Browse Math problems in the Studdy Learning Bank!

Problem 601

Determine if the degree of the polynomial $f(x) = (x-2)(x-4)(x+1)$ is odd, even, or neither.

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Problem 602

Find the values of the variables $d$ , $e$ , and $f$ that make the given equations true: $\left(2^{d}\right)^{4}=2^{12}$ , $3^{5} \cdot 7^{5}=e^{5}$ , and $5^{0} \cdot 5^{f}=5^{4}$ .

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Problem 603

Find the intersection point of the linear equations $y = -6x + 2$ and $y = 3x - 7$ .

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Problem 604

Find the quotient of 3 divided by 5/6. Determine which of the following is the correct answer: $3 \frac{2}{5}$ , $3 \frac{3}{6}$ , $3 \frac{3}{5}$ , or $3 \frac{5}{6}$ .

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Problem 605

Find the missing value in the equation $12x + \square = 4(3x + 3)$ .

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Problem 606

Find the value of $2^3 = 8$ .

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Problem 607

Find the derivatives of $X$ , $3xe^x$ , and $xe^x$ .

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Problem 608

Solve the equation $3a - 3 = 6a$ . Select the correct choice: A. $a = \frac{3}{3}$ , B. The solution is all real numbers, C. There is no solution.

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Problem 609

Find the average rate of change of $f(x)=-x(x+2)(x-3)$ from $x=2$ to $x=3$ . This gives the drug concentration decrease rate in $\frac{\Delta f}{\Delta x}$ ppm/hour. State the integer answer.

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Problem 610

Simplify the product of $\sqrt{18}$ and $\sqrt{63}$ .

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Problem 611

Solve $2y^2 - 96 = 0$ for real $y$ . Round your answer(s) to the nearest hundredth. If there is more than one solution, list them separated by commas. If there is no solution, click "No solution".

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Problem 612

Which equation is nonlinear? $y=x^{2}-4$ or $3y-5x=11$ ?

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Problem 613

Find the gradient of the function $f(x, y) = x e^{xy^2} + \cos y^2$ .

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Problem 614

Solve for $n$ using the distributive property: $13 \times 4 = n$ . Fill in the missing values in the table.

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Problem 615

Solve the equation $-5=(x+7)^{\frac{1}{2}}-11$ for the value of $x$ .

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Problem 616

Find rational function $f(x) = \frac{ax + b}{cx + d}$ with $x$ -intercept at $\frac{1}{2}$ , $y$ -intercept at $-\frac{4}{3}$ , vertical asymptote at $x = -1$ , and horizontal asymptote at $y = \frac{8}{3}$ .

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Problem 617

Find the commission for sales of $\$ 720$ at a commission rate of $4\%$ .

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Problem 618

Solve the equation $9 v - 8 v + 7 = 14$ .

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Problem 619

Find the product of $P(x) = 4x$ and $R(x) = 4x - 6$ .

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Problem 620

Evaluate $\frac{1}{6}b + \frac{11}{24}$ when $b = \frac{1}{4}$ , and simplify the expression.

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Problem 621

List the sample in ascending order, use comma to separate. Find the range, number of classes, and class width. Complete the frequency distribution by listing the lower and upper class limits for each class and its frequency, including the maximum value(s) to the last class if the limits don't include it/them.

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Problem 622

Determine if the set of all symmetric $2 \times 2$ matrices, $W$ , is a subspace of $R^{2 \times 2}$ .

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Problem 623

Simplify the fraction $\frac{195}{315}$ .

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Problem 624

Find the eigenvalues of the $2 \times 2$ matrix $A = \left[\begin{array}{cc}3 & 0 \\ -1 & 8\end{array}\right]$ .

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Problem 625

Graph $f(x) = x^2(4 - 5x)^3$ and estimate any relative extrema.

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Problem 626

Solve for $w$ in the equation $3w + 4 = 22$ by subtracting the same number from both sides and then dividing.

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Problem 627

A person weighs 186 lbs with $13.3\%$ body fat. Calculate the weight of their body fat, rounded to the nearest tenth.

