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  • Math
    The letters R, Q, N, and Z refers to a set of numbers such that: R = real numbers includes all real number [-inf, inf] Q= rational numbers ( numbers written as ratio) N = Natural numbers (all...

    Asked by dariuszzacz on via web

    1 educator answer.

  • Math
    The easiest way I have for knowing the difference between linear and nonlinear is the exponent value on the variable x. It is important to understand the root word in linear. It is LINE. A...

    Asked by schnoop on via web

    8 educator answers.

  • Math
    Hey Shelly, All of these answers are great, but unless you get a better conceptual understanding of the basic parts of a slope intercept equation you will continue to struggle with these equations...

    Asked by shelly-belly on via web

    10 educator answers.

  • Math
    Primary and secondary data fall within the scope of statistics and can be used as part of a research method. The collected data may assist a company in measuring, assessing and discussing the...

    Asked by nkazie on via iOS

    1 educator answer.

  • Math
    Your sister is 2 years younger than you as when you are 4 she is 2(half your age); therefore when you are 100 your sister is 98 years old.

    Asked by mimi101 on via web

    2 educator answers.

  • Math
    f(x) = 2x g(x) = x + 3 First let us find (fog)(x) (fog)(x) = f(g(x) = f(x+3) = 2(x+3) = 2x + 6 ==> (fog)(x) = 2x + 6 Now let us find (gof)(x): (gof)(x)...

    Asked by seedrasoso on via web

    1 educator answer.

  • Math
    Another method is knowing to take the derivative of f(x) = sin^2(x) + cos^2(x) f '(x) = 2 sin(x) cos(x) + 2 cos(x) (-sin(x)) = 2 sin(x) cos(x) - 2 cos(x) sin(x) = 0 Since the derivative is zero...

    Asked by mathexpert on via web

    3 educator answers.

  • Math
    What you have to remember here is the formulas for area and circumference of a circle. The area of a circle is equal to the square of its radius times pi. The circumference of a circle is equal to...

    Asked by george95 on via web

    1 educator answer.

  • Math
    Without people who can do math, we would not have many of the things we take for granted. We wouldn't have cars, highways, or plane travel--math is required to design and build such things. Tall...

    Asked by jazmine on via web

    8 educator answers.

  • Math
    A square and a rectangle each have 4 sides and 4 angles. The only difference between them is that a square is a rectangle with equal sides. Both have 4 90 degree (right) angles. A triangle has 3...

    Asked by tweety38039 on via web

    1 educator answer.

  • Math
    Let the length be "L" and the width "W" We know that the ration is 5:3 Then, L/W = 5/3 Cross multiply: ==> 3L = 5W ==> L = (5/3)*W .......(1) Also, it is given that the perimeter P is 32:...

    Asked by fourmetres on via web

    1 educator answer.

  • Math
    In arithmetic the least common multiple (LCM) of two numbers a and b is the smallest positive integer that is a multiple of both a and b. So, the multiples of 3 are : 3, 6, 9, 12, ...The multiples...

    Asked by bored1998 on via web

    1 educator answer.

  • Math
    Let x and y be the length and width of the rectangular corral.Since the two rectangular corrals are adjacent to each other, let one side of each corral (x) share a common fence.So, their total...

    Asked by rmunoz90 on via web

    1 educator answer.

  • Math
    tan^2x - sin^2x = tan^2x(1-cos^2x) = (tan^2x)(sin^2x)

    Asked by lek123 on via web

    1 educator answer.

  • Math
    2cosx + 1 = 0 First we will move 1 to the right side by subtracting 1 from both sides: ==> 2cosx + 1 - 1 = 0-1 ==> 2cosx = -1 ==> now we will divide by 2: ==> cosx = -1/2 Now we know...

    Asked by jimbart1 on via web

    1 educator answer.

  • Math
    This should be soled as integrals by parts. In Integrals by parts it says if U and V are fuctions then, `intUdv = UV-intVdu` So let us take U= x and V=e^(2x) Then by differentiation with respect to...

    Asked by andraa1058 on via web

    1 educator answer.

  • Math
    Well, I must admit I never ever thought that I would be answering a question in the Math group, but there you go! As a student who delighted in the fact that I was able to give up Maths at age...

    Asked by julianayun on via web

    3 educator answers.

  • Math
    A "mixed number," in math terms, is a whole number with a fraction attached to it. What you have posted in your question is essentially an "improper fraction," a situation that occurs when the top...

    Asked by roeboy on via web

    1 educator answer.

