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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
    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
    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
    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
    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
    Math is necessary for even the most basic of life functions. Whether you're buying groceries, determining a budget for yourself, calculating interest on investments, or carrying out a whole myriad...

    Asked by jazmine on via web

    8 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 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
    The average of the four numbers is 8. This gives the sum of all the four numbers as 8*4 = 32. As the sum of three of the numbers is 22, the fourth number is 32 - 22 = 10. The correct answer is...

    Asked by patriciabmccarthy on via web

    1 educator answer

  • Math
    A ball is thrown into the air with an initial velocity of 40 ft/s vertically upwards. t seconds after it has been thrown up, the height of the ball is given by the function `f(t) = 40t - 16t^2` ....

    Asked by tonys538 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
    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
    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
    Method 1 : Use the base 10, 100, 1000 system to find the decimal. Make sure you mark 0.3 with a repeating 3. Methond 2: Divide the numerator of the fraction by the denominator (e.g. 4/9 = 4 ÷...

    Asked by soccerchic96 on via web

    2 educator answers

  • 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
    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
    We need to prove that: sec^2 x +csec^2 x = (sec^2 x)(csec^2 x) Let us start with the left side: We know that secx= 1/cosx and csec x = 1/sinx ==> sec^2 x+ cosec^2 x= 1/cos^2 x + 1/sin^2 x =...

    Asked by hadeelhadool on via web

    1 educator answer

  • 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

  • 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
    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
    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 circle should pass through the three points (-7,4),(-4,5) and (0,3) Call the center of the circle P. Then PA=PB=PC since all radii of a circle are congruent. PA=PB implies that P lies on the...

    Asked by bobeep23 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
    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
    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
    Given f(x) = e^3x We need to find the first derivative f'(x) using the chain rule. We will assume that u= 3x ==> u' = 3 ==> f(x) = e^u ==> Now we will differentiate: ==> f(x) = (e^u)' =...

    Asked by sylli on via web

    2 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
    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
    Think about what you know. First, you are dealing with fractions, which means that each part has to be equal. Second, you know that if you add 3 of those equal parts together you get 15. The next...

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

    Asked by niio2 on via web

    1 educator answer

  • 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
    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
    The number "x" is represented as a letter because it is a variable. This is the idea of the type of math that is named algebra. Replacing the variables with single letters (sometimes English...

    Asked by poolfullof on via iOS

    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
    The result of the following have to be found by applying the rules of BODMAS: 3 x (10+5) + (48/6)/4 - 7 = 3 x 15 + 8/4 - 7 => 45 + 2 - 7 => 40 3 + 4x6 - 8 = 3 + 24 - 8 = 27 - 8 = 19 6 - (7+3)...

    Asked by shelly2hip300 on via web

    1 educator answer

  • Math
    Problem 1. When a die is thrown the outcome can be any of the numbers from 1 to 6. If two dice are thrown the set of outcomes that ensure the sum is 9 is {(3, 6), (6,3), (4, 5), (5, 4)}. The total...

    Asked by jimsteven on via web

    1 educator answer

  • Math
    We have to find x if the distance between (3,5 ) and ( x,8) is 5. Now the distance between ( x1, y1) and ( x2, y2) is given by sqrt[(x1-x2)^2+(y1-y2)^] Here x1 = 3, y1 = 5, x2 = x and y2 = 8 =>...

    Asked by ulichh on via web

    3 educator answers

  • Math
    We have to solve for x: x^3 +x^2 +x +1 = 0 x^3 +x^2 +x +1 = 0 => x^2( x + 1) + 1(x + 1) = 0 => (x^2 + 1)(x + 1) = 0 x + 1 = 0 => x = -1 x^2 + 1 = 0 => x^2 = -1 => x = i , -i The...

    Asked by kokibrazil on via web

    2 educator answers

  • Math
    `sqrt(3)sinx+cosx=1` `sqrt(3)sinx=1-cosx` `3sin^2x=1-2cosx+cos^2x` -- square both sides `3(1-cos^2x)=1-2cosx+cos^2x` -- Pythagorean relationship `4cos^2x-2cosx-2=0` -- clear parantheses and...

    Asked by homeworkar 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
    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
    We can view a function as something that maps things of one type to things of another type. The inverse of a function tells you how to get back to the original value. We do this a lot in everyday...

    Asked by oghene on via web

    2 educator answers

  • 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
    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
    In determining the factorization, it is a good trick to know that when the coefficient of the x^2 is indeed one (as it is in this case), solving for the two factors is much easier. Basically, what...

    Asked by carolinesmiths on via web

    2 educator answers

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