctica southern? What is the name of the line that separates the eastern and...
53. ### Math

A group of 45 tokens is arranged into three piles such that each pile contains a different prime number of tokens. What is the greatest number of tokens possible in any of the three piles?
54. ### bubba

Find the GCF of the numbers using an appropriate method. 240, 10,000, and 4500 Find the prime factorization of the number, and write it in exponent form. 670 Find the LCM for the given numbers by an appropriate method. 24, 54, and 27
55. ### math

Find the GCF of the numbers using an appropriate method. 240, 10,000, and 4500 Find the prime factorization of the number, and write it in exponent form. 670 Find the LCM for the given numbers by an appropriate method. 24, 54, and 27
56. ### Algebra

A three-digit number has the same hundreds, tens and units digit. The sum of the prime factors of the number is 47. What is the three-digit number?
57. ### math

I am a 4 digit number greater than 9,000 my omes digit is 3 and my hundreds digit is the smallest prime number greater than 5 the sum of my digits is 20. What number am i?
58. ### quiz

The vertices of a cube are labeled with the numbers 0,1,2,3,4,5,6 and 7, such that no two vertices are labeled with the same number. The sum of any 2 numbers on an edge is prime. What is the maximum sum of the 4 numbers on a face?
59. ### Maths

The vertices of a cube are labeled with the numbers 0,1,2,3,4,5,6 and 7, such that no two vertices are labeled with the same number. The sum of any 2 numbers on an edge is prime. What is the maximum sum of the 4 numbers on a face?
60. ### math

The numbers 1-10 are placed on cards, and the cards are put in a hat. If two cards are drawn, in order, without replacement, what is the probability that one number is even and the other a prime? I know there are 4 primes-2,3,5,7 and 5 even numbers 2,4,6,8,10 not sure how to ...
61. ### Science--3 questions? :c

15. The___hypothesis suggests that our solar system evolved from a huge rotating cloud of dust and gas. 16. Lines of____are used to measure distances east or west of the prime meridian in degrees. 17. The major difference between a topographic map and other maps is that a ...

For an experiement to test elastic collision, ball 2 was at rest and ball 1 was released from a certain height and distance and hit ball 2. A set of measurements were collected which was v1 and v2 prime for each ball. I need to calculate the kinetic energy before and after ...
63. ### algrbra

1. David recently had a garage sale and has amassed a pile of change. How many of each coin (penny, nickel, dime, quarters) does he have if: a.There is at least 5 pennies, 5 nickels, 5 dimes and 5 quarters b.There is only a prime number of each coin c.The total value is \$5.75 ...
64. ### Probability

A card is drawn from a standard deck of cards. Find P(A U B) in each part. A= {getting a heart}, B= {getting an even number} A= {getting a club}, B= {getting a red card} A= {getting an ace}, B= getting a black card} A= {getting a prime}, B= {getting a diamond} Can you please ...
65. ### differentiability

If g is a differentiable function such that g(x) is less than 0 for all real numbers x and if f prime of x equals (x2-4)*g(x), which of the following is true? A. f has a relative maximum at x=-2 and a relative minimum at x=2, B. f has a relative minimum at x=-2 and a relative ...
66. ### algebra

Megan factored the expression 72x^2-43x+6 as (9x-3)(8x-2). But when Jacob applied the FOIL principle and multiplied out (9x-3)(8x-2), he got72x^2-42x+6; thus, Megan’s solution does not appear to check. Why is that? Please help Megan to understand this better. Explain your ...
67. ### Algebra

Megan factored the expression 72x^2-43x+6 as (9x-3)(8x-2). But when Jacob applied the FOIL principle and multiplied out (9x-3)(8x-2), he got72x^2-42x+6; thus, Megan’s solution does not appear to check. Why is that? Please help Megan to understand this better. Explain your ...
68. ### Intermediate Algebra

Andrews factored expressions -6x63+9x^2-3x as -3x(2x^2-3x-1). But when Melissa applied the distrubutive law and multiplied out -3x(2x62-3x-1) she got -6x^3+9x^2+3x;thus Andrews solution does not appear to check. Why is that? Please help Andrews to understand this better, ...
69. ### math

