Browse Math problems in the Studdy Learning Bank!

Problem 4501

Classify the polynomial $f(x) = x^9 - x^7 - 3$ as even, odd, or neither. Classify the polynomial $f(x) = 2x^8 + 7x^5 - 9$ as even, odd, or neither.

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Problem 4502

Find the other point of intersection of a parabola $y=-2x^2+4x+3$ and a line with slope 1 through the $y$ -intercept.

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Problem 4503

Solve the equation $3^{x+2}=5^{x}$ and check the value of $y$ .

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Problem 4504

The fire covers $32 \mathrm{m}^{2}$ and increases by $17\%$ per hour. Find the area covered in $20$ hours, rounded to the nearest $1 \mathrm{m}^{2}$ .

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Problem 4505

Solve the equation $0.05p + 0.4 = 0.35p - 29.9$ and select "all real numbers" if applicable.

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Problem 4506

Simplify the product of $\sqrt{42}$ and $\sqrt{2}$ .

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Problem 4507

Determine if the given solution $x = \frac{3 \pm \sqrt{55 i}}{16}$ is correct for the system of equations $9x + 2 = 8x^2 + 6x$ and $-8x^2 + 3x + 2 = 0$ .

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Problem 4508

Simplify the square root of $(3/4)^9$ as a power.

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Problem 4509

Find all $x$ -intercepts of the function $f(x) = 3x^2 - 30x + 48$ .

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Problem 4510

Solve the linear equation $2x - 10 + 7x = -8 + 7x + 12$ .

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Problem 4511

Find the next term in the sequence: $3, 6, 12, 24, \ldots$

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Problem 4512

Solve the linear equation $30=4x+6$ for the value of $x$ .

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Problem 4513

Find the value of $p$ that satisfies the equation $6.7 p - 5.8 = -1.8 + 5.7 p$ .

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Problem 4514

Find the negative root, rounded to the nearest hundredth, of the quadratic equation $y=5x^2-8x-11$ .

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Problem 4515

What is the monthly rent for an apartment that costs $\$ 1400$ initially and increases by $\$ 70$ per year, during the 12th year?

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Problem 4516

Find the determinant of the matrix product of $A=\left[\begin{array}{ll}4 & 2\end{array}\right]$ and $B=\left[\begin{array}{c}-1 \\ 3\end{array}\right]$ .

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Problem 4517

Divide the complex number $\frac{-7-j 5}{-4+j 6}$ and write the result in $a+j b$ form. Round the final answers to 4 decimal places.
$a=$ $b=$

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Problem 4518

Find the approximate value of $y=\sqrt{4+\sin x}$ at $x=0.12$ .

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Problem 4519

Find $k$ given $\sqrt{8k} = 4i\sqrt{5}$

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Problem 4520

Identify all composite numbers among 44, 28, and 37.

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Problem 4521

Find the roots of the quadratic equation $16x^2 - 40x + 27 = 0$ in the form $a + bi$ .

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Problem 4522

Solve $6(v+1)=-18$ by choosing the best reason for each step. Simplify the equation to find the value of $v$ .

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Problem 4523

Solve for $b$ in the equation $-17b = -21$ . Express the solution as a fraction.

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Problem 4524

Find the limit of the given rational expression as $x$ approaches 3.

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Problem 4525

Find the value of $3^3 + 113$ modulo 3.

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Problem 4526

Solve the absolute value equation $\frac{|9 x|}{-4}=-72$ for $x$ .

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Problem 4527

Find the number whose quotient with 2 is 6. ( $2n = 6$ or $n/2 = 6$ )

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Problem 4528

Determine the most appropriate measurement tool to measure the length of a pencil: $a)$ Yardstick, $b)$ Inches, or $c)$ Meter Stick.

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Problem 4529

Find the value of $x$ in the equation $2: 7=x: 63$ .

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Problem 4530

Find the product of two quadratic expressions: $(5x^2 - 6)(4x^2 - 3)$ .