  • Math
    Let x and y be the two numbersWe want x-y = 8 and xy=P as small as possibleAs you wrote, x=8+yOnce you have that, you can substitute into the other equation, and getP=(y+8)y = y^2 + 8yJust as you...

    Asked by maythany on via web

    1 educator answer.

  • Math
    How do you find the vertex of the graph of a quadratic function written in intercept form? Intercept form is also known as factored form: y=(x-p)(x-q) where p,q are the x-intercepts. One way to...

    Asked by enotes on via web

    1 educator answer.

  • Math
    e^2x-3e^x +2 =0 Let us assume that e^x =y. Now substitute: ==> y^2 -3y +2 =0 Factorize:\ (y-2)(y-1)=0 y1= 2 ==> y1=e^x1= 2 ==> x1=ln2 y2=1 ==> y2=e^x2= 1 ==> x2=0 The solution for...

    Asked by seedrasoso on via web

    1 educator answer.

  • Math
    `int "tan"^n x dx =` `int ("tan" ^(n-2) x) ("tan" ^2 x) dx =` `int ("tan" ^(n-2) x) ("sec"^2 x - 1)dx = ` `int ("tan" ^(n-2) x ) "sec"^2 x dx - int "tan" ^(n-2) x dx=` To do the first integral, use...

    Asked by masterpiece56 on via web

    2 educator answers.

  • Math
    Give the formula for the following sequence: 4, 12, 36, ... Since 4 x 3 = 12, and 12 x 3 = 36, you can determine that this is a geometric sequence in which the common ratio is 3. Geometric...

    Asked by hsims01 on via iOS

    2 educator answers.

  • Math
    We are traveling at a speed S = 60 m/h The distance we are traveling is D = 50 m We know that: Speed (S) = distance (D)/ Time (T) 60 = 50 / T ==> T = 50/60 = 5/6 hour ==> T = 5/6 * 60 minutes...

    Asked by meganabel on via web

    1 educator answer.

  • Math
    First we need to calculate the area of the floor Since it is a rectangulal floor, then the area to be covered is L*I= 9*3=27 m ^2 =270,000 cm^2 Now we need to cover the area with (n)...

    Asked by sixpenpencil on via web

    1 educator answer.

  • Math
    We know that the area of the circle is given as the following function: A = (r^2)*pi where r is the radius. But we know that: C = 2r ( c is the circumference) ==> r = C/2 Now substitute...

    Asked by hannah555 on via web

    1 educator answer.

  • Math
    A linear function is one that has the form f(x) = ax + b. Here for each value of x there is only one corresponding value of f(x) and every value of f(x) is due to only one particular value of x. In...

    Asked by beastmode303 on via web

    2 educator answers.

  • Math
    We have to find the chain rule to find the derivative of f(x) = e^3x. The chain rule for the function f(x) = g(h(x)) gives f'(x) = g'(h(x))*h'(x). Here f(x) = e^3x f'(x) = e^3x * (3x)' => e^3x *...

    Asked by sylli on via web

    2 educator answers.

  • Math
    This is a minimization problem hence, you need to find a function that models the distance between a point `A(x,y)` that lies on the given curve and the fixed point `(3,0).` You need to use the...

    Asked by dylzzz on via web

    1 educator answer.

  • Math
    See the attached figure. (ABC are triangle vertices, DEF are midpoints on triagle sides and O is the intersection of medians) In triangles ABD and ACD BD= CD (by median definition) AD= AD...

    Asked by dilipkhetan on via web

    1 educator answer.

  • Math
    To find 10% of a number, just move the decimal one place to the left. 10% of 123 is 12.3 or, multiply the number by the decimal equivalent. 10% is also written as .10 500 x .10 = 50. 20% is also...

    Asked by shannon420 on via web

    3 educator answers.

  • Math
    Real-life limits are used any time you have some type of real-world application approach a steady-state solution. As an example, we could have a chemical reaction in a beaker start with two...

    Asked by onionandeva on via web

    1 educator answer.

  • Math
    f(x) = 1/(x^2 - 4) First wewill implify using partial fractions: ==> 1/(x^2- 4) = 1/(x-2)(x+2) ==> A(x-2) + B(x+2) = 1/(x-2)(x+2) ==> A(x+2) + B(x-2) = 1 ==> Ax + 2A + Bx - 2B = 1...

    Asked by tuleen092009 on via web

    1 educator answer.

  • Math
    Let f(x) = sin3x. We need to find the anti-derivative of f(x). Then, we need to find the integral of f(x). ==> intg f(x) = intg sin3x dx Let u = 3x ==> du = 3 dx ==> intg f(x) = intg...

