Math Statement

Problem 22801

$4,321 \div 22$

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Problem 22802

Simplify. Assume all variables are positive. $\left(y^{\frac{2}{3}}\right)^2$ Write your answer in the form $A$ or $\frac{A}{B}$ .

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Problem 22803

$\sum_{n=1}^{\infty} \left( \frac{1}{\sqrt{n+4}} - \frac{1}{\sqrt{n+3}} \right)$

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Problem 22804

Simplify the following. $\sqrt{300}$

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Problem 22805

$x(t) = at + b$ , where $a$ and $b$ are both nonzero.
Find the acceleration of the bug at any given time $t$ .

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Problem 22806

Find the value of $(f \circ g)(2)$ $f(x) = 5x + 2$ and $g(x) = 3x - 4$

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Problem 22807

$(cd)^{-\frac{1}{3}}$ Simplify. Assume all variables Write your answer in the that have no variables in

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Problem 22808

Solve $(w+1)^{2}-75=0$ , where $w$ is a real number. Simplify your answer as much as possible. If there is more than one solution, separate them with cor If there is no solution, click "No solution." $w=$

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Problem 22809

Evaluate the given definite integral. $\int_{-5}^{3} (3w - 4)(5w + 1) dw =$

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Problem 22810

If the demand function for math anxiety pills is $p = D(x) = \sqrt{16 - 2x}$ , determine the consumer surplus at the market price of $\$2$ dollars.
Consumer surplus = ______ dollars Submit Answer

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Problem 22811

8. $y = -\frac{3}{2}x - 4$

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Problem 22812

Divide. $\frac{3}{7 x^{2}-q} \div \frac{21}{21 x^{2}-3 q}$ $\frac{3}{7 x^{2}-q} \div \frac{21}{21 x^{2}-3 q}=$ $\square$ (Simplify your answer.)

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Problem 22813

Determine the following limit. $\lim_{w \to \infty} \frac{10w^2 + 7w + 3}{\sqrt{25w^4 + 5w^3}}$
Select the correct choice, and, if necessary, fill in the answer box to complete your choice. A. \lim_{w \to \infty} \frac{10w^2 + 7w + 3}{\sqrt{25w^4 + 5w^3}} = \text{________} (Simplify your answer.) B. The limit does not exist and is neither $\infty$ nor $-\infty$ .

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Problem 22814

$3\sqrt[4]{6y^4} \cdot 9\sqrt[4]{35x^4y^4}$

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Problem 22815

Find the solution of the exponential equation. (Enter your answers as a comn $\begin{array}{l} 6^{4 x-5}=6^{4+7 x} \\ x=\frac{9}{11} \end{array}$ Need Help? Watch It

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Problem 22816

Solve the equation. Show all work $5(x+1)=9 x+3-3 x$

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Problem 22817

2. $3(x+1)^{2}-3=0$ . .xis of symmetry: Vertex: Solution(s):

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Problem 22818

$3 x-4=12$

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Problem 22819

Evaluate the expression $(-6+7 i)+(-8-1 i)$ and write the result in the form $a+b i$ . The real number $a$ equals $\square$ The real number $b$ equals $\square$

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Problem 22820

Divide. Draw a quick picture to help.
9. $14 \div 3$
10. $5\overline{)29}$

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Problem 22821

For numbers 3-6, simplify.
3. $\sqrt{-32}$ $32 / i$

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Problem 22822

Solve the compound or inequality. $2 x+7<3 \text { or } 7+x>9$
The solution set of the compound inequality is $\square$ (Type your answer in interval notation.)

