Questions asked by Umer F.

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• Any trigonometry expert here to help, please?
  
• In the below figure, the measures of the sides of the Trapazoid ABCD are given. If the non-parallel sides of the Trapazoid are perpendicular then `AC^2 + BD^2 =` ?
  
• Find the value of `int_0^1tan^-1((2x-1)/(1+x-x^2))dx`?
  
• A thin rope 200 inches length is going to be cut into three pieces to form one circle and two equal squares. Which of the following represents the `r` of the circle, if the rope was finally cut in such a way that the total area of the shapes is minimized?
  
• It's a calculus problem?
  
• The function `f(x)=sin(3x)+cos(3x)` is the result of series of transformations with the first one being a horizontal translation of the function `sin(x)`. Which of this describes the first transformation?
  
• Can `tan(x)=cot(x)`? If yes, list all possible values of `x`?
  
• Compute the exact value of `{tan220^\circ-sin220^\circ}/{tan220^\circsin220^\circ}` without a calcuator?
  
• If `f` is continuous on `[a,b]`, then `d/dx(int_a^bf(x)dx)=f(x)`? True or False?
  
• Geometry question, please help?
  
• Does the sequence defined by `a_1=2`, `a_(n+1)=72/(1+a_n)` converge? What does it converge to?
  
• If `log_b5=z` , then the value of `log_{b^2}5` is given by? (a). `z/2` (b). `z^2` (c). `z` (d). None of these
  
• A straight line through `p` and `q` is drawn perpendicular to a line through points `p(x,y)` and `r(x,(y+10))`. The possible coordinates of the point `q` are? (a). `(17,y)` (b). `(-1,y)` (c). `(0,y)` (d). All of these choices
  
• If `A` and `B` are two events such that `P(A)+P(B)-P(AandB)=P(A)` , then ?
  
• According to the fundamental theorem of algebra, how many roots does the polynomial `f(x)=x^4+3x^2+7` have over the complex numbers, and counting roots with multiplicity greater than one as distinct? (i.e `f(x)=x^2` has two roots, both are zero).
  
• Which of the following represents the area of the region bounded by the graph of the function `f(x)=sqrt{x}` , the x-axis, the y-axis and the tangent to the graph of `f(x)` at point `(4, 2)`..?
  
• Statement is lengthy, so I have attached the picture of it?
  
• The product of a number and negative five-ninths decreased by forty-three is the same as twenty-five increased by five-ninths times the number. What is the number?
  
• Bank A pays `1%` interest per year, compounded yearly. Bank B pays `5%` interest per year, compounded monthly. How long does it take before an investment in Bank B has grown to twice as much as the same investment in Bank A?
  
• Winter began harshly and the land is slippery. "Even guys can't take it as of late." Can you please explain the meaning of the second sentence?
  
• I'm confused to comprehend the meaning of this sentence. "Now you've completely lost the tack on being a whacko/wacko in what you are writing". Please correct and explain?
  
• Would anybody please explain the meaning of this? "If it takes a hen and a half, a day and a half, to lay an egg and a half, how long does it take a one legged grasshoper to kick the seeds out of the dill pickle?"
  
• In a cirlce `H`, if `angleDHG=(11x-36)^\circ` and `angleGHF=(x+12)^\circ`, find `hat{DG}`? I've found `x=17` and the `angleDHG=151^\circ`. Would you please help me on the next step to find the arc length?
  
• A particle travels at `2 units per` second along the curve `y=x^3-3x^2+2`. How long does it take to travel from the local maximum to the local minimum?
  
• Prove `cos(x)+sin(x)tan(x)=sec(x)`?
  
• The four forces, taken together, act as a single resulting force. What is the magnitude of this resulting force? The forces are acting on a point and the magnitude of each force is show in the diagram.
  
• The correlation coefficient of a linear fit between two variables `X` and `Y` is `-1`. I want to know, does the line containing the points for the strong negative correlation always have a slope of negative one? Thanks :)
  
• Use the table to calculate the probability that it is a Thursday, given that Jemma has travelled to work either by a train or a bus? The table show the relative frequencies with which Jemma uses each type of transport on her two travel day.
  
