Equation

Problem 16301

Graph the equation $y=\frac{3}{4} x+3$ in a rectangular coordinate system.

See Solution

Problem 16302

In triangle, let $m \angle L=(4x-6)^{\circ}$ , $m \angle M=(7x-6)^{\circ}$ , $m \angle N=x^{\circ}$ . Find each angle's measure.

See Solution

Problem 16303

Laura spent $\$ 20 - \$ 9.20$ on ribbon at 24 cents per yard. How many yards did she buy?

See Solution

Problem 16304

In a triangle, if $m \angle A=(x-2)^{\circ}$ , $m \angle B=(x-2)^{\circ}$ , and $m \angle C=(3x+4)^{\circ}$ , find each angle's measure.

See Solution

Problem 16305

Frank paid an \$8 fee plus 6 cents per minute for a total of \$13.04. How many minutes did he ride the scooter?

See Solution

Problem 16306

Ivan rented a truck with a base fee of \$15.95 and \$0.82 per mile. He paid \$199.63. How many miles did he drive?

See Solution

Problem 16307

Karen got a \$80 gift card. After buying coffee at \$7.94 per pound, she had \$32.36 left. How many pounds did she buy?

See Solution

Problem 16308

Derek's house is 40x60 units. He wants to fence a 50x20 unit play area. Cost is \$10 per foot. What's the total cost?

See Solution

Problem 16309

Two trains leave at the same time: one at 60 mph east and the other at 80 mph west. How long until they are 252 miles apart?

See Solution

Problem 16310

Two cars, 380 km apart, meet in 2 hours. One travels 12 km/h slower. Find the slower car's speed.

See Solution

Problem 16311

Two trains leave at the same time, one at 65 mph and the other at 75 mph. How long until they're 224 miles apart?

See Solution

Problem 16312

Find two supplementary angles where the difference is $35^{\circ}$ .

See Solution

Problem 16313

A dishwasher costs \$1.11 more than a microwave. Express this as a fraction and a percent.

See Solution

Problem 16314

Courri's new salary is \$2754 after a 2% raise. What was his salary before the raise? Round to the nearest penny.

See Solution

Problem 16315

A man has stock worth \$2800. It drops by 8% and then gains 8% back. What is the stock's value after two days?

See Solution

Problem 16316

A \$66 restaurant bill with a 20\% tip. What is the total amount to pay, rounded to the nearest dollar?

See Solution

Problem 16317

The area between $y=\sin (x)$ and the $x$ -axis from $x=-\pi$ to $x=\pi$ is given by $\int_{-\pi}^{\pi} \sin (x) dx$ . True or False?

See Solution

Problem 16318

False. The solutions to the differential equation $\frac{d y}{d x}=y^{2}-4 y$ include other values.

See Solution

Problem 16319

Joyce paid \$49.50 for an item that was 45% off. Find the original price.

See Solution

Problem 16320

Pedro's monthly salary is now \$1919 after a 1% raise. What was his salary before the raise?

See Solution

Problem 16321

Determine the slope and $y$ -intercept of the line given by $y=-8 x-11$ . What is the slope?

See Solution

Problem 16322

Verify if $\int \frac{1}{1+x^{2}} \, dx = \tan^{-1}(x) + C$ and show the proof step by step.

See Solution

Problem 16323

Is it true or false that $\int_{1}^{x^{2}} \ln(1+t^{2}) dt = \int_{1}^{x} 2t \ln(1+t^{4}) dt$ ?

See Solution

Problem 16324

Find the value of $K$ in the solution $y(t)=\frac{K}{1+A e^{-r t}}$ for the IVP $\frac{d y}{d t}=3 y(1-\frac{y}{12})$ , $y(0)=2$ .

See Solution

Problem 16325

Solve the initial value problem: $\frac{d y}{d t}=3 y\left(1-\frac{y}{12}\right)$ , $y(0)=2$ . Find $y(t)$ .