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Problem 22823

Complete the pattern: $10 \div \boxed{\phantom{00}} = 5$ $\boxed{\phantom{0000}} \div 2 = 50$ $1,000 \div 2 = \boxed{\phantom{0000}}$

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Problem 22824

Multiply. $\frac{1}{2} \times \frac{1}{4} = \boxed{\phantom{000}}$

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Problem 22825

Solve the compound and inequality. $2(x+2)-3>5 \text { and } 3(2 x+1)+2<11$
Select the correct choice below and, if necessary, fill in the answer box to complete $y$ A. The solution set is $\square$

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Problem 22826

Divide. Give the exact $3.45 \div 3 =$

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Problem 22827

iny solutions. Show your work $93+12 x=3(1-4 x)+96$

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Problem 22828

15. If $T: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2}$ is a linear transformation such that $T\left[\begin{array}{l} 1 \\ 4 \end{array}\right]=\left[\begin{array}{r} -2 \\ 22 \end{array}\right] \quad \text { and } \quad T\left[\begin{array}{r} 2 \\ -3 \end{array}\right]=\left[\begin{array}{r} 18 \\ -11 \end{array}\right]$ find the matrix that induces this transformation.

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Problem 22829

Question 4 (Mandatory) (1 point) Determine the values of $a$ , $h$ , and $k$ that make the equation. $-3x^2 + 9x - 6 = a(x - h)^2 + k$ .

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Problem 22830

Convert the angle to D°M'S'' form.
$48.42^\circ$
$48.42^\circ = \Box^\circ \Box' \Box ''$
(Round to the nearest second as needed.)

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Problem 22831

$\left(\frac{1}{2}\right)^{1} + \left(\frac{1}{2}\right)^{2} + \left(\frac{1}{2}\right)^{3} + \left(\frac{1}{2}\right)^{4} + \left(\frac{1}{2}\right)^{5} + \dots$ Determine if the series converges or diverges. If it converges, find its

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Problem 22832

Question 8 (Mandatory) (1 point) Use the quadratic formula to solve $-6x^2 + 5x + 8 = 0$ . Round your answer to two decimal places.

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Problem 22833

Question 9 (Mandatory) (1 point) What is the factored form of $x^2 + 2x + 1$

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Problem 22834

Question 10 (Mandatory) (1 point) Which equation represents $y = -2x^2 - 12x - 7$ in vertex form?

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Problem 22835

Question 11 (Mandatory) (1 point) Determine which coordinate is the vertex of $f(x) = 4x^2 - 8x + 11$ without graphing the parabola.

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Problem 22836

Question 8 (1 point) $\frac{1}{\cot ^{2} \theta}+\sec \theta \cos \theta$ $\csc ^{2} \theta$ $\tan ^{2} \theta$ $\sec ^{2} \theta$ 1

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Problem 22837

Given the demand equation $Qdy = 200 - 2P_y + 3P_x$ , determine if goods $X$ and $Y$ are substitutes or complements.

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Problem 22838

Find the limit as $x$ approaches 3 for the expression $5x^{2} + 4x + 2$ .

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Problem 22839

Solve the initial value problem: $y'' + 18x = 0$ , with $y(0) = 2$ and $y'(0) = 2$ . Find $y = \quad: \cdots \quad:$

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Problem 22840

Solve the equations: $2 \sqrt{x+8}=4$ , $\sqrt{3 x+6}-9=0$ , and $\frac{2 \sqrt{2 x-8}}{4}=\sqrt{2 x+6}=\sqrt{-2 x+15}$ .

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Problem 22841

Evaluate the limit: $\lim _{x \rightarrow 196} \frac{\sqrt{x}-14}{x-196}$ to three decimal places or state DNE.

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Problem 22842

Solve the initial value problem: $y'' + 18x = 0$ , with $y(0) = 2$ and $y'(0) = 2$ . Find $y =$ .

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Problem 22843

Simplify the square root: $\sqrt{64}$ .

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Problem 22844

Solve the initial value problem: $y^{\prime \prime}+18 x=0$ , with $y(0)=2$ , $y^{\prime}(0)=2$ . Find $y=...$

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Problem 22845

Find all values of $r$ for which $y=r x^{2}$ satisfies the equation $y^{\prime}=9 x$ . Enter answers as a list. $r=$

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Problem 22846

Simplify the square root: $\sqrt{256}$ .

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Problem 22847

Evaluate the limit or state if it doesn't exist: $\lim _{x \rightarrow 0} \frac{\sin (15 x)}{x}=$ (3 decimal places or DNE)

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Problem 22848

Find $f(99)$ given the function $f(x)=5-\frac{x}{99}$ .

