Math

Problem 65301

Calculate $10 \times 5$ .

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Problem 65302

Find the value of $\frac{2 x-2}{3-3 x}$ for $x \neq 1$ . Choose from: a. -1 b. $\frac{2}{3}$ c. $-\frac{2}{3}$ d. $-\frac{2}{3 x}$ .

See Solution

Problem 65303

Find the value of $f(x)$ for the function $f(x)=\frac{1}{2}(5 x-1)$ .

See Solution

Problem 65304

Find the next two numbers in the sequence: $1, 1 \frac{3}{4}, 2 \frac{1}{2}, 3 \frac{1}{4}$ .

See Solution

Problem 65305

Next two numbers in the sequence: $7.5, 8.75, 10, 11.25$ . What are they?

See Solution

Problem 65306

Find the distance from City A to City C, given bearings and travel times. Round to the nearest mile.

See Solution

Problem 65307

Simplify: $\frac{x-3}{3-x}$ for $x \neq 3$ . Choose the correct answer: a. -1, b. $x^{2}+3$ , c. 1, d. -3.

See Solution

Problem 65308

A. Compare the downstream speed of a barge traveling 120 miles in 8 hours to its upstream speed of 100 miles in 10 hours.

See Solution

Problem 65309

Dave cleans pools at 5 pools/hour. What is the ratio of pools to hours?

See Solution

Problem 65310

Round 739.96 to: a) nearest whole number, b) one significant figure, c) one decimal place.

See Solution

Problem 65311

Cari turunan $f^{\prime}(x)$ dari fungsi $f(x)=\sin ^{2} x+\cos 3 x$ .

See Solution

Problem 65312

How many joules are in a bag of chips labeled $245 \mathrm{Cal}$ ?

See Solution

Problem 65313

Calculate $-2 \frac{9}{10} \div \frac{1}{3}$ .

See Solution

Problem 65314

Divide 2 by 315 using long division without decimals: $\frac{2}{315}$ .

See Solution

Problem 65315

Find the height of a stone face on a mountain, given angles of elevation of $28^{\circ}$ and $31^{\circ}$ from 800 feet away.

See Solution

Problem 65316

Calculate $\frac{315}{21}$ .

See Solution

Problem 65317

Find the composition of the functions $f(x)=x^{2}$ and $g(x)=x-3$ : compute $f(g(x))$ .

See Solution

Problem 65318

Add the numbers 456,791 and 265,513.

See Solution

Problem 65319

Multiply $\frac{9}{10}$ by the mixed number $2 \frac{1}{3}$ .

See Solution

Problem 65320

Graph the line for the equation $x - y = 2$ .

See Solution

Problem 65321

Find the derivative of $y=\sin 3x - \cos 3x$ at $x=45^{\circ}$ .

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Problem 65322

Solve these problems: f. $12 \div \frac{7}{8}$ g. $1 \frac{2}{3}+\left(-\frac{2}{5}\right)$ h. $\frac{4}{7}-\left(-\frac{3}{8}\right)$ i. $-4.05+3.18$

See Solution

Problem 65323

Divide 12 by $\frac{7}{8}$ and verify that $\frac{21}{10}=2 \frac{1}{10}$ .

See Solution

Problem 65324

What is the final temperature of a 50.0 g glass piece after absorbing 5275 J of heat, starting at 20.0°C with a specific heat of 0.50 J/g°C?

See Solution

Problem 65325

Find the distance between marinas at $P(4,2)$ and $Q(8,12)$ on a map where 1 unit = 1 km. Choices: A. 14 km B. $2 \sqrt{29}$ km C. 6 km D. $2 \sqrt{5}$ km

See Solution

Problem 65326

Calculate $1 \frac{2}{3} + \left(-\frac{2}{5}\right)$ and $\frac{4}{7} - \left(-\frac{3}{8}\right)$ .

See Solution

Problem 65327

Find the perimeter of trapezoid $ABCD$ with vertices $A(-2,4)$ , $B(2,4)$ , $C(4,-3)$ , and $D(-2,-3)$ .

See Solution

Problem 65328

Find the length $l$ of a rectangle with area $25 \mathrm{in}^2$ and width $w = 10 \mathrm{in}$ . Use $A = l w$ .

