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Problem 63001

Solve the equation: $\frac{\sin A}{1+\cos A}+\frac{1+\cos A}{\sin A}=2 \operatorname{cosec} A$ .

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Problem 63002

Calculate: $6 + 4 + 3(4 + 1)$

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Problem 63003

Find the greatest common factor of the numbers 6, 28, and 30: $6, 28, 30$ .

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Problem 63004

Divide 621 by 21. Enter your answer in the box.

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Problem 63005

Calculate the result of -2 + 5.

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Problem 63006

Find the difference and simplify: $\frac{5}{6}-\frac{2}{7}$ .

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Problem 63007

Divide 5,346 by 29. Write your answer as a mixed number in simplest form.

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Problem 63008

In triangle $XYZ$ , angle $YXZ$ is $50^{\circ}$ and angle $XYZ$ is $75^{\circ}$ . Find angle $XZY$ in degrees.

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Problem 63009

Which set of angles can form a triangle? A) $20^{\circ}, 45^{\circ}, 120^{\circ}$ B) $100^{\circ}, 130^{\circ}, 130^{\circ}$ C) $35^{\circ}, 60^{\circ}, 85^{\circ}$ D) $25^{\circ}, 55^{\circ}, 110^{\circ}$

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Problem 63010

Evaluate and simplify the expression: $-\frac{2}{3} \cdot \frac{5}{7}$ .

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Problem 63011

Calculate the result of -2 + (-1).

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Problem 63012

Calculate $4^{3}-|-8| \cdot 6 \div 16$ .

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Problem 63013

Evaluate the expression and simplify: $\frac{1}{2}: \frac{3}{4}$

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Problem 63014

Find the total length of painter's tape needed for walls $ABCD$ with $A(-5,-1)$ , $B(6,3)$ , $C(6,-5)$ , $D(-5,-5)$ .

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Problem 63015

Evaluate the expression and simplify: $\frac{2}{3}\left(-\frac{9}{16}\right)$ .

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Problem 63016

Evaluate and simplify the expression: $-\frac{2}{3} \cdot \frac{5}{7}$ .

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Problem 63017

An object travels on a path that draws out a square which is 20 meters on a side. The object starts at corner A , and moves towards corner $B$ . When it is halfway to corner $B$ with a speed of 10 meters per second, at what rate is the object's distance from corner C (the corner directly opposite corner A) changing? Do not simplify your answer.

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Problem 63018

Solve the equation by factoring. Check your solution. If there are multiple solutions, list the solutions from leas greatest separated by a comma. $x^{2}+4=0$ $\square$

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Problem 63019

Using Half-Angle Formulas In Exercises $73, \underline{74}, \underline{75}$ , and $\underline{76}$ , use the given conditions to a. determine the quadrant in which $u / 2$ lies, and b. find the exact values of $\sin (u / 2), \cos (u / 2)$ , and $\tan (u / 2)$ using the half-angle formulas.
73. $\tan u=\frac{4}{3}, \quad \pi<u<\frac{3 \pi}{2}$
Answer

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Problem 63020

2. Dr. Smith gives a $20 \%$ discount if his customers pay cash for their office visit. Determine the cost of a $\$ 65$ office visit if the customer pays cash.

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Problem 63021

llowing, given $a=-3$ and $b=4$ . Simplify your answers.
18. $4 a^{2}+a b-4 b$

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Problem 63022

Video spent her afternoon finishing a scarf she is knitting for her friend. The length of scarf Jen had left to finish decreased as she knit. (b)
This situation can be modeled as a linear relationship.
Complete the statement that describes the situation.
At the start of the afternoon, Jen had 18 $\square$ inches of scarf left to knit. She completed $\square$ inches of the scarf each hour.

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Problem 63023

Creative Section - A
4. a) Sketch a tower of height 45 m according to the scale of 1 cm to 9 m . b) The actual length and breadth of a rectangular play ground are 40 m and

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Problem 63024

Sinth grede S. 6 Write an equhalent ratio NEA
Find the number that makes the ratio equivalent to 99:45. $\square$ : 5 Submit

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Problem 63025

$\left(x^{1}+3 x^{3}-4 x^{2}+5 x+3\right) \div\left(x^{2}+x+4\right)=$

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Problem 63026

4) Through: $(2,-1)$ Vertex: $(3,6)$

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Problem 63027

9. The original price of a collectible model airplane is $\$ 115$ . The discounted price is \ $99. What is the percent of discount to the nearest percent?<br />10. Andrea ordered a computer from Amazon. The computer cost$ \ $1499$ plus a $7.5 \%$ sales tax. What was the total amount of the computer?
11. In a video game, Diego scored $50 \%$ more points than Tyler. If $c$ is the amount of points that Diego scored and $t$ is the number of points Tyler scored, which equations are correct? Select all that apply. a) $c=1.5 t$ b) $c=t+0.5$ c) $c=t+0.5 t$ d) $c=t+50$ e) $c=(1+0.5) t$
12. A flower shop used $25 \%$ more roses this month than last month. If the flower shop used 340 roses last month, how many did they use this month?
13. The cost of an item is $\$ 26.75$ . The sales tax is $\$ 1.74$ . What is the sales tax rate?
14. A car dealership pays $\$ 12,350$ for a car. They mark up the price by $18.5 \%$ to get the retail price. What is the retail price of the car at the dealership?

