Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
201	Find the Number of Possibilities	20 choose 10	${}_{20}C_{10}$
202	Find the Number of Possibilities	18 choose 3	${}_{18}C_{3}$
203	Find the Number of Possibilities	11 choose 7	${}_{11}C_{7}$
204	Find the Number of Possibilities	11 permute 2	${}_{11}P_{2}$
205	Find the Number of Possibilities	12 permute 5	${}_{12}P_{5}$
206	Find the Number of Possibilities	12 choose 9	${}_{12}C_{9}$
207	Find the Number of Possibilities	11 permute 4	${}_{11}P_{4}$
208	Find the Number of Possibilities	11 permute 5	${}_{11}P_{5}$
209	Find the Number of Possibilities	12 choose 1	${}_{12}C_{1}$
210	Find the Number of Possibilities	10 permute 10	${}_{10}P_{10}$
211	Find the Number of Possibilities	10 choose 10	${}_{10}C_{10}$
212	Find the Number of Possibilities	100 choose 5	${}_{100}C_{5}$
213	Find the Number of Possibilities	17 choose 3	${}_{17}C_{3}$
214	Find the Number of Possibilities	16 choose 6	${}_{16}C_{6}$
215	Find the Number of Possibilities	16 permute 4	${}_{16}P_{4}$
216	Find the Number of Possibilities	15 permute 5	${}_{15}P_{5}$
217	Find the Number of Possibilities	16 choose 12	${}_{16}C_{12}$
218	Find the Number of Possibilities	15 choose 8	${}_{15}C_{8}$
219	Find the Number of Possibilities	15 choose 9	${}_{15}C_{9}$
220	Find the Number of Possibilities	15 permute 3	${}_{15}P_{3}$
221	Find the Number of Possibilities	13 choose 8	${}_{13}C_{8}$
222	Find the Number of Possibilities	13 choose 1	${}_{13}C_{1}$
223	Find the Number of Possibilities	14 choose 5	${}_{14}C_{5}$
224	Find the Number of Possibilities	14 choose 7	${}_{14}C_{7}$
225	Find the Number of Possibilities	15 choose 11	${}_{15}C_{11}$
226	Find the Number of Possibilities	14 permute 6	${}_{14}P_{6}$
227	Find the Inverse	[[2,0,5],[0,-1,0],[3,2,7]]	$[\begin{array}{c} 2 & 0 & 5 \\ 0 & - 1 & 0 \\ 3 & 2 & 7 \end{array}]$
228	Find Reduced Row Echelon Form	[[1,1,0],[3,-1,5],[1,-1,-1]]	$[\begin{array}{c} 1 & 1 & 0 \\ 3 & - 1 & 5 \\ 1 & - 1 & - 1 \end{array}]$
229	Find Reduced Row Echelon Form	[[1,-6,2],[0,0,0]]	$[\begin{array}{c} 1 & - 6 & 2 \\ 0 & 0 & 0 \end{array}]$
230	Find Reduced Row Echelon Form	[[2,1,1,350],[0,1,3,350],[2,2,1,400]]	$[\begin{array}{c} 2 & 1 & 1 & 350 \\ 0 & 1 & 3 & 350 \\ 2 & 2 & 1 & 400 \end{array}]$
231	Find the Inverse	[[1,1,1],[2,3,4],[1,3,6]]	$[\begin{array}{c} 1 & 1 & 1 \\ 2 & 3 & 4 \\ 1 & 3 & 6 \end{array}]$
232	Find the Inverse	[[1,2,0],[-3,4,-2],[-5,0,-2]]	$[\begin{array}{c} 1 & 2 & 0 \\ - 3 & 4 & - 2 \\ - 5 & 0 & - 2 \end{array}]$
233	Maximize the Equation given the Constraints	2x-5y=3 , x+4>2y	$2 x - 5 y = 3$ , $x + 4 > 2 y$
