Math Statement

Problem 19201

Listen
Evaluate the function for the given value of $x$ . $\begin{array}{l} y=-9(3)^{x} ; x=-1 \\ y=\square \quad 0_{\varphi} \end{array}$ $\square$

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Problem 19202

Given the equation $q=Q_{0} e^{-t / R C}$ , rearrange the equation to solve for $t$ .

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Problem 19203

Perform the operation. Write the answer in standard form. $(4+i)(2-i)$ $\square$

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Problem 19204

10 Die Bevölkerungszahl eines Landes wird mit der Funktion $f$ mit $f(t)=20 \cdot e^{-0,0198 t}$ modelliert ( $t$ in Jahren, $f(t)$ in Millionen). Zeigen Sie, dass die Bevölkerungszahl andauernd abnimmt. Geben Sie mithilfe Ihres Rechners die ungefähre Anzahl der Jahre an, die es dauert, bis sich die Bevölkerungszahl nach diesem Modell ungefähr halbiert hat.

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Problem 19205

3 Ordnen Sie der Funktion f die zugehörige Ableitungsfunktion $\mathrm{f}^{\prime} \mathrm{zu}$ . A: $f(x)=\frac{1}{3} x^{3}-x^{-1}$ B: $\mathbf{f}(\mathrm{x})=\sqrt{2} \mathrm{x}+5$ C: $f(x)=t x^{2}+t^{2} x+t$ (1) $f^{\prime}(x)=2 t x+t^{2}$ (2) $f^{\prime}(x)=t^{3}+3 t+1$ (3) $f^{\prime}(x)=\sqrt{2}$
D: $f(x)=x t^{3}+3 x t+x$ (4) $f^{\prime}(x)=x^{2}+\frac{1}{x^{2}}$

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Problem 19206

10 Die Bevölkerungszahl eines Landes wird mit der Funktion f mit $f(t)=20 \cdot e^{-0,0198 t}$ modelliert ( t in Jahren, $\mathrm{f}(\mathrm{t})$ in Millionen). Zeigen Sie, dass die Bevölkerungszahl andauernd abnimmt. Geben Sie mithilfe Ihres Rechners die ungefähre Anzahl der Jahre an, die es dauert, bis sich die Bevölkerungszahl nach diesem Modell ungefähr halbiert hat.

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Problem 19207

Find the derivative of the function $y(x) = 5^x \cdot \operatorname{sen}(x)$ .

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Problem 19208

$d(z-8)+5(z-8)=$

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Problem 19209

Solve the following equation and check your solution. $-14 y+12(-14 y-11)=4418$ $y=$ $\square$ (Simplify your answer.)

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Problem 19210

Let $f(x)=\frac{-x}{(x+4)^{3}}$ and estimate the one-sided limits below. If you need to enter $\infty$ or $-\infty$ , enter INFINITY or -INFINITY. (a) $\lim _{x \rightarrow-4^{+}} f(x)=$ $\square$ help (limits) (b) $\lim _{x \rightarrow-4^{-}} f(x)=$ $\square$ help (limits)
Note: You can earn partial credit on this problem.

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Problem 19211

Divide. Express your answer in lowest terms. $\frac{30 x^{2}+11 x y-30 y^{2}}{48 x^{2}-46 x y+5 y^{2}} \div \frac{25 x^{2}-60 x y+36 y^{2}}{40 x^{2}-53 x y+6 y^{2}}$

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Problem 19212

Divide. Express your answer in lowest terms. $\frac{30 x^{2}+11 x y-30 y^{2}}{48 x^{2}-46 x y+5 y^{2}} \div \frac{25 x^{2}-60 x y+36 y^{2}}{40 x^{2}-53 x y+6 y^{2}}$

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Problem 19213

UNIT 3 PRACTIC... Find the derivative of the following fun 11) y = ln(√x) 2 13) y = In ln x√√x+1 (x³-6)² 2 y JD = 1 (x²³-6)² +3 X√x+1 2√x+1 [(x³-6)² (x- ₤ (x²-6) (x+1)² + (x² -6) ху X√xFT (x²-6 ² 17 = (³·×+ h.1) ye + x = 43 -6

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Problem 19214

Solve the inequality for $w$ . $8 w-11>6 w-5$
Simplify your answer as much as possible.

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Problem 19215

The graph of the equation representing compound interest is that of: A. linear function. B. quadratic function. C. exponential function. D. None of the above

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Problem 19216

10. $-6 \frac{1}{2} \div 1 \frac{1}{6}$

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Problem 19217

4. [12 marks] Find $y^{\prime}$ ; you do not have to simplify the answer algebraically: (a) $y=5 x \tan \left(x^{3}\right)$

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Problem 19218

4. ${ }^{4}$ Find the volume of the solid formed by rotating the graph of $y=\frac{1}{\sqrt{x(3-x)}}$ around the $x$ -axis, over the interval $[1,2]$ .

