Browse Math Statement problems Studdy Solved!

Problem 26301

Find the decimal approximation of $\cot \left(-260^{\circ} 23^{\prime}\right)$ rounded to seven decimal places.

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Problem 26302

Find $\theta$ in $[0^{\circ}, 90^{\circ}]$ such that $\sin \theta = 0.65303571$ . What is $\theta \approx$ ? Round to six decimal places.

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Problem 26303

Simplify the expression: $\frac{3 x-3 y}{3 y-3 x}$ . Choose A. 1, B. -3, C. 3, or D. -1.

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Problem 26304

Simplify the product: $\frac{x^{2}+x}{2} \cdot \frac{8}{x+1}$ . Select the correct answer.

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Problem 26305

Find the product and simplify: $\frac{z^{3}}{40 z} \cdot \frac{5}{2 z^{2}}$ . Options: A. $\frac{1}{16 z}$ B. $\frac{z}{16}$ C. $\frac{1}{16}$ D. $\frac{z^{3}}{16 z^{2}}$

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Problem 26306

Find the slope of the line given by the equation $12 x - 3 y = -21$ .

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Problem 26307

Find the $x$ -intercept and $y$ -intercept of the line $-x + 2y = 2$ . $x$ -intercept: 2, $y$ -intercept: ?

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Problem 26308

Find the slope-intercept form of a line with $x$ -intercept $=7$ and $y$ -intercept $=2$ .

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Problem 26309

Solve the system using Gaussian elimination and backward substitution. Find the ordered triple for $x$ , $y$ , $z$ :
$\begin{array}{rr} x+2y+4z= & 14 \\ -x+3y+4z= & 8 \\ x+y-5z= & -20 \end{array}$
Choose A, B, or C based on the solution type.

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Problem 26310

Find the quotient and simplify: $(y-4)^{2}/5 \div (5y-20)/25$ . Select one: A, B, C, or D.

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Problem 26311

To eliminate $x$ in the system below, if you multiply the first equation by 8, what should you multiply the second by?
$\begin{array}{l} -6 x+8 y=-5 \\ -8 x-13 y=0 \end{array}$

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Problem 26312

Find the $y$ -intercept and $x$ -intercept of the line: $5x - 6y = 30$ . What are the intercepts?

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Problem 26313

Find the solutions for $x^{2}=81$ using factoring methods.

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Problem 26314

Convierte el número decimal periódico $33, \overline{3} \%$ a fracción.

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Problem 26315

Solve the compound inequality: $3(z-1) \geq -3$ or $7-z \leq 9$ . Provide the solution set in interval notation.

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Problem 26316

Add and simplify: $\frac{2}{11+x}+\frac{x+6}{11+x}$ . Choose the correct answer from the options given.

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Problem 26317

Let $y=f(x)$ be a twice-differentiable function such that $f(1)=3$ and $\frac{d y}{d x}=4 \sqrt{y^{2}+7 x^{2}}$ . What is the value of $\frac{d^{2} y}{d x^{2}}$ at $x=1$ ? (A) 10 (B) 23 (C) 55 (D) 160

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Problem 26318

Step 1: $\quad$ Subtract the exponents of powers with like bases. $\left(\frac{x^{6} y}{2}\right)^{-2}$
Step 2: Apply the power of a product rule. $\frac{x^{-12} y^{-2}}{2^{-2}}$
Step 3: Write negative exponents as reciprocals using positive exponents. $\frac{1}{2^{2} x^{12} y^{2}}$
Step 4: Evaluate the power with the integer base. $\frac{1}{4 x^{12} y^{2}}$
In which step did Loi make the first error?

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Problem 26319

Which $x$ -value is a solution to $-6 x+8<-16 ?$

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Problem 26320

Order of Operations: Exercise 2 Grace
Date: $\qquad$ Girace Answer these questions in your notebook. Set up each question properly and show all work clearly.
1. $\left.8^{2}-3^{3}+4 \times 7-(6-(-2) \times(-4) \div 8 \times 31-1) \div 8-30 \div(-6)\right)-2^{5}$
2. $(-1)^{84} \div 5 \times 5+694 \div(7-16 \div 2)^{694}+(-3 \times(-8)-24) \times 13 \div 89+6-19$
3. $77 \times 8 \div 77 \times[16+(7 \times 2 \div 7 \times 2)-16+4]$
4. $98-(-77) \div(-7)+8-(6-3 \times 4)+(6+(-2)-(-5)+3-2)(8-(-6) \times 3)$
5. $(5-9+3)(-15 \div 8 \times 2 \div 3 \times 4+4)(1 \div 8 \times(-8))(6 \times 5-5)(3 \div 9 \times 9-(-2))(-4)$
6. $2369 \times 125 \div 23 \times(-4) \div(-1) \times 2-(25 \times 91 \times(-4) \div(-7) \times(-3)+(-12))$
7. $1 \div 22 \div 11 \times 121 \times(-6)-2(36 \div(-33) \times(-11) \div 4) \div(7-(-2)(-5))-(-7)-5$
8. $-60 \times 85 \div 3 \div(-85) \times 1443 \div 481 \times\left(2^{5}-4 \times 4\right)-(1-6)+5-7$
9. $5 \times 4 \times 3 \times 2 \times 1-0 \div 16 \times 27+(-17-3 \div 12 \times(-2) \div(-1) \times(-2)+5) \times(-7-(-5))$ $-3(8-19+2)-(-2-1)$
10. $3(9+6-9+6)-(-8) \div(-5) \times(-7 \times(-6)-(-6) \times(-4)+7)-(-1136)-1139$
11. $-9-(-12-16) \times 42 \div(-8) \div(-7)-(8-10)(-3+3) \div 97 \times 563-(-13)+2 \times 4$
12. $1 \div(-5) \times 3 \times 10-4(12-(-6) \times(-2)) \div 7 \times(-3)+3 \div 9 \times(9-3 \times 2)$
13. $-8 \times 37 \times(-5) \times 25-5 \times 17 \times(-5) \times 4 \times 3 \times 5 \times(-2)-(-12) \div 3-(-1)$
14. $(-2-7 \times 5)(5-3 \times 2)+(-5+3 \times(-2)) \times(-16) \div(-2)+(2-7)(-6+(-5) \div(-5))$ $+(3 \times(-5)-2 \times 2)(-24 \div 28 \times(-14) \div 6)-(-3) \times(-2)$
15. $(-3)^{3}-(-2)^{2} \div 7 \times(-3) \times 14 \div(-2)-(-3) \times\left(-2-3^{2} \times(-2)-6\right)^{76} \times(-1)^{181} \times(-2)^{3}$

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Problem 26321

$\begin{aligned} y & = 5 - \frac{x}{5} \\ D: & \leq x \leq \\ R: & \leq y \leq \end{aligned}$

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Problem 26322

Find the vertex, axis of symmetry (AOS), domain, range, and transformations of the function $f(x) = 3|x-2|$ .

