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Recent problems solved by 'Earlsdon'

Earlsdon answered: 6281 problems
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Functions/585520: Express using positive exponents x-4 1 solutions Answer 373382 by Earlsdon(6287)   on 2012-03-11 18:10:55 (Show Source): You can put this solution on YOUR website! Is that ?

Triangles/585516: a diagonal of a square is 6 inches long. find its permiter and its area. 1 solutions Answer 373379 by Earlsdon(6287)   on 2012-03-11 18:09:31 (Show Source): You can put this solution on YOUR website! Apply the Pythagorean theorem: The diagonal (6 inches) of the square is the hypotenuse of a right triangle whose legs are s and s. Simplify. Divide by 2. Take the square root. Simplify. Perimeter (P): inches. and... Area sq.in.

Numbers_Word_Problems/585512: when the sum of 8 and 18 times a positive number is subtracted from the square of the number, zero results Is this how I would set it up? w^2-8w+18=0 1 solutions Answer 373376 by Earlsdon(6287)   on 2012-03-11 17:59:45 (Show Source): You can put this solution on YOUR website! Not quite! If w = the number, then: Simplify.

Inequalities/585453: Another factoring question; 54-2x^3 1 solutions Answer 373354 by Earlsdon(6287)   on 2012-03-11 16:10:36 (Show Source): You can put this solution on YOUR website! Factor: First, factor a -2. Now you have a difference of cubes.

Percentage-and-ratio-word-problems/585381: Joe has some pocket money. He spends three quarters of it. He has fifty pence left. How much pocket money did he have? 1 solutions Answer 373311 by Earlsdon(6287)   on 2012-03-11 12:47:33 (Show Source): You can put this solution on YOUR website! Let x = the amount of pocket money Joe had to begin with. Simplify. Multiply both sides by 4. Joe had 2 pounds.

Numbers_Word_Problems/585331: three times a particular number is equal to that same number plus eight. what is the number? 1 solutions Answer 373293 by Earlsdon(6287)   on 2012-03-11 11:44:21 (Show Source): You can put this solution on YOUR website! Let n = the number: 3n = n+8 Subtract n from both sides. 2n = 8 Divide by 2. n = 4 The number is 4.

logarithm/585345: how do you solve? 27^4x=9 1 solutions Answer 373289 by Earlsdon(6287)   on 2012-03-11 11:36:25 (Show Source): You can put this solution on YOUR website! Solve for x: Replace: and Simplify. The bases are equal so the exponents must be equal. Divide by 12. Simplify.

Square-cubic-other-roots/585340: if its 152 cm on 1 side of a square and the other side 87 cm what would be the answer? how would I get the answer? 1 solutions Answer 373287 by Earlsdon(6287)   on 2012-03-11 11:31:20 (Show Source): You can put this solution on YOUR website! If it's 152 cm on one side of a square and the other side is 87 cm, the answer is it is not a square!

logarithm/585342: how do you solve this: base is 10. log(6x-2)=3 1 solutions Answer 373285 by Earlsdon(6287)   on 2012-03-11 11:26:22 (Show Source): You can put this solution on YOUR website! Solve for x: Rewrite this in exponential form: ===> Add 2 to both sides. Divide both sides by 6.

logarithm/585350: How do you expand the logarithm? base is 7. log7 23/4 1 solutions Answer 373284 by Earlsdon(6287)   on 2012-03-11 11:19:11 (Show Source): You can put this solution on YOUR website! Using the quotient rule for logarithms:

logarithm/585346: What properties do you need to use to write expression as a single logarithm? base is 6. log6 16- log6 4 1 solutions Answer 373283 by Earlsdon(6287)   on 2012-03-11 11:16:09 (Show Source): You can put this solution on YOUR website! You'll need to apply the quotient rule for logarithms. which can be simplified to:

Polynomials-and-rational-expressions/583096: How do I factor this by grouping ? Thank you. 1 solutions Answer 372324 by Earlsdon(6287)   on 2012-03-06 14:04:21 (Show Source): You can put this solution on YOUR website! Factor by grouping: Group the terms as shown: Now factor from the first group and 3 from the second group. Now factor the common factor of () and we're done.

logarithm/582406: how we will find that ph=-log[h+] if ph=7 1 solutions Answer 372042 by Earlsdon(6287)   on 2012-03-05 12:12:07 (Show Source): You can put this solution on YOUR website! ph = -log[H+] Substitute ph = 7 7 = -log[H+] Divide both sides by -1. -7 = log[H+] Now rewrite this in exponential form. 10^(-7) = [H+] [H+] = 10^(-7) or [H+] = 0.0000001

