Expression

Problem 12101

Question 9 (Mandatory) (1 point) What is the factored form of x2+2x+1x^2 + 2x + 1

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Problem 12102

Question 12 (Mandatory) (1 point)
What number must you add to x2+12xx^2 + 12x to create a perfect square?

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Problem 12103

Question 8 (1 point) 1cot2θ+secθcosθ\frac{1}{\cot ^{2} \theta}+\sec \theta \cos \theta csc2θ\csc ^{2} \theta tan2θ\tan ^{2} \theta sec2θ\sec ^{2} \theta 1

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Problem 12104

You need to cut 7 pieces of length 5345 \frac{3}{4} inches. What is the total length of keystock required in inches?

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Problem 12105

Find the unit price of a 12-ounce can of frozen orange juice that costs \$2.04 in cents per ounce.

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Problem 12106

Find the gas consumption rate if you drive 364 miles using 13 gallons: Rate=36413\text{Rate} = \frac{364}{13} miles per gallon.

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Problem 12107

Simplify the square root: 64\sqrt{64}.

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Problem 12108

Calculate the unit rates for \$6.29 for 12 quarts. Find dollars per quart and quarts per dollar. Round to the nearest hundredth.

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Problem 12109

Simplify the square root: 256\sqrt{256}.

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Problem 12110

Evaluate the limit or state if it doesn't exist: limx0sin(15x)x=\lim _{x \rightarrow 0} \frac{\sin (15 x)}{x}= (3 decimal places or DNE)

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Problem 12111

A car emits 30.4 tons of CO₂ in 4 years. Calculate its annual carbon footprint in tons per year.

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Problem 12112

Calculate 200(195+6)2÷8200 - (19 - 5 + 6)^{2} \div 8.

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Problem 12113

Calculate the exact value of sec30\sec 30^{\circ}. Simplify your answer with integers or fractions.

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Problem 12114

Finde die Quadratwurzel von 2. 2\sqrt{2}

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Problem 12115

Berechne die Quadratwurzel von 2: 2 \sqrt{2}

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Problem 12116

Find the area AA using the formula A=12bhA = \frac{1}{2} b h with b=6b = 6 and h=5h = 5.

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Problem 12117

Calculate 6(n4)6(n-4) for n=6n=6.

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Problem 12118

Simplify the expression: 1+1x+711x+7\frac{1+\frac{1}{x+7}}{1-\frac{1}{x+7}}.

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Problem 12119

Find the GCF of the polynomial 4x4+12x336x2+24x4 x^{4}+12 x^{3}-36 x^{2}+24 x. Options: 2x2 x, 6x6 x, 4, 4x4 x.

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Problem 12120

Find another factor of x35x2+6xx^{3}-5 x^{2}+6 x if one factor is linear. Options: x+3x+3, x2x-2, x+2x+2, x2+5x+6x^{2}+5 x+6.

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Problem 12121

Which pattern helps factor 16x849x216 x^{8}-49 x^{2}? Options: difference of squares, perfect squares, or neither.

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Problem 12122

Evaluate 161/416^{-1 / 4} without a calculator. Provide an integer, simplified fraction, or DNE if not real.

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Problem 12123

A climber starts at 12,740ft12,740 \mathrm{ft}, descends 200ft200 \mathrm{ft}. What is their new elevation above sea level?

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Problem 12124

Simplify the cube root of -8 using rational numbers: 83\sqrt[3]{-8}.

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Problem 12125

When you multiply 104.3 by 10, it shifts the decimal right to 1,043. Why does multiplying by 0.10 shift it to 10.43?

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Problem 12126

Simplify the expression 13\sqrt[3]{-1} using rational numbers.

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Problem 12127

Some square roots, like 13\sqrt{13}, can't be expressed exactly. Why is it okay to round 13\sqrt{13} to a decimal?

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Problem 12128

Which store offers the lowest total price for 6 T-shirts? Prices are: 1: \$7.00 each, 2: 2 for \$14.99, 3: 3 for \$20.95, 4: 6 for \$41.95, 5: Buy 2 for \$21.10, get 1 free.

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Problem 12129

Tisha's trapezoidal rack has bases 24 in and 38 in. Find the length of the brace joining the midpoints of the sides. A. 26 B. 28 C. 31 D. 32 E. 33.5

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Problem 12130

What is the maximum percent correct Tomás can earn if he answered 24 right and 3 wrong on a 30-question test?

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Problem 12131

Compute 88798 \cdot 8 - 7 \cdot 9.

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Problem 12132

Find the result of 12÷2+412 \div 2 + 4.

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Problem 12133

What is the sum of the complex numbers 9\sqrt{-9} and 16\sqrt{-16}? Choose from: A. 7i7 i, B. 5i5 i, C. 7, D. 5, E. -5.