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Problem 26323

$\frac{\sqrt{3 x} \cdot 3 x}{2}-\frac{2 x \cdot x^{2 / 3 \sqrt{3} x}}{2}$

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Problem 26324

7. (3 marks) Suppose that $h(x)=f(x g(x)), g(2)=-3$ , $f^{\prime}(-6)=4$ , and $g^{\prime}(2)=5$ . Find $h^{\prime}(2)$ .

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Problem 26325

Temukan nilai eigen dan vektor eigen dan matriks A -3 3 3-5 3 6-64

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Problem 26326

1. Temukan nilai eigen dan vektor eigen dari matriks $A=\left[\begin{array}{ccc}1 & -3 & 3 \\ 3 & -5 & 3 \\ 6 & -6 & 4\end{array}\right]$

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Problem 26327

Copy and complete the statement.
10. $6 \mathrm{gal} / \mathrm{min}=$ $\qquad$ $\mathrm{qt} / \mathrm{min}$
11. $5.3 \mathrm{~km} / \mathrm{h}=$ $\qquad$ $\mathrm{m} / \mathrm{h}$ Copyright $\odot$ Big Ideas Learning, LLC

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Problem 26328

$\frac{4}{5}=\frac{\square}{30}$ and $\frac{5}{6}=\frac{\square}{30}$ , so $\frac{4}{5}$ is $\square$ than $\frac{5}{6}$

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Problem 26329

QUESTION 2 Multiply and simplify completely. $(2-\sqrt{6})(4+\sqrt{6})$ $\square$

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Problem 26330

Use the Quadratic Formula to solve the equation $x^{2}-8 x+61=0$ $x=$ $\square$ (Separate answers by a comma. Write answers as integers or reduced fractions.)
If the answer is radical use sqrt(5) to denote $\sqrt{5}$ (use the correct radicand in the problem!) If the answer is complex use $i$ to denote $i$ . Question Help: $\square$ Message instructor Submit Question Jump to Answer

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Problem 26331

Simpliby mo expression $x^{4} y^{3} \cdot x^{2} y^{8}$

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Problem 26332

Radicals
Use the product rule to simplify the radical. $\begin{array}{c} \sqrt{54} \\ \sqrt{54}=\square \end{array}$ $\square$ (Simplify your answer. Type an exact answer, using radicals as needed.)

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Problem 26333

d) $210=40(1.5)^{x}$

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Problem 26334

LATIHAN
1. Temukan nilai eigen dan vektor eigen dari matriks $A=\left[\begin{array}{ccc}1 & -3 & 3 \\ 3 & -5 & 3 \\ 6 & -6 & 4\end{array}\right]$
2. Temukan nilai eigen dan vektor eigen dari matriks $A=\left[\begin{array}{cc}0 & 1 \\ -2 & -3\end{array}\right]$

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Problem 26335

18. Solve the following inequality algebraically $|2 x-6|<7$

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Problem 26336

$3(x+2)=21$

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Problem 26337

The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your onswer. How could you correctly rewrite the equation $4(5+3)=2(22-6)$ using the distributive property? $20+12=44-12$

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Problem 26338

Solve for $a$ . Express your answer in simplest radical form if necessary. $a^{3}=78$
Answer Attempt 1 out of 2

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Problem 26339

(4) What is $x$ ?
$x^{2}=169$ $\square$ $\begin{array}{l} x=-84.5 \\ x=-16 \end{array}$ $\qquad$ $\begin{array}{l} \hat{x}=-16 \\ x=-13 \end{array}$ $\square$ $x=13$
$x=16$ $\qquad$ $x=84.5$

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Problem 26340

78. If $f(x)=\ln (x)$ and $g$ is a differentiable function with domain $x>0$ such that $\lim _{x \rightarrow \infty} g(x)=\infty$ and $g^{\prime}$ has a horizontal asymptote at $y=4$ then $\lim _{x \rightarrow \infty} \frac{f(x)}{g(x)}$ is A. 0 B. -4 C. 4 D. nonexistent

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Problem 26341

Find the horizontal asymptote, if any, of the graph of the rational function. $h(x)=\frac{11 x^{3}}{5 x^{2}+8}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choi A. The horizontal asymptote is $\square$ . (Type an equation.) B. There is no horizontal asymptote.

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Problem 26342

Find the horizontal asymptote, if any, of the graph of the rational function. $f(x)=\frac{-6 x+7}{5 x+4}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The horizontal asymptote is $\square$ . (Type an equation. Simplify your answer. Use integers or fractions for any numbers in the equation.) B. There is no horizontal asymptote.

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Problem 26343

$\begin{array}{l}6(w+1)-3 w=3(w+4 \\ 2(3 a-1)=4 a+10 \\ 7 b-3(b+2)=4 b-11 \\ 5(c-2)+3 c=4(2 c+1\end{array}$

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Problem 26344

Given $x>0$ and $y>0$ , select the expression that is equivalent to $\sqrt[4]{256 x^{16} y^{6}}$

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Problem 26345

Graph the function. $f(x)=\sqrt{x}-7$

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Problem 26346

90. What is the absolute minimum value of $y=\frac{4}{3} x^{3}-8 x^{2}+15 x$ on $1 \leq x \leq 3$ ? A. 0 $f(x)^{1}=4 x^{2}-16 x+15$ B. $\frac{25}{3}$ C. 9 $\begin{array}{ll} f(1)=\frac{25}{3} & 4 x^{2}-10 x-6 x+15 \\ 1(3)=9 & 2 x(2 x-5)-3(2 x-5) \end{array}$ D. $\frac{52}{3}$ $\begin{array}{ll} f(3)=9 & 2 x(2 x-5)-3(2 x-5 \\ f \mid 5)=\frac{25}{3} & (2 x-3)(2 x-5) \end{array}$

