Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
135101	Evaluate Using Scientific Notation	(2.310^4)-(6.510^3)	$(2.3 \cdot 10^{4}) - (6.5 \cdot 10^{3})$
135102	Evaluate Using Scientific Notation	(210^58)(2*10^-27)	$(2 \cdot 10^{58}) \cdot (2 \cdot 10^{- 27})$
135103	Evaluate Using Scientific Notation	(3.110^5)(4.510^-4)	$(3.1 \cdot 10^{5}) (4.5 \cdot 10^{- 4})$
135104	Evaluate Using Scientific Notation	(1.1510^5)(3.65*10^2)	$(1.15 \cdot 10^{5}) \cdot (3.65 \cdot 10^{2})$
135105	Evaluate Using Scientific Notation	(1.810^6)(9.210^-9)	$(1.8 \cdot 10^{6}) (9.2 \cdot 10^{- 9})$
135106	Evaluate Using Scientific Notation	((1.610^8)(5.810^6))/(4*10^6)	$\frac{(1.6 \cdot 10^{8}) (5.8 \cdot 10^{6})}{(4 \cdot 10^{6})}$
135107	Evaluate Using Scientific Notation	8(8.8*10^12)	$8 (8.8 \cdot 10^{12})$
135108	Evaluate Using Scientific Notation	(8.9*10^5)^4	${(8.9 \cdot 10^{5})}^{4}$
135109	Evaluate Using Scientific Notation	1.410^9-8.610^8	$1.4 \cdot 10^{9} - 8.6 \cdot 10^{8}$
135110	Evaluate Using Scientific Notation	(1.4110^18)÷1.0910^12	$1.41 \cdot 10^{18} \div 1.09 \cdot 10^{12}$
135111	Evaluate Using Scientific Notation	(4.010^-1)(2.5*10^-4)	$(4 \cdot 10^{- 1}) \cdot (2.5 \cdot 10^{- 4})$
135112	Evaluate Using Scientific Notation	(410^6)/(110^4)	$\frac{4 \cdot 10^{6}}{1 \cdot 10^{4}}$
135113	Evaluate Using Scientific Notation	(710^7)/(410^2)	$\frac{7 \cdot 10^{7}}{4 \cdot 10^{2}}$
135114	Evaluate Using Scientific Notation	(7.510^8)/(1.510^-6)	$\frac{7.5 \cdot 10^{8}}{1.5 \cdot 10^{- 6}}$
135115	Write as a Function of y	y=8x	$y = 8 x$
135116	Write as a Function of y	y=7	$y = 7$
135117	Solve Using an Augmented Matrix	x-9y+z=15y+6z=17z=11	$x - 9 y + z = 15 y + 6 z = 17 z = 11$
135118	Write as a Function of t	t=2pi square root of l/384	$t = 2 π \sqrt{\frac{l}{384}}$
135119	Write as a Function of y	5x-6y=5	$5 x - 6 y = 5$
135120	Write as a Function of y	y^2=9x	$y^{2} = 9 x$
135121	Write as a Function of n	a_n=2/5(5)^(n-1)	$a_{n} = \frac{2}{5} {(5)}^{n - 1}$
135122	Write as a Function of t	h=-16t^2+50t	$h = - 16 t^{2} + 50 t$
135123	Write as a Function of t	h=-16t^2+30t+4	$h = - 16 t^{2} + 30 t + 4$
135124	Write as a Function of k	(5a^2b^3)(6a^kb)=30a^6b^4	$(5 a^{2} b^{3}) (6 a^{k} b) = 30 a^{6} b^{4}$
135125	Write as a Function of a	3a-5=-4b+1	$3 a - 5 = - 4 b + 1$
135126	Write as a Function of a	(5x^a)(bx^2)=35x^8	$(5 x^{a}) (b x^{2}) = 35 x^{8}$
135127	Write as a Function of b	2p^2+bp+32=0	$2 p^{2} + b p + 32 = 0$
135128	Write as a Function of c	square root of (50x^6y^3)/(9x^8)=(5y^c square root of 2y)/(dx)	$\sqrt{\frac{50 x^{6} y^{3}}{9 x^{8}}} = \frac{5 y^{c} \sqrt{2 y}}{d x}$
135129	Write as a Function of c	x^2+4x+c=0	$x^{2} + 4 x + c = 0$
135130	Write as a Function of b	5x^2-bx+2=0	$5 x^{2} - b x + 2 = 0$
135131	Write as a Function of b	32p^2+bp+2=0	$32 p^{2} + b p + 2 = 0$
135132	Write as a Function of b	8p^2+bp+2=0	$8 p^{2} + b p + 2 = 0$