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Problem 628

Divide $x^{4}-4x^{2}-9x-15$ by $x+2$ . Divide $x^{3}-4x^{2}+5x-42$ by $x-5$ . Perform $F-1$ and $\frac{x^{4}-2x^{3}-52x^{2}+36x-28}{x-8}$ . Divide $x^{4}-8x^{3}+8x-58$ by $x-8$ . Divide $9x^{3}-73x^{2}+71x-2$ by $x-7$ . Divide $x^{4}-3x^{3}-47x^{2}+37x-21$ by $x+6$ . Divide $6x^{3}+47x^{2}+2x+84$ by $x+8$ .

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Problem 629

Find the mean of the movie counts reported by 7 students: $\frac{13 + 12 + 7 + 13 + 13 + 9 + 16}{7}$ . Round the result to the nearest tenth.

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Problem 630

Solve for $D$ in the equation $18 + D = 8 + 6$ .

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Problem 631

If a set of 3 vectors $\{v_1, v_2, v_3\}$ spans $\mathbb{R}^3$ , then it forms a basis for $\mathbb{R}^3$ . True or False?

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Problem 632

Find the value of $y$ given the equation $y = a + b \ln x$ , where $a = 50.0391615882$ , $b = 9.67624973418$ , and $x = 19$ .

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Problem 633

Simplify the expression $(0.9)^{2} - 0.4$ and calculate the result.

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Problem 634

Find the rate of change of sales with respect to advertising spending for the function $S(x) = -0.002x^3 + 0.7x^2 + 7x + 500$ on the interval $0 \leq x \leq 200$ . Determine if sales are increasing faster at $\$110,000$ or $\$160,000$ in advertising spend.

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Problem 635

An elephant's heart beats $375$ times in $10$ minutes. Find the elephant's heart rate in beats per minute.

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Problem 636

Find $y$ when $y$ varies directly as $x$ , and $y=18$ when $x=5$ , given $x=11$ .

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Problem 637

Fundraiser raised $x in week 1,$ 283 in week 2, $350 in week 3, and$ 140 in week 4. Find $x$ given the total of $955. Show steps to solve.

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Problem 638

Simplify the expression $e(e)(-5)$ .

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Problem 639

Find the plane equation $ax + by + cz = 0$ that passes through the points $(1,0,2), (-1,1,-2)$ , and the origin.

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Problem 640

Solve for $x$ in the equation $x(x-8)=0$ . Write the solutions as integers or simplified fractions.

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Problem 641

Probability of drawing two balls of the same color from a bag with 3 white and 4 black balls.

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Problem 642

Find the discriminant of the quadratic equation $-8x^2 - 9x - 1 = 0$ .

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Problem 643

Solve for the variable $u$ in the equation $187 = 232 - u$ .

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Problem 644

Find the range of the number of people who took the daily sightseeing trip around Florence over 9 summer days, where the number of people was $21, 26, 38, 47, 43, 18, 46, 21, 18$ .

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Problem 645

Determine if the equation $-7+9=-9+7$ is true, false, or open.

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Problem 646

Find the product of $\frac{5}{6}$ and $\frac{1}{2}$ , then shade the model to solve.

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Problem 647

Determine reaction order, rate constant, and units for data: $[A](M)$ and $t(s)$ .

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Problem 648

Find the absolute value of 11.

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Problem 649

Convert 3 meters to centimeters.

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Problem 650

Find the unit rate for $\$ 9.60$ for 4 pounds. The unit rate is $\$ \frac{9.60}{4}$ per pound.

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Problem 651

Find the mean score of $6$ students with scores $90$ , $17$ students with scores $80$ , and $13$ students with scores $70$ . Round the answer to at least one decimal place.

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Problem 652

Determine $\cos(-405^\circ)$ using the unit circle. Define cosine function from unit circle point $(x, y)$ .

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Problem 653

Solve for $u$ in the equation $3u = u + 8$ . Simplify the solution.

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Problem 654

Find all complex solutions to the equation $x + 2 + \frac{5}{x} = 0$ .

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Problem 655

Find the price of each pencil if 4 identical pencils cost $\$ 5.60$ .

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Problem 656

Solve the trigonometric equation $16 \cos x + 10 = 18$ for $0 \leq x \leq 360^{\circ}$ .