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Problem 26347

Simplify each expression $(9 x+7)\left(-5 x^{4}-x^{3}\right)$

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Problem 26348

6. $a^{5}\left(-9 a^{4}-9 a^{3}+4 a^{2}\right)$

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Problem 26349

9. $6 x+8=50$

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Problem 26350

11. $13=-4 k+9$

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Problem 26351

Does the equation below represent a relation, a function, both a relation and a function, or neither a relation nor a function? $y=9 x^{2}-9 x+20$ A. both a relation and a function B. function only C. relation only D. neither a relation nor a function

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Problem 26352

4. $x^{2}-16=0$

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Problem 26353

Find the vector of stable probabilities for the Markov chain whose transition matrix is $\begin{array}{c} {\left[\begin{array}{ccc} 0.1 & 0.8 & 0.1 \\ 1 & 0 & 0 \\ 1 & 0 & 0 \end{array}\right]} \\ W= \end{array}$ $\square$ $\square$

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Problem 26354

Find an equation for a sinusoidal function that has period $2 \pi$ , amplitude 2 , and contains the point ( $2 \pi, 0$ ).
Write your answer in the form $\mathrm{f}(\mathrm{x})=\mathrm{A} \sin (\mathrm{Bx}+\mathrm{C})+\mathrm{D}$ , where $\mathrm{A}, \mathrm{B}, \mathrm{C}$ , and D are real numbers. $f(x)=$ $\square$

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Problem 26355

Solve the Inequality. $y+7<-6$
The inequality is $\square$

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Problem 26356

Find the derivative of the function $f(x)=\frac{e^{x}+1}{9(x) e^{x}-1}$ . Simplify your answer.

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Problem 26357

$\left(\frac{1-\sqrt{5}}{2}\right)^{12}$

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Problem 26358

Let $f$ be a twice-differentiable function such that $f^{\prime}(1)=0$ . The second derivative of $f$ is given by $f^{\prime \prime}(x)=x^{2} \cos \left(x^{2}+\pi\right)$ for $-1 \leq x \leq 3$ . (a) On what open intervals contained in $-1<x<3$ is the graph of $f$ concave up? Give a reason for your answer.
No response entered (b) Does $f$ have a relative minimum, a relative maximum, or neither at $x=1$ ? Justify your answer.
No response entered (c) Use the Mean Value Theorem on the closed interval $[-1,1]$ to show that $f^{\prime}(-1)$ cannot equal 2.5.
No response entered (d) Does the graph of $f$ have a point of inflection at $x=0$ ? Give a reason for your answer.

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Problem 26359

A particle moves along the $x$ -axis so that its position at time $t>0$ is given by $x(t)=\frac{t^{2}-9}{3 t^{2}+8}$ . (a) Show that the velocity of the particle at time $t$ is given by $v(t)=\frac{70 t}{\left(3 t^{2}+8\right)^{2}}$ .
No response entered (b) Is the particle moving toward the origin or away from the origin at time $t=2$ ? Give a reason for your answer.
No response entered (c) The acceleration of the particle is given by $a(t)$ . Write an expression for $a(t)$ , and find the value of $a(2)$ .
No response entered (d) What position does the particle approach as $t$ approaches infinity?

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Problem 26360

Consider the curve given by the equation $(2 y+1)^{3}-24 x=-3$ . (a) Show that $\frac{d y}{d x}=\frac{4}{(2 y+1)^{2}}$ .
No response entered (b) Write an equation for the line tangent to the curve at the point $(-1,-2)$ .
No response entered (c) Evaluate $\frac{d^{2} y}{d x^{2}}$ at the point $(-1,-2)$ .
No response entered (d) The point $\left(\frac{1}{6}, 0\right)$ is on the curve. Find the value of $\left(y^{-1}\right)^{\prime}(0)$ . (3) $55^{\circ} \mathrm{F}$

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Problem 26361

$\left(2 g^{3}+g^{2}\right)\left(4 g^{3}-7 g^{2}-3 g\right)$

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Problem 26362

Use logarithmic differentiation to differentiate each function with respect to $x$ . You do not need to simplify or substitute for $y$ . $y=\frac{\left(x^{2}+4\right)^{3}}{\left(2 x^{4}-1\right)^{5} \cdot\left(4 x^{9}+5\right)^{6}}$ A) $\frac{d y}{d x}=y\left(\frac{6 x}{x^{2}+4}-\frac{160 x^{3}}{2 x^{4}-1}-\frac{864 x^{8}}{4 x^{9}+5}\right)$ B) $\frac{d y}{d x}=y\left(\frac{18 x}{x^{2}+4}-\frac{80 x^{3}}{2 x^{4}-1}+\frac{432 x^{8}}{4 x^{9}+5}\right)$ C) $\frac{d y}{d x}=y\left(\frac{6 x}{x^{2}+4}-\frac{40 x^{3}}{2 x^{4}-1}+\frac{864 x^{8}}{4 x^{9}+5}\right)$ D) $\frac{d y}{d x}=y\left(\frac{6 x}{x^{2}+4}-\frac{40 x^{3}}{2 x^{4}-1}-\frac{216 x^{8}}{4 x^{9}+5}\right)$

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Problem 26363

6. Найдите точки, в которых компоненты градиента функции $z=x^{2}+y^{2}+5 x y+x-4 y+1$ равны нулю.

