Math Statement

Problem 13001

Find the expression equivalent to 4(4a+6)4(4 a+6). Options: 16a+2416 a+24, 4(6a+4)4(6 a+4), 24a+1624 a+16, 16a+616 a+6.

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Problem 13002

Choose the expressions equivalent to 8(3x+1)8(3 x+1): 3x+83 x+8, (3x+1)8(3 x+1) 8, 24x+824 x+8, 8(1+3x)8(1+3 x).

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Problem 13003

Convert the mixed number 3 1/6 to an improper fraction.

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Problem 13004

Find expressions equivalent to 5(6b+9)+45(6 b+9)+4. Choices: 49b+3049 b+30, 30b+4930 b+49, 5(9+6b)+45(9+6 b)+4, 6b+496 b+49.

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Problem 13005

Find expressions equivalent to 3(5f+7)+7f3(5 f+7)+7 f. Options include 5(7f+3)+7f5(7 f+3)+7 f, 7(3f+5)+7f7(3 f+5)+7 f, 3(4f+f+7)+7f3(4 f+f+7)+7 f, and 12f+2112 f+21.

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Problem 13006

Find expressions equivalent to 2(s+9)2(s+9). Options: 2s+182s+18, (s+9)2(s+9)2, 18s+218s+2, 11s11s.

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Problem 13007

Multiply and simplify: 1139561 \frac{1}{3} \cdot 9 \frac{5}{6}

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Problem 13008

Find expressions equivalent to (2z3)(9z+5)(-2 z-3)-(9 z+5). Options: 2z3+9z5-2 z-3+-9 z-5, 5+11z3-5+-11 z-3, 11z8-11 z-8, (3z2)(5z+9)(-3 z-2)-(5 z+9).

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Problem 13009

Find expressions equivalent to 2(2j+7)2(-2 j+7). Options include: 4j+7-4 j+7, 2(4j+2j+7)2(-4 j+2 j+7), 4j+14-4 j+14, 14j414 j-4.

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Problem 13010

Find expressions equivalent to 7(7p+3)+27(7 p+3)+2. Options include:
1. 7p+237 p+23
2. (7p+3)7+2(7 p+3) 7+2
3. 7(3p+4p+3)+27(3 p+4 p+3)+2
4. 7(3+7p)+27(3+7 p)+2

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Problem 13011

Find expressions equivalent to 4(5n+4)5n4(-5 n+4)-5 n. Options include: 5(4n+4)5n-5(4 n+4)-5 n, 16n2516 n-25, 25n+4-25 n+4, 4(7n+2n+4)5n4(-7 n+2 n+4)-5 n.

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Problem 13012

Choose expressions equivalent to (3y2)(4y+6)(-3y - 2) - (-4y + 6). Options: 2+4y63y-2 + 4y - 6 - 3y, 8y+1-8y + 1, 7y-7y, y8y - 8.

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Problem 13013

Choose the equivalent expressions for 5(8k+6)+85(8 k+6)+8: 38k+4038 k+40, (8k+6)5+8(8 k+6) 5+8, 40k+3840 k+38, 5(6+8k)+85(6+8 k)+8.

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Problem 13014

Find equivalent expressions for (7m+7)+(6m+5)(7 m+7)+(6 m+5). Options include: 13m+1213 m+12, 13m+7+513 m+7+5, (7+7m)+(5+6m)(7+7 m)+(5+6 m), 7m+(7+6m)+57 m+(7+6 m)+5.

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Problem 13015

Choose the expressions equivalent to (6u4)(3u8)(6 u-4)-(3 u-8).

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Problem 13016

Find expressions equivalent to (9j7)+(5j+5)(9 j-7)+(-5 j+5). Options: 4j24 j-2, (5j+5)+(9j+7)(-5 j+5)+(9 j+-7), 2j+4-2 j+4, 9j+57+5j9 j+5-7+-5 j.

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Problem 13017

Choose the equivalent expressions for 5(2d+2)+35(2 d+2)+3: 2(5d+2)+32(5 d+2)+3, (2d+2)5+3(2 d+2) 5+3, 10d+1310 d+13, 2(2d+5)+32(2 d+5)+3.

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Problem 13018

Calculate the product of 4,899 and 67: 4,899×674,899 \times 67.

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Problem 13019

Calculate 4,899×674,899 \times 67.

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Problem 13020

Evaluate f(x)=x4f(x)=x-4 for x=1x=1.