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Problem 63028

CENGAGE ESID lookup PowerZone Gmail One.IU I All IU Ca... Canvas Customer Enreoll... ESID lookup PowerZone Gmail One.IU I All IU Ca... Canvas 9: Markov Chains and the Theory of Games Search this course the statements true. In the provided box, separate each two-word phrase with a comma but no space. For example: augmented matrix,word application. Spelling counts.
The following image, $X_{0}=\left[\begin{array}{c} p_{1} \\ p_{2} \\ \vdots \\ p_{n} \end{array}\right]$ state 1 staten $\left[\begin{array}{c} \text { state } 1 \\ \cdots \\ \text { state } n \end{array}\left[\begin{array}{ccc} a_{11} & \cdots & a_{1 n} \\ \vdots & \ddots & \vdots \\ a_{n 1} & \cdots & a_{n n} \end{array}\right]\right.$ , represents a $\qquad$ . The next matrix, $\left[\begin{array}{c}p_{1} \\ p_{2} \\ \vdots \\ \vdots \\ p_{n}\end{array}\right]$ called a distribution vector. If $T$ represents the $n \times n$ transition matrix associated with the Markov process, then the probability distribution of the system after $m$ observations is given by $X_{m}=T^{m} X_{0}$
Applied Example 6 Taxi Movement between Zones is called a $\qquad$ . Lastly $X_{m}=T^{m} X_{0}$ , is called a $\qquad$ -
Type your answer here transition matrix, distribution vector,
To keep track of the location of its cabs, Zephyr Cab has divided a town into three zones: Zone I. Zone II. and Zone III. Zephvr's SUBMIT

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Problem 63029

11. Evaluate the following exactly. a) $\cos \left(\frac{25 \pi}{12}\right)$ b) $\sin \left(\frac{19 \pi}{12}\right)$

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Problem 63030

Use the surface integral in Stokes' Theorem to calculate the circulation of the field $\mathbf{F}$ around the curve C in the indicated direction. $\mathbf{F}=y \mathbf{i}+x z \mathbf{j}+x^{2} \mathbf{k}$
C: The boundary of the triangle cut from the plane $8 x+y+z=8$ by the first octant, counterclockwise when viewed from above.
The circulation is $\square$ (Type an integer on fraction.)

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Problem 63031

Question 10
Solve the problem.
A closed box with a square base has to have a volume of 17,000 cubic inches. Find a function for the surface area of the box.

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Problem 63032

Test Content Page 2 of 9
Question 2 Identify the inverse of the given conditional proposition: If a function is continuous, then it is differentiable.

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Problem 63033

For many years, organized crime ran a numbers game that is now run legally by many state governments. The player selects a three-digit number from 000 to 999 . There are 1000 such numbers. A bet of $\$ 4$ is placed on a number, say number 115. If the number is selected, the player wins $\$ 2500$ . If any other number is selected, the player wins nothing. Find the expected value for this game and describe what this means.
The expected value of the numbers game is \\square$ . (Round to the nearest cent.)

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Problem 63034

Write the logarithmic equation as an exponential equation. $\log \left(\frac{1}{\sqrt[3]{10}}\right)=-\frac{1}{3}$

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Problem 63035

Keith must choose a shirt and a pair of pants for today's outfit. He has 3 shirts and 3 pairs of pants to choose from. How many different outfits can he make? $\square$

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Problem 63036

A company produces two types of solar panels per year: $x$ thousand of type $A$ and $y$ thousand of type $B$ . The revenue and cost equations, in millions of dollars, for the year are given as follows. $\begin{array}{l} R(x, y)=3 x+2 y \\ C(x, y)=x^{2}-4 x y+9 y^{2}+13 x-58 y-8 \end{array}$
Determine how many of each type of solar panel should be produced per year to maximize profit.
The company will achieve a maximum profit by selling $\square$ solar panels of type A and selling $\square$ solar panels of type B.

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Problem 63037

here is a line that includes the point $(10,-9)$ and has a slope of 2 . What is its equation in oint-slope form? se the specified point in your equation. Write your answer using integers, proper fractions nd improper fractions. Simplify all fractions. $y$ - $\square$ $=$ $\square$ ( $x$ - $\square$ ) $\square$ Submit

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Problem 63038

There is a line that includes the point $(4,3)$ and has a slope of $\frac{1}{4}$ . What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. $y-\square=\square)$

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Problem 63039

Find the value of $x$ such that $f(x) = 0$ for the function $f(x) = 2x^4 - 8x^2 + 5x - 7$ .

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Problem 63040

$\int_{1}^{5} w^{2} \ln (w) d w$

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Problem 63041

Solve using substitution. $\begin{array}{l} y=-6 \\ -5 x+6 y=-11 \end{array}$ $\square$ $\square$ Submit

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Problem 63042

Solve using elimination. $\begin{array}{l} -2 x+y=6 \\ -2 x+2 y=-4 \end{array}$ $(\square, \square)$ Submit

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Problem 63043

Lesson 5 - Negative Rational Exponents
1. Write $7^{-\frac{2}{3}}$ without exponents.
2. Write $\sqrt[4]{11^{5}}$ without radicals.

