Math Statement

Problem 18701

Analyze the quadratic function $f(x)=-3 x^{2}-30 x-77$ . Does it have a minimum or maximum? Where does it occur, and what is the value?

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Problem 18702

Calculate $3 \times 7$ .

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Problem 18703

Which expressions are equivalent: $\frac{64 k}{4}$ , $4 k$ , $14 k$ , $16 k$ , or $15 k$ ?

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Problem 18704

Calculate the sum of $0.8090 + 0.522 + 0.123$ and report it with the correct significant figures.

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Problem 18705

Solve the inequality: $18\left(q-\frac{3}{4}\right) \leq -2\left(q+\frac{7}{4}\right)$ .

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Problem 18706

Calculate the sum: $9.725 \times 10^{3} + 3.58 \times 10^{2} + 6.1$ and round to the correct significant figures.

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Problem 18707

Determine which option equals $575d - 100$ : (1) $25(22d - 4)$ , (2) $25(23d - 4)$ , (3) $25(23d + 4)$ , (4) $25(25d - 4)$ .

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Problem 18708

Find the product of 5.271 and 11.24, applying significant figures: $5.271 \times 11.24 =$

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Problem 18709

Calculate $4.554 \times 2.23 / 10.812$ and use the correct significant figures.

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Problem 18710

Simplify $(800+444 y) / 4$ and choose the correct equivalent expression from the options provided.

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Problem 18711

Simplify $5(19-8y)$ and find its equivalent expression from the options: (A) $95-35y$ , (B) $95+40y$ , $85-40y$ , $95-40y$ .

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Problem 18712

Calculate $14.5 \times 8.208$ and round to the correct number of significant figures.

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Problem 18713

Find the set $A \cup (B \cap C)$ given $A=\{1,2,3,4\}$ , $B=\{3,5,6\}$ , $C=\{1,2,3,4,5\}$ .

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Problem 18714

Calculate $0.505 / 0.2$ and round your answer to the correct number of significant figures.

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Problem 18715

Simplify $3(26 p - 7 + 14 h)$ and find the equivalent expression from the options given.

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Problem 18716

Find $z$ in the equation $-z + 7 = 6$ . What is the value of $z$ ?

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Problem 18717

Find $b$ in the equation: $43 - \frac{b}{3} = 59$ .

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Problem 18718

Solve for $x$ in the equation: $2x + 5 = 11$ . What is the value of $x$ ?

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Problem 18719

Find $b$ in the equation: $44 = -11b + 33$ .

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Problem 18720

Simplify $5(6 x+17 y-9 z)$ and find the equivalent expression from the options provided.

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Problem 18721

Solve for $v$ : $v^{2}+10 v+25=0$ . If multiple solutions, list them; if none, say "No solution." $v=$

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Problem 18722

Find $b$ in the equation: $-76 = -3b - 49$ .

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Problem 18723

Solve for x: 4(2x - 4) - 5x + 4 = -30

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Problem 18724

$\begin{array}{l}f(x)=\frac{9 \tan (x)-8}{\sec (x)} \\ f^{\prime}(x)=1\end{array}$

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Problem 18725

Which of the following is/are True? The level of significance of a test depends on the value of the sample statistic. The level of significance depends on the alternative hypothesis. The level of significance is generally set in advance before samples are drawn The level of significance is the probability of rejecting a null hypothesis when it is in fact true.

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Problem 18726

Divide the polynomial $P=6 x^{3}+3 x+2$ by $D=3 x^{2}-1$ . Find the quotient $Q$ and remainder $R$ such that $\frac{P}{D}=Q+\frac{R}{D}$ $\begin{array}{l} Q(x)= \\ R(x)= \end{array}$

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Problem 18727

Find the indefinite integral. $\int\left(\frac{4}{t}-\frac{5}{t^{2}}\right) d t=$ $\square$ $+C$

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Problem 18728

234 Rounded to the nearest ten:
503 Rounded to the nearest ten:
8,218 ounded to the 429 Va arest tent:
5,407 $d$ to the en: $\qquad$ 134) rour

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Problem 18729

12-6
1. What is the value of $a \div a^{-4}$ when $a=2$ $2 \div 2^{-4}=2$
2. For $x=1$ and $y=-1$ , give the value of the expression $15 x^{2} y^{-3}+18 y x^{-1}+27 x y^{4}$
3. Find the integer k such that $3^{3}+3^{3}+3^{3}=243 \cdot 3^{\mathrm{k}}$ (Hint: Express 243 as a power of 3 .)
4. Let $a$ and $b$ be nonzero numbers. Simplify $\left(6 a^{2} b\right)^{2} \div\left(3 a^{2} b^{3}\right)$ . Express your answer as a number times a power of a times a power of $b$ .
5. $4-8\left((-2)^{2}-4(-3)\right)$
6. $5 \cdot 2^{5}-(2 \cdot 3)^{2}$

