Math

Problem 56201

Suzie earns \$3,070 weekly. Calculate her yearly Social Security and Medicare deductions, then find state and federal unemployment taxes.

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Problem 56202

Compare the sugar concentration of Patrick's solution ( $\frac{3}{3+4}$ ) and Thomas's solution ( $\frac{6}{6+7}$ ).

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Problem 56203

What is the mass in grams of a 67.20 mol sample of iron? Provide your answer to 4 significant figures.

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Problem 56204

In a right triangle, one leg is 8 and the hypotenuse is 11. Find the length of the other leg $x$ .

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Problem 56205

Find the general solution for the system represented by the augmented matrix:
$\left[\begin{array}{rrrrrr} 1 & -9 & 0 & -1 & 0 & -8 \\ 0 & 1 & 0 & 0 & -2 & 3 \\ 0 & 0 & 0 & 1 & 7 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 \end{array}\right]$

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Problem 56206

Steve invested \$2500 and earned \$250 at 5% simple interest. How long was his money in the bank? Options: 2, 3, 4, or 5 years.

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Problem 56207

Jenifer's kite string is 19 ft long and she's 12 ft from the tree. Find the ladder length needed to reach the kite: $l = \sqrt{19^2 - 12^2}$ . Enter your answer in radical form.

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Problem 56208

Is it true or false that a matrix can be row reduced to multiple reduced echelon forms? Justify your answer.

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Problem 56209

Is the cost of fabric types proportional? Fabric A: \$31.25 for 5 sq. yd, Fabric B: \$71.50 for 11 sq. yd. Explain.

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Problem 56210

Find the number of nanomoles $(\mathrm{nmol})$ in a 79.0 microgram $(\mu \mathrm{g})$ gold sample. Round to 3 sig figs.

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Problem 56211

Rewrite $x^{2}-8 x-4=0$ as $(x-p)^{2}=q$ .

See Solution

Problem 56212

How much will $\$ 4500$ grow in 5 years at $4\%$ quarterly compounded interest? Options: 5490.86, 5482.79, 5494.48, 5400.00.

See Solution

Problem 56213

How much will \$ 12000 grow after 8 years at 3% monthly compounded interest? Options: \$ 14880.00, \$ 15250.42, \$ 15201.24.

See Solution

Problem 56214

Calculate $-12 + (-2)$ .

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Problem 56215

If a linear system of three equations has a pivot in each column, why does it have a unique solution?

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Problem 56216

Find the APY for an account with a $5\%$ interest rate compounded monthly. Options: $5.12\%$ , $5.08\%$ , $5.21\%$ , $5\%$ .

See Solution

Problem 56217

Find the mass in mg of 892 μmol of silver oxide (Ag₂O) to 3 significant figures in standard notation.

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Problem 56218

Simplify $\frac{\cos ^{2} x-1}{\sin ^{2} x-1}$ . Options: $\sec ^{2} x$ , $\tan ^{2} x$ , $-\sec ^{2} x$ , $-\tan ^{2} x$ .

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Problem 56219

Solve the equation $z^{2}+14z-49=6$ by completing the square. Find the value to add, the equation form, and solutions.

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Problem 56220

Which of these is both a rational number and an integer? $-5, 54.8, -\frac{7}{10}, \sqrt{10}, 11 \frac{4}{9}$

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Problem 56221

Order the numbers -1.85, 1 3/4, and -7/8 from least to greatest.

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Problem 56222

Simplify the expression $\frac{\cos^2 x - 1}{\sin^2 x - 1}$ .

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Problem 56223

Calculate the mass in grams of 1.24 mol of calcium chloride $CaCl_{2}$ , rounding to 3 significant figures.

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Problem 56224

How long will it take for a \$5000 investment at 5.2% simple interest to grow to \$8000? Round to the nearest year.

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Problem 56225

Identify the number that is both an integer and a whole number from: $-67$ , $-57.4$ , 0, $-43.5$ .

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Problem 56226

Define a function $g$ that reflects $f(x)=4-|x+1|$ over the y-axis.

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Problem 56227

Determine the formula for the sequence: 9, 13, 17, 21. Options: $a_{n}=4 n+5$ , $a_{n}=4^{n-1} \cdot 9$ , $a_{n}=4 n+9$ .

