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# Recent problems solved by 'fcabanski'

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 test/750451: How do you convert angle measures from degrees to radians or vise versa ?1 solutions Answer 456583 by fcabanski(874)   on 2013-05-19 15:54:54 (Show Source): You can put this solution on YOUR website!Radians * 180/pi = degrees. degrees * pi.180 = radians. Do not use the value of pi. Use "pi". For example 30 degrees = 30*pi/180 = pi/6 radians. pi/2 radians = pi/2 * 180/pi = 90 degrees. Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)
 Rational-functions/750455: (8)/(x+4)1 solutions Answer 456582 by fcabanski(874)   on 2013-05-19 15:51:46 (Show Source): You can put this solution on YOUR website!It's not an equation so you can't solve it. What is the question?
 logarithm/749847: As a Single Log: log b (9) - log b (8)1 solutions Answer 456178 by fcabanski(874)   on 2013-05-17 11:41:47 (Show Source): You can put this solution on YOUR website!log(basex)y - log(basex)z = log(basex)y/z log b (9) - log b (8) = log b (9/8) Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)
 Expressions-with-variables/749849: 1.Which property is illustrated by this example? 7x1=7 A.Associative B.Distributive C.Multiplication Property of Zero D.Identity Which property is illustrated by this example? (3 +4) + 6 = 3 + (4 + 6) A.Distributive B.Identity C.Commutative D.Associative1 solutions Answer 456177 by fcabanski(874)   on 2013-05-17 11:40:17 (Show Source): You can put this solution on YOUR website!7x1=7 : The identity property of multiplication is the product of one and any number or variable is the number or variable. x * 1 = x. This is the identity property. (3 +4) + 6 = 3 + (4 + 6) - Associative property of addition - grouping doesn't matter when adding numbers. Remember it this way - it doesn't matter which numbers associate (share ()) with other numbers.
 Angles/747720: The measure of each interior angle of a regular quadrilateral is? The measure of the supplementary angle of an interior angle is? 1 solutions Answer 455086 by fcabanski(874)   on 2013-05-12 01:52:42 (Show Source): You can put this solution on YOUR website!The sum of interior angles in a quadrilateral is (n-2)*180 where n is the number of sides. (4-2)*180 = 360. In a regular quadrilateral all four interior angles are equal. 360/4 = 90. Supplementary angles have a sum of 180. So the angles supplementary to each of these interior angles are 90 degrees.
 test/747575: Please help me solve this equation: Solve for x: Log x 18=21 solutions Answer 454979 by fcabanski(874)   on 2013-05-11 14:05:22 (Show Source): You can put this solution on YOUR website!log(base x) y = z means
 Travel_Word_Problems/746411: if car A is traveling at 88mph and car B passes car A and gets two miles ahead of it. How fast is car B moving?1 solutions Answer 454249 by fcabanski(874)   on 2013-05-08 12:56:13 (Show Source): You can put this solution on YOUR website!How long does it take B to get 2 miles in front of A?
 logarithm/746408: When the east coast and Japan experienced that earthquake a couple years ago, what role did logarithms play?1 solutions Answer 454248 by fcabanski(874)   on 2013-05-08 12:55:39 (Show Source): You can put this solution on YOUR website!log base 10 is used to calculate the MMS rating of an earthquake.