234	Maximize the Equation given the Constraints	y-5x=30 , y>x+2	$y - 5 x = 30$ , $y > x + 2$
235	Solve by Substitution	7x+5y=32 , -3x+y=-20	$7 x + 5 y = 32$ , $- 3 x + y = - 20$
236	Solve by Substitution	2x=y-7 , 4x-2y=14	$2 x = y - 7$ , $4 x - 2 y = 14$
237	Solve by Substitution	7/4x-5/2y=2 , 1/4x+7/2y=8	$\frac{7}{4} x - \frac{5}{2} y = 2$ , $\frac{1}{4} x + \frac{7}{2} y = 8$
238	Solve by Substitution	5x-4y=4 , -10x+8y=-8	$5 x - 4 y = 4$ , $- 10 x + 8 y = - 8$
239	Solve by Substitution	x-y=7 , 2x-2=k	$x - y = 7$ , $2 x - 2 = k$
240	Solve Using a Matrix with Cramer's Rule	5x+8y-6z=14 , 3x+4y-2z=8 , x+2y-2z=3	$5 x + 8 y - 6 z = 14$ , $3 x + 4 y - 2 z = 8$ , $x + 2 y - 2 z = 3$
241	Solve Using an Augmented Matrix	x-2y+x=0 , y-3z=-1 , 2y+5z=-2	$x - 2 y + x = 0$ , $y - 3 z = - 1$ , $2 y + 5 z = - 2$
242	Find the Slope	(2,2) , (8,5)	$(2, 2)$ , $(8, 5)$
243	Solve Using a Matrix by Elimination	2x+5y-2z=14 , 5x-6y+2z=0 , 4x-y+3z=-7	$2 x + 5 y - 2 z = 14$ , $5 x - 6 y + 2 z = 0$ , $4 x - y + 3 z = - 7$
244	Solve Using a Matrix by Elimination	7x+5y=32 , -3x+y=-20	$7 x + 5 y = 32$ , $- 3 x + y = - 20$
245	Find the Equation Using Two Points	(1,4) , (-7,-4)	$(1, 4) (- 7, - 4)$
246	Find the Regression Line	table[[x,y],[1,0],[2,3],[3,8],[4,15],[5,24],[6,35]]	$\begin{array}{c} x & y \\ 1 & 0 \\ 2 & 3 \\ 3 & 8 \\ 4 & 15 \\ 5 & 24 \\ 6 & 35 \end{array}$
247	Evaluate	(0.888)^24	${(0.888)}^{24}$
248	Evaluate	(-1)^3*((-1)^2)^6	${(- 1)}^{3} \cdot {({(- 1)}^{2})}^{6}$
249	Find the Continuous Interest Future Value	p=9000 , r=5% , t=5	$p = 9000$ , $r = 5 %$ , $t = 5$
250	Find the Determinant of the Resulting Matrix	[[2,3],[3,4]][[4,3],[6,4]]	$[\begin{array}{c} 2 & 3 \\ 3 & 4 \end{array}] [\begin{array}{c} 4 & 3 \\ 6 & 4 \end{array}]$
251	Find the Simple Interest Future Value	p=232 , r=5% , t=8	$p = 232$ , $r = 5 %$ , $t = 8$
252	Find the Simple Interest Received	p=6000 , r=6% , t=2	$p = 6000$ , $r = 6 %$ , $t = 2$
253	Find the Present Value	f=5000 , r=4% , t=1	$f = 5000$ , $r = 4 %$ , $t = 1$
254	Find the Equation of Variation	x+5y-9z=-8 , z=-3	$x + 5 y - 9 z = - 8$ , $z = - 3$
255	Solve the System of @WORD	x+4y>8 , x-2y<8	$x + 4 y > 8$ , $x - 2 y < 8$
256	Find the Number of Possibilities	7C^3*(6C^3)	$7 C^{3} \cdot (6 C^{3})$
257	Solve for x	-3(4-x)=5-(x+1)	$- 3 (4 - x) = 5 - (x + 1)$
258	Solve for x	8+12i+19x=10-16i+3yi	$8 + 12 i + 19 x = 10 - 16 i + 3 y i$
259	Simplify	4x*(y^7)	$4 x \cdot (y^{7})$
260	Solve for y	8x=5y+9	$8 x = 5 y + 9$
261	Solve for y	x+2y=8	$x + 2 y = 8$
262	Solve for x	x^2-24x+129=0	$x^{2} - 24 x + 129 = 0$
