Math Statement

Problem 3401

$y=5^{x}$ A) B) C)

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Problem 3402

Write the expression as a sum and/or difference of logarithms. Express exponents as factors. $\log _{6} \frac{\sqrt{x}}{y^{3}}$ A) $\frac{3}{2}\left(\log _{6} x-\log _{6} y\right)$ B) $\log _{6} \frac{x}{2}-\log _{6} 3 y$ C) $\frac{1}{2} \log _{6} x+3 \log _{6} y$ D) $\frac{1}{2} \log _{6} x-3 \log _{6} y$

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Problem 3403

Change to an equivalent expression involving a logarithm. $9^{x}=23$ A) $\log _{9} x=23$ B) $\log _{23} 9=x$ C) $\log _{23} x=9$ D) $\log _{9} 23=x$

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Problem 3404

Change to an equivalent expression involving an exponent. $\log _{b} r=s$ A) $b^{5}=r$ B) $b^{r}=s$ C) $r^{b}=s$ D) $r^{s}=b$

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Problem 3405

6.013. $a_{2}=2 ; d=1 ; a_{n}=18$ A. 15 B. 16 C. 17 D. 18 E. 19 6.014. $a_{3}=5,5 ; a_{1}=1,5 ; a_{n}=11,5$ A. 6 B. 7 C. 8 D. 9 E. 10

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Problem 3406

24) $3 x+2 y=8$

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Problem 3407

Use elimination (addition) to solve the system. $\begin{array}{c} \left\{\begin{array}{l} 2 c+3 d=-5 \\ 3 c-2 d=12 \end{array}\right. \\ (c, d)=(\square) \end{array}$
Submit Answer

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Problem 3408

R تيرين الارول: حل مل مادلات ثالية في a) $3 x+5=-5 x-12$ b) $5(x-2)=7(4 x-9)$ c) $(3 x+10)(6 x+3)=0$ d) $81 x^{2}=64$ e) $x(3 x-7)(-2 x+4)=0$ f) $(3+x)^{2}=100$ a) $3 x>5$ b) $4 x+7<-2 x-8$ c) $3(x-5) \geq 2(x+3)$ e) $2(1-3 x) \geq 4 x+7$

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Problem 3409

$4 \times 272562625252(5949 \div 31.6534)=?$

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Problem 3410

B. The slope is undefined. 4
Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points. $(-6,-9)$ and $(5,3)$ $\qquad$ $\qquad$ $x 2 y 2$

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Problem 3411

$\left|\begin{array}{cccc}1 & 2 & -3 & 4 \\ -5 & 6 & 0 & -2 \\ 0 & 2 & 0 & 4 \\ 0 & 5 & 0 & -4\end{array}\right|$

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Problem 3412

Find the zeros and give the multiplicity of each for $f(x)=x^{3}(x-8)^{4}(x+4)^{2}$ .
Note: to be counted as correct, you must get all answers correct. - One zero is $x=$ $\square$ and has a multiplicity of $\square$ help (numbers) - Another zero is $x=$ $\square$ and has a multiplicity of: $\square$ help (numbers) - The last zero is $x=$ $\square$ and has a multiplicity of: $\square$ help (numbers)

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Problem 3413

Follow the seven step strategy to graph the following rational function. $f(x)=\frac{-x}{x+5}$
To graph the function, first determine the symmetry of the graph of f . Choose the correct answer below. y -axis symmetry origin symmetry neither $y$ -axis symmetry nor origin symmetry What is the $y$ -intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The $y$ -intercept is $\square$ . (Type an integer or a simplified fraction.) B. There is no $y$ -intercept.

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Problem 3414

$-6 x-6>-18$ OR $-7 x+4 \leq-17$

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Problem 3415

$48+-5 a=18$

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Problem 3416

Solve the inequality. Graph the solution set. $|7-4 x| \leq 19$
Use the tools to enter your answer.
WebAssign. NumberLine Help
Write the solution set using interval notation. (If there is no solution, enter NO SOLUTION.) $\square$ Need Help? Read It Watch It

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Problem 3417

7 Найдите значение выражения $\frac{18 \sin 174^{\circ} \cdot \cos 174^{\circ}}{\sin 348^{\circ}}$ . Oтвет: $\qquad$

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Problem 3418

10pts...DETERMINE SLOPE $\& x / y$ INTERCEPTS (Show Work...Check as Needed) $y=m x+b$ 4) $f(x)=6 x+24$ 5) $3 x-4 y=-12$ $y=\frac{3}{4} x+b$

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Problem 3419

Replace the quantity $\mathbf{S}$ by its numerical value in the text below. Question 1: Solve the following equations: b) $\frac{5}{2 a}+\frac{1}{6 a}-\frac{3}{a}=49$

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Problem 3420

Find the area of the region bounded by $y=3 x^{2}+1 \text {, }$ the $x$ -axis, $x=-2$ , and $x=3$ .
As your answer, please input the value of the area.

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Problem 3421

$f(x)=x^{2}+5 x+p$ where $x \in \mathbb{R},-3 \leq p \leq 8$ , and $p \in \mathbb{Z}$ . (i) Find the value of $p$ for which $x+3$ is a factor of $f(x)$ .