 logarithm/746405: how to solve for x exactly: log(x^2+19)=21 solutions Answer 454247 by fcabanski(874)   on 2013-05-08 12:52:54 (Show Source): You can put this solution on YOUR website!log(base y) (x) = z is the same as x = 9 or x = -9 Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)
 percentage/746404: Elsa bought a DVD player for \$104. the cost includes a 20% discount. What was the cost of the DVD player before the discount. please explain?1 solutions Answer 454246 by fcabanski(874)   on 2013-05-08 12:47:20 (Show Source): You can put this solution on YOUR website!When dealing with a discount % the formula is x*(1-D) = P where x is the original price, D is the discount %, and P is the new price. For this problem: x*(1-.2) = 104 .8x = 104 x = 104/.8 = 130 Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)
 Graphs/745619: if you need .75 pounds of cheese to top a pizza, and you have 4 pounds of cheese, will you have enough to make 6 pizzas? Write an inequality where p=pizzas i have no - p=4/.075<6 the - is under < -1 solutions Answer 453935 by fcabanski(874)   on 2013-05-06 14:48:12 (Show Source): You can put this solution on YOUR website!Your inequality is the amount of cheese on the pizzas is less than or equal to (<=) the total amount of cheese. The number of pizzas is unknown, so call it p. 6 is the number of pizzas for one sample situation, not for the general situation. In general the number of pizzas, p, times the cheese per pizza, .75, = the total cheese used. That must be less than or equal to 4. .75p <= 4 p <= 4/.75 <= 5.33 You can make 5 and 1/3 pizzas with 4 pounds of cheese. You don't have enough cheese for 6 pizzas.
 Proportions/745543: 1, 16, 4, 4 Write a proportion using the following numbers.1 solutions Answer 453931 by fcabanski(874)   on 2013-05-06 14:43:03 (Show Source): You can put this solution on YOUR website!A ratio is a fraction x/y. A proportion is ratios that are equal x/y = w/z. 4/16 = 1/4
 Rectangles/745024: ABC is an isosceles triangle. The angles A and B are equal to each other, and the angle C is 38 degrees. what are the angles of A and B1 solutions Answer 453671 by fcabanski(874)   on 2013-05-05 02:05:38 (Show Source): You can put this solution on YOUR website!The sum of a triangle's internal angles is 180 degrees. 180-38 = 142 A and B are the same, so each one equals 142/2 = 71 degrees.
 �t�e�s�t/744746: Find the sum of the odd integers between -39 and 91 including them, that is, -39+(-37)+(-35)+....+49+911 solutions Answer 453564 by fcabanski(874)   on 2013-05-04 03:14:46 (Show Source): You can put this solution on YOUR website!The sum of -39 ...+39 = 0. -39 + 39 - 0. -37 + 37 = 0 etc. This is the sum of odd integers from 41 to 91. The sum of n odd integers is The number, n, of odd positive integers from 0 up to a certain odd integer is ((that integer - 1)/2) + 1. For example, the number (n) of odd integers from 0 to 9 is ((9-1)/2) + 1 = 5. The odd integers from 0 to 9 are 1, 3, 5, 7, 9 - there are five. The number of odd integers from 0 to 91 is 91-1 = 90/2=45 + 1 = 46. . Subtract the sum of odd integers from 0 to 39 (because those summed to 0 when added to -1, -3...-39). There are (39-1)/2 = 19 + 1 = 20 odd integers from 0 to 37. The sum of all odd numbers from 0 to 91 - the sum of all odd numbers from 0 to 39 is the sum of odd numbers from 41 to 91. It is 2116-400 = 1716.
 Quadratic_Equations/744560: Show that the quadratic function can be written in the form where the point (h,k) is the vertex of the parabola an and Substitute the algebratic expressions for h and k into the general equation and transpose for y1 solutions Answer 453357 by fcabanski(874)   on 2013-05-03 04:40:34 (Show Source): You can put this solution on YOUR website! Substitute the values for h and k> FOIL Distribute a Cancel where possible Add c to both sides. Subtract from both sides. Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)
 Trigonometry-basics/744305: Using the angle difference identity to find the exact value of cos225. I have come up with (-sqrt2)/2. Is this correct? Please help! 1 solutions Answer 453246 by fcabanski(874)   on 2013-05-02 14:01:03 (Show Source): You can put this solution on YOUR website!Use the sum and difference identities to express the trig functions in terms of the functions most people memorize (30, 45, 60, 90, 180, 270, 360). cos(A+B) = cosA*cosB - sinA*sinB cos(225) = cos(180+45) = cos(180)*cos(45) - sin(180)*sin(45) = -1* - 0* =
 Money_Word_Problems/744297: Christopher recently won \$20,000 in the lottery and decides to save his money in a unique way. He saves \$1.00 on the day after he won the lottery. He then saves twice as much as he did the previous day for a total period of two weeks. How much does Christopher have saved by the end of this time period1 solutions Answer 453244 by fcabanski(874)   on 2013-05-02 13:51:33 (Show Source): You can put this solution on YOUR website!Start with a simple example. What if he saved for only three days? It would be \$1, \$2, \$4. It looks like where n is the number of days. But which is twice the savings on the first day. Adjust the formula to - that gives on the third day which is correct. A period of two weeks is 14 days.