• A room has relative humidity of `20%` at `20` degrees Celsius with dimensions `3m \times 3m \times 2.7m`. Determine the amount of water vapour in grams and liters that must be added to the air of the room in order to raise the relative humidity to `60%`?
  
• A `10` `kg` block is hanging from `2` ropes. One exerts a `50` `N` force at a `15^{\circ}` angle. The other exerts a `95` `N` force at a `60^{\circ}` angle. Find the direction and the magnitude of the force that will bring the block into equilibrium?
  
• How can I put inline spaces in my explanations here on Socratic?
  
• Evaluate the limit `\lim_{x\rightarrow 0^+}(1/tan(x))^{1/ln(x)}`?
  
• Given a triangle whose sides are `24` `cm`, `30` `cm`, and `36` `cm`. Find the radius of a circle which is tangent to the shortest and longest side of the triangle and whose center lies on the third side?
  
• If `cos(t)=4/7` and `t` is in the 4th quadrant, find `sin(t)`?
  
• The line `y=-3x+c` crosses the hyperbola `xy=12` twice. Find the range of possible values for c?
  
• Suppose scores in a certain school test follows a normal probability distribution, with `\mu=70` and `sigma=10`. Grade A is awarded to the highest `2.5%` students. What is the dividing point between grade A & grade B?
  
• The cost of fuel per km for a truck travelling at a speed v[km/h] is given by `C(v)=v/100+25/v`. (a) What speed result in the lowest fuel cost per km (b) Assume the driver is paid `$40/h`. What speed would give the lowest cost, including wage for 1000Km?
  
• A polynomial function `f(x)` with integer coefficients has a leading coefficient of `-24` and a constant term of 1. State the possible roots of `f(x)`? Please include details. Thanks!
  
• Find the coordinates of the epicenter? Given values are attached as a picture!
  
• Find the upper and lower estimates for the temperature? The given values are attached as a picture! Thanks.
  
• How to crack this SAT Geometry problem? Thanks :)
  
• How to crack this SAT problem? Seem's more like physics to me than mathematics. Thanks :)
  
• It's a geometry question stating to find the area of quadrilateral ABCD?
  
• What is electric potential across a resistor if a resistance of `20` `ohms` draws a current of `6` `amperes`?
  
• A pair of fair six-sided dice is thrown eight times. Find the probability that a score greater than `7` is scored no more than five times?
  
• Given that, `\overline{AD}=45` and `\overline{DG}=60`, find the lengths of other line segments in this right triangle `\triangle ABC` given that the `DEFG` is a square?
  
• Determine which of the following definite integral equals `lim_{n\to infty} \Sigma_{i=1}^n 1/nsqrt{i/n}`?
  
• In `\triangle DEF`, `M` is the centroid. (i). Find `\overline{MK}` and `\overline{DK}` `" "` (ii). Find `\overline{LM}` and `\overline{LE}` `" "` (iii). Write an expression for `FJ`?
  
• How much current is being supplied by the current source? What is the power absorbed by the conductor?
  
• `|AB|=|BC|=10\ cm` , `|AC|=12\ cm` `\Rightarrow r=?`
  
• Let, `f(x)=-3/2x` and `g(x)=(1/2)^x-1`. `" "` What are the solutions to the equation `f(x)=g(x)`? `" "`Also graph the functions on the same coordinate plane!
  
• Find the perimeter of the triangle `ABC`?
  
• How to but put multiple line spacing between paragraphs? By default, no matter how many multiple line spacing you add, the display gives single line space.
  
• This problem includes factorial. Can anybody solve this?
  
• Find all the critical points for this function?
  
• `\lim _{n\to \infty }\sum _{i=1}^n\frac{3}{n}[(\frac{i}{n})^2+1]`.........??
  
• I am confused on this transformation problem. Can anybody help?
  
• I know that it will be of the form `2C(x)=C(x/2)`, but I am still stuck to write the transformed function. Can anybody help?
  
• A bookshelf holds `24` mysteries, `12` non-fiction books, and `4` biographies. What is the probability of selecting a mystery book and then without replacing it, selecting a non-fiction book?
  
• Find the exact value of `tan(\theta)` if `csc(\theta)=-4/3` and the terminal side of the `\theta` lies in the third quadrant?
  
