Measurement

Problem 401

Find the function $y(x)$ that satisfies the first-order differential equation $y' = y \sin x$ , where $y = \pi e^{-\cos x}$ is a solution.

See Solution

Problem 402

Find the value of $f(-4)$ for $f(x)=\frac{-14-x^{2}}{9}$ , rounded to the nearest hundredth.

See Solution

Problem 403

Find the degree 4 polynomial $P(x)$ with roots at $x=4$ (multiplicity 2), $x=0$ (multiplicity 1), and $x=-2$ (multiplicity 1), passing through $(1,-135)$ .

See Solution

Problem 404

Redefine a linear function $y=6x+13$ , find its inverse, and determine the relationship between the functions.
$f(x) = 6x + 13$ $x = (y-13)/6$ $g(y) = (y-13)/6$ $g$ undoes the process of $f$ , $f=g^{-1}$ , $f$ and $g$ are inverses.

See Solution

Problem 405

Find the antiderivative of $R(x) = \frac{100 e^{x+5}}{(1+e^{x+5})^2}$ , where $x$ is the natural log of a histamine dose in mM. Evaluate the antiderivative at $x=-8.9$ and round to 3 decimal places.

See Solution

Problem 406

Simplify the expression $(30 a - 0.23 g)^2$ .

See Solution

Problem 407

Simplify the expression $(r+f+6)(r+f-6)$ .

See Solution

Problem 408

Rewrite parametric equations $x = t, y = -t^2/3$ in rectangular form.

See Solution

Problem 409

Graph the quadratic inequality $y < -2x^2 - 8x - 12$ . Determine which ordered pairs $(x, y)$ are solutions.

See Solution

Problem 410

Simplify the expression $(v-3f)^2$ and express the result as a single term.

See Solution

Problem 411

Solve the system of linear equations: $x = -4$ and $y + 6.2x = -13$ .

See Solution

Problem 412

Simplify the expression $12 \times 5$ . Show your work.

See Solution

Problem 413

Solve the exponential equation $9^{x+3}=27^{-2x+4}$ for the unknown variable $x$ .

See Solution

Problem 414

Calculate the ratio of input and output power in decibels, given input power is $20 \mathrm{~W}$ and output power is $40 \mathrm{~W}$ .

See Solution

Problem 415

Find the equation of a circle with center at $(-3, 6)$ given that the line $3x - y - 5 = 0$ is tangent to the circle.

See Solution

Problem 416

Find the solution set of the equation $|x-6| + 4 = 10$ .

See Solution

Problem 417

Find the child's age using the dosage formula: $A = \frac{100 \times D}{4 \times N} - 5$ . Rearrange the formula to recover the child's age $A$ .

See Solution

Problem 418

Find the value of $x$ given the equation of a line $y-y_1 = m(x-x_1)$

See Solution

Problem 419

Find the distance represented by a 6-inch line segment on a scale drawing where 4 inches represents 25 miles.

See Solution

Problem 420

Evaluate the indefinite integral $\int \frac{2 \arccos (7 x)}{\sqrt{1-49 x^{2}}} d x =$ C$

See Solution

Problem 421

Laura has $\frac{5}{7}$ jugs of water and needs $\frac{1}{6}$ jugs per liter of paint. The expression to find the liters of paint she can mix is: $\frac{5}{7} \div \frac{1}{6}$ .

See Solution

Problem 422

Solve the equation $4x - 2 = 10$ using algebra tiles. The solution is $\square$ . (Type the value of $x$ .)

See Solution

Problem 423

Determine if the following polygon pairs are always, sometimes, or never similar: $40.$ two obtuse triangles $41.$ a trapezoid and a parallelogram $42.$ two right triangles $43.$ two isosceles triangles $44.$ a scalene triangle and an isosceles triangle $45.$ two equilateral triangles

See Solution

Problem 424

Résoudre l'équation $x(x+7)=0$ .

