Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
14201	Solve for x	1/(cos(x))=8/3	$\frac{1}{\cos (x)} = \frac{8}{3}$
14202	Solve for x	1/(x+3)=(x+10)/(x-2)	$\frac{1}{x + 3} = \frac{x + 10}{x - 2}$
14203	Solve for x	1/(x-4)+1/(x+1)=1/(x^2-3x-4)	$\frac{1}{x - 4} + \frac{1}{x + 1} = \frac{1}{x^{2} - 3 x - 4}$
14204	Solve for x	1/3*tan(x)^3-tan(x)=0	$\frac{1}{3} \cdot \tan^{3} (x) - \tan (x) = 0$
14205	Solve for x	1/x+1/(x+2)=9/40	$\frac{1}{x} + \frac{1}{x + 2} = \frac{9}{40}$
14206	Solve for x	-10/x=-16/(x+3)	$\frac{- 10}{x} = \frac{- 16}{x + 3}$
14207	Solve for x	10/(x-3)=9/(x-5)	$\frac{10}{x - 3} = \frac{9}{x - 5}$
14208	Solve for x	(4/7)^x=16/49	${(\frac{4}{7})}^{x} = \frac{16}{49}$
14209	Solve for x	(4/7)^x=256/2401	${(\frac{4}{7})}^{x} = \frac{256}{2401}$
14210	Solve for x	(6/5)^x=36/25	${(\frac{6}{5})}^{x} = \frac{36}{25}$
14211	Solve for x	(6/7)^x=1296/2401	${(\frac{6}{7})}^{x} = \frac{1296}{2401}$
14212	Solve for x	(200sin(105))/(sin(22))=x	$\frac{200 \sin (105)}{\sin (22)} = x$
14213	Solve for x	(2sin(x)+3cos(x))^2+(3sin(x)-2cos(x))^2=13	${(2 \sin (x) + 3 \cos (x))}^{2} + {(3 \sin (x) - 2 \cos (x))}^{2} = 13$
14214	Solve for x	(2x+3)^(3/2)=64	${(2 x + 3)}^{\frac{3}{2}} = 64$
14215	Solve for x	(4x+4)/(x-4)=9	$\frac{4 x + 4}{x - 4} = 9$
14216	Solve for x	(2/5)^x=16/625	${(\frac{2}{5})}^{x} = \frac{16}{625}$
14217	Solve for x	(2/5)^x=4/25	${(\frac{2}{5})}^{x} = \frac{4}{25}$
14218	Solve for x	(2/5)^x=625/16	${(\frac{2}{5})}^{x} = \frac{625}{16}$
14219	Solve for x	(2/5)^x=8/125	${(\frac{2}{5})}^{x} = \frac{8}{125}$
14220	Solve for x	(cot(x)+1)sin(x)=0	$(\cot (x) + 1) \sin (x) = 0$
14221	Solve for x	(cot(x)-1)( square root of 3cot(x)+1)=0	$(\cot (x) - 1) (\sqrt{3} \cot (x) + 1) = 0$
14222	Solve for w	p=2(l+w)	$p = 2 (l + w)$
14223	Solve for x	(1/5)^(-2x^2-4)=(1/125)^(-8x+22)	${(\frac{1}{5})}^{- 2 x^{2} - 4} = {(\frac{1}{125})}^{- 8 x + 22}$
14224	Solve for x	(cot(x)-csc(x))(cos(x)+1)=-sin(x)	$(\cot (x) - \csc (x)) (\cos (x) + 1) = - \sin (x)$
14225	Solve for x	(tan(x)+1)(2sin(x)- square root of 3)=0	$(\tan (x) + 1) (2 \sin (x) - \sqrt{3}) = 0$
14226	Solve for x	(tan(x)+1)(cos(x)-1)=0	$(\tan (x) + 1) (\cos (x) - 1) = 0$
14227	Solve for x	(1/4)^(2x+2)=64^(x-1)	${(\frac{1}{4})}^{2 x + 2} = 64^{x - 1}$
14228	Solve for x	0.017=16^(4x)	$0.017 = 16^{4 x}$
14229	Solve for x	(30+x)(sin(31))=x(sin(52))	$(30 + x) (\sin (31)) = x (\sin (52))$
14230	Solve for x	(csc(x)+2)(csc(x)- square root of 2)=0	$(\csc (x) + 2) (\csc (x) - \sqrt{2}) = 0$