See Solution

Problem 56228

Identify the number that is both rational and whole from: $-80, -2 \frac{5}{6}, -66, 193$ .

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Problem 56229

Calculate the molar mass of compound $\mathrm{X}_{2} \mathrm{Yy}$ with $X$ (55.13) and $Yy$ (23.50). Round to 2 decimal places.

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Problem 56230

Solve the equation using the quadratic formula: $3 r^{2}-r-1=0$ . List the solutions, separated by commas. $r=$

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Problem 56231

Solve the system: $3x + 6y = -12$ and $y = -\frac{1}{2}x - 5$ .

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Problem 56232

Order the numbers -0.15, -\frac{1}{4}, and -0.6 from least to greatest.

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Problem 56233

Order the numbers -3.25, -3, and -3.6 from least to greatest.

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Problem 56234

Identify the rational number that is not an integer from these options: $-27$ , 16, $-4.6$ , $-125$ .

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Problem 56235

Geneva needs to save \$12,000. With a \$10,000 bonus at 8% interest, how long to reach her goal? Options: 3.5, 2.5, 3, or 2 years.

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Problem 56236

Calculate the number of molecules in 10.8 g of dry ice, CO $_2$ .

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Problem 56237

Which of the following is both an integer and a whole number? $77 - 105 - 7 \frac{3}{4} \cdot -178$

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Problem 56238

Find fixed points for the Beverton-Holt model: $N_{t+1}=\frac{6 N_{t}}{1+\frac{N_{t}}{50}}$ .

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Problem 56239

Find the moles of carbon in $5 \mathrm{~mol}$ of $\mathrm{CO}_{2}$ .

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Problem 56240

Simplify $\frac{\tan x+\cot x}{\cot x}$ and find if it equals $\tan^2 x$ , $\sec^2 x$ , $-\sec^2 x$ , or $-\tan^2 x$ .

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Problem 56241

Find the number of hydrogen atoms in 1 mole of ammonia, $\mathrm{NH}_{3}$ .

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Problem 56242

Find the number and type of solutions for $5x^{2} + 5x - 2 = 0$ . Options: rational, imaginary, repeated, or irrational.

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Problem 56243

Evaluate when $c=1$ and $d=3$ : $3(2c+d)-4(c-d)+d^{2}=[?]$

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Problem 56244

Determine the relationship between moles of carbon and moles of ethanol, $\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{OH}$ .

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Problem 56245

Explain the connection between moles of carbon and moles of ethanol, $\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{OH}$ .

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Problem 56246

If the discriminant of a quadratic equation is 4, what can you say about its solutions?

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Problem 56247

Find all angles $\theta$ in the range $0^{\circ} \leq \theta < 360^{\circ}$ where $\sin \theta = -1$ .

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Problem 56248

How many moles of carbon are in $5 \mathrm{~mol}$ of $\mathrm{CO}_{2}$ ?

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Problem 56249

Calculate the average slope 'k' from the CO $_2$ and white solid data. Use $k = \frac{\Delta y}{\Delta x}$ .

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Problem 56250

Identify the role of the 2 in front of $\mathrm{H}_{2}$ in the reaction: $2 \mathrm{H}_{2}+\mathrm{O}_{2}->2 \mathrm{H}_{2} \mathrm{O}$ .

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Problem 56251

Simplify $\frac{\tan ^{2} x+1}{1+\cot ^{2} x}$ and identify any errors in the steps shown. What is the correct result?

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Problem 56252

If the discriminant of a quadratic equation is -2, what can you say about the equation's roots?

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Problem 56253

Find the maximum value of the function $y=3 \cos (\pi(x-3)+2)$ in the interval $0<x<2$ .

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Problem 56254

Find fixed points for the Beverton-Holt model: $N_{t+1}=\frac{2 N_{t}}{1+\frac{N}{70}}$ .

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Problem 56255

A chef bought 8 bags of apples for \$33. Each bag has 7 apples. After discarding 2 rotten apples, how many good apples remain?

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Problem 56256

Find a quantity that plus its quarter equals 15. Write the equation: $x + \frac{1}{4}x = 15$ .

