Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
147501	Determine if Linear	5x-y=2	$5 x - y = 2$
147502	Determine if Linear	y=3x^2+5	$y = 3 x^{2} + 5$
147503	Determine if Linear	y=-3x	$y = - 3 x$
147504	Determine if Linear	y=3x-3	$y = 3 x - 3$
147505	Determine if Linear	y=\|x-2\|	$y = \| x - 2 \|$
147506	Find the GCF	x^6 , x^4	$x^{6}$ , $x^{4}$
147507	Find the Average	77 , 71 , 82 , 79 , 76 , 78 , 85 , 83	$77$ , $71$ , $82$ , $79$ , $76$ , $78$ , $85$ , $83$
147508	Find the Interquartile Range (H-Spread)	52 , 61 , 71 , 63 , 54 , 69 , 63 , 65 , 68 , 58 , 57	$52$ , $61$ , $71$ , $63$ , $54$ , $69$ , $63$ , $65$ , $68$ , $58$ , $57$
147509	Find the Interquartile Range (H-Spread)	95 , 92 , 96 , 93 , 94 , 95 , 93	$95$ , $92$ , $96$ , $93$ , $94$ , $95$ , $93$
147510	Find the Remainder	(14x^3+22x^2+24x-36)/(2x-7)	$\frac{(14 x^{3} + 22 x^{2} + 24 x - 36)}{(2 x - 7)}$
147511	Find the Remainder	(10x^3+39x^2-4x-63)/(2x+7)	$\frac{(10 x^{3} + 39 x^{2} - 4 x - 63)}{(2 x + 7)}$
147512	Use the Rational Roots Test to Find All Possible Roots	15x^4-x^2+9	$15 x^{4} - x^{2} + 9$
147513	Find the Remainder	(5x^4-3x^2-4x+6)÷(x-7)	$(5 x^{4} - 3 x^{2} - 4 x + 6) \div (x - 7)$
147514	Find the Remainder	(2x^3+9x^2-11x-24)÷(x-2)	$(2 x^{3} + 9 x^{2} - 11 x - 24) \div (x - 2)$
147515	Find the Remainder	(2x^3-2x^2+x-2)/(x-1)	$\frac{2 x^{3} - 2 x^{2} + x - 2}{x - 1}$
147516	Find the Remainder	(2x^3-4x^2+5x-1)/(x^2-3)	$\frac{2 x^{3} - 4 x^{2} + 5 x - 1}{x^{2} - 3}$
147517	Find the Remainder	(2x^2-5x+3)/(2x+1)	$\frac{2 x^{2} - 5 x + 3}{2 x + 1}$
147518	Find the Remainder	(x^3-3x^2-2x-1)/(x+2)	$\frac{x^{3} - 3 x^{2} - 2 x - 1}{x + 2}$
147519	Find the Remainder	(y^2-2y-29)÷(y-6)	$(y^{2} - 2 y - 29) \div (y - 6)$
147520	Find the Remainder	(8x^3+35x^2-17x-5)/(x^2+5x+3)	$\frac{8 x^{3} + 35 x^{2} - 17 x - 5}{x^{2} + 5 x + 3}$
147521	Round to the Nearest Hundredth	0.027	$0.027$
147522	Convert to a Decimal	square root of 58	$\sqrt{58}$
147523	Find the Mean	1 , 4 , 4 , 11 , 6 , 4 , 2 , 9 , 2	$1$ , $4$ , $4$ , $11$ , $6$ , $4$ , $2$ , $9$ , $2$
147524	Find the Mean	1 , 4 , 7 , 10 , 13	$1$ , $4$ , $7$ , $10$ , $13$
147525	Find the Mean	1 , 5 , 7 , 9 , 11 , 16 , 18 , 20 , 30 , 35	$1$ , $5$ , $7$ , $9$ , $11$ , $16$ , $18$ , $20$ , $30$ , $35$
147526	Find the Mean	12 , 17 , 16 , 10 , 20 , 13 , 14 , 14 , 12 , 12 , 19 , 18	$12$ , $17$ , $16$ , $10$ , $20$ , $13$ , $14$ , $14$ , $12$ , $12$ , $19$ , $18$
