Math

Problem 65401

Find the value of the variable var after executing: var = 100; var = var + 100; var = var + var.

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Problem 65402

Determine the slope, $m$ , of the tangent line to the curve $y=7+5 x^{2}-2 x^{3}$ at $x=a$ .

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Problem 65403

Decompose the function $1+x \cos (x)$ into its even and odd parts.

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Problem 65404

Calculate the value of $4 + 8 \cdot 4$ . What is the result?

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Problem 65405

Decompose $\sin^{2}(y) - 8y^{4}\sin(y)$ into even and odd functions.

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Problem 65406

Find the linear depreciation function for a car priced at \$25,250, expected to be worth \$14,234 in 4 years. Also, estimate its value in 6 years and find the depreciation rate.

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Problem 65407

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Problem 65408

The temperature starts at $-14^{\circ} \mathrm{C}$ and drops $5^{\circ} \mathrm{C}$ , $3^{\circ} \mathrm{C}$ , and $1^{\circ} \mathrm{C}$ . What's the final temperature?

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Problem 65409

Evaluate: $-8 + 2 \cdot 5^{2} - 7 =$

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Problem 65410

Miguel borrowed \$500 at 6.5\% simple interest for 6 months. What is the interest amount?

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Problem 65411

Simplify: $6 \cdot 4 + 8 \cdot 6 =$

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Problem 65412

Calculate the specific heat of a liquid given that $47.1 \mathrm{~J}$ raises $13.8 \mathrm{~g}$ by $1.79^{\circ} \mathrm{C}$ .

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Problem 65413

Find the percentage equivalent of $\frac{7}{4}$ . Options: (A) 1.75%, (B) 12.75%, (C) 175%, (D) 1775%.

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Problem 65414

Solve the inequality $x + 1 \geq 5$ and express the solution in interval notation.

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Problem 65415

Evaluate: $7 - 5(8 + 6) =$

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Problem 65416

What is the weight in grams of 1 mole of silver atoms, given that one silver atom weighs $1.79 \times 10^{-22}$ grams?

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Problem 65417

Find the value of $\csc (-1305)$ .

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Problem 65418

Divide 1.9 by 0.76.

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Problem 65419

Find the weight of 12 silver atoms given that one silver atom weighs $1.79 \times 10^{-22}$ grams.

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Problem 65420

Solve the inequality $x + 1 \geq 5$ and express the solution in interval notation.

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Problem 65421

Evaluate: $-36-6(6-10)^{2}=$

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Problem 65422

4,860 people visited a fair on Saturday, which was $20\%$ more than Friday. Find Friday's visitor count.

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Problem 65423

Evaluate: $(20 \div 5)^{3}+9^{2} \div 27$

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Problem 65424

Solve for $x$ : $\frac{220,000}{x+475}=0$

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Problem 65425

Given data: $6, 3, 8, 6, 4, 13$ . Find mean, median, mode, range, variance, std. dev., Z scores, and describe shape.

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Problem 65426

Evaluate: $-3+2\left[-1+\left(18 \div 3^{2}\right)\right]$

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Problem 65427

Calculate $4 - (-13) - 5$ .

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Problem 65428

Calculate: $300.42 - \frac{15.96}{0.213} =$

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Problem 65429

Find the second least positive value (in radians) for $\beta$ given $11\pi/6$ and for $\gamma$ given $\tan(\gamma)=1$ .

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Problem 65430

Five 6th graders raced 3 miles. Johnny was 3rd in 34 min. Other times were -5, -3, +4 min. Find 5th place time.

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Problem 65431

If $\tan (\gamma)=1$ , what are the least and second least positive values of $\gamma$ in radians?

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Problem 65432

Simplify: $16 - 24 \div 4(-4)^{2} + 21 =$

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Problem 65433

Calculate the expression: $12 - 17 - (-8)$ .

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Problem 65434

Calculate: $(15 \div 5)+3(9-7)^{2}=$

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Problem 65435

Given data: $n=6$ , values: 6, 3, 8, 6, 4, 13.
a. Find mean, median, mode. b. Find range, variance, standard deviation, coefficient of variation. c. Compute Z scores and identify outliers. d. Describe data shape. $S^{<}=12.666$ , $S=3.559$ , $\mathrm{CV}=\square$ .