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Problem 22849

Find the average rate of change of $f(t)=t^{2}-2t$ from $t=2$ to $t=5$ . Show your work.

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Problem 22850

Evaluate the integral using substitution: $\int -x(5-8x)^{5} \, dx = C$ .

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Problem 22851

In triangle $ABC$ , with $a=7$ and $c=14$ , find side $b$ using the Pythagorean theorem and calculate $\sin B$ and $\cos B$ .

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Problem 22852

$\sin 19^{\circ} = \cos(71)$ (since $71 = 90 - 19$ ).

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Problem 22853

Rewrite $\sec 77^{\circ}$ using its cofunction. What is the simplified answer? $\sec 77^{\circ}=\square$

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Problem 22854

Rewrite $\cot 18.6^{\circ}$ using its cofunction. What is $\cot 18.6^{\circ}=$ ? (Provide a simplified answer without the degree symbol.)

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Problem 22855

Find the wavelength of a photon with energy $6.89 \times 10^{-19} \mathrm{~J}$ .

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Problem 22856

Express $\sin \left(\alpha+10\right)$ using its cofunction for acute angles. Simplify your answer.

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Problem 22857

Express $\sec \left(\beta+20\right)$ using cofunctions for acute angles. Simplify your answer.

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Problem 22858

Find the limit: $\lim_{x \rightarrow -6} \frac{x+6}{x^{2}+x-30}$ and give your answer to three decimal places.

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Problem 22859

Express $\sec(\alpha + 10)$ using its cofunction for acute angles. Simplify your answer without the degree symbol.

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Problem 22860

Solve the equation for acute angles: $\sec \alpha=\csc \left(\alpha+10^{\circ}\right)$ . Find $\alpha=$ (integer or decimal).

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Problem 22861

Find the one-sided limit: $\lim _{x \rightarrow 0^{-}} \frac{2 \sin (x)}{3|x|}$ to three decimal places.

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Problem 22862

Find an acute angle $\beta$ that satisfies the equation $\sec(4\beta + 24^\circ) = \csc(\beta - 4^\circ)$ .

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Problem 22863

Find the one-sided limit: $\lim _{x \rightarrow 7^{+}} \frac{x+9}{x-7}=$ (Enter DNE if it doesn't exist.)

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Problem 22864

Solve for acute angle $\beta$ in the equation: $\sec(4\beta - 25^{\circ}) = \csc(2\beta + 7^{\circ})$ .

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Problem 22865

Solve for the acute angle $\beta$ in the equation: $\sec(2\beta + 25^{\circ}) = \csc(\beta + 8^{\circ})$ .

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Problem 22866

Solve for $\beta$ in the equation: $\sec(4\beta - 25^\circ) = \csc(2\beta + 7^\circ)$ , where all angles are acute.

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Problem 22867

Calculate $200 - (19 - 5 + 6)^{2} \div 8$ .

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Problem 22868

Find the exact value of $\tan 30^{\circ}$ . Simplify your answer using integers, fractions, or radicals.

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Problem 22869

Calculate the exact value of $\sec 30^{\circ}$ . Simplify your answer with integers or fractions.

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Problem 22870

Find the left and right limits of $\frac{7 x}{x-2}$ as $x$ approaches 2: $\lim _{x \rightarrow 2^{+}}$ and $\lim _{x \rightarrow 2^{-}}$ .

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Problem 22871

Berechne die Quadratwurzel von 2: $\sqrt{2}$

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Problem 22872

Find the area $A$ using the formula $A = \frac{1}{2} b h$ with $b = 6$ and $h = 5$ .

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Problem 22873

Calculate $6(n-4)$ for $n=6$ .

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Problem 22874

Solve for $a$ in the equation $a+(a+4)+(2 a-3)=13$ .

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Problem 22875

Solve the equation $2(y-3)=12$ for $y$ .

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Problem 22876

Solve for $m$ in the equation $8(m-1)=8$ .

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Problem 22877

Solve for $x$ in the equation: $-2(4x - 3) = -14$ .

