Math

Problem 5701

Find the value of the unknown in the equation 2.66+x=102.66 + x = 10.

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Problem 5702

Solve the absolute value equation x26x16=23x|x^2 - 6x - 16| = 2 - 3x and verify the solutions meet the restrictions.

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Problem 5703

Find the value of hh when h=8n2h=8n^2 and n=3n=3.

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Problem 5704

Find the value of hh when k=3k=3, given that h+4=3k+5h+4=3k+5.

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Problem 5705

Solve the equation 4x+6=74 \sqrt{x} + 6 = 7 for xx.

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Problem 5706

Find the value of zz such that 0.04 of the area lies to the right of zz. Round your answer to two decimal places.

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Problem 5707

Find the result of the long division: -4 \longdiv{-248}.

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Problem 5708

Find the value of dd when d=3t4+4d=\frac{3 t}{4}+4 and t=8t=8.

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Problem 5709

Use the quotient rule to simplify p2q3pq2\frac{p^{2} q^{3}}{p q^{2}}, where all bases are not equal to 0.

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Problem 5710

Finde die Länge der Schenkel eines gleichschenkligen Dreiecks, wenn Basis a=37a=37 cm und Höhe hc=35h_c=35 cm sind.

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Problem 5711

Find the value of xx in the equation 8+x=10+3x28+x=10+3x-2.

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Problem 5712

Simplify the given rational expression 5x253x2+3x\frac{5 x^{2}-5}{3 x^{2}+3 x}.

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Problem 5713

Solve for the value of rr in the equation 4r+5=193r4r + 5 = 19 - 3r. Give the answer as a whole number or decimal.

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Problem 5714

A sailboat's shadow ABC\triangle ABC changes to ABC\triangle A'B'C' as the distance to the screen varies. Choose all that apply: it changed shape, size, vertices moved along rays, or position.

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Problem 5715

Solve the linear equation 3x14=2x103x - 14 = 2x - 10 for xx.

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Problem 5716

Solve the linear equation 5x+7(x+2)=4-5x + 7(x + 2) = 4 for xx.

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Problem 5717

Simplify the expression 8cot2(x)+1\frac{8}{\cot^2(x) + 1} using fundamental identities. Verify the result numerically using a graphing utility.

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Problem 5718

Simplify the expression (x+4)2(x+4)^2 using the given steps.

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Problem 5719

Simplify the following expressions: a) x4x6\sqrt{x^{4}} \cdot \sqrt{x^{6}} b) b103b53\sqrt[3]{b^{10}} \cdot \sqrt[3]{b^{5}} e) a1832\sqrt[2]{\sqrt[3]{a^{18}}} f) b4043:b1612\sqrt[3]{\sqrt[4]{b^{40}}}: \sqrt[12]{b^{16}} i) (1x4)3\left(\sqrt[4]{\frac{1}{x}}\right)^{-3} j) (ab)65ab5\frac{\sqrt[5]{(a b)^{6}}}{\sqrt[5]{a b}}

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Problem 5720

Evaluate the polynomial 16+4xx216+4x-x^2 for x=2x=2.

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Problem 5721

Solve a system of linear equations using graphical methods. Round solutions to one decimal place.

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Problem 5722

Find the range of the numbers: 8,4,9,2,38, 4, 9, 2, 3.

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Problem 5723

Solve for ZZ in the equation 3/5(YZ)=X3 / 5(Y-Z)=X.

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Problem 5724

Determine if 9-9 is a solution to the equation 6(x1)=606(x-1) = -60.

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Problem 5725

Find the value of xx when x=92+32x=\sqrt{-9^{2}}+3^{2}.

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Problem 5726

Express 3549\frac{35}{49} as a simplified fraction.

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Problem 5727

Compare elevations of desert locations below sea level. 61.2<17.1-61.2 < -17.1

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Problem 5728

Solve the equation 4d+5=134d + 5 = 13 using a bar diagram.

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Problem 5729

Motorboat travels 189 mi upstream and 287 mi downstream in 7 hrs. Find boat's still water rate and current rate.
Still water rate: \square mi/h Current rate: \square mi/h

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Problem 5730

Find the value of nn that satisfies the equation 8n=15128^{n} = \frac{1}{512}.

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Problem 5731

Which term describes a relationship where one quantity is a multiple of the other? A.Direct variationA. \text{Direct variation} B.VariationB. \text{Variation} C.Direct optionC. \text{Direct option} D.Indirect variationD. \text{Indirect variation} E.Indirect optionE. \text{Indirect option}

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Problem 5732

Find the value of the expression 5x2y=3x6y5x - 2y = 3x - 6y when x=2x = -2.

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Problem 5733

Find the difference between the values of xx and yy in the system of equations y=2x+1y = 2x + 1 and x+3y=10x + 3y = 10.

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Problem 5734

Solve for the unknown letter mm in the equation 5(m2)=3(m+2)5(m-2)=3(m+2).

