Sunday
February 14, 2016

Posts by Jai

Total # Posts: 1,926

math
-8 1/8 = (6 1/2)p so first, we change the mixed numbers into improper fractions. To convert them, we take the product of the denominator and the constant then add it to numerator. This answer is the new numerator, while retaining the denominator: 8 1/8 = (8*8 + 1)/8 = 65/8 6 1...
July 17, 2012

practical math
assuming the gas is ideal, we can use the Charles' Law: V1 / T1 = V2 / T2 where V1 = initial volume of gas T1 = initial temp of gas V2 = final volume of gas T2 = final temp of gas substituting the values to the equation, 0.20 / 333 = V2 / 533 V2 = 0.20*533/333 V2 = 0.32 ...
July 17, 2012

Calc
f(x) = e^(−3x) + 5e^(4x) Note that the derivative of e^x is equal to e^x times the derivative of the exponent with variable x: d/dx (e^x) = e^x dx applying this, f'(x) = -3e^(-3x) + 20e^(4x) : First derivative f''(x) = 9e^(-3x) + 80e^(4x) : Second derivative
July 17, 2012

algebra 117
i interpreted it as: 3/(x^2 + x - 6) substituting x = 3, 3/(9 + 3 - 6) 3/6 1/2
July 17, 2012

math
2 log x - log 3 = 2 recall some laws of exponents. Note that we can rewrite the first terms as: 2 log x = log (x^2) Also, when two log terms of the same base are being subtracted, we can rewrite it as the quotient of the terms inside the log: log (x^2) - log (3) = log [(x^2)/3...
July 17, 2012

math
let x = your age 400 - 2x = 236 400 - 236 = 2x 164 = 2x x = 82
July 17, 2012

Math
I. 3x + 7y + 5 = 0 4x - 3y - 8 = 0 To solve, we can either use substitution or elimination method. For substitution, we choose one equation and represent one variable in terms of the other. Let's choose the first equation, and represent x in terms of y: 3x + 7y + 5 = 0 3x...
July 16, 2012

math30
substitute the value: pH = -log[H+] 2.5 = -log[H+] -2.5 = log[H+] note that log has a base of. Thus to get [H+], raise both sides of equation by 10 (to cancel the log): 10^(-2.5) = [H+] [H+] = 3.2 x 10^(-3)
July 11, 2012

algebra
*I had a correction for the last question you posted: Q: mang pedring wanted to construct a square table such that the length of its side is 30 cm longer than its height. What expression represents the area of the table? Suppose the table is 90 cm high what would be the area? ...
July 11, 2012

Integral math
Note that the given equation is a parabola that opens upward. The only point on the graph where the tangent line is parallel to the x-axis is at the vertex of the parabola, where it is at minimum. The slope of the tangent line at this point is zero (y=0). To get this point, we...
July 11, 2012

Integrated Math 1
f(x)g(x)= x^1999 * (2x - x^5) note that to multiply terms with the same base (in this case, the base is the variable x), we just add their exponents: 2*x^(1999+1) - x^(1999+5) 2x^2000 - x^2004 if it's just a typo, the answer is A. :)
July 11, 2012

Integrated Math 1
f(x) = -1 - 6x^2 - x^3 g(x) = -2 - 4x^2 f(x)-g(x) = -1 - 6x^2 - x^3 - (-2 - 4x^2) -1 - 6x^2 - x^3 + 2 + 4x^2 1 - 2x^2 - x^3 it's A. :)
July 11, 2012

algebra_correction
*wait. I had a correction: If table is 90 cm high, then the length of square is 120 cm. Substituting this to the equation for area, A = 90^2 + 60(90) + 900 A = 14400 cm^2 *sorry about that! The x value substituted must be 90, not 120. x__x ..haha wow ang galing naman,, fellow ...
July 11, 2012

algebra
Let x = height of table Let x+30 = length of table Recall that area of square is given by A = L^2 where L = length of one side. substituting, A = (x+30)^2 A = x^2 + 60x + 900 If table is 90 cm high, then the length of square is 120 cm. Substituting this to the equation for ...
July 11, 2012

algebra
probably the height in the problem is the length of the leg of the table or how high the table is.
July 11, 2012