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Problem 657

Solve for $x$ in the equation $\frac{1}{9} x = 3$ .

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Problem 658

Solve the absolute value equation $|6-2x| + 1 = 3$ for the unknown variable $x$ .

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Problem 659

Convert 2.2 miles to feet using the given conversion rate of 5280 ft/mile. Options: A) 25,703 ft B) 11,616 ft C) 2400 ft D) 9640 ft

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Problem 660

Solve for the variable $v$ in the equation $m-v=k$ .

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Problem 661

Find the sum of two negative numbers: $-6.52 + (-9)$ .

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Problem 662

Solve the equation $\sqrt{7x+2}-2x=0$ for the value of $x$ .

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Problem 663

Solve the inequality $3x < 24$ and select the correct solution.

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Problem 664

Multiply $2 i(-6 i+6)$ and write the expression in standard form. Choose the correct answer.

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Problem 665

Rewrite $12x^2 - 36x + 28$ in the form $(4x - 4) \times q(x) + r(x)$ .

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Problem 666

Find values of $y$ less than 5 on the number line range of -11 to 11.

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Problem 667

Evaluate the integral of $\tan^3(x)\sec^6(x)$ and include the constant of integration.

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Problem 668

To meet the required cylinder area of $11 \mathrm{in}^{2}$ within $0.01 \mathrm{in}^{2}$ , the cylinder diameter $x$ must be held in the interval $[3.730, 3.754]$ inches.

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Problem 669

Solve the equation $9 c(c-11)+10(5 c-3)=3 c(c+5)+c(6 c-3)-30$ for $c$ .

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Problem 670

Which expression shows a difference of squares? $10 y^{2}-4 x^{2}$ or $16 y^{2}-x^{2}$ ?

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Problem 671

Divide 9,876 by 123 using long division. Find the quotient and remainder.

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Problem 672

Find the value of $y$ given the equation $\frac{y}{5}=2$ .

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Problem 673

Evaluate the expression $\frac{11^{-2}}{8^{2}}$ and write the result.

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Problem 674

For each $x$ , find $f(x)=3^{(x+1)}$ . Complete the table with $f(-1)$ .

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Problem 675

Solve the equation $0.75(m+5)+0.25m=8.75$ and express the solution set.

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Problem 676

Determine if each rational number $\frac{a}{b}$ is a perfect square.

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Problem 677

Find the value of $x$ that satisfies the equation $15x = -11$ . Express the answer as a simplified fraction, if applicable.

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Problem 678

Find $P(X=19)$ for the given sampling distribution: $X = \{-16, -12, -7, 10, 19\}$ and $P(X)= \{1/100, 1/50, 9/100, 3/50, \text{?}\}$ .

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Problem 679

Find $\tanh x$ given $\sinh x = -\frac{3}{4}$ .

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Problem 680

Find solutions to the quadratic equation $2n(3n-12)=0$ .

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Problem 681

Find $\sin X$ rounded to the nearest hundredth, given a hypotenuse of 35, opposite of 21, and adjacent of 28.

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Problem 682

Simplify $\frac{9x-63}{x^2-5x-14}$ by factoring and cancelling.

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Problem 683

Solve for $t$ in the equation $\frac{1}{r^{2}} = \frac{x+y}{t} + 8$ .

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Problem 684

Identify the polygon KLMN given: $KL=LM=MN=NK=14$ , $\angle K=\angle M$ , and $\angle L=\angle N$ .

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Problem 685

Find the value of $\cot \left(\tan ^{-1}\left(\sqrt{x^{2}+2 x}\right)\right)$ for $x \geq 0$ .

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Problem 686

Find the derivative of $y = \frac{4t - 3}{8t + 1}$ using the quotient rule. The solution is $\frac{d y}{d t} = \frac{32}{(8t + 1)^2}$ .

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Problem 687

Three friends share £300 in the ratio 10:11:9. How much does each friend receive?

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Problem 688

Find the volume of the solid generated by revolving the region bounded by $y=\tan^{-1} x$ , $y=0$ , and $x=1$ about the $y$ -axis.

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Problem 689

Find the equation of a line with $x$ -intercept 3 and slope 2.

