# Math Homework Help

### Showing All Questions Answered Popular Recommended Unanswered Editor's Choice in Math

• Math
The equation `0.45x+0.5-0.5x=0.10*(-19)` has to be solved for x. `0.45x+0.5-0.5x=0.10*(-19` ) add all the terms containing x in the left hand side =>` -0.05x + 0.5 = -1.9` => `-0.05x = -2.4`...

Asked by dcast123 on via web

• Math
You need to fit the sphere inside the cube, hence, the diameter of sphere needs to be equal to the side of cube such that: `D = a` D represents the diameter of the sphere a represents the side of...

Asked by harleyrm on via web

• Math
You need to evaluate `A^2` to check if a pattern comes up and this could be used later on, such that: `A^2 = A*A` `A^2 = ((3,0),(0,3))*((3,0),(0,3))` `A^2 = ((3*3+0*0 , 3*0+0*3),(0*3+3*0 , 0*0 +...

Asked by uoor on via web

• Math
The function o and * are defined as: xoy=xy-3x-3y+12 and x*y=x+y-3 1o(2*3) 1o(2 + 3 - 3) = 1o2 =1x2 - 3x1 - 3x2 + 12 = 2 - 3 - 3 + 12 =14 - 6 = 8...(1) (1o2)*(1o3) (1x2 - 3x1 - 3x2 + 12)*(1x3 -...

Asked by econominty on via web

• Math
You need to check the inequality and not to solve it, since computing the definite integral yields a value that does not depend on x. Hence, you need to verify if `int_1^2 e^x*f_0(x)dx =lt e(e-1)`...

• Math
You should notice that `3 + 2sqrt2 ` is expansion of squared binomial `(1+sqrt2)^2` such that: `(1+sqrt2)^2 = 1 + 2sqrt2 + 2` `(1+sqrt2)^2 = 3 + 2sqrt2` Hence, `sqrt(3 + 2sqrt2) = sqrt((1+sqrt2)^2...

Asked by lightjazz on via web

• Math
There's no getting around the fact that you will have to work with trig in order to be successful with it. However, there are some tricks you can remember in order to make it easier. (1) Always...

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• Math
Remember, all sides are = on a cube.Surface area is the area of each side of a figure, added together. As a cube has 6 sides, take the total surface area and divide by 6 to find the area of one...

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• Math
Most likely this question was asked by your instructor with the intention of you researching local interest rates and account types available. Interest rates and account types vary by state,...

Asked by lmashu on via web

• Math
It is certainly possible to find mathematical connections in almost every area. In the fine arts, you might look for equations or a statistical analysis of how a particular artist paints. For...

Asked by falsefantasy on via web

• Math
I'm going to assume the vector is 3-dimensional, but you can do this in any dimension. Say `vecK=<x,y,z>` Then `|vecK|=sqrt(x^2+y^2+z^2)` (this is the "magnitude" of K) The vector...

Asked by juno60 on via web

• Math
Break-even value is when the cost of production equals the revenue earned. No profit is earned. Therefore, you need to set the production cost = revenue earned. Defining the variable, x=products...

Asked by jhill7744 on via web

• Math
The equation `log_9 (x-5) + log_9 (x+3)=1` has to be solved. Use the property of logarithms log a + lob = log(a*b) `log_9 (x-5) + log_9 (x+3)=1` => `log_9(x - 5)(x + 3) = 1` => (x - 5)(x +...

Asked by maheen100 on via web

• Math
The function `f(x)= 3x+5` and `h(x)= 3x^2 +3x + 2` . A function g(x) has to be determined such that `f@g(x) = h(x)` => `f(g(x)) = 3x^2 +3x + 2` => `3*g(x) + 5 = 3x^2 +3x + 2` One function...

Asked by mavimalik on via web

• Math
The function `f(x)=3x^2-4x+1` . `lim_(h->0) (f(-1+h)-f(-1))/h ` => `lim_(h->0)(3*(-1+h)^2-4*(-1+h)+1 - 3*(-1)^2+4*(-1)-1)/h` => `lim_(h->0)(3*(-1+h - 1)(-1 + h + 1) + 4 - 4h + 1 - 4...

Asked by jjmgingrich on via web

• Math
For `f(t)=4t^2+3t+1` `lim_(h->0)(f(t+h)-f(t))/h` => `lim_(h->0)(4(t+h)^2+3(t+h)+1 - 4t^2-3t-1)/h` => `lim_(h->0)(4(t+h-t)(t+h+t) + 3(t + h - t) + 1 - 1)/h` =>...