algebra
*sorry i mean length = x + 30
July 11, 2012

algebra
Let x = height of the table since length is 30 cm longer than the height, then height = x + 30
July 11, 2012

trigonometry
First note that a whole circle measures 360 degrees or 2pi radians. The 3/2pi radians is just 3/4 of 2pi, Thus we can say that the length of arc given (the 60 ft) is just 3/4 of the circumference of the circle. If 60 is just 3/4 of the whole, then 60/(3/4) = 80 ft is the ...
July 11, 2012

algebra
let x = length of ladder if you draw the figure, you actually form a right triangle, where the ladder is the hypotenuse, and the wall is the height. Thus, we use trigonometry. sin (angle) = opposite / hypotenuse sin 75 = 34 / x x = 34 / (sin 75) x = 34 / 0.966 x = 37.27 ft ...
June 5, 2012

Pre-Calc/Math
recall that sin^2 x + cos^2 x = 1 therefore, we use this substitute the sin^2 x at the right side of equation: cos(x) + 1 = 1 - cos^2 x cos(x) = -cos^2 x cos(x) + cos^2 (x) = 0 factoring, cos(x) [1 + cos(x)] = 0 *for cos(x) = 0, the x values allowed are π/2 and 3π/2...
May 23, 2012

Math
Note that slope-intercept form is in the form y = mx + b where m = slope b = y-intercept Thus, y - 3 = -5(x + 1) y = -5x - 5 + 3 y = -5x - 2
May 23, 2012

Math
recall slope-point form: y - y1 = m(x - x1) where m = slope (x1, y1) = point on the line thus, y - 5 = 2(x - (-1)) y = 2(x + 1) + 5 y = 2x + 2 + 5 y = 2x + 7 hope this helps` :)
May 23, 2012

Math
recall slope-point form: y - y1 = m(x - x1) where m = slope (x1, y1) = point on the line thus, y - 5 = 2(x - (-1)) y = 2(x + 1) + 5 y = 2x + 2 + 5 y = 2x + 7 hope this helps` :)
May 23, 2012

6th g-math
let p = number of packs of mech pencil the total amount he could spend is 1.5p + 5.5 and this amount cannot be greater than (but can be equal to) $10, since his only money is $10. Thus, 1.5p + 5.5 _< 10 it's A.
May 23, 2012

Elem Math
Nope. Multiplying the lengths of sides gives you the volume. To get the surface area of a rectangular prism, SA = 2(L*W + L*H + W*H) where L = length W = width H = height therefore, #1. SA = 2(6*4.25 + 6*3.5 + 4.25*3.5) SA = 122.75 ft^2 #2. SA = 2(4*2.5 + 4*2.33 + 2.5*2.33) SA...
May 23, 2012

Precalculus
120 degrees and 300 degrees
May 23, 2012

science
first, write the chemical reaction: NH3 + H2SO4 -> (NH4)2SO4 then we balance this: 2NH3 + H2SO4 -> (NH4)2SO4 then we find the weight of NH3 and (NH4)2SO4. We can do this by getting each atomic mass of the element in the chemical formula, and add them. It can be found on ...
May 23, 2012

trig
let x = height of tree tan(angle) = x/27 tan(26) = x/27 x = 0.488*27 x = 13.17 = 13 m
May 23, 2012

algebra 1
(z - 4)/(z + 7) = 1/5 cross-multiplying, 5(z - 4) = z + 7 5z - 20 = z + 7 4z = 27 z = 27/4
May 23, 2012

Geometry
tan A * tan B = 1
May 23, 2012

math
sorry, i could not understand #15. #16. you have to plot this. But if you already know some properties of circle (in terms of its equation), you can skip plotting. The equation is a graph of circle, with center at (-6,-4) and radius = 6. The center is the position of source, ...
May 23, 2012

circles
At first, I was having difficulty understanding the given. I thought the PQ, PR and QR are the lengths of the triangle, but they are actually the arc (angle measure). Anyway, to get x, we know that the measure of a circle is 360 degrees. We get the sum of arcs PQ, PR and QR ...
May 23, 2012

math
3.62 x 10^7
May 23, 2012

circles and arcs
At first, I was having difficulty understanding the given. I thought the PQ, PR and QR are the lengths of the triangle, but they are actually the arc (angle measure). Anyway, to get x, we know that the measure of a circle is 360 degrees. We get the sum of arcs PQ, PR and QR ...
May 23, 2012