147527	Find the Mean	12.7 , 23.9 , 15.2 , 19.0 , 21.3 , 18.4 , 20.5	$12.7$ , $23.9$ , $15.2$ , $19$ , $21.3$ , $18.4$ , $20.5$
147528	Find the Mean	11 , 7 , 14 , 2 , 8 , 13 , 3 , 6 , 10 , 3 , 8 , 4 , 8 , 4 , 7	$11$ , $7$ , $14$ , $2$ , $8$ , $13$ , $3$ , $6$ , $10$ , $3$ , $8$ , $4$ , $8$ , $4$ , $7$
147529	Find the Mean	13 , 18 , 13 , 14 , 13 , 16 , 14 , 21 , 13	$13$ , $18$ , $13$ , $14$ , $13$ , $16$ , $14$ , $21$ , $13$
147530	Find the Mean	35 , 56 , 34 , 44 , 52 , 12 , 34 , 45	$35$ , $56$ , $34$ , $44$ , $52$ , $12$ , $34$ , $45$
147531	Find the Mean	16 , 9 , 5	$16$ , $9$ , $5$
147532	Find the Mean	15 , 12 , 11 , 19 , 21 , 13 , 14 , 16 , 20 , 19	$15$ , $12$ , $11$ , $19$ , $21$ , $13$ , $14$ , $16$ , $20$ , $19$
147533	Find the Mean	99 , 86 , 76 , 95 , 99	$99$ , $86$ , $76$ , $95$ , $99$
147534	Verify the Identity	(sin(3x)-sin(x))/(cos(3x)+cos(x))=tan(x)	$\frac{(\sin (3 x) - \sin (x))}{\cos (3 x) + \cos (x)} = \tan (x)$
147535	Verify the Identity	(sin(x)+sin(5x))/(cos(x)+cos(5x))=tan(3x)	$\frac{(\sin (x) + \sin (5 x))}{\cos (x) + \cos (5 x)} = \tan (3 x)$
147536	Find the Mean	803 , 487 , 348 , 3686 , 730 , 31	$803$ , $487$ , $348$ , $3686$ , $730$ , $31$
147537	Find the Mean	86 , 15 , 75 , 40 , 51 , 60 , 27 , 45 , 112 , 7 , 65 , 31 , 18 , 27 , 69	$86$ , $15$ , $75$ , $40$ , $51$ , $60$ , $27$ , $45$ , $112$ , $7$ , $65$ , $31$ , $18$ , $27$ , $69$
147538	Find the Mean	9 , 10 , 12 , 6 , 11 , 14 , 5 , 8 , 10 , 14 , 13	$9$ , $10$ , $12$ , $6$ , $11$ , $14$ , $5$ , $8$ , $10$ , $14$ , $13$
147539	Find the Mean	5 , 10 , 15 , 20 , 25	$5$ , $10$ , $15$ , $20$ , $25$
147540	Find the Mean	6 , 12 , 24 , 48	$6$ , $12$ , $24$ , $48$
147541	Find the Mean	4 , 2 , 8 , 4 , 6 , 9 , 10 , 5	$4$ , $2$ , $8$ , $4$ , $6$ , $9$ , $10$ , $5$
147542	Find the Mean	7.5 , 6.6 , 7.2 , 4.4 , 6.6 , 6.7	$7.5$ , $6.6$ , $7.2$ , $4.4$ , $6.6$ , $6.7$
147543	Find the Mean	76 , 78 , 64 , 66 , 69 , 62 , 80 , 69 , 68 , 63 , 68 , 73 , 75 , 84 , 70	$76$ , $78$ , $64$ , $66$ , $69$ , $62$ , $80$ , $69$ , $68$ , $63$ , $68$ , $73$ , $75$ , $84$ , $70$
147544	Find the Mean	77 , 79 , 65 , 67 , 70 , 63 , 81 , 70 , 69 , 64 , 69 , 74 , 76 , 85 , 71	$77$ , $79$ , $65$ , $67$ , $70$ , $63$ , $81$ , $70$ , $69$ , $64$ , $69$ , $74$ , $76$ , $85$ , $71$