Asked by jjmgingrich on via web

• Math
The function `f(x) = (x^2 -1)/(x^2 +1)` `y = f(x) = (x^2 -1)/(x^2 +1)` => `yx^2 + y = x^2 - 1` => `yx^2 - x^2 = -1 - y` => `x^2 = (-1 - y)/(y - 1)` => `x = sqrt((1 +y)/(1 - y))` and...

Asked by mavig on via web

• Math
g(x) = 2x + 10 for `x<=-2` x^2 for `-2<x < 2` and 4 for `x > 2` At x = -2 `g(-2) = 6` `lim_(x-> -2) g(x) = 4` As the two are not equal the function is discontinuous at x...

Asked by jjmgingrich on via web

• Math
To answer this question, you would need to provide additional information. Is there a federal tax rate such as 33%, etc.? Most likely, in your assignment, there is a tax chart by which you can...

Asked by ivonne2006 on via web

• Math
The future value, F is given by, `F= P(((1+i)^n -1)/i)` P is the periodic installment, i is the interest rate for the period and n is the number of periods. `F= 5000(((1+0.04)^30 -1)/0.04)` `F=...

Asked by soman2006 on via web

• Math
The future value of periodic investments is given by, `F = P (((1+i)^n-1)/i)` Where, F - Future value P - Periodic investment i - Interest rate for the period n -Number of periods In this case,...

Asked by soman2006 on via web

• Math
The number of employees in 2004 `= 68` The number of employees in 2014 `= 170` The increase in employees `= 170-68 = 102` The percent increase wrt 2004 `= 102/68 xx 100 %`...

Asked by soman2006 on via web

• Math
The sum of the digits of a 2-digit number is 14. If 29 is subtracted from the number, the digits of the resulting number are the same. If the number is represented by xy, x + y = 14 => x = 14 -...

Asked by topperoo on via web

• Math
It is given that 1 USD = 0.64662 GBP and 1GBP = 1.23534 Euro. The number of Euros equivalent to 1 USD has to be determined. 1 USD = 0.64662 GBP, substitute 1 GBP = 1.23534 Euro in the first...

Asked by jimone on via web

• Math
The equation of the line perpendicular to 3x + 2y = 8 and passing through (6, -1) has to be determined. Use the property that the product of the slope of two perpendicular lines is equal to -1. 3x...

Asked by lsstudent on via web

• Math
The roots of 4x^2 + 7x + 3 = 0 have to be determined using factorization. 4x^2 + 7x + 3 = 0 => 4x^2 + 4x + 3x + 3 = 0 => 4x(x + 1) + 3(x + 1) = 0 => (4x + 3)(x + 1) = 0 (4x + 3) = 0 =>...

Asked by joana1234 on via web

• Math
You need to remember that the form of equation of vertical asymptote is x = a and f(a) does not exist. Hence, since the equation of the function is a fraction, then the function does not exist for...

Asked by lenalen on via web

• Math
The identity `cos (x/2)=sqrt ((1/2)(1 + cosx))` has to be proved. `cos (x/2)=sqrt ((1/2)(1 + cosx))` let `x/2= y` , this gives the identity to be proved as `cos y = sqrt((1 + cos 2y)/2)` `sqrt((1...

Asked by elahusb on via web

• Math
Supposing that the problem provides the measure of angle in degrees, hence `cos (1/4)^o = 0.999.` You need to evaluate the inverse of trigonometric function tangent such that: `tan^(-1)(cos(1/4)^o)...

Asked by luvgoj on via web

• Math
Let the point of intersection of CP and AQ be R. If you draw a diagram you would see that, Consider APR and CQR traingles `Ahat(P)R = Chat(Q)R` (Given) `Chat(R)Q = Ahat(R)P` This gives,...

• Math
`A = 2y^2+by` `2y^2+by = A` Divide both side by 2. `y^2+b/2y = A/2` I am going to make this a complete quadratic equation. `y^2+b/2y+(b/4)^2 = A/2+(b/4)^2` This gives, `(y+b/4)^2 = A/2+b^2/16`...

Asked by yousawinner on via web

• Math
Write the levels of the two factors as indicator variables. Choose a baseline level combination eg`` "a" for the first combined with "1" for the second variable. Then you will have vector indicator...

Asked by beartrapstrong on via web

• Math
First just draw a cylinder with radius a through the center of the cone without taking the materials out. Now there would be a location at which the cone's radius (Not the base radius, but let's...

Asked by tcyl on via web

• Math
The graph of the function `y=(-1/2)*cos((3/4)*x)` is: The maximum value of the function is (1/2). The minimum value is (-1/2). The x-intercepts can be determined by solving `cos((3/4)*x) = 0`...

