Sunday

April 19, 2015

April 19, 2015

Total # Posts: 1,717

**Math**

it's (x^11)*sqrt(x), because sqrt(x^23) sqrt(x*x^22) sqrt( x * (x^11)^2 ) then sqrt of (x^11)^2 is x^11, so we can take it out: x^11 * sqrt(x) hope this helps~ :)
*May 4, 2011*

**precalc**

domain = set of all possible values of x range = set of all possible values of y therefore, (1) y = sqrt(x-3) note that the term inside the sqrt can be zero but cannot be negative, for it will become imaginary. thus, Domain: x must be greater than or equal to 3. also, y can be...
*May 4, 2011*

**physics**

the energy needed to increase or decrease the temperature of a given substance is given by Q = mc(T2-T1) where Q = heat (in J or cal) m = mass (in g) c = specific heat capacity (in J/g*K or cal/g*K) T = temperature (in Kelvin) **change in temperature can have unit degree ...
*May 4, 2011*

**Math**

first, we factor the radicand (the term inside the radical sign or the squreroot): sqrt(27*b^11) sqrt[ (3*3*3) (b*b^10) ] then we separate the perfect squares: sqrt[ 3*(3^2) b*((b^5)^2) ] and we take the squarerrot of the perfect squres. the squareroot of 3^2 is 3, while (b^5...
*May 4, 2011*

**MAth**

they are the reciprocal of each other. *reciprocal = when you interchange the value of numerator and denominator hope this helps~ :)
*May 4, 2011*

**algebra**

substituting, A = (1/2)bh A = (1/2)(30)(30) A = 450 m^2 hope this helps~ :)
*May 3, 2011*

**IPC**

there was a typo. from the first paragraph, ...this only means that when two objects are in thermal equilibrium (or their temperature is the same/equal), NO heat is being transferred... and the rest is ok. :)
*May 3, 2011*

**IPC**

Zeroth Law of Thermodynamics = two objects in thermal equilibruim will have no net heat flow between them. **this only means that when two objects are in thermal equilibrium (or their temperature is the same/equal), heat is being transferred. this is a consequence of the ...
*May 3, 2011*

**geometry**

recall that the general equation of a circle is given by (x - h)^2 + (y - k)^2 = r^2 where the point (h,k) is the center of the circle, and r is the radius. thus in the given equation, (x + 4)^2 + (y – 9)^2 = 18 18 = r^2 therefore, r = sqrt(18) = 3*sqrt(2) and so the ...
*May 3, 2011*

**IPC**

the energy needed to increase or decrease the temperature of a given substance is given by Q = mc(T2-T1) where Q = heat (in J or cal) m = mass (in g) c = specific heat capacity (in J/g*K or cal/g*K) T = temperature (in Kelvin) **change in temperature can have unit degree ...
*May 3, 2011*

**math**

thousands
*May 3, 2011*

**math**

to round off, first you need to know the place of the digit you want to round off,, in the problem it's "to the nearest ten". then we look at the number to the right of tens digit if the number to the right of tens digit is: *greater than or equal to 5, you add 1...
*May 3, 2011*

**algebra1**

..then?
*May 2, 2011*

**Chem5**

recall that density is mass over volume, or d = m/V substituting, 1 = m / 4200 m = 4200 g H2O to get the mass of dioxin, we just multiply its percent mass: 4200 * 0.00052 = 2.184 g dioxin hope this helps~ :)
*May 2, 2011*

**physical science**

assuming the gas is ideal, we can use Charles' Law: V1/T1 = V2/T2 where V1 = initial volume V2 = final volume T1 = initial temperature (in Kelvin) T2 = final temperature (in Kelvin) we first convert the given temp to Kelvin: T1 = 30 + 273.15 = 303.15 K substituting, V1/T1...
*May 2, 2011*