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Problem 4531

What is the set of all possible outcomes in a random experiment? (a) Sample space

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Problem 4532

Simplify the expression $\left(-\frac{y}{5 x}\right)^{-2}$ .

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Problem 4533

Simplify the expression $7s - 5 + 2s - 2$ .

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Problem 4534

Evaluate $8 \frac{5}{12}-6 \frac{1}{3}+4 \frac{5}{6}$ and write the answer as a mixed number in simplest form.

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Problem 4535

Find the missing number in the addition problem $0 + 858 = \square$ .

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Problem 4536

Solve the system of linear equations using the substitution method: $\text{tax}-2y=-16$ and $y=3x$ .

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Problem 4537

Round $0.0015289$ to 3 significant figures.

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Problem 4538

Find the number of seats per row given 800 seats in 8 rows.

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Problem 4539

Solve for $v$ in the equation $20+17v=-6+15v$ .

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Problem 4540

Find $\frac{dx}{dt}$ when $x=-2$ and $y=2$ given $y^2 + xy - 3x = 6$ and $\frac{dy}{dt} = -2$ .

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Problem 4541

Solve the exponential equation $125^{x+2}=\left(\frac{1}{5}\right)^{1-5 x}$ for the variable $x$ .

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Problem 4542

Solve for the value of $x$ in the given linear equation: $2(3x+4)=5x+3x-4$ .

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Problem 4543

Solve for the value of $c$ in the equation $10 + \frac{5}{12}c = 20$ .

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Problem 4544

Determine which expression is equivalent to $1+2/3$ : $3/2$ , None, or $5/3$ .

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Problem 4545

Find a linear function $f$ such that $f(-3)=1$ and $f(13)=5$ .

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Problem 4546

Find the value of $f(9)$ where $f(x) = \frac{x+3}{x-3}$ .

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Problem 4547

Determine constant $c$ so that $f(x) = c e^{-(2x+3)}$ is a valid probability distribution over $0.621 > x > 0.4379$ .

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Problem 4548

Calculate the gross profit for an item that cost $\$ 66$ and sold for $\$ 100$ . Gross Profit = $\$ [?]$ .

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Problem 4549

Write an equation using the points $(-4,-4)$ and $(0,2)$ .

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Problem 4550

Identify the equation that represents a direct variation between two variables.

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Problem 4551

Solve for $c$ in the equation $(5 c-7)(3 c+4)=0$ . Write the solution(s) as integers or simplified fractions.

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Problem 4552

Solve for $z$ given $\frac{x^{2}}{y}=z$ where $x=10$ and $y=25$ .

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Problem 4553

A figure has a perimeter of $16$ units. What is the perimeter after a dilation with a scale factor of $8$ ?

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Problem 4554

Create a stem-and-leaf display with $3 \le$ stem values $\le 10$ , $1 \le$ leaf values $\le 100$ , and at least $20$ leaf values between $5$ and $20$ .

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Problem 4555

Solve for the value of $c$ in the equation $3c + 2 = -10$ .

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Problem 4556

Find the value of $\nu$ using the formula $\nu=r \omega$ given $r=16$ m and $\omega=\frac{3 \pi}{4}$ rad/s. The missing variable is $\nu=\square$ m/s.

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Problem 4557

Evaluate the indefinite integral $\int(3 - 12 \sec^2 4x) dx$ .

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Problem 4558

Find the length of the longest diagonal in a right rectangular prism with dimensions 12.6 cm x 3.2 cm x 6 cm. The longest diagonal is $\sqrt{12.6^2 + 3.2^2 + 6^2}$ cm (rounded to the nearest tenth).

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Problem 4559

Find the cost of downloading $35$ songs given the equation $9.95+0.30s=c$ , where $s$ is the number of songs and $c$ is the cost in dollars.

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Problem 4560

Bilquis bought $\$ 60$ worth of popcorn and pretzels. Each popcorn costs $\$ 7.50$ and each pretzel costs $\$ 3.75$ . She bought 2 more bags of popcorn than pretzels. Find the number of popcorn, $x$ , and pretzels, $y$ , she bought.