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Problem 65436

Find values of $a$ and $b$ such that $3(2x+15)=ax+b$ has exactly one solution. Options for $a$ and $b$ are given.

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Problem 65437

Find the distance traveled if speed is 45 miles/hour for 2/3 hour. Use $d = rt$ .

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Problem 65438

Calculate $(-5)^{3} + 15 \div 3$ . What is the simplified result?

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Problem 65439

Calculate $\frac{0.0180-0.0059}{0.03168}$ .

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Problem 65440

Find the complement of an angle measuring $39^{\circ} 1650^{\prime \prime}$ .

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Problem 65441

Given data: 6, 3, 8, 6, 4, 13. Find mean, median, mode, range, variance, standard deviation, Z scores, and CV. Are there outliers?

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Problem 65442

How many cm are in 1 yard if there are 2.54 cm per inch? Show your work without rounding.

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Problem 65443

Calculate $\frac{5}{2}-\left(-\frac{2}{5}\right)$ .

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Problem 65444

A $28.4 \mathrm{~g}$ aluminum sample at $39.4{ }^{\circ} \mathrm{C}$ heats $50.0 \mathrm{~g}$ of water from $21.00^{\circ} \mathrm{C}$ to $23.00^{\circ} \mathrm{C}$ . Find aluminum's specific heat.

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Problem 65445

Evaluate a) $(-8)^{2}$ , b) $-(-8)^{2}$ , and c) $-8^{2}$ . What are the results?

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Problem 65446

Evaluate these expressions for $x = -8$ : a) $x^{2}$ , b) $-x^{2}$ , c) $(-x)^{2}$ .

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Problem 65447

What is the probability of correctly guessing a 5-digit PIN from a 10-key keypad on the first try? Use the multiplication rule.

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Problem 65448

Compute $\Delta y / \Delta x$ for $y=4x-7$ over $[2,6]$ and find the instantaneous rate of change at $x=2$ .

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Problem 65449

Given data: 6, 3, 8, 6, 4, 13 (n=6). Find mean, median, mode, range, variance, std. dev., Z scores, and data shape.

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Problem 65450

What is the probability of guessing a correct 5-digit pin code from a 7-key keypad on the first try? Simplify your answer.

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Problem 65451

Convert the equation $x - 4y = -4$ to slope-intercept form ( $y = mx + b$ ).

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Problem 65452

How many $\mathrm{Mm}$ are in 382 $\mathrm{dm}$ ?

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Problem 65453

Evaluate a) $x^{2}$ , b) $-x^{2}$ , and c) $(-x)^{2}$ for $x = -8$ . What are the results?

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Problem 65454

Evaluate $-9z - 6$ for $z = 3$ . What is the result?

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Problem 65455

Given data: 6, 3, 8, 6, 4, 13. Find mean, median, mode, range, variance, standard deviation, Z scores, and describe shape.

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Problem 65456

Evaluate the piecewise function $f(x)$ where $f(-9)$ and find $f(4)$ .

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Problem 65457

Evaluate $r^{2}-s^{2}$ for $r=-6$ and $s=-7$ . What is $r^{2}-s^{2}=?$

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Problem 65458

Calculate the distance between the points $(-6,-5)$ and $(2,0)$ .

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Problem 65459

Calculate the number of $\mathrm{CL}$ in $1.18 \times 10^{2} \mathrm{floz}$ .

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Problem 65460

Calculate $\left(\frac{4}{7}\right)^{2}$ .

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Problem 65461

Mix how many gallons of $80\%$ antifreeze with 60 gallons of $30\%$ antifreeze for a $70\%$ mixture? Use six steps.

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Problem 65462

Identify the function type (linear, exponential, quadratic, power, logarithmic) for these data sets:
1) $(4,2), (8,6), (12,18), (16,54)$ 2) $(10,8), (20,11), (30,13), (40,14)$ 3) $(2,12), (6,18), (12,21), (18,27)$

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Problem 65463

Evaluate: $-3 + 2[-2 + (45 \div 3^{2})]$

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Problem 65464

In a jar, $30\%$ of the beads are red, and there are 500 more blue beads than red. Find the total number of beads.

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Problem 65465

Convert $4.65 \times 10^{7}$ yards to megameters (Mm). How many Mm is that?