See Solution

Problem 16326

Calculate the work done by the force $F(x)=2 x^{-2}+4 x$ from $x=1$ to $x=2$ : evaluate $\int_{1}^{2}\left(2 x^{-2}+4 x\right) d x$ . Provide the answer to three decimal places.

See Solution

Problem 16327

Calculate the average of the numbers 5.34, 5.31, 5.30, 5.31, and 5.25. What is $\bar{X} = \frac{5.34+5.31+5.30+5.31+5.25}{5}$ ?

See Solution

Problem 16328

Solve for $x$ in the equation $F(12) = 2x + 4$ .

See Solution

Problem 16329

Solve for $x$ in the equation $\ln _{2}(x+1)-\ln _{2}(x-1)=\ln _{2} 8$ .

See Solution

Problem 16330

Write an equation for how a neutral aluminum atom forms an aluminum ion, using $e^{-}$ for electrons.

See Solution

Problem 16331

Find the range (5.34 - 5.25) and the coefficient of variation: $CV = \left(\frac{0.0327}{5.302}\right) 100 \%$ . Round to four decimals.

See Solution

Problem 16332

Does the integral $\int_{0}^{3} \frac{1}{x} dx$ converge or diverge?

See Solution

Problem 16333

Determine if the integral $\int_{-1}^{4} \frac{1}{x^{2 / 3}} d x$ converges or diverges.

See Solution

Problem 16334

Find the mean of the five-year CDs: $\bar{X} = \frac{5.95 + 5.90 + 5.84 + 5.83 + 5.78}{5} = \square$ (Type an integer or decimal.)

See Solution

Problem 16335

Calculate the moles of $S$ in a sample with $1.41 \times 10^{24}$ atoms.

See Solution

Problem 16336

What are the odds of a perfect bracket if a user predicts $66.7\%$ of games correctly? A. 1 in 120.2 billion B. 1 in 66.7 C. 1 in 1,202 D. 1 in 120

See Solution

Problem 16337

Find the empirical formula of a metal sulfide formed from 8.741 g of iron and 13.76 g of product mass.

See Solution

Problem 16338

Which has more atoms: a Co sample with $4.46 \times 10^{24}$ atoms or a 9.04 mole sample of Rb?

See Solution

Problem 16339

Calculate moles of water needed for $0.065 \mathrm{~mol}$ of glucose $\left(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}\right)$ .

See Solution

Problem 16340

Determine the empirical formula of a metal sulfide formed from 8.741 g of iron and 13.76 g of sulfide. Enter as Fe, S.

See Solution

Problem 16341

Calculate the dihydrogen production rate in kg/s from 133 L/s of methane at 249 °C and 0.68 atm. Round to 2 sig. digits.

See Solution

Problem 16342

A 7.021 g sample of manganese reacts with excess chlorine to form a 16.08 g metal chloride. Find the empirical formula: $\mathrm{Mn}, \mathrm{Cl}$ .

See Solution

Problem 16343

A 48.71 g iron sample reacts with sulfur to form a 90.67 g metal sulfide. Find the empirical formula (Fe, S).

See Solution

Problem 16344

A compound has 50.05% sulfur and 49.95% oxygen by mass. Find the empirical and molecular formulas. Molecular weight is 64.07 amu.

See Solution

Problem 16345

Find the empirical formula and molecular formula for a compound with 7.522% phosphorus and 92.47% iodine, given molecular weight 411.7 amu.

See Solution

Problem 16346

A plant makes 50 clubs for \ $4863 and 70 clubs for \$6163. Find cost function$ \mathrm{C}(x) $and graph it for$ 0 \leq x \leq 200$. Interpret slope and intercept.

See Solution

Problem 16347

A truck travels 50 mph. At 6:00 A.M., a car leaves 30 mins later. It catches the truck at 8:00 A.M. Find the car's speed in mph.

See Solution

Problem 16348

Find the molecular formula of $\mathrm{PNBr}_{2}$ with a molecular weight of 204.8 amu using atomic masses of P, N, Br.