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Problem 4561

Find the cube root of the product of $\sqrt[3]{2}$ and $5\sqrt[3]{12}$ .

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Problem 4562

Find the indefinite integral of $\cos^2 3x$ .

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Problem 4563

Find the product $(-6 x^{2} y^{3})(-14 x y^{4})$ in the form $C \cdot x^{a} \cdot y^{b}$ , where $C=1$ , $a=\square$ , and $b=\square$ . Partial credit available.

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Problem 4564

A student measured liquid volume as 26 $\mathrm{mL}$ , but the actual volume was 32 $\mathrm{mL}$ . Find the percent error.

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Problem 4565

Find the trigonometric ratios and angle $\theta$ when $\cos \theta = \frac{-4}{\sqrt{20}}$ and $0^{\circ} \leq \theta \leq 180^{\circ}$ .

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Problem 4566

Find the length of a pool with width 6 feet and perimeter $P=30$ feet using the formula $P=2L+2W$ .

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Problem 4567

Find the solution to the equation $\frac{3x+3}{x-3}=7$ .

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Problem 4568

Find the solution(s) to the equation $2 \ln (x) = \ln (x+2)$ .

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Problem 4569

Solve for y. Express answer as integer(s) or simplest radical form. $-7=-3y^3-7$

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Problem 4570

Find the missing operation in the equation $5\left(\frac{1}{2} q+3 r-4 s\right)-9 r=\frac{5}{2} q[\text { [blank] } 15 r-20 s$ to make it a true statement. Enter "+" for addition or "-" for subtraction.

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Problem 4571

Evaluate the integral $\int x \sec^{-1} x dx$ for $x \leq -1$ .

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Problem 4572

Given sets $A=\{2,3,5,7,11\}$ , $B=\{2,4,6,8,10\}$ , and $C=\{6,10,14,18,22\}$ , determine which statements are true.

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Problem 4573

Find the area of the region between $y=3\sin(x)$ and $y=4\cos(x)$ from $x=0$ to $x=0.6\pi$ . The region consists of two parts.

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Problem 4574

Find the value(s) of $w$ that satisfy the equation $-4(w+6)(-w+1)=0$ .

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Problem 4575

Calculate the integral $\int x \ln x d x$ . (3 marks for calculation, 3 marks for explanations, 6 marks total.)

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Problem 4576

(a) Find depth where light intensity is half of surface intensity $L$ . Depth = $D$ meters. (b) Light intensity at 11 m depth = $I = L \cdot e^{(-1.95 \cdot 11)}$ . (c) Find depth where light intensity is 2.4% of surface intensity $L$ . Depth = $D$ meters.

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Problem 4577

Find the sale price of an item originally priced at $\$ 42$ with a $15 \%$ discount.

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Problem 4578

Create a word problem to solve for $\frac{1}{3} \div 5 = x$ . Model the equation and find the value of $x$ .

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Problem 4579

Find the second derivative $f''(1)$ of a differentiable function $f$ satisfying $f'(x) + 3f(x^2) = f^2(x)$ for $x > 0$ and $f(1) = 5$ .

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Problem 4580

Solve the quadratic equation $10x^{2} - 25 = x^{2}$ , which is a difference of squares problem.

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Problem 4581

Find the capital (K) and labor (L) combinations that lie on the same isoquant for the production function $q=L^{2}K$ .

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Problem 4582

Solve the linear equation $3y + 4 = y + 16$ for the variable $y$ .

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Problem 4583

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

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Problem 4584

Add and simplify the expression $6 x^{3}-7 x^{2}+3 x-6 - (3 x^{3}-9 x^{2}+9)$ .

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Problem 4585

Solve for $x$ in the equation $4x = 48$ .

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Problem 4586

Find the discriminant of $f(x)=(x+3)(2x^2-x+5)$ and determine the number of real solutions to $f(x)=0$ .

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Problem 4587

Solve the linear equation $16d + 5 = -10$ for the value of $d$ .

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Problem 4588

Find the values of the polynomial $2x^2 + 5x + 5$ for $x=3$ and $x=-4$ . Simplify the result when $x=3$ .