Rational-functions/582413: Please tell me if these answers are correct: x/4=(x+1)/3 My answer x=-4 2/((x(^2)-1))= 4/(X+1) MY ANSWER X = 3/2 THANK YOU FOR HELPING WITH THIS! 1 solutions Answer 372041 by Earlsdon(6287)   on 2012-03-05 11:54:43 (Show Source): You can put this solution on YOUR website! 1) Multiply both sides by 4 then by 3. Subtract 3x from both sides. Finally, subtract 4 from both sides. or OK on this one! 2) Factor the denominator of the left side. Multiply the right fraction by The denominators are equal so the numerators must be equal. Simplify. Add 4 to both sides. Divide by 4. or... OK on this one!

Square-cubic-other-roots/582168: I don't get these directions : Determine the values for the variable that will make each expressions a real number. One of the problems is: The square root of 5y 1 solutions Answer 371963 by Earlsdon(6287)   on 2012-03-04 20:01:18 (Show Source): You can put this solution on YOUR website! If you were to make y = 5, then you would have: = or

Polynomials-and-rational-expressions/582093: Could anyone help me with factoring this? Please. If you have a real easy way to teach factoring I would be very thankful. If not and you help me with this, I still will be very thankful. Thanks!! 2w^4-26w^3-96w^2 1 solutions Answer 371962 by Earlsdon(6287)   on 2012-03-04 19:56:48 (Show Source): You can put this solution on YOUR website! Factor: Since each term has a common factor of you can factor this to start. To factor the trinomial, find two integers whose product is -48 and whose sum is -13. and so we get:

Expressions-with-variables/581524: the expression 4 cubed times 4 to the 5th power is equivalent to what 1 solutions Answer 371690 by Earlsdon(6287)   on 2012-03-03 12:21:55 (Show Source): You can put this solution on YOUR website! =

Surface-area/581512: what is the volume of a cone with a radius of 7 and a height of 9? can u please show how the answer was determined? 1 solutions Answer 371689 by Earlsdon(6287)   on 2012-03-03 12:20:08 (Show Source): You can put this solution on YOUR website! The volume of a cone is: Substitute and If you need a numerical answer, use as an approximation.

Miscellaneous_Word_Problems/581494: . Find the x- and y-intercepts for the equation. Please show all of your work. Then graph the equation. 2x – 4y = 1 1 solutions Answer 371682 by Earlsdon(6287)   on 2012-03-03 11:00:18 (Show Source): You can put this solution on YOUR website! Given: The x-intercept is found by setting y = 0 and solving for x. The x-intercept is (,). The y-intercept is found by setting x = 0 and solving for y. Divide by -4. The y-intercept is (,) To graph the equation, you need to find only two pointsand you have these two as they are the x- and y-intercepts. On a graph, just connect these two point with a straight line.

Surface-area/581499: how do I find the volume of a cylinder and a cone in terms of pi? 1 solutions Answer 371678 by Earlsdon(6287)   on 2012-03-03 10:47:37 (Show Source): You can put this solution on YOUR website! For a cylinder, the volume is: r = radius, h = height. For a cone, the volume is:

Polynomials-and-rational-expressions/581482: divide and simplify -7+7w/5 divided by 9w-9/25 I know I have to divide one by the other recipricol but I am getting frustrated and lost 1 solutions Answer 371674 by Earlsdon(6287)   on 2012-03-03 10:44:05 (Show Source): You can put this solution on YOUR website! divided by When diving fractions, you invert the second fraction and change the operation to multiply, so... Rewrite the numerator of first fraction: Cancel a 5. Now factor a 7 from the numerator of the first fraction and a 9 from the denominator of the second fraction. Cancel the 's Simplify. =

Rational-functions/576653: i don't understand how to do the problem z^2+6z+9/z^2-1z-12 Please help me simplify this? 1 solutions Answer 369952 by Earlsdon(6287)   on 2012-02-22 21:16:49 (Show Source): You can put this solution on YOUR website! Simplify: Factor the numerator and the denominator. Now cancel the ()'s as indicated leaving you with.