**calculus**

yes. the substitution is correct: let u = x^(1/2) thus du = 1/[2(x^(1/2))] dx, or dx = 2(x^(1/2)) du, or dx = 2u du substituting these to original integral, integral of [e^x^(1/2) / x^(1/2)] dx integral of [(e^u) / u] * (2u) du the u's will cancel out: integral of [2*e^u] ...
*May 2, 2011*

**algebra 1**

3(2x-5) > x+15 6x - 15 > x + 15 combining similar terms, 6x - x > 15 + 15 5x > 30 x > 6 hope this helps~ :)
*May 2, 2011*

**physics**

assuming the air is ideal, we can use the formula, P1/T1 = P2/T2 where P1 = initial pressure P2 = final pressure T1 = initial temperature (in Kelvin) T2 = final temperature (in Kelvin) we first convert the given temp to Kelvin: T1 = 20 + 273.15 = 293.15 K T2 = 250 + 273.15 = ...
*May 2, 2011*

**Math**

(2/3)y = (-1/5)x to get the slope, we first transform this equation into slope-intercept form, y = mx + b where m = slope and b = y-intercept. note that the numerical coefficient of y (number before the variable y) in slope-intercept form is 1, thus to change the given ...
*May 2, 2011*

**math**

note that in elimination method, we first simplify/modify one (or both) the given equation until if we add the two given equation, one of the variables will cancel out. in the problem, we can obviously see that the 2y in the first equation will be cancelled out by the -2y of ...
*May 2, 2011*

**math**

..it's difficult to show long division here,, but the answer is 4 - 4x.
*May 2, 2011*

**math**

(3x + 3)(-4x^2 + 4x - 2) -12x^3 + 12x^2 - 6x - 12x^2 + 12x - 6 note that the 12x^2 and -12x^2 will cancel out, and we combine -6x and 12x: -12x^3 + 6x - 6 hope this helps~ :)
*May 2, 2011*

**math**

f(x) = x^2 – 18x + 81 f(x) = 16 substituting the value of f(x) to the quadratic equation, 16 = x^2 - 18x + 81 0 = x^2 - 18x + 81 - 16 0 = x^2 - 18x + 65 0 = (x-13)(x-5) thus, x = 13 and x = 5 hope this helps~ :)
*May 2, 2011*

**math**

*reposted* ..it's difficult to show long division here,, but the answer must be 4 - 4x.
*May 2, 2011*

**Physical Science**

i'll try my best to explain them as simple as possible. (i) distance - how far an object has moved. it is in units of length (meters, kilometers, etc) (ii) speed - distance traveled over certain time, or in formula, v = d/t where v = speed d = distance t = time it has ...
*May 2, 2011*

**Calculus**

x^2 / ln 3x getting the derivative, [(2x)(ln 3x) + (x^2)(1/(3x))(3)] / [(ln 3x)^2] simplifying, [ (2x)ln 3x + x ]/[(ln 3x)^2] hope this helps~ :)
*April 30, 2011*

**Algebra**

note that you cannot simplify the right side equation log3 (4) + log3 (y+8) , by 4 + y + 8 ... they should be multiplied. recall some laws of exponents; if we are add terms of the same base, for example log 3 + log 5 this simplifies to log(3*5) or log 15 going back to the ...
*April 30, 2011*

**Algebra Unit Analysis**

for #1, 1 mi = 1609.344 m since we need units in cubic meters, we raise both sides by 3: (1 mi)^3 = (1609.344 m)^3 1 mi^3 = 4168181825.44 m^3 for #2, we first convert the 58 ft into miles. we use ration and proportion (let n = unknown): 1 mi : 5280 ft = n mi : 58 ft thus 1/...
*April 30, 2011*

**Mathematics**

consecutive numbers are numbers which are next to each other. for example, 2 and 3 are consecutive. also, 5, 6, 7 and 8 are consecutive. for the first question, first, we represent the unknowns using variables. let x = first number let x+1 = second number note that the second ...
*April 30, 2011*

