Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
41501	Solve for t	H(t)=36t-6t^2	$H (t) = 36 t - 6 t^{2}$
41502	Solve for n	(625^(-3n))/(125^(2-3n))=125	$\frac{625^{- 3 n}}{125^{2 - 3 n}} = 125$
41503	Solve for p	log base 13 of p^2-4p = log base 13 of 24-2p	$\log_{13} (p^{2} - 4 p) = \log_{13} (24 - 2 p)$
41504	Solve for a	3+ square root of 4a-5<=10	$3 + \sqrt{4 a - 5} \leq 10$
41505	Split Using Partial Fraction Decomposition	(5x^2+14x+18)/((x+6)(x^2+2))	$\frac{5 x^{2} + 14 x + 18}{(x + 6) (x^{2} + 2)}$
41506	Split Using Partial Fraction Decomposition	(50-7x)/(x^3-10x^2+25x)	$\frac{50 - 7 x}{x^{3} - 10 x^{2} + 25 x}$
41507	Find the Center and Radius	16x^2+16y^2-64x+128y=0	$16 x^{2} + 16 y^{2} - 64 x + 128 y = 0$
41508	Find the Center and Radius	x^2+y^2+2x-10y+10=0	$x^{2} + y^{2} + 2 x - 10 y + 10 = 0$
41509	Find the Center and Radius	x^2+y^2+10x-2y+22=0	$x^{2} + y^{2} + 10 x - 2 y + 22 = 0$
41510	Find the Center and Radius	x^2+y^2+10x-2y-2=0	$x^{2} + y^{2} + 10 x - 2 y - 2 = 0$
41511	Find the Center and Radius	x^2+y^2-8x-12y-29=0	$x^{2} + y^{2} - 8 x - 12 y - 29 = 0$
41512	Find the Center and Radius	x^2+y^2-16x=0	$x^{2} + y^{2} - 16 x = 0$
41513	Find the Center and Radius	(x-4)^2+(y+1)^2=9	${(x - 4)}^{2} + {(y + 1)}^{2} = 9$
41514	Find the Center and Radius	(x-2)^2+y^2=14	${(x - 2)}^{2} + y^{2} = 14$
41515	Find the Domain	5.152x^3-143x^2+1102x-1673	$5.152 x^{3} - 143 x^{2} + 1102 x - 1673$
41516	Find the x and y Intercepts	f(x)=1/(x-6)	$f (x) = \frac{1}{x - 6}$
41517	Find the x and y Intercepts	f(x)=(2/3)^x	$f (x) = {(\frac{2}{3})}^{x}$
41518	Find the Value Using the Unit Circle	300 degrees	$300 °$
41519	Determine if Odd, Even, or Neither	f(x)=sin(x)	$f (x) = \sin (x)$
41520	Find the x and y Intercepts	y=x-5	$y = x - 5$
41521	Find the x and y Intercepts	8x-4y=-24	$8 x - 4 y = - 24$
41522	Find the x and y Intercepts	x^2+y^2-2x-4y-4=0	$x^{2} + y^{2} - 2 x - 4 y - 4 = 0$
41523	Find the x and y Intercepts	theta=(7pi)/6	$θ = \frac{7 π}{6}$
41524	Find the x and y Intercepts	3x^2+3y^2-18x+12y-36=0	$3 x^{2} + 3 y^{2} - 18 x + 12 y - 36 = 0$
41525	Solve Using the Square Root Property	(x+3)^2-169=0	${(x + 3)}^{2} - 169 = 0$
41526	Expand Using Pascal's Triangle	(s-5v)^5	${(s - 5 v)}^{5}$
41527	Write in Standard Form	4x^2-25y^2-32x+164=0	$4 x^{2} - 25 y^{2} - 32 x + 164 = 0$
41528	Write in Standard Form	4x^2-9y^2+16x-54y-101=0	$4 x^{2} - 9 y^{2} + 16 x - 54 y - 101 = 0$
41529	Write in Standard Form	4x^2-9y^2-16x-36y-56=0	$4 x^{2} - 9 y^{2} - 16 x - 36 y - 56 = 0$
41530	Write in Standard Form	4x^2+9y^2+24x-36y+36=0	$4 x^{2} + 9 y^{2} + 24 x - 36 y + 36 = 0$
41531	Write in Standard Form	4x^2+9y^2-16x-126y+421=0	$4 x^{2} + 9 y^{2} - 16 x - 126 y + 421 = 0$
41532	Write in Standard Form	36x^2+100y^2-288x+200y-2924=0	$36 x^{2} + 100 y^{2} - 288 x + 200 y - 2924 = 0$
