Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
801	Evaluate	29/52	$\frac{29}{52}$
802	Evaluate	(47!)/(42!*5!)	$\frac{47!}{42! \cdot 5!}$
803	Evaluate	4/15+4/5	$\frac{4}{15} + \frac{4}{5}$
804	Evaluate	4/(13/(9/13))	$\frac{4}{\frac{13}{\frac{9}{13}}}$
805	Evaluate	124/5	$\frac{124}{5}$
806	Evaluate	20/132	$\frac{20}{132}$
807	Evaluate	1241/5	$\frac{1241}{5}$
808	Evaluate	14/33	$\frac{14}{33}$
809	Evaluate	1716/3	$\frac{1716}{3}$
810	Evaluate	(3/7)/(4/7)	$\frac{\frac{3}{7}}{\frac{4}{7}}$
811	Evaluate	0^2-41-20	$0^{2} - 4 \cdot 1 \cdot - 20$
812	Evaluate	1/362880	$\frac{1}{362880}$
813	Evaluate	17000(1+8/36500)^10220	$17000 {(1 + \frac{8}{36500})}^{10220}$
814	Evaluate	185-(v((-185)^2-415800))/(2(1))	$185 - \frac{v ({(- 185)}^{2} - 4 \cdot 1 \cdot 5800)}{2 (1)}$
815	Evaluate	11000(1+0.05)^730	$11000 {(1 + 0.05)}^{730}$
816	Evaluate	1*((5/6)^5(1/6)^(5-0))	$1 \cdot ({(\frac{5}{6})}^{5} {(\frac{1}{6})}^{5 - 0})$
817	Evaluate	(5251504948)/5	$\frac{52 \cdot 51 \cdot 50 \cdot 49 \cdot 48}{5}$
818	Evaluate	58/100	$\frac{58}{100}$
819	Evaluate	6^2*3.14	$6^{2} \cdot 3.14$
820	Evaluate	70/11	$\frac{70}{11}$
821	Evaluate	700/1716	$\frac{700}{1716}$
822	Evaluate	450(1+0.12(2))^8	$450 {(1 + 0.12 (2))}^{8}$
823	Evaluate	3000e^((0.0414)(4))	$3000 e^{(0.0414) (4)}$
824	Evaluate	500(((1+0.084/12)^(1235)-1)/(0.084/12))	$500 \cdot (\frac{{(1 + \frac{0.084}{12})}^{12 \cdot 35} - 1}{\frac{0.084}{12}})$
825	Evaluate	5433007(1+0.073)^26	$5433007 {(1 + 0.073)}^{26}$
826	Evaluate	69/2+43	$6 \cdot \frac{9}{2} + 4 \cdot 3$
827	Evaluate	63.824+65	$63.824 + 65$
828	Evaluate	5	$5$
829	Evaluate	1+0.045(1/12)	$1 + 0.045 (\frac{1}{12})$
830	Evaluate	1010101010*10	$10 \cdot 10 \cdot 10 \cdot 10 \cdot 10 \cdot 10$
831	Evaluate	12(75-3*12)	$12 (75 - 3 \cdot 12)$
832	Evaluate	234	$2 \cdot 3 \cdot 4$
833	Evaluate	202e^((-0.490280)(18))	$202 e^{(- 0.49028) (18)}$
834	Evaluate	2000e^((0.0799)(7))	$2000 e^{(0.0799) (7)}$
835	Evaluate	24-4*4+4	$24 - 4 \cdot 4 + 4$
836	Evaluate	24-(2^3+1)÷(3^3-12*2)	$24 - (2^{3} + 1) \div (3^{3} - 12 \cdot 2)$
837	Evaluate	26!	$26!$
838	Evaluate	-3(6c)	$- 3 (6 c)$
839	Evaluate	28*6	$28 \cdot 6$
840	Evaluate	4(0.353)(1-0.353)^3	$4 \cdot (0.353) \cdot {(1 - 0.353)}^{3}$
841	Find the Equation Using Two Points	(-2,-1) , (2,-6)	$(- 2, - 1) (2, - 6)$
842	Find the Equation Using Two Points	(2,8) , (4,12)	$(2, 8)$ , $(4, 12)$
843	Find the Slope	(1,4) , (-7,-4)	$(1, 4)$ , $(- 7, - 4)$
844	Find the Equation Using Point-Slope Formula	(-16,0) , (0,-4)	$(- 16, 0) (0, - 4)$
