Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
15501	Find the Number of Possibilities	52 choose 10	${}_{52}C_{10}$
15502	Evaluate	(12!)/(10!*2!)	$\frac{12!}{10! \cdot 2!}$
15503	Solve for x	y=\|x+4\|+5	$y = \| x + 4 \| + 5$
15504	Solve for z	-2/7x+6/7y-5/7z=0	$- \frac{2}{7} x + \frac{6}{7} y - \frac{5}{7} z = 0$
15505	Multiply	240*0.999497	$240 \cdot 0.999497$
15506	Solve for y	\|-12-3y\|<6	$\| - 12 - 3 y \| < 6$
15507	Solve for x	x-4y>=4	$x - 4 y \geq 4$
15508	Solve for x	-6<2x-4<4	$- 6 < 2 x - 4 < 4$
15509	Solve for x	5x-10<6x-8	$5 x - 10 < 6 x - 8$
15510	Solve for x	5x+4<-9	$5 x + 4 < - 9$
15511	Find the Slope and y-intercept	y=15	$y = 15$
15512	Find the Slope and y-intercept	2.50x+5.77y=6.45	$2.5 x + 5.77 y = 6.45$
15513	Solve by Factoring	-sigma^3+9.96sigma^2+384.47sigma-20095.37=0	$- σ^{3} + 9.96 σ^{2} + 384.47 σ - 20095.37 = 0$
15514	Find the Roots (Zeros)	(sin(theta)+cos(theta))^2+(sin(theta)-cos(theta))^2=2	${(\sin (θ) + \cos (θ))}^{2} + {(\sin (θ) - \cos (θ))}^{2} = 2$
15515	Subtract	1-7/4	$1 - \frac{7}{4}$
15516	Solve the Matrix Equation	[[2,1],[-1,3]]A=[[4,2],[1,3]]	$[\begin{array}{c} 2 & 1 \\ - 1 & 3 \end{array}] A = [\begin{array}{c} 4 & 2 \\ 1 & 3 \end{array}]$
15517	Add	110(2)+100(2)	$110 (2) + 100 (2)$
15518	Evaluate	(12!)/((12-10)!*10!)	$\frac{12!}{(12 - 10)! \cdot 10!}$
15519	Evaluate	(25!)/(20!)	$\frac{25!}{20!}$
15520	Write in Standard Form	y=-5/2x-2	$y = - \frac{5}{2} x - 2$
15521	Expand Using the Binomial Theorem	((4x)/5-5/(2x))^9	${(\frac{4 x}{5} - \frac{5}{2 x})}^{9}$
15522	Find the Determinant of the Resulting Matrix	[[0.3,0.3],[0.35,0.4]]x[[4],[6]]	$[\begin{array}{c} 0.3 & 0.3 \\ 0.35 & 0.4 \end{array}] x [\begin{array}{c} 4 \\ 6 \end{array}]$
15523	Find the Domain and Range	(1,7) , (2,5) , (3,3) , (4,2)	$(1, 7)$ , $(2, 5)$ , $(3, 3)$ , $(4, 2)$
15524	Find Reduced Row Echelon Form	[[2,-5,-3,32],[1,-4,0,22]]	$[\begin{array}{c} 2 & - 5 & - 3 & 32 \\ 1 & - 4 & 0 & 22 \end{array}]$
15525	Find Reduced Row Echelon Form	[[2,-5,3,9],[2,4,-1,13],[6,-6,5,31]]	$[\begin{array}{c} 2 & - 5 & 3 & 9 \\ 2 & 4 & - 1 & 13 \\ 6 & - 6 & 5 & 31 \end{array}]$
15526	Find the Inverse	[[3,-5],[2,-3]]	$[\begin{array}{c} 3 & - 5 \\ 2 & - 3 \end{array}]$
15527	Find the Median	1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10	$1$ , $2$ , $3$ , $4$ , $5$ , $6$ , $7$ , $8$ , $9$ , $10$
15528	Multiply the Matrices	[[3,-2],[-1,1]][[49,47,30,6,69,39,45,68],[73,66,45,6,94,52,65,93]]	$[\begin{array}{c} 3 & - 2 \\ - 1 & 1 \end{array}] [\begin{array}{c} 49 & 47 & 30 & 6 & 69 & 39 & 45 & 68 \\ 73 & 66 & 45 & 6 & 94 & 52 & 65 & 93 \end{array}]$