**Math**

from the first statement, it implies that Dominic is 8 years older than his sister. first we represent unknowns using variables: let x = sister's age let x+8 = Dominic's age since the sum of their ages is 56, x + (x + 8) = 56 then we solve for x: 2x + 8 = 56 2x = 48 x...
*April 30, 2011*

**statistics**

3.5 % increase means additional 0.035*10.85 to the his original salary. thus, 10.85 + 0.035*10.85 10.85 + 0.37975 11.23 dollars (rounded off) hope this helps~ :)
*April 30, 2011*

**calculus**

to do this, we get the derivative of (ax^2 - a^2)^4 + c assuming a is constant, the derivative is 4[(ax^2 - a^2)^3](2ax) hope this helps~ :)
*April 30, 2011*

**calculus**

to do this, we get the derivative of (ax^2 - a^2)^4 + c assuming a is constant, the derivative is 4[(ax^2 - a^2)^3](2ax) hope this helps~ :)
*April 30, 2011*

**math**

we use ratio and proportion: 1 : 2 1/2 = x : 1 thus, x = 1/(5/2) x = 2/5 of the lawn hope this helps~ :)
*April 30, 2011*

**algebra**

(1) 2x - 3y = 2 (2) x + 2y = -20 to solve this by substitution, we choose one of the equations. from there, we choose a variable and represent it in terms of the other variable. here, let's choose equation (2), and make variable x in terms of y: x + 2y = -20 x = -20 - 2y ...
*April 29, 2011*

**math**

to get unit price (the price per liter), we just divide it: 1.40/4 = ?
*April 29, 2011*

**Algebra 2 review**

when you place the ladder on the house, it forms a right triangle, where the length of ladder is the hypotenuse. recall Pythagorean theorem: c^2 = a^2 + b^2 where c = hypotenuse, and a and b are the legs substituting (letting a = 36), 39^2 = 36^2 + b^2 1521 = 1296 + b^2 1521...
*April 28, 2011*

**Chemistry HELP!!**

yes, we'll use the ideal gas law formula. PV = nRT rearranging and noting that n = mass/molar mass, n = PV/RT = m/MM m/MM = PV/RT we first convert the given pressure to atm, and temperature to Kelvin, and volume to L: P = 74.3 mm Hg * (1 atm / 760 mm Hg) = 0.0978 T = 20 + ...
*April 28, 2011*

**Math**

recall that the derivative of f(x)*g(x) is just f'(x)*g(x) + f(x)*g'(x) which means, we first take the derivative of the first function of x (the f(x)) then multiply this by the second function of x (the g(x)) and add this to the product of f(x) and derivative of g(x...
*April 26, 2011*

**math**

recall that speed is distance travelled per unit of time, or v = d/t substituting, 80 = 84.2 / t 80t = 84.2 t = 84.2/80 t = 1.0525 h hope this helps~ :)
*April 26, 2011*

**Math**

x^2 - x = -2 can be rewritten as x^2 - x + 2 = 0 observing, the given equation is not factorable, thus we use the quadratic equation: x = [-b +- sqrt(b^2 - 4ac)]/(2a) where a = numerical coefficient of x^2 b = numerical coefficient of x c = constant substituting, x = [ -(-1...
*April 24, 2011*

**algebra 1**

recall that the equation of a circle is given by (x-h)^2 + (y-k)^2 = r^2 where h = x-coordinate of center of circle k = y-coordinate of center of circle r = radius thus from the given equation, (x-2)^2 + (y+4)^2 = 9 the radius is sqrt(9) = 3 also, recall that area of circle is...
*April 24, 2011*

**Math**

36x^3 + 53x^2 + 38x + 35
*April 24, 2011*

**geometry**

recall that surface area of rectangular prism is given by SA = 2*(LW + LH + WH) where L = length W = width H = height substituting, SA = 2*[(8)(5) + (8)(2) + (5)(2)] SA = 2*(40 + 16 + 10) SA = 2*(66) SA = 132 in^2 hope this helps~ :)
*April 18, 2011*