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Problem 3422

Solve the equation. $\frac{x}{x^{2}-9}-\frac{x+4}{x^{2}-3 x}=\frac{-6}{x^{2}+3 x}$
Select the correct choice below and fill in any answer boxes in your choice. A. The solution set is $\square$ - (Simplify your answer.) B. There is no solution.

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Problem 3423

Find the real solutions of the equation. $4+\sqrt{2 x+7}=x$
Select the correct choice below and, if necessary, fill in the answer box to complete your answer. A. The solution set is $\square$ \}. (Simplify your answer. Use a comma to separate answers as needed.) B. The solution is the empty set.

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Problem 3424

(5) $\left[\left(2^{6}\right)^{4}: 2^{3} \cdot\left(2^{6}+2^{6}\right)-4^{6}: 2^{10}\right]:\left(2^{28}-2^{2}\right)+9$ .

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Problem 3425

The point at which a company's profits equal zero is called the company's break-even point. Let R represent a company's revenue, let C represent the company's costs, and let $x$ represent the number of units produced and sold each day. $\begin{array}{l} R(x)=5 x \\ C(x)=3.5 x+750 \end{array}$ (a) Find the firm's break-even point; that is, find x so that $\mathrm{R}=\mathrm{C}$ . (b) Find the values of $x$ such that $R(x)>C(x)$ . This represents the number of units that the company must sell to earn a profit. (a) $x=$ $\square$ (Type a whole number.) (b) Solve the inequality for $x$ . Type the correct inequality symbol in the first answer box below, and type an integer in the second answer box. $\square$

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Problem 3426

$\int\left(e^{x^{2}} \cdot 2 x\right) d x$

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Problem 3427

Nov 16 moodle.straighterline.com My Account Topic 3: Systems of Linear Equations in Two Variables \begin{tabular}{r|l|} \hline rted on & Friday, November 15, 2024, 6:32 PM \\ \hline State & Finished \\ eted on & Friday, November $15,2024,7: 06 \mathrm{PM}$ \\ \hline e taken & 34 mins 2 secs \\ \hline Grade & 90.00 out of $125.00(72 \%)$ \end{tabular}
Simplify the expression $-27+9(y+8)$ .
Select one: A. $9 y+45$ B. $y+45$ C. $9 y-19$ D. $72 y-27$
Simplify the expression $\sqrt[5]{\frac{-32}{243}}$ . Select one: 2

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Problem 3428

16. (a) Express 10500 in term of its prime factors

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Problem 3429

10pts...SIMPLIFY \& GRAPH (Select 2 of 3 \& Show Work...Check Work) 8) $5 x-y \leq 4$ 9) $f(x)=|x-3|$ 10) $y>|x+4|+2$

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Problem 3430

-10- 10

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Problem 3431

2. Reduce the ratio to its lowest possible terms: 24 : 42

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Problem 3432

$15+3 c<9$

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Problem 3433

Multiply the rational expressions and express the product in simplest form. $\frac{2 d^{2}+9 d-35}{d^{2}+6 d-7} \cdot \frac{3 d^{2}-5 d+2}{3 d^{2}+19 d-14}=$ $\square$

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Problem 3434

Solve. $-6 x^{2}-2-3 x=-8$

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Problem 3435

c) $\left(-2 x^{2} y-3 x y^{2}-5 x^{2}+6 y^{2}\right)-\left(-2 x^{2} y+4 x y^{2}-5 x^{2}+6 y^{2}\right)$

