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Problem 29001

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 29002

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 29003

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 29004

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 29005

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 29006

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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Problem 29007

Find all rational zeros of $f$ . Then (if necessary) use the depressed equation to find all roots of the equation $f(x)=0$ . $f(x)=2 x^{3}-x^{2}-14 x+7$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The set of all zeros of the given function is $\square$ \}. (Simplify your answer. Type an exact answer, using radicals as needed. Use a comma to separate answers as $n$ B. There are no real zeros.

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Problem 29008

Question The marginal cost of manufacturing $x$ units of a certain product is $C^{\prime}(x)=\frac{x^{2}}{2}-2 x+29$ , in dollars per unit. Find the increase in cost if the production level is raised from 4 units to 8 units.
Enter your answer as a decimal, rounded to the nearest cent.
Provide your answer below:

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Problem 29009

If the demand function is $P=100-4 q$ , ind the level of output at which total revenue is maximum and also find the naximum revenue.

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Problem 29010

4.99 ALEKS www-awa.aleks.com/alekscgi/x/Isl.exe/1o_u-lgNsIkr7j8P3jH-IBgucpIG1tT6kRBabGFF3MoAkZ_UVx0N2O2gj_rnanaokTTH5DkL2d5v0LUaS1SKOKqSfrDfSASKtcqJaF... كل الإشارات المرجعين Google Translate News Maps YouTube Probability Outcomes and event probability 0/5 Mayar Español
A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the first toss, followed by two tails). The 8 outcomes are listed in the table below. Note that each outcome has the same probability.
For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline & \multicolumn{8}{|c|}{Outcomes} & \multirow[b]{2}{*}{Probability} \\ \hline & HHH & THH & TH & $\pi T$ & HTH & HTT & HHT & THT & \\ \hline Event A: Two or more tails & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & \\ \hline Event B: More tails than heads & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & — \\ \hline Event C: No tails on the first two tosses & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ \\ \hline \end{tabular} $\sqrt{\text { Fixplanation }}$ Check (9) 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility

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Problem 29011

Given that $\sin \theta=-\frac{1}{3}$ and that $\cos \theta<0$ , then determine the exact value of $\tan \theta$ Select one: a. $-\sqrt{8}$ b. $\frac{1}{\sqrt{8}}$ c. $\sqrt{8}$ d. $-\frac{1}{\sqrt{8}}$

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Problem 29012

Find the limit $L$ . $L=\lim _{x \rightarrow-5} \frac{2 x^{2}+14 x+20}{x+5}$

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Problem 29013

www-awa.aleks.com/alekscgi/x/lsl.exe/1o_u-IgNslkr7j8P3jH-IBgucpIG1tT6kRBabGFF3MoAkZ_UVx0N2O2gj_rा كل الإشارات الا SCFHS = تسجيل الدخول إنشاء Apple ID الخا... مارستى منصة سطر التعليمية Probability Determining a sample space and outcomes for an event: Experiment... ? QUESTION A number cube with faces labeled from 1 to 6 will be rolled once. The number rolled will be recorded as the outcome. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of rolling the number 2 or 5 . If there is more than one element in the set, separate them with commas.
Sample space: $\square$ Event of rolling the number 2 or 5 : $\square$ EXPLANATION

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Problem 29014

27. The chance that an phone is defective is $3 \%$ . If 50 phones are chosen at random. What is the probability that 4 are defective?

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Problem 29015

Mail - JENIFFER MARIE - [-/2 Points] DETAILS MY NOTES LARCALCET8 2.R.043.
Use a graphing utility to graph the function and estimate the limit $L$ . Use a table to reinforce your conclusion. Then find the limit $L$ by analytic methods. $\begin{array}{l} \lim _{x \rightarrow 0} \frac{\sqrt{2 x+4}-2}{x} \\ L=\square \end{array}$
Show My Work (Required)

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Problem 29016

Let $A=\left[\begin{array}{ccc}2 & -1 & 3 \\ 1 & 0 & -1 \\ 4 & 1 & 2\end{array}\right]^{\prime}$ , then $(\operatorname{adj}(A))_{12}=$
6
05 $-6$

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Problem 29017

Find the limit $L$ (if it exists). (If an answer does not exist, enter DNE.) $\begin{array}{l} \lim _{x \rightarrow 9^{-}} \frac{x-9}{x^{2}-81} \\ L=\square \end{array}$
If it does not exist, explain why. The limit does not exist at $x=9$ because the function approaches different values from the left and right side of 9. The limit does not exist at $x=9$ because the function value is undefined at $x=9$ . The limit does not exist at $x=9$ because the function does not approach $f(9)$ as $x$ approaches 9 . The limit does not exist at $x=9$ because the function is not continuous at any $x$ value. The limit exists at $x=9$ .