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Problem 19219

(b) $\sum_{n=1}^{\infty} \arctan n$ ;

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Problem 19220

Simplify. $\left(x^{3}-7 x^{2}+13 x-15\right) \div(x-5)$
Put your answer in standard form. (no

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Problem 19221

Number Theory and Fractions Unit Test
Express the prime factorization of 1,200 as a product of prime numbers with exponents. (2 points)
4. $\square$ $\square$ ${ }^{2}=1,200$ $\square$

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Problem 19222

Solve the system. $\begin{array}{c} x^{2}+8 x+y+7=2 \\ y=-2 x+4 \end{array}$

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Problem 19223

$-2+16$

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Problem 19224

$-5+(-3)$

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Problem 19225

"Block and set" is the technique of having the actors go though their stage directions step by step very slowly and then going back right away full speed. True False

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Problem 19226

Use the quotient rule to simplify. Assume that all variables represent positive real numbers. $\begin{array}{l} \sqrt[3]{\frac{7 x}{81 y^{12}}} \\ \sqrt[3]{\frac{7 x}{81 y^{12}}}= \end{array}$ $\square$ (Type an exact answer, using radicals as needed. Simplify your answer.)

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Problem 19227

Jse the parent function $f(x)=|x|$ to graph $g(x)=-|x-4|$ .

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Problem 19228

1 Numeric 1 point What is $p(4)$ for $p(x)=4 x^{2}-5 x-20$

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Problem 19229

Solve the following:- $\begin{array}{l} 1-\binom{3}{2} \\ 2-\binom{3}{0} \end{array}$

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Problem 19230

Use the information below to find the value of $r$ . $\begin{array}{c} r=f(4 f+m) \\ f=-2 \\ m=14 \end{array}$

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Problem 19231

Evaluate the function $d(x)=-2 x+9$ when $x=5$ .

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Problem 19232

Express as a single logarithm and simplify, if possible. $\frac{1}{3} \log _{b} x+5 \log _{b} y-2 \log _{b} x$

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Problem 19233

Identify the property that justifies the statement $z(2 w+y)=(2 w+y) z$ . A associative property of multiplication B commutative property of multiplication C multiplication property of equality D symmetric property of equality

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Problem 19234

Find the interval of convergence and the radius of convergence for the series $\sum_{n=1}^{\infty} \frac{(x-5)^{n}}{n^{2}}$ .

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Problem 19235

6. Describe the number and type of solutions to the equation. $2 x^{2}-6 x+8=0$

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Problem 19236

7. [6 marks] Find the equation of the tangent line to the graph of the relatio $3 x^{4}+5 x y-3 y^{2}=1$ at the point $(1,2)$ .

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Problem 19237

Rationalize the denominator of $\sqrt[4]{\frac{81}{8}}$ .

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Problem 19238

Given the sequential instructions below. Identify the instructions suitable for parallelism and those that are not suitable. i. $\quad \mathrm{e}=\mathrm{a}+\mathrm{b}$ ii. $p=f+c$ iii. $\quad f=c+d$ iv. $g=e * f$

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Problem 19239

71 Soit $S_{n}$ la somme définie pour tout $n \in \mathbb{N}$ par $S_{n}=1+5+5^{2}+5^{3}+\ldots+5^{n}$ .
1. Exprimer $S_{n}$ en fonction de $n$ .
2. Déterminer limite de $S_{n}$ quand $n$ tend vers $+\infty$ en justifiant.

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Problem 19240

Rationalize the denominator of $4 \sqrt{\frac{16}{27}}$ .

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Problem 19241

4. Determine exact value for $2 \sin 112.5^{\circ} \cos 112.5^{\circ}$ : A. $\frac{1}{2}$ B. $-\frac{1}{2}$ C. $\frac{\sqrt{2}}{2}$ D. $-\frac{\sqrt{2}}{2}$

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Problem 19242

Below is a hypothesis test. Label the different parts of the test in the boxes.
A hospital director is told that $47 \%$ of the treated patients are uninsured. The director wants to test the claim that the percentage of uninsured patients is over the expected percentage. A sample of 400 patients is found that 200 were uninsured. At the 0.02 level, is there enough evidence to support the director's claim? $\begin{array}{l} H_{o}: p \leq 0.47 \\ H_{a}: p>0.47 \end{array}$ $Z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.5-0.47}{\sqrt{\frac{0.47(1-0.47)}{400}}}=\frac{0.03}{\sqrt{\frac{0.47(0.53)}{400}}}=\frac{0.03}{\sqrt{\frac{0.2491}{400}}}=\frac{0.03}{\sqrt{0.00062275}}=\frac{0.03}{0.02495}=1.20$

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Problem 19243

Rationalize the denominator. $\frac{4 \sqrt{5}+\sqrt{10}}{8 \sqrt{5}-\sqrt{10}}$

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Problem 19244

5 Honors Question 1, $\mathbf{6 . 0 . 6 0}$ Points: 0 of 1
Determine the smallest number both the numerator and denominator should be multiplied by to rationalize the denominator of the radical expression. $\frac{2}{\sqrt[3]{3}}$