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Problem 26364

[4] If $A^{-1}=\left[\begin{array}{cc}3 & 2 \\ -1 & 1\end{array}\right]$ and $B^{-1}=\left[\begin{array}{cc}1 & -1 \\ -3 & 4\end{array}\right]$ , and $(A B)^{-1}=\left[\begin{array}{ll}x & z \\ y & h\end{array}\right]$ , then $x+y+z+h$ a) -10 b) 3 c) 8 d) 20 [5] If $\left|\begin{array}{cccc}a & b & c & d \\ e & f & g & h \\ i & j & k & l \\ m & n & o & p\end{array}\right|=-3$ , then $\operatorname{det}\left(2\left[\begin{array}{cccc}a & b & c & d \\ e & f & g & h \\ i & j & k & l \\ m & n & o & p\end{array}\right]\right)=$ a) -6 b) -48 c) -12 d) -32 [6] The linear system given by $A X=B$ where $A$ is $2 \times 2$ square matrix, $A_{x}=\left[\begin{array}{cc}2 & -1 \\ 6 & 1\end{array}\right]$ and $A_{y}=\left[\begin{array}{ll}3 & 2 \\ 1 & 6\end{array}\right]$ , then $X=$ a) $\left[\begin{array}{l}2 \\ 4\end{array}\right]$ b) $\left[\begin{array}{c}-2 \\ 4\end{array}\right]$ c) $\left[\begin{array}{l}4 \\ 2\end{array}\right]$ d) $\left[\begin{array}{l}-4 \\ -2\end{array}\right]$
Q2: Write (T) for the correct statement and (F) for the false one [1] $\qquad$ If $|A|=\left|A^{-1}\right|$ then $|A|$ must equal to 1. [2] $\qquad$ If $A=[-\sqrt{2}]$ then $A^{-1}=\left[-\frac{\sqrt{2}}{2}\right]$ [3] $\qquad$ $3 A^{\mathrm{T}} A$ is a symmetric matrix. [4] $\qquad$ The matrix $A=\left[\begin{array}{cccc}1 & 5 & -3 & 0 \\ 0 & -2 & 0 & 8 \\ 0 & 0 & -1 & 0 \\ 0 & 0 & 0 & 2\end{array}\right]$ is singular.

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Problem 26365

Let $g$ be the function defined by $g(x)=\left(x^{2}-x+1\right) e^{x}$ . What is the absolute maximum value of $g$ on the interval $[-4,1] ?$ (A) 1 (B) $e$ (C) $\frac{3}{e}$ (D) $\frac{21}{e^{1}}$ https://apclassroom.collegeboard.org/25/assessments/results/62905152/performance/591...

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Problem 26366

tentukan $\frac{\partial w}{\partial t}$ dengan aturan rantai dan ungkapkan Jawaban akhir dalam bentuk $s$ dan $t$ .
12. $w=e^{x y+z} ; x=s+t, y=s-t, z=t^{2}$ .

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Problem 26367

Find the derivative. $y=\frac{\ln (6 x+7)}{e^{6 x+7}}$
Select one: A. $\frac{1-6[\ln (6 x+7)]^{2}}{\ln [6 x+7] e^{(6 x+7)}}$ B. $\frac{1}{(6 x+7) e^{(6 x+7)}}$ C. $\frac{6-(36 x+42) \ln (6 x+7)}{(6 x+7) e^{(6 x+7)}}$ D. $\frac{1-(6 x+7) \ln (6 x+7)}{(6 x+7) e^{(6 x+7)}}$

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Problem 26368

23-28 True-False Determine whether tr - statement is true or false. Explain your answer.
23. If $f(x)$ is continuous at $x=c$ , then so is $|f(x)|$ .
24. If $|f(x)|$ is continuous at $x=c$ , then so is $f(x)$ .
25. If $f$ and $g$ are discontinuous at $x=c$ , then so is $f+g$ .
26. If $f$ and $g$ are discontinuous at $x=c$ , then so is $f g$ .

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Problem 26369

10) The improper integral $\int_{0}^{\infty} \frac{16 \tan ^{-1} x}{1+x^{2}} d x$ A) diverges B) converges to $2 \pi^{2}$ C) converges to $\frac{1}{2} \pi^{2}$ D) converges to $\frac{3}{2} \pi^{2}$ E) NOTA

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Problem 26370

Condense each expression to a single logarithm. 19) $\log _{3} x-\log _{3} y$ 20) $\log _{8} a+\log _{8} b$ 21) $\frac{\log _{2} u}{3}$ 22) $2 \log _{3} 12$ 23) $\log _{5} 8+\log _{5} 7$ 24) $\log _{2} 10-\log _{2} 3$ 25) $4 \log x$ 26) $\frac{\log _{5} x}{2}$

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Problem 26371

Rational Functions, Equations, and Inequalities
NAME $\qquad$ Williams 0.
DATE : 181 1212024 $\qquad$ K $1 / 16$ T 15 c 14 A 112 1) For each function, identify the location of the hole (if applicable), the equation(s) of the vertical asymptote(s) and the equation of the horizontal asymptote. (a) $f(x)=\frac{x+1}{x^{2}+x}$ (b) $g(x)=\frac{x^{2}+4 x+4}{x^{2}-4}$ [K-6]

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Problem 26372

Use the square root property to solve the Quadratic Equation. $2(x-4)^{2}=200$

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Problem 26373

Use the Box Method to Simplify the following: $(x+3)(x-2)$

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Problem 26374

2 correct factorization of $x^{2}-2 x-15 z$ a $(x+5)(x-3)$ b $(x+5) \quad(x+3)$ $c(x-5)(x-3)$ $d(x-5)(x+3)$

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Problem 26375

$\sqrt{3} \cdot \sqrt{5}$

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Problem 26376

5. $\begin{aligned} y & =-2 x+2 \\ & y=7 x+11\end{aligned}$

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Problem 26377

Exercice 4 Soit la suite $\left(U_{n}\right)$ définiepar $\left\{\begin{array}{c}U_{0}=\frac{2}{3} \\ U_{n+1}=\frac{1}{2} U_{n}+\frac{n}{2 \sqrt{2}}+\frac{1}{\sqrt{2}}\end{array}\right.$
1. Calculer $U_{1}, U_{2}$ et $U_{3}$
2. On pose: $\forall n \geq 0 \quad V_{n}=U_{n} \sqrt{2}-n$ . a. Calculer $V_{0}, V_{1}$ et $V_{2}$ b. Montrer que $\left(V_{n}\right)$ est une suite géométrique c. Exprimer $\boldsymbol{V}_{\boldsymbol{n}}$ puis $\boldsymbol{U}_{\boldsymbol{n}}$ en fonction de $\boldsymbol{n}$ d. Calculer en fonction de $n: S_{n}=\sum_{k=0}^{k=n} v_{k}$

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Problem 26378

A. B. C. $x \leq-3$ and $x \geq 5$ D. $x<-3$ and $x>5$ F. $(-\infty,-3] \cup[5, \infty)$ E. $\mathbb{R}$ G. $(-\infty,-3) \cup(5, \infty)$ H. All real numbers I. No solutions
The questions in this level are taken directly from the Units 3 and 4 Review in "Activity: Review by Unit." Only proceed if you have completed that section of the activity.
Solve the compound inequality $4 x+1 \leq-11$ and $-3 x+1<-14$ . Which of the options shown accurately represent(s) the solutions?