41533	Write in Standard Form	31x^2+10 square root of 3xy+21y^2-144=0	$31 x^{2} + 10 \sqrt{3} x y + 21 y^{2} - 144 = 0$
41534	Write in Standard Form	16x^2-9y^2+192x-18y+423=0	$16 x^{2} - 9 y^{2} + 192 x - 18 y + 423 = 0$
41535	Write in Standard Form	16x^2-4y^2+64x-40y-100=0	$16 x^{2} - 4 y^{2} + 64 x - 40 y - 100 = 0$
41536	Write in Standard Form	16x^2+25y^2-32x+100y-284=0	$16 x^{2} + 25 y^{2} - 32 x + 100 y - 284 = 0$
41537	Write in Standard Form	-16x^2+25y^2+192x-150y-751=0	$- 16 x^{2} + 25 y^{2} + 192 x - 150 y - 751 = 0$
41538	Write in Standard Form	9x^2+25y^2-54x+100y-44=0	$9 x^{2} + 25 y^{2} - 54 x + 100 y - 44 = 0$
41539	Write in Standard Form	-9x^2+25y^2-100y-125=0	$- 9 x^{2} + 25 y^{2} - 100 y - 125 = 0$
41540	Write in Standard Form	9x^2-4y^2-54x+8y+41=0	$9 x^{2} - 4 y^{2} - 54 x + 8 y + 41 = 0$
41541	Write in Standard Form	r=10	$r = 10$
41542	Write in Standard Form	x^2+y^2-6x-10y+30=0	$x^{2} + y^{2} - 6 x - 10 y + 30 = 0$
41543	Factor over the Complex Numbers	-36+36 square root of 3i	$- 36 + 36 \sqrt{3 i}$
41544	Convert to Interval Notation	(x^2-1)(x+5)(x-3)<0	$(x^{2} - 1) (x + 5) (x - 3) < 0$
41545	Convert to Interval Notation	x^3+x^2-26x+24>=0	$x^{3} + x^{2} - 26 x + 24 \geq 0$
41546	Find the Asymptotes	f(x)=(8x-3)/(x^2-9)	$f (x) = \frac{8 x - 3}{x^{2} - 9}$
41547	Find the Asymptotes	f(x)=1/(x-1)	$f (x) = \frac{1}{x - 1}$
41548	Find the Asymptotes	f(x)=3/(x+5)	$f (x) = \frac{3}{x + 5}$
41549	Find the Trig Value	cos(theta)=4/9	$\cos (θ) = \frac{4}{9}$
41550	Find the Domain and Range	e^(x-2)+2	$e^{x - 2} + 2$
41551	Find the Sum of the Infinite Geometric Series	1 , 1/3 , 1/9 , 1/27	$1$ , $\frac{1}{3}$ , $\frac{1}{9}$ , $\frac{1}{27}$
41552	Convert to Logarithmic Form	9^x=5	$9^{x} = 5$
41553	Find the Vertex	y=x^2+6x+10	$y = x^{2} + 6 x + 10$
41554	Find the Vertex	y^2-4x+6y+29=0	$y^{2} - 4 x + 6 y + 29 = 0$
41555	Find the Vertex	x^2+8x-10y-34=0	$x^{2} + 8 x - 10 y - 34 = 0$
41556	Find the Vertex	y^2+3x+2y+7=0	$y^{2} + 3 x + 2 y + 7 = 0$
41557	Find the Vertex	y^2+6y+9=12-12x	$y^{2} + 6 y + 9 = 12 - 12 x$
41558	Find the Vertex	x^2-8x+2y+14=0	$x^{2} - 8 x + 2 y + 14 = 0$
41559	Find the Vertex	x^2-2x-2y-7=0	$x^{2} - 2 x - 2 y - 7 = 0$
41560	Find the Standard Form of the Parabola	x=20y^2-120y+60	$x = 20 y^{2} - 120 y + 60$
41561	Find the Domain	f(x)=(x+2)/(x^2-4)	$f (x) = \frac{x + 2}{x^{2} - 4}$
41562	Find the Domain	f(x)=(x+4)/(x^2-16)	$f (x) = \frac{x + 4}{x^{2} - 16}$
41563	Find the Domain	f(x)=(x+5)/(x^2-25)	$f (x) = \frac{x + 5}{x^{2} - 25}$
41564	Find the Domain	f(x) = natural log of x^2-9	$f (x) = \ln (x^{2} - 9)$
41565	Find the Domain	f(x) = log of x^2-9	$f (x) = \log (x^{2} - 9)$
41566	Find the Domain	f(x) = log base 3 of 8-2x	$f (x) = \log_{3} (8 - 2 x)$