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Problem 690

Simplify the expression $\sqrt{8} \cdot \frac{1}{4} \sqrt{6}$ .

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Problem 691

Find all integer solutions to the linear equation $3x + 7y = 2$ .

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Problem 692

Solve the quadratic equation $(-4 x^2 - 13 x + 4)(x - 3) + 4 x(x^2 - 1) + (x - 7)(x - 4) = 0$ .

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Problem 693

Find the equivalent expression for $\sqrt[5]{x^{41}}$ when $x>0$ .

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Problem 694

Simplify the rational expression $\frac{x-1}{(x-3)(x+1)}$ .

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Problem 695

Find the coefficient of variation for a set of $10$ systolic and diastolic blood pressure measurements (in $\mathrm{mm} \mathrm{Hg}$ ). The coefficient of variation for the systolic measurements is $\square \%$ .

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Problem 696

The Lalaland Company purchased equipment on 1/1/2012 for $90,000 with 10-year useful life and no salvage value. On 1/1/2017, they traded the old equipment, recording a$ 15,000 gain. What was the fair value of the old equipment?

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Problem 697

Use trapezoidal rule with 4 intervals to approximate the area under $f(x)=\sqrt{x+1}$ on $[2,4.5]$ . Round answer to 2 decimal places.

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Problem 698

Continuous function $f(x)$ has values $\{7, -9, 8, 2, -8\}$ at $x=\{0, 10, 20, 30, 40\}$ . Guarantee roots between $x=0$ and $x=10$ , $x=20$ and $x=30$ , $x=30$ and $x=40$ , but not between $x=10$ and $x=20$ .

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Problem 699

Find the compositions $f \circ f$ and $g \circ g$ where $f(x) = x^2 - 4$ and $g(x) = x/3$ . Simplify your answers.
$(f \circ f)(x) = x^4 - 8x^2 + 16$ $(g \circ g)(x) = x/9$

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Problem 700

List the elements in the set $A^{\prime} \cup B$ , where $A = \{q, s, u, w, y\}$ and $B = \{q, s, y, z\}$ .

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Math

Problem 601

Determine if the degree of the polynomial f(x)=(x−2)(x−4)(x+1)f(x) = (x-2)(x-4)(x+1)f(x)=(x−2)(x−4)(x+1) is odd, even, or neither.

Problem 602

Find the values of the variables ddd, eee, and fff that make the given equations true: (2d)4=212\left(2^{d}\right)^{4}=2^{12}(2d)4=212, 35⋅75=e53^{5} \cdot 7^{5}=e^{5}35⋅75=e5, and 50⋅5f=545^{0} \cdot 5^{f}=5^{4}50⋅5f=54.

Problem 603

Find the intersection point of the linear equations y=−6x+2y = -6x + 2y=−6x+2 and y=3x−7y = 3x - 7y=3x−7.

Problem 604

Find the quotient of 3 divided by 5/6. Determine which of the following is the correct answer: 3253 \frac{2}{5}352​, 3363 \frac{3}{6}363​, 3353 \frac{3}{5}353​, or 3563 \frac{5}{6}365​.

Problem 605

Find the missing value in the equation 12x+□=4(3x+3)12x + \square = 4(3x + 3)12x+□=4(3x+3).

Problem 606

Find the value of 23=82^3 = 823=8.

Problem 607

Find the derivatives of XXX, 3xex3xe^x3xex, and xexxe^xxex.

Problem 608

Solve the equation 3a−3=6a3a - 3 = 6a3a−3=6a. Select the correct choice: A. a=33a = \frac{3}{3}a=33​, B. The solution is all real numbers, C. There is no solution.

Problem 609

Find the average rate of change of f(x)=−x(x+2)(x−3)f(x)=-x(x+2)(x-3)f(x)=−x(x+2)(x−3) from x=2x=2x=2 to x=3x=3x=3. This gives the drug concentration decrease rate in ΔfΔx\frac{\Delta f}{\Delta x}ΔxΔf​ ppm/hour. State the integer answer.

Problem 610

Simplify the product of 18\sqrt{18}18​ and 63\sqrt{63}63​.