chemistry
recall that one mole of any substance is equal to Avogadro's number, which is 6.02 x 10^23 this number can be atoms, molecules, ions, etc. to get the number of moles, we just divide the given by the Avogadro's number: 2.8 x 10^20 / 6.02 x 10^23 = ?
May 23, 2012

algebra
[-16(x^7)(y^4)z]/[20(x^2)(z^3)] -4(x^5)(y^4)/(5z^2)
May 23, 2012

PHYSICAL SCIENCES
A. Argon all noble gases, except Helium, has eight valence electrons.
May 23, 2012

MATHS
that is true, if 'ln' is used, not 'log'. Well, in some books, ln and log seem interchangeable -they really mean ln, not log. If we rewrite the expression using ln, not log, e^(x + 3lnx) we can separate this into: (e^x)[e^(3lnx)] note that we can further ...
May 23, 2012

math
*sorry i mean x = 3/4
May 23, 2012

math
6 = 4x + 3 6 - 3 = 4x 3 = 4x x = 4/3
May 23, 2012

maths
work backwards: 2(2(2(2(0+1)+1)+1)+1) = 30 liters
May 22, 2012

Math
525
May 22, 2012

Math
let x = age of Travis let x-4 = age of Ellie (since Travis is four years older than Ellie) let 2(x-4) = age of Mac (since he is twice older than Ellie) since the sum of their ages is 44, x + x - 4 + 2(x - 4) = 44 2x - 4 + 2x - 8 = 44 4x - 12 = 44 4x = 56 x = 14 yrs old (Travis...
May 22, 2012

Math
recall that volume of cone is given by V = (1/3)*pi*(r^2)*h where r = radius which is half of diameter h = height and pi = constant equal to 3.14 substituting, V = (1/3)*3.14*[(5/2)^2]*7 now solve for V.
May 22, 2012

math algebra
let x = first number let x+1 = second number let x+2 = third number let x+3 = fourth number *note that there is +1 for every number since they are consecutive. therefore, x + x+1 + x+2 + x+3 = -2 4x + 6 = -2 4x = -8 x = -2 x+1 = -1 x+2 = 0 x+3 = 1 hope this helps~ :)
May 21, 2012

math trig
ln(2x-5) = 4 we raise both sides by e: e^(ln(2x-5)) = e^4 the e and ln will be cancelled, leaving only the 2x - 5: 2x - 5 = e^4 2x = e^4 + 5 x = (e^4 + 5)/2 hope this helps~ :)
May 21, 2012

math
Oh sorry. I thought it's outside. Nope, it can't be moved outside. 2^(x+1) = 9 2^(x+1) = 3^2 then we take the log of both sides: (x+1)*(log 2) = 2*(log 3) x + 1 = 2(log 3) / (log 2) x = [2(log 3) / (log 2)] - 1 or we can also rewrite the 1 as (log 2)/(log 2), so x = [2...
May 21, 2012

math
2^x + 1 = 9 2^x = 9 - 1 2^x = 8 then we rewrite 8 as power of 2: 2^x = 2^3 finally, since they have the same base (which is 2) we equate their exponents: x = 3 hope this helps~ :)
May 21, 2012

math
No. First to multiply fractions, we change mixed number into improper fraction. The mixed number here is 1 1/4. To change this, we multiply the denominator (the 4) to the constant (the first 1, not the 1 above the bar line) and add this to numerator. thus, 1 1/4 = (1*4 + 1)/4...
May 21, 2012

maths
recall these properties: -all sides of rhombus are equal. -the diagonals of rhombus are perpendicular (forms four 90 degree angles) -area of rhombus, if diagonals are given, can be calculated by A = d1 * d2 /2 where d1 & d2 are the diagonal lengths -side of a rhombus, if ...
May 21, 2012

maths
I think it has a typo. (what is "1nd")
May 21, 2012

algebra
for this problem, we will substitute the given to the equation p = mx + b, and then we solve simultaneously (two equations, two unknowns): 25 = 56m + b 20 = 66m + b to solve this, we can multiply one equation by -1 so that if we add the equations, the b will be cancelled: -25...
May 21, 2012