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Problem 63044

Use the method of Lagrange multipliers. Minimize $f(x, y)=x^{2}+y^{2}$ subject to $-2 x+4 y=20$
The x -coordinate of the minimum is $\mathrm{x}=-2$ . The $y$ -coordinate of the minimum is $y=$

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Problem 63045

Solve using elimination. $\begin{array}{l} -5 x+6 y=6 \\ 9 x-6 y=18 \end{array}$ $\square$ $\square$ Submit

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Problem 63046

Question Watch Video
Given the three functions below, which expression equals $(d \circ w$ $d(x)=5 x$ $w(x)=\sqrt{x+5} \quad z(x)=x^{4}$
Answer $\sqrt{(5 x)^{4}+5}$ $\sqrt{5 x^{4}+5}$ $\sqrt{5 x+5^{4}}$ $5 \sqrt{x^{4}+5}$

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Problem 63047

30. Find the exact values. a) $\cos 15^{\circ}$ b) $\sin \frac{11 \pi}{12}$

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Problem 63048

6. A student forgets to turn off a $6.00 \times 10^{2} \mathrm{~W}$ block heater of a car when the weather turns warm. If 14 h goes by before he shuts it off, how much energy is used by the heater? (Hint....think back to unit 3 energy formulas). (you answer)

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Problem 63049

Elizabeth Public Schools My Apps New tab rdeddde2rw
December 11 Exit Slip/HW - L4-4 Solve Multiplica $\begin{array}{l} 13+k=25 \\ k= \end{array}$

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Problem 63050

Percentiles
The weights (in pounds) of 20 preschool children are $39,42,25,46,40,23,43,35,30,32,31,50,26,34,41,21,47,27,48,22$ Send data to calculator Send data to Excel
Find $10^{\text {th }}$ and $75^{\text {th }}$ percentiles for these weights. (If necessary, consult a list of formulas.) (a) The $10^{\text {th }}$ percentile: II pounds (b) The $75^{\text {th }}$ percentile: $\square$ pounds Explanation Check

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Problem 63051

$\lim _{h \rightarrow 0} \frac{(x+h)^{3}-x^{3}}{h}$

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Problem 63052

Score: 0/3 Penalty: 0.25 off Watch Video Show Examples
Question Find the slope of a line perpendicular to the line whose equation is $9 x-3 y=81$ . Fully simplify your answer. Answer Attempt 1 out of 2 Submit Answer

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Problem 63053

Solve for $y$ . $18+-1 y>19$ $\square$ Submit

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Problem 63054

12. Le réservoir d'essence de la voiture de Léonie peut contenir 50 L .
Lorsqu'elle roule sur l'autoroute, sa voiture consomme 10 L par 100 km . En ville, elle consomme 12 L par 100 km . Léonie a fait le plein dimanche. Depuis, elle a parcouru 120 km en ville et 150 km sur l'autoroute.
Quelle distance peut-elle encore parcourir sur l'autoroute sans faire le plein?
Réponse : $\qquad$ km sur l'autoroute.

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Problem 63055

$f(x)=-x^{4}+x^{2}$ e) Determine the graph of the function. A. B.

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Problem 63056

Multiply. $6 w^{8} u^{6} \cdot 2 u^{8} \cdot 4 w$
Simplify your answer as much as possible.

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Problem 63057

Rewrite without parentheses and simplify. $(3+u)^{2}$

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Problem 63058

Write an equation to describe the sequence below. Use $n$ to represent the position of a term in the sequence, where $n=1$ for the first term. $34,-102,306, \ldots$
Write your answer using decimals and integers. $a_{n}=\square(\square)^{n-1}$ Submit

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Problem 63059

Solve for $h$ . $\frac{h}{3}+6 \leq 5$ $\square$ Submit

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Problem 63060

nome
Modules Grades Syllabus Lucid (Whiteboard) Meazure Learning LTI a) $(f+g)(x)$ b) $(f-g)(x)$ c) $(f \cdot g)(x)$
In the box below, enter Yes once you have completed your work on your paper that you will submit at the end of the test.

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Problem 63061

A radio tower is located 375 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is $39^{\circ}$ and that the angle of depression to the bottom of the tower is $30^{\circ}$ . How tall is the tower? $\square$ feet Question Help: Video

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Problem 63062

Rewrite without parentheses and simplify. $(5-4 x)^{2}$

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Problem 63063

Rewrite without parentheses and simplify. $(6 w+7)^{2}$

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Problem 63064

2. Function $P$ represents the perimeter, in inches, of a square with side length $x$ inches. a. Complete the table. \begin{tabular}{|c|llllllll} \hline $x$ \\ \hline $P(x)$ & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline \end{tabular} b. Write an equation to represent function $P$ . c. Sketch a graph of function $P$ .

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Problem 63065

A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet. The letter selected will be recorded as the outcome. Consider the following events. Event $X$ : The letter selected comes before " $D$ ". Event $Y$ : The letter selected is found in the word "C $A G E$ ". Give the outcomes for each of the following events. If there is more than one element in the set, separate them with commas. (a) Event " $X$ or $Y$ ": \{D\} (b) Event " $X$ and $Y$ ": \{ \} (c) The complement of the event $X$ : $\square$

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Problem 63066

Consider the following graph of the second derivative, $f^{\prime \prime}(x)$ , for some function $f(x)$ a) Which of the following statements are correct (select all that are)? $f(x)$ is concave upwards on an open interval containing $x=-2$ $f(x)$ is concave upwards on an open interval containing $x=4$ b) Which of the following statements are correct (select all that are)? If a local extreme occurs in $(2,5)$ then it must be a local minimum. If a local extreme occurs in $(4,5)$ then it must be a local minimum.