See Solution

Problem 65329

Find the specific heat of a $4.11 \mathrm{~g}$ silicon sample that rises by $3.8^{\circ} \mathrm{C}$ with $11.1 \mathrm{~J}$ added.

See Solution

Problem 65330

Find the length $l$ of a rectangle with area $A=25 \mathrm{in}^2$ for widths $w=10$ and $w=15$ inches.

See Solution

Problem 65331

Convert $9.75 \times 10^{5} \mathrm{cal}$ to kJ.

See Solution

Problem 65332

Graph the inequality for elevator speeds outside the range of 116 to 124 feet per minute: $s < 116$ or $s > 124$ .

See Solution

Problem 65333

Divide and simplify: $\frac{3}{7} \div 6 =$

See Solution

Problem 65334

Find the derivative of the function $f(x)=\sqrt{x} \cos^{3} x$ . What is $f^{\prime}(x)$ ?

See Solution

Problem 65335

How many bags of chips provide $14.6 \times 10^{3} \mathrm{~kJ}$ of energy to store $1 \mathrm{lb}$ of body fat?

See Solution

Problem 65336

Graph the inequality for the elevator's speed outside the range of 116 to 124 feet per minute: $x < 116$ or $x > 124$ .

See Solution

Problem 65337

Find point J if D is the midpoint of HJ, with D at $(-3,4)$ and H at $(9,-6)$ . Where is J? A. $(-15,14)$ B. $(21,-16)$ C. $(3,-1)$ D. $(6,-2)$

See Solution

Problem 65338

Find the composition of the functions $f(x)=x^{2}$ and $g(x)=x-3$ : calculate $g(f(x))$ .

See Solution

Problem 65339

Elsa, Chau, and Manuel served 105 orders total. Elsa served 5 more than Chau, and Manuel served 3 times Chau. Find their orders.

See Solution

Problem 65340

Find the length $l$ of a rectangle with area $25 \mathrm{in}^{2}$ for widths $w = 10$ in and $w = 15$ in. Rearrange $A = lw$ .

See Solution

Problem 65341

How many kilojoules of heat energy are absorbed by 0.750 pint of water heated from room temp to boiling?

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Problem 65342

Calculate the perimeter of parallelogram $ABCD$ with vertices $A(1,7)$ , $B(5,4)$ , $C(0,-5)$ , and $D(-4,-2)$ .

See Solution

Problem 65343

Calculate the perimeter of parallelogram $ABCD$ with vertices $A(1,7)$ , $B(5,4)$ , $C(0,-5)$ , and $D(-4,-2)$ .

See Solution

Problem 65344

How many pairs of shoes are in total at both stores if Orem has 8,947 and Provo has 12,783? Calculate: $8,947 + 12,783$ .

See Solution

Problem 65345

A rectangle has area $A = 25 \mathrm{in}^2$ . If $w = 10$ in, find $l$ . If $w = 15$ in, find $l$ . Rearrange $A = lw$ for $l$ .

See Solution

Problem 65346

Find $a, b, c, d$ for $f(x)$ to be continuous, where:
$f(x) = \begin{cases} \frac{x^2+x-2}{x-1} & \text{if } x<1 \\ a & \text{if } x=1 \\ b(x-c)^2 & \text{if } 1<x<4 \\ d & \text{if } x=4 \\ 2x-8 & \text{if } x>4 \end{cases}$

See Solution

Problem 65347

Calculate the heat needed to raise the temperature of an $8.21 \mathrm{~g}$ gold sample by $6.2^{\circ} \mathrm{C}$ with specific heat $0.13 \mathrm{~J} / \mathrm{g}^{\circ} \mathrm{C}$ .

See Solution

Problem 65348

Graph the solution to the inequality $-2 < 2x + 6 < 20$ on a number line.

See Solution

Problem 65349

解不等式 $2x - 6 > -16$ 和 $3x - 10 \leq 8$ 。

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Problem 65350

Zoe and Yolanda's money ratio is $3:7$ . Yolanda has \ $64 more than Zoe. After Yolanda gives$ \frac{1}{4}$ of her money to Zoe, find the new ratio.

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Problem 65351

What is 32,408 in base ten? (A) 32,480 (B) 32,408 (C) 30,248 (D) 30,240

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Problem 65352

How much will the temperature of a 15.4 g silver sample increase if 40.5 J of heat is added? (Specific heat: 0.235 J/g°C)

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Problem 65353

Find the value of $f(7)$ for the function $f(x)=2 x^{2}-6$ .