See Solution

Problem 425

Evaluate $3x-7$ when $x=6$ . Evaluate $6y-13$ when $y=4$ . Evaluate $\frac{xz}{5}$ when $x=5$ and $z=5$ .

See Solution

Problem 426

Solve the quadratic equation $49 m^{2} - 2 = 79$ for real-valued $m$ .

See Solution

Problem 427

Sketch the region where $y=2$ .

See Solution

Problem 428

Identificar la propiedad mostrada en la ecuación $4+(3+x)=4$ , que implica las propiedades conmutativa, asociativa y distributiva.

See Solution

Problem 429

Find the future cost of a CD after 12 years, given an inflation rate of $4.5 \%$ and a present cost of $\$ 12.95$ . Round the answer to the nearest cent.

See Solution

Problem 430

Find the value of $x$ in the simplified expression $g^{x} + h^{-3} = \frac{1}{g^{6}} + \frac{1}{h^{3}}$ .

See Solution

Problem 431

Find $t$ in simplest radical form. Given: $30, 60, \frac{6}{2}$ (inches).

See Solution

Problem 432

Solve the exponential equation $5^{x}=\frac{1}{625}$ to find the value of $x$ .

See Solution

Problem 433

Solve the inequality $4x - 61 > -85$ for the real number $x$ .

See Solution

Problem 434

Solve for $x$ in the equation $5^{x} = 25$ . Write the answer as an integer or simplified fraction.

See Solution

Problem 435

Multiply $4.3 \times \frac{4}{9}$ and round the answer to the nearest hundredth.

See Solution

Problem 436

Find the value of $f(-2)$ when $f(x) = -\frac{3}{5}x + 2$ .

See Solution

Problem 437

Find the quotient of $\frac{43}{36}$ divided by $\frac{43}{22}$ , reduced to lowest terms.

See Solution

Problem 438

Find the value of $y$ when the line $-904-(-38)x=-14y$ has $x=-3$ . (Round answer to two decimal places)

See Solution

Problem 439

Solve the linear equation $28-\frac{x}{4}=\frac{x}{3}$ and find the solution set.

See Solution

Problem 440

Solve the linear equation $9=5(x-2)-(x-7)$ and select the correct solution set.

See Solution

Problem 441

Solve the linear equation $24-5v=8$ for the variable $v$ .

See Solution

Problem 442

Solve $30kx - 6kx = 8$ for $x$ .

See Solution

Problem 443

Determine the cost in 2018 of an item that cost $100 in 1999 using a line graph and two models:$ C = 1.9x + 120.4 $and$ C = 0.03x^2 + 1.8x + 120.7 $, where$ C $is the cost$ x$ years after 2010.

See Solution

Problem 444

Find the value(s) of $x$ where $5(3x-8)-26=9(x-4)+18$ .

See Solution

Problem 445

Solve for the frequency $f$ given the equation $\frac{480}{f} = 10 \times N$ and $f = \sqrt{50 \times 10}$ .

See Solution

Problem 446

Solve the linear equation $x + 5 = 9$ for the value of $x$ .

See Solution

Problem 447

Identify coefficients and constants in $6y+5+m$ . What error might Sarah make? The coefficients are $6,1$ . The constant is $5$ . Sarah might not include the coefficient $1$ .

See Solution

Problem 448

Solve the linear equation $5x-7=7x-13$ and select the correct solution.

See Solution

Problem 449

Simplify the expression $\frac{2}{3}\left(\frac{3}{4} x+1 \frac{1}{8}\right)+\frac{4}{5}\left(2 \frac{1}{2} x+15\right)$ .

See Solution

Problem 450

Solve the equation $|3x+2| - 8 = 2x$ for all values of $x$ .

See Solution

Problem 451

Analyze the effect of changing $y=x^{3}$ to $f(x)=(x+1)^{3}$ . Identify the values most affected and describe the impact on the graph.

See Solution

Problem 452

Find the equation of the line of best fit for the data: (4, 3), (6, 4), (8, 9), (11, 12), (13, 17). Round the slope and y-intercept to 3 decimal places.