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Problem 26379

Unanswered
Question 11 Not yet graded / 1 pts
Evaluate the following improper integral if it is convergent. If it is not convergent, write divergent $\int_{0}^{\infty} e^{-2 x} d x$
Your Answer:

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Problem 26380

15. [Maximum mark: 6] [without GDC]
The function $f$ is given by $f(x)=\sqrt{x-4}+\frac{2}{x-5}+\log (10-x)$ . Find the largest possible domain of the function.

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Problem 26381

How many solutions does the equation have? $|y|-8=6$ no solution one solution two solutions Submit

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Problem 26382

Mrito vour answers without exponents. $8^{-\frac{2}{3}}=\square$ $(45-25)_{2}^{3}=4$

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Problem 26383

$3 x^{2}=5-4 x$

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Problem 26384

ber line represents the solution to the absolute value inequality $|2 x|+6 \geq 16$ ? $\begin{array}{lllll:llllllllllllllll} \\ -10 & -9 & -8 & -7 & -6 & -5 & -4 & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10\end{array}$ -10

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Problem 26385

Factor. $2 y^{2}-7 y-15$

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Problem 26386

Derivatives of Inverse Trig Functions Score: 0/1 Penalty: none
Question Watch Video
If $f(x)=\sin ^{-1}(x)$ , then what is the value of $f^{\prime}\left(\frac{4}{5}\right)$ in simplest form?
Answer Attempt 1 out of 5 $\square$ Submit Answer

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Problem 26387

Question $2 x^{2}+5 x-3=$ $(2 x-3)(x+1)$ $(2 x+3)(x-1)$ $(2 x-1)(x+3)$ $(2 x+1)(x-3)$ Type here to search

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Problem 26388

DPS Name: The solutions to the equation $3 x^{2}-4 x+2=2 x-3$ are $1 \frac{2}{3} \pm \frac{\sqrt{2}}{3} i$ $21 \pm \frac{\sqrt{6}}{3} i$ $31 \pm \frac{\sqrt{12}}{3}$ $41 \pm 2 \sqrt{6} i$
From the reference sheet: $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

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Problem 26389

10. Which function is an even function? $\begin{array}{l} y=2 x^{4}+3 x^{2}+4 x \\ y=4 x+2 \end{array}$ 3) $y=3 x^{4}+5 x^{2}+$ 4) $y=6 x^{8}+4 x$

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Problem 26390

5. Which equation is linear?
4. $x y=60$ b. $3 x-2 y=5$ $2 y-x^{2}-3 x+1$
16. State whether each graph has line symmetry any lines of symmetry of points of symmetry. a. point symmetry; $(0,0)$ coint symmetry; $(-2$ , b. (ine symertry; $x=-2$ a. line symmetry; $y=1$

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Problem 26391

$y^{2} d x+\left(2 x y-y^{2} e^{y}\right) d y=0$ exacl

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Problem 26392

Choose the correct answer : (5 points) 1) A particular solution for the differential equation $y^{(4)}+y^{(3)}=2+4 e^{x}$ is (a) $\mathrm{A}+\mathrm{B} \mathrm{e}^{\mathrm{x}}$ (b) $\mathrm{A}+\mathrm{Bx}+\mathrm{Cx}^{2}+\mathrm{D} \mathrm{e}^{\mathrm{x}}$ (c) $\mathrm{Ax}^{2}+\mathrm{Bx}^{2} \mathrm{e}^{\mathrm{x}}$ (d) $\mathrm{Ax}^{2}+\mathrm{Be}^{\mathrm{x}}$ e)NOTA 2) The solution for the I.V.P $\sin (t) y^{\prime \prime \prime}+\frac{1}{t-3} y^{\prime \prime}+e^{t} y=t^{3} \quad y(1)=0 \quad y^{\prime}(1)=1 \quad y^{\prime \prime}(1)=-1$ is guaranteed on a) $(0,3)$ b) $(0, \pi)$ c) $(-\infty, 3)$ d) $(-\infty, \infty)$ 3) If a series solution is to be found for $y^{\prime \prime}-4 x y^{\prime}+4 y=0, y(0)=2, y^{\prime}(0)=3$ then $\mathrm{a}_{2}=$ (a) -4 (b) 8 (c) -8 (d) 1 e)NOTA 4)Suppose the solution to the differential equation $y^{\prime \prime}+3 y=0$ is written as a power series $y=\sum_{n=0}^{\infty} a_{n} x^{n}$ What is the lower bound of the radius of convergence of this power series? a) 0 b)1 c)2 d) 3 e) $\infty$ 5) The general solution for $y^{\prime \prime \prime}+9 y^{\prime}=0$ is : a) $c_{1}+c_{2} \cos t+c_{3} \sin t$ b) $c_{1}+c_{2} t+c_{3} e^{9 t}$ c) $c_{1}+c_{2} e^{3 t}+c_{3} e^{-3 t}$ d) $c_{1}+c_{2} e^{3 t}+c_{3} t e^{3 t}$ e)NOTA

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Problem 26393

false: (5 points) form of $y_{p}$ for $y^{\prime \prime \prime}-3 y^{\prime}+2 y=x e^{x}$ is $\left(\mathrm{Ax}^{3}+B x^{2}\right) e^{x}$ the roots of the indicial equation are $-0.3,1.7$ then the D.E. has two nearly independent solutions $W(f, g, h)=\sin t$ then the functions $f, g, h$ are linearly dependent er bound for the radius of convergence for the series 1 of $\left(1-\mathrm{x}^{3}\right) y^{\prime \prime}+4 x y^{\prime}+y=0 \quad, \mathrm{x}_{0}=3 \quad$ is 2 $=1$ is a R.S.P for $(x-1)^{2} y^{\prime \prime}+3 y^{\prime}+(x-1) y=0$