Problem 611

Solve 2y2−96=02y^2 - 96 = 02y2−96=0 for real yyy. Round your answer(s) to the nearest hundredth. If there is more than one solution, list them separated by commas. If there is no solution, click "No solution".

Problem 612

Which equation is nonlinear? y=x2−4y=x^{2}-4y=x2−4 or 3y−5x=113y-5x=113y−5x=11?

Problem 613

Find the gradient of the function f(x,y)=xexy2+cos⁡y2f(x, y) = x e^{xy^2} + \cos y^2f(x,y)=xexy2+cosy2.

Problem 614

Solve for nnn using the distributive property: 13×4=n13 \times 4 = n13×4=n. Fill in the missing values in the table.

Problem 615

Solve the equation −5=(x+7)12−11-5=(x+7)^{\frac{1}{2}}-11−5=(x+7)21​−11 for the value of xxx.

Problem 616

Find rational function f(x)=ax+bcx+df(x) = \frac{ax + b}{cx + d}f(x)=cx+dax+b​ with xxx-intercept at 12\frac{1}{2}21​, yyy-intercept at −43-\frac{4}{3}−34​, vertical asymptote at x=−1x = -1x=−1, and horizontal asymptote at y=83y = \frac{8}{3}y=38​.

Problem 617

Find the commission for sales of $720\$ 720$720 at a commission rate of 4%4\%4%.

Problem 618

Solve the equation 9v−8v+7=149 v - 8 v + 7 = 149v−8v+7=14.

Problem 619

Find the product of P(x)=4xP(x) = 4xP(x)=4x and R(x)=4x−6R(x) = 4x - 6R(x)=4x−6.

Problem 620

Evaluate 16b+1124\frac{1}{6}b + \frac{11}{24}61​b+2411​ when b=14b = \frac{1}{4}b=41​, and simplify the expression.

Problem 621

Problem 622

Determine if the set of all symmetric 2×22 \times 22×2 matrices, WWW, is a subspace of R2×2R^{2 \times 2}R2×2.

Problem 623

Simplify the fraction 195315\frac{195}{315}315195​.

Problem 624

Find the eigenvalues of the 2×22 \times 22×2 matrix A=[30−18]A = \left[\begin{array}{cc}3 & 0 \\ -1 & 8\end{array}\right]A=[3−1​08​].

Problem 625

Graph f(x)=x2(4−5x)3f(x) = x^2(4 - 5x)^3f(x)=x2(4−5x)3 and estimate any relative extrema.

Problem 626

Solve for www in the equation 3w+4=223w + 4 = 223w+4=22 by subtracting the same number from both sides and then dividing.

Problem 627

A person weighs 186 lbs with 13.3%13.3\%13.3% body fat. Calculate the weight of their body fat, rounded to the nearest tenth.

Problem 628

Problem 629

Find the mean of the movie counts reported by 7 students: 13+12+7+13+13+9+167\frac{13 + 12 + 7 + 13 + 13 + 9 + 16}{7}713+12+7+13+13+9+16​. Round the result to the nearest tenth.

Problem 630

Solve for DDD in the equation 18+D=8+618 + D = 8 + 618+D=8+6.

Problem 631

If a set of 3 vectors {v1,v2,v3}\{v_1, v_2, v_3\}{v1​,v2​,v3​} spans R3\mathbb{R}^3R3, then it forms a basis for R3\mathbb{R}^3R3. True or False?

Problem 632

Find the value of yyy given the equation y=a+bln⁡xy = a + b \ln xy=a+blnx, where a=50.0391615882a = 50.0391615882a=50.0391615882, b=9.67624973418b = 9.67624973418b=9.67624973418, and x=19x = 19x=19.

Problem 633

Simplify the expression (0.9)2−0.4(0.9)^{2} - 0.4(0.9)2−0.4 and calculate the result.

Problem 634

Problem 635

An elephant's heart beats 375375375 times in 101010 minutes. Find the elephant's heart rate in beats per minute.

Problem 636

Find yyy when yyy varies directly as xxx, and y=18y=18y=18 when x=5x=5x=5, given x=11x=11x=11.