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Problem 3436

```latex \left(1-\frac{1}{50}\right)\left(1-\frac{2}{50}\right)\left(1-\frac{3}{50}\right) \cdots \left(1-\frac{91}{50}\right)\left(1-\frac{98}{50}\right)\left(\frac{50}{99}-1\right) ```

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Problem 3437

Use the Fundamental Theorem of Calculus to find the derivative of $f(x)=\int_{\sqrt{x}}^{x^{2}} \arctan \left(t^{2}+4\right) d t$

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Problem 3438

The $n^{\text {th }}$ term of a sequence is given by $5 n-2$
What is the $8^{\text {th }}$ term of this sequence?

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Problem 3439

The $n^{\text {th }}$ term of a sequence is given by $20-3 n$
Work out the first three terms in the sequence. Give your answers in order.

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Problem 3440

The $n^{\text {th }}$ term of a sequence is given by $T(n)=8 n+9$
Work out the $5^{\text {th }}$ term of this sequence.

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Problem 3441

For Problems 1-5. start by drawing an arrow for the first addend in the sum. Draw two arrows to represent this addition calculation. Then. complete the equation. $5+3=$
Draw two arrows to represent this addition calculation. Then. complete the equation. $5+-3=$
3 Draw two arrows to represent this addition calculation. Then. complete the equation. $-5+-3=$
Draw two arrows to represent this addition calculation. Then. complete the equation. $-5+3=$
Draw two arrows to represent this addition calculation. Then. complete the equation. $3+-5=-2$
6 The calculations in Problems 4 and 5 show that addition of integens is

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Problem 3442

The $n^{\text {th }}$ term of a sequence is given by $T(n)=5 n^{2}$
What are the first three terms of the sequence? Give your answers in order.

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Problem 3443

Which of the following conditions are necessary to conclude that the series $\sum_{n=1}^{\infty} a_{n}$ converges using the alternating series test? I. The terms $a_{n}$ alternate in sign for all $n \geq N$ for some positive integer $N$ . II. $\lim _{n \rightarrow \infty} a_{n}=0$ III. $\left|a_{n+1}\right| \leq\left|a_{n}\right|$ for all $n \geq N$ for some positive integer $N$ . (A) Ionly (B) I and II only
C II and III only (D) I, II, and III

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Problem 3444

For the following function, find the $x$ -intercept(s), the $y$ -intercept, the vertical asymptote(s), and the horizontal asymptote. $f(x)=\frac{x^{2}+x-2}{x^{2}-4}$ (Enter ordered pairs for intercepts, and equations for asymptotes, or type "NONE" if appropriate.) a. $x$ -intercept(s): $\square$ b. $y$ -intercept: $\square$ c. Vertical Asymptote(s): $\square$ d. Horizontal Asymptote: $\square$

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Problem 3445

Which of the following series converges conditionally? (A) $1-\frac{3}{2}+\left(\frac{3}{2}\right)^{2}-\left(\frac{3}{2}\right)^{3}+\cdots+\left(-\frac{3}{2}\right)^{n-1}+\cdots$ (B) $1-\frac{2}{1!}+\frac{2^{2}}{2!}-\frac{2^{3}}{3!}+\cdots+\frac{(-2)^{-1}}{(n-1)!}+\cdots$ (C) $1-\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}-\frac{1}{\sqrt{4}}+\cdots+\frac{(-1)^{-1}}{\sqrt{3}}+\cdots$ (D) $1-\frac{1}{5}+\left(\frac{1}{5}\right)^{2}-\left(\frac{1}{5}\right)^{3}+\cdots+\left(-\frac{1}{5}\right)^{n-1}+\cdots$

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Problem 3446

Rational Functions
Fof the following function, find the $x$ -intercept(s), the $y$ -intercept, the vertical asymptote(s), and the horizontal asymptote. $f(x)=\frac{(x-7)(x+7)(x+1)}{(x-8)^{2}(x-6)}$ (Enter ordered pairs for intercepts, and equations for asymptotes.) (Use commas to separate multiple answers, or type "NONE" if appropriate.) a. $x$ -intercept(s): $\square$ b. $y$ -intercept: $\square$ c. Vertical Asymptote(s): $\square$ d. Horizontal Asymptote: $\square$

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Problem 3447

Mark for Review 4
Which of the following statements must be true about the series $\sum_{n=0}^{\infty} a_{n}$ with positive terms if $\lim _{n \rightarrow \infty} \frac{a_{n+1}}{a_{n}}=L$ ? (A) The series converges if $L=\frac{1}{2}$ .
B The series converges if $L=1$ . (C) The series converges if $L=2$ . (D) The series converges if $L=\infty$ .

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Problem 3448

Which of the following series converge?
1. $\sum_{n=1}^{\infty} n\left(\frac{1}{e}\right)^{n}$ II. $\sum_{n=1}^{\infty} \frac{n!}{100^{n}}$ III. $\sum_{n=1}^{\infty} \frac{(n!)^{2}}{(2 n)!}$ (A) Ionly
C land llonly (D) I and ili only

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Problem 3449

Rewrite this expression using addition. $-1-3$

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Problem 3450

For the following function, find the $x$ -intercept(s), the $y$ -intercept, the vertical asymptote(s), and the horizontal asymptote. $f(x)=\frac{x^{2}-5 x+4}{x^{2}-16}$ (Enter ordered pairs for intercepts, and equations for asymptotes, or type "NONE" if appropriate.) a. $x$ -intercept(s): $\square$ b. $y$ -intercept: $\square$ c. Vertical Asymptote(s): $\square$ d. Horizontal Asymptote: $\square$