135133	Write as a Function of b	p^2+bp+1=0	$p^{2} + b p + 1 = 0$
135134	Find the Exact Value	cube root of 64	$\sqrt[3]{64}$
135135	Expand Using Sum/Difference Formulas	sin(5x)sin(3x)	$\sin (5 x) \sin (3 x)$
135136	Find the Upper or Third Quartile	11 , 6 , 19 , 14 , 21 , 7 , 13 , 15 , 15	$11$ , $6$ , $19$ , $14$ , $21$ , $7$ , $13$ , $15$ , $15$
135137	Graph the Interval	(negative infinity,5) intersect (-6,8) intersect [1,6]	$(- \infty, 5) \cap (- 6, 8) \cap [1, 6]$
135138	Graph the Interval	(negative infinity,4) union (4,infinity)	$(- \infty, 4) \cup (4, \infty)$
135139	Graph the Interval	(negative infinity,-4) union (-4,infinity)	$(- \infty, - 4) \cup (- 4, \infty)$
135140	Graph the Interval	[0,2]	$[0, 2]$
135141	Find the Vertical and Horizontal Intercept(s)	f(x)=\|x\|	$f (x) = \| x \|$
135142	Write as a Set of Linear Factors	(x-5)^(2/3)=36	${(x - 5)}^{\frac{2}{3}} = 36$
135143	Write as a Set of Linear Factors	1/5x-2=1/3x+8	$\frac{1}{5} x - 2 = \frac{1}{3} x + 8$
135144	Find the Null Space	[[3,7],[7,6]]	$[\begin{array}{c} 3 & 7 \\ 7 & 6 \end{array}]$
135145	Calculate the Square Root	16	$16$
135146	Find the Quadrant	(1,-5)	$(1, - 5)$
135147	Determine if Dependent, Independent, or Inconsistent	x-2y=-2-x+2y=2	$x - 2 y = - 2 - x + 2 y = 2$
135148	Determine if Dependent, Independent, or Inconsistent	x-2y=4y=1/2x+6	$x - 2 y = 4 y = \frac{1}{2} x + 6$
135149	Determine if Dependent, Independent, or Inconsistent	6x-y=5y=6x-5	$6 x - y = 5 y = 6 x - 5$
135150	Solve by Linear Combination	d-2e=-2 3d+2e=26	$d - 2 e = - 2$ $3 d + 2 e = 26$
135151	Find the Equation of the Circle	(h,k)=(-1/5,1/3) , r=1/2	$(h, k) = (- \frac{1}{5}, \frac{1}{3})$ , $r = \frac{1}{2}$
135152	Determine the Possible Number of Real Roots	P(x)=x^5+3x^3-x^2+7x	$P (x) = x^{5} + 3 x^{3} - x^{2} + 7 x$
135153	Determine the Possible Number of Real Roots	f(x)=4x^4-16x^3+11x^2+4x-3	$f (x) = 4 x^{4} - 16 x^{3} + 11 x^{2} + 4 x - 3$
135154	Find Amplitude, Period, and Phase Shift	f(x)=2sin(-3x+2pi)-12	$f (x) = 2 \sin (- 3 x + 2 π) - 12$
135155	Find Amplitude, Period, and Phase Shift	g(x)=1/4cos(4x)	$g (x) = \frac{1}{4} \cos (4 x)$
135156	Find Amplitude, Period, and Phase Shift	g(x)=1/2cos(4pix)	$g (x) = \frac{1}{2} \cos (4 π x)$
135157	Find Amplitude, Period, and Phase Shift	g(x)=1/2sin(3x)+4	$g (x) = \frac{1}{2} \sin (3 x) + 4$
135158	Find Amplitude, Period, and Phase Shift	f(x)=cos(x/4)+2	$f (x) = \cos (\frac{x}{4}) + 2$
135159	Find Amplitude, Period, and Phase Shift	h(x)=-4sin(x-pi/4)	$h (x) = - 4 \sin (x - \frac{π}{4})$
135160	Find Amplitude, Period, and Phase Shift	g(x)=-6sin(3pix+4)-2	$g (x) = - 6 \sin (3 π x + 4) - 2$
135161	Find Amplitude, Period, and Phase Shift	g(x)=3sin(2x)	$g (x) = 3 \sin (2 x)$
135162	Find the Intersection of the Functions	f(x)=x^2+6x+8g(x)=-x^2+4	$f (x) = x^{2} + 6 x + 8 g (x) = - x^{2} + 4$