See Solution

Problem 453

Find the maximum value of the quadratic function $y = -3x^2 + 12x - 9$ . The vertex is at $x_{\text{vertex}} = -b/2a$ , and the maximum value is $y = 3$ .

See Solution

Problem 454

Simplify the expression $(-2)^{3}-12$ and select the correct answer.

See Solution

Problem 455

Graph the quadratic function $f(x) = x^2 - 2x$ .

See Solution

Problem 456

Find the linear function with $f(0)=6$ and slope $f=-9$ .

See Solution

Problem 457

Find the standard form of the rectangular equation given the equations $x=4-2t$ and $y=3-t$ .

See Solution

Problem 458

Determine if the given ordered pairs are solutions to the systems of linear inequalities.
1. $(2,0)$ : $y >$ \$$x-5\$$ and $\$$y \leq 2x+1\$$
2. $(1,4)$: $\$$y < 2x+2\$$ and $\$$y \geq -3x+4\$$

See Solution

Problem 459

Simplify $4x^3 - 6x^2 + 7x - 8 - (7x^3 - 10x^2 - 5x + 4)$ . Find the degree of the resulting polynomial.

See Solution

Problem 460

18. Is the absolute value of -14 equal to 14? True or False.
19. What is the value of $-3+(-14)$ ? a) 11, b) -11, c) -17, d) -42

See Solution

Problem 461

Express a function that multiplies input $x$ by 4, then adds 16.

See Solution

Problem 462

Solve the linear equation $-4x + 8 = 20$ for the value of $x$ .

See Solution

Problem 463

Find the second number that, when multiplied with $\frac{7}{3}$ , results in an irrational product. Options: $\frac{3}{7}$ , $2 \pi$ , 1, $\sqrt{3}$ .

See Solution

Problem 464

Encuentra el máximo común divisor de $9$ y $36$ .

See Solution

Problem 465

Solve for $x$ in the rational equation $\frac{x+1}{3x+6}=\frac{3}{x}+\frac{2x+6}{x(3x+6)}$ using factoring.

See Solution

Problem 466

Determine if each number is prime or composite, and explain your reasoning. $27, 19, 31, 38, 45, 53, 87, 93$

See Solution

Problem 467

Find the lengths of the legs of a right triangle where the first leg is 1 cm longer than the second, and the hypotenuse is 6 cm.
$\text{First Leg: } \sqrt{36 - x^2} + 1 \text{ cm}$ $\text{Second Leg: } \sqrt{36 - x^2} \text{ cm}$

See Solution

Problem 468

Find the probability that 5 out of 10 randomly selected individuals in Kenya use public transportation, given 63% of the population uses public transportation.

See Solution

Problem 469

Solve for the value of $5 \times (-38)$ .

See Solution

Problem 470

Solve for the missing variable in the equation $\frac{x}{6}+4=5$ .

See Solution

Problem 471

Find the equation of the linear function with $y$ -intercept $(-4)$ and $x$ -intercept $(5,0)$ . $f(x) = \frac{4}{5}x - 4$

See Solution

Problem 472

Given directly proportional ratios, find the missing variable $y_2$ if $x_1=500$ , $y_1=250$ , and $x_2=370$ .

See Solution

Problem 473

Find the value of $x$ where the sum of $\frac{3}{8}$ and $x$ is $\frac{7}{2}$ .

See Solution

Problem 474

Find the product of $-9 x(5-2 x)$ .

See Solution

Problem 475

Solve $-125=w^{3}$ for real number $w$ . Simplify solution(s). If no solution, click "No solution".

See Solution

Problem 476

Find the constant in the equation $y = mx + b$ given the graph points (1,1.5), (2,3), (4,6), (6,9).

See Solution

Problem 477

Determine if the statement is correct: Since $3^{x}=20$ and $3^{x}=243$ are similar, they can be solved the same way.

See Solution

Problem 478

Solve for $x$ in the equation $7 \cdot 8 = x - 4$ .

