Math Statement

Problem 13601

22. If $f(x)=\frac{1}{1+x}$ and $g(x)=\frac{1}{2+x}$ , determine $f(g(x))$ .

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Problem 13602

$3(4-1)-5(6+3)=$

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Problem 13603

3. Convert between radians and degrees. Express answers exactly if possible, otherwise to a whole number of degrees or 3 decimal places for radians. [4 marks] a. $180^{\circ}$ b. 5 c. $13^{\circ}$ d. $\pi / 7$

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Problem 13604

True or False: 10 and $10 z$ are like terms. True False

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Problem 13605

$y=2 x-12$ \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 0 & \\ \hline & -2 \\ \hline 3 & \\ \hline \end{tabular}

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Problem 13606

Simplify $3 r+2 p-7 r+5$

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Problem 13607

Find the solution of the exponential equation $e^{2 x+1}=24$ in terms of logarithms, or correct to four decimal places. $x=$

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Problem 13608

Suppose that $f(x)=3 x^{2}+2 x-1$ and $g(x)=\left\{\begin{array}{lr} -4 x+4 & x<3 \\ 5 & 3 \leq x<9 \\ x+2 & x \geq 9 \end{array}\right.$
Find the following: (a) $(f \circ g)(3)=$ $\square$ (b) $(g \circ f)(-1)=$ $\square$

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Problem 13609

Let $f(x)=4 x+8$ and $g(x)=4-x^{2}$ . Evaluate the following:
1. $f(g(0))=$ $\square$
2. $g(f(0))=$ $\square$
Note: You can earn partial credit on this problem.

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Problem 13610

Consider the function $f(x)=2 x^{3}+21 x^{2}-48 x+11, \quad-8 \leq x \leq 2$ . Use the derivatives to algebraically answer the question:
This function has an absolutelminimum value equal to $\square$ and an absolute maximum value equal to $\square$ Question Help: Message instructor Submit Question Jump to Answer

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Problem 13611

Fully simplify $2 k+5-2 k+4 y$

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Problem 13612

Simplify $4 k+k+3$

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Problem 13613

Find a number $a$ such that $f \circ g=g \circ f$ , where $f(x)=5 x-5$ and $g(x)=a x-4$ . $a=$ Preview My Answers Submit Answers

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Problem 13614

Estimate the root(s) of the function $f(x)=x^{2}+x-55$ by integers. Seperate your answer(s) by commas. The roots are $\approx$ $\square$ Remark: When choosing a number to start Newton's method, it is important that you choose a number close to the root that you're trying to estimate (or else, Newton's method might end up giving you an estimate of the wrong root).

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Problem 13615

$S D=\sqrt{0.81}$

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Problem 13616

21. Tentukan peta dari kurva $y=2 x^{2}-3 x+5$ yang ditransformasikan dengan pencerminan terhadap garis $y=x$ dilanjutkan dengan rotasi terhadap titik pusat sebesar $90^{\circ}$ , dan kemudian ditranslasikan oleh vektor $\left[\begin{array}{c}4 \\ -5\end{array}\right]$ .

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Problem 13617

23. Let $A=\left[\begin{array}{rr}-6 & 12 \\ -3 & 6\end{array}\right]$ and $w=\left[\begin{array}{l}2 \\ 1\end{array}\right]$ . Determine if $w$ is in Col Al Is in in Nol A?
24. Let $A=\left[\begin{array}{rrr}-8 & -2 & -9 \\ 6 & 4 & 8 \\ 4 & 0 & 4\end{array}\right]$ and $w=\left[\begin{array}{r}2 \\ 1 \\ -2\end{array}\right]$ . Determine if w is in $\mathrm{Col} A$ . Is w in Nul A?
In Exercises 15 and 16 , find $A$ ouch that the given set is $\operatorname{Col} A$
15. $\left\{\left[\begin{array}{c}2 s+3 t \\ r+s-2 t \\ 4 r+s \\ 3 r-s-t\end{array}\right]: r, s, t\right.$ real $\}$
16. $\left\{\left[\begin{array}{c}b-c \\ 2 b+c+d \\ 5 c-4 d \\ d\end{array}\right]: b, c, d\right.$ real $\}$

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Problem 13618

Question Solve the following logarithm problem for the positive solution for $x$ . $\log _{36} x=\frac{1}{2}$

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Problem 13619

$\int_{0}^{1} \frac{3 x}{4 x^{2}-1} d x$

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Problem 13620

Solve the following logarithm problem for the positive solution for $x$ . $\log _{125} x=\frac{4}{3}$

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Problem 13621

Write the exponential equation as a logarithmic equation. $4^{-2}=\frac{1}{16}$

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Problem 13622

Write the logarithmic equation as an exponential equation. $\log _{5}\left(\frac{1}{\sqrt{125}}\right)=-\frac{3}{2}$

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Problem 13623

Question Write the logarithmic equation as an exponential equation. $\log _{2}(\sqrt{32})=\frac{5}{2}$

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Problem 13624

Find the derivative of the function $y = 2^x - \sqrt[3]{x^2} + 4 \arccos x$ .