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Problem 22878

Solve for $x$ in the equation $5 = x + 2 \frac{1}{3}$ .

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Problem 22879

Simplify the expression: $\frac{1+\frac{1}{x+7}}{1-\frac{1}{x+7}}$ .

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Problem 22880

Solve the equations: A. $-5 t=30$ , B. $2 x=14$ , C. $\frac{x}{7}=-4$ , D. $\frac{3}{5} p=12$ .

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Problem 22881

Solve for $b$ in the equation: $b - 3.12 = 5.23$ .

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Problem 22882

Solve the equation for x: $2 x = 14$ .

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Problem 22883

Solve for $t$ in the equation $-5t = 30$ .

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Problem 22884

Solve for $p$ in the equation $\frac{3}{5} p=12$ .

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Problem 22885

Solve for $s$ in the equation $\frac{s}{5}=10$ .

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Problem 22886

Find the number such that $\frac{30}{x} = 6$ .

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Problem 22887

Find the number $c$ such that $9c = 27$ .

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Problem 22888

Solve for $j$ in the equation $\frac{j+2}{6}=1$ .

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Problem 22889

Solve for n in the equation: $\frac{2 n+8}{3}-8=32$ .

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Problem 22890

Solve the equation: $-4(r-2)+6r=36$ .

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Problem 22891

Solve the equation: $3p + 7 - 2p + 5 = -1$

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Problem 22892

Solve for $x$ in the equation $\frac{2}{3} x + 6 = 26$ .

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Problem 22893

Find the complete set of solutions for $3 x^{3}+9 x^{2}-54 x=0$ : $0,3,-6$ , $0$ , no solutions, or $0,-3,6$ .

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Problem 22894

Which pattern helps factor $16 x^{8}-49 x^{2}$ ? Options: difference of squares, perfect squares, or neither.

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Problem 22895

Factor the polynomial $50 x^{5}-32 x=0$ and find the solutions for $x$ .

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Problem 22896

Graph the piecewise function $f(x)=\left\{\begin{aligned} x, & x<\frac{1}{2} \\ 3 x-1, & x \geq \frac{1}{2} .\end{aligned}\right.$ and find its domain and range.

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Problem 22897

Solve for $x$ : $(x+2)^{7/5} = 128$ . What is $x$ ?

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Problem 22898

Evaluate $16^{-1 / 4}$ without a calculator. Provide an integer, simplified fraction, or DNE if not real.

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Problem 22899

Solve $\sqrt{t}+3=\sqrt{t+9}$ . Find $t$ as an integer or simplified fraction A/B.

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Problem 22900

Solve for $k$ in the equation: $k^{2}-16=6 k^{3}-96 k$ . Provide integer or simplified fraction solutions, separated by commas.

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1 ...226 227 228 229 230 231 232 ...269

Math Statement

Problem 22801

4,321÷224,321 \div 224,321÷22

Problem 22802

Simplify. Assume all variables are positive. (y23)2\left(y^{\frac{2}{3}}\right)^2(y32​)2 Write your answer in the form AAA or AB\frac{A}{B}BA​.

Problem 22803

∑n=1∞(1n+4−1n+3)\sum_{n=1}^{\infty} \left( \frac{1}{\sqrt{n+4}} - \frac{1}{\sqrt{n+3}} \right)n=1∑∞​(n+4​1​−n+3​1​)

Problem 22804

Simplify the following. 300\sqrt{300}300​

Problem 22805

x(t)=at+bx(t) = at + bx(t)=at+b, where aaa and bbb are both nonzero.Find the acceleration of the bug at any given time ttt.