845	Find the Parallel Line	(3,6) , 4x+y=3	$(3, 6)$ , $4 x + y = 3$
846	Determine if @POINT is a Solution	(2,-1) , x^2+y^2-6x+8y=-15	$(2, - 1)$ , $x^{2} + y^{2} - 6 x + 8 y = - 15$
847	Write in Exponential Form	log of 4x = log of 3+ log of x+2	$\log (4 x) = \log (3) + \log (x + 2)$
848	Write in Exponential Form	log base 4 of x=3/5	$\log_{4} (x) = \frac{3}{5}$
849	Write in Exponential Form	x = log base 64 of 256	$x = \log_{64} (256)$
850	Expand the Logarithmic Expression	natural log of square root of (2x-1)/(1+x)	$\ln (\sqrt{\frac{2 x - 1}{1 + x}})$
851	Solve the Function Operation	f(x)=-3x-5 , g(x)=-3x^2-5x+4 , (fg)(x)	$f (x) = - 3 x - 5$ , $g (x) = - 3 x^{2} - 5 x + 4$ , $(f g) (x)$
852	Maximize the Equation given the Constraints	p=5x+6y+7z , 6x+y+5z=16 , 2x+y+9z=96 , 8x+7y+5z=133 , 6x+y+z=77 , x=0 , y=0 , z=0	$p = 5 x + 6 y + 7 z$ , $6 x + y + 5 z = 16$ , $2 x + y + 9 z = 96$ , $8 x + 7 y + 5 z = 133$ , $6 x + y + z = 77$ , $x = 0$ , $y = 0$ , $z = 0$
853	Solve Using a Matrix by Elimination	2x-3y=-8 , 5x+3y=1	$2 x - 3 y = - 8$ , $5 x + 3 y = 1$
854	Solve Using a Matrix by Elimination	3u-2v=12 , 7u+2v=8	$3 u - 2 v = 12$ , $7 u + 2 v = 8$
855	Solve Using a Matrix by Elimination	-16x1+12x2=4 , 12x1-9x2=-3	$- 16 x \cdot 1 + 12 x \cdot 2 = 4$ , $12 x \cdot 1 - 9 x \cdot 2 = - 3$
856	Solve Using a Matrix by Elimination	2x+4y=-6 , -3x-5y=12	$2 x + 4 y = - 6$ , $- 3 x - 5 y = 12$
857	Solve Using a Matrix by Elimination	2x+9y=54 , -2x+y=26	$2 x + 9 y = 54$ , $- 2 x + y = 26$
858	Find the Equation Using Point-Slope Formula	(2,-3) , (-10,-12)	$(2, - 3) (- 10, - 12)$
859	Solve Using a Matrix by Elimination	2x1+x2-x4=4 , x2+x4+x5=4 , x1-x3+2x*4=0	$2 x \cdot 1 + x \cdot 2 - x \cdot 4 = 4$ , $x \cdot 2 + x \cdot 4 + x \cdot 5 = 4$ , $x \cdot 1 - x \cdot 3 + 2 x \cdot 4 = 0$
860	Solve Using a Matrix by Elimination	20x+20x=15.20 , 20x+12x=14.52	$20 x + 20 x = 15.2$ , $20 x + 12 x = 14.52$
861	Solve Using a Matrix by Elimination	2x-y=-9 , -4x+2y=18	$2 x - y = - 9$ , $- 4 x + 2 y = 18$
862	Solve Using a Matrix by Elimination	x-2y=3 , 8x-16y=24 , 4x-8y=12	$x - 2 y = 3$ , $8 x - 16 y = 24$ , $4 x - 8 y = 12$
863	Solve Using a Matrix by Elimination	2y=14 , x=y+1	$2 y = 14$ , $x = y + 1$
864	Solve Using a Matrix by Elimination	7x+12y=-1 , 5x-3y=7	$7 x + 12 y = - 1$ , $5 x - 3 y = 7$
865	Solve Using a Matrix by Elimination	x-y+3z=13 , 4x+y+2z=17 , 3x+2y+2z=1	$x - y + 3 z = 13$ , $4 x + y + 2 z = 17$ , $3 x + 2 y + 2 z = 1$
866	Solve Using a Matrix by Elimination	-3x+y=8 , 7x+y=-12	$- 3 x + y = 8$ , $7 x + y = - 12$