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Problem 56257

Find the value of $\sin \frac{\pi}{3}$ .

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Problem 56258

Calculate $6 \div 2(1+2)$ .

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Problem 56259

Find $y$ if $xy=18$ for $x$ values: 1, 2, 3, 6, 9, 18.

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Problem 56260

Calculate the number of atoms in a $0.04545 \mathrm{~mol}$ sample of Cu.

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Problem 56261

Calculate the formula units in $500 \mathrm{g}$ of lead(IV) oxide, $\mathrm{PbO}_{2}$ .

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Problem 56262

Convert $100.0^{\circ} \mathrm{F}$ to degrees Celsius and include the unit symbol in your answer.

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Problem 56263

Find the mass of $24.1 \mathrm{~mol}$ of xenon.

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Problem 56264

Use the Beverton-Holt model $R(N_t)=\frac{R_0}{1+a N_t}$ with $a=0.05$ , $R_0=5$ . Find $N_t$ for $t=1,2,\ldots,5$ and $\lim_{t \to \infty} N_t$ for $N_0=2$ .

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Problem 56265

Which of these is a rational number but not an integer? 134, $-92$ , $-76$ , $3 \frac{1}{6}$ .

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Problem 56266

Find the number of hydrogen atoms in 5 molecules of $C_{6}H_{6}$ .

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Problem 56267

Calculate the calories needed to heat 13 g of alcohol from 11°C to 23°C, given its specific heat is 0.588 cal/g°C.

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Problem 56268

Convert 438 joules to kilocalories. What is the energy in kilocalories with the correct unit symbol?

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Problem 56269

Find the number of oxygen atoms in $5 \mathrm{~mol}$ of $\mathrm{CO}_{2}$ .

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Problem 56270

When 2.0 g of glucose yields $4.0 \mathrm{kcal}$ , how many kJ does it produce? Include the unit symbol in your answer.

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Problem 56271

Given the Beverton-Holt model $R(N_t)=\frac{R_0}{1+a N_t}$ with $a=0.05$ , $R_0=5$ , find $N_t$ for $t=1,2,\ldots,5$ and $\lim_{t \to \infty} N_t$ for $N_0=2$ .

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Problem 56272

Convert 727 joules to calories. What is the energy in calories, including the unit symbol?

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Problem 56273

Calculate the moles in a 50.0 g sample of lead(IV) oxide, $\mathrm{PbO}_{2}$ .

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Problem 56274

Using the Beverton-Holt model $R(N_t)=\frac{R_0}{1+a N_t}$ with $a=0.05$ , $R_0=5$ , find $N_1$ , $N_2$ , ..., $N_5$ for $N_0=2$ and $\lim_{t \to \infty} N_t$ .

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Problem 56275

Calculate the number of atoms in a $44.5 \mathrm{~mol}$ sample of $\mathrm{Ne}$ , using correct sig figs and scientific notation.

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Problem 56276

Rewrite $\frac{8-i}{3-2 i}$ as $a+bi$ and find the value of $a$ (with $i=\sqrt{-1}$ ).

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Problem 56277

Calculate the expression: $[4(7+3)]-5$

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Problem 56278

Rewrite the expression $\frac{8-i}{3-2 i}$ as $a+bi$ . What is the value of $a$ ? A) 2 B) $\frac{8}{3}$ C) 3 D) $\frac{11}{3}$

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Problem 56279

What is the total cost of a tablet costing \$74 if paid with a credit card after the grace period at 16.99% APR? Choose 1 answer: (A) \$74 (B) \$74 + interest (C) \$79

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Problem 56280

Calculate the molar mass of the compound $A X_{2} R_{3}$ using average atomic masses: A=24.27, D=93.94, R=11.01, X=22.05.

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Problem 56281

Calculate the sum of $\frac{7}{12}$ and $\frac{3}{4}$ .

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Problem 56282

Which credit score yields the lowest loan interest rate? Choose one: (A) 350, (B) 825, (C) 900.

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Problem 56283

Evaluate the expression $3(5+4)-3$ .

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Problem 56284

Add the fractions $\frac{5}{14}$ and $\frac{8}{14}$ .