Problem 22806

Find the value of (f∘g)(2)(f \circ g)(2)(f∘g)(2) f(x)=5x+2f(x) = 5x + 2f(x)=5x+2 and g(x)=3x−4g(x) = 3x - 4g(x)=3x−4

Problem 22807

(cd)−13 (cd)^{-\frac{1}{3}} (cd)−31​ Simplify. Assume all variables Write your answer in the that have no variables in

Problem 22808

Solve (w+1)2−75=0(w+1)^{2}-75=0(w+1)2−75=0, where www is a real number. Simplify your answer as much as possible. If there is more than one solution, separate them with cor If there is no solution, click "No solution." w=w=w=

Problem 22809

Evaluate the given definite integral. ∫−53(3w−4)(5w+1)dw=\int_{-5}^{3} (3w - 4)(5w + 1) dw = ∫−53​(3w−4)(5w+1)dw=

Problem 22810

If the demand function for math anxiety pills is p=D(x)=16−2xp = D(x) = \sqrt{16 - 2x}p=D(x)=16−2x​, determine the consumer surplus at the market price of $2\$2$2 dollars.Consumer surplus = ______ dollars Submit Answer

Problem 22811

8. y=−32x−4y = -\frac{3}{2}x - 4y=−23​x−4

Problem 22812

Divide. 37x2−q÷2121x2−3q\frac{3}{7 x^{2}-q} \div \frac{21}{21 x^{2}-3 q}7x2−q3​÷21x2−3q21​ 37x2−q÷2121x2−3q=\frac{3}{7 x^{2}-q} \div \frac{21}{21 x^{2}-3 q}=7x2−q3​÷21x2−3q21​= □\square□ (Simplify your answer.)

Problem 22813

Problem 22814

36y44⋅935x4y443\sqrt[4]{6y^4} \cdot 9\sqrt[4]{35x^4y^4}346y4​⋅9435x4y4​

Problem 22815

Find the solution of the exponential equation. (Enter your answers as a comn 64x−5=64+7xx=911\begin{array}{l} 6^{4 x-5}=6^{4+7 x} \\ x=\frac{9}{11} \end{array}64x−5=64+7xx=119​​ Need Help? Watch It

Problem 22816

Solve the equation. Show all work 5(x+1)=9x+3−3x5(x+1)=9 x+3-3 x5(x+1)=9x+3−3x

Problem 22817

2. 3(x+1)2−3=03(x+1)^{2}-3=03(x+1)2−3=0 . .xis of symmetry: Vertex: Solution(s):

Problem 22818

3x−4=123 x-4=123x−4=12

Problem 22819

Evaluate the expression (−6+7i)+(−8−1i)(-6+7 i)+(-8-1 i)(−6+7i)+(−8−1i) and write the result in the form a+bia+b ia+bi. The real number aaa equals □\square□ The real number bbb equals □\square□

Problem 22820

Divide. Draw a quick picture to help.9. 14÷314 \div 314÷310. 5)29‾5\overline{)29}5)29​

Problem 22821

For numbers 3-6, simplify.3. −32\sqrt{-32}−32​ 32/i32 / i32/i

Problem 22822

Solve the compound or inequality. 2x+7<3 or 7+x>92 x+7<3 \text { or } 7+x>92x+7<3 or 7+x>9The solution set of the compound inequality is □\square□ (Type your answer in interval notation.)

Problem 22823

Complete the pattern: 10÷00=510 \div \boxed{\phantom{00}} = 510÷00​=5 0000÷2=50\boxed{\phantom{0000}} \div 2 = 500000​÷2=50 1,000÷2=00001,000 \div 2 = \boxed{\phantom{0000}}1,000÷2=0000​

Problem 22824

Multiply. 12×14=000\frac{1}{2} \times \frac{1}{4} = \boxed{\phantom{000}}21​×41​=000​

Problem 22825

Solve the compound and inequality. 2(x+2)−3>5 and 3(2x+1)+2<112(x+2)-3>5 \text { and } 3(2 x+1)+2<112(x+2)−3>5 and 3(2x+1)+2<11Select the correct choice below and, if necessary, fill in the answer box to complete yyy A. The solution set is □\square□

Problem 22826

Divide. Give the exact 3.45÷3=3.45 \div 3 =3.45÷3=

Problem 22827

iny solutions. Show your work 93+12x=3(1−4x)+9693+12 x=3(1-4 x)+9693+12x=3(1−4x)+96

Problem 22828

Problem 22829

Question 4 (Mandatory) (1 point) Determine the values of aaa, hhh, and kkk that make the equation. −3x2+9x−6=a(x−h)2+k-3x^2 + 9x - 6 = a(x - h)^2 + k−3x2+9x−6=a(x−h)2+k.