See Solution

Problem 479

Find the value of $\cosh(3\ln 3) - \sinh(3\ln 3)$ .

See Solution

Problem 480

Exercise 1: Limits 3) Write the reference limits of the function $\ln x$ 4) Using these limits, calculate the limits of the following functions at the bounds of their domain: a) $f(x)=x^{2}-2+\ln x$ b) $g(x)=x^{2}+(2-\ln x)^{2}$ c) $h(x)=\frac{\ln (x+2)}{1+x^{2}}$ d) $l(x)=x(\ln x)^{2}$
Exercise 2: Derivative and sign study of the derivative Calculate the derivative function of the following functions and study the sign of the derivative: 4) $f(x)=-1+(\ln x)^{2}$ 5) $g(x)=\ln \frac{x}{x+1}$ 6) $h(x)=\ln \left|\frac{x-2}{x+4}\right|$
Exercise 3: Complex numbers 3) Solve the equation $z^{2}-2 i z-2=0$ in the set $\mathbb{C}$ of complex numbers 4) Let $z_{1}$ and $z_{2}$ be the solutions of this equation such that $\operatorname{Re}\left(z_{1}\right)>\operatorname{Re}\left(z_{2}\right)$ .

See Solution

Problem 481

Find the largest possible value of $f(15)$ if $f(x)$ is continuous and differentiable on $[6,15]$ , $f(6)=-2$ , and $f'(x) \leq 10$ for all $x \in [6,15]$ .

See Solution

Problem 482

Find the minimum degree of a polynomial with exactly two inflection points.

See Solution

Problem 483

Find the decimal value expressed in thousandths unit: $5.66$ , $10.27$ , $3.478$ , or $100.65$ ?

See Solution

Problem 484

Find the value of $f(81)$ for a continuous function $f$ that satisfies $\int_{0}^{x^{4}} f(t) dt + \int_{0}^{x} f(t^{4}) dt = x$ for all $x$ .

See Solution

Problem 485

Find the limit of the expression $(4^x - 5^x) / (3^x - 4^x)$ as $x$ approaches infinity.

See Solution

Problem 486

Find the solution to the equation $\ln (x-1)=1+\ln (3x+2)$ .

See Solution

Problem 487

Find the solutions to $x-x e^{5 x+2}=0$ . Then find the second derivative of $f(x)$ at $x=1$ , given $f'(x)+5f(x^2)=f^2(x)$ and $f(1)=2$ .

See Solution

Problem 488

Evaluate the definite integral $\int_{-1}^{0} \frac{7 x}{1+x^{4}} d x$ and select the correct answer.

See Solution

Problem 489

Find the linear approximation of $\cos 8$ about $x_0 = \frac{1}{2}$ for the function $f(x) = \cos(2x)$ .

See Solution

Problem 490

Find the value of $2 \sinh (2 \ln x)$ when $x=e$ .

See Solution

Problem 491

Find the inverse of the $2 \times 2$ matrix $A = \begin{bmatrix} 1 & -1 \\ -2 & 1 \end{bmatrix}$ .

See Solution

Problem 492

Find the derivative of $y=\csc^{-1}(\sec x)$ for $0<x<\pi/2$ .

See Solution

Problem 493

Find $c_{12}$ where $C = AB$ and $A = \begin{bmatrix} 1 & -2 & 0 \\ -3 & 4 & -1 \end{bmatrix}, B = \begin{bmatrix} 6 & -5 \\ -2 & 2 \\ 0 & 3 \end{bmatrix}$ .

See Solution

Problem 494

Determine which statement is true for the given universal set $X=\{1,2,3\}$ and set $A=\{1,2\}$ .

See Solution

Problem 495

A manufacturer claims the mean breaking strength of new cables is greater than 1775 lbs. Test this claim using a one-tailed test with $\alpha=0.05$ . The sample mean is 1790 lbs and the population standard deviation is 55 lbs.
(a) $H_0: \mu \leq 1775$ lbs, $H_1: \mu > 1775$ lbs (b) Use a z-test (c) Test statistic $z = \frac{\bar{x} - \mu}{\sigma/\sqrt{n}} = 1.818$ (d) $p$ -value $= 0.035$ (e) Yes, we can support the claim that the mean breaking strength is greater than 1775 lbs.