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Problem 13625

2) semplifica l'espressione $\frac{\cos (\pi-\alpha) \sin \left(\frac{3 \pi}{2}+\alpha\right)}{\sin ^{2} \alpha} \tan (\alpha-\pi)+\tan \left(\frac{\pi}{2}+\alpha\right)$

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Problem 13626

Determine $\mu_{\mathrm{x}}^{-}$ and $\sigma_{\mathrm{x}}^{-}$ from the given parameters of the population and sample size. $\mu=53, \sigma=6, n=35$ $\begin{array}{l} \mu_{\bar{x}}=53 \\ \sigma_{\bar{x}}=\square \end{array}$ (Round to three decimal places as needed.)

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Problem 13627

LESSON 5.3 Worksheet A: (Topic 2.3 ) Directions: Convert the following equation
4. $y=e^{x-1}$
1. $2^{3}=8$
2. $10^{3}=1000$
Directions: Convert the following equations from logarithmic (log) form to exponential form.
5. $\log _{4} 1=0$
6. $\log \frac{1}{100}=-2$
7. $\log _{16} y=\frac{1}{2}$
8. $\ln x=4$
Directions: Evaluate the following expressions without a calculator.
9. $\log _{3} 9=2$
10. $\log _{6} \sqrt{36}=2$
11. $\ln 1$
12. $\log 10$
13. $\log _{4} \frac{1}{16}$
14. $\log _{2} 8$
15. $\ln e^{7}$
16. $\ln \frac{1}{e^{5}}$
17. $\log _{25} 5$
18. $\log _{16} 2$
19. $\log _{6} \sqrt{6}$
20. $\log _{9} \frac{1}{3}$

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Problem 13628

$\int \frac{1}{16-x^{2}} d x$

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Problem 13629

$9 \sqrt{12}-4 \sqrt{27}=n \sqrt{3}$

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Problem 13630

7. Given that $y=\frac{x^{3}}{(1-2 x)}$ , then $\frac{1}{y} \frac{\mathrm{~d} y}{\mathrm{~d} x}=$ (Hint: take logarithms of both sides and then (a) $\frac{3}{x}-\frac{1}{1-2 x}$ (b) $\frac{3}{x}+\frac{2}{1-2 x}$ (c) $\frac{3}{x}-\frac{2}{1-2 x}$ (d) $\frac{3}{x}+\frac{1}{1-2 x}$

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Problem 13631

2. Expand and simplify the following a) $2(3+x)+4 x$ b) $(x-3)(x+2)$ c) $(4 x-3)^{2}$

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Problem 13632

Jika $\tan x=2$ maka nilai $\frac{\sin x+\cos x}{\sin x-\cos x}=$ A 1. 3 2. 3. 4. 5.

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Problem 13633

$x(x+1)-56=4 x(x-7)$
What is the sum of the solutions to the given equation?

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Problem 13634

13 Mark for Review
The function $f(x)=\frac{1}{9}(x-7)^{2}+3$ gives a metal ball's height above the ground $f(x)$ , in inches, $x$ seconds after it started moving on a track, where $0 \leq x \leq 10$ . Which of the following is the best interpretation of the vertex of the graph of $y=f(x)$ in the $x y$ -plane? (A) The metal ball's minimum height was $\mathbf{3}$ inches above the ground. (B) The metal ball's minimum height was 7 inches above the ground. (C) The metal ball's height was 3 inches above the ground when it started moving. (D) The metal ball's height was 7 inches above the ground when it started moving.

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Problem 13635

tomework 7.1.39 HW Score: $30 \%, 3$ of 10 points Points: 0 of 1
Solve the system. State whether the system is inconsistent or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with $y$ arbitrary. $\begin{aligned} 2 x-6 y & =0 \\ -7 x+21 y & =17 \end{aligned}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. There is one solution. The solution set is $\square$ \}. (Simplify your answer. Type an ordered pair.) B. The system has infinitely many solutions. The solution set is $\square$ \}. (Simplify your answer. Type an ordered pair. Type an expression using $y$ as the variable.) C. The solution is the empty set, $\varnothing$ .

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Problem 13636

14 Mark for Review 420 $F(x)=\frac{9}{5}(x-273.15)+32$
The function $F$ gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of $x$ kelvins. If a temperature increased by 2.10 kelvins, by how much did the temperature increase, in degrees Fahrenheit? (A) 3.78 (B) 35.78 (C) 487.89 (D) 519.89

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Problem 13637

7.1 Homework 7.1.71 HW
Solve the following nonlinear system of equations analytically. $\begin{aligned} 3 x^{2}+2 y^{2} & =14 \\ x-y & =-3 \end{aligned}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer.) A. The solution set is $\square$ \}. (Type an ordered pair. Use a comma to separate answers as needed.) B. There are infinitely many solutions. The solution set is $\{$ $\square$ ,y) $\}$ , where $y$ is any real number. C. The solution set is $\varnothing$ .