**Geometry**

recall that the diagonal of a cube is given by d = sqrt(3*s^2) where s = length of side of cube substituting, d = sqrt(3*6^2) d = sqrt(108) d = 10.39 = 10.4 in hope this helps~ :)
*April 16, 2011*

**Science**

(1) True (2) False
*April 16, 2011*

**Science**

liquids and gases
*April 16, 2011*

**chemistry**

to get the number of He atoms, we dive the given mass to the mass of each He: 1.0 / (6.65 x 10^(-24)) = 1.50376 x 10^23 He atoms hope this helps~ :)
*April 16, 2011*

**chemistry**

first we write the chemical reaction: Al + HCl -> AlCl3 + H2 then we balance it: 2Al + 6HCl -> 2AlCl3 + 3H2 also we need to look for the masses of Al. from the periodic table, Al = 27 g/mol therefore, 54 g Al * (1 mol Al / 27 g Al) * (3 mol H2 / 2 mol Al) = 3 mol H2 or ...
*April 16, 2011*

**chemistry**

recall that molarity is just moles of solute per liter of solution, or M = n / V first we convert the 400 mL to L: 400 mL = 0.4 L substituting, M = 0.4 / 0.4 M = 1 M hope this helps~ :)
*April 16, 2011*

**More Solutions Chem**

first we balance the given chemical equation, thus: 2NaOH + H2SO4 -> Na2SO4 + 2H2O note that we need to balance a chemical equation because we need their stoichiometric coefficients (number before the chemical formula of a compound or element) to make ratios. since we are ...
*April 15, 2011*

**Chemistry**

first let's see if the chemical equation is balanced. Zn + HCl --> ZnCl2 + H2 since not yet balanced, then we balance it :P Zn + 2HCl --> ZnCl2 + H2 since we are given grams of Zinc, we need to find the mass of Zn from periodic table to convert it to moles. thus Zn...
*April 15, 2011*

**algebra**

*reposted* first note that we can't combine radicals if the radicands (term inside a radical sign) are not equal. notice that we can further simplify squareroot of 45 as sqrt(45) = sqrt(3*3*5) = sqrt(3^2 * 5) = 3*sqrt(5) now, we can combine them: 3*sqrt(5) + 4*sqrt(5) 7*...
*April 15, 2011*

**algebra**

first note that we can't combine radicals if the radicands (term inside a radical sign) are not equal. notice that we can further simplify squareroot of 45 as sqrt(45) = sqrt(3*3*5) = sqrt(3^2 * 5) = 3*sqrt(5) now, we can combine them: 3*sqrt(5) + 4*sqrt(5) 7*sqrt(5) hope ...
*April 15, 2011*

**Chemistry **

2C2H6 +7O2 --> 4CO2 + 6H2O since this is already a balanced equation, we can now use their stoich coefficients for the ratios. first, since we need grams of CO2, we find it's molecular mass. from the periodic table, the masses of C and O are C = 12 and O = 16 , thus 1*...
*April 15, 2011*

**algebra**

*reposted* first note that we can't combine radicals if the radicands (term inside a radical sign) are not equal. notice that we can further simplify squareroot of 45 as sqrt(45) = sqrt(3*3*5) = sqrt(3^2 * 5) = 3*sqrt(5) now, we can combine them: 3*sqrt(5) + 4*sqrt(5) 7*...
*April 15, 2011*

**Algerbra**

(x+2)(x+4) = 30 + x first we expand the left side of the equation,, multiplying them, x^2 + 2x + 4x + 8 = 30 + x then we combine similar terms and make the right side of equation equal to zero (since it's quadratic equation) : x^2 + 6x + 8 - 30 - x = 0 x^2 + 5x - 22 = 0 ...
*April 15, 2011*