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Problem 18730

Rewrite the following fractions as partial fractions using the given formats. (a) $\frac{x-1}{x^{2}+3 x-28}=\frac{A_{1}}{F_{1}(x)}+\frac{A_{2}}{F_{2}(x)}$ where $A_{1}$ and $A_{2}$ represent constants. $\begin{array}{l} F_{1}(x)= \\ F_{2}(x)= \end{array}$

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Problem 18731

$\tan \theta = \sin^2 \theta \tan \theta + \frac{\sin^2 \theta}{\tan \theta}$

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Problem 18732

竣, What type of solutions does this equation have? $v^{2}-11=-11$
䯚 two imaginary solutions no solutions two real solutions one real solution Submit

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Problem 18733

Write the expression as a single logarithm. $3 \log _{2} x-\frac{1}{3} \log _{2} y+5 \log _{2} z$

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Problem 18734

A rectangular bird feeder costs $\$ 18.00$ . A cylindrical bird feeder costs $\$ 24.00$ . The expected cost to keep the rectangular bird feeder filled is $\$ 3.00$ per week. The expected cost to keep the cylindrical bird feeder filled is $\$ 2.00$ per week. The equation models the break-even point. $18+3 x=24+2 x$
What does $x$ represent? the total cost to fill the rectangular bird feeder the total cost to fill the cylindrical bird feeder after the number of weeks the after any number of weeks any number of weeks bird feeders are filled $Y$ the number of bird feeders purchased each week

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Problem 18735

4 Find the following products: a $\left(2 x^{2}-3 x+5\right)(3 x-1)$ b $\left(4 x^{2}-x+2\right)(2 x+5)$ c $\left(2 x^{2}+3 x+2\right)(5-x)$ d $(x-2)^{2}(2 x+1)$ e $\left(x^{2}-3 x+2\right)\left(2 x^{2}+4 x-1\right)$ f $\left(3 x^{2}-x+2\right)\left(5 x^{2}+2 x-3\right)$ g $\left(x^{2}-x+3\right)^{2}$ h $\left(2 x^{2}+x-4\right)^{2}$ $(2 x+5)^{3}$ ) $\left(x^{3}+x^{2}-2\right)^{2}$

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Problem 18736

\#2: Find the domain of the function $f(x)=\operatorname{Ln}\left(4-x^{\wedge} 2\right)$ . (2 Points)

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Problem 18737

Combine any like terms in the expression. If there are no like terms, rewrite the expression. $10 g+9 g+2 g-8 g$ $\square$ jubmit

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Problem 18738

Simplify each expression: Write the formula you will use to solve the Trig function a) $\operatorname{Cos} \frac{7 \pi}{12} \operatorname{Cos} \frac{5 \pi}{12}+\operatorname{Sin} \frac{7 \pi}{12} \sin \frac{5 \pi}{12}$

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Problem 18739

㸚, Solve for $k$ . $11 k^{2}-5 k=0$ (xi. Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. $k=$ Submit

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Problem 18740

$\binom{12}{7}(0.1)^{7}(0.9)^{5}$

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Problem 18741

The equation $-7(w-3)=70$ is solved in several steps below. For each step, choose the reason that best justifies it. \begin{tabular}{|c|l|} \hline Step & Reason \\ \hline $-7(w-3)=70$ & Given equation \\ \hline $\frac{-7(w-3)}{-7}=\frac{70}{-7}$ & "Choose one" \\ \hline $w-3=-10$ & "Choose one" \\ \hline $w-3+3=-10+3$ & \begin{tabular}{l} Sddition Property of Equality \\ Subtraction Property of Equality \\ Multiplication Property of Equality \\ Division Property of Equality \\ Simplifying \end{tabular} \\ \hline & \begin{tabular}{l} Distributive Property \end{tabular} \\ \hline \end{tabular}

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Problem 18742

Express the following equations in logarithmic form: (a) $5^{2}=25$ is equivalent to the logarithmic equation: $\square$ (b) $10^{-3}=0.001$ is equivalent to the logarithmic equation: $\square$

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Problem 18743

The equation $-7(w-3)=70$ is solved in several steps below. For each step, choose the reason that best justifies it. \begin{tabular}{|c|l|} \hline Step & Reason \\ \hline $-7(w-3)=70$ & Given equation \\ \hline $\frac{-7(w-3)}{-7}=\frac{70}{-7}$ & "Choose one" \\ \hline $w-3=-10$ & "Choose one" \\ \hline $w-3+3=-10+3$ & "Choose one" \\ \hline $w=-7$ & "Choose one" \\ \hline \end{tabular}

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Problem 18744

Calc7b72e 10 pts possible ermine the integral $I=\int 4 x e^{4+x^{2}} d x$
1. $I=-2 e^{1+x^{2}}+C$
2. $I=4 e^{4+x^{2}}+C$
3. $I=-4 e^{1+x^{2}}+C$
4. $I=2 e^{1+x^{2}}+C$
5. $I=-2 e^{4+x^{2}}+C$
6. $I=2 e^{4+x^{2}}+C$

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Problem 18745

Find two numbers $a$ and $b$ such that the following system of linear equations is consistent dependent. $\left\{\begin{array}{r} a x-5 y=b \\ -4 x+3 y=6 \end{array}\right.$
Note that the ALEKS graphing calculator may be helpful in checking your answer. $a=$ $\square$ $b=$