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Problem 63067

For the parabola $y=-2 x^{2}+4 x-3$ find the vertex. $(4,-3)$ $(1,-1)$ $(-1,1)$ $(-3,4)$

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Problem 63068

Find the discriminant of the equation $5 x^{2}+7 x+3=0$ . 28 34 $-11$ $-53$

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Problem 63069

(a) The $\left[\mathrm{H}^{+}\right]$ of a solution is $2.7 \times 10^{-6}$ Calculate the pH . (b) The $\left[\mathrm{OH}^{-}\right]$ of a solution is $3.2 \times 10^{-8}$ Calculate the pOH . (c) The $\left[\mathrm{H}^{+}\right]$ of a solution is $5.4 \times 10^{-3}$ Calculate the $\left[\mathrm{OH}^{-}\right]$ . (d) The $\left[\mathrm{OH}^{-}\right]$ of a solution is $1.8 \times 10^{-9}$ Calculate the $\left[\mathrm{H}^{+}\right]$ .

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Problem 63070

6) Write the equation of the line in slope-intercept form through the points $(-2,-1)$ and $(1,-7)$ .

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Problem 63071

Video
Miles is helping his mom paint their family's deck. His mom bought 2 gallons of primer for $\$ 79.90$ and 4 gallons of paint for $\$ 171.80$ . How much more does paint cost per gallon than primer? \\square$ per gallon Submit

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Problem 63072

Add. Write your answer in simplest form. $8 \sqrt{10}+8 \sqrt{40}$ $\square$ Submit

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Problem 63073

1.4 Graphs of Linear Equations
Use the given conditions to write an equation for the line in slope-intercept form. 5) Passing through $(-2,-7)$ and $(-8,-6)$

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Problem 63074

Exercice 15. Résoudre les équations suivantes:
1. $x(x+2)(x-1)=0$ .
2. $(x+3)(1-2 x)=0$ .
3. $x^{2}-4=0$ .
4. $9-x^{2}=0$ .
5. $3 x^{2}-7 x+4=0$ .

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Problem 63075

Find an ordered pair $(x, y)$ that is a solution to the equation. $\begin{array}{c} 4 x-y=9 \\ (x, y)=(I: D) \end{array}$

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Problem 63076

The function $f$ is defined for all $x$ in the interval $4<x<6$ . Which of the following statements, if true, implies that $\lim _{x \rightarrow 5} f(x)=17$ ? A) There exists a function $g$ with $f(x) \leq g(x)$ for $4<x<6$ , and $\lim _{x \rightarrow 5} g(x)=17$ .
B There exists a function $g$ with $g(x) \leq f(x)$ for $4<x<6$ , and $\lim _{x \rightarrow 5} g(x)=17$ . (C) There exist functions $g$ and $h$ with $f(x) \leq g(x) \leq h(x)$ for $4<x<6$ , and $\lim _{x \rightarrow 5} g(x)=\lim _{x \rightarrow 5} h(x)=17$ . (D) There exist functions $g$ and $h$ with $g(x) \leq f(x) \leq h(x)$ for $4<x<6$ , and $\lim _{x \rightarrow 5} g(x)=\lim _{x \rightarrow 5} h(x)=17$ .

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Problem 63077

For problems $1-6$ solve the equations. Write the solution set with the exact values given in terms of common or natural logarithms. Also give approximate solutions to 4 decimal places 1) $2^{z}=70$ 2) $e^{3 x+1}-200=240$ 3) $10^{5+8 x}+4200=84000$ 4) $80=320 e^{-0.5 t}$ 5) $5^{x+1}=75$ 6) $11^{1-8 x}=9^{2 x+3}$

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Problem 63078

EXERCICE III：5,5pts $\mathrm{F}-\mathrm{ABC}$ est un triangle équilatéral de côté 1 et O est le milieu de $[\mathrm{AB}]$ . Prendre 5 cm comme unité.
1. Soit (D) l'ensemble de points $M$ du plan tels que $M A^{2}-M B^{2}=-1$ . a) Montrer que M appartient à (D) si, et seulement si $\overrightarrow{O M} \cdot \overrightarrow{A B}=-\frac{1}{2}$ . b) Déterminer et construire l'ensemble des points (D).
2. Soit (C) l'ensemble des points $M$ du plan tels que $M A^{2}+M B^{2}=\frac{5}{2}$ . a) Montrer que M appartient à (C) si, et seulement si $20 M^{2}+\frac{1}{2} A B^{2}=\frac{5}{2} \quad 0,5 \mathrm{pt}$ b) Déterminer et construire l'ensemble des points ( C ). 0,5pt 1 pt 1 pt
G - Le système de sécurité d'une porte est une serrure à code. La porte est muni d'un dispositif portant les touches $1,2,3,4,5,6,7,8,9$ et $\mathrm{A}, \mathrm{B}, \mathrm{C}$ , D . la porte s'ouvre lorsqu'on frappe dans l'ordre trois chiffres et deux lettres qui forment le code. Les chiffres sont nécessairement distincts et les lettres non.
1. Quel est le nombre de codes possibles ? 1pt
2. Déterminer le nombre de codes répondant aux critères suivants : Scared avec Canflanner a) Les trois chiffires sont pairs. $0,5 \mathrm{pt}$ b) Les deux lettres sont identiques 0.5 pt c) Le code contient exactement deux chiffres impairs. $0,5 \mathrm{pt}$

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Problem 63079

Exponents and Polymomials Factoring a quadratic with leading coefficient greater than 1
Factor. $5 z^{2}-18 z-8$