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Problem 26394

ue or false: (5 points) - The form of $y_{p}$ for $y^{\prime \prime \prime}-3 y^{\prime}+2 y=x e^{x}$ is $\left(\mathrm{Ax}^{3}+B x^{2}\right) e^{x}$ - If the roots of the indicial equation are $-0.3,1.7$ then the D.E. has two linearly independent solutions - If $W(f, g, h)=\sin t$ then the functions $f, g, h$ are linearly dependent lower bound for the radius of convergence for the series lution of $\left(1-\mathrm{x}^{3}\right) y^{\prime \prime}+4 x y^{\prime}+y=0 \quad, \mathrm{x}_{0}=3 \quad$ is 2 - $\mathrm{x}=1$ is a R.S.P for $(x-1)^{2} y^{\prime \prime}+3 y^{\prime}+(x-1) y=0$

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Problem 26395

(d) $\int_{1}^{e} \frac{d}{d x}\left[\frac{x \ln x}{1+x^{2}}\right] d x$

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Problem 26396

Q1) True or false: (5 points)
1- The form of $y_{p}$ for $y^{\prime \prime \prime}-3 y^{\prime}+2 y=x e^{x}$ is $\left(\mathrm{Ax}^{3}+B x^{2}\right) e^{x}$ 2- If the roots of the indicial equation are $-0.3,1.7$ then the D.E. has two linearly independent solutions
3- If $\mathrm{W}(\mathrm{f}, \mathrm{g}, \mathrm{h})=\sin \mathrm{t}$ then the functions $\mathrm{f}, \mathrm{g}, \mathrm{h}$ are linearly dependent 4- The lower bound for the radius of convergence for the series solution of $\left(1-\mathrm{x}^{3}\right) y^{\prime \prime}+4 x y^{\prime}+y=0 \quad, \mathrm{x}_{0}=3 \quad$ is 2
5- $\quad \mathrm{x}=1$ is a R.S.P for $(x-1)^{2} y^{\prime \prime}+3 y^{\prime}+(x-1) y=0$

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Problem 26397

Pretest: Unit 5
Question 17 of 26 What is the degree of the polynomial given below? $F(x)=2 x^{3}-x^{2}+5 x-3$ A. 4 B. 5 C. 3 D. 2

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Problem 26398

Let $A, B$ be two independent events of a sample space, where $P(A)=0.4$ , $P(\bar{B})=0.6$ . Then $P(\bar{A} \cup B)=$ 0.8 0.2 0.76 0.18 None of these

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Problem 26399

Find the exact value of $\cos \frac{\pi}{8}$ .

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Problem 26400

Rewrite the radical expression $\sqrt[3]{x^{5}}$ as an expression with rational exponents. A. $x^{\frac{2}{5}}$ B. $x^{\frac{5}{2}}$ C. $x^{\frac{3}{5}}$ D. $x^{\frac{5}{3}}$

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Math Statement

Problem 26301

Find the decimal approximation of cot⁡(−260∘23′)\cot \left(-260^{\circ} 23^{\prime}\right)cot(−260∘23′) rounded to seven decimal places.

Problem 26302

Find θ\thetaθ in [0∘,90∘][0^{\circ}, 90^{\circ}][0∘,90∘] such that sin⁡θ=0.65303571\sin \theta = 0.65303571sinθ=0.65303571. What is θ≈\theta \approxθ≈? Round to six decimal places.

Problem 26303

Simplify the expression: 3x−3y3y−3x\frac{3 x-3 y}{3 y-3 x}3y−3x3x−3y​. Choose A. 1, B. -3, C. 3, or D. -1.

Problem 26304

Simplify the product: x2+x2⋅8x+1\frac{x^{2}+x}{2} \cdot \frac{8}{x+1}2x2+x​⋅x+18​. Select the correct answer.

Problem 26305

Find the product and simplify: z340z⋅52z2\frac{z^{3}}{40 z} \cdot \frac{5}{2 z^{2}}40zz3​⋅2z25​. Options: A. 116z\frac{1}{16 z}16z1​ B. z16\frac{z}{16}16z​ C. 116\frac{1}{16}161​ D. z316z2\frac{z^{3}}{16 z^{2}}16z2z3​

Problem 26306

Find the slope of the line given by the equation 12x−3y=−2112 x - 3 y = -2112x−3y=−21.

Problem 26307

Find the xxx-intercept and yyy-intercept of the line −x+2y=2-x + 2y = 2−x+2y=2. xxx-intercept: 2, yyy-intercept: ?

Problem 26308

Find the slope-intercept form of a line with xxx-intercept =7=7=7 and yyy-intercept =2=2=2.

Problem 26309

Problem 26310

Find the quotient and simplify: (y−4)2/5÷(5y−20)/25(y-4)^{2}/5 \div (5y-20)/25(y−4)2/5÷(5y−20)/25. Select one: A, B, C, or D.

Problem 26311

To eliminate xxx in the system below, if you multiply the first equation by 8, what should you multiply the second by?−6x+8y=−5−8x−13y=0 \begin{array}{l} -6 x+8 y=-5 \\ -8 x-13 y=0 \end{array} −6x+8y=−5−8x−13y=0​

Problem 26312

Find the yyy-intercept and xxx-intercept of the line: 5x−6y=305x - 6y = 305x−6y=30. What are the intercepts?

Problem 26313

Find the solutions for x2=81x^{2}=81x2=81 using factoring methods.

Problem 26314

Convierte el número decimal periódico 33,3‾%33, \overline{3} \%33,3% a fracción.

Problem 26315

Solve the compound inequality: 3(z−1)≥−33(z-1) \geq -33(z−1)≥−3 or 7−z≤97-z \leq 97−z≤9. Provide the solution set in interval notation.

Problem 26316

Add and simplify: 211+x+x+611+x\frac{2}{11+x}+\frac{x+6}{11+x}11+x2​+11+xx+6​. Choose the correct answer from the options given.