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Problem 18746

lect the expressions that are equivalent to $(-5 k+3)+(6 k+3)$ $\begin{array}{c} (6 k+3)+(-5 k+3) \\ 6 k+3+-5 k+3 \\ -5 k+6 k+6 \end{array}$ $k+6$

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Problem 18747

$\log \frac{2}{5}=$ $\square$ $\ln 24.7=$

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Problem 18748

Solve the equation on the interval $0 \leq \theta<2 \pi$ . $(\cot \theta-1)(\csc \theta-1)=0$
Select the correct choice below and fill in any answer boxes in your choice. A. The solution set is $\square$ \}. (Simplify your answer. Type an exact answer, using $\pi$ as needed. Type your answer i any numbers in the expression. Use a comma to separate answers as needed.) B. There is no solution on this interval.

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Problem 18749

Find the slope and the $y$ -intercept of the line. $y=5 x-4$ slope:
Undefined y-intercept: $\square$

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Problem 18750

Solve the system by substitution. $\begin{aligned} y & =2 x+4 \\ -3 x+6 y & =15 \end{aligned}$

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Problem 18751

Consider the function $h(x)=-\frac{1}{2} x^{2}-2 x+2$
What is the vertex of $h$ ? $\square$ What is the equation of the line of symmetry of $h$ ? $\square$ $h$ has a Select an answer $\square$ of $\square$ The $x$ -intercept(s) of $h$ is/are $\square$ The $y$ -intercept of $h$ is $\square$
Graph $h(x)$
Clear All Draw:

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Problem 18752

Solve the following systems using the method of substitution: $-3 x+10 y=11$ a) $\frac{x}{2}+3 y=3$

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Problem 18753

5. $343 x^{3}+64$

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Problem 18754

Solve the quadratic equation by completing the square: $t^{2}-10 t-20=19$ The solutions are: $t=$ $\square$ Question Help: Message instructor Calculator

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Problem 18755

Solve for $x$ . $\log _{x} 100=2$
Simplify your answer as much as possible. $x=$ $\square$ $\log$ $\log _{\square} \square$
No solution

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Problem 18756

$10^{1} \times 49.32=$

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Problem 18757

Question 3 (1 point) The graph of $y=\csc x$ can be generated by plotting the reciprocal of each $y$ -value of the graph $y=\sin x$ . True False

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Problem 18758

Question 8 Given that $f(x)=x^{2}+4 x-5$ find the domain of $y=\frac{1}{f(x)}$ 1) $x \neq 0$ (2) $x \neq-5$ and $x \neq 1$ $3 x=-5$ and $x=1$ $4 \quad x \in \mathbb{R}$ Answer saved

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Problem 18759

10. $1024 x^{4}-648 x$

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Problem 18760

1. [-/1 Points] DETAILS MY NOTES LARCALCPRECALC3 2.2.026. ASK YOUR TEACHER PRACTICE ANOTHER
Describe the right-hand and left-hand behavior of the graph of the polynomial function. (Select all that apply.) $f(x)=3 x^{5}-9 x+4.5$ The graph rises to the right. The graph falls to the right. The graph rises to the left. The graph falls to the left. Need Help? Read It Submit Answer

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Problem 18761

ATH 0993 - Math 12 part 2 (Sep 2023) nformation ए. Flag question
2. Convert the given angle to radians: $-\mathbf{7 2 0}{ }^{\circ}$

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Problem 18762

Zhange each percent or fraction to a decimal. 1) $70 \%=\frac{70}{100}=$ 2) $17 \%=\frac{17}{100}=0.17$ 3) $4 \%$ 4) $412 \%$ 0.70 5) $\frac{35}{100}=0.35$ 6) $\frac{3}{10} 0.3$ 7) $1 \frac{1}{4}$ 8) $\frac{1}{6}$

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Problem 18763

Find reciprocal of sum $\frac{1}{R_{1}}+\frac{1}{400}$

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Problem 18764

5. If $f(x)=-x^{2}-2 x+1$ and $g(x)=x+2$ a. Find $(f o g)$ b. Find $g(f(-2)$

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Problem 18765

d. find $A$ PDE by etiminations $a$ and $b$ from the $f f$ equation $a, \quad z=a x+a^{2} y^{2}+b$ b. $z=a x e^{x}+1 / 2 a^{2} e^{24}+b$

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Problem 18766

Write the system of equations as an augmented matrix. $\left\{\begin{array}{l} 4 x-4 y=-44 \\ -7 x-y=-99 \end{array}\right.$ $\square$ $\square$ Reduce the matrix into reduced row echelon form. $\square$ $\square$ $\square$ $\square$ Determine the solution to the original system of equations. $(x, y)=$ $\square$

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Problem 18767

The point $\left(5 \frac{5}{8}, 2 \frac{1}{4}\right)$ lies on the graph of a linear function that represents a proportional relationship. Part A Write an equation for this function. What is the slope?