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Problem 4589

Simplify the expression: $\frac{89}{100} \times 100\%$

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Problem 4590

Multiply the given rational expressions. Ensure $x \neq 0, \pm 4, \pm 2$ .

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Problem 4591

Find a point $(x,y)$ that satisfies the inequality $y \geq -2x - 7$ .

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Problem 4592

Solve the equation $m - \frac{36}{m} = -5$ for $m$ .

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Problem 4593

Determine the degree and type (linear or quadratic) of the functions $f(x)=-2 x(x+3)-3 x$ and $g(x)=7(5-x)$ .

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Problem 4594

Find the value of $3t-4$ when $t=5$ .

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Problem 4595

Find $x$ given $KL=3$ , $LM=2x$ , and $KM=x+9$ . Then, calculate $KM$ .

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Problem 4596

Find the number to make $x^2 + 6x + \square$ a perfect square.

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Problem 4597

Find the product of two binomials using the FOIL method: $(-5x-8)(-2x+1)$

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Problem 4598

Find the error in Mr. Greer's solution to the equation $4x = 8(2x - 3)$ and determine the correct solution.

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Problem 4599

Determine how the median changes when 15 is added to a data set of 5 numbers: [13, 24, 18, 12, 29]. The median can stay the same, decrease by 1.5, or increase by 1.5.

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Problem 4600

What is the owner's out-of-pocket cost for the $\$ 25,000.00$ foundation repair if the deductible is $\$ 2000.00$ ?

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Math

Problem 4501

Classify the polynomial f(x)=x9−x7−3f(x) = x^9 - x^7 - 3f(x)=x9−x7−3 as even, odd, or neither. Classify the polynomial f(x)=2x8+7x5−9f(x) = 2x^8 + 7x^5 - 9f(x)=2x8+7x5−9 as even, odd, or neither.

Problem 4502

Find the other point of intersection of a parabola y=−2x2+4x+3y=-2x^2+4x+3y=−2x2+4x+3 and a line with slope 1 through the yyy-intercept.

Problem 4503

Solve the equation 3x+2=5x3^{x+2}=5^{x}3x+2=5x and check the value of yyy.

Problem 4504

The fire covers 32m232 \mathrm{m}^{2}32m2 and increases by 17%17\%17% per hour. Find the area covered in 202020 hours, rounded to the nearest 1m21 \mathrm{m}^{2}1m2.

Problem 4505

Solve the equation 0.05p+0.4=0.35p−29.90.05p + 0.4 = 0.35p - 29.90.05p+0.4=0.35p−29.9 and select "all real numbers" if applicable.

Problem 4506

Simplify the product of 42\sqrt{42}42​ and 2\sqrt{2}2​.

Problem 4507

Determine if the given solution x=3±55i16x = \frac{3 \pm \sqrt{55 i}}{16}x=163±55i​​ is correct for the system of equations 9x+2=8x2+6x9x + 2 = 8x^2 + 6x9x+2=8x2+6x and −8x2+3x+2=0-8x^2 + 3x + 2 = 0−8x2+3x+2=0.

Problem 4508

Simplify the square root of (3/4)9(3/4)^9(3/4)9 as a power.

Problem 4509

Find all xxx-intercepts of the function f(x)=3x2−30x+48f(x) = 3x^2 - 30x + 48f(x)=3x2−30x+48.

Problem 4510

Solve the linear equation 2x−10+7x=−8+7x+122x - 10 + 7x = -8 + 7x + 122x−10+7x=−8+7x+12.

Problem 4511

Find the next term in the sequence: 3,6,12,24,…3, 6, 12, 24, \ldots3,6,12,24,…

Problem 4512

Solve the linear equation 30=4x+630=4x+630=4x+6 for the value of xxx.

Problem 4513

Find the value of ppp that satisfies the equation 6.7p−5.8=−1.8+5.7p6.7 p - 5.8 = -1.8 + 5.7 p6.7p−5.8=−1.8+5.7p.