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Problem 65466

Rectangle $WXYX$ has length $3x + 5$ . Find the perimeter expression in terms of width $x$ .

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Problem 65467

Find the velocity of a particle with displacement $s=\frac{2}{t^{2}}$ at $t=a, t=1, t=2, t=3$ (in $\mathrm{m/s}$ ).

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Problem 65468

Calculate $11^{2}$ and provide the simplified answer in the box: $\square$ .

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Problem 65469

Solve and write the sum in standard form: a. 1 thousandth + 2 thousandths = $=$ b. 35 thousandths + 8 thousandths = $=$ hundredths c. 6 tenths + 3 thousandths = $=$

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Problem 65470

Find the critical points of $f(x, y)=x^{2}+2xy+2y^{2}-8x+2y$ and classify each as max, min, or saddle.

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Problem 65471

Calculate $(-9)^{2}$ . What is the result?

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Problem 65472

A cyclist took 3 h to cycle from Town X to Town Y at 12 km/h. If speed increases by 3 km/h, how long will the journey take?

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Problem 65473

Simplify: $6 - 18 \div 6(-5)^{2} + 8$

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Problem 65474

Solve the inequality $-4x > 8$ and express the solution in interval notation.

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Problem 65475

What is the probability of the shortest delivery route for two sites? Compute $2!$ and simplify.

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Problem 65476

Evaluate: $-6 + 3 \cdot 5^{2} - 9 =$

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Problem 65477

A moving company delivers to two sites. What is the probability of the shortest route using the factorial rule? Calculate $2!$ .

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Problem 65478

Simplify: $5 \cdot 5 + 4 \cdot 6 =$

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Problem 65479

Evaluate: $-33 - 6(6 - 10)^{2}$ . What is the result?

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Problem 65480

Calculate: $(4 \div 2) + 4(8-2)^{2}$ . What is the result?

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Problem 65481

Solve the inequality $-5 x \leq 30$ and express the solution in interval notation.

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Problem 65482

Find $f+g$ , $f-g$ , $fg$ , and $\frac{f}{g}$ for given functions $f(x)$ and $g(x)$ in three cases.

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Problem 65483

Evaluate $r^{2}-s^{2}$ for $r=-3$ and $s=-4$ . What is the result?

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Problem 65484

Find $f+g$ , $f-g$ , $fg$ , and $\frac{f}{g}$ for $f(x)=3x+4$ and $g(x)=2x-1$ .

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Problem 65485

Find critical points of $t(x, y)=x^{3}-12xy+y^{3}$ and classify as max, min, or saddle.

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Problem 65486

Evaluate a) $x^{2}$ , b) $-x^{2}$ , and c) $(-x)^{2}$ for $x = -8$ . Find values for a), b), and c).

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Problem 65487

What interval does the inequality $-3 \leq x < 6$ represent?

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Problem 65488

Calculate $3 + 9 \cdot 6$ . What is the result?

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Problem 65489

Evaluate: $(35 \div 7)^{3}+9^{2} \div 27$

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Problem 65490

Minimize the cost function $C(x, y) = 3000 + 600x^2 + 700y^2$ for pounds of sulfur ( $x$ ) and lead ( $y$ ) removed daily.

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Problem 65491

Convert $7.98 \times 10^{5}$ tons to gigagrams (Gg) and report the answer with 3 significant figures.

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Problem 65492

Find the implicit derivative of $y - \cos y = x + 1$ .

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Problem 65493

Peirson bought $4 \frac{1}{3}$ pounds of shrimp. On Wednesday, he bought double. On Friday, he used $\frac{D}{6}$ . How much did he use?

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Problem 65494

Evaluate: $7 - 5(9 + 8) =$

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Problem 65495

Given $f(x)=2x-5$ and $g(x)=4x^{2}$ , find: a. $f+g$ , b. $f-g$ , c. $fg$ , d. $\frac{f}{g}$ .

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Problem 65496

Convert $2.25 \times 10^{12}$ yards to $T m$ and report the answer to 3 significant figures.

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Problem 65497

Calculate $51,599 - 22,782$ and check if it is approximately $33,000$ .

