Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
43601	Solve for m	(2m-3)^2=81	${(2 m - 3)}^{2} = 81$
43602	Solve for t	28.3=23.1e^(0.0153t)	$28.3 = 23.1 e^{0.0153 t}$
43603	Solve for t	20=7.5cos((2pi)/365t)+21.5	$20 = 7.5 \cos (\frac{2 π}{365} t) + 21.5$
43604	Solve for t	3(2^(2t-5))-4=10	$3 (2^{2 t - 5}) - 4 = 10$
43605	Solve for t	300(1.025)^(12t)=1000	$300 {(1.025)}^{12 t} = 1000$
43606	Solve for t	10=30t-5t^2	$10 = 30 t - 5 t^{2}$
43607	Solve for r	rsin(theta)=-3	$r \sin (θ) = - 3$
43608	Solve for t	( natural log of 0.138)/-0.00012=t	$\frac{\ln (0.138)}{- 0.00012} = t$
43609	Solve for S	S(9)=2000(3.5^(-0.7(9)))	$S (9) = 2000 ({3.5}^{- 0.7 (9)})$
43610	Solve for t	(t+10)^(2/3)=2	${(t + 10)}^{\frac{2}{3}} = 2$
43611	Solve for t	(t+4)/t+3/(t-4)=-16/(t^2-4t)	$\frac{t + 4}{t} + \frac{3}{t - 4} = \frac{- 16}{t^{2} - 4 t}$
43612	Solve for r	log base 12 of r^2+1 = log base 12 of -6r+1	$\log_{12} (r^{2} + 1) = \log_{12} (- 6 r + 1)$
43613	Solve for r	20^r=56	$20^{r} = 56$
43614	Solve for r	r^2=64	$r^{2} = 64$
43615	Solve for r	r^(4/5)=16	$r^{\frac{4}{5}} = 16$
43616	Solve for p	-4e^(p-1)-5=-96	$- 4 e^{p - 1} - 5 = - 96$
43617	Solve for a	x^2+y^2+ax+by+c=0	$x^{2} + y^{2} + a x + b y + c = 0$
43618	Solve for A	cos(A)=0.48	$\cos (A) = 0.48$
43619	Solve for b	(2pi)/b=(2pi)/3	$\frac{2 π}{b} = \frac{2 π}{3}$
43620	Solve for A	55^2=50^2+35^2-25035cos(A)	$55^{2} = 50^{2} + 35^{2} - 2 \cdot 50 \cdot 35 \cos (A)$
43621	Solve for A	sin(pi/12)=1/2 square root of A- square root of B	$\sin (\frac{π}{12}) = \frac{1}{2} \sqrt{A - \sqrt{B}}$
43622	Solve for a	17^2=(22)^2+(25)^2-22225cos(a)	$17^{2} = {(22)}^{2} + {(25)}^{2} - 2 \cdot 22 \cdot 25 \cos (a)$
43623	Solve for a	(1/8)^(-3a)=512^(3a)	${(\frac{1}{8})}^{- 3 a} = 512^{3 a}$
43624	Solve for a	15/(a^2-1)=5/(2a-2)	$\frac{15}{a^{2} - 1} = \frac{5}{2 a - 2}$
43625	Find the Slope and y-intercept	6x+7y=52	$6 x + 7 y = 52$
43626	Find the Equation Given the Roots	-6 square root of 3-6i	$- 6 \sqrt{3} - 6 i$
43627	Find the Asymptotes	(5x+20)/(x^2+x-12)	$\frac{5 x + 20}{x^{2} + x - 12}$
43628	Find the Asymptotes	(1-x^2)/(x-2)	$\frac{1 - x^{2}}{x - 2}$
43629	Find the Asymptotes	(2x^2+2x-12)/(x^2-x-6)	$\frac{2 x^{2} + 2 x - 12}{x^{2} - x - 6}$
43630	Find the Asymptotes	(2x^2+7x+3)/(x^2+x-6)	$\frac{2 x^{2} + 7 x + 3}{x^{2} + x - 6}$
43631	Find the Asymptotes	(x^2)/(x-8)	$\frac{x^{2}}{x - 8}$
43632	Find the Asymptotes	(x^2)/(x+2)	$\frac{x^{2}}{x + 2}$
43633	Find the Asymptotes	x/(x-3)	$\frac{x}{x - 3}$
43634	Find the Asymptotes	(8x^2+1)/(2x^2+9x-5)	$\frac{8 x^{2} + 1}{2 x^{2} + 9 x - 5}$