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Problem 3451

Which of the following series can be shown to converge by using the ratio test? (A) $\sum_{n=1}^{\infty} \frac{\sqrt{n}}{n+10}$ (B) $\sum_{n=1}^{\infty} \frac{n^{10}}{10^{n}}$ (C) $\sum_{n=1}^{\infty} \frac{\ln (n)}{n^{2}}$ (D) $\sum_{n=1}^{\infty} \frac{n+1}{n^{4}}$

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Problem 3452

13 Mark for Review
Consider the series $\sum_{n=1}^{\infty}(-1)^{n+1} a_{n}$ , where $a_{n}>\frac{1}{n}$ for all $n$ and the sequence $\left\{a_{n}\right\}$ decreases with limit
0. Which of the following statements is true? (A) The series converges absolutely. (B) The series converges conditionally.
C The series diverges. (D) There is not enough information to determine whether the series converges or diverges.

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Problem 3453

14 Mark for Review
The alternating series test can be used to check for convergence for which of the following series?
1. $\sum_{n=1}^{\infty}(-1)^{n+1} \frac{n}{n^{2}+100}$ II. $\sum_{n=1}^{\infty}(-1)^{n+1} \frac{n+3}{100 n+3}$ III. $\sum_{n=1}^{\infty}(-1)^{n+1} a_{n,}$ where $a_{n}=\left\{\begin{array}{ll}\frac{1}{n} & \text { if } n \text { is odd } \\ \frac{1}{n^{2}} & \text { if } n \text { is even }\end{array}\right.$ (A) None (B) Ionly (C) I and III only (D) I, II, and III
AP Classroom Question 14 of 15 Aack Nent

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Problem 3454

$81 x^{2}-1$

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Problem 3455

Rewrite the expression with rational exponents. $\begin{array}{c} \sqrt[3]{6} \\ \sqrt[3]{6}= \end{array}$

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Problem 3456

$121 - 144x^2$

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Problem 3457

Rewrite the expression using radical notation. $(216)^{\frac{1}{3}}=$ $\square$ (Do not simplify. Type an exact antwer, using radicals as needed.) Now simplify. $(216)^{\frac{1}{3}}=$ $\square$ (Simplify your answer.)

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Problem 3458

$49 - 36x^2$

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Problem 3459

$10^{3}=$
Submit

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Problem 3460

Evaluate. Write your answer as a de $(0.7)^{2}=$ $\square$ Submit

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Problem 3461

simplity: $\left(\frac{4^{2}}{6^{3}}\right)^{4}$

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Problem 3462

(d) $P(|X-Y|=1)$ .
320. Supozoni se tre ndryshore tê rastëstahone $X_{1}, X_{2}$ dhe $X_{3}$ kuné qué shpermalarge tel perbashkèt tẽ vachducshme si vijon: $f\left(x_{1}, x_{2}, x_{3}\right)=\left\{\begin{array}{ll} c\left(x_{1}+2 x_{2}+3 x_{3}\right) & \text { për } 0 \leq x_{i} \leq 1(i=1,2,3) \\ 0 & \text { ndryshe } \end{array}\right.$
Pëncaktoni (a) vlerën e konstantēs c; (b) Funksioni i densitetve për $X_{1}$ dhe $X_{3}$ ; the $P\left(X_{3}<1 / 2 \mid X_{1}=1 / 4, X_{2}=3 / 4\right)$

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Problem 3463

Factor $x^{2}+12x+36$ .

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Problem 3464

(i) Ind $\int_{0}^{5}(x+1) d x$ as himit (ii) $\int_{-1}^{1} e^{x} d x$ as himit of sum (iii) Craburte $\int_{0}^{1} \frac{1}{1+x^{2}} d x$

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Problem 3465

Is the statement true or false? $6<8$
Answer
TRUE FALSE

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Problem 3466

Soit g la fonction définie par $g(x)=\frac{\sqrt{x-3}-2}{\sqrt{x-3}+2}$ $\left.1^{\circ}\right)$ Donner le domaine de définition de $g$ . $2^{\circ}$ ) a) Calculer $g(x)-g(3)$ b) Déduire que $g$ admet un minimum en 3 $\left.3^{\circ}\right)$ Montrer que $g$ est majoré par 1

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Problem 3467

$\int_{1}^{2}\left(4 x^{3}-5 x^{2}+6 x+9\right) d x$

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Problem 3468

Evaluate by interpreting it in terms of areas. $\int_{-1}^{3}(2-x) d x$

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Problem 3469

In winter with heavy snow falls, the animals in Yellowstone cannot freely roam to find food, so hay is dropped for them from helicopters. A helicopter 180 feet above the ground drops a bale of hay while the helicopter itself is raising 32 feet per second. The height, (in feet) of the bale as a function of time is given by $s(t)=-16 t^{2}+32 t+180$ where $t$ is the time since drop off (in seconds).
Statement True False
The height of the ball after 2 seconds is 112 feet.
The height of the ball after 3 seconds is 132 feet.
The value of $h(3)$ represents the height of the ball after 3 seconds.
The value of $h(9)$ has no meaning as the height of the ball cannot be negative.

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Problem 3470

What are the domain and range of $f(x)=\log x-5$ ? domain: $x>0$ ; range: all real numbers domain: $x<0$ ; range: all real numbers domain: $x>5$ ; range: $y>5$ domain: $x>5$ ; range: $y>-5$