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Problem 19245

Given $f(x)=-x^{2}+4 x+10$ , find $f(-6)$
Answer Attempt 1 out of 2

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Problem 19246

at is the value of the expression below when $y=2$ ? $8 y-8$ Attempt 1 out of 2

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Problem 19247

4. Given the line whose equation is $2 y-6 x=10$ , for every one unit of increase in $x$ , which of the following is true about $y$ ? (Hint, rearrange into $y=m x+b$ form first.) (1) $y$ decreases by 6 (2) $y$ increases by 3 (3) $y$ increases by 2 (4) $y$ decreases by 10

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Problem 19248

Fill in the missing number. $115 \%$ of $\square$ $=69,000$
Submit

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Problem 19249

Multiply. Write your answer as a fraction or as a w $\frac{1}{2} \times \frac{1}{3} \times \frac{1}{2}=$ $\square$
Submit

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Problem 19250

$-5 \sin (0.5 x+1)$ amplitude: a period: d horizontal shift: $\qquad$

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Problem 19251

Official Time: 14:43:23
Question 2 [10 points] Find the characteristic polynomial of $A$ . Use $x$ for the variable in your polynomial. $A=\left[\begin{array}{cccc} 1 & -1 & -10 & 5 \\ 0 & -2 & 2 & 8 \\ 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 2 \end{array}\right]$ characteristic polynomial of $A$ is: 0 SUBMIT AND MARK

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Problem 19252

a) $\int\left(\frac{1}{3 x+2}+\cos (2 x)-\sqrt{x}\left(x^{3}+4\right)\right) d x$

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Problem 19253

$-5+w \geq-8$ , if $w=2$

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Problem 19254

Otricial Time: 14:44:47
Question 1 [10 points] Find the characteristic polynomial of $A$ . Use $x$ for the variable in your polynomial. You do not need to factor your polynomial. $A=\left[\begin{array}{ccc} 10 & 0 & 12 \\ 0 & 1 & 0 \\ -9 & 0 & -11 \end{array}\right]$ characteristic polynomial of $A$ is: 0 SUBMIT AND MARK SAVE ANL

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Problem 19255

b) $\int_{0}^{1} \frac{4 x^{3}}{x^{4}+9} d x$

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Problem 19256

Vérifier que $\forall Z \in \mathbb{C},|Z|^{2}=Z \bar{Z}$ . b) Montrer que $\forall Z_{1}, Z_{2} \in \mathbb{C}$ , $\left|Z_{1}+Z_{2}\right| \leq\left|Z_{1}\right|+\left|Z_{2}\right|,$ t que l'égalité a lieu si et seulement si $\arg \left(Z_{1}\right)=\arg \left(Z_{2}\right)[2 \pi]$ . c) Soient $A, B, C$ et $D$ quatre points deux à deux distincts et non alignés. Montrer ue : $A B \cdot C D+A D \cdot B C \geq A C \cdot B D,$ t que l'égalité a lieu si et seulement si les points $A, B, C, D$ sont cocycliques dans cet rdre.

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Problem 19257

uations. $\begin{array}{l} (2 x-y=-18) \\ (-x-3 y=-26) \\ 2 x-y=-18 \\ -x-3 y=-26 \\ \hline 0 x+\text { o } y= \end{array}$

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Problem 19258

6.Simplify: $\cos \left(\alpha+\frac{\pi}{2}\right)$ A. $\sin \alpha$ B. $\cos \alpha$ C. $-\sin \alpha$ D. $-\cos \alpha$

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Problem 19259

c) $2 \int(x+1) e^{x^{2}+2 x+3} d x$

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Problem 19260

20. $\frac{a b^{3}-9 a b}{12 a b^{2}+12 a b-144 a}$
21. $x^{2}+8 x+15$

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Problem 19261

Add. $\frac{3}{6}+\frac{7}{12}=$ $\square$
Use the model to help you. \begin{tabular}{|c|c|c|} \hline $\frac{1}{\mid}$ & $\frac{1}{6}$ & $\frac{1}{6}$ \\ \hline \end{tabular} $+$ \begin{tabular}{|l|l|l|l|l|l|l|} \hline $\frac{1}{12}$ & $\frac{1}{12}$ & $\frac{1}{12}$ & $\frac{1}{12}$ & $\frac{1}{12}$ & $\frac{1}{12}$ & $\frac{1}{12}$ \\ \hline \end{tabular}

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Problem 19262

$\begin{array}{r}3 x+y=10 \\ -2 x-y=-8\end{array}$

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Problem 19263

Question 10 (2 points) Statement: A function is a relation where each input can be paired with only one output. Choose if the statement is true or false. True False View hint for Question 10

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Problem 19264

Question Watch Video Show Ex
Simplify the expression to a + bi form: $(2+i)+(-11+2 i)$
Answer Attempt 1 out of 2 $\square$ Submit An

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Problem 19265

8. Describe the transformation from $y=\sqrt{x-5}+3$ to $y=\sqrt{x}+7$ .

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Problem 19266

Evaluate the expressions. $\begin{array}{r} 3^{0}= \\ -2\left(\frac{3}{5}\right)^{0}= \end{array}$

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Problem 19267

For what value of $x$ is $\log _{2} x=20$ ?