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Problem 65354

Write a slope-intercept equation for a geoduck's growth from 4 cm at age 10 to 18 cm at age 100.

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Problem 65355

Divide and simplify: $\frac{12}{25} \div 4 =$

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Problem 65356

Graph the solution to the inequality: $5x - 17 > 8$ or $-4x - 2 \leq 6$ .

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Problem 65357

How many more tickets did the Felines sell than the Canines if they sold 6,224 and 4,038 tickets respectively?

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Problem 65358

Find the base $b$ of a triangle when the area $A=100$ and height $h=20$ using $A=\frac{1}{2} b h$ .

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Problem 65359

Cindy paid \$241.80 in extra charges at \$20.15 per pound. How many pounds did her luggage exceed the limit?

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Problem 65360

How many thorium atoms (240 pm radius) fit in a distance of $1.40 \mathrm{~mm}$ ?

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Problem 65361

Divide and simplify: $\frac{2}{9} \div \frac{2}{3} =$

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Problem 65362

Graph the elevations where the service elevator doesn't stop: solve the inequality $4 < \frac{x}{15} < 16$ for $x$ .

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Problem 65363

Alvin rounded 336,457 to 340,000. What place did he round to? (A) Tens (B) Hundreds (C) Thousands (D) Ten thousands

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Problem 65364

Find the base $b$ of a triangle with area $A=100$ and height $h=20$ using the formula $A=\frac{1}{2} b h$ .

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Problem 65365

Divide and simplify: $\frac{8}{15} \div \frac{4}{5} =$

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Problem 65366

Find sums or differences that equal 12,492: $8,572+3,920$ , $7,279+5,203$ , $4,100+8,392$ , $15,728-3,246$ , $19,412-6,920$ .

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Problem 65367

Factor the polynomial $x^{3}+3 x^{2}-4 x-12$ .

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Problem 65368

Calculate the specific heat capacity of $25.0 \mathrm{~g}$ of mercury heated from $25.0^{\circ} \mathrm{C}$ to $155^{\circ} \mathrm{C}$ with 455 J.

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Problem 65369

Calculate the temperature change of a 19.0 g aluminum can when 55 J of heat is added, using specific heat 0.903 J/g°C.

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Problem 65370

Find the derivative of the function $y=\frac{\sin x+\cos x}{x}$ .

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Problem 65371

Find the volume in cubic centimeters $\left(\mathrm{cm}^{3}\right)$ of a single thorium atom, assuming it's a sphere.

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Problem 65372

Divide: $\frac{7}{10} \div \frac{3}{8} =$ in simplest form.

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Problem 65373

Mr. Olson had $16 \mathrm{~L}$ of paint. After using $3 \mathrm{~L} 250 \mathrm{ml}$ and $80\%$ of the rest, how much is left?

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Problem 65374

Divide and simplify: $\frac{1}{3} \div \frac{1}{9} =$

See Solution

Problem 65375

Calculate how many thorium atoms (240 pm radius) are needed to span $1.40 \mathrm{~mm}$ .

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Problem 65376

Find values of $t$ that make the expression $\frac{5 t-2}{3 t-9}$ undefined. List them as $t=$ .

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Problem 65377

Did Lilith walk more steps on Monday than Tuesday? Calculate the difference: $15,258 - 12,474$ . Is 2,784 reasonable?

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Problem 65378

Find the domain restriction for the function $f(x) = \frac{1}{x-3}$ . Explain your reasoning.

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Problem 65379

Graph the solution for the inequality $x \leq -1$ .

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Problem 65380

Simplify the expression: $(-8 u^{4} v - 6 u^{3} v^{3} - 2 v^{3} - 7 u v^{4}) - (-4 u^{3} v^{3} - 8 v^{3} - 4 u v^{4} - 5 u^{4} v) + (3 u v^{4} - 8 u^{3} v^{3} - v^{3} + 4 u^{3} v^{4})$ .

See Solution

Problem 65381

Find the derivative $f^{\prime}(\pi)$ for the function $f(x)=\frac{1}{1+\cos x}$ .

See Solution

Problem 65382

Calculate $3^{2}$ and simplify your answer.