Problem 4514

Find the negative root, rounded to the nearest hundredth, of the quadratic equation y=5x2−8x−11y=5x^2-8x-11y=5x2−8x−11.

Problem 4515

What is the monthly rent for an apartment that costs $1400\$ 1400$1400 initially and increases by $70\$ 70$70 per year, during the 12th year?

Problem 4516

Find the determinant of the matrix product of A=[42]A=\left[\begin{array}{ll}4 & 2\end{array}\right]A=[4​2​] and B=[−13]B=\left[\begin{array}{c}-1 \\ 3\end{array}\right]B=[−13​].

Problem 4517

Divide the complex number −7−j5−4+j6\frac{-7-j 5}{-4+j 6}−4+j6−7−j5​ and write the result in a+jba+j ba+jb form. Round the final answers to 4 decimal places.a=a=a= b=b=b=

Problem 4518

Find the approximate value of y=4+sin⁡xy=\sqrt{4+\sin x}y=4+sinx​ at x=0.12x=0.12x=0.12.

Problem 4519

Find kkk given 8k=4i5\sqrt{8k} = 4i\sqrt{5}8k​=4i5​

Problem 4520

Identify all composite numbers among 44, 28, and 37.

Problem 4521

Find the roots of the quadratic equation 16x2−40x+27=016x^2 - 40x + 27 = 016x2−40x+27=0 in the form a+bia + bia+bi.

Problem 4522

Solve 6(v+1)=−186(v+1)=-186(v+1)=−18 by choosing the best reason for each step. Simplify the equation to find the value of vvv.

Problem 4523

Solve for bbb in the equation −17b=−21-17b = -21−17b=−21. Express the solution as a fraction.

Problem 4524

Find the limit of the given rational expression as xxx approaches 3.

Problem 4525

Find the value of 33+1133^3 + 11333+113 modulo 3.

Problem 4526

Solve the absolute value equation ∣9x∣−4=−72\frac{|9 x|}{-4}=-72−4∣9x∣​=−72 for xxx.

Problem 4527

Find the number whose quotient with 2 is 6. (2n=62n = 62n=6 or n/2=6n/2 = 6n/2=6)

Problem 4528

Determine the most appropriate measurement tool to measure the length of a pencil: a)a)a) Yardstick, b)b)b) Inches, or c)c)c) Meter Stick.

Problem 4529

Find the value of xxx in the equation 2:7=x:632: 7=x: 632:7=x:63.

Problem 4530

Find the product of two quadratic expressions: (5x2−6)(4x2−3)(5x^2 - 6)(4x^2 - 3)(5x2−6)(4x2−3).

Problem 4531

What is the set of all possible outcomes in a random experiment? (a) Sample space

Problem 4532

Simplify the expression (−y5x)−2\left(-\frac{y}{5 x}\right)^{-2}(−5xy​)−2.

Problem 4533

Simplify the expression 7s−5+2s−27s - 5 + 2s - 27s−5+2s−2.

Problem 4534

Evaluate 8512−613+4568 \frac{5}{12}-6 \frac{1}{3}+4 \frac{5}{6}8125​−631​+465​ and write the answer as a mixed number in simplest form.

Problem 4535

Find the missing number in the addition problem 0+858=□0 + 858 = \square0+858=□.

Problem 4536

Solve the system of linear equations using the substitution method: tax−2y=−16\text{tax}-2y=-16tax−2y=−16 and y=3xy=3xy=3x.

Problem 4537

Round 0.00152890.00152890.0015289 to 3 significant figures.

Problem 4538

Find the number of seats per row given 800 seats in 8 rows.

Problem 4539

Solve for vvv in the equation 20+17v=−6+15v20+17v=-6+15v20+17v=−6+15v.

Problem 4540

Classify the polynomial $f(x) = x^9 - x^7 - 3$ as even, odd, or neither. Classify the polynomial $f(x) = 2x^8 + 7x^5 - 9$ as even, odd, or neither.

Find the other point of intersection of a parabola $y=-2x^2+4x+3$ and a line with slope 1 through the $y$ -intercept.