14231	Solve for x	(sin(2x)+cos(2x))^2=1	${(\sin (2 x) + \cos (2 x))}^{2} = 1$
14232	Solve for x	sin(x)^2=3/4	$\sin^{2} (x) = \frac{3}{4}$
14233	Solve for x	(x+11)^2=-36	${(x + 11)}^{2} = - 36$
14234	Solve for x	(x+2)^(2/3)=27	${(x + 2)}^{\frac{2}{3}} = 27$
14235	Solve for x	(x-3)/(x-1)=1/(x-1)+4	$\frac{x - 3}{x - 1} = \frac{1}{x - 1} + 4$
14236	Solve for x	(x+1)^3=27	${(x + 1)}^{3} = 27$
14237	Solve for x	(x-8)^2=4	${(x - 8)}^{2} = 4$
14238	Solve for x	\|2x+7\|=12	$\| 2 x + 7 \| = 12$
14239	Solve for x	(x^2-1)/(x-3)=8/(x-3)	$\frac{x^{2} - 1}{x - 3} = \frac{8}{x - 3}$
14240	Solve for x	\|4/3-x/3\|=5/3	$\| \frac{4}{3} - \frac{x}{3} \| = \frac{5}{3}$
14241	Solve for x	1/(25^(3x))=625^(3x)	$\frac{1}{25^{3 x}} = 625^{3 x}$
14242	Solve for x	(x-5)^(3/4)=27	${(x - 5)}^{\frac{3}{4}} = 27$
14243	Simplify Using Half-Angle Formula	tan(112.5 degrees )	$\frac{1}{2} \cdot (\sqrt{2} \sin (v)) + \frac{1}{2} \cdot (\sqrt{2} \cos (v)) = \frac{1}{2} \cdot \sqrt{3}$
14244	Solve for x	(10^x+10^(-x))/(10^x-10^(-x))=6	$\frac{10^{x} + 10^{- x}}{10^{x} - 10^{- x}} = 6$
14245	Solve for x	log base 2 of (x)^2+2 log base 2 of x=15	$\log_{2} ({(x)}^{2}) + 2 \log_{2} (x) = 15$
14246	Solve for x	( log base 6 of 15x)/( log base 6 of 5x)=2	$\frac{\log_{6} (15 x)}{\log_{6} (5 x)} = 2$
14247	Solve for t	2sin(t)cos(t)+sin(t)-2cos(t)-1=0	$2 \sin (t) \cos (t) + \sin (t) - 2 \cos (t) - 1 = 0$
14248	Solve for t	2sin(t)cos(t)=2cos(t)	$2 \sin (t) \cos (t) = 2 \cos (t)$
14249	Solve for s	p=-1/2s^2+280s-1200	$p = - \frac{1}{2} s^{2} + 280 s - 1200$
14250	Solve for t	10000=20000(1.3)^(-0.234*t)	$10000 = 20000 {(1.3)}^{- 0.234 \cdot t}$
14251	Solve for t	2sin(t)+5=6	$2 \sin (t) + 5 = 6$
14252	Solve for t	3=7cos(pi/3t)	$3 = 7 \cos (\frac{π}{3} t)$
14253	Solve for t	20=1/2*((-32)t^2)+60t+60	$20 = \frac{1}{2} \cdot ((- 32) t^{2}) + 60 t + 60$
14254	Solve for t	2cos(t)^2tan(t)-tan(t)=0	$2 \cos^{2} (t) \tan (t) - \tan (t) = 0$
14255	Solve for t	2-8cos(t)^2=0	$2 - 8 \cos^{2} (t) = 0$
14256	Solve for t	85=175t-16t^2	$85 = 175 t - 16 t^{2}$
14257	Solve for t	7cot(t)^2+1.2=6	$7 \cot^{2} (t) + 1.2 = 6$
14258	Solve for t	4=-5sin((3pi)/4t)	$4 = - 5 \sin (\frac{3 π}{4} t)$
14259	Solve for t	5e^(2t)=42	$5 e^{2 t} = 42$
14260	Solve for t	h=-2.5cos((4pi)/3t)+2.5	$h = - 2.5 \cos (\frac{4 π}{3} t) + 2.5$
14261	Solve for t	P=100-20cos((8pit)/3)	$P = 100 - 20 \cos (\frac{8 π t}{3})$
14262	Solve for t	h=vsin(x)t+1/2*(gt^2)	$h =$ vsin $(x) t + \frac{1}{2} \cdot (g t^{2})$