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Problem 13021

Evaluate f(x)=x4f(x)=x-4 for x=1x=1. What is f(1)=?f(1)=?

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Problem 13022

Calculate 4,899×674,899 \times 67 and 756×300756 \times 300.

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Problem 13023

Determine if the function g(x)=9x3+8g(x)=-9 x^{3}+8 is even, odd, or neither.

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Problem 13024

Find the result of 2000 - 1689.

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Problem 13025

Find the average rate of change of f(x)=x36x+4f(x)=x^{3}-6 x+4 for the intervals: (a) -7 to -4, (b) -2 to 2, (c) 2 to 7.

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Problem 13026

Find the average rate of change of h(x)=x28xh(x)=x^{2}-8x from 3 to 7 and the secant line through (3,h(3))(3, h(3)) and (7,h(7))(7, h(7)).

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Problem 13027

Determine if g(x)=x348xg(x)=x^{3}-48 x is even, odd, or neither. Find the local maximum value given a local minimum of -128 at 4.

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Problem 13028

Find the 47th term of the sequence given by an=11+(n1)(3)a_{n}=-11+(n-1)(-3). Options: A. -149 B. -152 C. 127 D. -138

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Problem 13029

Add and simplify: 289+3562 \frac{8}{9}+3 \frac{5}{6}. What is the mixed number result?

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Problem 13030

For the function g(x)=x3+48xg(x)=-x^{3}+48 x, check if it's even, odd, or neither, and find the local maximum value given a local minimum of -128 at -4.

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Problem 13031

Evaluate 45/24^{5 / 2}.

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Problem 13032

Convert 178°C to Fahrenheit using the formula F=95C+32F=\frac{9}{5} C+32. What is FF?

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Problem 13033

Given F(x)=x4+2x2+224F(x)=-x^{4}+2 x^{2}+224, find if FF is even/odd, a second local max, and the area from x=4x=-4 to x=0x=0.

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Problem 13034

Solve the inequality 6x123x+66 x - 12 \leq 3 x + 6. What is the solution?

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Problem 13035

Given the function F(x)=x4+2x2+224F(x)=-x^{4}+2 x^{2}+224, find if it's even/odd, a second max value, and the area from x=4x=-4 to x=0x=0.

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Problem 13036

Classify the functions as Linear, Exponential, or Quadratic:
1. f(x)=2x2+xf(x)=-2 x^{2}+x
2. f(x)=3(14)xf(x)=3\left(\frac{1}{4}\right)^{x}
3. f(x)=2x+6f(x)=-2 x+6

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Problem 13037

Find the instantaneous velocity of the object at t=2t=2 for the location function L(t)=3t25t3L(t)=-3 t^{2}-5 t-3. Compute L(2+h)L(2+h), average velocity, and then the limit as h0h \to 0.

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Problem 13038

Calculate 32[(58102)÷(16+3)]\frac{3}{2}\left[\left(58-10^{2}\right) \div(\sqrt{16}+3)\right].

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Problem 13039

Find (r+s)(x)(r+s)(x) and (rs)(x)(r \cdot s)(x) for r(x)=4x+5r(x)=4x+5 and s(x)=6xs(x)=6x, then evaluate (rs)(1)(r-s)(1).

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Problem 13040

Solve for pp in the proportion p15=96180\frac{p}{15}=\frac{96}{180}. Choices: 2832428 \frac{3}{24}, 88, 9999, 12601260.

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Problem 13041

Calculate (22511)1212(862)3\frac{(\sqrt{225}-11) \cdot 12}{-12-(8-6^{2})}-|-3|.

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Problem 13042

Combine and simplify: 5ax6a8a+7x2a+2\frac{5 a-x}{6 a}-\frac{8 a+7 x}{2 a}+2 into a single fraction.

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Problem 13043

Calculate the expression: 56÷(79)3252354\frac{56 \div(7-9)^{3}-25}{23-5 \cdot 4}.

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Problem 13044

What is the result of 4×8-4 \times 8? a) -2 b) 2 c) 32 d) -32

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Problem 13045

What is the result of 9+12-9 + 12? a) -3 b) 3 c) -21 d) 21

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Problem 13046

Find the instantaneous velocity of the object at t=7t=7 for s(t)=12t5s(t)=\frac{1}{2t-5} using limits.