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Problem 29018

How much will Cole save if he buys 14 gallons of gas at a price of $\$ 2.149$ per gallon instead of purchasing the gas at a different station that charges $\$ 2.259$ ? Round to the nearest cent. $\$ 1.54$ $\$ 0.90$ $\$ 2.00$ $\$ 9.00$

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Problem 29019

Find the slope of the graph of the function at the given point. $\begin{array}{l} f(x)=\frac{x+8}{\sqrt{4 x+1}},(0,8) \\ f^{\prime}(0)=\square \end{array}$

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Problem 29020

Find the ranges shown for the projectiles in the above image for an initial velocity of $50 \mathrm{~m} / \mathrm{s}$ at the given initial angles. a) $75^{\circ}$ $\square$ m b) $45^{\circ}$ $\square$ c) $15^{\circ}$ $\square$ m

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Problem 29021

theme
Question 7 of 18 The angle $\theta$ between the vectors $u=(1,-2,3)$ and $v=(3,-1,-2)$ equal to $\cos (1 / 14)$ $\cos ^{-1}(1 / 14)$ $\cos ^{-1}(-1 / 14)$ $\cos ^{-1}(-2 / 14)$

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Problem 29022

Theme
Question 9 of ${ }^{18}$ The unit vector parallel to the vector $u=(2,4,-4)$ is $(1 / 5,2 / 5,-2 / 5)$ $(1 / 9,2 / 9,-2 / 9)$ $(-1 / 3,-2 / 3,2 / 3)$ $(1 / 18,2 / 18,-2 / 18)$

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Problem 29023

Question 16 of 18 Let $A$ be $2 \times 2$ matrix with $\operatorname{det}(A)=-2$ , then $\operatorname{det}\left(4 A^{-1}\right)=$ 8 - 2 2 $1 / 8$

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Problem 29024

Work out the volume of the cylindrical tin of paint below. Give your answer in terms of $\pi$ .

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Problem 29025

Use the position function $s(t)=-16 t^{2}+v_{0} t+s_{0}$ for free-falling objects. A ball is thrown straight down from the top of a 800 -foot building with an initial velocity of -20 feet per second. (a) Determine the position and velocity $v(t)$ functions for the ball. $\begin{array}{l} s(t)=\square \\ v(t)=\square \end{array}$ (b) Determine the average velocity, in feet per second, on the interval [1, 2]. $\qquad$ $\mathrm{ft} / \mathrm{s}$ (c) Find the instantaneous velocities, in feet per second, when $t=1$ and $t=2$ . $\begin{array}{ll} v(1)= & \mathrm{ft} / \mathrm{s} \\ v(2)= & \mathrm{ft} / \mathrm{s} \end{array}$ (d) Find the time, in seconds, required for the ball to reach ground level. (Round your answer to three decimal places.) $\qquad$ s (e) Find the velocity of the ball, in feet per second, at impact. (Round your answer to one decimal place.) $\square$ $\mathrm{ft} / \mathrm{s}$

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Problem 29026

14. [-/2 Points] DETAILS MYNOTES
Find the derivative of the function. $\begin{array}{l} y=\ln \left(\sqrt{\frac{x^{2}+16}{x^{2}-16}}\right) \\ y^{\prime}=\square \end{array}$

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Problem 29027

$\begin{array}{l}m+n=9 \\ m-n=2\end{array}$

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Problem 29028

Question 9 Not yet answered fligg quartion
If $f(x)=\left\{\begin{array}{ll}\frac{x^{2}-x}{x^{2}-1} & \text { if } x>1 \\ 2 k-3 & \text { if } x \leq 1\end{array}\right.$ is continuous at $x=1$ , then $k=$ $\frac{1}{2}$ $\frac{3}{4}$ 1 $\frac{7}{4}$ $\frac{-7}{4}$

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Problem 29029

Find the limit $L$ (if it exists). (If an answer does not exist, enter DNE.) $\begin{array}{l} \lim _{x \rightarrow 5^{-}} \frac{|x-5|}{x-5} \\ L=\square \end{array}$
If it does not exist, explain why. The limit does not exist at $x=5$ because the function is not continuous at any $x$ value. The limit does not exist at $x=5$ because the function approaches different values from the left and right side of 5 . The limit does not exist at $x=5$ because the function value is undefined at $x=5$ . The limit does not exist at $x=5$ because the function does not approach $f(5)$ as $x$ approaches 5 . The limit exists at $x=5$ .

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Problem 29030

21. [-/2 Points] DETAILS MYNOTES LARCALCEI8 3.R.048.
Use the Product Rule or the Quotient Rule to find the derivative of the function. $\begin{array}{l} g(x)=x^{9} \cot (x)+7 x \cos (x) \\ g^{\prime}(x)=\square \end{array}$
Show My Work (Required) $\square$ What stens or reasonino did vou use? Your work counts towards vour score.

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Problem 29031

(a) $3^{-2} \times 3^{x}=81$
Find the value of $x$ . $3^{-2} \times 3^{x}=3^{4} \quad 3^{-2} \times 3^{x}$ $(x)=4$ $\frac{4}{2} 2$ (b) $x^{-\frac{1}{3}}=32 x^{-2}$ $\begin{array}{c} 3^{-2}+3^{4}-3 \\ =3 \end{array}$
Find the value of $x$ .