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Problem 18768

Boyle's Law involves the pressure and volume of gas in a container. It can be represented by the formula $P_{1} V_{1}=P_{2} V_{2}$ . When the formula is solved for $P_{2}$ , the result is 1) $P_{1} V_{1} V_{2}$ 2) $\frac{V_{2}}{P_{1} V_{1}}$ 3) $\frac{P_{1} V_{1}}{V_{2}}$ 4) $\frac{P_{1} V_{2}}{V_{1}}$

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Problem 18769

Let $f(x)=-3 x^{2}-x+2$ ; evaluate $f(x-1)$

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Problem 18770

When solving for the value of $x$ in the equation $4(x-1)+3=18$ , Aaron wrote the following lines on the boarc [line 1] $4(x-1)+3=18$ [line 2] $4(x-1)=15$ [line 3] $4 x-1=15$ [line 4] $4 x=16$ [line 5] $x=4$
Which property was used incorrectly when going from line 2 to line 3 ? 1) distributive 3) associative 2) commutative 4) multiplicative inverse

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Problem 18771

(2 points) Let $f(x)=x^{3}-9 x^{2}+14$ a. Find the critical numbers of $f$ : $\square$ (Separate multiple answers by commas.) b. Determine the intervals on which $f$ is increasing and decreasing. Help entering intervals $f$ is increasing on: $\square$ $f$ is decreasing on: $\square$ c. Use the First Derivative Test to determine whether each critical point is a relative maximum, minimum, or neither. (Separate multiple answers by commas, if there is no answer enter "none".)
Relative maxima occur at $x=$ $\square$ Relative minima occur at $x=$ $\square$

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Problem 18772

[2] 6. Simplify $2-4|3-x|$ , given that $x<3$ . (a) $4 x-10$ (b) $2 x-6$ (c) $6-2 x$ (d) $14-4 x$

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Problem 18773

17) $(9 i)-(-6 i+10)=$ 18) $(12 i+8)+(-7 i)=$ 19) $(13 i)-(17+3 i)=$ 20) $(3+5 i)+(8+3 i)=$ 21) $(8-3 i)+(4+i)=$ 22) $(10+9 i)+(6+8 i)=$

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Problem 18774

5. [-/7 Points] DETAILS MY NOTES LARCALCPRECALC3 2.2.044.
Consider the following. $f(x)=x^{4}-x^{3}-56 x^{2}$ (a) Find all the real zeros of the polynomial function. $\begin{array}{l} x=\square \text { (smallest value) } \\ x=\square \text { (largest value) } \\ x=\square \end{array}$ (b) Determine the multiplicity of each zero and the number of turning points of the graph of the function. - Select- - Select- (smallest $x$ -value) - Select (largest $x$ -value)
The number of turning points is $\square$ -Select-- $\checkmark$ Need Help? Read It

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Problem 18775

2uestion 5 (1 point) The height, $h$ , in centimetres, of a piston moving up and down in an engine cylinder can be modelled by the function $h(t)=18 \sin (50 \pi t)+18$ , where $t$ is the time, in seconds. What is the period? a) 50 s b) 0.04 cm c) 25 s d) 0.04 s

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Problem 18776

Question 8 (1 point) Determine the amplitude of the sinusoidal function $y=-3 \sin \left[2\left(x-\frac{\pi}{3}\right)\right]+1$ . a) 2 b) -3 c) $\frac{\pi}{3}$ d) 3

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Problem 18777

Add. Write your answer in simplest form. $9 \sqrt{5}+5 \sqrt{5}$ $\square$ Submit

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Problem 18778

Add. Write your answer in simplest form. $-10 \sqrt{7}+2 \sqrt{7}$ $\square$ Submit

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Problem 18779

Find the solution of the exponential equation $13 e^{x}-19=12$ The exact solution, in terms of the natural logarithm is: $x=$ $\square$ The approximate solution, accurate to 4 decimal places is: $x=$ $\square$

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Problem 18780

Solve for $x$ : $\begin{array}{l} \log (x)+\log (x+5)=4 \\ x= \end{array}$
You may enter the exact value or round to 4 decimal places.

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Problem 18781

Question Use the power rule to rewrite the expression $\log k^{3}$ ?
Provide your answer below:

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Problem 18782

Write the system of equations as an augmented matrix. $\left\{\begin{array}{l} -3 x+6 y-6 z=-54 \\ -2 x+3 y-7 z=-106 \\ -7 x-3 y-7 z=-272 \end{array}\right.$
Reduce the matrix into reduced row echelon form.
Identify the solution to the original system of equations. $(x, y, z)=(4,-1,6) \times$

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Problem 18783

There is a pair of $x$ and $y$ values that make each equation true in this system of equations: $\left\{\begin{array}{l} 5 x+3 y=8 \\ 4 x+7 y=34 \end{array}\right.$
Explain why the same pair of values also make $9 x+10 y=42$ true.