maths
let x = first number let 8-x = second number then we set up the equation. It says that the sum of their squares must be 34. thus, x^2 + (8-x)^2 = 34 then we solve for x: x^2 + 64 - 16x + x^2 = 34 2x^2 - 16x + 64 = 34 2x^2 - 16x + 30 = 0 x^2 - 8x + 15 = 0 since it's ...
May 21, 2012

maths
recall that an isosceles triangle has two equal sides. thus, to find this length, recall that the perimeter of a triangle is given by P = a + b + c but since two sides are equal, we can rewrite this as P = 2a + c substituting, 32 = 2a + 12 20 = 2a a = 10 now to find the area, ...
May 21, 2012

Geometry
recall that the volume of an oblique cone is given by V = (1/3)*(πr^2)*h where r = radius of circle (the base) h = height since diameter is equal to the height, we can say that h = d = 2r substituting, V = (1/3)π(r^2)(2r) 18π = (2/3)π(r^3) 18*(3/2) = r^3 27...
May 21, 2012

Algebra (re: %)
60/70 * 100 = 85.7%
May 21, 2012

Trigonometry
To combine the two log terms, first, the terms must have the same base (the number subscript of log). In this case, if there is no number subscript of log, the base is equal to 10. The two terms have the same base, 10. Now, recall that to combine log terms of the same base, *...
May 19, 2012

math
Let x = length of side of square thus area of square is A,square = x^2 recall that area of triangle is given by A,triangle = (1/2)b*h where b is the base and h is the height. The base and height of the triangle AMN are equal, which is (1/2)x. Thus, A,triangle = (1/2)*[(1/2)x...
May 19, 2012

algebra.
let x = width let 6x = length (according to the first statement) recall that area of a rectangle is given by, A = length x width thus, 54 = x * 6x 54 = 6x^2 9 = x^2 x = 3 ft (width) 6x = 18 ft (length) hope this helps~ :)
May 18, 2012

math
I think you mean, the ratio of the lengths of the smaller and larger cube. Recall that the surface area of a cube is given by SA = 6s^2 where s = length of one side then we get the length of one side of each cube. Larger: 32 = 6s^2 16/3 = s^2 s = 4/sqrt(3) Smaller: 18 = 6s^2 3...
May 17, 2012

math
I think you mean, the ratio of the lengths of the smaller and larger cube. Recall that the surface area of a cube is given by SA = 6s^2 where s = length of one side then we get the length of one side of each cube. Larger: 32 = 6s^2 16/3 = s^2 s = 4/sqrt(3) Smaller: 18 = 6s^2 3...
May 17, 2012

chemistry
first we write the chemical equation: C6H6 + O2 -> CO2 + H2O then we balance this: 2C6H6 + 15O2 -> 12CO2 + 6H2O then we solve for the molecular weight of C6H6. Note that mass of C = 12 and H = 1. thus, 6*12 + 6*1 = 78 g/mol then we get the number of moles of C6H6 used in...
May 16, 2012

chemistry
first we write the chemical equation: C6H6 + O2 -> CO2 + H2O then we balance this: 2C6H6 + 15O2 -> 12CO2 + 6H2O then we solve for the molecular weight of C6H6. Note that mass of C = 12 and H = 1. thus, 6*12 + 6*1 = 78 g/mol then we get the number of moles of C6H6 used in...
May 16, 2012

Geometry
*i mean 56 degrees.
May 16, 2012

Geometry
it's difficult to show solutions (because diagrams are required), but my answer is 58 degrees.
May 16, 2012

Chemistry
H2 + O2 -> H2O balancing this, 2H2 + O2 -> 2H2O then we find the limiting reactant. To determine the limiting reactant, we get the moles of product from the given moles of reactant. Whichever yield less number of moles of product is the limiting reactant. thus, 4 mol H2...
May 16, 2012