14263	Solve for t	sin(t)+sin(2t)=0	$\sin (t) + \sin (2 t) = 0$
14264	Solve for t	sin(t)=1/4	$\sin (t) = \frac{1}{4}$
14265	Solve for t	sin(2t)+sin(t)+4cos(t)=-2	$\sin (2 t) + \sin (t) + 4 \cos (t) = - 2$
14266	Solve for t	sin(2t)+sin(t)=0	$\sin (2 t) + \sin (t) = 0$
14267	Solve for t	sin(3t)=1/2	$\sin (3 t) = \frac{1}{2}$
14268	Solve for t	csc(t) = square root of 2	$\csc (t) = \sqrt{2}$
14269	Solve for t	h=15cos(pi/20t)	$h = 15 \cos (\frac{π}{20} t)$
14270	Solve for t	d=6cos(pit)	$d = 6 \cos (π t)$
14271	Solve for t	cos(t)=4	$\cos (t) = 4$
14272	Solve for t	cot(t)=-1	$\cot (t) = - 1$
14273	Solve for t	csc(t)=-2/( square root of 3)	$\csc (t) = - \frac{2}{\sqrt{3}}$
14274	Solve for t	d=0.4sin(1760pit)	$d = 0.4 \sin (1760 π t)$
14275	Solve for t	cos(2t)+3cos(t)=1	$\cos (2 t) + 3 \cos (t) = 1$
14276	Solve for t	2sin(t)=1	$2 \sin (t) = 1$
14277	Solve for t	60=100/(1+25e^(-0.095t))	$60 = \frac{100}{1 + 25 e^{- 0.095 t}}$
14278	Solve for t	9=3+21t-16t^2	$9 = 3 + 21 t - 16 t^{2}$
14279	Solve for t	cos(t)=1/2	$\cos (t) = \frac{1}{2}$
14280	Solve for t	100000=74.50+43.75sin((pit)/6)	$100000 = 74.5 + 43.75 \sin (\frac{π t}{6})$
14281	Solve for t	14.55=2.35sin(0.017t+1.86)+12.2	$14.55 = 2.35 \sin (0.017 t + 1.86) + 12.2$
14282	Solve for t	1800=2600(1-0.51e^(-0.075t))^3	$1800 = 2600 {(1 - 0.51 e^{- 0.075 t})}^{3}$
14283	Solve for t	(23sin(35))/20=sin(t)	$\frac{23 \sin (35)}{20} = \sin (t)$
14284	Solve for t	e^(-t)=0.04	$e^{- t} = 0.04$
14285	Solve for t	0.85=100/(1+25e^(-0.095t))	$0.85 = \frac{100}{1 + 25 e^{- 0.095 t}}$
14286	Solve for t	(sin(t)+cos(t))^2=1+sin(2t)	${(\sin (t) + \cos (t))}^{2} = 1 + \sin (2 t)$
14287	Solve for t	5/t+5/(t+1)=1	$\frac{5}{t} + \frac{5}{t + 1} = 1$
14288	Solve for t	log base b of t^2-3t- log base b of t = log base b of 3	$\log_{b} (t^{2} - 3 t) - \log_{b} (t) = \log_{b} (3)$
14289	Solve for s	cos(s)=0.8766	$\cos (s) = 0.8766$
14290	Solve for t	0.45=2800000(1-e^(-0.03t))	$0.45 = 2800000 (1 - e^{- 0.03 t})$
14291	Solve for s	sin(s)=1/2	$\sin (s) = \frac{1}{2}$
14292	Solve for r	s=c/(1-r)	$s = \frac{c}{1 - r}$
14293	Solve for r	tan(29)=420/r	$\tan (29) = \frac{420}{r}$
14294	Solve for s	P=4s	$P = 4 s$
14295	Solve for v	6v=-3i+7j	$6 v = - 3 i + 7 j$
14296	Solve for v	a(k)=1/2*(mv^2)	$a (k) = \frac{1}{2} \cdot (m v^{2})$
14297	Solve for v	sin(v)=sin((15pi)/14)	$\sin (v) = \sin (\frac{15 π}{14})$
14298	Solve for v	v^2+7v+12=0	$v^{2} + 7 v + 12 = 0$
14299	Solve for u	u=-14i+10j	$u = - 14 i + 10 j$
14300	Solve for u	tan(40)=u/4	$\tan (40) = \frac{u}{4}$