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Problem 19268

d) $\int_{e}^{e^{4}} \frac{d x}{x \sqrt{\ln x}}$

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Problem 19269

Express the following set in set-builder, notation. $B=\{1,2,3,4,5,6,7,8\}$

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Problem 19270

Evaluate the expression. $2^{6}$ CLEAR CHECK
12 26
36 64

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Problem 19271

Evaluate the expression. $3+(5 \div 1)$

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Problem 19272

Write the expression as a single logarithm. $\log _{2}(x+6)+\log _{2}(x+9)-2 \log _{2} x$ $\log _{2}(x+6)+\log _{2}(x+9)-2 \log _{2} x=$ $\square$ (Simplify your answer.)

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Problem 19273

Evaluate the expression. $2+1.4$

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Problem 19274

$\int_{-x} \sqrt{3+t^{6}} d t=$

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Problem 19275

Simplify. $\frac{y^{5}}{y^{7}}$

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Problem 19276

Question Watch Vi
Simplify the expression to a + bi form: $(-4-8 i)+(-9-8 i)$

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Problem 19277

$\left\{\begin{array}{l}x+y-z=2 \\ 2 x+4 y+z=-3 \\ 3 x+3 y-2 z=5\end{array}\right.$

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Problem 19278

Evaluate $\lim _{x \rightarrow 0} \frac{\ln (1-x)+x+\frac{x^{2}}{2}}{9 x^{3}}$
Hint: Use power series.
Answer: $\square$

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Problem 19279

$\frac{\pi}{2} \sin \left(3\left(\frac{\pi}{2}\right)\right.$

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Problem 19280

N) $\log _{3}(5 x-6)=\log _{3}(x+2)$

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Problem 19281

Express as a single logarithm and simplify, if possible. $\begin{array}{l} \frac{1}{4} \log _{c} x+4 \log _{c} y-5 \log _{c} x \\ \frac{1}{4} \log _{c} x+4 \log _{c} y-5 \log _{c} x= \end{array}$ $\square$ (Type your answer using exponential notation. Use integers or fractions for any numbers in the expression.)

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Problem 19282

$f(x)=\left\{\begin{array}{ll} -3 x^{2}+7 & x<-9 \\ 6 x^{2}+5 & -9 \leq x \leq 4 \\ 6 & x>4 \end{array}\right.$
Calculate $f(-6)$ $f(-6)=1301$ $f(-6)=221$ $f(-6)=6$ $f(-6)=-101$ $f(-6)=-211$

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Problem 19283

3. The substitution $u=y^{-1}$ transforms the $D E \frac{d y}{d x}+\frac{y}{x}=y^{2}$ a. $\frac{d u}{d x}=y$ b. $\frac{d u}{d x}=y^{2}$ c. $\frac{d u}{d x}=y^{-2}$ d. $\frac{d u}{d x}=y^{-1}$

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Problem 19284

Find an invertible matrix $P$ and a diagonal matrix $D$ such that $P^{-1} A P=D$ . $A=\left[\begin{array}{cccc} 2 & 0 & -9 & 9 \\ -5 & -3 & 9 & -9 \\ -12 & -12 & 1 & 0 \\ -12 & -12 & 2 & -1 \end{array}\right]$

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Problem 19285

3. At a seaport, the depth of the water, d , in meters, at time $t$ hours, during a certain day is given by: $\mathrm{d}=3.4 \sin \left(2 \pi \frac{(\mathrm{t}-7.00)}{10.6}\right)+2.8$ [4 marks] a) What is the depth of the water at $6: 30 \mathrm{pm}$ ? (Answer to the nearest hundredths). b) How long will the depth be above 4 metres during one full day of 24 hours?

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Problem 19286

(b) $(0,1)$ and $(2,2)$
The slope is $\square$ .

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Problem 19287

$\begin{array}{c} 21 x-6 y=54 \\ 9+y=3.5 x \end{array}$
4. The system of equations shown has how many solutions?