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Problem 65383

Factor the expression $2 x^{3}+6 x^{2}-8 x-24$ .

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Problem 65384

Rewrite the quadratic $x^{2}+8x-3$ in vertex form $y=(x+h)^{2}+k$ by completing the square. Choose a step:
1. $y=x^{2}+8x+8-3-8$
2. $y=x^{2}+8x+8-3+8$
3. $y=x^{2}+8x+16-3-16$
4. $y=x^{2}+8x+16-3+16$

See Solution

Problem 65385

What interval does the inequality $x \leq -1$ represent?

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Problem 65386

Calculate $(-8)^{2}$ . What is the result?

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Problem 65387

A car's tank is $80\%$ full. After using $30\%$ of that fuel, it needs 19 gallons to fill up. Find the tank's full capacity.

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Problem 65388

Simplify the expression: $\sqrt{\frac{7 x^{3}}{3}}$

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Problem 65389

Calculate $(-7)^{2}$ . What is the result?

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Problem 65390

What interval does the inequality $x \geq 5$ represent?

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Problem 65391

A group of hikers descended 1,200 feet in 3 hours. What was the change in elevation per hour? Answer: 400.

See Solution

Problem 65392

Write a cost function for a ski resort that charges \$20 plus \$4.25 per hour. Identify the correct variable.

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Problem 65393

Calculate $\left(\frac{3}{8}\right)^{2}$ .

See Solution

Problem 65394

Choose the correct verbal expression for $4s - 4$ , where $s$ is the side length of a square.

See Solution

Problem 65395

Find the weight of one mole of pennies if a dozen weigh $6.022 \times 10^{23}$ grams.

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Problem 65396

Solve the inequality $-5z + 6 \geq -3z - 4$ and express the solution in interval notation.

See Solution

Problem 65397

Find the linear cost function $C(x)$ given a fixed cost of \$300 and that producing 60 items costs \$3,300.

See Solution

Problem 65398

A scuba diver is at 82 feet deep and descends another 19 feet. What is his new depth as an integer?

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Problem 65399

Find the average cost per item given the cost function $C(x)=18x+1400$ for producing 100 items. What is the average cost?

See Solution

Problem 65400

Simplify $\left(-\frac{1}{2}\right)^{5}=\square$ (What is the result?)

See Solution

1 ...651 652 653 654 655 656 657 ...661

Math

Problem 65301

Calculate 10×510 \times 510×5.

Problem 65302

Find the value of 2x−23−3x\frac{2 x-2}{3-3 x}3−3x2x−2​ for x≠1x \neq 1x=1. Choose from: a. -1 b. 23\frac{2}{3}32​ c. −23-\frac{2}{3}−32​ d. −23x-\frac{2}{3 x}−3x2​.

Problem 65303

Find the value of f(x)f(x)f(x) for the function f(x)=12(5x−1)f(x)=\frac{1}{2}(5 x-1)f(x)=21​(5x−1).

Problem 65304

Find the next two numbers in the sequence: 1,134,212,3141, 1 \frac{3}{4}, 2 \frac{1}{2}, 3 \frac{1}{4}1,143​,221​,341​.

Problem 65305

Next two numbers in the sequence: 7.5,8.75,10,11.257.5, 8.75, 10, 11.257.5,8.75,10,11.25. What are they?

Problem 65306

Find the distance from City A to City C, given bearings and travel times. Round to the nearest mile.

Problem 65307

Simplify: x−33−x\frac{x-3}{3-x}3−xx−3​ for x≠3x \neq 3x=3. Choose the correct answer: a. -1, b. x2+3x^{2}+3x2+3, c. 1, d. -3.

Problem 65308

A. Compare the downstream speed of a barge traveling 120 miles in 8 hours to its upstream speed of 100 miles in 10 hours.

Problem 65309

Dave cleans pools at 5 pools/hour. What is the ratio of pools to hours?

Problem 65310

Round 739.96 to: a) nearest whole number, b) one significant figure, c) one decimal place.

Problem 65311

Cari turunan f′(x)f^{\prime}(x)f′(x) dari fungsi f(x)=sin⁡2x+cos⁡3xf(x)=\sin ^{2} x+\cos 3 xf(x)=sin2x+cos3x.

Problem 65312

How many joules are in a bag of chips labeled 245Cal245 \mathrm{Cal}245Cal?