See Solution

Problem 16349

Find the value of $y(1)$ for the initial value problem $\frac{d y}{d x}=\frac{\ln (x)}{x}$ with $y(e)=3$ .

See Solution

Problem 16350

Solve for the number where $4x + 6 = x - 9$ .

See Solution

Problem 16351

1 km = ? m

See Solution

Problem 16352

Harry drove from 23,499.7 miles to 23,847.9 miles using 15.9 gallons. Calculate his miles per gallon (round to nearest tenth).

See Solution

Problem 16353

How many tablets are needed if a patient takes 2 tablets every 6 hours for 7 days? Express your answer as a whole number.

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Problem 16354

Find the constant $x$ in the equation $H=x \frac{v}{A}$ from $v=\frac{7}{4} A H$ .

See Solution

Problem 16355

Given that $f(x)$ is said to be nonnegative but has negative values in the table, clarify this. Find $y(4)$ from $\frac{d y}{d x}=y^{2} f^{\prime}(x), \quad y(3)=1$ .

See Solution

Problem 16356

If $x = 5$ , find the value of $6x$ , $5x$ , $30x$ , and $R^{30}$ .

See Solution

Problem 16357

Find the slope and y-intercept for each line: 39. $y=2x+1$ , 40. $y=3x+2$ , 41. $f(x)=-2x+1$ , 42. $f(x)=-3x+2$ , 43. $f(x)=\frac{3}{4}x-2$ , 44. $f(x)=\frac{3}{4}x-3$ , 45. $y=-\frac{3}{5}x+7$ , 46. $y=-\frac{2}{5}x+6$ , 47. $g(x)=-\frac{1}{2}x$ , 48. $g(x)=-\frac{1}{3}x$ . Graph each function.

See Solution

Problem 16358

Find the selling price of a couch bought for \$113.00 with a 45% markup. What is the price?

See Solution

Problem 16359

What price should Jessica's Furniture Store sell a couch bought for \$113.00 with a 45% markup?

See Solution

Problem 16360

Calculate the sales tax on an item costing \ $3 with a tax rate of$ 4.4\%$. Round to the nearest cent.

See Solution

Problem 16361

Corey bought $2 \frac{1}{2}$ liters of paint for \$60. Find the cost per liter.

See Solution

Problem 16362

Find where the lines $y = x - 3$ and $y = 3x^2$ intersect.

See Solution

Problem 16363

Rewrite the equations in slope-intercept form, find the slope and y-intercept, and graph them. 59. $3x + y - 5 = 0$ 60. $4x + y - 6 = 0$ 61. $2x + 3y - 18 = 0$ 62. $4x + 6y + 12 = 0$

See Solution

Problem 16364

Casey pays $\$ 0.72$ in sales tax at $6\%$ . What was the original price of the bracelet before tax?

See Solution

Problem 16365

Compare the weights of a Supreme box ( $2 \frac{2}{9}$ lbs nuts, $3 \frac{2}{3}$ lbs candy) and a Deluxe box ( $2 \frac{2}{27}$ lbs nuts, $3 \frac{1}{9}$ lbs candy). Which is heavier and by how much?

See Solution

Problem 16366

Haruka hiked 6 km in the afternoon, which is $25\%$ less than in the morning. How many km did she hike total?

See Solution

Problem 16367

A sunscreen has $2.45\%$ benzyl salicylate. For 390 tubes of $3.0\ z$ , how many kg of benzyl salicylate is needed?

See Solution

Problem 16368

Calculate the density of an ebony carving with mass $246 \, \text{g}$ and volume $207 \, \text{cm}^3$ using the formula $\text{density} = \frac{\text{mass}}{\text{volume}}$ .

See Solution

Problem 16369

Find the value of $x$ in $g = x \sqrt{p}$ if $p = \frac{2 g^{2}}{50}$ .