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Problem 19288

Simplify the following expression. $\begin{array}{l} \left(\frac{4 r^{-3}}{r^{3} s}\right)^{-3} \\ \left(\frac{4 r^{-3}}{r^{3} s}\right)^{-3}= \end{array}$ (Use integers or fractions for any numbers in the

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Problem 19289

Look at the following inequalities. $\begin{array}{l} 1,000,000>\frac{7}{23}, 0<\frac{7}{23}, 22>\frac{7}{23} \\ -1,000<\frac{7}{23},-\frac{18}{19}<\frac{7}{23}, \frac{7}{23}>0.2 \\ \frac{7}{23}<\frac{1}{2}, \frac{7}{23}<4 \frac{1}{6} \end{array}$ a. Which of the numbers above are the right of $\frac{7}{23}$ on a number line $\qquad$ b. Which of the numbers above are the left of $\frac{7}{23}$ on a number line?

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Problem 19290

$-k+4(k+1)=2 k$
Enter the correct answer in the box.
Show Hints $k=$

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Problem 19291

9. Show that $\tan 30^{\circ}+\frac{1}{\tan 30^{\circ}}=\frac{1}{\sin 30^{\circ} \cos 30^{\circ}}$ .

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Problem 19292

Evaluate the expression. $6^{2}+7-5$

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Problem 19293

Compute the curl of the vector field $\mathbf{F}=\langle 5 x-2 y,-(5 y+2 z), 5 z-2 x\rangle$ $\operatorname{curl} \mathbf{F}=$ $\square$

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Problem 19294

For each inequality, choose the statement that describes its solution. If applicable, give the solution. (a) $3(4-u)+3 u>16$ No solution u रे $\square$ $u>$ $\square$ All real numbers are solutions (b) $3(5 v+2) \leq 13 v+16$ No solution $v \leq$ $\square$ $v \geq$ $\square$ All real numbers are solutions

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Problem 19295

Nrite the complex number in trigonometric form $r(\cos \theta+i \boldsymbol{\operatorname { s i n }} \theta)$ , with $\theta$ in the interval $\left[0^{\circ}, 360^{\circ}\right)$ . $-3+3 i$ $-3+3 i=$ $\square$ $\square$ (cos ${ }^{\circ}+i \sin$ $\square$ ${ }^{\circ}$ ) (Type the value for $r$ as an exact answer, using radicals as needed. Type the value for $\theta$ as an integ nearest tenth as needed.)

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Problem 19296

Simplify. Write the expression in standard form. $\left(x^{3}+2 x^{2}-34 x+9\right) \div(x+7)$

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Problem 19297

Evaluate the expression. $(6+3) \cdot(7 \div 7)$

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Problem 19298

Calculate the curl of $\mathbf{F}=\left\langle e^{5 y}, \sin ^{7} x, \cos ^{2} x\right\rangle$ . $\operatorname{curl} \mathbf{F}=$ $\square$

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Problem 19299

Let $F(x)=\int_{0}^{x} \sin \left(7 t^{2}\right) d t$ . Find the MacLaurin polynomial of degree 7 for $F(x)$ .
Use this polynomial to estimate the value of $\int_{0}^{0.73} \sin \left(7 x^{2}\right) d x$ . $\square$

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Problem 19300

Find the sum of the pair of complex numbers. $\frac{1}{2}+\frac{5}{6} i, \frac{5}{6}+\frac{1}{2} i$
The sum is $\square$ . (Simplify your answer. Type your answer in the form a + bi. Use integers or fractions for any numbers in the expressic

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1 ...190 191 192 193 194 195 196 ...269

Math Statement

Problem 19201

ListenEvaluate the function for the given value of xxx. y=−9(3)x;x=−1y=□0φ\begin{array}{l} y=-9(3)^{x} ; x=-1 \\ y=\square \quad 0_{\varphi} \end{array}y=−9(3)x;x=−1y=□0φ​​ □\square□

Problem 19202

Given the equation q=Q0e−t/RCq=Q_{0} e^{-t / R C}q=Q0​e−t/RC, rearrange the equation to solve for ttt.

Problem 19203

Perform the operation. Write the answer in standard form. (4+i)(2−i)(4+i)(2-i)(4+i)(2−i) □\square□

Problem 19204

Problem 19205

Problem 19206

Problem 19207

Find the derivative of the function y(x)=5x⋅sen⁡(x) y(x) = 5^x \cdot \operatorname{sen}(x) y(x)=5x⋅sen(x).

Problem 19208

d(z−8)+5(z−8)=d(z-8)+5(z-8)=d(z−8)+5(z−8)=

Problem 19209

Solve the following equation and check your solution. −14y+12(−14y−11)=4418-14 y+12(-14 y-11)=4418−14y+12(−14y−11)=4418 y=y=y= □\square□ (Simplify your answer.)

