Math

Problem 65301

Calculate $10 \times 5$ .

See Solution

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: $8,572+3,920$ , $7,279+5,203$ , $4,100+8,392$ , $15,728-3,246$ , $19,412-6,920$ .

See Solution

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 $1.40 \mathrm{~mm}$ .

See Solution

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 $f(x)=\frac{1}{1+\cos x}$ .

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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.

See Solution

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?

See Solution

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 ...660

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: $\frac{1}{3} \div \frac{1}{9} =$