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Problem 13047

Find the instantaneous velocity of the object at t=5t=5 for s(t)=4t3s(t)=\sqrt{4t-3} using limits and exact values.

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Problem 13048

Find the least common multiple of 16u3x416 u^{3} x^{4} and 6u7v5x26 u^{7} v^{5} x^{2}.

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Problem 13049

Evaluate 7a5b7a - 5b for a=4a = 4 and b=3b = 3. Options: 1, 13, 21, 69.

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Problem 13050

Simplify the expression a2+2(b6)17a^{2}+2(b-6)-17.

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Problem 13051

Solve the equation: a2+2(b6)17=24a^{2}+2(b-6)-17=24.

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Problem 13052

Find the least common multiple of 16u3x416 u^{3} x^{4} and 6u7v5x26 u^{7} v^{5} x^{2}.

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Problem 13053

Find the least common multiple of 16u3x416 u^{3} x^{4} and 6u7v5x26 u^{7} v^{5} x^{2}.

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Problem 13054

Calculate the value of 8×514×3128 \times 5 \frac{1}{4} \times 3 \frac{1}{2}. Options: 12018120 \frac{1}{8}, 163\frac{16}{3}, 531853 \frac{1}{8}, 147.

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Problem 13055

Simplify the expression: 4yy(37y)+5+2(8y)4y - y(3 - 7y) + 5 + 2(8 - y). What should you do first?

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Problem 13056

Solve x2=24x^{2}=24 for real xx and simplify your answer.

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Problem 13057

Find the instantaneous velocity of the object at t=4t=4 for s(t)=2t25t2s(t)=-2t^{2}-5t-2. Compute s(4+h)s(4+h) and average velocity.

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Problem 13058

Find the 7th term in the sequence given by an=3(3)(n1)a_{n}=-3 \cdot(3)^{(n-1)}. Options: A. 6561 B. -6561 C. -2187 D. 2187

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Problem 13059

Calculate the sum of the fractions 76\frac{7}{6} and 136\frac{13}{6} and determine the mixed number result.

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Problem 13060

Given functions q(x)=2x1q(x)=2x-1 and r(x)=2x2+1r(x)=-2x^{2}+1, find (rq)(5)(r \circ q)(-5) and (qr)(5)(q \circ r)(-5).

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Problem 13061

Calculate the sum of 76\frac{7}{6} and 136\frac{13}{6}. What is the result?

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Problem 13062

Find the slope of the tangent line to f(x)=3x2f(x)=3 x^{2} at x=4x=4 using the limit definition of the derivative.

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Problem 13063

Solve for yy in the equation: 48=45y648=45-\frac{y}{6}.

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Problem 13064

Condense and simplify: 2(log18log3)+12log116=log[?]2(\log 18 - \log 3) + \frac{1}{2} \log \frac{1}{16} = \log [?]

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Problem 13065

Rewrite the fractions 34\frac{3}{4} and 710\frac{7}{10} with a common denominator. Options: 3040\frac{30}{40}, 2840\frac{28}{40}, 6080\frac{60}{80}, 1520\frac{15}{20}, 320\frac{3}{20}.

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Problem 13066

Find the common ratio of the geometric sequence: 3,12,48,192,3, 12, 48, 192, \ldots A. 9 B. 4 C. 16 D. 3

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Problem 13067

Add and simplify the mixed number if needed: 38+23\frac{3}{8} + \frac{2}{3}.

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Problem 13068

Find the common ratio of the geometric sequence: 64,16,4,1,64, 16, 4, 1, \ldots. A. 4 B. 14\frac{1}{4} C. 8 D. 18\frac{1}{8}

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Problem 13069

Add and simplify: 378+2153 \frac{7}{8} + 2 \frac{1}{5}. Write your answer as a mixed number.

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Problem 13070

Find the recursive formula for the sequence 2,10,50,250,2, -10, 50, -250, \ldots. Options: A, B, C, D.

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Problem 13071

Calculate 2264×742264 \times \frac{7}{4}.

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Problem 13072

Multiply and simplify: 245761524 \cdot \frac{5}{7} \cdot \frac{6}{15}. Write answer as whole or mixed numbers if possible.

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Problem 13073

Find the intersection of sets A and B given U, A, and B: U={1,2,3,4,5,6}U=\{1,2,3,4,5,6\}, A={1,2,3,6}A=\{1,2,3,6\}, B={1,2,4}B=\{1,2,4\}.