Problem 65313

Calculate −2910÷13-2 \frac{9}{10} \div \frac{1}{3}−2109​÷31​.

Problem 65314

Divide 2 by 315 using long division without decimals: 2315\frac{2}{315}3152​.

Problem 65315

Find the height of a stone face on a mountain, given angles of elevation of 28∘28^{\circ}28∘ and 31∘31^{\circ}31∘ from 800 feet away.

Problem 65316

Calculate 31521\frac{315}{21}21315​.

Problem 65317

Find the composition of the functions f(x)=x2f(x)=x^{2}f(x)=x2 and g(x)=x−3g(x)=x-3g(x)=x−3: compute f(g(x))f(g(x))f(g(x)).

Problem 65318

Add the numbers 456,791 and 265,513.

Problem 65319

Multiply 910\frac{9}{10}109​ by the mixed number 2132 \frac{1}{3}231​.

Problem 65320

Graph the line for the equation x−y=2x - y = 2x−y=2.

Problem 65321

Find the derivative of y=sin⁡3x−cos⁡3xy=\sin 3x - \cos 3xy=sin3x−cos3x at x=45∘x=45^{\circ}x=45∘.

Problem 65322

Solve these problems: f. 12÷7812 \div \frac{7}{8}12÷87​ g. 123+(−25)1 \frac{2}{3}+\left(-\frac{2}{5}\right)132​+(−52​) h. 47−(−38)\frac{4}{7}-\left(-\frac{3}{8}\right)74​−(−83​) i. −4.05+3.18-4.05+3.18−4.05+3.18

Problem 65323

Divide 12 by 78\frac{7}{8}87​ and verify that 2110=2110\frac{21}{10}=2 \frac{1}{10}1021​=2101​.

Problem 65324

What is the final temperature of a 50.0 g glass piece after absorbing 5275 J of heat, starting at 20.0°C with a specific heat of 0.50 J/g°C?

Problem 65325

Find the distance between marinas at P(4,2)P(4,2)P(4,2) and Q(8,12)Q(8,12)Q(8,12) on a map where 1 unit = 1 km. Choices: A. 14 km B. 2292 \sqrt{29}229​ km C. 6 km D. 252 \sqrt{5}25​ km

Problem 65326

Calculate 123+(−25)1 \frac{2}{3} + \left(-\frac{2}{5}\right)132​+(−52​) and 47−(−38)\frac{4}{7} - \left(-\frac{3}{8}\right)74​−(−83​).

Problem 65327

Find the perimeter of trapezoid ABCDABCDABCD with vertices A(−2,4)A(-2,4)A(−2,4), B(2,4)B(2,4)B(2,4), C(4,−3)C(4,-3)C(4,−3), and D(−2,−3)D(-2,-3)D(−2,−3).

Problem 65328

Find the length lll of a rectangle with area 25in225 \mathrm{in}^225in2 and width w=10inw = 10 \mathrm{in}w=10in. Use A=lwA = l wA=lw.

Problem 65329

Find the specific heat of a 4.11 g4.11 \mathrm{~g}4.11 g silicon sample that rises by 3.8∘C3.8^{\circ} \mathrm{C}3.8∘C with 11.1 J11.1 \mathrm{~J}11.1 J added.

Problem 65330

Find the length lll of a rectangle with area A=25in2A=25 \mathrm{in}^2A=25in2 for widths w=10w=10w=10 and w=15w=15w=15 inches.

Problem 65331

Convert 9.75×105cal9.75 \times 10^{5} \mathrm{cal}9.75×105cal to kJ.

Problem 65332

Graph the inequality for elevator speeds outside the range of 116 to 124 feet per minute: s<116s < 116s<116 or s>124s > 124s>124.

Problem 65333

Divide and simplify: 37÷6=\frac{3}{7} \div 6 =73​÷6=

Problem 65334

Find the derivative of the function f(x)=xcos⁡3xf(x)=\sqrt{x} \cos^{3} xf(x)=x​cos3x. What is f′(x)f^{\prime}(x)f′(x)?

Problem 65335

How many bags of chips provide 14.6×103 kJ14.6 \times 10^{3} \mathrm{~kJ}14.6×103 kJ of energy to store 1lb1 \mathrm{lb}1lb of body fat?