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Problem 3471

$-5x - \frac{2}{3}x$

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Problem 3472

$2 a-\frac{3}{4} a=$

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Problem 3473

What are the domain and range of $f(x)=\log (x+6)-4$ ? domain: $x>-6$ ; range: $y>4$ domain: $x>-6$ ; range: all real numbers domain: $x>6$ ; range: $y>-4$ domain: $x>6$ ; range: all real numbers

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Problem 3474

$-5 x-\frac{2}{3} x$

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Problem 3475

Which logarithmic equation is equivalent to $3^{2}=9 ?$ $2=\log _{3} 9$ $2=\log _{9} 3$ $3=\log _{2} 9$ $3=\log _{8} 2$

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Problem 3476

$\log _{2}(3 x+1)-\log _{2} 2=3$

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Problem 3477

If $f(x)=x^{2}-10 x$ \begin{tabular}{|c|c|c|} \hline $y$ -intercept & Choose... & - \\ \hline The graph is & Choose. & - \\ \hline Discriminant $\Delta$ & Choose... & - \\ \hline Head Vertex is & Choose... & - \\ \hline x-intercept & Choose... & * \\ \hline \end{tabular}

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Problem 3478

$\frac{10}{3} a-3 a-\frac{a}{3}=$

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Problem 3479

Select the best choice to show the following expression factored completely. $6 x^{2}+48 x-54$ $6(x-3)(x-3)$ $2(3 x+27)(x-1)$ $3(2 x+18)(x-1)$ $6(x-9)(x+1)$ $6(x+9)(x-1)$ $2(x-9)(x-3)$ $3(x-6)(x-3)$

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Problem 3480

21) Express the result of the following calculation, to the proper number of significant figures: $(0.02739) \times(-240,000)$

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Problem 3481

The value of $\frac{a(b+2 c)}{2 c(b-3 a)}$ , where $a=2, b=1, c=-1$ is
Select one: a. $\frac{-3}{8}$ b. $\frac{3}{8}$ C. $\frac{1}{5}$ d. $\frac{-1}{5}$

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Problem 3482

Factor $x y+4 y-5 x-20$
Question Help: $\square$ Video D Post to forum Submit Question

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Problem 3483

$2 \frac{1}{10}+8 \frac{2}{5}=$ $\square$
Submit

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Problem 3484

Solve the equation $8 z^{2}-6 z-9=0$ . Answer: $z=$ $\square$
Write your answers as a list of integers or reduced fractions, with your a For example, if you get 4 and $-\frac{2}{3}$ as your answers, thren enter $4,-2 / 3$ in

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Problem 3485

Use transformations of $f(x)=\frac{1}{x}$ to graph $g(x)=\frac{1}{x+2}-6$

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Problem 3486

$12 \frac{1}{3}-3 \frac{2}{9}=$

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Problem 3487

If $x=-4$ is a solution for $x^{2}-2 x+c=0$ then the other solution is= a. 6 b. -6 C. -2 d. 2

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Problem 3488

$-\frac{a}{3}+\frac{b}{4}+a-2 b$

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Problem 3489

29. $\frac{6 x^{3}-19 x^{2}+14 x-15}{3 x^{2}-2 x+4}$

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Problem 3490

Given $f(x)=3 x^{2}+x-7$ and $g(x)=-4 x^{2}+3 x+1$ , find $(f+g)(3)$

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Problem 3491

30. $\frac{8 m^{3}-18 m^{2}+37 m-13}{2 m^{2}-3 m+6}$

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Problem 3492

Given $f(x)=x+17$ and $g(x)=5 x^{2}+3 x-14$ , find $(f-g)(-2)$ .

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Problem 3493

Given the following functions: - $f(x)=x^{2}-4 x+2$ - $g(x)=2 x^{2}-3$
Determine $f \circ g(x)$ .

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Problem 3494

nential \& Logarithmic Equations Question 17, 4.5.57 HW Score: $70.09 \%, 164$ of 234 points Points: 0 of 10
Solve for $x$ $\log _{8} x+\log _{8}(x-12)=2$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set is (Simplify your answer. Type an integer or a decimal. Use a comma to separate answers as needed) B. The solution is the empty set.

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Problem 3495

(7) If $\log _{4}\left(\frac{1}{2}\right)=x$ , then the value of $x$ equal : a. 2 c. 0.25 b. 0.5 (d.) -0.5 (8) If $y=3 a x+3$ and $y=\frac{-x}{12}-1$ are two perpendicular lines, then the value of $a$ is: (a) 4 $3 a \cdot \frac{1+}{12}=t^{\prime}$ b. -4 c. 0.25 d. -0.25

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Problem 3496

C) $\frac{3}{x+2}-\frac{1}{x}=\frac{1}{5 x}$

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Problem 3497

For a standard normal distribution, which of the following expressions must always be equal to 1? $P(z \leq-a)-P(-a \leq z \leq a)-P(z \geq a)$ $P(z \leq-a)-P(-a \leq z \leq a)+P(z \geq a)$ $P(z \leq-a)+P(-a \leq z \leq a)-P(z \geq a)$ $P(z \leq-a)+P(-a \leq z \leq a)+P(z \geq a)$

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Problem 3498

Write the fraction in lowest terms. $\frac{32}{56}=$

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Problem 3499