See Solution

Problem 16370

1. Francine types 3600 words/hour. How many words in 3 minutes?
$\frac{3600 \text{ words}}{60 \text{ mins}}=\frac{x}{3 \text{ min}} \Rightarrow x=180$
2. If $\frac{3}{4}$ of Silver Fitness members are female, find the female to male ratio.

See Solution

Problem 16371

Solve the equation $-0.0015 x^{2} + x + 2 = 0$ for $x$ .

See Solution

Problem 16372

Solve the equation $-0.0015 x^{2} + x + 2 = 0$ .

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Problem 16373

How many grams of fluorine ( $\mathrm{F}_{2}$ ) are needed for 3.25 moles of carbon tetrafluoride ( $\mathrm{CF}_{4}$ )? Molar mass of $\mathrm{F}_{2}$ is 38.00 g/mol. [?] g $\mathrm{F}_{2}$

See Solution

Problem 16374

Nathan eats 27 pretzels in 3 minutes. How long for 378 pretzels? Also, what's the ratio of right-handed to left-handed players in Matt's club?

See Solution

Problem 16375

Find $y$ for the line through points $(3, y)$ and $(1, 4)$ with slope $m = -3$ .

See Solution

Problem 16376

Calculate the time for the concentration of $\mathrm{NH}_{3}$ (0.410 M) to decrease by 76% with a rate constant of $0.0242 \mathrm{~s}^{-1}$ . Round to 2 significant digits.

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Problem 16377

If 5 reserved seats sold correspond to 4 general admission seats, and 27,360 total seats were sold, how many general admission seats?

See Solution

Problem 16378

If 1585 plasma TVs are sold and the ratio of flatscreen to plasma TVs is 3:5, how many flatscreen TVs were sold?

See Solution

Problem 16379

Find the $y$ -intercept of the line with point $(2,-6)$ and slope $-\frac{3}{2}$ .

See Solution

Problem 16380

The baker uses a pan of $1 \frac{5}{8} \mathrm{ft}^{2}$ for 26 rolls. Find the area per roll. Show your work.

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Problem 16381

Solve the equation $x^{2}+4x-5=-x+1$ .

See Solution

Problem 16382

What is the probability $\mathrm{P}$ of selecting a card that is not a birthday card from 21 total cards, 14 of which are birthday cards? Round to 2 decimal places.

See Solution

Problem 16383

Joey has 30 pages to read. He will take a break after reading $70\%$ of them. How many pages is that?

See Solution

Problem 16384

Calculate the density of a liquid in \$Lbs/in^{3}\$ given its mass and volume. Also, find the volume of 150 lbs of MgCl$_2 \cdot 6$H$_2$O.

See Solution

Problem 16385

Does the equation $x = y^{2} + 15$ define $y$ as a function of $x$ ? Choose A, B, C, or D.

See Solution

Problem 16386

Solve the equation $2 x^{2}-x-1=2 x+1$ .

See Solution

Problem 16387

Find moles of $\mathrm{Cl}$ in $3.01 \times 10^{24}$ units of $\mathrm{MgCl}_{2}$ . Answer in moles.

See Solution

Problem 16388

If $40\%$ of $a$ equals $80\%$ of $b$ , find what percent of $b$ is $a$ . A) $20\%$ B) $50\%$ C) $100\%$

See Solution

Problem 16389

A 170-pound tennis player burns 8.6 calories/min. How many calories burned in 4 hours?

See Solution

Problem 16390

A propane sample, $\mathrm{C}_{3} \mathrm{H}_{8}$ , has 16.6 moles of carbon. Find total moles of atoms in the sample.

See Solution

Problem 16391

Find the grams of iron in 150.9 g of an alloy that is $75.0\%$ iron.

See Solution

Problem 16392

What is the percent of fat in a hamburger sample with a total mass of $200 \mathrm{~g}$ and $30.0 \mathrm{~g}$ of fat?

See Solution

Problem 16393

Nick paid \ $68.25 for a coat with a$ 5\%$ sales tax. What was the original price before tax?

See Solution

Problem 16394

A soccer team won $45\%$ , lost $40\%$ , and tied 3 times. Find the total number of games played.