2x3x5x8x11= with a 2 on top of 2 and a 4 on top of 5 and 2 on top of 11 is this a factorization a prime factorization
70. ### History

What is the importance or effect of these 1. France is a latecomer in the scramble for New World real estate. 2. French Catholic missionaries, notably the Jesuits, labored zealously to save the Indians for Christ and from the fur-trappers. 3. William Pitt, the elder, becomes ...
71. ### Math

The product of my numerator and my denominator is divisible by 2 .my denominator and my numerator differ by 3. My numerator is an even number .my denominator is a prime number.I am:______
72. ### maths

If an event A.implies obtaining prime number of an event B.implies obtaining an odd number in a single throw of a dice. Find the probability of event A or B.
73. ### algebra

A pair of emirps consists of two prime numbers such that reversing the digits of one number gives the other. How many pairs of two-digit emirps exist such that each number in the pair is greater than 11?
74. ### physics

a pieces of metal of mass 3.6kg is suspended from a spring balance, what is the reading of spring balance in newton, with a metal in air, with the metal in water, the metal in prime and what is the density in which it gives a reading of 33newton

1.) values of f(t) are given in the following table: t 0 2 4 6 8 10 f(t) 137 112 88 68 49 34 Estimate (f prime) f^' (2) and f^' (8) Please show work so I can understand. I'm really stuck. if the table comes out messed up, the values are: (0, 137) (2, 112) (4, 88) (6, 68) (8, ...
76. ### Science help?

On the global grid, the prime meridian is at _____. 0 degrees latitude 90 degrees latitude 0 degrees longitude 90 degrees longitude
77. ### math

Laurel appears at Comedy Cafe at a random time between 1:00 and 2:00. Hardy turns up at a random time between 2:00 and 2:30. The probability that Laurel waits for no more than 40 minutes for Hardy can be expressed in the form m/n, where m and n are relatively prime positive ...
78. ### math

line xy is translated 3 units to the left. if a point on line xy is located at (2,11), where would the equivalent point be on line X and Y prime? a)(2,14) b)(2,8) c)(-1,11) d)(5,11) I think the answer is c. What I did is move the point 3 units to the left and and subtracted 3 ...
79. ### math

I am a prime number. I am less than 40. I am 1 more than a multiple of 5. What number am I? I am a 2 digit number. My ones digit is 2. My tens digit is even. I am between 30 and 70. what number am i? I think either 42 or 62. I am a square number. I am more than 50. My digits ...
80. ### Math (LCM)

A music store gives every 20th customer a \$5 gift card. every 50th customer gets a \$10 gift card. Which customer will be the first to receive both types of gift cards? Use prime factorizations.
81. ### Math

The table shows the results of an election. Which student received the median number of votes? Ansari=108 Fidel=89 Denisa=175 Mikhail=92 Alex=130 A.Ansari B.Fidel C.Alex D.Mikhail A? Which lists all the factors of a prime number? A.1,2,4,8 B.1,13 C.1,3,7,21 D.1,3,5,15 B?
82. ### managerial economics

Explain how the following events might affect the market demand curve for prime filet mignon a. A fall in price of filet mignon because of decline in cattle prices b. A general rise in consumer's income c. A rise in the price of lobster d. Increased health concerns about ...

What is the denominator of 13/107 in simplest form?PLz help! I think its just 107 Thanx dude! no problem does 13( a prime number) go evenly into 107? It appears to be in simplest form already to me.. no, your answer will have a decimal 13/107 is in simplest form
84. ### Math

Take a four digit number (abcd) and repeat it to make an eight digit number (abcdabcd). This eight-digit number always has at least three different prime factors, unless you start with a certain four-digit number. Which number is it?
85. ### Math

Take a four digit number (abcd) and repeat it to make an eight digit number (abcdabcd). This eight-digit number always has at least three different prime factors, unless you start with a certain four-digit number. Which number is it?
86. ### Just can't get it.