Solve the system with the addition method: $\left\{\begin{array}{lll} 6 x+4 y & = & -4 \\ -24 x-16 y & = & 16 \end{array}\right.$
Answer: $\square$ $\square$ Enter your answers as integers or as reduced fraction(s) in the form A/B. If there is no solution, type "DNE" in each blank. If there are an infinite number of solutions, specify their form in the blanks in terms of $x$ (eg. (x, 2x-3)).

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Problem 3500

Exercise 2. Say whether the following arguments are correct, and give there negation.
1. 30 is a multiple of 5 and 2 divides 25.
2. 30 is a multiple of 5 or $2+3=1$
3. $\forall x \in \mathbb{R}, \forall y \in \mathbb{R}, x+y>0$
4. $\exists x \in \mathbb{R}, \forall y \in \mathbb{R}, x+y>0$
5. $\forall x \in \mathbb{R}, \exists y \in \mathbb{R}, x+y>0$
6. $\exists x \in \mathbb{R}, \forall y \in \mathbb{R}, y^{2}>x$
7. $\exists x \in \mathbb{R}, \exists y \in \mathbb{R}: x^{2}+y^{2} \geq 9$

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1 ...32 33 34 35 36 37 38 ...270

Math Statement

Problem 3401

y=5xy=5^{x}y=5x A) B) C)

Problem 3402

Problem 3403

Change to an equivalent expression involving a logarithm. 9x=239^{x}=239x=23 A) log⁡9x=23\log _{9} x=23log9​x=23 B) log⁡239=x\log _{23} 9=xlog23​9=x C) log⁡23x=9\log _{23} x=9log23​x=9 D) log⁡923=x\log _{9} 23=xlog9​23=x

Problem 3404

Change to an equivalent expression involving an exponent. log⁡br=s\log _{b} r=slogb​r=s A) b5=rb^{5}=rb5=r B) br=sb^{r}=sbr=s C) rb=sr^{b}=srb=s D) rs=br^{s}=brs=b

Problem 3405

6.013. a2=2;d=1;an=18a_{2}=2 ; d=1 ; a_{n}=18a2​=2;d=1;an​=18 A. 15 B. 16 C. 17 D. 18 E. 19 6.014. a3=5,5;a1=1,5;an=11,5a_{3}=5,5 ; a_{1}=1,5 ; a_{n}=11,5a3​=5,5;a1​=1,5;an​=11,5 A. 6 B. 7 C. 8 D. 9 E. 10

Problem 3406

24) 3x+2y=83 x+2 y=83x+2y=8

Problem 3407

Use elimination (addition) to solve the system. {2c+3d=−53c−2d=12(c,d)=(□)\begin{array}{c} \left\{\begin{array}{l} 2 c+3 d=-5 \\ 3 c-2 d=12 \end{array}\right. \\ (c, d)=(\square) \end{array}{2c+3d=−53c−2d=12​(c,d)=(□)​Submit Answer

Problem 3408

Problem 3409

4×272562625252(5949÷31.6534)=?4 \times 272562625252(5949 \div 31.6534)=?4×272562625252(5949÷31.6534)=?

Problem 3410

B. The slope is undefined. 4Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points. (−6,−9)(-6,-9)(−6,−9) and (5,3)(5,3)(5,3) \qquad \qquad x2y2x 2 y 2x2y2

Problem 3411

∣12−34−560−20204050−4∣\left|\begin{array}{cccc}1 & 2 & -3 & 4 \\ -5 & 6 & 0 & -2 \\ 0 & 2 & 0 & 4 \\ 0 & 5 & 0 & -4\end{array}\right|∣∣​1−500​2625​−3000​4−24−4​∣∣​

Problem 3412

Problem 3413

Problem 3414

−6x−6>−18-6 x-6>-18−6x−6>−18 OR −7x+4≤−17-7 x+4 \leq-17−7x+4≤−17

Problem 3415

48+−5a=1848+-5 a=1848+−5a=18

Problem 3416

Solve the inequality. Graph the solution set. ∣7−4x∣≤19|7-4 x| \leq 19∣7−4x∣≤19Use the tools to enter your answer.WebAssign. NumberLine HelpWrite the solution set using interval notation. (If there is no solution, enter NO SOLUTION.) □\square□ Need Help? Read It Watch It

Problem 3417

7 Найдите значение выражения 18sin⁡174∘⋅cos⁡174∘sin⁡348∘\frac{18 \sin 174^{\circ} \cdot \cos 174^{\circ}}{\sin 348^{\circ}}sin348∘18sin174∘⋅cos174∘​. Oтвет: \qquad

Problem 3418

10pts...DETERMINE SLOPE &x/y\& x / y&x/y INTERCEPTS (Show Work...Check as Needed) y=mx+by=m x+by=mx+b 4) f(x)=6x+24f(x)=6 x+24f(x)=6x+24 5) 3x−4y=−123 x-4 y=-123x−4y=−12 y=34x+by=\frac{3}{4} x+by=43​x+b

Problem 3419

Replace the quantity S\mathbf{S}S by its numerical value in the text below. Question 1: Solve the following equations: b) 52a+16a−3a=49\frac{5}{2 a}+\frac{1}{6 a}-\frac{3}{a}=492a5​+6a1​−a3​=49

Problem 3420

Find the area of the region bounded by y=3x2+1, y=3 x^{2}+1 \text {, }y=3x2+1, the xxx-axis, x=−2x=-2x=−2, and x=3x=3x=3.As your answer, please input the value of the area.

Problem 3421

f(x)=x2+5x+pf(x)=x^{2}+5 x+pf(x)=x2+5x+p where x∈R,−3≤p≤8x \in \mathbb{R},-3 \leq p \leq 8x∈R,−3≤p≤8, and p∈Zp \in \mathbb{Z}p∈Z. (i) Find the value of ppp for which x+3x+3x+3 is a factor of f(x)f(x)f(x).

Problem 3422

Problem 3423

Problem 3424

(5) [(26)4:23⋅(26+26)−46:210]:(228−22)+9\left[\left(2^{6}\right)^{4}: 2^{3} \cdot\left(2^{6}+2^{6}\right)-4^{6}: 2^{10}\right]:\left(2^{28}-2^{2}\right)+9[(26)4:23⋅(26+26)−46:210]:(228−22)+9.

Problem 3425

Problem 3426

∫(ex2⋅2x)dx\int\left(e^{x^{2}} \cdot 2 x\right) d x∫(ex2⋅2x)dx

Problem 3427

Problem 3428

16. (a) Express 10500 in term of its prime factors

Problem 3429

10pts...SIMPLIFY \& GRAPH (Select 2 of 3 \& Show Work...Check Work) 8) 5x−y≤45 x-y \leq 45x−y≤4 9) f(x)=∣x−3∣f(x)=|x-3|f(x)=∣x−3∣ 10) y>∣x+4∣+2y>|x+4|+2y>∣x+4∣+2

Problem 3430

-10- 10

Problem 3431

2. Reduce the ratio to its lowest possible terms: 24 : 42

Problem 3432

15+3c<915+3 c<915+3c<9

Problem 3433

Multiply the rational expressions and express the product in simplest form. 2d2+9d−35d2+6d−7⋅3d2−5d+23d2+19d−14=\frac{2 d^{2}+9 d-35}{d^{2}+6 d-7} \cdot \frac{3 d^{2}-5 d+2}{3 d^{2}+19 d-14}=d2+6d−72d2+9d−35​⋅3d2+19d−143d2−5d+2​= □\square□

Problem 3434

Solve. −6x2−2−3x=−8-6 x^{2}-2-3 x=-8−6x2−2−3x=−8

Problem 3435

c) (−2x2y−3xy2−5x2+6y2)−(−2x2y+4xy2−5x2+6y2)\left(-2 x^{2} y-3 x y^{2}-5 x^{2}+6 y^{2}\right)-\left(-2 x^{2} y+4 x y^{2}-5 x^{2}+6 y^{2}\right)(−2x2y−3xy2−5x2+6y2)−(−2x2y+4xy2−5x2+6y2)

Problem 3436