Problem 19210

Problem 19211

Divide. Express your answer in lowest terms. 30x2+11xy−30y248x2−46xy+5y2÷25x2−60xy+36y240x2−53xy+6y2\frac{30 x^{2}+11 x y-30 y^{2}}{48 x^{2}-46 x y+5 y^{2}} \div \frac{25 x^{2}-60 x y+36 y^{2}}{40 x^{2}-53 x y+6 y^{2}}48x2−46xy+5y230x2+11xy−30y2​÷40x2−53xy+6y225x2−60xy+36y2​

Problem 19212

Divide. Express your answer in lowest terms. 30x2+11xy−30y248x2−46xy+5y2÷25x2−60xy+36y240x2−53xy+6y2\frac{30 x^{2}+11 x y-30 y^{2}}{48 x^{2}-46 x y+5 y^{2}} \div \frac{25 x^{2}-60 x y+36 y^{2}}{40 x^{2}-53 x y+6 y^{2}}48x2−46xy+5y230x2+11xy−30y2​÷40x2−53xy+6y225x2−60xy+36y2​

Problem 19213

UNIT 3 PRACTIC... Find the derivative of the following fun 11) y = ln(√x) 2 13) y = In ln x√√x+1 (x³-6)² 2 y JD = 1 (x²³-6)² +3 X√x+1 2√x+1 [(x³-6)² (x- ₤ (x²-6) (x+1)² + (x² -6) ху X√xFT (x²-6 ² 17 = (³·×+ h.1) ye + x = 43 -6

Problem 19214

Solve the inequality for www. 8w−11>6w−58 w-11>6 w-58w−11>6w−5Simplify your answer as much as possible.

Problem 19215

The graph of the equation representing compound interest is that of: A. linear function. B. quadratic function. C. exponential function. D. None of the above

Problem 19216

10. −612÷116-6 \frac{1}{2} \div 1 \frac{1}{6}−621​÷161​

Problem 19217

4. [12 marks] Find y′y^{\prime}y′; you do not have to simplify the answer algebraically: (a) y=5xtan⁡(x3)y=5 x \tan \left(x^{3}\right)y=5xtan(x3)

Problem 19218

4. 4{ }^{4}4 Find the volume of the solid formed by rotating the graph of y=1x(3−x)y=\frac{1}{\sqrt{x(3-x)}}y=x(3−x)​1​ around the xxx-axis, over the interval [1,2][1,2][1,2].

Problem 19219

(b) ∑n=1∞arctan⁡n\sum_{n=1}^{\infty} \arctan n∑n=1∞​arctann;

Problem 19220

Simplify. (x3−7x2+13x−15)÷(x−5)\left(x^{3}-7 x^{2}+13 x-15\right) \div(x-5)(x3−7x2+13x−15)÷(x−5)Put your answer in standard form. (no

Problem 19221

Number Theory and Fractions Unit TestExpress the prime factorization of 1,200 as a product of prime numbers with exponents. (2 points)4. □\square□ □\square□ 2=1,200{ }^{2}=1,2002=1,200 □\square□

Problem 19222

Solve the system. x2+8x+y+7=2y=−2x+4\begin{array}{c} x^{2}+8 x+y+7=2 \\ y=-2 x+4 \end{array}x2+8x+y+7=2y=−2x+4​

Problem 19223

−2+16-2+16−2+16

Problem 19224

−5+(−3)-5+(-3)−5+(−3)

Problem 19225

"Block and set" is the technique of having the actors go though their stage directions step by step very slowly and then going back right away full speed. True False

Problem 19226

Problem 19227

Jse the parent function f(x)=∣x∣f(x)=|x|f(x)=∣x∣ to graph g(x)=−∣x−4∣g(x)=-|x-4|g(x)=−∣x−4∣.

Problem 19228

1 Numeric 1 point What is p(4)p(4)p(4) for p(x)=4x2−5x−20p(x)=4 x^{2}-5 x-20p(x)=4x2−5x−20

Problem 19229

Solve the following:- 1−(32)2−(30)\begin{array}{l} 1-\binom{3}{2} \\ 2-\binom{3}{0} \end{array}1−(23​)2−(03​)​

Problem 19230

Use the information below to find the value of rrr. r=f(4f+m)f=−2m=14\begin{array}{c} r=f(4 f+m) \\ f=-2 \\ m=14 \end{array}r=f(4f+m)f=−2m=14​

Problem 19231

Evaluate the function d(x)=−2x+9d(x)=-2 x+9d(x)=−2x+9 when x=5x=5x=5.

Problem 19232

Express as a single logarithm and simplify, if possible. 13log⁡bx+5log⁡by−2log⁡bx\frac{1}{3} \log _{b} x+5 \log _{b} y-2 \log _{b} x31​logb​x+5logb​y−2logb​x

Problem 19233

Identify the property that justifies the statement z(2w+y)=(2w+y)zz(2 w+y)=(2 w+y) zz(2w+y)=(2w+y)z. A associative property of multiplication B commutative property of multiplication C multiplication property of equality D symmetric property of equality

Problem 19234

Find the interval of convergence and the radius of convergence for the series ∑n=1∞(x−5)nn2\sum_{n=1}^{\infty} \frac{(x-5)^{n}}{n^{2}}∑n=1∞​n2(x−5)n​.