 Linear-equations/744136: The slope of the linear equation: y= -(1/2)x + 7 1 solutions Answer 453215 by fcabanski(874)   on 2013-05-02 02:54:46 (Show Source): You can put this solution on YOUR website!The slope intercept form of a line is y=mx+b where m is the slope. For y=(-1.2)x +7 the slope is -1/2.
 Average/743106: Once the lowest grade is dropped, what score does the following student need to score on the final exam to earn an A- for this course? ( 90% = A- ) Module 9 – 72% Module 10 – 86% Module 11 – 90% Module 13A – 87% Module 13B – 92% Module 14 – 88% Word Problem Score – 94% Final Exam - ? 1 solutions Answer 452763 by fcabanski(874)   on 2013-04-29 13:49:14 (Show Source): You can put this solution on YOUR website!Drop the 72. This is an average problem: avg = sum/(# of numbers). Call the final exam grade x since it's unknown. AVG = 90 = (86+90+87+92+88+94+x)/7 90 = (893+x)/7 630=537+x 93=x If the question asked what was the needed score to earn at least an A-, then the answer would be: 93 <= x Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)
 Angles/743105: the angles of a pentagon measure x, x2, x3, x4, and x5. what is the measure of the smallest angle?1 solutions Answer 452761 by fcabanski(874)   on 2013-04-29 13:42:12 (Show Source): You can put this solution on YOUR website!The internal angles of a polygon = (n-2)*180 where n is the number of sides. n=5, so in a pentagon the internal angles are (3)*180 = 540 degrees. x+2x+3x+4x+5x = 540 15x=540 x=36. The smallest angle is x = 36 degrees. Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)
 Exponents/742959: These are suppose to be simplified and there are not suppose to be any negitives. These two are very similar and I do not understand how they can be solved differently. a. 1 b. 1 ___ ____ x^1/2 x ^-(1/2)1 solutions Answer 452700 by fcabanski(874)   on 2013-04-29 02:23:56 (Show Source): You can put this solution on YOUR website!Never leave a radical (in this case a square root or 1/2 power) in the denominator. Multiply the fraction by the denominator over itself. For remember that
 sets-and-operations/742962: 2=6 3=12 4=20 5=30 6=42 9=?? I think the answer is 56 and my husband says 90. Who's correct?1 solutions Answer 452698 by fcabanski(874)   on 2013-04-29 02:17:28 (Show Source): You can put this solution on YOUR website!Both of you are correct. A sequence can have multiple rules as long as the rules make sense. 56 is correct if the rule is "The left number is given, and the right number is the next even number greater than the last right number." 90 is correct if the rule is "this sequence is x on the left and y on the right (of the =) where y=x*(x+1)"
 Trigonometry-basics/742974: simplify the square root of 27 over the square root of 751 solutions Answer 452697 by fcabanski(874)   on 2013-04-29 02:09:48 (Show Source): You can put this solution on YOUR website!Find perfect square factors of the number inside the square root. Then pull out the square root of the perfect square factor.