```latex \left(1-\frac{1}{50}\right)\left(1-\frac{2}{50}\right)\left(1-\frac{3}{50}\right) \cdots \left(1-\frac{91}{50}\right)\left(1-\frac{98}{50}\right)\left(\frac{50}{99}-1\right) ```

Problem 3437

Use the Fundamental Theorem of Calculus to find the derivative of f(x)=∫xx2arctan⁡(t2+4)dtf(x)=\int_{\sqrt{x}}^{x^{2}} \arctan \left(t^{2}+4\right) d tf(x)=∫x​x2​arctan(t2+4)dt

Problem 3438

The nth n^{\text {th }}nth term of a sequence is given by 5n−25 n-25n−2What is the 8th 8^{\text {th }}8th term of this sequence?

Problem 3439

The nth n^{\text {th }}nth term of a sequence is given by 20−3n20-3 n20−3nWork out the first three terms in the sequence. Give your answers in order.

Problem 3440

The nth n^{\text {th }}nth term of a sequence is given by T(n)=8n+9T(n)=8 n+9T(n)=8n+9Work out the 5th 5^{\text {th }}5th term of this sequence.

Problem 3441

Problem 3442

The nth n^{\text {th }}nth term of a sequence is given by T(n)=5n2T(n)=5 n^{2}T(n)=5n2What are the first three terms of the sequence? Give your answers in order.

Problem 3443

Problem 3444

Problem 3445

Problem 3446

$y=5^{x}$ A) B) C)

Change to an equivalent expression involving a logarithm. $9^{x}=23$ A) $\log _{9} x=23$ B) $\log _{23} 9=x$ C) $\log _{23} x=9$ D) $\log _{9} 23=x$

Change to an equivalent expression involving an exponent. $\log _{b} r=s$ A) $b^{5}=r$ B) $b^{r}=s$ C) $r^{b}=s$ D) $r^{s}=b$

6.013. $a_{2}=2 ; d=1 ; a_{n}=18$ A. 15 B. 16 C. 17 D. 18 E. 19 6.014. $a_{3}=5,5 ; a_{1}=1,5 ; a_{n}=11,5$ A. 6 B. 7 C. 8 D. 9 E. 10

24) $3 x+2 y=8$

Use elimination (addition) to solve the system. $\begin{array}{c} \left\{\begin{array}{l} 2 c+3 d=-5 \\ 3 c-2 d=12 \end{array}\right. \\ (c, d)=(\square) \end{array}$
Submit Answer

$4 \times 272562625252(5949 \div 31.6534)=?$

B. The slope is undefined. 4
Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points. $(-6,-9)$ and $(5,3)$ $\qquad$ $\qquad$ $x 2 y 2$

$\left|\begin{array}{cccc}1 & 2 & -3 & 4 \\ -5 & 6 & 0 & -2 \\ 0 & 2 & 0 & 4 \\ 0 & 5 & 0 & -4\end{array}\right|$

