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  • 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
    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
    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
    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
    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
    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
    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
    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
    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
    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
    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
    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
    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
    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 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
    we need to show that `inttan^n(x)dx=(tan^(n-1)(x))/(n-1)-inttan^(n-2)(x)dx` We know that `tan^2(x)=sec^2(x)-1` hence we can rewrite our integral in the following manner:...

    Asked by masterpiece56 on via web

    2 educator answers

  • Math
    The volume of a cube with sides of length L is given by L^3. We have the volume of the cube as 343. L^3 = 343 => L^3 = 7^3 => L = 7 The surface area of a cube of length L is 6*L^2. As L = 7,...

    Asked by nadooosh 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
    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
    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 equation that is written as y = mx + c represents a straight line graph. At any place on the horizontal (or "x") axis the line passes through a particular place on the other (vertical, or "y")...

    Asked by aimanfik2015 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
    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
    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
    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
    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
    1. Construction of angle 105 degree using compass:(Refer attached image) Steps: Draw a line AB and mark point O on it where angle is to be drawn. With O as center draw an arc (semicircle) which...

    Asked by saiabh360 on via web

    1 educator answer

  • Math
    When triangles are similar, they could be congruent. However, they do not have to be congruent in order to be similar. So I guess the answer is not always. When triangles are similar, their...

    Asked by danigrlc on via web

    1 educator answer

  • Math
    Let f(x) be the cubic function. Then, we will write the function into the standard format: f(x) = ax^3 + bx^2 + cx + d Now to dteremine a,b,c,and d values, we will subsitute the points given. The...

    Asked by manderz on via web

    1 educator answer

  • Math
    Evaluate `int (lnx)/x dx` : We ` `` `let `u=lnx` . Then `du=1/xdx` and we have: `intudu=1/2u^2+C` . Substituting for `u` we get `1/2(lnx)^2+C` . Thus the integral evaluates as `1/2(ln(x))^2+C`

    Asked by homeschool11 on via web

    1 educator answer

  • Math
    TThe ratio of boys to girls is 12 to 16, 12:16 or 12/16 (all different ways this can be written). The fraction form 12/16 can be reduced by dividing by the greatest common factor. Both 12 and 16...

    Asked by maganda12 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
    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
    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
    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 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
    `y=1+sec(x),y=3` Refer the image. From the graph, the curves intersects at x=-pi/3 and x=pi/3. Using washer method, A cross section is a washer of cross sectional area A(x) with, Inner...

    Asked by enotes 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
    You should use factorial formula for combinations such that: `C_n^k = (n!)/(k!(n-k)!)` Reasoning by analogy yields: `C_4^2 = (4!)/(2!(4-2)!) => C_4^2 = (4!)/(2!2!)` You may write 4! such that:...

    Asked by xcherishmysmile on via web

    1 educator answer

  • Math
    Let `a(t)` and `b(t)` be functions denoting length and width of the rectangle at time `t.` Since area of rectangle is product of length and width we have `A(t)=a(t)b(t)` To get the the rate of...

    Asked by nick-teal on via web

    2 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
    Probability of head and 3 on a die is: P( head and 3 ) = p(head )* P(3) We multiply probabilities because we have 2 independent events. We know that p(head) = 1/2 Also p(3) = 1/6 Then P( head and...

    Asked by kokibrazil on via web

    1 educator answer

  • 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
    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
    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
    `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
    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
    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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