Asked by jjazz4321 on via web

• Math
Note: `f@g(x) = f(g(x))` This means, where you used to see an "x" in the equation for f(x), now plug in "g(x)" To find `f^(-1)(x)` First start with your equation, then switch the x and the y, then...

Asked by mahnoor12345678 on via web

• Math
The equation `(x^2+x^2)/(x+1)^2=3` has to be solved for x. `(x^2+x^2)/(x+1)^2=3` => `(x^2+x^2) = 3*(x+1)^2` => `2x^2 = 3x^2 + 6x + 3` => `x^2 + 6x + 3 = 0` `x1 = (-6 + sqrt(36 - 12))/2 =...

Asked by aniljha127 on via web

• Math
The function `f(x) = y= -3x + 4` . Isolate x and express it in terms of y. `y= -3x + 4` => `-3x = y - 4` => `x = (4 - y)/3` => `f^-1(x) = (4 - x)/3` The domain and range of `f^-1(x)` is...

Asked by mavig on via web

• Math
The radius is `(1)/(2)` the diameter.The diameter is 2.5, so the radius is 1.25The volume of a cylinder is`V=pi r^2 h`where r is the radius, h is the height, and V is the volumeSo for us,`V= pi...

Asked by maheen100 on via web

• Math
`f@g(x)=f(g(x))` `f(g(x))=1-(g(x))^2` `=1-(7x-6)^2` `=1-(49x^2-84x+36)` `=-49x^2+84x-35` `g@f(x)=g(f(x))` `g(f(x))=7f(x)-6` `=7(1-x^2)-6` `=7-7x^2-6` `=1-7x^2` `f(x)=3x+5` Think of this...

Asked by mavimalik on via web

• Math
I think you have indicated C, the circumference. The circumference of a circle is given by following equations. `C = 2pir` Since `d = 2r` `C = pid` Therefore, `C/d = (pid)/d = pi` The answer...

Asked by idominate on via web

• Math
The identity tan A + 2*tan 2A + 4*tan 4A + 8*cot 8A = cot A has to be proved. If tan A + 2*tan 2A + 4*tan 4A + 8*cot 8A = cot A => tan A + 2*tan 2A + 4*tan 4A + 8*cot 8A - cot A = 0 Using the...

Asked by lochana2500 on via web

• Math
The problem suggests that the triangle has no equal sides or angles, hence, the triangle ABC is scalene. Since the angle A is opposed to the side BC, you may use the law of cosines to evaluate its...

Asked by d2d2 on via web

• Math
Are you familiar with FOILing two binomials? F=first termsO=outside termsI=inside termsl=last terms FOIL the expression (a+b)(a-b). F=(a)*(a)=a^2O=(a)*(-b)=(-ab)I=(b)*(a)= (ab)L=(b)*(-b)=-b^2 You...

Asked by ajinshaju on via web

• Math
The annual income of A and B are in the ratio 3 : 4. If the income of A is 3x, the income of B is 4x. Their annual expenditure is in the ratio 5:7, if A's expenditure is 5y, B's expenditure is 7y....

Asked by govindsai on via web

• Math
`int_-oo^oo x e^(-x^2) dx` Let's ignore the endpoints for a moment and just find an antiderivative for: `x e^(-x^2)` This is a u-substitution problem:`u=-x^2` `du=-2xdx` `-(1)/(2) du = xdx` And...

Asked by tarfa123 on via web

• Math
`y = int(ln(x)+2)^2/xdx` Let `u = ln(x)` , then, `du = 1/x dx` Then the integral changes into, `y = int(u+2)^2du` This gives, `y = (u+2)^3/3 +c ` Where c is an arbitrary constant. Replacing u,...

Asked by tarfa on via web

• Math
`(d^2y)/(dx^2) - 3(dy)/(dx) + 2 = x^2` To find the general equation, we can find the characteristic equation first. `lambda^2-3lambda+2 = 0` `(lambda-1)(lambda-2) = 0` This gives `lambda = 1 or...

Asked by pcaffrey on via web

• Math
I think part of problem 1 got cut off. `"cos" (x+y) = "cos"x "cos" y - "sin" x "sin" y` `"cos" (x-y) = "cos"x "cos" y + "sin" x "sin" y` So:`"cos" (x+y) "cos" (x-y) = ("cos"x "cos" y - "sin" x...

Asked by justinjimenez28 on via web

• Math
`f(x)=-x^2-10x` is a parabola opening down. Graphically: The range is the possible y-values that can be obtained. For an upside-down parabola, you can't get reach any y-value taller than...

Asked by katz326 on via web