Problem 65336

Graph the inequality for the elevator's speed outside the range of 116 to 124 feet per minute: x<116x < 116x<116 or x>124x > 124x>124.

Problem 65337

Find point J if D is the midpoint of HJ, with D at (−3,4)(-3,4)(−3,4) and H at (9,−6)(9,-6)(9,−6). Where is J? A. (−15,14)(-15,14)(−15,14) B. (21,−16)(21,-16)(21,−16) C. (3,−1)(3,-1)(3,−1) D. (6,−2)(6,-2)(6,−2)

Problem 65338

Find the composition of the functions f(x)=x2f(x)=x^{2}f(x)=x2 and g(x)=x−3g(x)=x-3g(x)=x−3: calculate g(f(x))g(f(x))g(f(x)).

Problem 65339

Elsa, Chau, and Manuel served 105 orders total. Elsa served 5 more than Chau, and Manuel served 3 times Chau. Find their orders.

Problem 65340

Calculate $10 \times 5$ .

Find the value of $\frac{2 x-2}{3-3 x}$ for $x \neq 1$ . Choose from: a. -1 b. $\frac{2}{3}$ c. $-\frac{2}{3}$ d. $-\frac{2}{3 x}$ .

Find the value of $f(x)$ for the function $f(x)=\frac{1}{2}(5 x-1)$ .

Find the next two numbers in the sequence: $1, 1 \frac{3}{4}, 2 \frac{1}{2}, 3 \frac{1}{4}$ .

Next two numbers in the sequence: $7.5, 8.75, 10, 11.25$ . What are they?

Simplify: $\frac{x-3}{3-x}$ for $x \neq 3$ . Choose the correct answer: a. -1, b. $x^{2}+3$ , c. 1, d. -3.

Cari turunan $f^{\prime}(x)$ dari fungsi $f(x)=\sin ^{2} x+\cos 3 x$ .

How many joules are in a bag of chips labeled $245 \mathrm{Cal}$ ?

Calculate $-2 \frac{9}{10} \div \frac{1}{3}$ .

Divide 2 by 315 using long division without decimals: $\frac{2}{315}$ .

Find the height of a stone face on a mountain, given angles of elevation of $28^{\circ}$ and $31^{\circ}$ from 800 feet away.

Calculate $\frac{315}{21}$ .

Find the composition of the functions $f(x)=x^{2}$ and $g(x)=x-3$ : compute $f(g(x))$ .

Multiply $\frac{9}{10}$ by the mixed number $2 \frac{1}{3}$ .

Graph the line for the equation $x - y = 2$ .

Find the derivative of $y=\sin 3x - \cos 3x$ at $x=45^{\circ}$ .

Solve these problems: f. $12 \div \frac{7}{8}$ g. $1 \frac{2}{3}+\left(-\frac{2}{5}\right)$ h. $\frac{4}{7}-\left(-\frac{3}{8}\right)$ i. $-4.05+3.18$

Divide 12 by $\frac{7}{8}$ and verify that $\frac{21}{10}=2 \frac{1}{10}$ .

Find the distance between marinas at $P(4,2)$ and $Q(8,12)$ on a map where 1 unit = 1 km. Choices: A. 14 km B. $2 \sqrt{29}$ km C. 6 km D. $2 \sqrt{5}$ km

Calculate $1 \frac{2}{3} + \left(-\frac{2}{5}\right)$ and $\frac{4}{7} - \left(-\frac{3}{8}\right)$ .

Find the perimeter of trapezoid $ABCD$ with vertices $A(-2,4)$ , $B(2,4)$ , $C(4,-3)$ , and $D(-2,-3)$ .

Find the length $l$ of a rectangle with area $25 \mathrm{in}^2$ and width $w = 10 \mathrm{in}$ . Use $A = l w$ .

Find the specific heat of a $4.11 \mathrm{~g}$ silicon sample that rises by $3.8^{\circ} \mathrm{C}$ with $11.1 \mathrm{~J}$ added.

Find the length $l$ of a rectangle with area $A=25 \mathrm{in}^2$ for widths $w=10$ and $w=15$ inches.

Convert $9.75 \times 10^{5} \mathrm{cal}$ to kJ.

Graph the inequality for elevator speeds outside the range of 116 to 124 feet per minute: $s < 116$ or $s > 124$ .