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Problem 63080

A sales tax of $6 \%$ is added to the price of an item. If Marisa buys an item, which expression indicates how much she will pay in all? (A) $n+0.06$ (B) $0.06 n$ (C) $n+0.06 n$ (D) $0.06+0.06 n$

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Problem 63081

Q Exponents and Polynomials Factoring a quadratic with leading coefficient greater than 1
Factor. $8 x^{2}+18 x+9$ $\square$

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Problem 63082

In rolling two fair six sided dice and adding the number appearing on each face, what is the probability that the number is a multiple of 4 ?
1. $\frac{1}{2}$ (2) $\frac{2}{9}$ $3 \frac{1}{12}$ $4 \frac{1}{4}$

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Problem 63083

9. What is the solution of the inequality $2 x-9<7$ ? (A) $x<8$ (B) $x \leq 8$ (C) $x>8$ (D) $x \geq 8$

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Problem 63084

20 Rationalise the denominator and simplify $1 \frac{\sqrt{48}+\sqrt{32}}{\sqrt{27}-\sqrt{18}}$

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Problem 63085

What is the correct answer to the following single step calculation? Remember to use the correct number of significant figures in your answer. $12500+275=$ $\qquad$ 12800 10000 12775 13000

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Problem 63086

Less than -1 $8\left(-\frac{1}{2}\right)$
Equal to -1 $-3\left(\frac{1}{3}\right)$ $-\frac{7}{8}\left(\frac{8}{7}\right)$ Greater than -1 $\frac{4}{5}\left(-\frac{4}{5}\right)$

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Problem 63087

Which of the following could be the graph of $f(x)=-a(x+b)^{1 / 2}$ if both $a$ and $b$ are positive numbers? A. B.

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Problem 63088

Write a function $g$ whose graph represents the indicated transformation of the graph of $f$ .
1. $f(x)=2 x+4$ ; translation 7 units left a. $g(x)=-2 x+11$ C. $g(x)=2 x+18$ b. $g(x)=-2 x+18$ d. $g(x)=2 x+11$

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Problem 63089

Question 7: Let $\left\{\boldsymbol{u}_{1}, \boldsymbol{u}_{2}, \boldsymbol{u}_{3}\right\}$ be an orthonormal basis for a three-dimensional subspace $S$ of an inner product space $V$ , and let $\boldsymbol{x}=2 \boldsymbol{u}_{1}-\boldsymbol{u}_{2}+\boldsymbol{u}_{3} \quad \text { and } \quad \boldsymbol{y}=\boldsymbol{u}_{1}+\boldsymbol{u}_{2}-4 \boldsymbol{u}_{3} .$ a) Determine the value of $\langle\boldsymbol{x}, \boldsymbol{y}\rangle$ . b) Determine the value of $\|\boldsymbol{x}\|$ .

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Problem 63090

A satellite dish is in the shape of a parabolic surface. Signals coming from a satellite strike the surface of the dish and are reflected to the focus, where the receiver is located. The satellite dish has a diameter of 10 feet and a depth of 2 feet. How far from the base of the dish should the receiver be placed?
The receiver should be placed $\square$ feet from the base of the dish. (Simplify your answer.)

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Problem 63091

AP Catoulus AB
1. Given the Table of $f(x)$ shown betow, find $\frac{\text { d }}{d r} g(4)$ given $f^{-2}(x)=g(x)$ \begin{tabular}{|c|c|c|c|c|} \hline $x$ & 0 & 1 & 2 & 4 \\ \hline $f(x)$ & $-1 / 2$ & 4 & 2 & 0 \\ \hline $f(x)$ & 0 & $3 / 4$ & 7 & -1 \\ \hline \end{tabular} $g(4), f^{-1}(k)=\cdots$ $\frac{d x}{d x}(g(4))=-$
2. Given $x^{2} y-4 x^{3}=2 \pi$ find the value of $\frac{d y}{d x}$ at the point $(1,0)$ $\begin{array}{c} 2 x^{\prime}-12 x^{2}=2 \pi \\ \frac{d y}{d x}=2(1)^{1}-12(1)^{2}=2 \pi 2^{2}-2 \pi \\ 2-12-2 \pi \\ -10-2 \pi \\ \frac{d y}{d x}=-10-2 \pi \end{array}$
3. Given $h(x)=\underset{\operatorname{\operatorname {sin}} \sin \left(2 x^{-1}-1\right)}{ }$ Find $\frac{d}{d x} h(x)$ $n^{-1}(x)=\sin ^{-1}($

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Problem 63092

Estelle deposited \$5,000 in a savings account with simple interest. One year later, the account held \$5,300. What was the interest rate?
Use the formula $i=p r t$ , where $i$ is the interest earned, $p$ is the principal (starting amount), $r$ is the interest rate expressed as a decimal, and $t$ is the time in years. $\square$ \%

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Problem 63093

Children's Obesity The following information shows the percentage of children who are obese for 3 age groups: \begin{tabular}{|c|c|} \hline Age & Percent \\ \hline $3-5$ & 9.5 \\ \hline $6-11$ & 17.5 \\ \hline $12-19$ & 18.2 \\ \hline \end{tabular}
If a child is selected at random, find each probability.
Part: $0 / 2$ $\square$
Part 1 of 2 (a) If you select a 3-5 year old child, the child is obese.
The probability is $\square$ \%.

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Problem 63094

a. Find tho intervals on which the function $f(x)$ is increasing and docreasing. b. Find the locations of relative maximin of $f(x)$ . c. Find the intervals on which the function $f(x)$ is concave up and concave down.