15529	Simplify the Matrix	[[1,0,0,3],[0,1,0,4],[0,0,0,0]]	$[\begin{array}{c} 1 & 0 & 0 & 3 \\ 0 & 1 & 0 & 4 \\ 0 & 0 & 0 & 0 \end{array}]$
15530	Solve Using an Augmented Matrix	2x+9y=4 , x+10y=2	$2 x + 9 y = 4$ , $x + 10 y = 2$
15531	Find f(g(x))	f(x)=2x+1 , g(x)=2/(x+4)	$f (x) = 2 x + 1$ , $g (x) = \frac{2}{x + 4}$
15532	Evaluate	(11!)/(3!(11-3)!)	$\frac{11!}{3! (11 - 3)!}$
15533	Evaluate	-1166/3	$- \frac{1166}{3}$
15534	Evaluate	(13!)/(10!*3!)	$\frac{13!}{10! \cdot 3!}$
15535	Evaluate	(1-3.281)^2	${(1 - 3.281)}^{2}$
15536	Find the Reference Angle	(15x-18)(2x+11)	$(15 x - 18) (2 x + 11)$
15537	Find the Number of Possibilities	3C	$3 C$
15538	Find the Number of Possibilities	nCr	$n C r$
15539	Find the Number of Possibilities	9 permute 12	${}_{9}P_{12}$
15540	Find the Number of Possibilities	44 choose 3	${}_{44}C_{3}$
15541	Find the Number of Possibilities	41 choose 4	${}_{41}C_{4}$
15542	Find the Number of Possibilities	24 choose 5	${}_{24}C_{5}$
15543	Find the Number of Possibilities	36 choose 1	${}_{36}C_{1}$
15544	Find the Number of Possibilities	36 choose 36	${}_{36}C_{36}$
15545	Find the Number of Possibilities	3 choose 7	${}_{3}C_{7}$
15546	Find the Number of Possibilities	25 permute 2	${}_{25}P_{2}$
15547	Find the Number of Possibilities	25 permute 4	${}_{25}P_{4}$
15548	Solve for a	36a^-2+77a^-1-9=0	$36 a^{- 2} + 77 a^{- 1} - 9 = 0$
15549	Solve for a	3a=a(1+0.08/52)^52	$3 a = a {(1 + \frac{0.08}{52})}^{52}$
15550	Solve for a	3a-2=11	$3 a - 2 = 11$
15551	Solve for a	4(a-(7-a))=3(2a+4)	$4 (a - (7 - a)) = 3 (2 a + 4)$
15552	Solve for a	4a+2=2a+10	$4 a + 2 = 2 a + 10$
15553	Solve for a	5a^2-33a=14	$5 a^{2} - 33 a = 14$
15554	Solve for a	5=(15-24a)/6	$5 = \frac{15 - 24 a}{6}$
15555	Solve for a	50=a(-3)^2+5	$50 = a {(- 3)}^{2} + 5$
15556	Solve for A	6000(1+56/6000)^72=A	$6000 {(1 + \frac{56}{6000})}^{72} = A$
15557	Solve for a	-6a+5+7a=9-27	$- 6 a + 5 + 7 a = 9 - 27$
15558	Solve for a	7a+4b=1	$7 a + 4 b = 1$
15559	Solve for a	7a-8+25=3a-5	$7 a - 8 + 25 = 3 a - 5$
15560	Solve for A	90000=A(1+(0.03/12))^(-1251)	$90000 = A \cdot {(1 + (\frac{0.03}{12}))}^{- 12 \cdot 51}$
15561	Solve for a	900000(0.0725)(a)=30	$900000 (0.0725) (a) = 30$
15562	Solve for a	-99=-11a	$- 99 = - 11 a$
15563	Solve for A	A(60)=1200(1/2)^(t/14)	$A (60) = 1200 {(\frac{1}{2})}^{\frac{t}{14}}$
15564	Solve for a	a(7)=500*2.718281828459045^(0.04(7))	$a (7) = 500 \cdot {2.71828182}^{0.04 (7)}$
15565	Solve for a	a(bc)=(ab)c	$a (b c) = (a b) c$
15566	Solve for a	a(n)=32*(1/8)^(n-1)	$a (n) = 32 \cdot {(\frac{1}{8})}^{n - 1}$
15567	Solve for a	a=(234((1+0.0025)^72-1))/0.0025	$a = \frac{234 ({(1 + 0.0025)}^{72} - 1)}{0.0025}$
15568	Solve for a	a=(545((1+0.0025)^72-1))/0.0025	$a = \frac{545 ({(1 + 0.0025)}^{72} - 1)}{0.0025}$