147545	Find the Mean	78 90 456 673 111 381 21	$78$ $90$ $456$ $673$ $111$ $381$ $21$
147546	Find the Mean	(5x+16) , (8x+4) , (-4x-2)	$(5 x + 16)$ , $(8 x + 4)$ , $(- 4 x - 2)$
147547	Find the Mean	0 , 1 , 1 , 2 , 5 , 6	$0$ , $1$ , $1$ , $2$ , $5$ , $6$
147548	Find the Inverse	[[6,11],[3,6]]	$[\begin{array}{c} 6 & 11 \\ 3 & 6 \end{array}]$
147549	Find the Inverse	[[-5,-10],[5,10]]	$[\begin{array}{c} - 5 & - 10 \\ 5 & 10 \end{array}]$
147550	Find the Inverse	[[-5,0],[-2,-6]]	$[\begin{array}{c} - 5 & 0 \\ - 2 & - 6 \end{array}]$
147551	Find the Inverse	[[12,0],[0,12]]	$[\begin{array}{c} 12 & 0 \\ 0 & 12 \end{array}]$
147552	Find the Inverse	[[2,-1],[3,5]]	$[\begin{array}{c} 2 & - 1 \\ 3 & 5 \end{array}]$
147553	Find the Inverse	[[1,0,8],[1,2,3],[2,5,3]]^-1	${[\begin{array}{c} 1 & 0 & 8 \\ 1 & 2 & 3 \\ 2 & 5 & 3 \end{array}]}^{- 1}$
147554	Factor over the Complex Numbers	x^3-8	$x^{3} - 8$
147555	Verify the Identity	csc(x)^2+tan(x)^2=cot(x)^2+sec(x)^2	$\csc^{2} (x) + \tan^{2} (x) = \cot^{2} (x) + \sec^{2} (x)$
147556	Verify the Identity	sin(2x)=2cos(x)^2-1	$\sin (2 x) = 2 \cos^{2} (x) - 1$
147557	Verify the Identity	sin(x/7)sin(x/7)=1/2(1-cos((2x)/7))	$\sin (\frac{x}{7}) \sin (\frac{x}{7}) = \frac{1}{2} (1 - \cos (\frac{2 x}{7}))$
147558	Factor over the Complex Numbers	-2+8i	$- 2 + 8 i$
147559	Factor over the Complex Numbers	2-6i	$2 - 6 i$
147560	Factor over the Complex Numbers	x^2+225	$x^{2} + 225$
147561	Factor over the Complex Numbers	10-5i	$10 - 5 i$
147562	Factor over the Complex Numbers	(-1+19i)-(4-i)	$(- 1 + 19 i) - (4 - i)$
147563	Evaluate Using Scientific Notation	((1.510^-7)(3.610^15))÷(1.210^-3)	$(1.5 \cdot 10^{- 7}) \cdot (3.6 \cdot 10^{15}) \div (1.2 \cdot 10^{- 3})$
147564	Evaluate Using Scientific Notation	(2.610^2)(3.410^-5)	$(2.6 \cdot 10^{2}) (3.4 \cdot 10^{- 5})$
147565	Convert to Set Notation	x-5>-2	$x - 5 > - 2$
147566	Evaluate Using Scientific Notation	(8.910^8)/(3.310^4)	$\frac{(8.9 \cdot 10^{8})}{(3.3 \cdot 10^{4})}$
147567	Convert to Set Notation	x(36x+11)<=(6x+1)^2	$x (36 x + 11) \leq {(6 x + 1)}^{2}$
147568	Convert to Set Notation	[1,9]	$[1, 9]$
147569	Convert to Set Notation	[6,8)	$[6, 8)$
147570	Convert to Set Notation	(negative infinity,2) intersect (negative infinity,5)	$(- \infty, 2) \cap (- \infty, 5)$
147571	Convert to Set Notation	(-1,5) intersect [0,8]	$(- 1, 5) \cap [0, 8]$