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Problem 12134

Factor the expression x2y2x^{2}-y^{2}.

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Problem 12135

Find the area of a triangle with sides 5 mm, 5 mm, and 6 mm. Options: A. 6 B. 12 C. 15 D. 25 E. 30

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Problem 12136

Simplify: 3.8+2.3(1.1)-3.8 + 2.3 - (-1.1)

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Problem 12137

Evaluate the expressions with a=4a=4 and b=2b=2:
1. 2a+3b=2a + 3b =
2. a2b+10=a^2 - b + 10 =
3. (ab)2(a+b)2=(ab)^2 - (a + b)^2 =

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Problem 12138

Divide 568 by 86.

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Problem 12139

Leila buys a dinosaur model for xx dollars plus 7%7\% tax. Which expressions show her total cost? Choose 2: A 107100x\frac{107}{100} x B 0.7x+x0.7 x+x C 1.07x1.07 x D x+710xx+\frac{7}{10} x E 1.7x1.7 x

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Problem 12140

Last Sunday’s average temperature was 8%8\% higher than two Sundays ago, which was TT degrees. Find two expressions for last Sunday’s temp.

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Problem 12141

What decimal equals 194\frac{19}{4}? Choose: (A) 4.3 (B) 4.34 . \overline{3} (C) 4.75 (D) 4.754 . \overline{75}.

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Problem 12142

Calculate 5×x37 5 \times \frac{\sqrt[3]{x}}{7} .

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Problem 12143

What is the decimal equivalent of 769\frac{76}{9}? Choose one: (A) 8.3 (B) 8.38 . \overline{3} (C) 8.48 . \overline{4} (D) 8.4445

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Problem 12144

Find the value of [G(1)]3[G(2)]2+4G(1)10\frac{{[G(-1)]^{3} - [G(2)]^{2} + 4 \cdot G(-1)}}{10} given G(1)=20G(-1) = 20 and G(2)=10G(2) = -10.

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Problem 12145

Find the fraction and decimal equivalent of a refrigerator's sale price at 32%32\% off its original price.

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Problem 12146

The stove costs \$0.87 more than the dishwasher. Express \$0.87 as a fraction and a percent.

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Problem 12147

David bought a washing machine for \680.00witha680.00 with a \frac{1}{5}$ discount. Convert this fraction to decimal and percent.

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Problem 12148

Find the limit: limx8+1x8\lim _{x \rightarrow 8^{+}} \frac{1}{x-8}.

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Problem 12149

Convert the following decimals to mixed numbers or fractions: a. 8.26, b. -0.675.

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Problem 12150

Find the slope for each pair of points: (4,7) & (8,10), (2,1) & (3,4), etc., and determine line behavior.

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Problem 12151

Find the slope and equations of the line through points (6,7)(6,7) and (13,11)(13,11).
(A) Slope: m=m=\square (integer or simplified fraction). B. Slope not defined.

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Problem 12152

Describe the various ways to express rational numbers, including fractions, decimals, and percentages.

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Problem 12153

Find the standard deviation from the variance S2=0.00107S^{2}=0.00107. Round your answer to five decimal places.

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Problem 12154

Find the significant figures in the measurement 1036.48g1036.48g.

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Problem 12155

Does the integral e3xdx\int_{-\infty}^{\infty} e^{-3 x} dx converge or diverge?

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Problem 12156

Find the slope and equations of the line through points (6,1)(6,1) and (10,6)(10,6).
(A) Slope: A. m=m=\square or B. Not defined.
(B) Point-slope form.
(C) Slope-intercept form.
(D) Standard form.

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Problem 12157

Calculate the number of F\mathbf{F} atoms in 5.31\mathbf{5.31} moles of F\mathbf{F}.

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Problem 12158

Find the significant figures in the measurement 20.8.

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Problem 12159

Count the significant figures in the measurement 5.0×1035.0 \times 10^{-3} L.

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Problem 12160

Find the significant figures in the measurement: 60,810,000g60,810,000g.

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Problem 12161

Find the decimal equivalents of these fractions: -31 86/100, -31 45/50, -23/20, 7/20, -60/22, 1/18.

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Problem 12162

Find the decimal equivalents of these rational numbers: a. 720\frac{7}{20}, b. 2320-\frac{23}{20}, c. 118\frac{1}{18}, d. 6022-\frac{60}{22}.

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Problem 12163

Find the significant figures in the measurement 1036.48g1036.48g.

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Problem 12164

Calculate the standard deviation from a variance of 0.001800.00180. Round to four decimal places.

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Problem 12165

Find the limit: limt4+7t28t216\lim _{t \rightarrow 4^{+}} \frac{|7 t-28|}{t^{2}-16}.

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Problem 12166

Calculate 6×66 \times 6.

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Problem 12167

Find the significant figures in the measurement: 60,810,000g60,810,000g.