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Problem 56285

You pay your secretary \$ 9.75/hour. An envelope is 90 cents, and paper is 3 cents/page.
(a) Cost for a 3-page letter typed in 2 hours? \ $20.49 (b) Cost formula:$ C = 9.75h + 0.90 + 0.03p$ (c) Cost for a 2-page letter typed in 35 minutes? \$ 1.54

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Problem 56286

Sky wants a credit card for emergencies. Which fee matters most? A) APR $20.99\%$ B) Grace period 30 days C) Annual fee $\$55$

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Problem 56287

Analyze the graph of $R(x)=\frac{8x+8}{9x+27}$ . What is the domain of $R(x)$ ? A. $\{x \mid x \neq 0$ and $x \neq-3\}$ B. $\{x \mid x \neq-3\}$ C. $\{x \mid x \neq 0$ and $x \neq-3$ and $x \neq-1\}$ D. All real numbers

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Problem 56288

How many nanomoles (nmol) are in a 79.8 microgram ( $\mu \mathrm{g}$ ) sample of gold? Answer to 3 sig figs and in standard notation.

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Problem 56289

Calculate the expression: $5[4+3]+10$ .

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Problem 56290

Find the missing number in $9 \times 6 = \square \times (5 + \square)$ and in $7 \times 7 = 7 \times (5 + \square)$ .

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Problem 56291

Calculate $-51 \div 3$ .

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Problem 56292

If Marc serves $\frac{5}{6}$ of a cake, how many servings from 3 cakes? Also, for $\frac{7}{6}$ , how many servings?

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Problem 56293

Which credit card is better for Tya, who pays in full and doesn’t travel? A) APR 14.99%, \$50 fee or B) APR 19.99%, \$0 fee?

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Problem 56294

What term describes paying for an item in full upfront? Choose one: (A) rent-to-own (B) credit card (C) layaway (D) cash

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Problem 56295

What causes diffusion: atomic charge attraction, random motion, solubility, or added heat?

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Problem 56296

Calculate $9(7-5) \div 3$ .

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Problem 56297

Calculate $9(1-5) \div 3$ .

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Problem 56298

Use the Beverton-Holt model $R(N_{t})=\frac{R_{0}}{1+a N_{t}}$ with $a=0.05$ , $R_{0}=5$ . Find $N_{t}$ for $t=1,2,\ldots,5$ and $\lim_{t \to \infty} N_{t}$ for $N_{0}=2$ .

See Solution

Problem 56299

What credit rating corresponds to a score of 780? Options: (A) very good, (B) fair, (C) good.

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Problem 56300

Sarah has coins worth 44 cents and 16 cents. How many nickels can she get by combining them?

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1 ...560 561 562 563 564 565 566 ...661

Math

Problem 56201

Suzie earns \$3,070 weekly. Calculate her yearly Social Security and Medicare deductions, then find state and federal unemployment taxes.

Problem 56202

Compare the sugar concentration of Patrick's solution (33+4\frac{3}{3+4}3+43​) and Thomas's solution (66+7\frac{6}{6+7}6+76​).

Problem 56203

What is the mass in grams of a 67.20 mol sample of iron? Provide your answer to 4 significant figures.

Problem 56204

In a right triangle, one leg is 8 and the hypotenuse is 11. Find the length of the other leg xxx.

Problem 56205

Problem 56206

Steve invested \$2500 and earned \$250 at 5% simple interest. How long was his money in the bank? Options: 2, 3, 4, or 5 years.

Problem 56207

Jenifer's kite string is 19 ft long and she's 12 ft from the tree. Find the ladder length needed to reach the kite: l=192−122l = \sqrt{19^2 - 12^2}l=192−122​. Enter your answer in radical form.

Problem 56208

Is it true or false that a matrix can be row reduced to multiple reduced echelon forms? Justify your answer.

Problem 56209

Is the cost of fabric types proportional? Fabric A: \$31.25 for 5 sq. yd, Fabric B: \$71.50 for 11 sq. yd. Explain.

Problem 56210

Find the number of nanomoles (nmol)(\mathrm{nmol})(nmol) in a 79.0 microgram (μg)(\mu \mathrm{g})(μg) gold sample. Round to 3 sig figs.