135163	Find the Intersection of the Functions	C=(245p)/(100-p) , 0<=p<100	$C = \frac{245 p}{100 - p}$ , $0 \leq p < 100$
135164	Find the Constant of Variation	y=-2x	$y = - 2 x$
135165	Find the Constant of Variation	y=1/2x	$y = \frac{1}{2} x$
135166	Find the Constant of Variation	y=2/5x	$y = \frac{2}{5} x$
135167	Find the Constant of Variation	-x=10y	$- x = 10 y$
135168	Find the Constant of Variation	2x+3y=0	$2 x + 3 y = 0$
135169	Find the Constant of Variation	2x+5y=0	$2 x + 5 y = 0$
135170	Find the Constant of Variation	-16=4xy	$- 16 = 4 x y$
135171	Find the Constant of Variation	10x=y	$10 x = y$
135172	Find the Constant of Variation	-4x+5y=0	$- 4 x + 5 y = 0$
135173	Find the Constant of Variation	-5x+2y=0	$- 5 x + 2 y = 0$
135174	Find the Constant of Variation	3xy=1	$3 x y = 1$
135175	Find the Constant of Variation	3xy=15	$3 x y = 15$
135176	Find the Constant of Variation	2y=-x	$2 y = - x$
135177	Convert from Interval to Inequality	(4,9)	$(4, 9)$
135178	Convert from Interval to Inequality	[6,9]	$[6, 9]$
135179	Convert from Interval to Inequality	[-1,3)	$[- 1, 3)$
135180	Find the Other Trig Values in Quadrant II	cos(x)=-12/19	$\cos (x) = - \frac{12}{19}$
135181	Find All Complex Number Solutions	2x^2-3x+1=0	$2 x^{2} - 3 x + 1 = 0$
135182	Find All Complex Number Solutions	3x^2-x-5=0	$3 x^{2} - x - 5 = 0$
135183	Find All Complex Number Solutions	8x^2-11x=-3	$8 x^{2} - 11 x = - 3$
135184	Find All Complex Number Solutions	z=-24i-19	$z = - 24 i - 19$
135185	Find the Other Trig Values in Quadrant IV	cos(0)=2/3	$\cos (0) = \frac{2}{3}$
135186	Find the Other Trig Values in Quadrant IV	cos(x)=3/( square root of 10)	$\cos (x) = \frac{3}{\sqrt{10}}$
135187	Find the Range	12 , 21 , 43 , 62 , 71	$12$ , $21$ , $43$ , $62$ , $71$
135188	Find the Range	10 , 11 , 12 , 13 , 14	$10$ , $11$ , $12$ , $13$ , $14$
135189	Find the Local Maxima and Minima	x^3-1.5x+1	$x^{3} - 1.5 x + 1$
135190	Find the Local Maxima and Minima	x^3-1.5x+3	$x^{3} - 1.5 x + 3$
135191	Find the Local Maxima and Minima	x^5-10x^3+9x	$x^{5} - 10 x^{3} + 9 x$
135192	Find the Center and Radius	(x+7)^2+(y+8)^2=64	${(x + 7)}^{2} + {(y + 8)}^{2} = 64$
135193	Find the Center and Radius	x^2+4y^2=1	$x^{2} + 4 y^{2} = 1$
135194	Subtract the Expressions	3x^2-5x+12 5x^2+x-11	$3 x^{2} - 5 x + 12$ $5 x^{2} + x - 11$
135195	Find the Range	9 , 10 , 12 , 6 , 11 , 14 , 5 , 8 , 10 , 14 , 13	$9$ , $10$ , $12$ , $6$ , $11$ , $14$ , $5$ , $8$ , $10$ , $14$ , $13$
135196	Find the Range	41 , 36 , 20 , 36 , 62 , 5 , 6	$41$ , $36$ , $20$ , $36$ , $62$ , $5$ , $6$
135197	Find the Range	34 , 29 , 28 , 16 , 19 , 18 , 34 , 33 , 29	$34$ , $29$ , $28$ , $16$ , $19$ , $18$ , $34$ , $33$ , $29$
135198	Find the Range	305 , 92 , 142 , 111 , 90	$305$ , $92$ , $142$ , $111$ , $90$
135199	Find the Range	48 , 40 , 53 , 43 , 52 , 46	$48$ , $40$ , $53$ , $43$ , $52$ , $46$
135200	Find the Range	5 , 6 , 6 , 7 , 8 , 8 , 8 , 10 , 11	$5$ , $6$ , $6$ , $7$ , $8$ , $8$ , $8$ , $10$ , $11$