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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
    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
    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
    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
    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
    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
    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
    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
    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
    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
    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
    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
    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
    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 expand the binomial using the formula `(a-b)^2 = a^2 - 2ab + b^2` . Hence, substituting x for a and 2 for b yields: `(x - 2)^2 = x^2 - 4x + 4` You may also use distributive...

    Asked by soman2006 on via web

    1 educator answer.

  • 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
    You should check if the tangent function is continuous, hence, you need to check if `lim_(x->1, x<1) tan(pi*x/2) = lim_(x->1, x>1) tan(pi*x/2)` such that: `lim_(x->1, x<1)...

    Asked by tagnaouti on via web

    1 educator answer.

  • 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
    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
    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
    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
    `y=2x^2+4x-3`To find the vertex, use the formula `x=-b/(2a)`Here we have `x=-4/(2*2) = -1`To find the y-value of the vertex, plug in the x value:`y=2(-1)^2+4(-1)-3=-5`So the vertex is (-1,-5)To...

    Asked by garden4826amy on via web

    2 educator answers.

  • 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
    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
    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
    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
    Find the slope of the line `y= -5x-1` . The equation is written in slope-intercept form: `y =mx+b` , where `m` represents the slope and `b` represents the y-intercept. Therefore, -5 is the slope...

    Asked by ineedhelpinschool on via web

    3 educator answers.

  • 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
    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
    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
    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)=x^3+2 To find the inverse function f(x)^-1 , we will assume" y=x^3+2 y-2= x^3 ==> x= (y-2)^1/3 ==> f(x)-1= (x-2)^1/3 https://www.youtube.com/watch?v=Ec5YYVxyq44

    Asked by xuediot on via web

    1 educator answer.

  • Math
    `121 = 11 X 11` `==> sqrt121 = sqrt(11X 11) = 11` `==> sqrt121 = 11` `` ``

    Asked by niio2 on via web

    1 educator answer.

  • Math
    The fractions obtained by dividing 1 by 3 is equal to 0.3333... the series of 3 after the decimal point goes on for ever. To convert 0.33 to a fraction you would have to use approximation,...

    Asked by jp---46 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
    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
    `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
    f(x)= (4x-1)/2x+3 To find the inverse function f(x)^-1 we will assume: y=(4x-1)/(2x+3) ==> multiply by 2x+3 ==> y(2x+3)= 4x-1 ==> 2yx+3y=4x-1 ==> 3y+1= 4x-2yx ==> 3y+1= x(4-2y)...

    Asked by balitn 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 line is perpendicular to the y-axis means that it is horizontal or parallel to the x-axis, that means that the slope (m)=0 We hav the point (6,-1) pass through the line: y-y1= m(x-x1) y+1=0...

    Asked by dododima 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
    First, change the decimal to a fraction: .2= 2/10 Then, write the mixed number: 2 2/10 Finally, change the mixed number to a fraction by multiplying the whole number (2) x 10 (the...

    Asked by cbarfield 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 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
    Reciprocal of a number is 1/number. It does not affect its sign. Thus the reciprocal of -2 is `-1/2`

    Asked by haiiii on via web

    2 educator answers.

  • Math
    The short answer is no, pi/2 radians and 1.57 radians are not exactly the same thing - though they are close; pi is an irrational number, and as such has no exact decimal representation. Hence,...

    Asked by qianxueyang on via web

    1 educator answer.

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