Problem 56211

Rewrite x2−8x−4=0x^{2}-8 x-4=0x2−8x−4=0 as (x−p)2=q(x-p)^{2}=q(x−p)2=q.

Problem 56212

How much will $4500\$ 4500$4500 grow in 5 years at 4%4\%4% quarterly compounded interest? Options: 5490.86, 5482.79, 5494.48, 5400.00.

Problem 56213

How much will \$ 12000 grow after 8 years at 3% monthly compounded interest? Options: \$ 14880.00, \$ 15250.42, \$ 15201.24.

Problem 56214

Calculate −12+(−2)-12 + (-2)−12+(−2).

Problem 56215

If a linear system of three equations has a pivot in each column, why does it have a unique solution?

Problem 56216

Find the APY for an account with a 5%5\%5% interest rate compounded monthly. Options: 5.12%5.12\%5.12%, 5.08%5.08\%5.08%, 5.21%5.21\%5.21%, 5%5\%5%.

Problem 56217

Find the mass in mg of 892 μmol of silver oxide (Ag₂O) to 3 significant figures in standard notation.

Problem 56218

Simplify cos⁡2x−1sin⁡2x−1\frac{\cos ^{2} x-1}{\sin ^{2} x-1}sin2x−1cos2x−1​. Options: sec⁡2x\sec ^{2} xsec2x, tan⁡2x\tan ^{2} xtan2x, −sec⁡2x-\sec ^{2} x−sec2x, −tan⁡2x-\tan ^{2} x−tan2x.

Problem 56219

Solve the equation z2+14z−49=6z^{2}+14z-49=6z2+14z−49=6 by completing the square. Find the value to add, the equation form, and solutions.

Problem 56220

Which of these is both a rational number and an integer? −5,54.8,−710,10,1149-5, 54.8, -\frac{7}{10}, \sqrt{10}, 11 \frac{4}{9}−5,54.8,−107​,10​,1194​

Problem 56221

Order the numbers -1.85, 1 3/4, and -7/8 from least to greatest.

Problem 56222

Simplify the expression cos⁡2x−1sin⁡2x−1\frac{\cos^2 x - 1}{\sin^2 x - 1}sin2x−1cos2x−1​.

Problem 56223

Calculate the mass in grams of 1.24 mol of calcium chloride CaCl2CaCl_{2}CaCl2​, rounding to 3 significant figures.

Problem 56224

How long will it take for a \$5000 investment at 5.2% simple interest to grow to \$8000? Round to the nearest year.

Problem 56225

Identify the number that is both an integer and a whole number from: −67-67−67, −57.4-57.4−57.4, 0, −43.5-43.5−43.5.

Problem 56226

Define a function ggg that reflects f(x)=4−∣x+1∣f(x)=4-|x+1|f(x)=4−∣x+1∣ over the y-axis.

Problem 56227

Determine the formula for the sequence: 9, 13, 17, 21. Options: an=4n+5a_{n}=4 n+5an​=4n+5, an=4n−1⋅9a_{n}=4^{n-1} \cdot 9an​=4n−1⋅9, an=4n+9a_{n}=4 n+9an​=4n+9.

Problem 56228

Identify the number that is both rational and whole from: −80,−256,−66,193-80, -2 \frac{5}{6}, -66, 193−80,−265​,−66,193.

Problem 56229

Calculate the molar mass of compound X2Yy\mathrm{X}_{2} \mathrm{Yy}X2​Yy with XXX (55.13) and YyYyYy (23.50). Round to 2 decimal places.

Problem 56230

Solve the equation using the quadratic formula: 3r2−r−1=03 r^{2}-r-1=03r2−r−1=0. List the solutions, separated by commas. r=r=r=

Problem 56231

Solve the system: 3x+6y=−123x + 6y = -123x+6y=−12 and y=−12x−5y = -\frac{1}{2}x - 5y=−21​x−5.

Problem 56232

Order the numbers -0.15, -\frac{1}{4}, and -0.6 from least to greatest.

Problem 56233

Order the numbers -3.25, -3, and -3.6 from least to greatest.

Problem 56234

Identify the rational number that is not an integer from these options: −27-27−27, 16, −4.6-4.6−4.6, −125-125−125.