867	Solve Using a Matrix by Elimination	y=3x+z-2 , z=3x+4 , y=5z	$y = 3 x + z - 2$ , $z = 3 x + 4$ , $y = 5 z$
868	Solve Using a Matrix by Row Operations	2x+5y-2z=14 , 5x-6y+2z=0 , 4x-y+3z=-7	$2 x + 5 y - 2 z = 14$ , $5 x - 6 y + 2 z = 0$ , $4 x - y + 3 z = - 7$
869	Solve Using a Matrix by Row Operations	5x-9y=5 , 30x-54y=30	$5 x - 9 y = 5$ , $30 x - 54 y = 30$
870	Solve Using an Augmented Matrix	3x+2y+4z=80 , y-3z=10	$3 x + 2 y + 4 z = 80$ , $y - 3 z = 10$
871	Solve Using an Augmented Matrix	3x+2y+z=3 , x-2y+z=5	$3 x + 2 y + z = 3$ , $x - 2 y + z = 5$
872	Add	[[2,-1],[3,0]]+[[-3,1],[2,-3]]	$[\begin{array}{c} 2 & - 1 \\ 3 & 0 \end{array}] + [\begin{array}{c} - 3 & 1 \\ 2 & - 3 \end{array}]$
873	Add	[[2,2]]+[[1,4]]	$[\begin{array}{c} 2 & 2 \end{array}] + [\begin{array}{c} 1 & 4 \end{array}]$
874	Add	[[2,3,1],[5,8,7]]+[[4,5,4],[-8,3,6]]	$[\begin{array}{c} 2 & 3 & 1 \\ 5 & 8 & 7 \end{array}] + [\begin{array}{c} 4 & 5 & 4 \\ - 8 & 3 & 6 \end{array}]$
875	Solve Using an Augmented Matrix	x1-3x2=-10 , 3x1-x2=2	$x \cdot 1 - 3 x \cdot 2 = - 10$ , $3 x \cdot 1 - x \cdot 2 = 2$
876	Solve Using an Augmented Matrix	x+y+z=7 , x-y+2z=7 , 2x+3z=15	$x + y + z = 7$ , $x - y + 2 z = 7$ , $2 x + 3 z = 15$
877	Solve Using an Augmented Matrix	x-3y=-6 , 5x+3y=42	$x - 3 y = - 6$ , $5 x + 3 y = 42$
878	Solve Using an Augmented Matrix	3x+2y=14 , x-4y=-14	$3 x + 2 y = 14$ , $x - 4 y = - 14$
879	Solve Using an Augmented Matrix	3x+7y+9z=0 , x+2y+3z=2 , x+4y+z=2	$3 x + 7 y + 9 z = 0$ , $x + 2 y + 3 z = 2$ , $x + 4 y + z = 2$
880	Solve Using an Augmented Matrix	8x-5y+5z=-5 , 8x-5y+3z=4 , 9y-9z=-9	$8 x - 5 y + 5 z = - 5$ , $8 x - 5 y + 3 z = 4$ , $9 y - 9 z = - 9$
881	Solve Using an Augmented Matrix	3x-2y+4z=11 , 2x-4y+5z=4 , x+2y-z=10	$3 x - 2 y + 4 z = 11$ , $2 x - 4 y + 5 z = 4$ , $x + 2 y - z = 10$
882	Solve Using an Augmented Matrix	2x+4y=-6 , -3x-5y=12	$2 x + 4 y = - 6$ , $- 3 x - 5 y = 12$
883	Solve Using an Augmented Matrix	2x+5y-2z=14 , 5x-6y+2z=0 , 4x-y+3z=-7	$2 x + 5 y - 2 z = 14$ , $5 x - 6 y + 2 z = 0$ , $4 x - y + 3 z = - 7$
884	Solve Using an Augmented Matrix	120x+150y+180x=38700 , 180x+80y+80z=42200 , 5x+6y+4z=900	$120 x + 150 y + 180 x = 38700$ , $180 x + 80 y + 80 z = 42200$ , $5 x + 6 y + 4 z = 900$
885	Solve Using a Matrix by Row Operations	3x-4y=16 , 6x+8y=-2	$3 x - 4 y = 16$ , $6 x + 8 y = - 2$
886	Solve Using a Matrix by Elimination	x-3y+z=-9 , x+y-3z=-5 , 3x-y+z=11	$x - 3 y + z = - 9$ , $x + y - 3 z = - 5$ , $3 x - y + z = 11$