43635	Find the Asymptotes	(x^3-27)/(x^2-2x-3)	$\frac{x^{3} - 27}{x^{2} - 2 x - 3}$
43636	Find the Asymptotes	(x^3-64)/(x^2-3x-4)	$\frac{x^{3} - 64}{x^{2} - 3 x - 4}$
43637	Find the Asymptotes	log of x-2	$\log (x) - 2$
43638	Find the Sum of the Series	1 , 1/4 , 1/16 , 1/64 , 1/256	$1$ , $\frac{1}{4}$ , $\frac{1}{16}$ , $\frac{1}{64}$ , $\frac{1}{256}$
43639	Find the Sum of the Series	1+1/4+1/16+1/64	$1 + \frac{1}{4} + \frac{1}{16} + \frac{1}{64}$
43640	Find the Vertex Form	x=-17y^2+102y-159	$x = - 17 y^{2} + 102 y - 159$
43641	Find the Vertex Form	-2y^2+x-20y-49=0	$- 2 y^{2} + x - 20 y - 49 = 0$
43642	Find the Vertex Form	y^2-8x-6y+17=0	$y^{2} - 8 x - 6 y + 17 = 0$
43643	Find the Vertex Form	y=x^2-6x	$y = x^{2} - 6 x$
43644	Find the Asymptotes	6-e^x	$6 - e^{x}$
43645	Find the Difference Quotient	f(x)=-3/(x-4)	$f (x) = \frac{- 3}{x - 4}$
43646	Find the Difference Quotient	f(x)=x^2-9	$f (x) = x^{2} - 9$
43647	Find the Difference Quotient	f(x)=4x-8	$f (x) = 4 x - 8$
43648	Plot	theta=(2pi)/3	$θ = \frac{2 π}{3}$
43649	Plot	(3,90 degrees )	$(3, 90 °)$
43650	Plot	f(x)=4^x	$f (x) = 4^{x}$
43651	Plot	(3,(7pi)/6)	$(3, \frac{7 π}{6})$
43652	Plot	(-4,(5pi)/4)	$(- 4, \frac{5 π}{4})$
43653	Subtract the Matrices	[[3,-6],[-1,5],[4,-6]]-[[-2,4],[-1,-1],[-3,2]]	$[\begin{array}{c} 3 & - 6 \\ - 1 & 5 \\ 4 & - 6 \end{array}] - [\begin{array}{c} - 2 & 4 \\ - 1 & - 1 \\ - 3 & 2 \end{array}]$
43654	Plot	(1,(5pi)/4)	$(1, \frac{5 π}{4})$
43655	Expand the Trigonometric Expression	tan(pi/2-x)	$\tan (\frac{π}{2} - x)$
43656	Expand the Trigonometric Expression	cos(theta-pi/3)	$\cos (θ - \frac{π}{3})$
43657	Expand the Trigonometric Expression	cos(arccos(x)+arcsin(x))	$\cos (\cos^{-1} (x) + \sin^{-1} (x))$
43658	Expand the Trigonometric Expression	cos(pi+theta)	$\cos (π + θ)$
43659	Expand the Trigonometric Expression	cos(pi-x)	$\cos (π - x)$
43660	Expand the Trigonometric Expression	sin(pi/3-x)	$\sin (\frac{π}{3} - x)$
43661	Evaluate the Derivative at x=11	f(x)=-8/x , x=11	$f (x) = - \frac{8}{x}$ , $x = 11$
43662	Evaluate the Derivative at t=8	s(t)=-1-13t , t=8	$s (t) = - 1 - 13 t$ , $t = 8$
43663	Find the Axis of Symmetry	y=(x-3)^2-3	$y = {(x - 3)}^{2} - 3$
43664	Find the Range	f(x)=(1/4)^(x+60)-600	$f (x) = {(\frac{1}{4})}^{x + 60} - 600$
43665	Find the Equation of the Circle	r=4cos(theta)	$r = 4 \cos (θ)$
43666	Find the Equation of the Circle	r=-6cos(theta)	$r = - 6 \cos (θ)$
43667	Find the Axis of Symmetry	(x-8)^2=-12(y-8)	${(x - 8)}^{2} = - 12 (y - 8)$