• If `x` is nearly equal to one, then find the approximate value of `{mx^m-nx^n}/{m-n}`?
  
• For Geometry lovers, help me solve this?
  
• Find the coordinates of all points whose distance from `(0,-3)` is `\sqrt{5}` and whose distance from `(3,-4)` is `\sqrt{5}`?
  
• Find the equation of the circle which passes through the origin and `(4, −8)`? `\ \ \ \ ` Why do we use midpoint of two points to calculate the equation of circle? The points might make a chord rather than a diameter! Give me some insight?
  
• If `" "``((n), (k))=((n!), (k!(n-k)!))` `" "` show that `" "``((n), (k))=((n), (n-k))`...?
  
• How to solve for `x` using proportion?
  
• Trigonometry bearings confuses me. I only solved right and obtuse triangles using pythagorean, sines and cosines laws?
  
• What is Pragmatism? Explain with a simple real world example!
  
• I just learnt the whisker-plot (box-plot) and will go with the option `C` and `D`. I just want you to make me correct if I am wrong or provide the explanation if my choices are right?
  
• Why squaring both sides of a radical equation is an irreversible operation?
  
• A set of cards has 5 red cards and 5 black cards. If 3 cards are selected at random, what is the probability to select at least 1 black card?
  
• Find a quadratic function with zeros at `a+4` and `2a` where `a` is a constant. Write the function in standard form `f(x)=ax^2+bx+c`, and give the values of `a`, `b` and `c`. Assume the leading coefficient is 1?
  
• An item costing `$125` was marked up by `30%` of the selling price. During a sale, the item was reduced to `$120`. What was the rate of markdown during the sale?
  
• Factorials and Combinations is always an intimidating topic for me. Help?
  
• In the expansion of `(a+x)(1-x/4)^n`, the first three terms are `4+bx+5/4x^2`, where `n` is a positive integer greater than `2`. Find the values of `n`, of `a` and of `b`?
  
• This question belongs to logic category? Picture attached!
  
• Probaility Question?
  
• Please provide a detailed explanation to this problem?
  
• Basic English Grammar MCQ's. Any native american here, Help?
  
• The skill you can use is center, spread, and shape of distributions... Explanation?
  
• The text in white is question's statement. I'm stuck on second part of this problem. I am unable to write down any expression out of question's requirement?
  
• I ended up applying all the circle theorem's I knew. Can you help me figure this out?
  
• Calculate the most appropriate measure of central tendency and dispersion for the given dataset? You must show your work! `0, 0, 3, 2, 5, 7, 1, 8, 10, 2, 2, 1, 4, 6, 0, 7, 5, 7, 7, 4`
  
• Calculate the most appropriate measures of central tendency and dispersion for the given dataset? You must show your work!
  
• Calculate the most appropriate measure of central tendency and dispersion for the given dataset?
  
• Probability?
  
• What point is the author making when he talks about ways to prevent pollution?
  
• Electrostatics?
  
• Answer Part (b)?
  
• Geometry: Similarities?
  
• Theoretical Process. `" "` Can you explain the part `b)`...?
  
• Probabilities?
  
• If I want to create a solution with `\text{Fe}^{+3}=0.2\ \text{M}` using `5\ g` of `"Fe"_2"O"_3`, how many `"mL"` of water must I add?
  
• After reacting all of the `FeS` in a `1.5\ L` of a reaction solution that had `[FeS]=0.2\ M`, how many grams of `Fe_2O_3` were formed? `" "` `4FeS+7O_2\rightarrow 2Fe_2O_3+4SO_2`
  
• Redox half reaction problem?
  
• How many grams of `HCL` must you dissolve in `1400\ mL` to make a solution with `pH=2.7``\ \ `?
  
• Can you help?
  
• Which compound has the highest melting point? State the reason!
  
• Calculate the change in molar entropy and change in Gibbs' free energy when 1 mol of liquid butanol vaporizes at 25ºC to a gas that is at 0.001 atm?
  
• Calculate the change in Gibbs' free energy and entropy for the freezing of liquid water at -5º C, if the vapor pressure above the ice is 3.012 mmHg and that above the water is 3.163 mmHg? `DeltabarH_"fus" = "5.85 kJ/mol"` at this temperature.
  
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