See Solution

Problem 16395

If $5.00 \mathrm{lb}$ of potatoes is \$3.60, what is the cost for 1.30 kg of potatoes?

See Solution

Problem 16396

Infuse $3,000 \mathrm{~mL}$ IV fluid in 24 hours (15 gtt/mL). Administer $500 \mathrm{mg}$ ampicillin in $100 \mathrm{~mL}$ NS over 30 min (10 gtt/mL).

See Solution

Problem 16397

Celeste read $x$ books. One-third of $x$ plus 4 equals 8. Find $x$ .

See Solution

Problem 16398

A soccer team won 45%, lost 40%, and tied 3 times. How many total games did it play? A) 8 B) 9 C) 17 D) 20

See Solution

Problem 16399

Find the mass of a $73.6 \mathrm{yd}$ long, $13 \mathrm{in}$ . wide, and $0.00040 \mathrm{in}$ . thick aluminum foil. Density is $2.70 \mathrm{~g} / \mathrm{cm}^{3}$ . Round to two significant figures.

See Solution

Problem 16400

Find the mass of lead if its density is $11.3 \mathrm{~g} / \mathrm{mL}$ and the water level rises from $206 \mathrm{~mL}$ to $281 \mathrm{~mL}$ .

See Solution

1 ...161 162 163 164 165 166 167 ...188

Equation

Problem 16301

Graph the equation y=34x+3y=\frac{3}{4} x+3y=43​x+3 in a rectangular coordinate system.

Problem 16302

In triangle, let m∠L=(4x−6)∘m \angle L=(4x-6)^{\circ}m∠L=(4x−6)∘, m∠M=(7x−6)∘m \angle M=(7x-6)^{\circ}m∠M=(7x−6)∘, m∠N=x∘m \angle N=x^{\circ}m∠N=x∘. Find each angle's measure.

Problem 16303

Laura spent $20−$9.20\$ 20 - \$ 9.20$20−$9.20 on ribbon at 24 cents per yard. How many yards did she buy?

Problem 16304

In a triangle, if m∠A=(x−2)∘m \angle A=(x-2)^{\circ}m∠A=(x−2)∘, m∠B=(x−2)∘m \angle B=(x-2)^{\circ}m∠B=(x−2)∘, and m∠C=(3x+4)∘m \angle C=(3x+4)^{\circ}m∠C=(3x+4)∘, find each angle's measure.

Problem 16305

Frank paid an \$8 fee plus 6 cents per minute for a total of \$13.04. How many minutes did he ride the scooter?

Problem 16306

Ivan rented a truck with a base fee of \$15.95 and \$0.82 per mile. He paid \$199.63. How many miles did he drive?

Problem 16307

Karen got a \$80 gift card. After buying coffee at \$7.94 per pound, she had \$32.36 left. How many pounds did she buy?

Problem 16308

Derek's house is 40x60 units. He wants to fence a 50x20 unit play area. Cost is \$10 per foot. What's the total cost?

Problem 16309

Two trains leave at the same time: one at 60 mph east and the other at 80 mph west. How long until they are 252 miles apart?

Problem 16310

Two cars, 380 km apart, meet in 2 hours. One travels 12 km/h slower. Find the slower car's speed.

Problem 16311

Two trains leave at the same time, one at 65 mph and the other at 75 mph. How long until they're 224 miles apart?

Problem 16312

Find two supplementary angles where the difference is 35∘35^{\circ}35∘.

Problem 16313

A dishwasher costs \$1.11 more than a microwave. Express this as a fraction and a percent.

Problem 16314

Courri's new salary is \$2754 after a 2% raise. What was his salary before the raise? Round to the nearest penny.

Problem 16315

A man has stock worth \$2800. It drops by 8% and then gains 8% back. What is the stock's value after two days?

Problem 16316

A \$66 restaurant bill with a 20\% tip. What is the total amount to pay, rounded to the nearest dollar?