Problem 19235

6. Describe the number and type of solutions to the equation. 2x2−6x+8=02 x^{2}-6 x+8=02x2−6x+8=0

Problem 19236

7. [6 marks] Find the equation of the tangent line to the graph of the relatio 3x4+5xy−3y2=13 x^{4}+5 x y-3 y^{2}=13x4+5xy−3y2=1 at the point (1,2)(1,2)(1,2).

Problem 19237

Rationalize the denominator of 8184\sqrt[4]{\frac{81}{8}}4881​​.

Problem 19238

Given the sequential instructions below. Identify the instructions suitable for parallelism and those that are not suitable. i. e=a+b\quad \mathrm{e}=\mathrm{a}+\mathrm{b}e=a+b ii. p=f+cp=f+cp=f+c iii. f=c+d\quad f=c+df=c+d iv. g=e∗fg=e * fg=e∗f

Problem 19239

71 Soit SnS_{n}Sn​ la somme définie pour tout n∈Nn \in \mathbb{N}n∈N par Sn=1+5+52+53+…+5nS_{n}=1+5+5^{2}+5^{3}+\ldots+5^{n}Sn​=1+5+52+53+…+5n.1. Exprimer SnS_{n}Sn​ en fonction de nnn.2. Déterminer limite de SnS_{n}Sn​ quand nnn tend vers +∞+\infty+∞ en justifiant.

Problem 19240

Rationalize the denominator of 416274 \sqrt{\frac{16}{27}}42716​​.

Problem 19241

4. Determine exact value for 2sin⁡112.5∘cos⁡112.5∘2 \sin 112.5^{\circ} \cos 112.5^{\circ}2sin112.5∘cos112.5∘ : A. 12\frac{1}{2}21​ B. −12-\frac{1}{2}−21​ C. 22\frac{\sqrt{2}}{2}22​​ D. −22-\frac{\sqrt{2}}{2}−22​​

Problem 19242

Problem 19243

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Evaluate the function for the given value of $x$ . $\begin{array}{l} y=-9(3)^{x} ; x=-1 \\ y=\square \quad 0_{\varphi} \end{array}$ $\square$

Given the equation $q=Q_{0} e^{-t / R C}$ , rearrange the equation to solve for $t$ .

Perform the operation. Write the answer in standard form. $(4+i)(2-i)$ $\square$

Find the derivative of the function $y(x) = 5^x \cdot \operatorname{sen}(x)$ .

$d(z-8)+5(z-8)=$

Solve the following equation and check your solution. $-14 y+12(-14 y-11)=4418$ $y=$ $\square$ (Simplify your answer.)

Divide. Express your answer in lowest terms. $\frac{30 x^{2}+11 x y-30 y^{2}}{48 x^{2}-46 x y+5 y^{2}} \div \frac{25 x^{2}-60 x y+36 y^{2}}{40 x^{2}-53 x y+6 y^{2}}$

Divide. Express your answer in lowest terms. $\frac{30 x^{2}+11 x y-30 y^{2}}{48 x^{2}-46 x y+5 y^{2}} \div \frac{25 x^{2}-60 x y+36 y^{2}}{40 x^{2}-53 x y+6 y^{2}}$

Solve the inequality for $w$ . $8 w-11>6 w-5$
Simplify your answer as much as possible.

10. $-6 \frac{1}{2} \div 1 \frac{1}{6}$

4. [12 marks] Find $y^{\prime}$ ; you do not have to simplify the answer algebraically: (a) $y=5 x \tan \left(x^{3}\right)$

4. ${ }^{4}$ Find the volume of the solid formed by rotating the graph of $y=\frac{1}{\sqrt{x(3-x)}}$ around the $x$ -axis, over the interval $[1,2]$ .

(b) $\sum_{n=1}^{\infty} \arctan n$ ;

Simplify. $\left(x^{3}-7 x^{2}+13 x-15\right) \div(x-5)$
Put your answer in standard form. (no

Number Theory and Fractions Unit Test
Express the prime factorization of 1,200 as a product of prime numbers with exponents. (2 points)
4. $\square$ $\square$ ${ }^{2}=1,200$ $\square$

Solve the system. $\begin{array}{c} x^{2}+8 x+y+7=2 \\ y=-2 x+4 \end{array}$

$-2+16$

$-5+(-3)$

Jse the parent function $f(x)=|x|$ to graph $g(x)=-|x-4|$ .

1 Numeric 1 point What is $p(4)$ for $p(x)=4 x^{2}-5 x-20$

Solve the following:- $\begin{array}{l} 1-\binom{3}{2} \\ 2-\binom{3}{0} \end{array}$

Use the information below to find the value of $r$ . $\begin{array}{c} r=f(4 f+m) \\ f=-2 \\ m=14 \end{array}$

Evaluate the function $d(x)=-2 x+9$ when $x=5$ .