**help please**

yes. if you're using MS Word, first highlight the text you want to double space, then right click and choose 'Paragraph' . you will see at the bottom right, 'Line Spacing' , and from there choose 'Double'. hope this helps~ :)
*April 15, 2011*

**math**

yes, it's linear equation in 3D. notice that e^2 + ln(2) looks complicated, but it's actually just a constant.
*April 15, 2011*

**calculus**

you're welcome~ :) by the way, i just want to make a correction. fro the value of V and SA, it's not 100, it should be 100*pi = 314.16 . sorry i forgot the pi, because i cancelled it right away, but the answers for r and h is still the same. i'll just retype the ...
*April 15, 2011*

**calculus**

sorry i haven't replied to your reply earlier. anyway, here's an example: there are many possible examples for this. but since we need to calculate volume (V) and surface area (SA), we choose a figure where its V and SA can easily/readily be calculated. for instance we...
*April 15, 2011*

**calculus**

yes :) do you want me to cite an example?
*April 15, 2011*

**MATH PLEASE HELP!**

or you can also make it 1 by dividing it by itself : 9-4.2) / (-4.2) = 1
*April 15, 2011*

**MATH PLEASE HELP!**

what do you mean "make -4.2 a one" ? is it something like you express -4.2 as sum of two number where one of them is 1 ?
*April 15, 2011*

**math**

distributive property~
*April 15, 2011*

**algebra**

first we represent the unknown using variable, let x = pounds of nuts needed then we set up equation. since we are given the number of pounds of raisins and its price per pound, we'll multiply it to get the total amount of the 12-lb raisins. we do the same for the the nuts...
*April 15, 2011*

**Math**

first we represent unknowns using variables, let x = the number of students asked then we set up the equation,, since the given were the fractional parts of the total number, we represent each part as (1/6)x : the number of students who like math (2/3)x : the number of ...
*April 15, 2011*

**Math**

first we represent unknowns using variables, let x = the number of students asked then we set up the equation,, since the given were the fractional parts of the total number, we represent each part as (1/6)x : the number of students who like math (2/3)x : the number of ...
*April 15, 2011*

**Algebra**

4x + 5x = 180 9x = 180 x = 20 substituting, 4x = 4*20 = 80 degrees 5x = 5*20 = 100 degrees hope this helps~ :)
*April 14, 2011*

**algebra**

9*9*8*7*6*5*4 = 544320 ways
*April 14, 2011*

**Chemistry: Stoichiometry**

first we write the combustion reaction: C6H12O6 + O2 -> H2O + CO2 then we balance it: C6H12O6 + 6O2 -> 6H2O + 6CO2 since mass of glucose is given, we get its molecular weight,, from the periodic table mass of each element in glucose is H = 1 , C = 12 , O = 16 6*12 + 12*1...
*April 14, 2011*

**Chemistry: Stoichiometry**

*i'll just repost my answer~ :) first we write the combustion reaction: C6H12O6 + O2 -> H2O + CO2 then we balance it: C6H12O6 + 6O2 -> 6H2O + 6CO2 since mass of glucose is given, we get its molecular weight,, from the periodic table mass of each element in glucose is...
*April 14, 2011*

**math**

since it's factorable, 2u^2 + 5u - 18 (2u + 9)(u - 2) hope this helps~ :)
*April 14, 2011*

**math**

since it's factorable, 3u^2 - 11u - 14 (3u - 14)(u + 1) hope this helps~ :)
*April 14, 2011*

**chemistry**

to get the heat released or absorbed, Q = mc(T2-T1) where m = mass of substance (units in g) c = specific heat capacity (units in J/g-K) T2 = final temperature T1 = initial temperature *note: units of temp doesn't matter if it's in degree Celsius or Kelvin, as long as ...
*April 14, 2011*