Problem 22830

Convert the angle to D°M'S'' form.48.42∘48.42^\circ48.42∘48.42∘=□∘□′□′′48.42^\circ = \Box^\circ \Box' \Box ''48.42∘=□∘□′□′′(Round to the nearest second as needed.)

Problem 22831

Problem 22832

Question 8 (Mandatory) (1 point) Use the quadratic formula to solve −6x2+5x+8=0-6x^2 + 5x + 8 = 0−6x2+5x+8=0. Round your answer to two decimal places.

Problem 22833

Question 9 (Mandatory) (1 point) What is the factored form of x2+2x+1x^2 + 2x + 1x2+2x+1

Problem 22834

Question 10 (Mandatory) (1 point) Which equation represents y=−2x2−12x−7y = -2x^2 - 12x - 7y=−2x2−12x−7 in vertex form?

Problem 22835

Question 11 (Mandatory) (1 point) Determine which coordinate is the vertex of f(x)=4x2−8x+11f(x) = 4x^2 - 8x + 11f(x)=4x2−8x+11 without graphing the parabola.

Problem 22836

Question 8 (1 point) 1cot⁡2θ+sec⁡θcos⁡θ\frac{1}{\cot ^{2} \theta}+\sec \theta \cos \thetacot2θ1​+secθcosθ csc⁡2θ\csc ^{2} \thetacsc2θ tan⁡2θ\tan ^{2} \thetatan2θ sec⁡2θ\sec ^{2} \thetasec2θ 1

Problem 22837

Given the demand equation Qdy=200−2Py+3PxQdy = 200 - 2P_y + 3P_xQdy=200−2Py​+3Px​, determine if goods XXX and YYY are substitutes or complements.

Problem 22838

Find the limit as xxx approaches 3 for the expression 5x2+4x+25x^{2} + 4x + 25x2+4x+2.

Problem 22839

Solve the initial value problem: y′′+18x=0y'' + 18x = 0y′′+18x=0, with y(0)=2y(0) = 2y(0)=2 and y′(0)=2y'(0) = 2y′(0)=2. Find y=:⋯:y = \quad: \cdots \quad:y=:⋯:

Problem 22840

Solve the equations: 2x+8=42 \sqrt{x+8}=42x+8​=4, 3x+6−9=0\sqrt{3 x+6}-9=03x+6​−9=0, and 22x−84=2x+6=−2x+15\frac{2 \sqrt{2 x-8}}{4}=\sqrt{2 x+6}=\sqrt{-2 x+15}422x−8​​=2x+6​=−2x+15​.

Problem 22841

Evaluate the limit: lim⁡x→196x−14x−196\lim _{x \rightarrow 196} \frac{\sqrt{x}-14}{x-196}x→196lim​x−196x​−14​ to three decimal places or state DNE.

$4,321 \div 22$

Simplify. Assume all variables are positive. $\left(y^{\frac{2}{3}}\right)^2$ Write your answer in the form $A$ or $\frac{A}{B}$ .

$\sum_{n=1}^{\infty} \left( \frac{1}{\sqrt{n+4}} - \frac{1}{\sqrt{n+3}} \right)$

Simplify the following. $\sqrt{300}$

$x(t) = at + b$ , where $a$ and $b$ are both nonzero.
Find the acceleration of the bug at any given time $t$ .

Find the value of $(f \circ g)(2)$ $f(x) = 5x + 2$ and $g(x) = 3x - 4$

$(cd)^{-\frac{1}{3}}$ Simplify. Assume all variables Write your answer in the that have no variables in

Solve $(w+1)^{2}-75=0$ , where $w$ is a real number. Simplify your answer as much as possible. If there is more than one solution, separate them with cor If there is no solution, click "No solution." $w=$

Evaluate the given definite integral. $\int_{-5}^{3} (3w - 4)(5w + 1) dw =$

If the demand function for math anxiety pills is $p = D(x) = \sqrt{16 - 2x}$ , determine the consumer surplus at the market price of $\$2$ dollars.
Consumer surplus = ______ dollars Submit Answer

8. $y = -\frac{3}{2}x - 4$

Divide. $\frac{3}{7 x^{2}-q} \div \frac{21}{21 x^{2}-3 q}$ $\frac{3}{7 x^{2}-q} \div \frac{21}{21 x^{2}-3 q}=$ $\square$ (Simplify your answer.)