Polynomials-and-rational-expressions/576663: Please help me solve this equation. Step by step instructions please. I appreciate you for helping! You teachers are amazing for doing this. 1 solutions Answer 369947 by Earlsdon(6287)   on 2012-02-22 21:09:02 (Show Source): You can put this solution on YOUR website! Well, you can't solve this "equation" because it is not an equation! It's an expression. In an equation, you must have an equals (=) sign. Now if you meant to write: then you can solve this! Add 25 to both sides of the equation. Now take the square root of both sides. or Divide these by 2. or

Travel_Word_Problems/576648: If a stone is tossed from the top of a 290 meter building, the height of the stone as a function of time is given by h(t) = -9.8t^2 – 10t + 290, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundredth’s place; include units in your answer 1 solutions Answer 369941 by Earlsdon(6287)   on 2012-02-22 21:02:17 (Show Source): You can put this solution on YOUR website! Start with: When the stone hits the ground, h(t) = 0, so... Solve this quadratic equation using the quadratic formula: where: a = -09.8, b = -10, and c = 290. Evaluate. secs. or secs. Discard the negative solution as the time is a positive quantity. The stone will hit the ground after 4.95 seconds.

Rational-functions/575503: please help me solve this equation 3x^4-11x^2-20=0 1 solutions Answer 369500 by Earlsdon(6287)   on 2012-02-20 21:19:28 (Show Source): You can put this solution on YOUR website! Sometimes it simpifies things a bit by temporarily using a substitute variable: Temporarily let so now you have: Factor: Solve for y: or so... or Replace to get... or Taking the square roots, we get... or or or If you need your answers in approximate form, then... or or or Here's what the graph looks like:

Polynomials-and-rational-expressions/575453: what do you get when you factor 8a^3-125b^3 1 solutions Answer 369493 by Earlsdon(6287)   on 2012-02-20 20:48:39 (Show Source): You can put this solution on YOUR website! Factor: This is a difference of cubes: and it is factorable thus:

Age_Word_Problems/575077: John is 4 years older than Kate. In 7 years he will be twice as old as Kate was five years ago. What are their ages now? 1 solutions Answer 369369 by Earlsdon(6287)   on 2012-02-19 22:27:18 (Show Source): You can put this solution on YOUR website! Let J = John's present age and K = Kate's present age. J = K+4 "John is 4 years older than Kate." J+7 = 2(K-5) Substitute J = K+4. K+4+7 = 2K-10 K+11 = 2K-10 K = 21 and J = 25

Surface-area/575073: Find the expense at 60 cents a square foot of polishing the curved surface of a marble column in the shape of the frustum of a right circular cone whose slant height is 12 feet and the radii of whose bases are 3 feet 6 inches and 2 feet 4 inches respectively. 1 solutions Answer 369363 by Earlsdon(6287)   on 2012-02-19 22:16:52 (Show Source): You can put this solution on YOUR website! The lateral surface area (S) of a frustum of a right circular cone is given by: where: and are the radii of the top and bottom respectively and s is the slant height. Use } approximation. sq.ft. The cost of polishing, at $0.60 per square foot is: 226.08($0.60) = $135.65

Linear-equations/574774: Write an equation of the line containing the given point and parellel to the given line. Express your answer in the form y=mx+b. (-6,8); 8x=7y+4 1 solutions Answer 369293 by Earlsdon(6287)   on 2012-02-19 10:33:27 (Show Source): You can put this solution on YOUR website! You can start with the fact that parallel lines have identical slopes. Find the slope of the line given by the equation: 8x = 7y+4 Convert to slope-intercept form: So the slope is The new equation will start out as: y = (8/7)x+b Now find the value of b by substituting the x- and y-coordinates of the given point (-6, 8) 8 = (8/7)(-6)+b Simplify. 8 = -48/7 + b Solve for b. b = 8+48/7 b = 56/7+48/7 b = 104/7 The final equation is:

Probability-and-statistics/574764: A bag contains13 balls numbered 1 through 13. What is the probability that a randomly selected ball has an even number? My answer = 6/13 Thank you. 1 solutions Answer 369283 by Earlsdon(6287)   on 2012-02-19 10:06:03 (Show Source): You can put this solution on YOUR website! Your answer is correct! There are 6 even numbers in the set: 2, 4, 6, 8, 10, and 12 and there is a total of 13 numbers to select from, so... P(even #) =

Quadratic_Equations/574673: How would I use the quadratic formula to solve 3x^2-6x-7=0? 1 solutions Answer 369213 by Earlsdon(6287)   on 2012-02-18 20:42:11 (Show Source): You can put this solution on YOUR website! How to use the quadratic formula for solving: First, identify a, b, and c from the quadratic equation. These come from the general form: so in your problem, a = 3, b = -6, and c = -7. Substitute these values into the formula: Simplify this. Evaluate. or or or