Solve the equation $3^{x+2}=5^{x}$ and check the value of $y$ .

The fire covers $32 \mathrm{m}^{2}$ and increases by $17\%$ per hour. Find the area covered in $20$ hours, rounded to the nearest $1 \mathrm{m}^{2}$ .

Solve the equation $0.05p + 0.4 = 0.35p - 29.9$ and select "all real numbers" if applicable.

Simplify the product of $\sqrt{42}$ and $\sqrt{2}$ .

Determine if the given solution $x = \frac{3 \pm \sqrt{55 i}}{16}$ is correct for the system of equations $9x + 2 = 8x^2 + 6x$ and $-8x^2 + 3x + 2 = 0$ .

Simplify the square root of $(3/4)^9$ as a power.

Find all $x$ -intercepts of the function $f(x) = 3x^2 - 30x + 48$ .

Solve the linear equation $2x - 10 + 7x = -8 + 7x + 12$ .

Find the next term in the sequence: $3, 6, 12, 24, \ldots$

Solve the linear equation $30=4x+6$ for the value of $x$ .

Find the value of $p$ that satisfies the equation $6.7 p - 5.8 = -1.8 + 5.7 p$ .

Find the negative root, rounded to the nearest hundredth, of the quadratic equation $y=5x^2-8x-11$ .

What is the monthly rent for an apartment that costs $\$ 1400$ initially and increases by $\$ 70$ per year, during the 12th year?

Find the determinant of the matrix product of $A=\left[\begin{array}{ll}4 & 2\end{array}\right]$ and $B=\left[\begin{array}{c}-1 \\ 3\end{array}\right]$ .

Divide the complex number $\frac{-7-j 5}{-4+j 6}$ and write the result in $a+j b$ form. Round the final answers to 4 decimal places.
$a=$ $b=$

Find the approximate value of $y=\sqrt{4+\sin x}$ at $x=0.12$ .

Find $k$ given $\sqrt{8k} = 4i\sqrt{5}$

Find the roots of the quadratic equation $16x^2 - 40x + 27 = 0$ in the form $a + bi$ .

Solve $6(v+1)=-18$ by choosing the best reason for each step. Simplify the equation to find the value of $v$ .

Solve for $b$ in the equation $-17b = -21$ . Express the solution as a fraction.

Find the limit of the given rational expression as $x$ approaches 3.

Find the value of $3^3 + 113$ modulo 3.

Solve the absolute value equation $\frac{|9 x|}{-4}=-72$ for $x$ .

Find the number whose quotient with 2 is 6. ( $2n = 6$ or $n/2 = 6$ )

Determine the most appropriate measurement tool to measure the length of a pencil: $a)$ Yardstick, $b)$ Inches, or $c)$ Meter Stick.

Find the value of $x$ in the equation $2: 7=x: 63$ .

Find the product of two quadratic expressions: $(5x^2 - 6)(4x^2 - 3)$ .

Simplify the expression $\left(-\frac{y}{5 x}\right)^{-2}$ .

Simplify the expression $7s - 5 + 2s - 2$ .

Evaluate $8 \frac{5}{12}-6 \frac{1}{3}+4 \frac{5}{6}$ and write the answer as a mixed number in simplest form.

Find the missing number in the addition problem $0 + 858 = \square$ .

Solve the system of linear equations using the substitution method: $\text{tax}-2y=-16$ and $y=3x$ .

Round $0.0015289$ to 3 significant figures.

Solve for $v$ in the equation $20+17v=-6+15v$ .

Find $\frac{dx}{dt}$ when $x=-2$ and $y=2$ given $y^2 + xy - 3x = 6$ and $\frac{dy}{dt} = -2$ .

Solve the exponential equation $125^{x+2}=\left(\frac{1}{5}\right)^{1-5 x}$ for the variable $x$ .

Solve for the value of $x$ in the given linear equation: $2(3x+4)=5x+3x-4$ .

Solve for the value of $c$ in the equation $10 + \frac{5}{12}c = 20$ .

Determine which expression is equivalent to $1+2/3$ : $3/2$ , None, or $5/3$ .