Problem 56235

Geneva needs to save \$12,000. With a \$10,000 bonus at 8% interest, how long to reach her goal? Options: 3.5, 2.5, 3, or 2 years.

Problem 56236

Calculate the number of molecules in 10.8 g of dry ice, CO2_22​.

Problem 56237

Which of the following is both an integer and a whole number? 77−105−734⋅−178 77 - 105 - 7 \frac{3}{4} \cdot -178 77−105−743​⋅−178

Problem 56238

Find fixed points for the Beverton-Holt model: Nt+1=6Nt1+Nt50N_{t+1}=\frac{6 N_{t}}{1+\frac{N_{t}}{50}}Nt+1​=1+50Nt​​6Nt​​.

Problem 56239

Find the moles of carbon in 5 mol5 \mathrm{~mol}5 mol of CO2\mathrm{CO}_{2}CO2​.

Problem 56240

Simplify tan⁡x+cot⁡xcot⁡x\frac{\tan x+\cot x}{\cot x}cotxtanx+cotx​ and find if it equals tan⁡2x\tan^2 xtan2x, sec⁡2x\sec^2 xsec2x, −sec⁡2x-\sec^2 x−sec2x, or −tan⁡2x-\tan^2 x−tan2x.

Compare the sugar concentration of Patrick's solution ( $\frac{3}{3+4}$ ) and Thomas's solution ( $\frac{6}{6+7}$ ).

In a right triangle, one leg is 8 and the hypotenuse is 11. Find the length of the other leg $x$ .

Jenifer's kite string is 19 ft long and she's 12 ft from the tree. Find the ladder length needed to reach the kite: $l = \sqrt{19^2 - 12^2}$ . Enter your answer in radical form.

Find the number of nanomoles $(\mathrm{nmol})$ in a 79.0 microgram $(\mu \mathrm{g})$ gold sample. Round to 3 sig figs.

Rewrite $x^{2}-8 x-4=0$ as $(x-p)^{2}=q$ .

How much will $\$ 4500$ grow in 5 years at $4\%$ quarterly compounded interest? Options: 5490.86, 5482.79, 5494.48, 5400.00.

Calculate $-12 + (-2)$ .

Find the APY for an account with a $5\%$ interest rate compounded monthly. Options: $5.12\%$ , $5.08\%$ , $5.21\%$ , $5\%$ .

Simplify $\frac{\cos ^{2} x-1}{\sin ^{2} x-1}$ . Options: $\sec ^{2} x$ , $\tan ^{2} x$ , $-\sec ^{2} x$ , $-\tan ^{2} x$ .

Solve the equation $z^{2}+14z-49=6$ by completing the square. Find the value to add, the equation form, and solutions.

Which of these is both a rational number and an integer? $-5, 54.8, -\frac{7}{10}, \sqrt{10}, 11 \frac{4}{9}$

Simplify the expression $\frac{\cos^2 x - 1}{\sin^2 x - 1}$ .

Calculate the mass in grams of 1.24 mol of calcium chloride $CaCl_{2}$ , rounding to 3 significant figures.

Identify the number that is both an integer and a whole number from: $-67$ , $-57.4$ , 0, $-43.5$ .

Define a function $g$ that reflects $f(x)=4-|x+1|$ over the y-axis.

Determine the formula for the sequence: 9, 13, 17, 21. Options: $a_{n}=4 n+5$ , $a_{n}=4^{n-1} \cdot 9$ , $a_{n}=4 n+9$ .

Identify the number that is both rational and whole from: $-80, -2 \frac{5}{6}, -66, 193$ .

Calculate the molar mass of compound $\mathrm{X}_{2} \mathrm{Yy}$ with $X$ (55.13) and $Yy$ (23.50). Round to 2 decimal places.

Solve the equation using the quadratic formula: $3 r^{2}-r-1=0$ . List the solutions, separated by commas. $r=$

Solve the system: $3x + 6y = -12$ and $y = -\frac{1}{2}x - 5$ .

Identify the rational number that is not an integer from these options: $-27$ , 16, $-4.6$ , $-125$ .

Calculate the number of molecules in 10.8 g of dry ice, CO $_2$ .