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Problem 5735

Find the x-coordinate of the point on the line y=23xy=\frac{2}{3} x where the y-coordinate is 14.

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Problem 5736

Find the distance between the line y=x4y = x - 4 and the point (1,5)(-1, 5). Round the answer to the nearest tenth.

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Problem 5737

Find the value of xx that satisfies the equation 2.5x1.6=6.92.5x - 1.6 = 6.9.

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Problem 5738

Find the sum of 9898 and 77.

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Problem 5739

Find the two possible lengths of the third side of a non-right triangle with A=40A=40^\circ, a=47a=47 ft, and b=57b=57 ft. Round to the nearest foot.

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Problem 5740

Identify the term type for "3" in the expression 9+4(x+2)3x9+4(x+2)-3x.

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Problem 5741

Знайдіть нулі функції y=62xy = 6 - 2x.

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Problem 5742

Factorize the expression 7y+217y + 21.

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Problem 5743

Find quadrant of θ\theta when sinθ>0\sin \theta > 0 and secθ>0\sec \theta > 0.

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Problem 5744

Find the formula for the area of a rectangle from the given options.
A=LWA = L * W

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Problem 5745

Expand and simplify the quadratic relation y=2(x+3)(x7)y=-2(x+3)(x-7) to write it in standard form. State the y-intercept.

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Problem 5746

Add the polynomials 3x25x+13x^2 - 5x + 1 and 2x2+9x62x^2 + 9x - 6. Select the correct sum.

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Problem 5747

Solve for kk in the linear equation 3k+3=332k3k + 3 = 33 - 2k. The solution is k=k = \ldots.

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Problem 5748

Find values of aa and bb when c=3c=3 using a=5c11a=5c-11 and b=3ab=3a.

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Problem 5749

Solve the given inequalities and express the solutions using interval notation. Approximations are not accepted. (a) 2ex+11-2e^x + 1 \geq -1 has solution (,1](-\infty, 1]. (b) log(4x)3\log(4x) \geq 3 and (c) log(x2)<2\log(x^2) < 2.

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Problem 5750

Solve for uu in the equation u2+16=31\frac{u}{2} + 16 = 31.

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Problem 5751

What operation undoes X2X^{2}? a) Divide by 2 b) Logit? c) Square root? d) Square it.

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Problem 5752

Solve for yy in the equation 57=3(y7)-57=3(y-7).

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Problem 5753

Grafisch löse Gleichungssysteme. Forme Gleichungen in Normalform um und prüfe Schnittpunkte.
a) 2x+2y=14,6x3y=152x + 2y = 14, 6x - 3y = 15 b) 3x+3y=6,5y+15x=103x + 3y = 6, 5y + 15x = -10 c) 3x=93y,2yx=93x = 9 - 3y, 2y - x = -9 f) 3x6y=12,3x+6y=243x - 6y = 12, 3x + 6y = 24 d) 4y2x=3,2yx=94y - 2x = -3, 2y - x = -9 e) 4x+4y=8,x2y=84x + 4y = -8, x - 2y = -8
Lösungen: (43),(52),(42),(1.51.5),(61),(24)(4|3), (5|-2), (-4|2), (-1.5|-1.5), (6|1), (-2|4)

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Problem 5754

Solve for xx in the linear equation 10(x5)=8010(x-5)=-80. Provide the solution(s) using basic arithmetic operations and common mathematical symbols.

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Problem 5755

Find the simplest form of the fraction 36104\frac{36}{104}.

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Problem 5756

Evaluate the expression 8+(83)×7-8+(8--3) \times 7.

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Problem 5757

Find the maximum/minimum of a quadratic function by locating its vertex: yy-coord of vertex is the max/min value, depending on graph orientation.

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Problem 5758

Solve for xx in the equation ln(9x+4)=4.2\ln (9 x+4)=4.2, rounding the final solution to 3 decimal places.

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Problem 5759

Calculate the value of 3×8+2+7×423 \times 8 + 2 + 7 \times 4^2.

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Problem 5760

Solve the equation x=15-x=-15. Simplify the solution x=x=\square.

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Problem 5761

Simplify the expression: (82)2\left(\frac{-8}{2}\right)^{2}.

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Problem 5762

Solve the equation 6x4=446x - 4 = 44. Simplify the solution x=x = \square.

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Problem 5763

Solve the equation 3=123=\underline{12} for the unknown value.

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Problem 5764

Divide 2/72 / 7 by 1.5 and simplify the result.

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Problem 5765

Solve the subtraction problem 3.4821.1863.482 - 1.186 using the subtraction algorithm.

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Problem 5766

What percent of 3,000 people trying a new shampoo had a mild allergic reaction? 123,000×100=\frac{12}{3,000} \times 100 = % of people had a mild allergic reaction.

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Problem 5767

Find the value of nn in 10=n10 = n. Solve the proportion with 88 and 1010.

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Problem 5768

Solve the cubic equation 27x31=027 x^{3}-1=0 and find its real and complex roots.