Find a linear function $f$ such that $f(-3)=1$ and $f(13)=5$ .

Find the value of $f(9)$ where $f(x) = \frac{x+3}{x-3}$ .

Determine constant $c$ so that $f(x) = c e^{-(2x+3)}$ is a valid probability distribution over $0.621 > x > 0.4379$ .

Calculate the gross profit for an item that cost $\$ 66$ and sold for $\$ 100$ . Gross Profit = $\$ [?]$ .

Write an equation using the points $(-4,-4)$ and $(0,2)$ .

Solve for $c$ in the equation $(5 c-7)(3 c+4)=0$ . Write the solution(s) as integers or simplified fractions.

Solve for $z$ given $\frac{x^{2}}{y}=z$ where $x=10$ and $y=25$ .

A figure has a perimeter of $16$ units. What is the perimeter after a dilation with a scale factor of $8$ ?

Create a stem-and-leaf display with $3 \le$ stem values $\le 10$ , $1 \le$ leaf values $\le 100$ , and at least $20$ leaf values between $5$ and $20$ .

Solve for the value of $c$ in the equation $3c + 2 = -10$ .

Find the value of $\nu$ using the formula $\nu=r \omega$ given $r=16$ m and $\omega=\frac{3 \pi}{4}$ rad/s. The missing variable is $\nu=\square$ m/s.

Evaluate the indefinite integral $\int(3 - 12 \sec^2 4x) dx$ .

Find the length of the longest diagonal in a right rectangular prism with dimensions 12.6 cm x 3.2 cm x 6 cm. The longest diagonal is $\sqrt{12.6^2 + 3.2^2 + 6^2}$ cm (rounded to the nearest tenth).

Find the cost of downloading $35$ songs given the equation $9.95+0.30s=c$ , where $s$ is the number of songs and $c$ is the cost in dollars.

Bilquis bought $\$ 60$ worth of popcorn and pretzels. Each popcorn costs $\$ 7.50$ and each pretzel costs $\$ 3.75$ . She bought 2 more bags of popcorn than pretzels. Find the number of popcorn, $x$ , and pretzels, $y$ , she bought.

Find the cube root of the product of $\sqrt[3]{2}$ and $5\sqrt[3]{12}$ .

Find the indefinite integral of $\cos^2 3x$ .

Find the product $(-6 x^{2} y^{3})(-14 x y^{4})$ in the form $C \cdot x^{a} \cdot y^{b}$ , where $C=1$ , $a=\square$ , and $b=\square$ . Partial credit available.

A student measured liquid volume as 26 $\mathrm{mL}$ , but the actual volume was 32 $\mathrm{mL}$ . Find the percent error.

Find the trigonometric ratios and angle $\theta$ when $\cos \theta = \frac{-4}{\sqrt{20}}$ and $0^{\circ} \leq \theta \leq 180^{\circ}$ .

Find the length of a pool with width 6 feet and perimeter $P=30$ feet using the formula $P=2L+2W$ .

Find the solution to the equation $\frac{3x+3}{x-3}=7$ .

Find the solution(s) to the equation $2 \ln (x) = \ln (x+2)$ .

Solve for y. Express answer as integer(s) or simplest radical form. $-7=-3y^3-7$

Find the missing operation in the equation $5\left(\frac{1}{2} q+3 r-4 s\right)-9 r=\frac{5}{2} q[\text { [blank] } 15 r-20 s$ to make it a true statement. Enter "+" for addition or "-" for subtraction.

Evaluate the integral $\int x \sec^{-1} x dx$ for $x \leq -1$ .

Given sets $A=\{2,3,5,7,11\}$ , $B=\{2,4,6,8,10\}$ , and $C=\{6,10,14,18,22\}$ , determine which statements are true.

Find the area of the region between $y=3\sin(x)$ and $y=4\cos(x)$ from $x=0$ to $x=0.6\pi$ . The region consists of two parts.

Find the value(s) of $w$ that satisfy the equation $-4(w+6)(-w+1)=0$ .