147572	Write as a Function of x	x^2-y^2=1	$x^{2} - y^{2} = 1$
147573	Write as a Function of x	x=5y^2	$x = 5 y^{2}$
147574	Write as a Function of x	p=-1/7x+100	$p = - \frac{1}{7} x + 100$
147575	Write as a Function of x	f(x) = square root of x	$f (x) = \sqrt{x}$
147576	Write as a Function of x	f(x)=3	$f (x) = 3$
147577	Expand the Trigonometric Expression	(4y^a-6x^b)(4y^a+6x^b)	$(4 y^{a} - 6 x^{b}) (4 y^{a} + 6 x^{b})$
147578	Expand the Trigonometric Expression	(2x-3)(x+5)	$(2 x - 3) (x + 5)$
147579	Expand the Trigonometric Expression	(2x-5)^2	${(2 x - 5)}^{2}$
147580	Expand the Trigonometric Expression	(2x-5y)^5	${(2 x - 5 y)}^{5}$
147581	Find the Midpoint	(3/2,1) , (-7/2,4/3)	$(\frac{3}{2}, 1)$ , $(- \frac{7}{2}, \frac{4}{3})$
147582	Write with Rational (Fractional) Exponents	x4/5	$x \frac{4}{5}$
147583	Write with Rational (Fractional) Exponents	x2/3	$x \frac{2}{3}$
147584	Write with Rational (Fractional) Exponents	square root of 3( fifth root of 3)	$\sqrt{3} (\sqrt[5]{3})$
147585	Write with Rational (Fractional) Exponents	square root of 7x	$\sqrt{7 x}$
147586	Write with Rational (Fractional) Exponents	seventh root of 13^6	$\sqrt[7]{13^{6}}$
147587	Write with Rational (Fractional) Exponents	fifth root of 21^2	$\sqrt[5]{21^{2}}$
147588	Write with Rational (Fractional) Exponents	sixth root of 15	$\sqrt[6]{15}$
147589	Write with Rational (Fractional) Exponents	fourth root of 162	$\sqrt[4]{162}$
147590	Write with Rational (Fractional) Exponents	(x-2)^(2/3)=36	${(x - 2)}^{\frac{2}{3}} = 36$
147591	Write with Rational (Fractional) Exponents	(v^-1)^(1/9)	${(v^{- 1})}^{\frac{1}{9}}$
147592	Write with Rational (Fractional) Exponents	( square root of 11)^5	${(\sqrt{11})}^{5}$
147593	Write with Rational (Fractional) Exponents	(1/( square root of y))^(-1/5)	${(\frac{1}{\sqrt{y}})}^{\frac{- 1}{5}}$
147594	Write with Rational (Fractional) Exponents	((y1/4)/(y3/2))^2	${(\frac{y \frac{1}{4}}{y \frac{3}{2}})}^{2}$
147595	Expand the Trigonometric Expression	3(8t+b)	$3 (8 t + b)$
147596	Expand the Trigonometric Expression	-9(a-11)	$- 9 (a - 11)$
147597	Expand the Trigonometric Expression	(x-y)^6	${(x - y)}^{6}$
147598	Expand the Trigonometric Expression	sin(90-x)	$\sin (90 - x)$
147599	Find the Maximum/Minimum Value	-x^2-6x-13	$- x^{2} - 6 x - 13$
147600	Find the Maximum/Minimum Value	x^2-2x-15	$x^{2} - 2 x - 15$