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Problem 13638

7.1 Homework 7.1.71 Sco Poin
Solve the following nonlinear system of equations analytically. $\begin{aligned} 3 x^{2}+2 y^{2} & =14 \\ x-y & =-3 \end{aligned}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer.) A. The solution set is $\square$ B. (Type an ordered pair. Use a comma to separate answers as needed.) B. There are infinitely many solutions. The solution set is $\{(\square, y)\}$ , where $y$ is any real number. C. The solution set is $\varnothing$ .

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Problem 13639

Exercies find the second derivative of $y=f(x)$ at $x=0$ where $y$ is determined by $y^{5}+2 y-x-3 x^{7}=0$

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Problem 13640

Укажіть похідну функції $f(x)=-\operatorname{ctg} x+2 x^{5}$

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Problem 13641

11. $32 \div\left(2^{3}-4\right)$

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Problem 13642

Давайте теперь подробно решим задачу с использованием формулы Пуассона для волнового уравнения. Мы будем решать задачу Коши для уравнения: $u_{t t}=a^{2}\left(u_{x x}+u_{y y}\right)$
с начальными условиями: $u(x, y, 0)=0, \quad u_{t}(x, y, 0)=(2 x+3 y)^{2}$

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Problem 13643

$4.3+(8.4-5.1)$

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Problem 13644

$1.25 \times 4+3 \times 2 \div\left(\frac{1}{2}\right)^{3}$

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Problem 13645

Properties of Logarithms - Example 4 Write each of the following as a single logarithm. (a) $3 \ln 2+\ln \left(x^{2}\right)=\ln 2^{3}+\ln \left(x^{2}\right)=\ln \left(8 x^{2}\right)$

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Problem 13646

$\int \frac{x}{2 x^{2}+x+1} d x$

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Problem 13647

Use the special properties of logarithms to evaluate the expression $\log _{21} \frac{1}{21}$ . $\log _{21} \frac{1}{21}=$ $\square$ (Type an integer or a simplified fraction.)

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Problem 13648

Use a calculator to find the natural logarithm, base $e$ . $\begin{array}{l} \ln 67.47 \\ \ln 67.47= \end{array}$ $\square$ (Round to four decimal places as needed.)

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Problem 13649

Данная задача представляет собой задачу Коши для волнового уравнения в трёхмерном пространстве. Уравнение: $u_{t t}=9\left(u_{x x}+u_{y y}+u_{z z}\right)$
где $u(t, x, y, z)$ - функция, зависящая от времени $t$ и пространственных координат $x, y, z$ . Также даны начальные условия:
1. $u(t=0, x, y, z)=0$ ,
2. $\quad u_{t}(t=0, x, y, z)=(2 x+3 y+4 z)^{2}$ .

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Problem 13650

Submit Question
Question 2 $0 / 1$ pt 5 99 Details
ANOVA is a statistical procedure that compares two or more treatment conditions for differences in variance. True False
Question Help: Written Example Post to forum Submit Question

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Problem 13651

5 Consider the functions $P$ and $Q$ , defined as shown. $\begin{array}{l} P(x)=x^{2}+7 x-14 \\ Q(x)=-3 x+10 \end{array}$
In the $x y$ -coordinate plane, what are the coordinates of the points at which the graphs of the equations $y=P(x)$ and $y=Q(x)$ intersect? Explain how you determined your answer. Enter your answer and your explanation in the space provided.

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Problem 13652

Solve the inequality. $\begin{array}{l} \frac{x}{4} \leq x+3 \\ x \geq[?] \end{array}$

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Problem 13653

Find the relative maximums of the function $f(x) = (2x-1)(x+4)(x-2)$ .

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Problem 13654

15 points)Solve the system analytically. 3) $\begin{array}{l} 4 x+5 y+z=-31 \\ 5 x-2 y-z=-5 \\ 2 x+y+5 z=-29 \end{array}$