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Problem 5769

Finde die Gleichung der verschobenen Parabel y=x2y = x^2 mit Verschiebungen um (a) 1 nach oben, (b) 2 nach unten, (c) 1 nach rechts, (d) 1,5 nach links.

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Problem 5770

Solve for xx in the equation 0.8(0.9x+0.8)=(x+7)30.8(-0.9x + 0.8) = -(x + 7) - 3.

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Problem 5771

Solve 3p7+p=133 p-7+p=13. What is the equation after the first step? p7=133pp-7=13-3 p

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Problem 5772

Solve for vv where v5.2=9.8v-5.2=9.8.

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Problem 5773

Expand the function f(x)=x2(x+2)5f(x) = x^2(x + 2) \cdot 5.

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Problem 5774

Perform calculator operations involving change-of-sign key. Find the answers for: 3354÷43+13354 \div 43+1, 567+H+184567+H+184, 178×23+H178 \times 23+H, 57+H92+H57+H-92+H.

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Problem 5775

Find the solutions to tan(x+π/3)=3/3\tan(x + \pi/3) = \sqrt{3}/3 over [0,2π][0, 2\pi].

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Problem 5776

Simplify the expression 218-2 \sqrt{18}.

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Problem 5777

Solve for xx where 72x5=3437^{2x-5}=343. The solution set is {52\frac{5}{2}}.

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Problem 5778

Scatterplot: a graph of paired (x,y)(x, y) quantitative data that visually shows patterns in the data.

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Problem 5779

Find the range of the cost function C=98+0.12nC = 98 + 0.12n for newspaper printing. Express the range as CyC \geq y and the domain as nxn \geq x.

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Problem 5780

Graph a triangle with vertices A(3,1),B(3,4),C(7,1)A(3,1), B(3,4), C(7,1). Classify the triangle by its sides and determine if it is a right triangle.

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Problem 5781

Find aa and bb in the equation w=at+bw=a t+b where ww is the water volume (gallons) in a tank filled at 8 gallons/minute starting with 50 gallons.

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Problem 5782

Find the value of cc that makes the quadratic expression x2+x+cx^2 + x + c a perfect square.

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Problem 5783

Find the least residue of 50(mod3),50(mod4),55(mod7),34(mod4),75(mod5)50 \pmod{3}, 50 \pmod{4}, 55 \pmod{7}, 34 \pmod{4}, 75 \pmod{5} and show your work.

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Problem 5784

Find the monthly payment PMTPMT for a loan with P=$25,823P=\$25,823, n=80n=80, and i=0.023i=0.023. (Round PMTPMT to two decimal places.)

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Problem 5785

Solve for the unknown variable x in the given proportions. Round the solutions to two decimal places.
a. 1:2=4:x1: 2 = 4: x x=8 x=8
b. x:1.2=3:9x: 1.2 = 3: 9 x=4.00 x=4.00

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Problem 5786

Bestimme die Ableitung und Nullstellen der Funktion y=x2+1y=x^{2}+1 und skizziere den Graphen.

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Problem 5787

Find the value of xx in the equation 82×85830=8x\frac{8^{2} \times 8^{5}}{8^{30}}=8^{x}.

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Problem 5788

Solve for the value of dd in the equation 2(3d+7)=4d+262(3d+7) = 4d + 26.

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Problem 5789

Add 11.2311.23 and 14.21914.219 to find the correct answer.

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Problem 5790

Find the value of xx when e6x=26e^{6x} = 26.

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Problem 5791

Simplify the product of 127\frac{12}{7} and 98\frac{9}{8} and express it in lowest terms.

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Problem 5792

Graph the equation y=log3(x+3)+3y=\log_{3}(x+3)+3, then find its domain, range, and vertical asymptote.

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Problem 5793

Simplify expression with higher roots: 22x63y32 \sqrt[6]{2 x} - \sqrt[3]{3 y}

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Problem 5794

Find the value of yy in the equation 6469=16y\frac{6^{4}}{6^{9}}=\frac{1}{6^{y}}, giving the answer as a whole number or simplified fraction.

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Problem 5795

Solve for zz in the equation A=P(zt)A=P(z-t)

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Problem 5796

Write a compound statement in symbolic form: The store is not closed if and only if it is not Sunday. ¬p¬q\neg p \leftrightarrow \neg q

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Problem 5797

Evaluate f(x)=x+8f(x)=\sqrt{x+8} at x=4x=-4 and simplify.

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Problem 5798

Find the smallest product of two numbers from the given values in standard form: 4.5×1054.5 \times 10^{5}, 1×1061 \times 10^{6}, 8×1038 \times 10^{3}, 5×1055 \times 10^{5}.

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Problem 5799

Find the smallest of 1/3+0.41/3 + 0.4, 1+2.11 + 2.1, 0.20+0.310.20 + 0.31, and 6/106/10.

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Problem 5800

Find the values of xx that satisfy the equation 5x2+7x+9=53x5x^2 + 7x + 9 = 5 - 3x. Give each answer to 2 decimal places.

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