See Solution

Problem 496

Find the solution of the equation $\frac{y^{2}}{y-1}+\frac{2y-3}{y-1}=1$ .

See Solution

Problem 497

Find the linear approximation of $f(x) = x^{1/4}$ at $x_0 = 2$ . Select the correct answer.

See Solution

Problem 498

Simplify $\frac{2 x}{y^{2}} \cdot \frac{y^{4}}{2 x^{2}}$ and $\frac{1}{01}-\frac{2}{3}$ .

See Solution

Problem 499

Find the value of $z$ given a system of linear equations involving $2 \times 2$ matrices.

See Solution

Problem 500

Find the set difference between the set of odd natural numbers less than or equal to 9 and the set {1, 2, 3, 4}.
$A=\{x: x \text{ is odd natural number } \leq 9\}$ $B=\{1,2,3,4\}$ $A-B=$

See Solution

1 2 3 4 5 6 7 8 ...10

Measurement

Problem 401

Find the function y(x)y(x)y(x) that satisfies the first-order differential equation y′=ysin⁡xy' = y \sin xy′=ysinx, where y=πe−cos⁡xy = \pi e^{-\cos x}y=πe−cosx is a solution.

Problem 402

Find the value of f(−4)f(-4)f(−4) for f(x)=−14−x29f(x)=\frac{-14-x^{2}}{9}f(x)=9−14−x2​, rounded to the nearest hundredth.

Problem 403

Find the degree 4 polynomial P(x)P(x)P(x) with roots at x=4x=4x=4 (multiplicity 2), x=0x=0x=0 (multiplicity 1), and x=−2x=-2x=−2 (multiplicity 1), passing through (1,−135)(1,-135)(1,−135).

Problem 404

Problem 405

Find the antiderivative of R(x)=100ex+5(1+ex+5)2R(x) = \frac{100 e^{x+5}}{(1+e^{x+5})^2}R(x)=(1+ex+5)2100ex+5​, where xxx is the natural log of a histamine dose in mM. Evaluate the antiderivative at x=−8.9x=-8.9x=−8.9 and round to 3 decimal places.

Problem 406

Simplify the expression (30a−0.23g)2(30 a - 0.23 g)^2(30a−0.23g)2.

Problem 407

Simplify the expression (r+f+6)(r+f−6)(r+f+6)(r+f-6)(r+f+6)(r+f−6).

Problem 408

Rewrite parametric equations x=t,y=−t2/3x = t, y = -t^2/3x=t,y=−t2/3 in rectangular form.

Problem 409

Graph the quadratic inequality y<−2x2−8x−12y < -2x^2 - 8x - 12y<−2x2−8x−12. Determine which ordered pairs (x,y)(x, y)(x,y) are solutions.

Problem 410

Simplify the expression (v−3f)2(v-3f)^2(v−3f)2 and express the result as a single term.

Problem 411

Solve the system of linear equations: x=−4x = -4x=−4 and y+6.2x=−13y + 6.2x = -13y+6.2x=−13.

Problem 412

Simplify the expression 12×512 \times 512×5. Show your work.

Problem 413

Solve the exponential equation 9x+3=27−2x+49^{x+3}=27^{-2x+4}9x+3=27−2x+4 for the unknown variable xxx.

Problem 414

Calculate the ratio of input and output power in decibels, given input power is 20 W20 \mathrm{~W}20 W and output power is 40 W40 \mathrm{~W}40 W.

Problem 415

Find the equation of a circle with center at (−3,6)(-3, 6)(−3,6) given that the line 3x−y−5=03x - y - 5 = 03x−y−5=0 is tangent to the circle.

Problem 416

Find the solution set of the equation ∣x−6∣+4=10|x-6| + 4 = 10∣x−6∣+4=10.