Problem 16317

The area between y=sin⁡(x)y=\sin (x)y=sin(x) and the xxx-axis from x=−πx=-\pix=−π to x=πx=\pix=π is given by ∫−ππsin⁡(x)dx\int_{-\pi}^{\pi} \sin (x) dx∫−ππ​sin(x)dx. True or False?

Problem 16318

False. The solutions to the differential equation dydx=y2−4y\frac{d y}{d x}=y^{2}-4 ydxdy​=y2−4y include other values.

Problem 16319

Joyce paid \$49.50 for an item that was 45% off. Find the original price.

Problem 16320

Pedro's monthly salary is now \$1919 after a 1% raise. What was his salary before the raise?

Problem 16321

Determine the slope and yyy-intercept of the line given by y=−8x−11y=-8 x-11y=−8x−11. What is the slope?

Problem 16322

Verify if ∫11+x2 dx=tan⁡−1(x)+C\int \frac{1}{1+x^{2}} \, dx = \tan^{-1}(x) + C∫1+x21​dx=tan−1(x)+C and show the proof step by step.

Problem 16323

Is it true or false that ∫1x2ln⁡(1+t2)dt=∫1x2tln⁡(1+t4)dt\int_{1}^{x^{2}} \ln(1+t^{2}) dt = \int_{1}^{x} 2t \ln(1+t^{4}) dt∫1x2​ln(1+t2)dt=∫1x​2tln(1+t4)dt?

Problem 16324

Find the value of KKK in the solution y(t)=K1+Ae−rty(t)=\frac{K}{1+A e^{-r t}}y(t)=1+Ae−rtK​ for the IVP dydt=3y(1−y12)\frac{d y}{d t}=3 y(1-\frac{y}{12})dtdy​=3y(1−12y​), y(0)=2y(0)=2y(0)=2.

Problem 16325

Solve the initial value problem: dydt=3y(1−y12)\frac{d y}{d t}=3 y\left(1-\frac{y}{12}\right)dtdy​=3y(1−12y​), y(0)=2y(0)=2y(0)=2. Find y(t)y(t)y(t).

Problem 16326

Calculate the work done by the force F(x)=2x−2+4xF(x)=2 x^{-2}+4 xF(x)=2x−2+4x from x=1x=1x=1 to x=2x=2x=2: evaluate ∫12(2x−2+4x)dx\int_{1}^{2}\left(2 x^{-2}+4 x\right) d x∫12​(2x−2+4x)dx. Provide the answer to three decimal places.

Problem 16327

Calculate the average of the numbers 5.34, 5.31, 5.30, 5.31, and 5.25. What is Xˉ=5.34+5.31+5.30+5.31+5.255\bar{X} = \frac{5.34+5.31+5.30+5.31+5.25}{5}Xˉ=55.34+5.31+5.30+5.31+5.25​?

Problem 16328

Solve for xxx in the equation F(12)=2x+4F(12) = 2x + 4F(12)=2x+4.

Problem 16329

Solve for xxx in the equation ln⁡2(x+1)−ln⁡2(x−1)=ln⁡28\ln _{2}(x+1)-\ln _{2}(x-1)=\ln _{2} 8ln2​(x+1)−ln2​(x−1)=ln2​8.

Problem 16330

Write an equation for how a neutral aluminum atom forms an aluminum ion, using e−e^{-}e− for electrons.

Problem 16331

Find the range (5.34 - 5.25) and the coefficient of variation: CV=(0.03275.302)100%CV = \left(\frac{0.0327}{5.302}\right) 100 \%CV=(5.3020.0327​)100%. Round to four decimals.

Problem 16332

Does the integral ∫031xdx\int_{0}^{3} \frac{1}{x} dx∫03​x1​dx converge or diverge?

Problem 16333

Determine if the integral ∫−141x2/3dx\int_{-1}^{4} \frac{1}{x^{2 / 3}} d x∫−14​x2/31​dx converges or diverges.