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Problem 13655

Given the following information: $\begin{array}{l} 2 \mathrm{~A}(\mathrm{~g})+\mathrm{B}(\mathrm{~g}) \leftrightharpoons \mathrm{A}_{2} \mathrm{~B}(\mathrm{~g}) \mathrm{K}_{\mathrm{p} 1} \\ 2 \mathrm{~A}(\mathrm{~g})+\mathrm{C}_{2}(\mathrm{~g}) \leftrightharpoons 2 \mathrm{AC}(\mathrm{~g}) \mathrm{K}_{\mathrm{p} 2} \\ 3 / 2 \mathrm{~A}_{2}(\mathrm{~g})+\mathrm{B}(\mathrm{~g})+\mathrm{C}(\mathrm{~g}) \leftrightharpoons \mathrm{AC}(\mathrm{~g})+\mathrm{A} \\ { }_{2} \mathrm{~B}(\mathrm{~g}) \mathrm{K}_{\mathrm{p} 3} \end{array}$
Which relationship represents the equilibrium constant for the reaction: $3 \mathrm{~A}_{2}(\mathrm{~g})+3 \mathrm{~B}(\mathrm{~g})+2 \mathrm{C}(\mathrm{g}) \leftrightharpoons 3 \mathrm{~A}_{2} \mathrm{~B}(\mathrm{~g})+$ $\mathrm{C}_{2}(\mathrm{~g}) \mathrm{K}_{\text {net }}=$ ? $K_{n e t}=K_{p 1} \times K_{p 2} \times K_{p 3}$ $K_{\text {net }}=K_{p 1}-K_{p 2}+2 K_{p 3}$ $K_{n e t}=K_{p 1} \times K_{p 3}{ }^{2} / K_{p 2}$ $K_{\text {net }}=K_{p 1} \times 2 K_{p 3} / K_{p 2}$ $K_{\text {net }}=K_{p 1} \times K_{p 2} \times K_{p 3}{ }^{2}$

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Problem 13656

Oblicz: $\int\left(4-x^{2}\right) \sqrt{2-x} d x$

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Problem 13657

ZADANIE 2 Wyznacz punkty przegięcia funkcji: $f(x)=\frac{x}{x^{2}+1}$ $\int(x)=\frac{x}{x^{2}+1}$

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Problem 13658

Question Watch Video Show Exampres
If $f(x)$ is an exponential function of the form of $y=a b^{x}$ where $f(2)=9$ and $f(3.5)=41$ , then find the value of $f(6)$ , to the nearest hundredth.
Answer Attempt 1 out of 2 Submit Answer

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Problem 13659

Question Watch Video Show Examples
If $f(x)$ is an exponential function of the form of $y=a b^{x}$ where $f(-2)=10$ and $f(1)=41$ , then find the value of $f(-1)$ , to the nearest hundredth.
Answer Attempt 1 out of 2 Virtual keyboard 今国 $\square$ Submit Answer

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Problem 13660

$\begin{array}{l}\text { 17. } x+y=6 \\ 4 y-4 x=12\end{array}$

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Problem 13661

$2 y-5=y+4$

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Problem 13662

Given the line $y=3 x-1$
What is the slope of a line parallel to this line? $\mathrm{m}=$ $\square$
What is the equation of the line parallel to the given line that passes through the point $(-1,3)$ ? $y^{\prime \prime}=$ $\square$

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Problem 13663

Let $X$ be a random variable with a CDF equal to $F(x)=c \cdot\left(\frac{1}{1.5}-x e^{-x}\right) \cdot \mathbb{1}_{[1.8 ; \infty)}(x)$ , where $c$ is a constant. Find $c$ :
Answer: 3.361 $\square$
The correct answer is: 1.500
For the random variable defined aboveP $(X \in[3.96 ; \infty))$ amounts to
Answer: $\square$ 1

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Problem 13664

Rewrite in simplest rational exponent form $\sqrt{x} \cdot \sqrt[4]{x}$ . Show each step of your process.

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Problem 13665

(5) $3 x-6=-9$

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Problem 13666

2. [-/3 Points] DETAILS MY NOTES SCALCET9 11.10.062.
Evaluate the indefinite integral as an infinite series. $\begin{array}{r} \int \arctan \left(x^{6}\right) d x \\ \sum_{n=0}^{\infty}(\square)+c \end{array}$ Need Help? Readif Submit Answer

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Problem 13667

A graphing calculator will be available for this question. If $\log _{2 b} x^{5}=T_{\text {and }} b>\frac{1}{2}$ , then $x=$ $(2 b)^{5 T}$ $2 b^{5 T}$ $\frac{(2 b)^{T}}{5}$ $(2 b)^{\frac{T}{5}}$ $2 b^{\frac{T}{5}}$

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Problem 13668

If $(x-\sqrt{5})(x+\sqrt{5})=5$ , what is the value of $x$ ? $\pm 5$ $5 \pm \sqrt{5}$ $\pm \sqrt{10}$ $-5 \pm \sqrt{5}$ $\pm \sqrt{30}$

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Problem 13669

Rewrite in simplest radical form $\frac{x^{\frac{5}{6}}}{x^{\frac{1}{6}}}$ .Show each step of your process.