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Problem 13074

Given the function F(x)=x4+16x2+225F(x)=-x^{4}+16 x^{2}+225, find if it's even/odd, another local max, and area from x=5x=-5 to x=0x=0.

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Problem 13075

Add and simplify the mixed numbers: 378+2153 \frac{7}{8} + 2 \frac{1}{5}. What is the answer as a mixed number?

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Problem 13076

Calculate 600333600 - 333.

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Problem 13077

For the function F(x)=x4+4x2+192F(x)=-x^{4}+4 x^{2}+192, find if FF is even/odd, a second local max, and area from x=4x=-4 to x=0x=0.

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Problem 13078

Find the revenue and profit functions for Gymnast Clothing, where cost is C(x)=3,250+8x+0.1x2C(x)=3,250+8x+0.1x^2 and price is \$130 per pair.

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Problem 13079

Find the sum of 333 and 789: 333+789333 + 789

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Problem 13080

Calculate 679389679 - 389.

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Problem 13081

Add the numbers 28 and 23. What is the sum?

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Problem 13082

Add the numbers 382 and 283. What is the sum?

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Problem 13083

Find the weekly profit function P(x)P(x) for T-shirts with demand q=50x+7200q=-50x+7200 and cost C(x)=1800x+340200C(x)=-1800x+340200. Also, find the break-even price.

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Problem 13084

Identify the true proportion among these: 1015=4550 \frac{10}{15}=\frac{45}{50} , 616=414 \frac{6}{16}=\frac{4}{14} , 3040=2436 \frac{30}{40}=\frac{24}{36} , 1628=1221 \frac{16}{28}=\frac{12}{21} .

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Problem 13085

Divide and simplify: 20÷1253120 \div 1 \frac{25}{31}. Provide a whole number, proper fraction, or mixed number.

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Problem 13086

Solve for aa in the equation 15a3=9\frac{15-a}{3}=-9.

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Problem 13087

Convert the mixed number 5 1/8 to an improper fraction:
518= 5 \frac{1}{8}=

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Problem 13088

Gymnast Clothing's cost for xx pairs of cleats is C(x)=3,250+8x+0.1x2C(x)=3,250+8x+0.1x^{2}. Selling price is \$130 per pair. Find revenue and profit functions. How many pairs for profit?

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Problem 13089

Find the complement of the intersection of sets A and C. Given U={1,2,3,4,5,6,7,8}U=\{1,2,3,4,5,6,7,8\}, A={1,2,3,4}A=\{1,2,3,4\}, C={1,2,3,6,8}C=\{1,2,3,6,8\}.

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Problem 13090

Multiply and simplify: 24356924 \cdot \frac{3}{5} \cdot \frac{6}{9}. What is the answer as a whole or mixed number?

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Problem 13091

Simplify the fraction 12/16 to its lowest terms.

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Problem 13092

Convert 0.573μL0.573 \mu \mathrm{L} to qt\mathrm{qt} and 9,031 mm9,031 \mathrm{~mm} to km\mathrm{km}.

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Problem 13093

Translate (x,y)(x4,y+1)(x, y) \rightarrow(x-4, y+1) and reflect the result across the line y=1y=1.

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Problem 13094

Convert 5ft5 \mathrm{ft} to cm\mathrm{cm} and then multiply by 102 cm10^{2} \mathrm{~cm}.

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Problem 13095

List these quantum number sets by increasing energy: I. n=4,I=1,ml=1,ms=+1/2n=4, I=1, m_{l}=1, m_{s}=+1/2 II. n=3,I=2,ml=1,ms=+1/2n=3, I=2, m_{l}=-1, m_{s}=+1/2 III. n=4,I=0,ml=0,ms=+1/2n=4, I=0, m_{l}=0, m_{s}=+1/2

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Problem 13096

Simplify the fraction to its lowest terms: 2128\frac{21}{28}.

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Problem 13097

Divide and simplify to the lowest terms, expressing as a whole or mixed number if possible: 35÷12\frac{3}{5} \div \frac{1}{2}

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Problem 13098

Calculate 637×54637 \times 54.

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Problem 13099

Multiply and simplify: 143423\frac{1}{4} \cdot \frac{3}{4} \cdot \frac{2}{3}.

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Problem 13100

Solve the equation 52(n+43)=3n32-\frac{5}{2}(n + \frac{4}{3}) = 3n - \frac{3}{2}.

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