Math
270 degrees
May 15, 2012

math
(2x-5)/6 = (4x+1)/2 we must make the denominators same. to do this, we multiply the numerator & denominator of the term on the right by 3: (2x-5)/6 = 3(4x+1)/6 then we equate the numerators: 2x - 5 = 12x + 3 2x - 12x = 5 + 3 -10x = 8 x = -4/5
May 15, 2012

math 8th grade
multiply the given dimensions: 4 * 12 = 36 5 * 11 = 55 7 * 9 = 63 8 * 8 = 64 therefore, it's 8 in x 8 in.
May 14, 2012

math 8th grade
recall that area of rectangle (shape of the photo) is given by A = length * width substituting, A (original) = 3 * 5 = 15 if we triple both length and width, new length = 3 * 5 = 15 new width = 3 * 3 = 9 thus, A (new) = 15 * 9 = 105 to get the ratio, we divide the new area by ...
May 14, 2012

algebra
to get the inverse, we just interchange the variables x and y, and solve for y> Recall that we can also substitute f(x) as y: y = 5x^3 - 9 then we interchange x and y: x = 5y^3 - 9 and we solve for y: x + 9 = 5y^3 (x + 9)/5 = y^3 y = [(x + 9)/5]^(1/3) then finally we ...
May 14, 2012

algebra
we just substitute the value of x for x + h : f(x) = x^2 - 2 f(x+h) = (x+h)^2 - 2 if we want to expand it, f(x+h) = x^2 + 2xh + h^2 - 2 hope this helps~ :)
May 14, 2012

math
3/4 or 75% of the people were students. thus, 100 - 75 = 25% of the people were parents (moms & dads) of these, there are 3 dads to 4 moms. Note that the total is 3 + 4 = 7 parents. We can say that 4/7 or 57.14% of the parents are moms. 25% of this is the percent mom: (25% * ...
May 14, 2012

Algebra 2
(a) log(base10) of 8 log(base10) of 8 can be rewritten as = log(base10) of (2^3) = 3*[ log(base10) of 2 ] = 3*0.301 = 0.903 (b) log(base10) of 12 log(base10) of 12 can be rewritten as = log(base10) of (2*2*3) = log(base10) of 2 + log(base10) of 2 + log(base10) of 3 = 0.301 + 0...
May 9, 2012

math
Two ways: (1) Plot y = 3x - 5 and check if it passes through the point (4,7). (2) Substitute the x-coordinate of the point given (which is 4) to the equation, and solve for y. If the resulting y is equal to 7, it is a solution to the equation. Let's do #2 to check: y = 3x...
May 8, 2012

MATH
6 1/2 - 4 7/10 first, we convert this to improper fraction (numerator is greater than denominator). We do this be multiplying the whole number to the denominator then add to the numerator: (6*2 + 1)/2 - (4*10 + 7)/10 (12 + 1)/2 - (40 + 7)/10 13/2 - 47/10 Then, we find the ...
May 8, 2012

chemistry
For an ideal gas, (P1*V1)/(T1) = (P2*V2)/(T2) where P1, V1 and T1 are the pressure, volume and temp at initial conditions, and P2, V2 and T2 are the final conditions Substituting, (104*2.5)/270 = (95*5.3)/(T2) now solve for T2.
May 8, 2012

math
(4 + 1 - 3)/ 2 = 1
May 8, 2012

ALGEBRA1
Let D = amount of money needed to reach $635 therefore, 365 + D = 635 D = 635 - 365 D = $270
May 8, 2012

math
3/8 and 18/48
May 8, 2012

maths
f(x) = (x-1)/(2x^2) - (x-3) #1. f(2) = (2-1)/(2*2^2) - (2-3) f(2) = 1/(8) - (-1) f(2) = 1/8 + 1 f(2) = 9/8 #2. f(x) = (x-1)/(2x^2) - (x-3) 0 = (x-1)/(2x^2) - (x-3) x - 3 = (x-1)/(2x^2) (2x^2)(x-3) = x - 1 2x^3 - 6x^2 - x + 1 = 0 x = -0.459 x = 0.350 x = 3.11 #3. domain is all ...
February 18, 2012

maths
f(x) = (x-1)/(2x^2) - (x-3) #1. f(2) = (2-1)/(2*2^2) - (2-3) f(2) = 1/(8) - (-1) f(2) = 1/8 + 1 f(2) = 9/8 #2. f(x) = (x-1)/(2x^2) - (x-3) 0 = (x-1)/(2x^2) - (x-3) x - 3 = (x-1)/(2x^2) (2x^2)(x-3) = x - 1 2x^3 - 6x^2 - x + 1 = 0 x = -0.459 x = 0.350 x = 3.11 #3. domain is all ...
February 18, 2012

math
1/2*9.8*4^2 note that four exponent 2 means 4*4, which is equal to 16. thus, 1/2*9.8*16 you just type this in a calculator. the answer you'll get is 78.4
February 10, 2012