887	Solve Using a Matrix by Elimination	x-5y=35 , 5x-4y=28	$x - 5 y = 35$ , $5 x - 4 y = 28$
888	Solve Using a Matrix by Row Operations	x+y+z-2v+3w+u=1 , -2x+3y-2z+v+2w+3u=3 , 2x+2y-4z+2v+w+3u=2 , -2x+y+z-2v-2w-2u=1 , -3x+2y-3z+2v+2w-u=-4 , -x+y+2z+v-2w-3u=3	$x + y + z - 2 v + 3 w + u = 1$ , $- 2 x + 3 y - 2 z + v + 2 w + 3 u = 3$ , $2 x + 2 y - 4 z + 2 v + w + 3 u = 2$ , $- 2 x + y + z - 2 v - 2 w - 2 u = 1$ , $- 3 x + 2 y - 3 z + 2 v + 2 w - u = - 4$ , $- x + y + 2 z + v - 2 w - 3 u = 3$
889	Solve Using a Matrix by Row Operations	x-2y+3z=4 , 2x+y-4z=3 , -3x+4y-z=-2	$x - 2 y + 3 z = 4$ , $2 x + y - 4 z = 3$ , $- 3 x + 4 y - z = - 2$
890	Add	[[-2],[-3],[-6],[2]]+[[-4],[6],[0],[-3]]	$[\begin{array}{c} - 2 \\ - 3 \\ - 6 \\ 2 \end{array}] + [\begin{array}{c} - 4 \\ 6 \\ 0 \\ - 3 \end{array}]$
891	Add	[[5,4]]+[[-2],[7]]	$[\begin{array}{c} 5 & 4 \end{array}] + [\begin{array}{c} - 2 \\ 7 \end{array}]$
892	Add	[[-9,8,5],[9,-6,2]][[1,-5,2],[-7,-4,-6]]	$[\begin{array}{c} - 9 & 8 & 5 \\ 9 & - 6 & 2 \end{array}] [\begin{array}{c} 1 & - 5 & 2 \\ - 7 & - 4 & - 6 \end{array}]$
893	Multiply the Matrices	[[2/5,1/10,-3/10],[1/5,-1/5,3/5],[-3/5,1/10,7/10]][[x],[y],[z]]	$[\begin{array}{c} \frac{2}{5} & \frac{1}{10} & - \frac{3}{10} \\ \frac{1}{5} & - \frac{1}{5} & \frac{3}{5} \\ - \frac{3}{5} & \frac{1}{10} & \frac{7}{10} \end{array}] [\begin{array}{c} x \\ y \\ z \end{array}]$
894	Multiply the Matrices	[[-1,1,0]][[1],[-1],[1]]	$[\begin{array}{c} - 1 & 1 & 0 \end{array}] [\begin{array}{c} 1 \\ - 1 \\ 1 \end{array}]$
895	Subtract the Matrices	[[4],[0]]-[[0],[2]]	$[\begin{array}{c} 4 \\ 0 \end{array}] - [\begin{array}{c} 0 \\ 2 \end{array}]$
896	Multiply the Matrices	[[1],[-3],[2]][[-1],[3],[-2]]	$[\begin{array}{c} 1 \\ - 3 \\ 2 \end{array}] [\begin{array}{c} - 1 \\ 3 \\ - 2 \end{array}]$
897	Multiply the Matrices	[[2,-1],[6,0]]*[[-4,0],[3,-8],[-7,0]]	$[\begin{array}{c} 2 & - 1 \\ 6 & 0 \end{array}] \cdot [\begin{array}{c} - 4 & 0 \\ 3 & - 8 \\ - 7 & 0 \end{array}]$
898	Multiply the Matrices	[[3,6,-5],[1,2,4],[4,-4,6]][[35],[-11],[-28]]	$[\begin{array}{c} 3 & 6 & - 5 \\ 1 & 2 & 4 \\ 4 & - 4 & 6 \end{array}] [\begin{array}{c} 35 \\ - 11 \\ - 28 \end{array}]$
899	Multiply the Matrices	[[0.45,0.55],[0.68,0.32],[0.61,0.39]][[8000,6000,3000]]	$[\begin{array}{c} 0.45 & 0.55 \\ 0.68 & 0.32 \\ 0.61 & 0.39 \end{array}] [\begin{array}{c} 8000 & 6000 & 3000 \end{array}]$
900	Multiply the Matrices	[[-4,5,1]][[3,-3,5],[4,1,0],[0,-1,3]]	$[\begin{array}{c} - 4 & 5 & 1 \end{array}] [\begin{array}{c} 3 & - 3 & 5 \\ 4 & 1 & 0 \\ 0 & - 1 & 3 \end{array}]$