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Problem 63095

Use transformations to graph the function. Determine the domain, range, horizontal asymptote, and $y$ -intercept of the function $f(x)=2^{-x}-5$
Use the graphing tool to graph the function.
Click to enlarge graph (For any answer boxes shown with the grapher, type an exact answer.)

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Problem 63096

Given the function $f(x) = \frac{1}{4}x^4 - \frac{1}{3}x^3 - 3x^2 + 1$ :
d. Find the locations of inflection points of $f(x)$ .
e. Find the values of the relative max/min of $f(x)$ .
f. On the interval $[0,5]$ , find the absolute maximum value of $f(x)$ .

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Problem 63097

This quiz: 10 point(s) possible This question: 1 point(s) possible
Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is p dollars, the revenue $R$ (in dollars) is $R(p)=-2 p^{2}+2,000 p$ . (a) At what prices $p$ is revenue zero? (b) For what range of prices will revenue exceed $\$ 400,000$ ? (a) At what prices $p$ is revenue zero?
The revenue equals zero when $p$ is $\$$ $\square$ (Use a comma to separate answers, but do not use commas in any individual numbers.) (b) For what range of prices will revenue exceed $\$ 400,000$ ? $\square$ (Type your answer i

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Problem 63098

24
Suppose that the quantity supplied $S$ and quantity demanded $D$ of $T$ -shirts at a concert are given by the following functions where $p$ is the price. $\begin{array}{l} S(p)=-250+60 p \\ D(p)=1100-75 p \end{array}$
Answer parts (a) through (c). (a) Find the equilibrium price for the $T$ -shirts at this concert.
The equilibrium price is $\$$ $\square$ (Round to the nearest dollar as needed.)
What is the equilibrium quantity? The equilibrium quantity is $\square$ T-shirts. (Type a whole number.) (b) Determine the prices for which quantity demanded is greater than quantity supplied.
For the price $\$$ $\square$ $\mathrm{p} \square \$$ \\square $, the quantity demanded is greater than quantity supplied. (c) What will eventually happen to the price of the$ T$-shirts if the quantity demanded is greater than the quantity supplied?

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Problem 63099

Two cars are traveling along intersecting roads. One car is 150 meters north of the intersection and moving towards the intersection at $18 \mathrm{~m} / \mathrm{s}$ , while the other is 200 meters west of the intersection and moving away from the intersection at $12 \mathrm{~m} / \mathrm{s}$ .
2 seconds later, the cars are gettin $\checkmark$ Select an answer $\square$ at $\square$ $\mathrm{m} / \mathrm{s}$ . (Enter your answer rounded to 3 decimal place closer together farther apart

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Problem 63100

Use linear approximation, i.e. the tangent line, to approximate $\sqrt{81.4}$ as follows: Let $f(x)=\sqrt{x}$ . Find the equation of the tangent line to $f(x)$ at $x=81$ $L(x)=$ $\square$ Using this, we find our approximation for $\sqrt{81.4}$ is $\square$

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Math

Problem 63001

Solve the equation: sin⁡A1+cos⁡A+1+cos⁡Asin⁡A=2cosec⁡A\frac{\sin A}{1+\cos A}+\frac{1+\cos A}{\sin A}=2 \operatorname{cosec} A1+cosAsinA​+sinA1+cosA​=2cosecA.

Problem 63002

Calculate: 6+4+3(4+1)6 + 4 + 3(4 + 1)6+4+3(4+1)

Problem 63003

Find the greatest common factor of the numbers 6, 28, and 30: 6,28,306, 28, 306,28,30.

Problem 63004

Divide 621 by 21. Enter your answer in the box.

Problem 63005

Calculate the result of -2 + 5.

Problem 63006

Find the difference and simplify: 56−27\frac{5}{6}-\frac{2}{7}65​−72​.

Problem 63007

Divide 5,346 by 29. Write your answer as a mixed number in simplest form.

Problem 63008

In triangle XYZXYZXYZ, angle YXZYXZYXZ is 50∘50^{\circ}50∘ and angle XYZXYZXYZ is 75∘75^{\circ}75∘. Find angle XZYXZYXZY in degrees.

Problem 63009

Problem 63010

Evaluate and simplify the expression: −23⋅57-\frac{2}{3} \cdot \frac{5}{7}−32​⋅75​.

Problem 63011

Calculate the result of -2 + (-1).

Problem 63012

Calculate 43−∣−8∣⋅6÷164^{3}-|-8| \cdot 6 \div 1643−∣−8∣⋅6÷16.

Problem 63013

Evaluate the expression and simplify: 12:34\frac{1}{2}: \frac{3}{4}21​:43​

Problem 63014

Find the total length of painter's tape needed for walls ABCDABCDABCD with A(−5,−1)A(-5,-1)A(−5,−1), B(6,3)B(6,3)B(6,3), C(6,−5)C(6,-5)C(6,−5), D(−5,−5)D(-5,-5)D(−5,−5).

Problem 63015

Evaluate the expression and simplify: 23(−916)\frac{2}{3}\left(-\frac{9}{16}\right)32​(−169​).

Problem 63016

Evaluate and simplify the expression: −23⋅57-\frac{2}{3} \cdot \frac{5}{7}−32​⋅75​.

Problem 63017

Problem 63018

Solve the equation by factoring. Check your solution. If there are multiple solutions, list the solutions from leas greatest separated by a comma. x2+4=0x^{2}+4=0x2+4=0 □\square□

Problem 63019

Problem 63020

2. Dr. Smith gives a 20%20 \%20% discount if his customers pay cash for their office visit. Determine the cost of a $65\$ 65$65 office visit if the customer pays cash.