Problem 417

Find the child's age using the dosage formula: A=100×D4×N−5A = \frac{100 \times D}{4 \times N} - 5A=4×N100×D​−5. Rearrange the formula to recover the child's age AAA.

Problem 418

Find the value of xxx given the equation of a line y−y1=m(x−x1)y-y_1 = m(x-x_1)y−y1​=m(x−x1​)

Problem 419

Find the distance represented by a 6-inch line segment on a scale drawing where 4 inches represents 25 miles.

Problem 420

Evaluate the indefinite integral ∫2arccos⁡(7x)1−49x2dx=\int \frac{2 \arccos (7 x)}{\sqrt{1-49 x^{2}}} d x = ∫1−49x2​2arccos(7x)​dx=C$

Problem 421

Laura has 57\frac{5}{7}75​ jugs of water and needs 16\frac{1}{6}61​ jugs per liter of paint. The expression to find the liters of paint she can mix is: 57÷16\frac{5}{7} \div \frac{1}{6}75​÷61​.

Problem 422

Solve the equation 4x−2=104x - 2 = 104x−2=10 using algebra tiles. The solution is □\square□. (Type the value of xxx.)

Problem 423

Problem 424

Résoudre l'équation x(x+7)=0x(x+7)=0x(x+7)=0.

Problem 425

Evaluate 3x−73x-73x−7 when x=6x=6x=6. Evaluate 6y−136y-136y−13 when y=4y=4y=4. Evaluate xz5\frac{xz}{5}5xz​ when x=5x=5x=5 and z=5z=5z=5.

Problem 426

Solve the quadratic equation 49m2−2=7949 m^{2} - 2 = 7949m2−2=79 for real-valued mmm.

Problem 427

Sketch the region where y=2y=2y=2.

Problem 428

Identificar la propiedad mostrada en la ecuación 4+(3+x)=44+(3+x)=44+(3+x)=4, que implica las propiedades conmutativa, asociativa y distributiva.

Problem 429

Find the future cost of a CD after 12 years, given an inflation rate of 4.5%4.5 \%4.5% and a present cost of $12.95\$ 12.95$12.95. Round the answer to the nearest cent.

Problem 430

Find the value of xxx in the simplified expression gx+h−3=1g6+1h3g^{x} + h^{-3} = \frac{1}{g^{6}} + \frac{1}{h^{3}}gx+h−3=g61​+h31​.

Problem 431

Find ttt in simplest radical form. Given: 30,60,6230, 60, \frac{6}{2}30,60,26​ (inches).

Problem 432

Solve the exponential equation 5x=16255^{x}=\frac{1}{625}5x=6251​ to find the value of xxx.

Problem 433

Solve the inequality 4x−61>−854x - 61 > -854x−61>−85 for the real number xxx.

Problem 434

Solve for xxx in the equation 5x=255^{x} = 255x=25. Write the answer as an integer or simplified fraction.

Problem 435

Multiply 4.3×494.3 \times \frac{4}{9}4.3×94​ and round the answer to the nearest hundredth.

Problem 436

Find the value of f(−2)f(-2)f(−2) when f(x)=−35x+2f(x) = -\frac{3}{5}x + 2f(x)=−53​x+2.

Problem 437

Find the quotient of 4336\frac{43}{36}3643​ divided by 4322\frac{43}{22}2243​, reduced to lowest terms.

Problem 438

Find the value of yyy when the line −904−(−38)x=−14y-904-(-38)x=-14y−904−(−38)x=−14y has x=−3x=-3x=−3. (Round answer to two decimal places)

Problem 439

Solve the linear equation 28−x4=x328-\frac{x}{4}=\frac{x}{3}28−4x​=3x​ and find the solution set.

Problem 440

Solve the linear equation 9=5(x−2)−(x−7)9=5(x-2)-(x-7)9=5(x−2)−(x−7) and select the correct solution set.

Problem 441

Find the function $y(x)$ that satisfies the first-order differential equation $y' = y \sin x$ , where $y = \pi e^{-\cos x}$ is a solution.