**physics**

oops, scrap my first answer,, i forgot to convert 35 km to meters: 35 km = 35000 m substituting, 51.6 * 10^(-3) = -3.31*( 11.7 - T1 )/(35000) 0.0516*35000/(-3.31) = 11.7 - T1 -545.62 = 11.7 - T1 -557.32 = -T1 T1 = 557.32 deg C sorry~ ^^; hope this helps~ :)
*April 14, 2011*

**physics**

recall that for an energy transfer, q = -kA * dT / dx where q = rate of heat tranfer (in Watts) k = thermal conductivity (in W/m-K) dT = differential change in Temperature (in Celsius or in Kelvin) dx = differential change in position (x-direction) *note: this is negative ...
*April 14, 2011*

**Geometry**

recall that when lengths of diagonals are given instead of base and height of a rhombus, we can still calculate it's area using the formula A = (1/2)*(d1 * d2) where d1 and d2 are lengths of the diagonals. substituting, 1326 = (1/2)*(39 * d2) 2652 = 39 * d2 d2 = 2652 / 39 ...
*April 14, 2011*

**Geometry**

recall that area of triangle is just A = (1/2)(bh) where b = base h = height since we need to find the height, thus the given AC is the base. substituting, 494 = (1/2)(19)*h 988 = 19*h h = 988/19 h = 52 inches hope this helps~ :)
*April 14, 2011*

**Math**

first, we get the volume of each solid. for the cube, recall that volume is just V = s^3 where s = length of a side substituting, V,cube = 2^3 = 8 in^3 for the rect. prism, recall that volume is just V = l*w*h where l = length, w = width, h = height substituitng, V,prism = 8*6...
*April 14, 2011*

**chemistry**

to get the heat released or absorbed, Q = mc(T2-T1) where m = mass of substance (units in g) c = specific heat capacity (units in J/g-K) T2 = final temperature T1 = initial temperature *note: units of temp doesn't matter if it's in degree Celsius or Kelvin, as long as ...
*April 14, 2011*

**math/115**

let n = any real integer. the absolute value of n, or | n | , means you always get its positive value. for example, | 2 | = 2 |-5 | = 5 | 0 | = 0 thus for -|-618| , we first get its absolute value, then multiply by -1 : -|-618| = -(618) = -618 hope this helps~ :)
*April 14, 2011*

**algebra**

let's write the old and new equations: (i) 6x+3y=12 (ii) 6x+3y=36 notice that they have the same slope, thus the new line (ii) is parallel to the original line (i). also , transforming this into slope-intercept form, they become (i) y = -2x + 4 (ii) y = -2x + 12 the y-...
*April 14, 2011*

**Math**

work backwards. first we start with -34. from the second statement, it was said that she doubled it, but since we're working backwards, we divide -34 by 2: -34 / 2 = -17 then subtracted by 12,, thus we add 12 by -17 : -17 + 12 = -5 multiplied by -5,, thus we divide by -5...
*April 14, 2011*

**chemistry**

at STP (standard temperature and pressure: T = 0 deg C , P = 1 atm), one mole of gas occupies a volume 22.4 L . or to you can derive this one using ideal gas law: PV = nRT where P = 1 atm (STP) T = 273.15 K (STP) R = gas constant = 0.0821 L*atm/mol-K n = 1 mol hope this helps~ :)
*April 13, 2011*

**8th grade math**

observe that we can factor xy from (x^2)y + x(y^2): (x^2)y + x(y^2) + x + y = 100: xy [ x + y ] + x + y = 100 then we can factor (x + y): (x + y)(xy + 1) = 100 since xy = 9, (x + y)(9 + 1) = 100 (x + y)(10) = 100 x + y = 10 getting its square, (x + y)^2 = 100 x^2 + 2xy + y^2...
*April 13, 2011*