Problem 63021

llowing, given a=−3a=-3a=−3 and b=4b=4b=4. Simplify your answers.18. 4a2+ab−4b4 a^{2}+a b-4 b4a2+ab−4b

Problem 63022

Problem 63023

Creative Section - A4. a) Sketch a tower of height 45 m according to the scale of 1 cm to 9 m . b) The actual length and breadth of a rectangular play ground are 40 m and

Problem 63024

Sinth grede S. 6 Write an equhalent ratio NEAFind the number that makes the ratio equivalent to 99:45. □\square□ : 5 Submit

Problem 63025

(x1+3x3−4x2+5x+3)÷(x2+x+4)=\left(x^{1}+3 x^{3}-4 x^{2}+5 x+3\right) \div\left(x^{2}+x+4\right)=(x1+3x3−4x2+5x+3)÷(x2+x+4)=

Problem 63026

4) Through: (2,−1)(2,-1)(2,−1) Vertex: (3,6)(3,6)(3,6)

Problem 63027

Problem 63028

Problem 63029

11. Evaluate the following exactly. a) cos⁡(25π12)\cos \left(\frac{25 \pi}{12}\right)cos(1225π​) b) sin⁡(19π12)\sin \left(\frac{19 \pi}{12}\right)sin(1219π​)

Problem 63030

Problem 63031

Question 10Solve the problem.A closed box with a square base has to have a volume of 17,000 cubic inches. Find a function for the surface area of the box.

Problem 63032

Test Content Page 2 of 9Question 2 Identify the inverse of the given conditional proposition: If a function is continuous, then it is differentiable.

Problem 63033

Problem 63034

Write the logarithmic equation as an exponential equation. log⁡(1103)=−13\log \left(\frac{1}{\sqrt[3]{10}}\right)=-\frac{1}{3}log(310​1​)=−31​

Problem 63035

Keith must choose a shirt and a pair of pants for today's outfit. He has 3 shirts and 3 pairs of pants to choose from. How many different outfits can he make? □\square□

Problem 63036

Problem 63037

Problem 63038

Problem 63039

Find the value of x x x such that f(x)=0 f(x) = 0 f(x)=0 for the function f(x)=2x4−8x2+5x−7 f(x) = 2x^4 - 8x^2 + 5x - 7 f(x)=2x4−8x2+5x−7.

Problem 63040

∫15w2ln⁡(w)dw\int_{1}^{5} w^{2} \ln (w) d w∫15​w2ln(w)dw

Problem 63041

Solve using substitution. y=−6−5x+6y=−11\begin{array}{l} y=-6 \\ -5 x+6 y=-11 \end{array}y=−6−5x+6y=−11​ □\square□ □\square□ Submit

Problem 63042

Solve using elimination. −2x+y=6−2x+2y=−4\begin{array}{l} -2 x+y=6 \\ -2 x+2 y=-4 \end{array}−2x+y=6−2x+2y=−4​ (□,□)(\square, \square)(□,□) Submit

Problem 63043

Lesson 5 - Negative Rational Exponents1. Write 7−237^{-\frac{2}{3}}7−32​ without exponents.2. Write 1154\sqrt[4]{11^{5}}4115​ without radicals.

Problem 63044

Use the method of Lagrange multipliers. Minimize f(x,y)=x2+y2f(x, y)=x^{2}+y^{2}f(x,y)=x2+y2 subject to −2x+4y=20-2 x+4 y=20−2x+4y=20The x -coordinate of the minimum is x=−2\mathrm{x}=-2x=−2. The yyy-coordinate of the minimum is y=y=y=

Problem 63045

Solve using elimination. −5x+6y=69x−6y=18\begin{array}{l} -5 x+6 y=6 \\ 9 x-6 y=18 \end{array}−5x+6y=69x−6y=18​ □\square□ □\square□ Submit

Solve the equation: $\frac{\sin A}{1+\cos A}+\frac{1+\cos A}{\sin A}=2 \operatorname{cosec} A$ .

Calculate: $6 + 4 + 3(4 + 1)$

Find the greatest common factor of the numbers 6, 28, and 30: $6, 28, 30$ .

Find the difference and simplify: $\frac{5}{6}-\frac{2}{7}$ .

In triangle $XYZ$ , angle $YXZ$ is $50^{\circ}$ and angle $XYZ$ is $75^{\circ}$ . Find angle $XZY$ in degrees.

Evaluate and simplify the expression: $-\frac{2}{3} \cdot \frac{5}{7}$ .

Calculate $4^{3}-|-8| \cdot 6 \div 16$ .

Evaluate the expression and simplify: $\frac{1}{2}: \frac{3}{4}$

Find the total length of painter's tape needed for walls $ABCD$ with $A(-5,-1)$ , $B(6,3)$ , $C(6,-5)$ , $D(-5,-5)$ .

Evaluate the expression and simplify: $\frac{2}{3}\left(-\frac{9}{16}\right)$ .

Evaluate and simplify the expression: $-\frac{2}{3} \cdot \frac{5}{7}$ .