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Problem 18784

ite the matrix in reduced row echelon form. $\left[\begin{array}{rrr|r} 2 & -1 & -3 & -26 \\ -5 & 6 & 2 & 53 \\ -2 & 3 & 6 & 99 \end{array}\right]$

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Problem 18785

In Exercises 13-22, find the derivative of $y$ with respect to the appropriate variable.
13. $y=\sec ^{-1}(2 s+1)$
14. $y=\sec ^{-1} 5 s$
15. $y=\csc ^{-1}\left(x^{2}+1\right), \quad x>0$
16. $y=\csc ^{-1} x / 2$
17. $y=\sec ^{-1} \frac{1}{t}, \quad 0<t<1$
18. $y=\cot ^{-1} \sqrt{t}$
19. $y=\cot ^{-1} \sqrt{t-1}$
20. $y=\sqrt{s^{2}-1}-\sec$
21. $y=\tan ^{-1} \sqrt{x^{2}-1}+\csc ^{-1} x, \quad x>1$ ,
22. $y=\cot ^{-1} \frac{1}{x}-\tan ^{-1} x$

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Problem 18786

Simplify. $\sqrt{\frac{10}{9}}$

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Problem 18787

Question 19 (1 point) The height, $h$ , in centimetres, of a piston moving up and down in an engine cylinder can be modelled by the function $h(t)=18 \sin (50 \pi t)+18$ , where $t$ is the time, in seconds. What is the piston's minimum height? a) -18 cm b) 18 cm c) 0 cm d) 9 cm

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Problem 18788

Factor $x^{2}-3 x+2$ using FOIL backwards

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Problem 18789

Consider the following piecewise-defined function. $f(x)=\left\{\begin{array}{ll} 7^{-x-4}-3 & \text { If } x<-4 \\ \frac{-36}{x+8}+7 & \text { if } x>-4 \end{array}\right.$
Step 3 of 3 : Evaluate this function at $x=-6$ . Write the exact answer. Do not round. If the answer is undefined, write Und as your answer. $f(-6)=\square$

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Problem 18790

Question 22 (1 point) The height, $h$ , in metres, above the ground of a car as a Ferris wheel rotates can be modelled by the function $h(t)=16 \cos \left(\frac{\pi t}{120}\right)+18$ , where $t$ is the time, in seconds. What is the radius of the Ferris wheel? a) 16 m b) 8 m c) 9 m d) 18 m

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Problem 18791

Simplify. $\sqrt{\frac{6}{27}}$

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Problem 18792

53. $\frac{15}{\sqrt{5}}$
54. $\frac{5}{\sqrt{18}}$
58. $\frac{\sqrt{32 a^{5} b^{3}}}{\sqrt{2 a b^{2}}}$
62. $\frac{9 \sqrt[5]{160 x^{8} y^{11}}}{3 \sqrt[5]{5 x y^{2}}}$ 67.) $\frac{\sqrt{7}-\sqrt{3}}{\sqrt{3}-\sqrt{7}}$
55. $\frac{8 \sqrt{3}}{\sqrt{k}}$
59. $\frac{6 \sqrt{45 x^{3}}}{3 \sqrt{5 x}}$ $63 \frac{2}{3+\sqrt{5}}$
68. $\frac{\sqrt{7}+\sqrt{5}}{\sqrt{5}+\sqrt{2}}$
56. $\frac{2 \sqrt{5 r}}{\sqrt{m^{3}}}$
60. $\frac{\sqrt[3]{625 x^{6} y^{4}}}{\sqrt[3]{5 x y}}$
64. $\frac{2+\sqrt{5}}{6-\sqrt{3}}$
69. $\frac{3 \sqrt{2}-\sqrt{7}}{4 \sqrt{2}+\sqrt{5}}$
57. $\sqrt[3]{\frac{10}{9}}$
61. $\frac{\sqrt[3]{27 x y^{7}}}{\sqrt[3]{x y}}$
65. $\frac{1+\sqrt{2}}{3+\sqrt{5}}$
70. $\frac{5 \sqrt{3}-3 \sqrt{2}}{3 \sqrt{2}-2 \sqrt{3}}$
66. $\frac{\sqrt{a}}{\sqrt{a}+\sqrt{b}}$

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Problem 18793

In Exercises $1-28$ , find $d y / d x$
1. $y=2 e^{x}$
3. $y=e^{-x}$
5. $y=e^{2 x / 3}$
7. $y=x e^{2}-e^{x}$
9. $y=e^{\sqrt{x}}$
11. $y=8^{x}$
13. $y=3^{\csc x}$
15. $y=\ln \left(x^{2}\right)$
17. $y=\ln (1 / x)$
19. $y=\ln (\ln x)$
21. $y=\log _{4} x^{2}$
23. $y=\log _{2}(1 / x)$

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Problem 18794

Find the inverse of the linear transformation $\begin{array}{l} y_{1}=4 x_{1}+8 x_{2}+17 x_{3} \\ y_{2}=5 x_{1}+9 x_{2}+17 x_{3} \\ y_{3}=x_{1}+2 x_{2}+4 x_{3} \end{array}$ $\begin{array}{l} x_{1}=\square y_{1}+\square y_{2}+\square y_{3} \\ x_{2}=\square y_{1}+\square y_{2}+\square y_{3} \\ x_{3}=\square y_{1}+\square y_{2}+\square y_{3} . \end{array}$ Preview My Answers Submit Answers