Find the value of $f(-4)$ for $f(x)=\frac{-14-x^{2}}{9}$ , rounded to the nearest hundredth.

Find the degree 4 polynomial $P(x)$ with roots at $x=4$ (multiplicity 2), $x=0$ (multiplicity 1), and $x=-2$ (multiplicity 1), passing through $(1,-135)$ .

Find the antiderivative of $R(x) = \frac{100 e^{x+5}}{(1+e^{x+5})^2}$ , where $x$ is the natural log of a histamine dose in mM. Evaluate the antiderivative at $x=-8.9$ and round to 3 decimal places.

Simplify the expression $(30 a - 0.23 g)^2$ .

Simplify the expression $(r+f+6)(r+f-6)$ .

Rewrite parametric equations $x = t, y = -t^2/3$ in rectangular form.

Graph the quadratic inequality $y < -2x^2 - 8x - 12$ . Determine which ordered pairs $(x, y)$ are solutions.

Simplify the expression $(v-3f)^2$ and express the result as a single term.

Solve the system of linear equations: $x = -4$ and $y + 6.2x = -13$ .

Simplify the expression $12 \times 5$ . Show your work.

Solve the exponential equation $9^{x+3}=27^{-2x+4}$ for the unknown variable $x$ .

Calculate the ratio of input and output power in decibels, given input power is $20 \mathrm{~W}$ and output power is $40 \mathrm{~W}$ .

Find the equation of a circle with center at $(-3, 6)$ given that the line $3x - y - 5 = 0$ is tangent to the circle.

Find the solution set of the equation $|x-6| + 4 = 10$ .

Find the child's age using the dosage formula: $A = \frac{100 \times D}{4 \times N} - 5$ . Rearrange the formula to recover the child's age $A$ .

Find the value of $x$ given the equation of a line $y-y_1 = m(x-x_1)$

Evaluate the indefinite integral $\int \frac{2 \arccos (7 x)}{\sqrt{1-49 x^{2}}} d x =$ C$

Laura has $\frac{5}{7}$ jugs of water and needs $\frac{1}{6}$ jugs per liter of paint. The expression to find the liters of paint she can mix is: $\frac{5}{7} \div \frac{1}{6}$ .

Solve the equation $4x - 2 = 10$ using algebra tiles. The solution is $\square$ . (Type the value of $x$ .)

Résoudre l'équation $x(x+7)=0$ .

Evaluate $3x-7$ when $x=6$ . Evaluate $6y-13$ when $y=4$ . Evaluate $\frac{xz}{5}$ when $x=5$ and $z=5$ .

Solve the quadratic equation $49 m^{2} - 2 = 79$ for real-valued $m$ .

Sketch the region where $y=2$ .

Identificar la propiedad mostrada en la ecuación $4+(3+x)=4$ , que implica las propiedades conmutativa, asociativa y distributiva.

Find the future cost of a CD after 12 years, given an inflation rate of $4.5 \%$ and a present cost of $\$ 12.95$ . Round the answer to the nearest cent.

Find the value of $x$ in the simplified expression $g^{x} + h^{-3} = \frac{1}{g^{6}} + \frac{1}{h^{3}}$ .

Find $t$ in simplest radical form. Given: $30, 60, \frac{6}{2}$ (inches).

Solve the exponential equation $5^{x}=\frac{1}{625}$ to find the value of $x$ .

Solve the inequality $4x - 61 > -85$ for the real number $x$ .

Solve for $x$ in the equation $5^{x} = 25$ . Write the answer as an integer or simplified fraction.

Multiply $4.3 \times \frac{4}{9}$ and round the answer to the nearest hundredth.

Find the value of $f(-2)$ when $f(x) = -\frac{3}{5}x + 2$ .

Find the quotient of $\frac{43}{36}$ divided by $\frac{43}{22}$ , reduced to lowest terms.