**MATH URGENT!!!!!!!!!**

both can't be simplified further~
*April 12, 2011*

**calculus**

x-intercept is a point on the curve where it crosses the x-axis, thus y = 0. substituting, y = 2x^3 + 2 0 = 2x^3 + 2 0 = x^3 + 1 0 = (x + 1)(x^2 - x + 1) thus the only real solution is x = -1 ; and the x-intercept is at (-1, 0) for the second question, when the numerical ...
*April 12, 2011*

**physics**

recall pressure is force per unit area, or P = F/A where the force is in Newton (N) , pressure is in Pascal (Pa) and area is in square meters (m^2) thus, we first convert the dimensions to meters: 19 cm = 0.19 m 27 cm = 0.27 m A = 0.19*0.27 = 0.0513 m^2 substituting, 100000 = ...
*April 12, 2011*

**grade nine math **

from the 2nd line, when -35 is transposed to other side, 15r - 35 + r = 3r - 9 15r + r - 3r = 35 - 9 ...it must be positive 35. you forgot to change its sign.
*April 12, 2011*

**Math**

since we don't see the figure, but know that two consecutive angles of a parallelogram is supplementary (sum is equal to 180 degrees), 180 - 70 = 110 degrees (measure of angle F) hope this helps~ :)
*April 12, 2011*

**chemistry**

Fe2O3(s)+3CO(g)--->2Fe(s)+3CO2(g) we see that this chemical equation is already balanced. to get the number of moles of CO, we multiply the given moles of Fe2O3 by the stoichiometric ration from the balanced equation,, thu 1.75 mol Fe2O3 * ( 3 mol CO / 1 mol Fe2O3 ) = 5.25 ...
*April 11, 2011*

**math**

1/4 of 48 means you multiply 1/4 by 48. 1/4 * 48 note that we can rewrite 48 as 48/1 since any number divided by 1 is equal to itself. thus rewriting, 1/4 * 48/1 to multiply fractions, we multiply numerator by numerator and denominator by denominator. (note: numerator-the ...
*April 11, 2011*

**maths**

h t t p : / / w w w . w o l f r a m a l p h a . c o m / i n p u t / ? i = y % 3 D x + a n d + y % 3 D x ^ 2 - 6 x - 1 0 ..without the spaces~ :)
*April 11, 2011*

**algebra 1**

you forgot to multiply 20 by 8: n+8(n+20)=110 must be n+8n+160=110 but you're on the right track~ :)
*April 11, 2011*

**math**

first we represent unknowns using variables,, let x = first number let x+2 = second number note that since they are consecutive but both even numbers, the difference between them is 2, that's why the second number is x+2 now we set-up the equation,, since the sum of the ...
*April 10, 2011*

**math**

first represent unknowns using variables,, let x = first number let x+1 = second number note that the second number is x+1 because they are consecutive numbers. now we set up the equation,, according to problem, their product is 240, thus: x(x+1) = 240 x^2 + x = 240 x^2 + x - ...
*April 10, 2011*

**math**

first we represent the unknowns using variables,, let x = width let 3x-3 = length (according to the first statement) now we set up the equation,, since we are given the area, recall that the area of a rectangle is A = L*W where L=length and W=width. substituting, 90 = (3x - 3...
*April 10, 2011*

**elementry algebra**

since this equation is already in the slope-intercept form, we can readily determine the slope and y-intercept. note that in slope-intercept form , y = mx + b, m is the slope ; and b = y-intercept thus in the given equation, y = 2x + 2 m = 2 ; and b = 2 since y-intercept is a ...
*April 10, 2011*

**math**

for (1), a^2 * b^(-3) note that when a term is raised to a negative exponent, we get its reciprocal and raise it by the positive exponent,, for example, 2^(-4) = 1/(2^4) ; thus we can rewrite b^(-3) = 1/(b^3) therefore, a^2 * (1/(b^3)) a^2 / b^3 for (2), (5/3)^-3 we do the ...
*April 10, 2011*