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Problem 18795

Question Watch Video Show Examples
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. $y=28(1.01)^{x}$ Answer Attempt 2 out of 2

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Problem 18796

$\int_{2}^{6} \frac{x}{\left(x^{2}+8\right)^{3}} d x=$

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Problem 18797

17) $-7 n^{2}+16 n=8 n$

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Problem 18798

LARCALCPRECALC3 2.2.030.
Describe the right-hand and left-hand behavior of the graph of the polynomial function. (Select all that apply.) $f(s)=-\frac{5}{6}\left(s^{3}+7 s^{2}-9 s+6\right)$ The graph rises to the right. The graph falls to the right. The graph rises to the left. The graph falls to the left.

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Problem 18799

Simplify. $\sqrt{\frac{35}{4}}$

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Problem 18800

5. What is the solution to the inequality $-7(x+3)<-6(x-2)+4$ ?
A $x<5$ B. $x>5$ c. $x<-37$ D. $x>-37$

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1 188 147

Math Statement

Problem 18701

Analyze the quadratic function f(x)=−3x2−30x−77f(x)=-3 x^{2}-30 x-77f(x)=−3x2−30x−77. Does it have a minimum or maximum? Where does it occur, and what is the value?

Problem 18702

Calculate 3×73 \times 73×7.

Problem 18703

Which expressions are equivalent: 64k4\frac{64 k}{4}464k​, 4k4 k4k, 14k14 k14k, 16k16 k16k, or 15k15 k15k?

Problem 18704

Calculate the sum of 0.8090+0.522+0.1230.8090 + 0.522 + 0.1230.8090+0.522+0.123 and report it with the correct significant figures.

Problem 18705

Solve the inequality: 18(q−34)≤−2(q+74)18\left(q-\frac{3}{4}\right) \leq -2\left(q+\frac{7}{4}\right)18(q−43​)≤−2(q+47​).

Problem 18706

Calculate the sum: 9.725×103+3.58×102+6.19.725 \times 10^{3} + 3.58 \times 10^{2} + 6.19.725×103+3.58×102+6.1 and round to the correct significant figures.

Problem 18707

Determine which option equals 575d−100575d - 100575d−100: (1) 25(22d−4)25(22d - 4)25(22d−4), (2) 25(23d−4)25(23d - 4)25(23d−4), (3) 25(23d+4)25(23d + 4)25(23d+4), (4) 25(25d−4)25(25d - 4)25(25d−4).

Problem 18708

Find the product of 5.271 and 11.24, applying significant figures: 5.271×11.24=5.271 \times 11.24 =5.271×11.24=

Problem 18709

Calculate 4.554×2.23/10.8124.554 \times 2.23 / 10.8124.554×2.23/10.812 and use the correct significant figures.

Problem 18710

Simplify (800+444y)/4(800+444 y) / 4(800+444y)/4 and choose the correct equivalent expression from the options provided.

Problem 18711

Simplify 5(19−8y)5(19-8y)5(19−8y) and find its equivalent expression from the options: (A) 95−35y95-35y95−35y, (B) 95+40y95+40y95+40y, 85−40y85-40y85−40y, 95−40y95-40y95−40y.

Problem 18712

Calculate 14.5×8.20814.5 \times 8.20814.5×8.208 and round to the correct number of significant figures.

Problem 18713

Find the set A∪(B∩C)A \cup (B \cap C)A∪(B∩C) given A={1,2,3,4}A=\{1,2,3,4\}A={1,2,3,4}, B={3,5,6}B=\{3,5,6\}B={3,5,6}, C={1,2,3,4,5}C=\{1,2,3,4,5\}C={1,2,3,4,5}.

Problem 18714

Calculate 0.505/0.20.505 / 0.20.505/0.2 and round your answer to the correct number of significant figures.

Problem 18715

Simplify 3(26p−7+14h)3(26 p - 7 + 14 h)3(26p−7+14h) and find the equivalent expression from the options given.

Problem 18716

Find zzz in the equation −z+7=6-z + 7 = 6−z+7=6. What is the value of zzz?

Problem 18717

Find bbb in the equation: 43−b3=5943 - \frac{b}{3} = 5943−3b​=59.

Problem 18718

Solve for xxx in the equation: 2x+5=112x + 5 = 112x+5=11. What is the value of xxx?

Problem 18719

Find bbb in the equation: 44=−11b+3344 = -11b + 3344=−11b+33.

Problem 18720

Simplify 5(6x+17y−9z)5(6 x+17 y-9 z)5(6x+17y−9z) and find the equivalent expression from the options provided.

Problem 18721

Solve for vvv: v2+10v+25=0v^{2}+10 v+25=0v2+10v+25=0. If multiple solutions, list them; if none, say "No solution." v=v=v=

Problem 18722

Find bbb in the equation: −76=−3b−49-76 = -3b - 49−76=−3b−49.