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Problem 65498

Find the following for $f(x)=2x-5$ and $g(x)=4x^{2}$ : a. $f+g$ , b. $f-g$ , c. $fg$ , d. $\frac{f}{g}$ .

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Problem 65499

Find prices $p_{1}$ and $p_{2}$ for Ultra Mini and Big Stack such that $q_{1}=0$ and $q_{2}=0$ using given demand functions.

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Problem 65500

Find expressions equivalent to $(5 g+3 h+4) \cdot 2$ . Choose all that apply: A $(5 g+3 h) \cdot 8$ , B $(5 g+3 h) \cdot 6$ , C None.

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1 ...652 653 654 655 656 657 658 ...660

Math

Problem 65401

Find the value of the variable var after executing: var = 100; var = var + 100; var = var + var.

Problem 65402

Determine the slope, mmm, of the tangent line to the curve y=7+5x2−2x3y=7+5 x^{2}-2 x^{3}y=7+5x2−2x3 at x=ax=ax=a.

Problem 65403

Decompose the function 1+xcos⁡(x)1+x \cos (x)1+xcos(x) into its even and odd parts.

Problem 65404

Calculate the value of 4+8⋅44 + 8 \cdot 44+8⋅4. What is the result?

Problem 65405

Decompose sin⁡2(y)−8y4sin⁡(y)\sin^{2}(y) - 8y^{4}\sin(y)sin2(y)−8y4sin(y) into even and odd functions.

Problem 65406

Find the linear depreciation function for a car priced at \$25,250, expected to be worth \$14,234 in 4 years. Also, estimate its value in 6 years and find the depreciation rate.

Problem 65407

Problem 65408

The temperature starts at −14∘C-14^{\circ} \mathrm{C}−14∘C and drops 5∘C5^{\circ} \mathrm{C}5∘C, 3∘C3^{\circ} \mathrm{C}3∘C, and 1∘C1^{\circ} \mathrm{C}1∘C. What's the final temperature?

Problem 65409

Evaluate: −8+2⋅52−7=-8 + 2 \cdot 5^{2} - 7 = −8+2⋅52−7=

Problem 65410

Miguel borrowed \$500 at 6.5\% simple interest for 6 months. What is the interest amount?

Problem 65411

Simplify: 6⋅4+8⋅6=6 \cdot 4 + 8 \cdot 6 = 6⋅4+8⋅6=

Problem 65412

Calculate the specific heat of a liquid given that 47.1 J47.1 \mathrm{~J}47.1 J raises 13.8 g13.8 \mathrm{~g}13.8 g by 1.79∘C1.79^{\circ} \mathrm{C}1.79∘C.

Problem 65413

Find the percentage equivalent of 74\frac{7}{4}47​. Options: (A) 1.75%, (B) 12.75%, (C) 175%, (D) 1775%.

Problem 65414

Solve the inequality x+1≥5x + 1 \geq 5x+1≥5 and express the solution in interval notation.

Problem 65415

Evaluate: 7−5(8+6)=7 - 5(8 + 6) = 7−5(8+6)=

Problem 65416

What is the weight in grams of 1 mole of silver atoms, given that one silver atom weighs 1.79×10−221.79 \times 10^{-22}1.79×10−22 grams?

Problem 65417

Find the value of csc⁡(−1305)\csc (-1305)csc(−1305).

Problem 65418

Divide 1.9 by 0.76.

Problem 65419

Find the weight of 12 silver atoms given that one silver atom weighs 1.79×10−221.79 \times 10^{-22}1.79×10−22 grams.

Problem 65420

Solve the inequality x+1≥5x + 1 \geq 5x+1≥5 and express the solution in interval notation.

Problem 65421

Evaluate: −36−6(6−10)2=-36-6(6-10)^{2}=−36−6(6−10)2=

Problem 65422

4,860 people visited a fair on Saturday, which was 20%20\%20% more than Friday. Find Friday's visitor count.

Problem 65423

Evaluate: (20÷5)3+92÷27(20 \div 5)^{3}+9^{2} \div 27(20÷5)3+92÷27

Problem 65424

Solve for xxx: 220,000x+475=0\frac{220,000}{x+475}=0x+475220,000​=0

Problem 65425

Given data: 6,3,8,6,4,136, 3, 8, 6, 4, 136,3,8,6,4,13. Find mean, median, mode, range, variance, std. dev., Z scores, and describe shape.