41567	Find the Roots (Zeros)	x^3+6x^2-9x-14	$x^{3} + 6 x^{2} - 9 x - 14$
41568	Solve for a	36^(2a)*216^(3a)=(1/36)^(-2a-2)	$36^{2 a} \cdot 216^{3 a} = {(\frac{1}{36})}^{- 2 a - 2}$
41569	Solve for a	1/3(a+5)=7/2	$\frac{1}{3} (a + 5) = \frac{7}{2}$
41570	Solve for n	1/(n-2)=4/(n-3)+5/(n-2)	$\frac{1}{n - 2} = \frac{4}{n - 3} + \frac{5}{n - 2}$
41571	Solve for n	6/(5n+1)=6/(5n^2+6n+1)+3/(5n+1)	$\frac{6}{5 n + 1} = \frac{6}{5 n^{2} + 6 n + 1} + \frac{3}{5 n + 1}$
41572	Solve for h	w=50+2.3(h-60)	$w = 50 + 2.3 (h - 60)$
41573	Solve for t	8*5^((-t)/9)=346	$8 \cdot 5^{\frac{- t}{9}} = 346$
41574	Solve for z	z^3=-512	$z^{3} = - 512$
41575	Determine if Odd, Even, or Neither	f(x)=1/(4x)	$f (x) = \frac{1}{4 x}$
41576	Determine if Odd, Even, or Neither	f(x)=4x^3-3x^2+5	$f (x) = 4 x^{3} - 3 x^{2} + 5$
41577	Find the Center and Radius	(x-3)^2+(y+5)^2=9	${(x - 3)}^{2} + {(y + 5)}^{2} = 9$
41578	Simplify/Condense	1/2 log of x- log of y-2 log of z	$\frac{1}{2} \log (x) - \log (y) - 2 \log (z)$
41579	Find the Center and Radius	x^2+y^2+12x+8y+36=0	$x^{2} + y^{2} + 12 x + 8 y + 36 = 0$
41580	Find the Center and Radius	x^2+y^2+12x-4y+12=0	$x^{2} + y^{2} + 12 x - 4 y + 12 = 0$
41581	Find the Center and Radius	x^2+y^2+6x-14y=0	$x^{2} + y^{2} + 6 x - 14 y = 0$
41582	Find the Center and Radius	x^2+y^2+6x-8y-24=0	$x^{2} + y^{2} + 6 x - 8 y - 24 = 0$
41583	Find the Center and Radius	x^2+y^2+4x+10y-35=0	$x^{2} + y^{2} + 4 x + 10 y - 35 = 0$
41584	Find the Center and Radius	5x^2+9y^2-80x+54y+221=0	$5 x^{2} + 9 y^{2} - 80 x + 54 y + 221 = 0$
41585	Find the Center and Radius	4x^2+y^2-8x+4y-8=0	$4 x^{2} + y^{2} - 8 x + 4 y - 8 = 0$
41586	Find All Complex Solutions	2cos(theta)- square root of 3=0	$2 \cos (θ) - \sqrt{3} = 0$
41587	Find All Complex Solutions	cos(theta)=-1/2	$\cos (θ) = - \frac{1}{2}$
41588	Identify the Sequence	1 , 4 , 9 , 16 , 25 , 36	$1$ , $4$ , $9$ , $16$ , $25$ , $36$
41589	Find the Slope	theta=(7pi)/4	$θ = \frac{7 π}{4}$
41590	Find the x and y Intercepts	4x^2+4y^2-24x+16y-48=0	$4 x^{2} + 4 y^{2} - 24 x + 16 y - 48 = 0$
41591	Find the x and y Intercepts	x^2+y^2-8x-2y-19=0	$x^{2} + y^{2} - 8 x - 2 y - 19 = 0$
41592	Find the x and y Intercepts	9x^2-25y^2=225	$9 x^{2} - 25 y^{2} = 225$
41593	Convert from Degrees to Radians	theta=(7pi)/6	$θ = \frac{7 π}{6}$
41594	Factor	x^2+3x^7	$x^{2} + 3 x^{7}$
41595	Expand Using Pascal's Triangle	(3x-2y)^3	${(3 x - 2 y)}^{3}$
41596	Find the Domain and Range	g(x)=5^(x-2)	$g (x) = 5^{x - 2}$
41597	Write in Standard Form	x^2+y^2=49	$x^{2} + y^{2} = 49$
41598	Write in Standard Form	x^2+y^2-10y+15=0	$x^{2} + y^{2} - 10 y + 15 = 0$
41599	Write in Standard Form	x^2+4y^2+10x-8y+13=0	$x^{2} + 4 y^{2} + 10 x - 8 y + 13 = 0$
41600	Write in Standard Form	9x^2-4y^2-90x-40y+89=0	$9 x^{2} - 4 y^{2} - 90 x - 40 y + 89 = 0$