Problem 18723

Solve for x: 4(2x - 4) - 5x + 4 = -30

Problem 18724

f(x)=9tan⁡(x)−8sec⁡(x)f′(x)=1\begin{array}{l}f(x)=\frac{9 \tan (x)-8}{\sec (x)} \\ f^{\prime}(x)=1\end{array}f(x)=sec(x)9tan(x)−8​f′(x)=1​

Problem 18725

Problem 18726

Divide the polynomial P=6x3+3x+2P=6 x^{3}+3 x+2P=6x3+3x+2 by D=3x2−1D=3 x^{2}-1D=3x2−1. Find the quotient QQQ and remainder RRR such that PD=Q+RD\frac{P}{D}=Q+\frac{R}{D}DP​=Q+DR​ Q(x)=R(x)=\begin{array}{l} Q(x)= \\ R(x)= \end{array}Q(x)=R(x)=​

Problem 18727

Find the indefinite integral. ∫(4t−5t2)dt=\int\left(\frac{4}{t}-\frac{5}{t^{2}}\right) d t=∫(t4​−t25​)dt= □\square□ +C+C+C

Problem 18728

234 Rounded to the nearest ten:503 Rounded to the nearest ten:8,218 ounded to the 429 Va arest tent:5,407 ddd to the en: \qquad 134) rour

Problem 18729

Problem 18730

Problem 18731

tan⁡θ=sin⁡2θtan⁡θ+sin⁡2θtan⁡θ\tan \theta = \sin^2 \theta \tan \theta + \frac{\sin^2 \theta}{\tan \theta}tanθ=sin2θtanθ+tanθsin2θ​

Problem 18732

竣, What type of solutions does this equation have? v2−11=−11v^{2}-11=-11v2−11=−11䯚 two imaginary solutions no solutions two real solutions one real solution Submit

Problem 18733

Write the expression as a single logarithm. 3log⁡2x−13log⁡2y+5log⁡2z3 \log _{2} x-\frac{1}{3} \log _{2} y+5 \log _{2} z3log2​x−31​log2​y+5log2​z

Problem 18734

Problem 18735

Problem 18736

\#2: Find the domain of the function f(x)=Ln⁡(4−x∧2)f(x)=\operatorname{Ln}\left(4-x^{\wedge} 2\right)f(x)=Ln(4−x∧2). (2 Points)

Problem 18737

Combine any like terms in the expression. If there are no like terms, rewrite the expression. 10g+9g+2g−8g10 g+9 g+2 g-8 g10g+9g+2g−8g □\square□ jubmit

Problem 18738

Problem 18739

㸚, Solve for kkk. 11k2−5k=011 k^{2}-5 k=011k2−5k=0 (xi. Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. k=k=k= Submit

Problem 18740

(127)(0.1)7(0.9)5\binom{12}{7}(0.1)^{7}(0.9)^{5}(712​)(0.1)7(0.9)5

Problem 18741

Problem 18742

Express the following equations in logarithmic form: (a) 52=255^{2}=2552=25 is equivalent to the logarithmic equation: □\square□ (b) 10−3=0.00110^{-3}=0.00110−3=0.001 is equivalent to the logarithmic equation: □\square□

Problem 18743

Problem 18744

Analyze the quadratic function $f(x)=-3 x^{2}-30 x-77$ . Does it have a minimum or maximum? Where does it occur, and what is the value?

Calculate $3 \times 7$ .

Which expressions are equivalent: $\frac{64 k}{4}$ , $4 k$ , $14 k$ , $16 k$ , or $15 k$ ?

Calculate the sum of $0.8090 + 0.522 + 0.123$ and report it with the correct significant figures.

Solve the inequality: $18\left(q-\frac{3}{4}\right) \leq -2\left(q+\frac{7}{4}\right)$ .

Calculate the sum: $9.725 \times 10^{3} + 3.58 \times 10^{2} + 6.1$ and round to the correct significant figures.

Determine which option equals $575d - 100$ : (1) $25(22d - 4)$ , (2) $25(23d - 4)$ , (3) $25(23d + 4)$ , (4) $25(25d - 4)$ .

Find the product of 5.271 and 11.24, applying significant figures: $5.271 \times 11.24 =$

Calculate $4.554 \times 2.23 / 10.812$ and use the correct significant figures.

Simplify $(800+444 y) / 4$ and choose the correct equivalent expression from the options provided.

Simplify $5(19-8y)$ and find its equivalent expression from the options: (A) $95-35y$ , (B) $95+40y$ , $85-40y$ , $95-40y$ .

Calculate $14.5 \times 8.208$ and round to the correct number of significant figures.

Find the set $A \cup (B \cap C)$ given $A=\{1,2,3,4\}$ , $B=\{3,5,6\}$ , $C=\{1,2,3,4,5\}$ .

Calculate $0.505 / 0.2$ and round your answer to the correct number of significant figures.

Simplify $3(26 p - 7 + 14 h)$ and find the equivalent expression from the options given.

Find $z$ in the equation $-z + 7 = 6$ . What is the value of $z$ ?

Find $b$ in the equation: $43 - \frac{b}{3} = 59$ .