Problem 26317

Let y=f(x)y=f(x)y=f(x) be a twice-differentiable function such that f(1)=3f(1)=3f(1)=3 and dydx=4y2+7x2\frac{d y}{d x}=4 \sqrt{y^{2}+7 x^{2}}dxdy​=4y2+7x2​. What is the value of d2ydx2\frac{d^{2} y}{d x^{2}}dx2d2y​ at x=1x=1x=1 ? (A) 10 (B) 23 (C) 55 (D) 160

Problem 26318

Problem 26319

Which xxx-value is a solution to −6x+8<−16?-6 x+8<-16 ?−6x+8<−16?

Problem 26320

Problem 26321

y=5−x5D:≤x≤R:≤y≤\begin{aligned} y & = 5 - \frac{x}{5} \\ D: & \leq x \leq \\ R: & \leq y \leq \end{aligned}yD:R:​=5−5x​≤x≤≤y≤​

Problem 26322

Find the vertex, axis of symmetry (AOS), domain, range, and transformations of the function f(x)=3∣x−2∣ f(x) = 3|x-2| f(x)=3∣x−2∣.

Problem 26323

3x⋅3x2−2x⋅x2/33x2\frac{\sqrt{3 x} \cdot 3 x}{2}-\frac{2 x \cdot x^{2 / 3 \sqrt{3} x}}{2}23x​⋅3x​−22x⋅x2/33​x​

Problem 26324

7. (3 marks) Suppose that h(x)=f(xg(x)),g(2)=−3h(x)=f(x g(x)), g(2)=-3h(x)=f(xg(x)),g(2)=−3, f′(−6)=4f^{\prime}(-6)=4f′(−6)=4, and g′(2)=5g^{\prime}(2)=5g′(2)=5. Find h′(2)h^{\prime}(2)h′(2).

Problem 26325

Temukan nilai eigen dan vektor eigen dan matriks A -3 3 3-5 3 6-64

Problem 26326

1. Temukan nilai eigen dan vektor eigen dari matriks A=[1−333−536−64]A=\left[\begin{array}{ccc}1 & -3 & 3 \\ 3 & -5 & 3 \\ 6 & -6 & 4\end{array}\right]A=⎣⎡​136​−3−5−6​334​⎦⎤​

Problem 26327

Copy and complete the statement.10. 6gal/min=6 \mathrm{gal} / \mathrm{min}=6gal/min= \qquad qt/min\mathrm{qt} / \mathrm{min}qt/min11. 5.3 km/h=5.3 \mathrm{~km} / \mathrm{h}=5.3 km/h= \qquad m/h\mathrm{m} / \mathrm{h}m/h Copyright ⊙\odot⊙ Big Ideas Learning, LLC

Problem 26328

45=□30\frac{4}{5}=\frac{\square}{30}54​=30□​ and 56=□30\frac{5}{6}=\frac{\square}{30}65​=30□​, so 45\frac{4}{5}54​ is □\square□ than 56\frac{5}{6}65​

Problem 26329

QUESTION 2 Multiply and simplify completely. (2−6)(4+6)(2-\sqrt{6})(4+\sqrt{6})(2−6​)(4+6​) □\square□

Problem 26330

Problem 26331

Simpliby mo expression x4y3⋅x2y8x^{4} y^{3} \cdot x^{2} y^{8}x4y3⋅x2y8

Problem 26332

RadicalsUse the product rule to simplify the radical. 5454=□\begin{array}{c} \sqrt{54} \\ \sqrt{54}=\square \end{array}54​54​=□​ □\square□ (Simplify your answer. Type an exact answer, using radicals as needed.)

Problem 26333

d) 210=40(1.5)x210=40(1.5)^{x}210=40(1.5)x

Problem 26334

Problem 26335

18. Solve the following inequality algebraically ∣2x−6∣<7|2 x-6|<7∣2x−6∣<7

Problem 26336

3(x+2)=213(x+2)=213(x+2)=21

Problem 26337

The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your onswer. How could you correctly rewrite the equation 4(5+3)=2(22−6)4(5+3)=2(22-6)4(5+3)=2(22−6) using the distributive property? 20+12=44−1220+12=44-1220+12=44−12

Problem 26338

Solve for aaa. Express your answer in simplest radical form if necessary. a3=78a^{3}=78a3=78Answer Attempt 1 out of 2

Problem 26339

(4) What is xxx ?x2=169x^{2}=169x2=169 □\square□ x=−84.5x=−16\begin{array}{l} x=-84.5 \\ x=-16 \end{array}x=−84.5x=−16​ \qquad x^=−16x=−13\begin{array}{l} \hat{x}=-16 \\ x=-13 \end{array}x^=−16x=−13​ □\square□ x=13x=13x=13x=16x=16x=16 \qquad x=84.5x=84.5x=84.5

Problem 26340

Problem 26341

Problem 26342

Problem 26343

6(w+1)−3w=3(w+42(3a−1)=4a+107b−3(b+2)=4b−115(c−2)+3c=4(2c+1\begin{array}{l}6(w+1)-3 w=3(w+4 \\ 2(3 a-1)=4 a+10 \\ 7 b-3(b+2)=4 b-11 \\ 5(c-2)+3 c=4(2 c+1\end{array}6(w+1)−3w=3(w+42(3a−1)=4a+107b−3(b+2)=4b−115(c−2)+3c=4(2c+1​

Problem 26344

Find the decimal approximation of $\cot \left(-260^{\circ} 23^{\prime}\right)$ rounded to seven decimal places.

Find $\theta$ in $[0^{\circ}, 90^{\circ}]$ such that $\sin \theta = 0.65303571$ . What is $\theta \approx$ ? Round to six decimal places.

Simplify the expression: $\frac{3 x-3 y}{3 y-3 x}$ . Choose A. 1, B. -3, C. 3, or D. -1.

Simplify the product: $\frac{x^{2}+x}{2} \cdot \frac{8}{x+1}$ . Select the correct answer.

Find the product and simplify: $\frac{z^{3}}{40 z} \cdot \frac{5}{2 z^{2}}$ . Options: A. $\frac{1}{16 z}$ B. $\frac{z}{16}$ C. $\frac{1}{16}$ D. $\frac{z^{3}}{16 z^{2}}$

Find the slope of the line given by the equation $12 x - 3 y = -21$ .

Find the $x$ -intercept and $y$ -intercept of the line $-x + 2y = 2$ . $x$ -intercept: 2, $y$ -intercept: ?

Find the slope-intercept form of a line with $x$ -intercept $=7$ and $y$ -intercept $=2$ .