Algebra
(a) slope = m = 1 (b) m = 0 (c) m = undefined
February 10, 2012

math
1 - 7/10 = 3/10
February 9, 2012

algebra
let x = gallons needed 120 : 7 = 180 : x , or 120/7 = 180/x x/7 = 180/120 x = 7*3/2 x = 10.5 gallons
February 7, 2012

intermediate algebra
let x = first angle let 90-x = second angle then we set up the equation: 8x = (90-x) 8x + x = 90 9x = 90 x = 10 degrees 90-x = 80 degrees hope this helps~ :)
February 4, 2012

intermediate algebra
let x = first angle let 180-x = second angle then we set up the equation, 14x = 180-x 14x + x = 180 15x = 180 x = 12 degrees 180-x = 168 degrees hope this helps~ :)
February 4, 2012

intermediate algebra
let x = first angle let 180-x = second angle then we set up the equation, 14x = 180-x 14x + x = 180 15x = 180 x = 12 degrees 180-x = 168 degrees hope this helps~ :)
February 4, 2012

Math
(-5^2+(x+2))/-4-(-6) = -10 (-25 + (x+2))/(-4+6) = -10 (-25 + (x+2))/2 = -10 -25 + x + 2 = -20 -23 + x = -20 x = -20 + 23 x = 3 so, it's letter (E). hope this helps~ :)
February 4, 2012

algebra
to do this, you just divide 1350 by 45. 1350/45 = ?
February 1, 2012

Math
3sqrt(2) + 5sqrt(4) + 8sqrt(2) - 2sqrt(6) 11sqrt(2) + 5*2 - 2sqrt(6) 10 + 11sqrt(2) - 2sqrt(6) hope this helps~ :)
February 1, 2012

Algebra
if we're solving for x, we will separate each parenthesis term and equate them to zero. there are two parenthesis terms in the problem: the (2x+1) and the (x-4). now we equate each to zero, and solve for x. 2x + 1 = 0 2x = -1 x = -1/2 (the first root) x - 4 = 0 x = 4 (the ...
February 1, 2012

Additional maths
let a = one root let (1/3)a = the other root recall that quadratic equation can also be written as, x^2 - (sum of roots)x + (product of products) = 0 thus, product of roots = -12 -12 = (1/3)a^2 -36 = a^2 a = 6i (1/3)a = 2i *note that i = sqrt(-1) , which is an imaginary number...
February 1, 2012

Additional maths
another solution: recall that a quadratic equation can also be rewritten as, x^2 - (sum of roots)x + (product of roots) = 0 where the numerical coeff of x = -(sum of roots), and constant = (product of roots) therefore, sum of roots = -2 + (-3) = -5 equating this to the ...
February 1, 2012

Measurement:: Metric Units
to do this, you get the perimeter of the table. recall that the perimeter of a rectangle is given by, P = 2*L + 2*W where L = length W = width substituting, P = 2(1.75) + 2(1) P = 3.5 + 2 P = 5.5 meters then we convert this to centimeters. note that 1 meter = 100 centimeters ...
January 31, 2012

Trig
2cos(x-π/6) = 1 let y = (x-π/6) cos(y) = 1/2 y = π/3, -π/3 substituting back the value of y, (x - π/6) = π/3 x = π/2 (x - π/6) = -π/3 x = -π/6 or 11π/12 hope this helps~ :)
January 31, 2012

Precalculus
note: to subtract log with equal base (in this case, the base is 10) we just divide the terms inside the log. thus, 4log(2) + log(6) - log(3) 4log(2) + log(6/3) 4log(2) + log(2) finally we add: 5log(2) or log(32) hope this helps~ :)
January 30, 2012

Chemistry
sodium propionate, since ion-dipole interaction between water & sodium propionate is stronger than hydrogen bonding of water & propionic acid
January 30, 2012

Chemistry
Glucose, since it has -OH groups and thus can do hydrogen bonding with water. Unlike cyclohexane, which does not have -OH groups.
January 30, 2012

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