263	Solve for x	x/4+1/2=3/8	$\frac{x}{4} + \frac{1}{2} = \frac{3}{8}$
264	Convert to Interval Notation	-2(4x-14)<10x+12	$- 2 (4 x - 14) < 10 x + 12$
265	Find the Roots/Zeros Using the Rational Roots Test	5x^5+5x^3+1	$5 x^{5} + 5 x^{3} + 1$
266	Find the Range	f(x)=(e^(-x)+e^( square root of x))/(2e^(-2x))	$f (x) = \frac{e^{- x} + e^{\sqrt{x}}}{2 e^{- 2 x}}$
267	Factor	x^2*(11x)+28	$x^{2} \cdot (11 x) + 28$
268	Factor	3x+y=10	$3 x + y = 10$
269	Use the Rational Roots Test to Find All Possible Roots	7x^4-28x^2+28x-56	$7 x^{4} - 28 x^{2} + 28 x - 56$
270	Find the x and y Intercepts	-2x-6y+18=0	$- 2 x - 6 y + 18 = 0$
271	Find the x and y Intercepts	5x-3y+15=0	$5 x - 3 y + 15 = 0$
272	Find the Slope and y-intercept	y=3x	$y = 3 x$
273	Find the Roots (Zeros)	f(x)=x^2-3	$f (x) = x^{2} - 3$
274	Find the Domain	i	$i$
275	Divide Using Synthetic Division	(5x^2+6)/(x-1)	$\frac{5 x^{2} + 6}{x - 1}$
276	Find the Roots (Zeros)	y=3x^4-8x^3-6x^2+24x-9	$y = 3 x^{4} - 8 x^{3} - 6 x^{2} + 24 x - 9$
277	Determine if Linear	4x-7y^2+6=0	$4 x - 7 y^{2} + 6 = 0$
278	Determine the Type of Number	square root of 9	$\sqrt{9}$
279	Determine the Types of the Numbers	{7,12,17,22,27,32,37,42,47}	${7, 12, 17, 22, 27, 32, 37, 42, 47}$
280	Solve for x	3(2y-6)<-12	$3 (2 y - 6) < - 12$
281	Solve for m	m=(-29-(-15))/(15-8)	$m = \frac{- 29 - (- 15)}{15 - 8}$
282	Find the Number of Possibilities	10 choose 4	${}_{10}C_{4}$
283	Find Where Undefined/Discontinuous	cube root of x^5	$\sqrt[3]{x^{5}}$
284	Find Where Undefined/Discontinuous	n^2+10n+100	$n^{2} + 10 n + 100$
285	Determine the Type of Number	square root of 34	$\sqrt{34}$
286	Find the Inverse	(7x-14)/(x-2)	$\frac{7 x - 14}{x - 2}$
287	Determine the Type of Number	square root of 27	$\sqrt{27}$
288	Determine the Types of the Numbers	{1,2,3}	${1, 2, 3}$
289	Solve for x	2 log base 4 of x- log of x+2>1	$2 \log_{4} (x) - \log (x + 2) > 1$
290	Solve for x	x>(2y)/3-4	$x > \frac{2 y}{3} - 4$
291	Find Where Undefined/Discontinuous	px^2=5.87x+5.47	$p x^{2} = 5.87 x + 5.47$
292	Find Where Undefined/Discontinuous	t=-1.84x+212	$t = - 1.84 x + 212$
293	Find the Exponential Function	(-2,-7)	$(- 2, - 7)$
294	Solve by Graphing	v(1)=-95*1+10	$v (1) = - 95 \cdot 1 + 10$
295	Find Where Undefined/Discontinuous	2x^2+5x-1=0	$2 x^{2} + 5 x - 1 = 0$
296	Find Where Undefined/Discontinuous	6x-2+7=4x+5-6x	$6 x - 2 + 7 = 4 x + 5 - 6 x$
297	Determine if Linear	8x=5y+9	$8 x = 5 y + 9$
298	Subtract	-2(-7)^2-4*-7-9	$- 2 {(- 7)}^{2} - 4 \cdot - 7 - 9$
299	Apply the Quadratic Formula	81x^2+90x+25	$81 x^{2} + 90 x + 25$
300	Find Where Undefined/Discontinuous	(dy)/(dt)+y=e^t	$\frac{d y}{d t} + y = e^{t}$