    Asked by leeaeel on via web

    2 educator answers.

  • Math
    You need to work on simple average of the numbers to evaluate the mean such that: Mean = `(12+8+11+10+7+10+15+13+14+9)/10` Mean = `109/10` => Mean = 10.9 You need to evaluate the variance first...

    Asked by jora7 on via web

    1 educator answer.

  • Math
    dy/dx = x - yUse substitution:v = x - yDifferentiate with respect to xdv/dx = 1 - dy/dxdy/dx = 1 - dv/dxNow we use above substitutions in differential equationsdy/dx = x - y1 - dv/dx = vdv/dx = 1 -...

    Asked by reflex on via web

    1 educator answer.

  • Math
    sinx = 3/5 We know that: sin^2 x + cos^2 x = 1 ==> cosx = sqrt(1-sin^2 x) = sqrt(1- 9/25) = sqrt( 16/25) = 4/5 ==> cosx = 4/5 Now we know...

    Asked by hadeelhadool on via web

    1 educator answer.

  • Math
    We are given the equation x^2-5xy+3y^2=7 and we have to find dy/dx. Differentiating each term of x^2 - 5xy + 3y^2 = 7 with respect to x, we get 2x - 5x(dy/dx)- 5y + 6y(dy/dx) = 0 taking the terms...

    Asked by drole on via web

    2 educator answers.

  • Math
    1. `int te^t dt` Integrate by parts. u = t and dv = e^t. Then du = 1 and v = e^t `=te^t-int e^t dt` `=te^t-e^t+c` `=e^t(t-1)+c` 2. `int -e^(-2t)dt` You could use substitution, but I like to...

    Asked by binghams on via web

    1 educator answer.

  • Math
    If 3/5 is 15, then 1/5 must be 5 (15/3). So 5/5 of that number would be 5 x 5 = 25. So 25 is your answer.

    Asked by anime on via web

    4 educator answers.

  • Math
    Graph |y|=x. This is not a function so you will not be able to enter it directly into the y= screen of the TI-83. You will have to break it into two different functions. |y|=x ==> x=-y for...

    Asked by ephesians3-16 on via web

    1 educator answer.

  • Math
    Translate the written/verbal expression "twice a number x" into mathematical/symbolic notation: Twice a quantity usually indicates to take two of the things in question; usually this indicates to...

    Asked by poolfullof on via iOS

    2 educator answers.

  • Math
    The square root of 169 is 13. This is so because 13 times 13 gives 169 -- the definition of a square root of a number k is the number such that when you multiply it by itself you get k. Note that...

    Asked by jj12345678911 on via iOS

    1 educator answer.

  • Math
    A very simple example of combinations would be in the number of pizzas one could create given a certain number of criteria. In other word, given that a pizza place has: 3 types of crust -thin,...

    Asked by efferrc on via web

    1 educator answer.

  • Math
    Empirical probability of an event is estimated by observing results of actual experiments. For example, if you wanted to know the probability of the number 6 turning up when a fair die is rolled...

    Asked by linnie4352 on via web

    2 educator answers.

  • Math
    We are given that the mean is 80 and the standard deviation is 6. We want to determine the score that is the cut score at 95%. To find the `z` score that has 5% above and 95% below, we consult the...

    Asked by glamourxxchick on via web

    1 educator answer.

  • Math
    `int e^(3x) dx ` `==gt u= 3x ==gt du = 3 dx ` `==gt int e^(3x) dx = int e^u (du)/3 ` `==gt int e^(3x) dx = (1/3) int e^u du = (1/3) e^u + C ` `==gt int e^(3x) dx = (1/3) e^(3x) + C` ``

    Asked by lastxdeth on via web

    1 educator answer.

  • Math
    f(x)= x^2 - 5 The domain are all x values that has images. As you see, we do not have any restrictions on the values of x . ==> Therefore, the domain is all real numbers. As for the range,...

    Asked by sarcasticbrunette on via web

    2 educator answers.

  • Math
    I suggest you to transform the difference of like trigonometric functions into a product such that: sin alpha - sin beta = 2 cos ((alpha+beta)/2)*(sin(alpha-beta)/2) sin 4x - sin2x = 2 cos...

    Asked by clockbeige on via web

    1 educator answer.

  • Math
    The derivative of a function f(x) is defined as `lim_(h->0) (f(x+h) - f(x))/h` . For f(x) = sec x, the derivative from first principles is: `f'(x) = lim_(h->0)(sec(x+h) - sec x)/h` `=...

    Asked by jimsteven on via web

    1 educator answer.

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