Divide and simplify: $\frac{3}{7} \div 6 =$

Find the derivative of the function $f(x)=\sqrt{x} \cos^{3} x$ . What is $f^{\prime}(x)$ ?

How many bags of chips provide $14.6 \times 10^{3} \mathrm{~kJ}$ of energy to store $1 \mathrm{lb}$ of body fat?

Graph the inequality for the elevator's speed outside the range of 116 to 124 feet per minute: $x < 116$ or $x > 124$ .

Find point J if D is the midpoint of HJ, with D at $(-3,4)$ and H at $(9,-6)$ . Where is J? A. $(-15,14)$ B. $(21,-16)$ C. $(3,-1)$ D. $(6,-2)$

Find the composition of the functions $f(x)=x^{2}$ and $g(x)=x-3$ : calculate $g(f(x))$ .

Find the length $l$ of a rectangle with area $25 \mathrm{in}^{2}$ for widths $w = 10$ in and $w = 15$ in. Rearrange $A = lw$ .

Calculate the perimeter of parallelogram $ABCD$ with vertices $A(1,7)$ , $B(5,4)$ , $C(0,-5)$ , and $D(-4,-2)$ .

Calculate the perimeter of parallelogram $ABCD$ with vertices $A(1,7)$ , $B(5,4)$ , $C(0,-5)$ , and $D(-4,-2)$ .

How many pairs of shoes are in total at both stores if Orem has 8,947 and Provo has 12,783? Calculate: $8,947 + 12,783$ .

A rectangle has area $A = 25 \mathrm{in}^2$ . If $w = 10$ in, find $l$ . If $w = 15$ in, find $l$ . Rearrange $A = lw$ for $l$ .

Calculate the heat needed to raise the temperature of an $8.21 \mathrm{~g}$ gold sample by $6.2^{\circ} \mathrm{C}$ with specific heat $0.13 \mathrm{~J} / \mathrm{g}^{\circ} \mathrm{C}$ .

Graph the solution to the inequality $-2 < 2x + 6 < 20$ on a number line.

解不等式 $2x - 6 > -16$ 和 $3x - 10 \leq 8$ 。

Zoe and Yolanda's money ratio is $3:7$ . Yolanda has \ $64 more than Zoe. After Yolanda gives$ \frac{1}{4}$ of her money to Zoe, find the new ratio.

Find the value of $f(7)$ for the function $f(x)=2 x^{2}-6$ .

Divide and simplify: $\frac{12}{25} \div 4 =$

Graph the solution to the inequality: $5x - 17 > 8$ or $-4x - 2 \leq 6$ .

Find the base $b$ of a triangle when the area $A=100$ and height $h=20$ using $A=\frac{1}{2} b h$ .

How many thorium atoms (240 pm radius) fit in a distance of $1.40 \mathrm{~mm}$ ?

Divide and simplify: $\frac{2}{9} \div \frac{2}{3} =$

Graph the elevations where the service elevator doesn't stop: solve the inequality $4 < \frac{x}{15} < 16$ for $x$ .

Find the base $b$ of a triangle with area $A=100$ and height $h=20$ using the formula $A=\frac{1}{2} b h$ .

Divide and simplify: $\frac{8}{15} \div \frac{4}{5} =$

Find sums or differences that equal 12,492: $8,572+3,920$ , $7,279+5,203$ , $4,100+8,392$ , $15,728-3,246$ , $19,412-6,920$ .

Factor the polynomial $x^{3}+3 x^{2}-4 x-12$ .

Calculate the specific heat capacity of $25.0 \mathrm{~g}$ of mercury heated from $25.0^{\circ} \mathrm{C}$ to $155^{\circ} \mathrm{C}$ with 455 J.

Find the derivative of the function $y=\frac{\sin x+\cos x}{x}$ .

Find the volume in cubic centimeters $\left(\mathrm{cm}^{3}\right)$ of a single thorium atom, assuming it's a sphere.

Divide: $\frac{7}{10} \div \frac{3}{8} =$ in simplest form.

Mr. Olson had $16 \mathrm{~L}$ of paint. After using $3 \mathrm{~L} 250 \mathrm{ml}$ and $80\%$ of the rest, how much is left?

Divide and simplify: $\frac{1}{3} \div \frac{1}{9} =$