Find the value of $y$ when the line $-904-(-38)x=-14y$ has $x=-3$ . (Round answer to two decimal places)

Solve the linear equation $28-\frac{x}{4}=\frac{x}{3}$ and find the solution set.

Solve the linear equation $9=5(x-2)-(x-7)$ and select the correct solution set.

Solve the linear equation $24-5v=8$ for the variable $v$ .

Solve $30kx - 6kx = 8$ for $x$ .

Determine the cost in 2018 of an item that cost $100 in 1999 using a line graph and two models:$ C = 1.9x + 120.4 $and$ C = 0.03x^2 + 1.8x + 120.7 $, where$ C $is the cost$ x$ years after 2010.

Find the value(s) of $x$ where $5(3x-8)-26=9(x-4)+18$ .

Solve for the frequency $f$ given the equation $\frac{480}{f} = 10 \times N$ and $f = \sqrt{50 \times 10}$ .

Solve the linear equation $x + 5 = 9$ for the value of $x$ .

Identify coefficients and constants in $6y+5+m$ . What error might Sarah make? The coefficients are $6,1$ . The constant is $5$ . Sarah might not include the coefficient $1$ .

Solve the linear equation $5x-7=7x-13$ and select the correct solution.

Simplify the expression $\frac{2}{3}\left(\frac{3}{4} x+1 \frac{1}{8}\right)+\frac{4}{5}\left(2 \frac{1}{2} x+15\right)$ .

Solve the equation $|3x+2| - 8 = 2x$ for all values of $x$ .

Analyze the effect of changing $y=x^{3}$ to $f(x)=(x+1)^{3}$ . Identify the values most affected and describe the impact on the graph.

Find the maximum value of the quadratic function $y = -3x^2 + 12x - 9$ . The vertex is at $x_{\text{vertex}} = -b/2a$ , and the maximum value is $y = 3$ .

Simplify the expression $(-2)^{3}-12$ and select the correct answer.

Graph the quadratic function $f(x) = x^2 - 2x$ .

Find the linear function with $f(0)=6$ and slope $f=-9$ .

Find the standard form of the rectangular equation given the equations $x=4-2t$ and $y=3-t$ .

Determine if the given ordered pairs are solutions to the systems of linear inequalities.
1. $(2,0)$ : $y >$ \$$x-5\$$ and $\$$y \leq 2x+1\$$
2. $(1,4)$: $\$$y < 2x+2\$$ and $\$$y \geq -3x+4\$$

Simplify $4x^3 - 6x^2 + 7x - 8 - (7x^3 - 10x^2 - 5x + 4)$ . Find the degree of the resulting polynomial.

18. Is the absolute value of -14 equal to 14? True or False.
19. What is the value of $-3+(-14)$ ? a) 11, b) -11, c) -17, d) -42

Express a function that multiplies input $x$ by 4, then adds 16.

Solve the linear equation $-4x + 8 = 20$ for the value of $x$ .

Find the second number that, when multiplied with $\frac{7}{3}$ , results in an irrational product. Options: $\frac{3}{7}$ , $2 \pi$ , 1, $\sqrt{3}$ .

Encuentra el máximo común divisor de $9$ y $36$ .

Solve for $x$ in the rational equation $\frac{x+1}{3x+6}=\frac{3}{x}+\frac{2x+6}{x(3x+6)}$ using factoring.

Determine if each number is prime or composite, and explain your reasoning. $27, 19, 31, 38, 45, 53, 87, 93$

Solve for the value of $5 \times (-38)$ .

Solve for the missing variable in the equation $\frac{x}{6}+4=5$ .

Find the equation of the linear function with $y$ -intercept $(-4)$ and $x$ -intercept $(5,0)$ . $f(x) = \frac{4}{5}x - 4$

Given directly proportional ratios, find the missing variable $y_2$ if $x_1=500$ , $y_1=250$ , and $x_2=370$ .

Find the value of $x$ where the sum of $\frac{3}{8}$ and $x$ is $\frac{7}{2}$ .

Find the product of $-9 x(5-2 x)$ .