Which of the following is both an integer and a whole number? $77 - 105 - 7 \frac{3}{4} \cdot -178$

Find fixed points for the Beverton-Holt model: $N_{t+1}=\frac{6 N_{t}}{1+\frac{N_{t}}{50}}$ .

Find the moles of carbon in $5 \mathrm{~mol}$ of $\mathrm{CO}_{2}$ .

Simplify $\frac{\tan x+\cot x}{\cot x}$ and find if it equals $\tan^2 x$ , $\sec^2 x$ , $-\sec^2 x$ , or $-\tan^2 x$ .

Find the number of hydrogen atoms in 1 mole of ammonia, $\mathrm{NH}_{3}$ .

Find the number and type of solutions for $5x^{2} + 5x - 2 = 0$ . Options: rational, imaginary, repeated, or irrational.

Evaluate when $c=1$ and $d=3$ : $3(2c+d)-4(c-d)+d^{2}=[?]$

Determine the relationship between moles of carbon and moles of ethanol, $\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{OH}$ .

Explain the connection between moles of carbon and moles of ethanol, $\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{OH}$ .

Find all angles $\theta$ in the range $0^{\circ} \leq \theta < 360^{\circ}$ where $\sin \theta = -1$ .

How many moles of carbon are in $5 \mathrm{~mol}$ of $\mathrm{CO}_{2}$ ?

Calculate the average slope 'k' from the CO $_2$ and white solid data. Use $k = \frac{\Delta y}{\Delta x}$ .

Identify the role of the 2 in front of $\mathrm{H}_{2}$ in the reaction: $2 \mathrm{H}_{2}+\mathrm{O}_{2}->2 \mathrm{H}_{2} \mathrm{O}$ .

Simplify $\frac{\tan ^{2} x+1}{1+\cot ^{2} x}$ and identify any errors in the steps shown. What is the correct result?

Find the maximum value of the function $y=3 \cos (\pi(x-3)+2)$ in the interval $0<x<2$ .

Find fixed points for the Beverton-Holt model: $N_{t+1}=\frac{2 N_{t}}{1+\frac{N}{70}}$ .

Find a quantity that plus its quarter equals 15. Write the equation: $x + \frac{1}{4}x = 15$ .

Find the value of $\sin \frac{\pi}{3}$ .

Calculate $6 \div 2(1+2)$ .

Find $y$ if $xy=18$ for $x$ values: 1, 2, 3, 6, 9, 18.

Calculate the number of atoms in a $0.04545 \mathrm{~mol}$ sample of Cu.

Calculate the formula units in $500 \mathrm{g}$ of lead(IV) oxide, $\mathrm{PbO}_{2}$ .

Convert $100.0^{\circ} \mathrm{F}$ to degrees Celsius and include the unit symbol in your answer.

Find the mass of $24.1 \mathrm{~mol}$ of xenon.

Use the Beverton-Holt model $R(N_t)=\frac{R_0}{1+a N_t}$ with $a=0.05$ , $R_0=5$ . Find $N_t$ for $t=1,2,\ldots,5$ and $\lim_{t \to \infty} N_t$ for $N_0=2$ .

Which of these is a rational number but not an integer? 134, $-92$ , $-76$ , $3 \frac{1}{6}$ .

Find the number of hydrogen atoms in 5 molecules of $C_{6}H_{6}$ .

Find the number of oxygen atoms in $5 \mathrm{~mol}$ of $\mathrm{CO}_{2}$ .

When 2.0 g of glucose yields $4.0 \mathrm{kcal}$ , how many kJ does it produce? Include the unit symbol in your answer.

Given the Beverton-Holt model $R(N_t)=\frac{R_0}{1+a N_t}$ with $a=0.05$ , $R_0=5$ , find $N_t$ for $t=1,2,\ldots,5$ and $\lim_{t \to \infty} N_t$ for $N_0=2$ .

Calculate the moles in a 50.0 g sample of lead(IV) oxide, $\mathrm{PbO}_{2}$ .

Using the Beverton-Holt model $R(N_t)=\frac{R_0}{1+a N_t}$ with $a=0.05$ , $R_0=5$ , find $N_1$ , $N_2$ , ..., $N_5$ for $N_0=2$ and $\lim_{t \to \infty} N_t$ .