$-6 x-6>-18$ OR $-7 x+4 \leq-17$

$48+-5 a=18$

Solve the inequality. Graph the solution set. $|7-4 x| \leq 19$
Use the tools to enter your answer.
WebAssign. NumberLine Help
Write the solution set using interval notation. (If there is no solution, enter NO SOLUTION.) $\square$ Need Help? Read It Watch It

7 Найдите значение выражения $\frac{18 \sin 174^{\circ} \cdot \cos 174^{\circ}}{\sin 348^{\circ}}$ . Oтвет: $\qquad$

10pts...DETERMINE SLOPE $\& x / y$ INTERCEPTS (Show Work...Check as Needed) $y=m x+b$ 4) $f(x)=6 x+24$ 5) $3 x-4 y=-12$ $y=\frac{3}{4} x+b$

Replace the quantity $\mathbf{S}$ by its numerical value in the text below. Question 1: Solve the following equations: b) $\frac{5}{2 a}+\frac{1}{6 a}-\frac{3}{a}=49$

Find the area of the region bounded by $y=3 x^{2}+1 \text {, }$ the $x$ -axis, $x=-2$ , and $x=3$ .
As your answer, please input the value of the area.

$f(x)=x^{2}+5 x+p$ where $x \in \mathbb{R},-3 \leq p \leq 8$ , and $p \in \mathbb{Z}$ . (i) Find the value of $p$ for which $x+3$ is a factor of $f(x)$ .

(5) $\left[\left(2^{6}\right)^{4}: 2^{3} \cdot\left(2^{6}+2^{6}\right)-4^{6}: 2^{10}\right]:\left(2^{28}-2^{2}\right)+9$ .

$\int\left(e^{x^{2}} \cdot 2 x\right) d x$

10pts...SIMPLIFY \& GRAPH (Select 2 of 3 \& Show Work...Check Work) 8) $5 x-y \leq 4$ 9) $f(x)=|x-3|$ 10) $y>|x+4|+2$

$15+3 c<9$

Multiply the rational expressions and express the product in simplest form. $\frac{2 d^{2}+9 d-35}{d^{2}+6 d-7} \cdot \frac{3 d^{2}-5 d+2}{3 d^{2}+19 d-14}=$ $\square$

Solve. $-6 x^{2}-2-3 x=-8$

c) $\left(-2 x^{2} y-3 x y^{2}-5 x^{2}+6 y^{2}\right)-\left(-2 x^{2} y+4 x y^{2}-5 x^{2}+6 y^{2}\right)$

Use the Fundamental Theorem of Calculus to find the derivative of $f(x)=\int_{\sqrt{x}}^{x^{2}} \arctan \left(t^{2}+4\right) d t$

The $n^{\text {th }}$ term of a sequence is given by $5 n-2$
What is the $8^{\text {th }}$ term of this sequence?

The $n^{\text {th }}$ term of a sequence is given by $20-3 n$
Work out the first three terms in the sequence. Give your answers in order.

The $n^{\text {th }}$ term of a sequence is given by $T(n)=8 n+9$
Work out the $5^{\text {th }}$ term of this sequence.

The $n^{\text {th }}$ term of a sequence is given by $T(n)=5 n^{2}$
What are the first three terms of the sequence? Give your answers in order.

Rewrite this expression using addition. $-1-3$

$81 x^{2}-1$

Rewrite the expression with rational exponents. $\begin{array}{c} \sqrt[3]{6} \\ \sqrt[3]{6}= \end{array}$

$121 - 144x^2$

Rewrite the expression using radical notation. $(216)^{\frac{1}{3}}=$ $\square$ (Do not simplify. Type an exact antwer, using radicals as needed.) Now simplify. $(216)^{\frac{1}{3}}=$ $\square$ (Simplify your answer.)

$49 - 36x^2$

$10^{3}=$
Submit

Evaluate. Write your answer as a de $(0.7)^{2}=$ $\square$ Submit

simplity: $\left(\frac{4^{2}}{6^{3}}\right)^{4}$

Factor $x^{2}+12x+36$ .

(i) Ind $\int_{0}^{5}(x+1) d x$ as himit (ii) $\int_{-1}^{1} e^{x} d x$ as himit of sum (iii) Craburte $\int_{0}^{1} \frac{1}{1+x^{2}} d x$

Is the statement true or false? $6<8$
Answer
TRUE FALSE

$\int_{1}^{2}\left(4 x^{3}-5 x^{2}+6 x+9\right) d x$

Evaluate by interpreting it in terms of areas. $\int_{-1}^{3}(2-x) d x$

What are the domain and range of $f(x)=\log x-5$ ? domain: $x>0$ ; range: all real numbers domain: $x<0$ ; range: all real numbers domain: $x>5$ ; range: $y>5$ domain: $x>5$ ; range: $y>-5$

$-5x - \frac{2}{3}x$

$2 a-\frac{3}{4} a=$

What are the domain and range of $f(x)=\log (x+6)-4$ ? domain: $x>-6$ ; range: $y>4$ domain: $x>-6$ ; range: all real numbers domain: $x>6$ ; range: $y>-4$ domain: $x>6$ ; range: all real numbers

$-5 x-\frac{2}{3} x$