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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
    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
    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
    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
    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
    sin x - cos x=0 We could divide the equation by (cos x) and the result will be: sin x /cos x - 1 =0 But we know that the ratio between sinx and cos x determine the tangent function. tg x -1 =0...

    Asked by pufsipene on via web

  • Math
    Initial velocity of the ball = 26.3m/s At the highest point the ball reaches 0 velocity because of the pull of the acceleration due to gravity g. So, the time taken to reach the highest point...

    Asked by jharry23 on via web

  • 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
    In a discussion all sets are cosidered to be the subset of big set . Such a big set of which all other sets under discussion are subsets is called the universal set. We normally use the symbol U...

    Asked by rishabh050996 on via web

  • Math
    If you want to have a healthy life, and one in which you do not waste money, you use arithmetic all the time. Every time you go to the grocery store, you should be calculating which item of the...

    Asked by alnyash on via web

    3 educator answers.

  • 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
    We all seem to know what is mathematics, but when it comes to define it we seem to fail completely. A dictionary meaning of mathematics could be a science dealing with study of quantities and their...

    Asked by chrislyn09 on via web

  • 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
    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 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
    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
    Here we have to find x for which cos 2x = cos x. We know that cos 2x = 2(cos x)^2 - 1. Therefore we can write the expression given as 2(cos x)^2 - 1 = cos x or 2(cos x)^2 - 1 - cos x = 0 =>...

    Asked by frontman0 on via web

  • 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
    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
    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
    The limit `lim_(x->0) (1-cosx)/x^2` has to be determined. If we substitute x = 0, the result `(1-cosx)/x^2` is the indeterminate form `0/0` . In this case it is possible to use l'Hospital's rule...

    Asked by creativluana on via web

  • 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
    1 year consists of 365 days. 1 day has 24 hours, each hour has 60 minutes and each minute has 60 seconds. This gives the number of seconds in an hour as 60*60 = 3600 and the number of seconds in a...

    Asked by kavthuv on via web

    1 educator answer.

  • Math
    To solve this problem let's multiply (sin x - cos x) and (1 + sin x* cos x). (sin x - cos x)*(1 + sin x*cos x) = sin x + (sin x)^2 * cos x - cos x - sin x * (cos x )^2 Now (sin x)^2 + (cos x)^2 = 1...

    Asked by greynose on via web

  • 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
    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
    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
    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
    cos 2x = 1/2 <=> 2x = arccos (1/2) 2x = pi/3 x = pi/6 The first value of x is located in the 1st quadrant. Since we have to determine all convenient values from all 4 quadrants, we'll step in...

    Asked by undoitu on via web

  • Math
    Before I answer this question it will be worthwhile to clarify on some confusion that exists between some related terms - digits, letters or alphabets, signs, and characters. This confusion can be...

    Asked by sunnimah on via web

  • 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
    Calculus is useful in engineering and construction. However, if you are not involved in one of those fields you may not use it regularly. However, calculus is great training for the mind. It...

    Asked by shaznl1 on via web

    4 educator answers.

  • 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
    You need to remember that the vertices of the square lie on the circumference of circle and the center of circle is also the midpoint of diagonals of the square. Notice that diagonals of the...

    Asked by sharurocks on via web

    1 educator answer.

  • Math
    Hi, A geometric explanation is very intutive. Look at sin(x) curve below. Sin(-1) = -Sin(1). it is not symmetric But look at the cos(x) curve below. cos(-1) = cos(1). it is symmetric

    Asked by sokolof on via web

  • 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
    The hands will be opposite to each other 22 times in 24 hours actually (kindly ignore the typing mistake in the last line of my earlier answer). Here is another method to solve the problem: The...

    Asked by rhiopaulin on via web

  • Math
    The function `y = x^(ln x)` . The derivative `dy/dx` has to be determined. First, take the natural log of both the sides. As `y = x^(ln x)` , `ln y = ln(x^(ln x))` Use the logarithmic formula: `ln...

    Asked by jimb840 on via web

    1 educator answer.

  • Math
    The common factor of the given expressions has to be determined. x^2-x-6 = x^2 - 3x + 2x - 6 = x(x - 3) + 2(x - 3) = (x + 2)(x - 3) x^2 -5x +6 = x^2 - 3x - 2x + 6 = x(x - 3) - 2(x - 3) = (x - 2)(x...

    Asked by patriciabmccarthy on via web

    1 educator answer.

  • Math
    In the above question the given conditions are: let 1st digit=a 2nd=b 3rd=c 4th=d 5th=e 1.a=(b)2 2.b+c=10 3.d=b+1 4.e+c=14 5.a+b+c+d+e=30 => (b)2+b+c+d+e=30 (a=(b)2) =>...

    Asked by fawadphysics on via web

  • Math
    For a function y=f(x), the inverse function g(x) is such that g(f(x))=1. For the functions you have provided: f(x)=x^3 y=x^3 Take the cube root of y and x^3, => y^(1/3)=x Therefore the inverse...

    Asked by sincerelya on via web

  • 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
    `f(x) = x^2+2x+9` By completing square; `f(x) = (x+1)^2+8` `1/f(x) = 1/((x+1)^2+8)` We know that `(x+1)^2>=0` always. Hence `(x+1)^2+8>0 ` always. When `f(x)` is increasing then `1/f(x)`...

    Asked by roshan-rox on via web

    2 educator answers.

  • Math
    Melody has two coins that equal 15 cents. What are the two coins if one of them is not a nickel? This really is a word problem. That is to say, it is a trick problem. One of the coins is not a...

    Asked by superpop3 on via web

    3 educator answers.

  • Math
    x+y=30.....(1) and x-y=2......(2) so(1)+(2)......x+y+x-y=30+2 so 2x=32...x=16 now apply x=16 in (1) so we get......16+y=30 so .......y=14

    Asked by coolnity on via web

  • 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
    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
    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
    tan75: method (1): tan75 = sin75/cos75 = sin(45+30)/cos(45+30) = (sin45cos30+sin30cos45)/(cos45cos30 - sin45sin30) = [sqrt2/2*sqrt3/2 +...

    Asked by fairydrink on via web

    1 educator answer.

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