Problem 65426

Evaluate: −3+2[−1+(18÷32)]-3+2\left[-1+\left(18 \div 3^{2}\right)\right]−3+2[−1+(18÷32)]

Problem 65427

Calculate 4−(−13)−54 - (-13) - 54−(−13)−5.

Problem 65428

Calculate: 300.42−15.960.213=300.42 - \frac{15.96}{0.213} = 300.42−0.21315.96​=

Problem 65429

Find the second least positive value (in radians) for β\betaβ given 11π/611\pi/611π/6 and for γ\gammaγ given tan⁡(γ)=1\tan(\gamma)=1tan(γ)=1.

Problem 65430

Five 6th graders raced 3 miles. Johnny was 3rd in 34 min. Other times were -5, -3, +4 min. Find 5th place time.

Problem 65431

If tan⁡(γ)=1\tan (\gamma)=1tan(γ)=1, what are the least and second least positive values of γ\gammaγ in radians?

Problem 65432

Simplify: 16−24÷4(−4)2+21=16 - 24 \div 4(-4)^{2} + 21 = 16−24÷4(−4)2+21=

Problem 65433

Calculate the expression: 12−17−(−8)12 - 17 - (-8)12−17−(−8).

Problem 65434

Calculate: (15÷5)+3(9−7)2=(15 \div 5)+3(9-7)^{2}=(15÷5)+3(9−7)2=

Problem 65435

Problem 65436

Find values of aaa and bbb such that 3(2x+15)=ax+b3(2x+15)=ax+b3(2x+15)=ax+b has exactly one solution. Options for aaa and bbb are given.

Problem 65437

Find the distance traveled if speed is 45 miles/hour for 2/3 hour. Use d=rtd = rtd=rt.

Problem 65438

Calculate (−5)3+15÷3(-5)^{3} + 15 \div 3(−5)3+15÷3. What is the simplified result?

Problem 65439

Calculate 0.0180−0.00590.03168\frac{0.0180-0.0059}{0.03168}0.031680.0180−0.0059​.

Problem 65440

Find the complement of an angle measuring 39∘1650′′39^{\circ} 1650^{\prime \prime}39∘1650′′.

Problem 65441

Determine the slope, $m$ , of the tangent line to the curve $y=7+5 x^{2}-2 x^{3}$ at $x=a$ .

Decompose the function $1+x \cos (x)$ into its even and odd parts.

Calculate the value of $4 + 8 \cdot 4$ . What is the result?

Decompose $\sin^{2}(y) - 8y^{4}\sin(y)$ into even and odd functions.

The temperature starts at $-14^{\circ} \mathrm{C}$ and drops $5^{\circ} \mathrm{C}$ , $3^{\circ} \mathrm{C}$ , and $1^{\circ} \mathrm{C}$ . What's the final temperature?

Evaluate: $-8 + 2 \cdot 5^{2} - 7 =$

Simplify: $6 \cdot 4 + 8 \cdot 6 =$

Calculate the specific heat of a liquid given that $47.1 \mathrm{~J}$ raises $13.8 \mathrm{~g}$ by $1.79^{\circ} \mathrm{C}$ .

Find the percentage equivalent of $\frac{7}{4}$ . Options: (A) 1.75%, (B) 12.75%, (C) 175%, (D) 1775%.

Solve the inequality $x + 1 \geq 5$ and express the solution in interval notation.

Evaluate: $7 - 5(8 + 6) =$

What is the weight in grams of 1 mole of silver atoms, given that one silver atom weighs $1.79 \times 10^{-22}$ grams?

Find the value of $\csc (-1305)$ .

Find the weight of 12 silver atoms given that one silver atom weighs $1.79 \times 10^{-22}$ grams.

Solve the inequality $x + 1 \geq 5$ and express the solution in interval notation.

Evaluate: $-36-6(6-10)^{2}=$

4,860 people visited a fair on Saturday, which was $20\%$ more than Friday. Find Friday's visitor count.

Evaluate: $(20 \div 5)^{3}+9^{2} \div 27$

Solve for $x$ : $\frac{220,000}{x+475}=0$

Given data: $6, 3, 8, 6, 4, 13$ . Find mean, median, mode, range, variance, std. dev., Z scores, and describe shape.