Problem 16334

Find the mean of the five-year CDs: Xˉ=5.95+5.90+5.84+5.83+5.785=□\bar{X} = \frac{5.95 + 5.90 + 5.84 + 5.83 + 5.78}{5} = \squareXˉ=55.95+5.90+5.84+5.83+5.78​=□ (Type an integer or decimal.)

Problem 16335

Calculate the moles of SSS in a sample with 1.41×10241.41 \times 10^{24}1.41×1024 atoms.

Problem 16336

What are the odds of a perfect bracket if a user predicts 66.7%66.7\%66.7% of games correctly? A. 1 in 120.2 billion B. 1 in 66.7 C. 1 in 1,202 D. 1 in 120

Problem 16337

Find the empirical formula of a metal sulfide formed from 8.741 g of iron and 13.76 g of product mass.

Problem 16338

Which has more atoms: a Co sample with 4.46×10244.46 \times 10^{24}4.46×1024 atoms or a 9.04 mole sample of Rb?

Problem 16339

Calculate moles of water needed for 0.065 mol0.065 \mathrm{~mol}0.065 mol of glucose (C6H12O6)\left(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}\right)(C6​H12​O6​).

Problem 16340

Graph the equation $y=\frac{3}{4} x+3$ in a rectangular coordinate system.

In triangle, let $m \angle L=(4x-6)^{\circ}$ , $m \angle M=(7x-6)^{\circ}$ , $m \angle N=x^{\circ}$ . Find each angle's measure.

Laura spent $\$ 20 - \$ 9.20$ on ribbon at 24 cents per yard. How many yards did she buy?

In a triangle, if $m \angle A=(x-2)^{\circ}$ , $m \angle B=(x-2)^{\circ}$ , and $m \angle C=(3x+4)^{\circ}$ , find each angle's measure.

Find two supplementary angles where the difference is $35^{\circ}$ .

The area between $y=\sin (x)$ and the $x$ -axis from $x=-\pi$ to $x=\pi$ is given by $\int_{-\pi}^{\pi} \sin (x) dx$ . True or False?

False. The solutions to the differential equation $\frac{d y}{d x}=y^{2}-4 y$ include other values.

Determine the slope and $y$ -intercept of the line given by $y=-8 x-11$ . What is the slope?

Verify if $\int \frac{1}{1+x^{2}} \, dx = \tan^{-1}(x) + C$ and show the proof step by step.

Is it true or false that $\int_{1}^{x^{2}} \ln(1+t^{2}) dt = \int_{1}^{x} 2t \ln(1+t^{4}) dt$ ?

Find the value of $K$ in the solution $y(t)=\frac{K}{1+A e^{-r t}}$ for the IVP $\frac{d y}{d t}=3 y(1-\frac{y}{12})$ , $y(0)=2$ .

Solve the initial value problem: $\frac{d y}{d t}=3 y\left(1-\frac{y}{12}\right)$ , $y(0)=2$ . Find $y(t)$ .

Calculate the work done by the force $F(x)=2 x^{-2}+4 x$ from $x=1$ to $x=2$ : evaluate $\int_{1}^{2}\left(2 x^{-2}+4 x\right) d x$ . Provide the answer to three decimal places.

Calculate the average of the numbers 5.34, 5.31, 5.30, 5.31, and 5.25. What is $\bar{X} = \frac{5.34+5.31+5.30+5.31+5.25}{5}$ ?

Solve for $x$ in the equation $F(12) = 2x + 4$ .

Solve for $x$ in the equation $\ln _{2}(x+1)-\ln _{2}(x-1)=\ln _{2} 8$ .

Write an equation for how a neutral aluminum atom forms an aluminum ion, using $e^{-}$ for electrons.

Find the range (5.34 - 5.25) and the coefficient of variation: $CV = \left(\frac{0.0327}{5.302}\right) 100 \%$ . Round to four decimals.

Does the integral $\int_{0}^{3} \frac{1}{x} dx$ converge or diverge?

Determine if the integral $\int_{-1}^{4} \frac{1}{x^{2 / 3}} d x$ converges or diverges.

