Questions asked by Umer F.
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Any trigonometry expert here to help, please?
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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 = # ?
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Find the value of #int_0^1tan^-1((2x-1)/(1+x-x^2))dx#?
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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?
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It's a calculus problem?
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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?
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Can #tan(x)=cot(x)#? If yes, list all possible values of #x#?
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Compute the exact value of #{tan220^\circ-sin220^\circ}/{tan220^\circsin220^\circ}# without a calcuator?
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If #f# is continuous on #[a,b]#, then #d/dx(int_a^bf(x)dx)=f(x)#?
True or False?
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Geometry question, please help?
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Does the sequence defined by #a_1=2#, #a_(n+1)=72/(1+a_n)# converge? What does it converge to?
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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
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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
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If #A# and #B# are two events such that #P(A)+P(B)-P(AandB)=P(A)# , then ?
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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).
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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)#..?
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Statement is lengthy, so I have attached the picture of it?
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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?
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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?
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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?
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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?
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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?"
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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?
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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?
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Prove #cos(x)+sin(x)tan(x)=sec(x)#?
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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.
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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 :)
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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.
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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%#?
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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?
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How can I put inline spaces in my explanations here on Socratic?
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Evaluate the limit #\lim_{x\rightarrow 0^+}(1/tan(x))^{1/ln(x)}#?
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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?
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If #cos(t)=4/7# and #t# is in the 4th quadrant, find #sin(t)#?
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The line #y=-3x+c# crosses the hyperbola #xy=12# twice. Find the range of possible values for c?
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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?
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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?
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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!
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Find the coordinates of the epicenter? Given values are attached as a picture!
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Find the upper and lower estimates for the temperature? The given values are attached as a picture! Thanks.
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How to crack this SAT Geometry problem? Thanks :)
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How to crack this SAT problem? Seem's more like physics to me than mathematics. Thanks :)
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It's a geometry question stating to find the area of quadrilateral ABCD?
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What is electric potential across a resistor if a resistance of #20# #ohms# draws a current of #6# #amperes#?
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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?
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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?
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Determine which of the following definite integral equals #lim_{n\to infty} \Sigma_{i=1}^n 1/nsqrt{i/n}#?
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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#?
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How much current is being supplied by the current source? What is the power absorbed by the conductor?
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#|AB|=|BC|=10\ cm# , #|AC|=12\ cm# #\Rightarrow r=?#
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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!
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Find the perimeter of the triangle #ABC#?
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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.
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This problem includes factorial. Can anybody solve this?
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Find all the critical points for this function?
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#\lim _{n\to \infty }\sum _{i=1}^n\frac{3}{n}[(\frac{i}{n})^2+1]#.........??
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I am confused on this transformation problem. Can anybody help?
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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?
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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?
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Find the exact value of #tan(\theta)# if #csc(\theta)=-4/3# and the terminal side of the #\theta# lies in the third quadrant?
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If #x# is nearly equal to one, then find the approximate value of #{mx^m-nx^n}/{m-n}#?
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For Geometry lovers, help me solve this?
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Find the coordinates of all points whose distance from #(0,-3)# is #\sqrt{5}# and whose distance from #(3,-4)# is #\sqrt{5}#?
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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?
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If #" "##((n), (k))=((n!), (k!(n-k)!))# #" "# show that #" "##((n), (k))=((n), (n-k))#...?
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How to solve for #x# using proportion?
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Trigonometry bearings confuses me. I only solved right and obtuse triangles using pythagorean, sines and cosines laws?
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What is Pragmatism? Explain with a simple real world example!
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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?
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Why squaring both sides of a radical equation is an irreversible operation?
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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?
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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?
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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?
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Factorials and Combinations is always an intimidating topic for me. Help?
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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#?
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This question belongs to logic category? Picture attached!
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Probaility Question?
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Please provide a detailed explanation to this problem?
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Basic English Grammar MCQ's. Any native american here, Help?
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The skill you can use is center, spread, and shape of distributions... Explanation?
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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?
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I ended up applying all the circle theorem's I knew. Can you help me figure this out?
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Calculate the most appropriate measure of central tendency and dispersion for the given dataset? You must show your work!
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#0, 0, 3, 2, 5, 7, 1, 8, 10, 2, 2, 1, 4, 6, 0, 7, 5, 7, 7, 4#
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Calculate the most appropriate measures of central tendency and dispersion for the given dataset? You must show your work!
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Calculate the most appropriate measure of central tendency and dispersion for the given dataset?
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Probability?
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What point is the author making when he talks about ways to prevent pollution?
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Electrostatics?
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Answer Part (b)?
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Geometry: Similarities?
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Theoretical Process. #" "# Can you explain the part #b)#...?
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Probabilities?
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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?
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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#
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Redox half reaction problem?
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How many grams of #HCL# must you dissolve in #1400\ mL# to make a solution with #pH=2.7##\ \ #?
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Can you help?
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Which compound has the highest melting point? State the reason!
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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?
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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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