Solve for $x$ in the equation: $2x + 5 = 11$ . What is the value of $x$ ?

Find $b$ in the equation: $44 = -11b + 33$ .

Simplify $5(6 x+17 y-9 z)$ and find the equivalent expression from the options provided.

Solve for $v$ : $v^{2}+10 v+25=0$ . If multiple solutions, list them; if none, say "No solution." $v=$

Find $b$ in the equation: $-76 = -3b - 49$ .

$\begin{array}{l}f(x)=\frac{9 \tan (x)-8}{\sec (x)} \\ f^{\prime}(x)=1\end{array}$

Divide the polynomial $P=6 x^{3}+3 x+2$ by $D=3 x^{2}-1$ . Find the quotient $Q$ and remainder $R$ such that $\frac{P}{D}=Q+\frac{R}{D}$ $\begin{array}{l} Q(x)= \\ R(x)= \end{array}$

Find the indefinite integral. $\int\left(\frac{4}{t}-\frac{5}{t^{2}}\right) d t=$ $\square$ $+C$

234 Rounded to the nearest ten:
503 Rounded to the nearest ten:
8,218 ounded to the 429 Va arest tent:
5,407 $d$ to the en: $\qquad$ 134) rour

$\tan \theta = \sin^2 \theta \tan \theta + \frac{\sin^2 \theta}{\tan \theta}$

竣, What type of solutions does this equation have? $v^{2}-11=-11$
䯚 two imaginary solutions no solutions two real solutions one real solution Submit

Write the expression as a single logarithm. $3 \log _{2} x-\frac{1}{3} \log _{2} y+5 \log _{2} z$

\#2: Find the domain of the function $f(x)=\operatorname{Ln}\left(4-x^{\wedge} 2\right)$ . (2 Points)

Combine any like terms in the expression. If there are no like terms, rewrite the expression. $10 g+9 g+2 g-8 g$ $\square$ jubmit

㸚, Solve for $k$ . $11 k^{2}-5 k=0$ (xi. Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. $k=$ Submit

$\binom{12}{7}(0.1)^{7}(0.9)^{5}$

Express the following equations in logarithmic form: (a) $5^{2}=25$ is equivalent to the logarithmic equation: $\square$ (b) $10^{-3}=0.001$ is equivalent to the logarithmic equation: $\square$

lect the expressions that are equivalent to $(-5 k+3)+(6 k+3)$ $\begin{array}{c} (6 k+3)+(-5 k+3) \\ 6 k+3+-5 k+3 \\ -5 k+6 k+6 \end{array}$ $k+6$

$\log \frac{2}{5}=$ $\square$ $\ln 24.7=$

Find the slope and the $y$ -intercept of the line. $y=5 x-4$ slope:
Undefined y-intercept: $\square$

Solve the system by substitution. $\begin{aligned} y & =2 x+4 \\ -3 x+6 y & =15 \end{aligned}$

Solve the following systems using the method of substitution: $-3 x+10 y=11$ a) $\frac{x}{2}+3 y=3$

5. $343 x^{3}+64$

Solve the quadratic equation by completing the square: $t^{2}-10 t-20=19$ The solutions are: $t=$ $\square$ Question Help: Message instructor Calculator

Solve for $x$ . $\log _{x} 100=2$
Simplify your answer as much as possible. $x=$ $\square$ $\log$ $\log _{\square} \square$
No solution

$10^{1} \times 49.32=$

Question 3 (1 point) The graph of $y=\csc x$ can be generated by plotting the reciprocal of each $y$ -value of the graph $y=\sin x$ . True False

Question 8 Given that $f(x)=x^{2}+4 x-5$ find the domain of $y=\frac{1}{f(x)}$ 1) $x \neq 0$ (2) $x \neq-5$ and $x \neq 1$ $3 x=-5$ and $x=1$ $4 \quad x \in \mathbb{R}$ Answer saved

10. $1024 x^{4}-648 x$

ATH 0993 - Math 12 part 2 (Sep 2023) nformation ए. Flag question
2. Convert the given angle to radians: $-\mathbf{7 2 0}{ }^{\circ}$

Find reciprocal of sum $\frac{1}{R_{1}}+\frac{1}{400}$

5. If $f(x)=-x^{2}-2 x+1$ and $g(x)=x+2$ a. Find $(f o g)$ b. Find $g(f(-2)$

d. find $A$ PDE by etiminations $a$ and $b$ from the $f f$ equation $a, \quad z=a x+a^{2} y^{2}+b$ b. $z=a x e^{x}+1 / 2 a^{2} e^{24}+b$

The point $\left(5 \frac{5}{8}, 2 \frac{1}{4}\right)$ lies on the graph of a linear function that represents a proportional relationship. Part A Write an equation for this function. What is the slope?

Let $f(x)=-3 x^{2}-x+2$ ; evaluate $f(x-1)$

[2] 6. Simplify $2-4|3-x|$ , given that $x<3$ . (a) $4 x-10$ (b) $2 x-6$ (c) $6-2 x$ (d) $14-4 x$