Problem 637

Fundraiser raised xinweek1,x in week 1, xinweek1,283 in week 2, 350inweek3,and350 in week 3, and 350inweek3,and140 in week 4. Find xxx given the total of $955. Show steps to solve.

Problem 638

Simplify the expression e(e)(−5)e(e)(-5)e(e)(−5).

Problem 639

Find the plane equation ax+by+cz=0ax + by + cz = 0ax+by+cz=0 that passes through the points (1,0,2),(−1,1,−2)(1,0,2), (-1,1,-2)(1,0,2),(−1,1,−2), and the origin.

Problem 640

Solve for xxx in the equation x(x−8)=0x(x-8)=0x(x−8)=0. Write the solutions as integers or simplified fractions.

Problem 641

Probability of drawing two balls of the same color from a bag with 3 white and 4 black balls.

Determine if the degree of the polynomial $f(x) = (x-2)(x-4)(x+1)$ is odd, even, or neither.

Find the values of the variables $d$ , $e$ , and $f$ that make the given equations true: $\left(2^{d}\right)^{4}=2^{12}$ , $3^{5} \cdot 7^{5}=e^{5}$ , and $5^{0} \cdot 5^{f}=5^{4}$ .

Find the intersection point of the linear equations $y = -6x + 2$ and $y = 3x - 7$ .

Find the quotient of 3 divided by 5/6. Determine which of the following is the correct answer: $3 \frac{2}{5}$ , $3 \frac{3}{6}$ , $3 \frac{3}{5}$ , or $3 \frac{5}{6}$ .

Find the missing value in the equation $12x + \square = 4(3x + 3)$ .

Find the value of $2^3 = 8$ .

Find the derivatives of $X$ , $3xe^x$ , and $xe^x$ .

Solve the equation $3a - 3 = 6a$ . Select the correct choice: A. $a = \frac{3}{3}$ , B. The solution is all real numbers, C. There is no solution.

Find the average rate of change of $f(x)=-x(x+2)(x-3)$ from $x=2$ to $x=3$ . This gives the drug concentration decrease rate in $\frac{\Delta f}{\Delta x}$ ppm/hour. State the integer answer.

Simplify the product of $\sqrt{18}$ and $\sqrt{63}$ .

Solve $2y^2 - 96 = 0$ for real $y$ . Round your answer(s) to the nearest hundredth. If there is more than one solution, list them separated by commas. If there is no solution, click "No solution".

Which equation is nonlinear? $y=x^{2}-4$ or $3y-5x=11$ ?

Find the gradient of the function $f(x, y) = x e^{xy^2} + \cos y^2$ .

Solve for $n$ using the distributive property: $13 \times 4 = n$ . Fill in the missing values in the table.

Solve the equation $-5=(x+7)^{\frac{1}{2}}-11$ for the value of $x$ .

Find rational function $f(x) = \frac{ax + b}{cx + d}$ with $x$ -intercept at $\frac{1}{2}$ , $y$ -intercept at $-\frac{4}{3}$ , vertical asymptote at $x = -1$ , and horizontal asymptote at $y = \frac{8}{3}$ .

Find the commission for sales of $\$ 720$ at a commission rate of $4\%$ .

Solve the equation $9 v - 8 v + 7 = 14$ .

Find the product of $P(x) = 4x$ and $R(x) = 4x - 6$ .

Evaluate $\frac{1}{6}b + \frac{11}{24}$ when $b = \frac{1}{4}$ , and simplify the expression.

Determine if the set of all symmetric $2 \times 2$ matrices, $W$ , is a subspace of $R^{2 \times 2}$ .

Simplify the fraction $\frac{195}{315}$ .

Find the eigenvalues of the $2 \times 2$ matrix $A = \left[\begin{array}{cc}3 & 0 \\ -1 & 8\end{array}\right]$ .

Graph $f(x) = x^2(4 - 5x)^3$ and estimate any relative extrema.

Solve for $w$ in the equation $3w + 4 = 22$ by subtracting the same number from both sides and then dividing.

A person weighs 186 lbs with $13.3\%$ body fat. Calculate the weight of their body fat, rounded to the nearest tenth.

Find the mean of the movie counts reported by 7 students: $\frac{13 + 12 + 7 + 13 + 13 + 9 + 16}{7}$ . Round the result to the nearest tenth.