 Polynomials-and-rational-expressions/742494: What is a polynomial with a single root at x = -6 and a triple root at x = -1?1 solutions Answer 452545 by fcabanski(874)   on 2013-04-27 17:52:06 (Show Source): You can put this solution on YOUR website!When a root is at x=a then the factor is x-a. So for x=-6 the factor is x+6, and for x=-1 the factor is x+1. Multiplicity 3 means there are three factors (x+1). Multiply the factors together to see the polynomial. (x+6)(x+1)(x+1)(x+1) =
 Money_Word_Problems/742536: If an investment earns 9% compounded continuously, how much should you deposit now to have 25,000 (A) 36 months from now?     (B) 9 years from now? I'm sorry if this has already been answered, but I couldn't find a similar problem... Thanks!1 solutions Answer 452542 by fcabanski(874)   on 2013-04-27 17:40:05 (Show Source): You can put this solution on YOUR website!Is the interest rate an annual rate? The formula for compound interest is where P is principal amount, r is the annual rate, t is the time in years, A is the amount after that time, and e is the constant approx. 2.71828183 To find P...apply some algebra: A. 36 months is 3 years. = \$19,084.49 B. 9 years: = \$11,121.45
 Money_Word_Problems/742538: ANNIEDA HAS 200 DOLLARS,HOW BEST CAN SHE INCREASE THIS PRINCIPAL.1 solutions Answer 452536 by fcabanski(874)   on 2013-04-27 17:32:15 (Show Source): You can put this solution on YOUR website!What are the options?
 Percentage-and-ratio-word-problems/742486: I get stuck on stupid when it comes to word problems can someone please help me with the following problem? The daily largest newspaper is about 1.67 million The third largest is 1.08 million Express the relative differnce using a percentage. Then use the second given value as the reference value1 solutions Answer 452512 by fcabanski(874)   on 2013-04-27 16:05:14 (Show Source): You can put this solution on YOUR website!You can express the difference as the % difference compared to the larger newspaper, and as the % difference compared to the smaller newspaper. In general the % difference is difference/original x 100. % difference of the larger paper is (1.67-1.08)/1.67 x 100 = .59/1.67 x 100 = 35.33%. % difference of the smaller paper is .59/1.08 x 100 = 54.63%
 Triangles/741823: What must I show to prove the theorem given below?: The median drawn to the base of an isosceles triangle bisects the vertex angle. (Basically, picture an isosceles triangle with sides AB and AC congruent, and X bisects the triangle, cutting it in half, so that BX is congruent to XC.) 1 solutions Answer 452160 by fcabanski(874)   on 2013-04-25 13:54:07 (Show Source): You can put this solution on YOUR website!AB is congruent AC - Definition of an Isosceles triangle BX is congruent to XC - Definition of a bisector AX = AX - Reflexive property of equality (draw lines over the AX) AX congruent to AX - definition of congruent. Triangle ABX congruent to triangle ACX - SSS Angle BAX congruent angle CAX - CPCTC (corresponding parts of congruent triangles are congruent AX bisects angle BAC - Definition of angle bisector. Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)
 Graphs/741822: Please tell me if my answers are correct. question #1 find w if √(w) + 9 =25 I have 256 Thanks so much! 1 solutions Answer 452159 by fcabanski(874)   on 2013-04-25 13:46:38 (Show Source): You can put this solution on YOUR website!Your answer is correct. w = 256
 Polygons/741819: If a certain measurement of a polygon is 612 in2, it means:? Can I please have help solving this? I tried answering it but I can only think that it is squared.1 solutions Answer 452158 by fcabanski(874)   on 2013-04-25 13:45:19 (Show Source): You can put this solution on YOUR website!Volume involves three dimensions, so it's in cubic units. Area involves two dimensions (for example l x w in a rectangle), so it's in square units. is in square units, so it's an area - surface area of a solid (like a cube or sphere) or area of a 2D figure (like a square or circle). Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)