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Problem 13670

Find the solutions of $x^{2}-4 x+1=0$ to the nearest thousandth. $x=0.812,3.445$ $x=1.294,4.818$ $x=-4.022,0.938$ $x=-0.238,1.901$ $x=0.268,3.732$

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Problem 13671

Find the equation of the axis of symmetry for the parabola $y=-x^{2}+2 x+7$
Simplify any numbers and write them as proper fractions, improper fractions, or integers. $\square$
Save answer

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Problem 13672

Express $z=\sqrt{2}-\sqrt{2} i$ in polar form.
This gives $r=$ and $\theta=$ $\square$ $\pi$ , where $\theta \in[0,2 \pi) .$

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Problem 13673

Simplify the expression. $\left(x^{\frac{1}{15}}\right)^{5}$

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Problem 13674

Solve the equation for x $\sqrt{x+4}-7=1$

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Problem 13675

Rewrite the expression with rational exponents as a radical expression. $4 x^{\frac{3}{7}}$

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Problem 13676

$\sin \left(\frac{7 \pi}{2}+\alpha\right)+\cos (6 \pi-\alpha)+\tan \left(\frac{7 \pi}{2}+\alpha\right) \cos \left(\frac{3 \pi}{2}-\alpha\right)+\sin ^{2}\left(\frac{\pi}{2}+\alpha\right)+\sin ^{2}(-\alpha)$

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Problem 13677

3) Given the equation: $\sqrt{4 x+17}=x-1$ a) What type of equation is this? (1) Linear (3) Cubic (2) Quadratic (4) Square Root

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Problem 13678

1. Solve this DE using Exact Techrique $\frac{d y}{d x}=\frac{y-y^{2}}{2 x y+1}, \quad y>1$

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Problem 13679

f. $\quad 15^{x}=125$

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Problem 13680

Evaluate $f^{\prime}(x)$ at $x=1$ . $\begin{array}{l} \text { Evaluate } f^{\prime}(x) \text { at } x=1 . \\ f^{\prime}(1)=\square \end{array}$

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Problem 13681

Given the function $f(x)=-3 \sqrt{2(x+5)}+0$ find the following: The vertex of the function is $\square$ The domain of the function is $\square$ How many $x$ intercepts does the function have? $\square$ The range of the function is $\square$ How many $y$ intercepts does the function have? $\square$

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Problem 13682

Use the imaginary number $i$ to rewrite the expression below as a complex number. Simplify all radicals. $\sqrt{-77}$ $\square$ i $\square$ Submit

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Problem 13683

Use the imaginary number $i$ to rewrite the expression below as a complex number. Simplify all radicals. $-18+\sqrt{-5}$ $\square$ i $\sqrt{ }$ Submit

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Problem 13684

Use the imaginary number $i$ to rewrite the expression below as a complex number. Simplify all radicals. $\sqrt{-4}$ $\square$ i Submit

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Problem 13685

b) $\sum_{n=1}^{\infty} \frac{(-1)^{n}}{3^{n}}$

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Problem 13686

$4^{7}$

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Problem 13687

K. 1 Introduction to complex numbers 5 V
Use the imaginary number $i$ to rewrite the expression below as a complex number. Simplify all radicals. $16-\sqrt{-49}$

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Problem 13688

Two functions are shown below. $\begin{array}{l} f(x)=2 x^{3}+2 x-3 \\ g(x)=-0.5|x-4| \end{array}$
What is the $y$ -value when $f(x)=g(x)$ ?

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Problem 13689

d) $\frac{\left(-3 a b^{-2}\right)^{5}}{\left(-9 a^{2} b^{-6}\right)^{2}}$

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Problem 13690

Use the imaginary number $i$ to rewrite the expression below as a complex number. Simplify all radicals. $\sqrt{-29}$ $\square$ i $\square$ Submit

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Problem 13691

Part 2: Name:
8. (6 points each) Solve the following equations analytically. Show every step and simplify your answers. Be sure to give exact answers. (a) $\frac{5000}{1+2 e^{-3 t}}=4000$ (b) $7^{3+7 x}=3^{4-5 x}$

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Problem 13692

A function is shown below. $h(x)=\left\{\begin{array}{ll} -\frac{1}{2} x-15 & \text { for } x \leq-4 \\ 20-3 x^{2} & \text { for } x>-4 \end{array}\right.$
What is the value of $h(-4)+3 h(-2)$ ?