Solve for $D$ in the equation $18 + D = 8 + 6$ .

If a set of 3 vectors $\{v_1, v_2, v_3\}$ spans $\mathbb{R}^3$ , then it forms a basis for $\mathbb{R}^3$ . True or False?

Find the value of $y$ given the equation $y = a + b \ln x$ , where $a = 50.0391615882$ , $b = 9.67624973418$ , and $x = 19$ .

Simplify the expression $(0.9)^{2} - 0.4$ and calculate the result.

An elephant's heart beats $375$ times in $10$ minutes. Find the elephant's heart rate in beats per minute.

Find $y$ when $y$ varies directly as $x$ , and $y=18$ when $x=5$ , given $x=11$ .

Fundraiser raised $x in week 1,$ 283 in week 2, $350 in week 3, and$ 140 in week 4. Find $x$ given the total of $955. Show steps to solve.

Simplify the expression $e(e)(-5)$ .

Find the plane equation $ax + by + cz = 0$ that passes through the points $(1,0,2), (-1,1,-2)$ , and the origin.

Solve for $x$ in the equation $x(x-8)=0$ . Write the solutions as integers or simplified fractions.

Find the discriminant of the quadratic equation $-8x^2 - 9x - 1 = 0$ .

Solve for the variable $u$ in the equation $187 = 232 - u$ .

Find the range of the number of people who took the daily sightseeing trip around Florence over 9 summer days, where the number of people was $21, 26, 38, 47, 43, 18, 46, 21, 18$ .

Determine if the equation $-7+9=-9+7$ is true, false, or open.

Find the product of $\frac{5}{6}$ and $\frac{1}{2}$ , then shade the model to solve.

Determine reaction order, rate constant, and units for data: $[A](M)$ and $t(s)$ .

Find the unit rate for $\$ 9.60$ for 4 pounds. The unit rate is $\$ \frac{9.60}{4}$ per pound.

Find the mean score of $6$ students with scores $90$ , $17$ students with scores $80$ , and $13$ students with scores $70$ . Round the answer to at least one decimal place.

Determine $\cos(-405^\circ)$ using the unit circle. Define cosine function from unit circle point $(x, y)$ .

Solve for $u$ in the equation $3u = u + 8$ . Simplify the solution.

Find all complex solutions to the equation $x + 2 + \frac{5}{x} = 0$ .

Find the price of each pencil if 4 identical pencils cost $\$ 5.60$ .

Solve the trigonometric equation $16 \cos x + 10 = 18$ for $0 \leq x \leq 360^{\circ}$ .

Solve for $x$ in the equation $\frac{1}{9} x = 3$ .

Solve the absolute value equation $|6-2x| + 1 = 3$ for the unknown variable $x$ .

Solve for the variable $v$ in the equation $m-v=k$ .

Find the sum of two negative numbers: $-6.52 + (-9)$ .

Solve the equation $\sqrt{7x+2}-2x=0$ for the value of $x$ .

Solve the inequality $3x < 24$ and select the correct solution.

Multiply $2 i(-6 i+6)$ and write the expression in standard form. Choose the correct answer.

Rewrite $12x^2 - 36x + 28$ in the form $(4x - 4) \times q(x) + r(x)$ .

Find values of $y$ less than 5 on the number line range of -11 to 11.

Evaluate the integral of $\tan^3(x)\sec^6(x)$ and include the constant of integration.

To meet the required cylinder area of $11 \mathrm{in}^{2}$ within $0.01 \mathrm{in}^{2}$ , the cylinder diameter $x$ must be held in the interval $[3.730, 3.754]$ inches.

Solve the equation $9 c(c-11)+10(5 c-3)=3 c(c+5)+c(6 c-3)-30$ for $c$ .

Which expression shows a difference of squares? $10 y^{2}-4 x^{2}$ or $16 y^{2}-x^{2}$ ?

Find the value of $y$ given the equation $\frac{y}{5}=2$ .

Evaluate the expression $\frac{11^{-2}}{8^{2}}$ and write the result.

For each $x$ , find $f(x)=3^{(x+1)}$ . Complete the table with $f(-1)$ .