43668	Find the Equation of the Circle	r=-14cos(theta)	$r = - 14 \cos (θ)$
43669	Find the Axis of Symmetry	y=2x^2-6x+2	$y = 2 x^{2} - 6 x + 2$
43670	Find the Axis of Symmetry	y^2=8x	$y^{2} = 8 x$
43671	Find the x and y Intercepts	square root of x-2	$\sqrt{x - 2}$
43672	Find the x and y Intercepts	(x-4)/(x^2-16)	$\frac{x - 4}{x^{2} - 16}$
43673	Find the x and y Intercepts	(18-3x-x^2)/(x^2-9)	$\frac{18 - 3 x - x^{2}}{x^{2} - 9}$
43674	Convert Degrees, Minutes, Seconds to Decimal Degrees	57 degrees 29'38''	$57 ° 29' 38''$
43675	Convert Degrees, Minutes, Seconds to Decimal Degrees	90 degrees -30 degrees 24'54''	$90 ° - 30 ° 24' 54''$
43676	Convert Degrees, Minutes, Seconds to Decimal Degrees	20 degrees 15'	$20 ° 15'$
43677	Find Trig Functions Using Triangle Sides	A=48 degrees , a=32 , b=27	$A = 48 °$ , $a = 32$ , $b = 27$
43678	Subtract	(3t^2)/5-(4t^2)/15	$\frac{3 t^{2}}{5} - \frac{4 t^{2}}{15}$
43679	Find the Other Trig Values in Quadrant II	csc(theta)=5/3	$\csc (θ) = \frac{5}{3}$
43680	Find All Complex Number Solutions	z=7+3i	$z = 7 + 3 i$
43681	Find All Complex Number Solutions	z^5=-243i	$z^{5} = - 243 i$
43682	Find All Complex Number Solutions	x^4+16i=0	$x^{4} + 16 i = 0$
43683	Find the Other Trig Values in Quadrant III	csc(theta)=-5/4	$\csc (θ) = - \frac{5}{4}$
43684	Find the Other Trig Values in Quadrant III	tan(theta)=21/20	$\tan (θ) = \frac{21}{20}$
43685	Find the Other Trig Values in Quadrant IV	sec(theta)=5/4	$\sec (θ) = \frac{5}{4}$
43686	Write in y=mx+b Form	10x-4y=20	$10 x - 4 y = 20$
43687	Write in y=mx+b Form	4x-11y=32	$4 x - 11 y = 32$
43688	Find the Domain	f(x) = log of cos(x)	$f (x) = \log (\cos (x))$
43689	Find the Domain	f(x) = log of x-5	$f (x) = \log (x - 5)$
43690	Find the Domain	f(x) = log of 5-x	$f (x) = \log (5 - x)$
43691	Find the Domain	f(x) = log base 2 of 3x+2	$f (x) = \log_{2} (3 x + 2)$
43692	Find the Domain	f(x) = natural log of 9-x^2	$f (x) = \ln (9 - x^{2})$
43693	Find the Domain	f(x) = natural log of 3-4x	$f (x) = \ln (3 - 4 x)$
43694	Find the Domain	f(x) = natural log of x-1	$f (x) = \ln (x - 1)$
43695	Find the Domain	f(x) = log of 11-x	$f (x) = \log (11 - x)$
43696	Find the Domain	f(x)=(x-3)/(-2x-2)	$f (x) = \frac{x - 3}{- 2 x - 2}$
43697	Find the Domain	f(x)=1/(x^2-5x+25)	$f (x) = \frac{1}{x^{2} - 5 x + 25}$
43698	Find the Domain	f(x)=17/(5-x)	$f (x) = \frac{17}{5 - x}$
43699	Find the Domain	f(x)=-5/(x^2-81)	$f (x) = \frac{- 5}{x^{2} - 81}$
43700	Find the Domain	f(x)=( log of x-4)/( square root of 27-3x)	$f (x) = \frac{\log (x - 4)}{\sqrt{27 - 3 x}}$