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Problem 13693

Solve the equation $y=\frac{\frac{3 y+2}{16 y^{2}+24 y+8}-\frac{5}{4 y+4}=\frac{4}{4 y+2}}{\# \#}$

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Problem 13694

Question 2
Factor completely. $4 x^{2}-7 x+3$ $(x-1)(4 x-3)$ $(x-3)(4 x+1)$ $(2 x-1)(2 x-3)$ $(2 x-1)(2 x+3)$

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Problem 13695

400. If $x+1 / x=\sqrt{13}$ , then $3 x /\left(x^{2}-1\right)$ equal to (a) $3 \sqrt{13}$ (c) 1 (b) $\frac{\sqrt{13}}{13}$ (d) 3 (SSC MTS 2018)

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Problem 13696

Factor by grouping. $x^{2}+6 x-9 x-54$ $(x+6)(x-3)$ $(x-6)(x-9)$ $2(3 x-27)$ $(x+6)(x-9)$

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Problem 13697

Stelle die Formel $f_{0}=\frac{60}{\sqrt{m^{\prime} \cdot d}}$ nach $d$ um.

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Problem 13698

Factor completely. $64 x^{2}-16$ $8\left(8 x^{2}-2\right)$ $16(2 x+1)(2 x-1)$ $4(4 x+2)(4 x-2)$ $8(8 x+2)(8 x-2)$

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Problem 13699

[-/1 Points] DETAILS MY NOTES SPRECALC8 7.4.032.
Find all solutions of the given equation. (Enter your answers as a comma-separated list. Let $k$ be any integer. Do not round coefficients $\begin{array}{l} \sqrt{3} \cot (\theta)+1=0 \\ \theta=\square \end{array}$ $\square$ Submit Ahswer

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Problem 13700

$\int e^{\sin (x)} \times \cos (x) d x$

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1 ...134 135 136 137 138 139 140 ...270

Math Statement

Problem 13601

22. If f(x)=11+xf(x)=\frac{1}{1+x}f(x)=1+x1​ and g(x)=12+xg(x)=\frac{1}{2+x}g(x)=2+x1​, determine f(g(x))f(g(x))f(g(x)).

Problem 13602

3(4−1)−5(6+3)=3(4-1)-5(6+3)=3(4−1)−5(6+3)=

Problem 13603

3. Convert between radians and degrees. Express answers exactly if possible, otherwise to a whole number of degrees or 3 decimal places for radians. [4 marks] a. 180∘180^{\circ}180∘ b. 5 c. 13∘13^{\circ}13∘ d. π/7\pi / 7π/7

Problem 13604

True or False: 10 and 10z10 z10z are like terms. True False

Problem 13605

y=2x−12y=2 x-12y=2x−12 \begin{tabular}{|c|c|} \hlinexxx & yyy \\ \hline 0 & \\ \hline & -2 \\ \hline 3 & \\ \hline \end{tabular}

Problem 13606

Simplify 3r+2p−7r+53 r+2 p-7 r+53r+2p−7r+5

Problem 13607

Find the solution of the exponential equation e2x+1=24e^{2 x+1}=24e2x+1=24 in terms of logarithms, or correct to four decimal places. x=x=x=

Problem 13608

Problem 13609

Let f(x)=4x+8f(x)=4 x+8f(x)=4x+8 and g(x)=4−x2g(x)=4-x^{2}g(x)=4−x2. Evaluate the following:1. f(g(0))=f(g(0))=f(g(0))= □\square□2. g(f(0))=g(f(0))=g(f(0))= □\square□Note: You can earn partial credit on this problem.

Problem 13610

Problem 13611

Fully simplify 2k+5−2k+4y2 k+5-2 k+4 y2k+5−2k+4y

Problem 13612

Simplify 4k+k+34 k+k+34k+k+3

Problem 13613

Find a number aaa such that f∘g=g∘ff \circ g=g \circ ff∘g=g∘f, where f(x)=5x−5f(x)=5 x-5f(x)=5x−5 and g(x)=ax−4g(x)=a x-4g(x)=ax−4. a=a=a= Preview My Answers Submit Answers

Problem 13614

Problem 13615

SD=0.81S D=\sqrt{0.81}SD=0.81​

Problem 13616

Problem 13617

Problem 13618

Question Solve the following logarithm problem for the positive solution for xxx. log⁡36x=12\log _{36} x=\frac{1}{2}log36​x=21​

Problem 13619

∫013x4x2−1dx\int_{0}^{1} \frac{3 x}{4 x^{2}-1} d x∫01​4x2−13x​dx

Problem 13620

Solve the following logarithm problem for the positive solution for xxx. log⁡125x=43\log _{125} x=\frac{4}{3}log125​x=34​

Problem 13621

Write the exponential equation as a logarithmic equation. 4−2=1164^{-2}=\frac{1}{16}4−2=161​

Problem 13622

Write the logarithmic equation as an exponential equation. log⁡5(1125)=−32\log _{5}\left(\frac{1}{\sqrt{125}}\right)=-\frac{3}{2}log5​(125​1​)=−23​

Problem 13623

Question Write the logarithmic equation as an exponential equation. log⁡2(32)=52\log _{2}(\sqrt{32})=\frac{5}{2}log2​(32​)=25​

Problem 13624

Find the derivative of the function y=2x−x23+4arccos⁡x y = 2^x - \sqrt[3]{x^2} + 4 \arccos x y=2x−3x2​+4arccosx.