$3\sqrt[4]{6y^4} \cdot 9\sqrt[4]{35x^4y^4}$

Find the solution of the exponential equation. (Enter your answers as a comn $\begin{array}{l} 6^{4 x-5}=6^{4+7 x} \\ x=\frac{9}{11} \end{array}$ Need Help? Watch It

Solve the equation. Show all work $5(x+1)=9 x+3-3 x$

2. $3(x+1)^{2}-3=0$ . .xis of symmetry: Vertex: Solution(s):

$3 x-4=12$

Evaluate the expression $(-6+7 i)+(-8-1 i)$ and write the result in the form $a+b i$ . The real number $a$ equals $\square$ The real number $b$ equals $\square$

Divide. Draw a quick picture to help.
9. $14 \div 3$
10. $5\overline{)29}$

For numbers 3-6, simplify.
3. $\sqrt{-32}$ $32 / i$

Solve the compound or inequality. $2 x+7<3 \text { or } 7+x>9$
The solution set of the compound inequality is $\square$ (Type your answer in interval notation.)

Complete the pattern: $10 \div \boxed{\phantom{00}} = 5$ $\boxed{\phantom{0000}} \div 2 = 50$ $1,000 \div 2 = \boxed{\phantom{0000}}$

Multiply. $\frac{1}{2} \times \frac{1}{4} = \boxed{\phantom{000}}$

Solve the compound and inequality. $2(x+2)-3>5 \text { and } 3(2 x+1)+2<11$
Select the correct choice below and, if necessary, fill in the answer box to complete $y$ A. The solution set is $\square$

Divide. Give the exact $3.45 \div 3 =$

iny solutions. Show your work $93+12 x=3(1-4 x)+96$

Question 4 (Mandatory) (1 point) Determine the values of $a$ , $h$ , and $k$ that make the equation. $-3x^2 + 9x - 6 = a(x - h)^2 + k$ .

Convert the angle to D°M'S'' form.
$48.42^\circ$
$48.42^\circ = \Box^\circ \Box' \Box ''$
(Round to the nearest second as needed.)

Question 8 (Mandatory) (1 point) Use the quadratic formula to solve $-6x^2 + 5x + 8 = 0$ . Round your answer to two decimal places.

Question 9 (Mandatory) (1 point) What is the factored form of $x^2 + 2x + 1$

Question 10 (Mandatory) (1 point) Which equation represents $y = -2x^2 - 12x - 7$ in vertex form?

Question 11 (Mandatory) (1 point) Determine which coordinate is the vertex of $f(x) = 4x^2 - 8x + 11$ without graphing the parabola.

Question 8 (1 point) $\frac{1}{\cot ^{2} \theta}+\sec \theta \cos \theta$ $\csc ^{2} \theta$ $\tan ^{2} \theta$ $\sec ^{2} \theta$ 1

Given the demand equation $Qdy = 200 - 2P_y + 3P_x$ , determine if goods $X$ and $Y$ are substitutes or complements.

Find the limit as $x$ approaches 3 for the expression $5x^{2} + 4x + 2$ .

Solve the initial value problem: $y'' + 18x = 0$ , with $y(0) = 2$ and $y'(0) = 2$ . Find $y = \quad: \cdots \quad:$

Solve the equations: $2 \sqrt{x+8}=4$ , $\sqrt{3 x+6}-9=0$ , and $\frac{2 \sqrt{2 x-8}}{4}=\sqrt{2 x+6}=\sqrt{-2 x+15}$ .

Evaluate the limit: $\lim _{x \rightarrow 196} \frac{\sqrt{x}-14}{x-196}$ to three decimal places or state DNE.