15569	Solve for a	a=(1+0.0335/12)^12	$a = {(1 + \frac{0.0335}{12})}^{12}$
15570	Solve for A	A=(1+0.11/4)^4-1	$A = {(1 + \frac{0.11}{4})}^{4} - 1$
15571	Solve for A	A=(1+0.12/12)^12-1	$A = {(1 + \frac{0.12}{12})}^{12} - 1$
15572	Solve for A	A=(26000((1+0.132/4)^((4)(15))-1))/(0.132/4)	$A = \frac{26000 ({(1 + \frac{0.132}{4})}^{(4) (15)} - 1)}{\frac{0.132}{4}}$
15573	Solve for a	A=a/360*(pr^2)	$A = \frac{a}{360} \cdot (p r^{2})$
15574	Solve for A	A = square root of 10(10-5)(10-6)(10-9)	$A = \sqrt{10 (10 - 5) (10 - 6) (10 - 9)}$
15575	Solve for a	a=0.02t+1.1	$a = 0.02 t + 1.1$
15576	Solve for A	A=1000(1+0.08/365)^1095	$A = 1000 {(1 + \frac{0.08}{365})}^{1095}$
15577	Solve for A	A=1000e^0.08	$A = 1000 e^{0.08}$
15578	Solve for a	a=10000(1+0.05/4)^(4*3)	$a = 10000 {(1 + \frac{0.05}{4})}^{4 \cdot 3}$
15579	Solve for a	a=11000(1+0.05/4)^22	$a = 11000 {(1 + \frac{0.05}{4})}^{22}$
15580	Solve for A	A=1200(1+(0.063))(2/3)	$A = 1200 (1 + (0.063)) (\frac{2}{3})$
15581	Solve for A	A=12000(1+0.0125)^88	$A = 12000 {(1 + 0.0125)}^{88}$
15582	Solve for A	A=1300(1+0.125/2)(2)(8)	$A = 1300 (1 + \frac{0.125}{2}) (2) (8)$
15583	Solve for a	a=1300(1+0.125/2)^((2)(8))	$a = 1300 {(1 + \frac{0.125}{2})}^{(2) (8)}$
15584	Solve for a	a=140000(1+(0.12)(0.1))	$a = 140000 (1 + (0.12) (0.1))$
15585	Solve for A	A=(141000(0.51))/((1+0.51)^108-1)	$A = \frac{141000 (0.51)}{{(1 + 0.51)}^{108} - 1}$
15586	Solve for a	a=1500(1+0.08/365)^((365)(10))	$a = 1500 {(1 + \frac{0.08}{365})}^{(365) (10)}$
15587	Solve for A	A=15000(1+6/36500)^12045	$A = 15000 {(1 + \frac{6}{36500})}^{12045}$
15588	Solve for A	A=17000(1+1/9125)^11315	$A = 17000 {(1 + \frac{1}{9125})}^{11315}$
15589	Solve for A	A=17000(1+2/9125)^10220	$A = 17000 {(1 + \frac{2}{9125})}^{10220}$
15590	Solve for a	a=(18500(0.00525))/(1-(1+0.00525)^-60)	$a = \frac{18500 (0.00525)}{1 - {(1 + 0.00525)}^{- 60}}$
15591	Solve for A	A=200(1+0.10)^4	$A = 200 {(1 + 0.1)}^{4}$
15592	Solve for a	a=200(1+0.11/24)^24	$a = 200 {(1 + \frac{0.11}{24})}^{24}$
15593	Solve for A	A=200(1+10/1200)^48	$A = 200 {(1 + \frac{10}{1200})}^{48}$
15594	Solve for A	A=2000(1+25/12)	$A = 2000 (1 + \frac{25}{12})$
15595	Solve for a	a=23000(1+8/36500)^14235	$a = 23000 {(1 + \frac{8}{36500})}^{14235}$
15596	Solve for A	A=2500(1+0.069)^24	$A = 2500 {(1 + 0.069)}^{24}$
15597	Solve for A	A=25000(1+0.0585/12)^12	$A = 25000 {(1 + \frac{0.0585}{12})}^{12}$
15598	Solve for A	A=25000e^((0.065)(100))	$A = 25000 e^{(0.065) (100)}$
15599	Solve for a	a=26000(1+0.043)(5/3)	$a = 26000 (1 + 0.043) (\frac{5}{3})$
15600	Solve for a	a=26000(1+0.043)(5/6)	$a = 26000 (1 + 0.043) (\frac{5}{6})$