Find the quotient and simplify: $(y-4)^{2}/5 \div (5y-20)/25$ . Select one: A, B, C, or D.

To eliminate $x$ in the system below, if you multiply the first equation by 8, what should you multiply the second by?
$\begin{array}{l} -6 x+8 y=-5 \\ -8 x-13 y=0 \end{array}$

Find the $y$ -intercept and $x$ -intercept of the line: $5x - 6y = 30$ . What are the intercepts?

Find the solutions for $x^{2}=81$ using factoring methods.

Convierte el número decimal periódico $33, \overline{3} \%$ a fracción.

Solve the compound inequality: $3(z-1) \geq -3$ or $7-z \leq 9$ . Provide the solution set in interval notation.

Add and simplify: $\frac{2}{11+x}+\frac{x+6}{11+x}$ . Choose the correct answer from the options given.

Let $y=f(x)$ be a twice-differentiable function such that $f(1)=3$ and $\frac{d y}{d x}=4 \sqrt{y^{2}+7 x^{2}}$ . What is the value of $\frac{d^{2} y}{d x^{2}}$ at $x=1$ ? (A) 10 (B) 23 (C) 55 (D) 160

Which $x$ -value is a solution to $-6 x+8<-16 ?$

$\begin{aligned} y & = 5 - \frac{x}{5} \\ D: & \leq x \leq \\ R: & \leq y \leq \end{aligned}$

Find the vertex, axis of symmetry (AOS), domain, range, and transformations of the function $f(x) = 3|x-2|$ .

$\frac{\sqrt{3 x} \cdot 3 x}{2}-\frac{2 x \cdot x^{2 / 3 \sqrt{3} x}}{2}$

7. (3 marks) Suppose that $h(x)=f(x g(x)), g(2)=-3$ , $f^{\prime}(-6)=4$ , and $g^{\prime}(2)=5$ . Find $h^{\prime}(2)$ .

1. Temukan nilai eigen dan vektor eigen dari matriks $A=\left[\begin{array}{ccc}1 & -3 & 3 \\ 3 & -5 & 3 \\ 6 & -6 & 4\end{array}\right]$

Copy and complete the statement.
10. $6 \mathrm{gal} / \mathrm{min}=$ $\qquad$ $\mathrm{qt} / \mathrm{min}$
11. $5.3 \mathrm{~km} / \mathrm{h}=$ $\qquad$ $\mathrm{m} / \mathrm{h}$ Copyright $\odot$ Big Ideas Learning, LLC

$\frac{4}{5}=\frac{\square}{30}$ and $\frac{5}{6}=\frac{\square}{30}$ , so $\frac{4}{5}$ is $\square$ than $\frac{5}{6}$

QUESTION 2 Multiply and simplify completely. $(2-\sqrt{6})(4+\sqrt{6})$ $\square$

Simpliby mo expression $x^{4} y^{3} \cdot x^{2} y^{8}$

Radicals
Use the product rule to simplify the radical. $\begin{array}{c} \sqrt{54} \\ \sqrt{54}=\square \end{array}$ $\square$ (Simplify your answer. Type an exact answer, using radicals as needed.)

d) $210=40(1.5)^{x}$

18. Solve the following inequality algebraically $|2 x-6|<7$

$3(x+2)=21$

The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your onswer. How could you correctly rewrite the equation $4(5+3)=2(22-6)$ using the distributive property? $20+12=44-12$

Solve for $a$ . Express your answer in simplest radical form if necessary. $a^{3}=78$
Answer Attempt 1 out of 2

(4) What is $x$ ?
$x^{2}=169$ $\square$ $\begin{array}{l} x=-84.5 \\ x=-16 \end{array}$ $\qquad$ $\begin{array}{l} \hat{x}=-16 \\ x=-13 \end{array}$ $\square$ $x=13$
$x=16$ $\qquad$ $x=84.5$

$\begin{array}{l}6(w+1)-3 w=3(w+4 \\ 2(3 a-1)=4 a+10 \\ 7 b-3(b+2)=4 b-11 \\ 5(c-2)+3 c=4(2 c+1\end{array}$

Given $x>0$ and $y>0$ , select the expression that is equivalent to $\sqrt[4]{256 x^{16} y^{6}}$

Graph the function. $f(x)=\sqrt{x}-7$

Simplify each expression $(9 x+7)\left(-5 x^{4}-x^{3}\right)$

6. $a^{5}\left(-9 a^{4}-9 a^{3}+4 a^{2}\right)$

9. $6 x+8=50$

11. $13=-4 k+9$

Does the equation below represent a relation, a function, both a relation and a function, or neither a relation nor a function? $y=9 x^{2}-9 x+20$ A. both a relation and a function B. function only C. relation only D. neither a relation nor a function

4. $x^{2}-16=0$

Solve the Inequality. $y+7<-6$
The inequality is $\square$

Find the derivative of the function $f(x)=\frac{e^{x}+1}{9(x) e^{x}-1}$ . Simplify your answer.

$\left(\frac{1-\sqrt{5}}{2}\right)^{12}$

$\left(2 g^{3}+g^{2}\right)\left(4 g^{3}-7 g^{2}-3 g\right)$

6. Найдите точки, в которых компоненты градиента функции $z=x^{2}+y^{2}+5 x y+x-4 y+1$ равны нулю.

tentukan $\frac{\partial w}{\partial t}$ dengan aturan rantai dan ungkapkan Jawaban akhir dalam bentuk $s$ dan $t$ .
12. $w=e^{x y+z} ; x=s+t, y=s-t, z=t^{2}$ .

10) The improper integral $\int_{0}^{\infty} \frac{16 \tan ^{-1} x}{1+x^{2}} d x$ A) diverges B) converges to $2 \pi^{2}$ C) converges to $\frac{1}{2} \pi^{2}$ D) converges to $\frac{3}{2} \pi^{2}$ E) NOTA

Use the square root property to solve the Quadratic Equation. $2(x-4)^{2}=200$

Use the Box Method to Simplify the following: $(x+3)(x-2)$

2 correct factorization of $x^{2}-2 x-15 z$ a $(x+5)(x-3)$ b $(x+5) \quad(x+3)$ $c(x-5)(x-3)$ $d(x-5)(x+3)$