Express as a single logarithm and simplify, if possible. $\frac{1}{3} \log _{b} x+5 \log _{b} y-2 \log _{b} x$

Identify the property that justifies the statement $z(2 w+y)=(2 w+y) z$ . A associative property of multiplication B commutative property of multiplication C multiplication property of equality D symmetric property of equality

Find the interval of convergence and the radius of convergence for the series $\sum_{n=1}^{\infty} \frac{(x-5)^{n}}{n^{2}}$ .

6. Describe the number and type of solutions to the equation. $2 x^{2}-6 x+8=0$

7. [6 marks] Find the equation of the tangent line to the graph of the relatio $3 x^{4}+5 x y-3 y^{2}=1$ at the point $(1,2)$ .

Rationalize the denominator of $\sqrt[4]{\frac{81}{8}}$ .

Given the sequential instructions below. Identify the instructions suitable for parallelism and those that are not suitable. i. $\quad \mathrm{e}=\mathrm{a}+\mathrm{b}$ ii. $p=f+c$ iii. $\quad f=c+d$ iv. $g=e * f$

71 Soit $S_{n}$ la somme définie pour tout $n \in \mathbb{N}$ par $S_{n}=1+5+5^{2}+5^{3}+\ldots+5^{n}$ .
1. Exprimer $S_{n}$ en fonction de $n$ .
2. Déterminer limite de $S_{n}$ quand $n$ tend vers $+\infty$ en justifiant.

Rationalize the denominator of $4 \sqrt{\frac{16}{27}}$ .

4. Determine exact value for $2 \sin 112.5^{\circ} \cos 112.5^{\circ}$ : A. $\frac{1}{2}$ B. $-\frac{1}{2}$ C. $\frac{\sqrt{2}}{2}$ D. $-\frac{\sqrt{2}}{2}$

Rationalize the denominator. $\frac{4 \sqrt{5}+\sqrt{10}}{8 \sqrt{5}-\sqrt{10}}$

5 Honors Question 1, $\mathbf{6 . 0 . 6 0}$ Points: 0 of 1
Determine the smallest number both the numerator and denominator should be multiplied by to rationalize the denominator of the radical expression. $\frac{2}{\sqrt[3]{3}}$

Given $f(x)=-x^{2}+4 x+10$ , find $f(-6)$
Answer Attempt 1 out of 2

at is the value of the expression below when $y=2$ ? $8 y-8$ Attempt 1 out of 2

4. Given the line whose equation is $2 y-6 x=10$ , for every one unit of increase in $x$ , which of the following is true about $y$ ? (Hint, rearrange into $y=m x+b$ form first.) (1) $y$ decreases by 6 (2) $y$ increases by 3 (3) $y$ increases by 2 (4) $y$ decreases by 10

Fill in the missing number. $115 \%$ of $\square$ $=69,000$
Submit

Multiply. Write your answer as a fraction or as a w $\frac{1}{2} \times \frac{1}{3} \times \frac{1}{2}=$ $\square$
Submit

$-5 \sin (0.5 x+1)$ amplitude: a period: d horizontal shift: $\qquad$

a) $\int\left(\frac{1}{3 x+2}+\cos (2 x)-\sqrt{x}\left(x^{3}+4\right)\right) d x$

$-5+w \geq-8$ , if $w=2$

b) $\int_{0}^{1} \frac{4 x^{3}}{x^{4}+9} d x$

uations. $\begin{array}{l} (2 x-y=-18) \\ (-x-3 y=-26) \\ 2 x-y=-18 \\ -x-3 y=-26 \\ \hline 0 x+\text { o } y= \end{array}$

6.Simplify: $\cos \left(\alpha+\frac{\pi}{2}\right)$ A. $\sin \alpha$ B. $\cos \alpha$ C. $-\sin \alpha$ D. $-\cos \alpha$

c) $2 \int(x+1) e^{x^{2}+2 x+3} d x$

20. $\frac{a b^{3}-9 a b}{12 a b^{2}+12 a b-144 a}$
21. $x^{2}+8 x+15$

$\begin{array}{r}3 x+y=10 \\ -2 x-y=-8\end{array}$

Question Watch Video Show Ex
Simplify the expression to a + bi form: $(2+i)+(-11+2 i)$
Answer Attempt 1 out of 2 $\square$ Submit An

8. Describe the transformation from $y=\sqrt{x-5}+3$ to $y=\sqrt{x}+7$ .

Evaluate the expressions. $\begin{array}{r} 3^{0}= \\ -2\left(\frac{3}{5}\right)^{0}= \end{array}$

For what value of $x$ is $\log _{2} x=20$ ?

d) $\int_{e}^{e^{4}} \frac{d x}{x \sqrt{\ln x}}$

Express the following set in set-builder, notation. $B=\{1,2,3,4,5,6,7,8\}$

Evaluate the expression. $2^{6}$ CLEAR CHECK
12 26
36 64

Evaluate the expression. $3+(5 \div 1)$

Evaluate the expression. $2+1.4$

$\int_{-x} \sqrt{3+t^{6}} d t=$