Factor completely or state that this is prime (cannot be factored) 2y^4 + 28y^3 + 98y^2 Note: x^2 is x-squared (that is, x with the superscript 2), etc. 2y^4 + 28y^3 + 98y^2 = 2 y^2 (y^2 + 14 y + 49) The last expression (in parentheses) is a perfect square, and can be factored...
87. ### math

Prove that if p is a prime number and p is not equal to 3, then 3 divides p^2 + 2. (Hint: When p is divided by 3, the remainder is either 0,1, or 2. That is, for some integer k, p = 3k or p = 3k + 1 or p = 3k + 2.) I thought you might do three cases with the three values of p ...
88. ### data management

In a simple card game, Player A wins a point if either a face card, a red prime number, or a black perfect square number is drawn from a standard deck. Otherwise, Player B wins a point. Assume aces do not count as 1s.
89. ### Discrete Math

Let n be positive integer greater than 1. We call n prime if the only positive integers that (exactly) divide n are 1 and n itself. For example, the first seven primes are 2, 3, 5, 7, 11, 13 and 17. (We should learn more about primes in Chapter 4.) Use the method of exhaustion...
90. ### Prob and stats

A card is to be chosen at random from a shuffled deck. Find the probability the card drawn is A. The queen of clubs , given that it is an honor card B. a red four, given that the face number is even C. A seven, given that the face number is prime Please help me, thanks :)
91. ### Math

I need help with these problems for a test. 1. Find the inverse of the one-to-one function. f(x)=5x+1/4. 2. The height of the water, H, in feet, at a boat dock t hours after 7 am is given by E=7+4.4cos pi/35 t, where t is time measured in seconds. Find the period. 3. Solve the...
92. ### math

Please check my answers Would you be more likely to get at least 70% tails if you flip a fair coin 10 times or if you flip a fair coin 1000 times? same Consider a bowl containing 36 different slips of paper. Ten of the slips of paper each contain one of the digits from the set...
93. ### math

i am a 6-digit number greater than 700,000.my hundred thousands digit is twice my ones digit,my thousands digit,and my hundreds digit.my remaining digits are the same-a prime number greater than 5
94. ### Math

I have a question that I answered and I'm not sure that it is right. Here is my question: Use a calculator to help you write the prime factorization of 51,051. Here is my answer: If the sum of the digits of the number is divisible by 3, then 3 is a factor of the number. ...
95. ### math

Andrew factored the expression 54x^3-30x^2+15x as 5x(9x^2-6x+3) but when Melissa applied the distributive law and multiplied out 5x(9x^2-6x+3). she got 45x^3-30x^2+15x. thus andrew's solution does not appear to check. why is this? eplain your reasoning and correctly factor the...
96. ### algebra

Andrew factored the expression 54x^3-30x^2+15x as 5x(9x^2-6x+3) but when Melissa applied the distributive law and multiplied out 5x(9x^2-6x+3). she got 45x^3-30x^2+15x. thus andrew's solution does not appear to check. why is this? eplain your reasoning and correctly factor the...
97. ### Algebra

Megan factored the expression -12x^2 +52x-35as (-2x+5)(6x-7). But when Jacob applied the FOIL principle and multiplied out (-2x+5)(6x-7), he got -12x^2+44x-35; thus, Meganâ€™s solution does not appear to check. Why is that? Please help Megan to understand this better. ...
98. ### social studies (check plz)

Which statement best describes the government of Canada? The monarch of Britain has total control over Canada. The Canadian parliament is ruled by the United States. Canada has complete power over its own government(MY ANSWER) The prime minister is the monarch of Canada.
99. ### goegraphy

the ___ is meant by the term relative location. A)exact spot at which a place is found on the globe B) location of a place in relation to other places. i choose b. C)location of a place unrelated to other places d)distance of a place from the prime meridian
100. ### Math

Ayeshe was given 3 clues concerning the value of a mystery fraction. The clues she was given are shown below. 1) I am a fraction between 1/5 and 1/4 2) My numerator is a prime number less than 10. 3) My denominator is 10 more then my numerator. What is the mystery fraction? ...
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