Find the mean of the five-year CDs: $\bar{X} = \frac{5.95 + 5.90 + 5.84 + 5.83 + 5.78}{5} = \square$ (Type an integer or decimal.)

Calculate the moles of $S$ in a sample with $1.41 \times 10^{24}$ atoms.

What are the odds of a perfect bracket if a user predicts $66.7\%$ of games correctly? A. 1 in 120.2 billion B. 1 in 66.7 C. 1 in 1,202 D. 1 in 120

Which has more atoms: a Co sample with $4.46 \times 10^{24}$ atoms or a 9.04 mole sample of Rb?

Calculate moles of water needed for $0.065 \mathrm{~mol}$ of glucose $\left(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}\right)$ .

A 7.021 g sample of manganese reacts with excess chlorine to form a 16.08 g metal chloride. Find the empirical formula: $\mathrm{Mn}, \mathrm{Cl}$ .

A plant makes 50 clubs for \ $4863 and 70 clubs for \$6163. Find cost function$ \mathrm{C}(x) $and graph it for$ 0 \leq x \leq 200$. Interpret slope and intercept.

Find the molecular formula of $\mathrm{PNBr}_{2}$ with a molecular weight of 204.8 amu using atomic masses of P, N, Br.

Find the value of $y(1)$ for the initial value problem $\frac{d y}{d x}=\frac{\ln (x)}{x}$ with $y(e)=3$ .

Solve for the number where $4x + 6 = x - 9$ .

Find the constant $x$ in the equation $H=x \frac{v}{A}$ from $v=\frac{7}{4} A H$ .

Given that $f(x)$ is said to be nonnegative but has negative values in the table, clarify this. Find $y(4)$ from $\frac{d y}{d x}=y^{2} f^{\prime}(x), \quad y(3)=1$ .

If $x = 5$ , find the value of $6x$ , $5x$ , $30x$ , and $R^{30}$ .

Calculate the sales tax on an item costing \ $3 with a tax rate of$ 4.4\%$. Round to the nearest cent.

Corey bought $2 \frac{1}{2}$ liters of paint for \$60. Find the cost per liter.

Find where the lines $y = x - 3$ and $y = 3x^2$ intersect.

Rewrite the equations in slope-intercept form, find the slope and y-intercept, and graph them. 59. $3x + y - 5 = 0$ 60. $4x + y - 6 = 0$ 61. $2x + 3y - 18 = 0$ 62. $4x + 6y + 12 = 0$

Casey pays $\$ 0.72$ in sales tax at $6\%$ . What was the original price of the bracelet before tax?

Compare the weights of a Supreme box ( $2 \frac{2}{9}$ lbs nuts, $3 \frac{2}{3}$ lbs candy) and a Deluxe box ( $2 \frac{2}{27}$ lbs nuts, $3 \frac{1}{9}$ lbs candy). Which is heavier and by how much?

Haruka hiked 6 km in the afternoon, which is $25\%$ less than in the morning. How many km did she hike total?

A sunscreen has $2.45\%$ benzyl salicylate. For 390 tubes of $3.0\ z$ , how many kg of benzyl salicylate is needed?

Calculate the density of an ebony carving with mass $246 \, \text{g}$ and volume $207 \, \text{cm}^3$ using the formula $\text{density} = \frac{\text{mass}}{\text{volume}}$ .

Find the value of $x$ in $g = x \sqrt{p}$ if $p = \frac{2 g^{2}}{50}$ .

Solve the equation $-0.0015 x^{2} + x + 2 = 0$ for $x$ .

Solve the equation $-0.0015 x^{2} + x + 2 = 0$ .

How many grams of fluorine ( $\mathrm{F}_{2}$ ) are needed for 3.25 moles of carbon tetrafluoride ( $\mathrm{CF}_{4}$ )? Molar mass of $\mathrm{F}_{2}$ is 38.00 g/mol. [?] g $\mathrm{F}_{2}$