Problem 13625

Problem 13626

Problem 13627

Problem 13628

∫116−x2dx\int \frac{1}{16-x^{2}} d x∫16−x21​dx

Problem 13629

912−427=n39 \sqrt{12}-4 \sqrt{27}=n \sqrt{3}912​−427​=n3​

Problem 13630

Problem 13631

2. Expand and simplify the following a) 2(3+x)+4x2(3+x)+4 x2(3+x)+4x b) (x−3)(x+2)(x-3)(x+2)(x−3)(x+2) c) (4x−3)2(4 x-3)^{2}(4x−3)2

Problem 13632

Jika tan⁡x=2\tan x=2tanx=2 maka nilai sin⁡x+cos⁡xsin⁡x−cos⁡x=\frac{\sin x+\cos x}{\sin x-\cos x}=sinx−cosxsinx+cosx​= A 1. 3 2. 3. 4. 5.

Problem 13633

x(x+1)−56=4x(x−7)x(x+1)-56=4 x(x-7)x(x+1)−56=4x(x−7)What is the sum of the solutions to the given equation?

Problem 13634

Problem 13635

Problem 13636

Problem 13637

Problem 13638

Problem 13639

Exercies find the second derivative of y=f(x)y=f(x)y=f(x) at x=0x=0x=0 where yyy is determined by y5+2y−x−3x7=0y^{5}+2 y-x-3 x^{7}=0y5+2y−x−3x7=0

Problem 13640

Укажіть похідну функції f(x)=−ctg⁡x+2x5f(x)=-\operatorname{ctg} x+2 x^{5}f(x)=−ctgx+2x5

Problem 13641

11. 32÷(23−4)32 \div\left(2^{3}-4\right)32÷(23−4)

Problem 13642

Problem 13643

4.3+(8.4−5.1)4.3+(8.4-5.1)4.3+(8.4−5.1)

Problem 13644

1.25×4+3×2÷(12)31.25 \times 4+3 \times 2 \div\left(\frac{1}{2}\right)^{3}1.25×4+3×2÷(21​)3

Problem 13645

Properties of Logarithms - Example 4 Write each of the following as a single logarithm. (a) 3ln⁡2+ln⁡(x2)=ln⁡23+ln⁡(x2)=ln⁡(8x2)3 \ln 2+\ln \left(x^{2}\right)=\ln 2^{3}+\ln \left(x^{2}\right)=\ln \left(8 x^{2}\right)3ln2+ln(x2)=ln23+ln(x2)=ln(8x2)

Problem 13646

∫x2x2+x+1dx\int \frac{x}{2 x^{2}+x+1} d x∫2x2+x+1x​dx

Problem 13647

Use the special properties of logarithms to evaluate the expression log⁡21121\log _{21} \frac{1}{21}log21​211​. log⁡21121=\log _{21} \frac{1}{21}=log21​211​= □\square□ (Type an integer or a simplified fraction.)

22. If $f(x)=\frac{1}{1+x}$ and $g(x)=\frac{1}{2+x}$ , determine $f(g(x))$ .

$3(4-1)-5(6+3)=$

3. Convert between radians and degrees. Express answers exactly if possible, otherwise to a whole number of degrees or 3 decimal places for radians. [4 marks] a. $180^{\circ}$ b. 5 c. $13^{\circ}$ d. $\pi / 7$

True or False: 10 and $10 z$ are like terms. True False

$y=2 x-12$ \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 0 & \\ \hline & -2 \\ \hline 3 & \\ \hline \end{tabular}

Simplify $3 r+2 p-7 r+5$

Find the solution of the exponential equation $e^{2 x+1}=24$ in terms of logarithms, or correct to four decimal places. $x=$

Let $f(x)=4 x+8$ and $g(x)=4-x^{2}$ . Evaluate the following:
1. $f(g(0))=$ $\square$
2. $g(f(0))=$ $\square$
Note: You can earn partial credit on this problem.

Fully simplify $2 k+5-2 k+4 y$

Simplify $4 k+k+3$

Find a number $a$ such that $f \circ g=g \circ f$ , where $f(x)=5 x-5$ and $g(x)=a x-4$ . $a=$ Preview My Answers Submit Answers

$S D=\sqrt{0.81}$

Question Solve the following logarithm problem for the positive solution for $x$ . $\log _{36} x=\frac{1}{2}$

$\int_{0}^{1} \frac{3 x}{4 x^{2}-1} d x$

Solve the following logarithm problem for the positive solution for $x$ . $\log _{125} x=\frac{4}{3}$

Write the exponential equation as a logarithmic equation. $4^{-2}=\frac{1}{16}$

Write the logarithmic equation as an exponential equation. $\log _{5}\left(\frac{1}{\sqrt{125}}\right)=-\frac{3}{2}$

Question Write the logarithmic equation as an exponential equation. $\log _{2}(\sqrt{32})=\frac{5}{2}$

Find the derivative of the function $y = 2^x - \sqrt[3]{x^2} + 4 \arccos x$ .