Solve the initial value problem: $y'' + 18x = 0$ , with $y(0) = 2$ and $y'(0) = 2$ . Find $y =$ .

Simplify the square root: $\sqrt{64}$ .

Solve the initial value problem: $y^{\prime \prime}+18 x=0$ , with $y(0)=2$ , $y^{\prime}(0)=2$ . Find $y=...$

Find all values of $r$ for which $y=r x^{2}$ satisfies the equation $y^{\prime}=9 x$ . Enter answers as a list. $r=$

Simplify the square root: $\sqrt{256}$ .

Evaluate the limit or state if it doesn't exist: $\lim _{x \rightarrow 0} \frac{\sin (15 x)}{x}=$ (3 decimal places or DNE)

Find $f(99)$ given the function $f(x)=5-\frac{x}{99}$ .

Find the average rate of change of $f(t)=t^{2}-2t$ from $t=2$ to $t=5$ . Show your work.

Evaluate the integral using substitution: $\int -x(5-8x)^{5} \, dx = C$ .

In triangle $ABC$ , with $a=7$ and $c=14$ , find side $b$ using the Pythagorean theorem and calculate $\sin B$ and $\cos B$ .

$\sin 19^{\circ} = \cos(71)$ (since $71 = 90 - 19$ ).

Rewrite $\sec 77^{\circ}$ using its cofunction. What is the simplified answer? $\sec 77^{\circ}=\square$

Rewrite $\cot 18.6^{\circ}$ using its cofunction. What is $\cot 18.6^{\circ}=$ ? (Provide a simplified answer without the degree symbol.)

Find the wavelength of a photon with energy $6.89 \times 10^{-19} \mathrm{~J}$ .

Express $\sin \left(\alpha+10\right)$ using its cofunction for acute angles. Simplify your answer.

Express $\sec \left(\beta+20\right)$ using cofunctions for acute angles. Simplify your answer.

Find the limit: $\lim_{x \rightarrow -6} \frac{x+6}{x^{2}+x-30}$ and give your answer to three decimal places.

Express $\sec(\alpha + 10)$ using its cofunction for acute angles. Simplify your answer without the degree symbol.

Solve the equation for acute angles: $\sec \alpha=\csc \left(\alpha+10^{\circ}\right)$ . Find $\alpha=$ (integer or decimal).

Find the one-sided limit: $\lim _{x \rightarrow 0^{-}} \frac{2 \sin (x)}{3|x|}$ to three decimal places.

Find an acute angle $\beta$ that satisfies the equation $\sec(4\beta + 24^\circ) = \csc(\beta - 4^\circ)$ .

Find the one-sided limit: $\lim _{x \rightarrow 7^{+}} \frac{x+9}{x-7}=$ (Enter DNE if it doesn't exist.)

Solve for acute angle $\beta$ in the equation: $\sec(4\beta - 25^{\circ}) = \csc(2\beta + 7^{\circ})$ .

Solve for the acute angle $\beta$ in the equation: $\sec(2\beta + 25^{\circ}) = \csc(\beta + 8^{\circ})$ .

Solve for $\beta$ in the equation: $\sec(4\beta - 25^\circ) = \csc(2\beta + 7^\circ)$ , where all angles are acute.

Calculate $200 - (19 - 5 + 6)^{2} \div 8$ .

Find the exact value of $\tan 30^{\circ}$ . Simplify your answer using integers, fractions, or radicals.

Calculate the exact value of $\sec 30^{\circ}$ . Simplify your answer with integers or fractions.

Find the left and right limits of $\frac{7 x}{x-2}$ as $x$ approaches 2: $\lim _{x \rightarrow 2^{+}}$ and $\lim _{x \rightarrow 2^{-}}$ .

Berechne die Quadratwurzel von 2: $\sqrt{2}$

Find the area $A$ using the formula $A = \frac{1}{2} b h$ with $b = 6$ and $h = 5$ .

Calculate $6(n-4)$ for $n=6$ .

Solve for $a$ in the equation $a+(a+4)+(2 a-3)=13$ .