Solve the equation by factoring. Check your solution. If there are multiple solutions, list the solutions from leas greatest separated by a comma. $x^{2}+4=0$ $\square$

2. Dr. Smith gives a $20 \%$ discount if his customers pay cash for their office visit. Determine the cost of a $\$ 65$ office visit if the customer pays cash.

llowing, given $a=-3$ and $b=4$ . Simplify your answers.
18. $4 a^{2}+a b-4 b$

Creative Section - A
4. a) Sketch a tower of height 45 m according to the scale of 1 cm to 9 m . b) The actual length and breadth of a rectangular play ground are 40 m and

Sinth grede S. 6 Write an equhalent ratio NEA
Find the number that makes the ratio equivalent to 99:45. $\square$ : 5 Submit

$\left(x^{1}+3 x^{3}-4 x^{2}+5 x+3\right) \div\left(x^{2}+x+4\right)=$

4) Through: $(2,-1)$ Vertex: $(3,6)$

11. Evaluate the following exactly. a) $\cos \left(\frac{25 \pi}{12}\right)$ b) $\sin \left(\frac{19 \pi}{12}\right)$

Question 10
Solve the problem.
A closed box with a square base has to have a volume of 17,000 cubic inches. Find a function for the surface area of the box.

Test Content Page 2 of 9
Question 2 Identify the inverse of the given conditional proposition: If a function is continuous, then it is differentiable.

Write the logarithmic equation as an exponential equation. $\log \left(\frac{1}{\sqrt[3]{10}}\right)=-\frac{1}{3}$

Keith must choose a shirt and a pair of pants for today's outfit. He has 3 shirts and 3 pairs of pants to choose from. How many different outfits can he make? $\square$

Find the value of $x$ such that $f(x) = 0$ for the function $f(x) = 2x^4 - 8x^2 + 5x - 7$ .

$\int_{1}^{5} w^{2} \ln (w) d w$

Solve using substitution. $\begin{array}{l} y=-6 \\ -5 x+6 y=-11 \end{array}$ $\square$ $\square$ Submit

Solve using elimination. $\begin{array}{l} -2 x+y=6 \\ -2 x+2 y=-4 \end{array}$ $(\square, \square)$ Submit

Lesson 5 - Negative Rational Exponents
1. Write $7^{-\frac{2}{3}}$ without exponents.
2. Write $\sqrt[4]{11^{5}}$ without radicals.

Use the method of Lagrange multipliers. Minimize $f(x, y)=x^{2}+y^{2}$ subject to $-2 x+4 y=20$
The x -coordinate of the minimum is $\mathrm{x}=-2$ . The $y$ -coordinate of the minimum is $y=$

Solve using elimination. $\begin{array}{l} -5 x+6 y=6 \\ 9 x-6 y=18 \end{array}$ $\square$ $\square$ Submit

30. Find the exact values. a) $\cos 15^{\circ}$ b) $\sin \frac{11 \pi}{12}$

6. A student forgets to turn off a $6.00 \times 10^{2} \mathrm{~W}$ block heater of a car when the weather turns warm. If 14 h goes by before he shuts it off, how much energy is used by the heater? (Hint....think back to unit 3 energy formulas). (you answer)

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December 11 Exit Slip/HW - L4-4 Solve Multiplica $\begin{array}{l} 13+k=25 \\ k= \end{array}$

$\lim _{h \rightarrow 0} \frac{(x+h)^{3}-x^{3}}{h}$

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Question Find the slope of a line perpendicular to the line whose equation is $9 x-3 y=81$ . Fully simplify your answer. Answer Attempt 1 out of 2 Submit Answer

Solve for $y$ . $18+-1 y>19$ $\square$ Submit

$f(x)=-x^{4}+x^{2}$ e) Determine the graph of the function. A. B.

Multiply. $6 w^{8} u^{6} \cdot 2 u^{8} \cdot 4 w$
Simplify your answer as much as possible.

Rewrite without parentheses and simplify. $(3+u)^{2}$

Solve for $h$ . $\frac{h}{3}+6 \leq 5$ $\square$ Submit

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Modules Grades Syllabus Lucid (Whiteboard) Meazure Learning LTI a) $(f+g)(x)$ b) $(f-g)(x)$ c) $(f \cdot g)(x)$
In the box below, enter Yes once you have completed your work on your paper that you will submit at the end of the test.

Rewrite without parentheses and simplify. $(5-4 x)^{2}$

Rewrite without parentheses and simplify. $(6 w+7)^{2}$

For the parabola $y=-2 x^{2}+4 x-3$ find the vertex. $(4,-3)$ $(1,-1)$ $(-1,1)$ $(-3,4)$

Find the discriminant of the equation $5 x^{2}+7 x+3=0$ . 28 34 $-11$ $-53$

6) Write the equation of the line in slope-intercept form through the points $(-2,-1)$ and $(1,-7)$ .

Video
Miles is helping his mom paint their family's deck. His mom bought 2 gallons of primer for $\$ 79.90$ and 4 gallons of paint for $\$ 171.80$ . How much more does paint cost per gallon than primer? \\square$ per gallon Submit

Add. Write your answer in simplest form. $8 \sqrt{10}+8 \sqrt{40}$ $\square$ Submit

1.4 Graphs of Linear Equations
Use the given conditions to write an equation for the line in slope-intercept form. 5) Passing through $(-2,-7)$ and $(-8,-6)$

Exercice 15. Résoudre les équations suivantes:
1. $x(x+2)(x-1)=0$ .
2. $(x+3)(1-2 x)=0$ .
3. $x^{2}-4=0$ .
4. $9-x^{2}=0$ .
5. $3 x^{2}-7 x+4=0$ .