Evaluate: $-3+2\left[-1+\left(18 \div 3^{2}\right)\right]$

Calculate $4 - (-13) - 5$ .

Calculate: $300.42 - \frac{15.96}{0.213} =$

Find the second least positive value (in radians) for $\beta$ given $11\pi/6$ and for $\gamma$ given $\tan(\gamma)=1$ .

If $\tan (\gamma)=1$ , what are the least and second least positive values of $\gamma$ in radians?

Simplify: $16 - 24 \div 4(-4)^{2} + 21 =$

Calculate the expression: $12 - 17 - (-8)$ .

Calculate: $(15 \div 5)+3(9-7)^{2}=$

Find values of $a$ and $b$ such that $3(2x+15)=ax+b$ has exactly one solution. Options for $a$ and $b$ are given.

Find the distance traveled if speed is 45 miles/hour for 2/3 hour. Use $d = rt$ .

Calculate $(-5)^{3} + 15 \div 3$ . What is the simplified result?

Calculate $\frac{0.0180-0.0059}{0.03168}$ .

Find the complement of an angle measuring $39^{\circ} 1650^{\prime \prime}$ .

Calculate $\frac{5}{2}-\left(-\frac{2}{5}\right)$ .

A $28.4 \mathrm{~g}$ aluminum sample at $39.4{ }^{\circ} \mathrm{C}$ heats $50.0 \mathrm{~g}$ of water from $21.00^{\circ} \mathrm{C}$ to $23.00^{\circ} \mathrm{C}$ . Find aluminum's specific heat.

Evaluate a) $(-8)^{2}$ , b) $-(-8)^{2}$ , and c) $-8^{2}$ . What are the results?

Evaluate these expressions for $x = -8$ : a) $x^{2}$ , b) $-x^{2}$ , c) $(-x)^{2}$ .

Compute $\Delta y / \Delta x$ for $y=4x-7$ over $[2,6]$ and find the instantaneous rate of change at $x=2$ .

Convert the equation $x - 4y = -4$ to slope-intercept form ( $y = mx + b$ ).

How many $\mathrm{Mm}$ are in 382 $\mathrm{dm}$ ?

Evaluate a) $x^{2}$ , b) $-x^{2}$ , and c) $(-x)^{2}$ for $x = -8$ . What are the results?

Evaluate $-9z - 6$ for $z = 3$ . What is the result?

Evaluate the piecewise function $f(x)$ where $f(-9)$ and find $f(4)$ .

Evaluate $r^{2}-s^{2}$ for $r=-6$ and $s=-7$ . What is $r^{2}-s^{2}=?$

Calculate the distance between the points $(-6,-5)$ and $(2,0)$ .

Calculate the number of $\mathrm{CL}$ in $1.18 \times 10^{2} \mathrm{floz}$ .

Calculate $\left(\frac{4}{7}\right)^{2}$ .

Mix how many gallons of $80\%$ antifreeze with 60 gallons of $30\%$ antifreeze for a $70\%$ mixture? Use six steps.

Evaluate: $-3 + 2[-2 + (45 \div 3^{2})]$

In a jar, $30\%$ of the beads are red, and there are 500 more blue beads than red. Find the total number of beads.

Convert $4.65 \times 10^{7}$ yards to megameters (Mm). How many Mm is that?

Rectangle $WXYX$ has length $3x + 5$ . Find the perimeter expression in terms of width $x$ .

Find the velocity of a particle with displacement $s=\frac{2}{t^{2}}$ at $t=a, t=1, t=2, t=3$ (in $\mathrm{m/s}$ ).

Calculate $11^{2}$ and provide the simplified answer in the box: $\square$ .

Solve and write the sum in standard form: a. 1 thousandth + 2 thousandths = $=$ b. 35 thousandths + 8 thousandths = $=$ hundredths c. 6 tenths + 3 thousandths = $=$

Find the critical points of $f(x, y)=x^{2}+2xy+2y^{2}-8x+2y$ and classify each as max, min, or saddle.

Calculate $(-9)^{2}$ . What is the result?

Simplify: $6 - 18 \div 6(-5)^{2} + 8$

Solve the inequality $-4x > 8$ and express the solution in interval notation.