$\int \frac{1}{16-x^{2}} d x$

$9 \sqrt{12}-4 \sqrt{27}=n \sqrt{3}$

2. Expand and simplify the following a) $2(3+x)+4 x$ b) $(x-3)(x+2)$ c) $(4 x-3)^{2}$

Jika $\tan x=2$ maka nilai $\frac{\sin x+\cos x}{\sin x-\cos x}=$ A 1. 3 2. 3. 4. 5.

$x(x+1)-56=4 x(x-7)$
What is the sum of the solutions to the given equation?

Exercies find the second derivative of $y=f(x)$ at $x=0$ where $y$ is determined by $y^{5}+2 y-x-3 x^{7}=0$

Укажіть похідну функції $f(x)=-\operatorname{ctg} x+2 x^{5}$

11. $32 \div\left(2^{3}-4\right)$

$4.3+(8.4-5.1)$

$1.25 \times 4+3 \times 2 \div\left(\frac{1}{2}\right)^{3}$

Properties of Logarithms - Example 4 Write each of the following as a single logarithm. (a) $3 \ln 2+\ln \left(x^{2}\right)=\ln 2^{3}+\ln \left(x^{2}\right)=\ln \left(8 x^{2}\right)$

$\int \frac{x}{2 x^{2}+x+1} d x$

Use the special properties of logarithms to evaluate the expression $\log _{21} \frac{1}{21}$ . $\log _{21} \frac{1}{21}=$ $\square$ (Type an integer or a simplified fraction.)

Use a calculator to find the natural logarithm, base $e$ . $\begin{array}{l} \ln 67.47 \\ \ln 67.47= \end{array}$ $\square$ (Round to four decimal places as needed.)

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Question 2 $0 / 1$ pt 5 99 Details
ANOVA is a statistical procedure that compares two or more treatment conditions for differences in variance. True False
Question Help: Written Example Post to forum Submit Question

Solve the inequality. $\begin{array}{l} \frac{x}{4} \leq x+3 \\ x \geq[?] \end{array}$

Find the relative maximums of the function $f(x) = (2x-1)(x+4)(x-2)$ .

15 points)Solve the system analytically. 3) $\begin{array}{l} 4 x+5 y+z=-31 \\ 5 x-2 y-z=-5 \\ 2 x+y+5 z=-29 \end{array}$

Oblicz: $\int\left(4-x^{2}\right) \sqrt{2-x} d x$

ZADANIE 2 Wyznacz punkty przegięcia funkcji: $f(x)=\frac{x}{x^{2}+1}$ $\int(x)=\frac{x}{x^{2}+1}$

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If $f(x)$ is an exponential function of the form of $y=a b^{x}$ where $f(2)=9$ and $f(3.5)=41$ , then find the value of $f(6)$ , to the nearest hundredth.
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$\begin{array}{l}\text { 17. } x+y=6 \\ 4 y-4 x=12\end{array}$

$2 y-5=y+4$

Given the line $y=3 x-1$
What is the slope of a line parallel to this line? $\mathrm{m}=$ $\square$
What is the equation of the line parallel to the given line that passes through the point $(-1,3)$ ? $y^{\prime \prime}=$ $\square$

Rewrite in simplest rational exponent form $\sqrt{x} \cdot \sqrt[4]{x}$ . Show each step of your process.

(5) $3 x-6=-9$

If $(x-\sqrt{5})(x+\sqrt{5})=5$ , what is the value of $x$ ? $\pm 5$ $5 \pm \sqrt{5}$ $\pm \sqrt{10}$ $-5 \pm \sqrt{5}$ $\pm \sqrt{30}$

Rewrite in simplest radical form $\frac{x^{\frac{5}{6}}}{x^{\frac{1}{6}}}$ .Show each step of your process.

Find the solutions of $x^{2}-4 x+1=0$ to the nearest thousandth. $x=0.812,3.445$ $x=1.294,4.818$ $x=-4.022,0.938$ $x=-0.238,1.901$ $x=0.268,3.732$

Find the equation of the axis of symmetry for the parabola $y=-x^{2}+2 x+7$
Simplify any numbers and write them as proper fractions, improper fractions, or integers. $\square$
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Express $z=\sqrt{2}-\sqrt{2} i$ in polar form.
This gives $r=$ and $\theta=$ $\square$ $\pi$ , where $\theta \in[0,2 \pi) .$

Simplify the expression. $\left(x^{\frac{1}{15}}\right)^{5}$

Solve the equation for x $\sqrt{x+4}-7=1$