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Problem 12168

How many significant figures are in the measurement 5.0×1035.0 \times 10^{-3}?

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Problem 12169

Convert these decimals to mixed numbers or fractions: a. 8.465 b. -0.68

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Problem 12170

Find the significant figures in these values: 5.0×1035.0 \times 10^{-3} L, 20.820.8, 99.099.0, 13.7013.70, 60,810,00060,810,000 g, 1036.481036.48 g.

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Problem 12171

Convert 1340000 to scientific notation.

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Problem 12172

Find the standard deviation given a variance of 0.00445. Round to four decimal places.

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Problem 12173

Convert 0.000354 to scientific notation.

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Problem 12174

Convert 1 meter (m) to nanometers (nm): 1m=?nm1 \mathrm{m} = ? \mathrm{nm}.

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Problem 12175

Convert the rug dimensions from inches to centimeters: length 36.3in36.3 \mathrm{in}, width 26.7in26.7 \mathrm{in}.

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Problem 12176

How many yards is 1,000 feet as a mixed number, knowing there are 3 feet in a yard?

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Problem 12177

Find the value of the integral 44f(x)dx\int_{4}^{4} f(x) d x given that ff and gg are continuous functions.

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Problem 12178

Find the value of 25f(x)dx\int_{2}^{5} f(x) d x given that 02f(x)dx=1\int_{0}^{2} f(x) dx=-1 and 05f(x)dx=3\int_{0}^{5} f(x) dx=3.

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Problem 12179

Find the value of the integral 20g(x)dx\int_{2}^{0} g(x) d x given 02g(x)dx=8\int_{0}^{2} g(x) d x=8. Enter as a decimal or DNE.

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Problem 12180

Convert 228mg228 \mathrm{mg} to grams. Provide your answer in grams.

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Problem 12181

Calculate the integral 02(5f(x)+g(x))dx\int_{0}^{2}(5 f(x)+g(x)) d x given that 02f(x)dx=1\int_{0}^{2} f(x) d x=-1 and 02g(x)dx=8\int_{0}^{2} g(x) d x=8.

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Problem 12182

Calculate the expression: 164÷1/4+2=16 - 4 \div 1 / 4 + 2 =

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Problem 12183

Convert 20.4 dL to milliliters. Express your answer as a number.

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Problem 12184

Solve the equation: 4+44 + 4.

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Problem 12185

Calculate the following sums and product: 4+44+4, 6+46+4, 8+48+4, 4+44+4, and 4×44 \times 4.

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Problem 12186

Calculate the product of 12 and 12: 12×12=?12 \times 12 = ?

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Problem 12187

Factor the expression 36x3+21x2+3x36 x^{3}+21 x^{2}+3 x as ax(bx+1)(cx+1)a x(b x+1)(c x+1) with b>cb>c. Find the value of cc.

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Problem 12188

Landen spent LL hours at the beach. Matéo spent 15% fewer hours. Which expressions show Matéo's hours? Choose 2: A L115LL-\frac{1}{15} L B L(10.15)L(1-0.15) C 0.15L0.15 L D L15100L-\frac{15}{100} E L320LL-\frac{3}{20} L

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Problem 12189

Convert 19.07 to a mixed number.

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Problem 12190

Landen spent LL hours at the beach. Matéo spent 15% fewer hours. Which expressions represent Matéo's hours? Choose 2: A) L115LL-\frac{1}{15} L, B) L(10.15)L(1-0.15), C) 0.15L0.15 L, D) L15100L-\frac{15}{100}, E) L320LL-\frac{3}{20} L.

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Problem 12191

A caterpillar eats 1400%1400\% of its birth mass, mm grams. Which expressions represent its daily food intake? Choose 2: A 14m14 m, B 1400100m\frac{1400}{100} m, C 140m140 m, D 1.4m1.4 m, E 1400m1400 m.

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Problem 12192

Calculate the area of a rectangle with length 293\frac{29}{3} and width 899\frac{89}{9}.

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Problem 12193

Convert 4.608lb4.608 \mathrm{lb} to kilograms with four significant figures.

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Problem 12194

Convert 0.804ft0.804 \mathrm{ft} to millimeters, rounding to three significant figures.

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Problem 12195

Convert 1.6 m1.6 \mathrm{~m} to inches, rounding your answer to two significant figures.

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Problem 12196

The answer is 18.

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Problem 12197

Convert 6.7 L\mathrm{L} to quarts, rounding your answer to two significant figures.

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Problem 12198

What is the sum of 62 ones, 20 ten thousands, and 300 tens? Show your work: 2,000+200+802,000 + 200 + 80.

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Problem 12199

Divide 9.205 by 3.5.

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Problem 12200

Calculate the value of the expression: 3.59.205\frac{3.5}{9.205}.

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