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Problem 29032

【開題 53 空間において，単位球面 $S: x^{2}+y^{2}+z^{2}=1$
上の点 $\mathrm{N}(0,0,1)$ を通る直線 $\ell$ が $S$ と交わる点を $\mathrm{A}(a, b, c)$ とし, $x y$ 平面と交わる点を $\mathrm{B}(p, q, 0)$ とする。ただし， $\ell$ は $x y$ 平面に平行でないとする。このとき， $p, q$ を $a, b, c$ を用いて表せ。逆に， $a, b, c$ を $p, q$ を用いて表せ。

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Problem 29033

I5: Area Between Curve and x-axis Calculate the area between the curve and the x -axis for: $f(x)=x^{2}-2 x$ from $x=0$ to $x=4$ .

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Problem 29034

La marcia Un gruppo di attivisti antinucleari ha organizzato üna marcia di protesta verso un sito scelto per la costruzione di una centrale termonucleare. I manifestanti camminano, in pianura, con velocità costante, dirigendosi in linea retta verso le torri di raffreddamento dell'impianto, che sono già state costru- ore 7:30 ite. Alle 7 uno degli organizzatori della marcia antinucleare vede la cima della torre di raffreddamento con un angolo di elevazione di $2^{\circ} ; 30$ minuti più tardi l'ampiezza dell'angolo è pari a $5^{\circ}$ . Si calcoli a che ora il gruppo raggiungerà il cantiere, arrotondando il risultato al minuto.

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Problem 29035

12. Risolvi l'equazione $2 \cos ^{2}(x)-3 \sin (x)-1=0$ nell'intervallo $[0,2 \pi]$ . (a) $x=\frac{\pi}{4}, \frac{5 \pi}{4}$ (b) $x=\frac{\pi}{6}, \frac{5 \pi}{6}$ (c) $x=\frac{\pi}{3}, \frac{2 \pi}{3}, \frac{4 \pi}{3}, \frac{5 \pi}{3}$ (d) Nessuna soluzione (e) $x=\arcsin \left(-\frac{1}{3}\right), \pi-\arcsin \left(-\frac{1}{3}\right)$

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Problem 29036

2) Peter bought a video game console for $\$ 1,200$ on an installment plan. The installment agreement included a $14 \%$ down payment and 16 monthly payments of \ $55 each. a) How much is the down payment? b) What is the total amount of the monthly payments? c) How much did Peter pay for the video game console? d) What is the finance charge?$ \square $3) Kate needs to borrow$ \ $30,000$ from a local bank. He uses the table of monthly payments to compare the monthly payments for a $4 \%$ loan for three different time periods. a) What is the monthly payment for a 2-year loan? b) What is the monthly payment for a 3-year loan? $125-0$ marnalutho c) What is the monthly payment for a 5-year loan?

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Problem 29037

7(3). Используя метод Лагранжа, найдите условные локальные эхстремумы фунвия $z=x^{2} y$ при условин $x+y-2=0$ .

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Problem 29038

4) Jack is a freshman attending a 4 -year college. He has been approved for an $\$ 8,900$ subsidized federal loan at $4.75 \%$ for 10 years. How much will the U.S. Department of Education subsidize in interest costs during the 4.5-year nonpayment period. Use I= Prt.

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Problem 29039

Find $\lim _{x \rightarrow 4} \frac{x^{2}-x-12}{x-4}$

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Problem 29040

202 Duante le riprese di un film di azione, un oggetto viene lanciato dalla fonestra di un grattacielo a unaltezza di $60,0 \mathrm{~m}$ verso una parete verticale distante $25,0 \mathrm{~m}$ . La velocità con cui l'oggetto viene lanclato è inclinata di $45,0^{8}$ verso lalto rispetto all'orizzontale, mentre quella con cui impatta sulla parete forma un angolo di $60^{\circ}$ verso il basso con lorizzontale. Trova: a. il modulo della velocità di lancio: b. laltezza dal suolo del punto di impatto con la parete. [13,4 m/s; 50,8m]

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Problem 29041

1. $18^{\circ} \mathrm{C}=$ $\qquad$
2. $176^{\circ} \mathrm{F}=$ ${ }^{\circ} \mathrm{F}$
3. $40^{\circ} \mathrm{C}=$ $\qquad$ ${ }^{\circ} \mathrm{C}$
4. $95^{\circ} \mathrm{F}=$ $\qquad$ ${ }^{\circ} \mathrm{F}$ $\qquad$
5. $37^{\circ} \mathrm{C}=$ $\qquad$ ${ }^{\circ} \mathrm{C}$

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Problem 29042

$-\frac{\pi}{2} \leq \theta \leq \frac{\pi}{2}$ . Find the value of $\theta$ in radians. $\sin (\theta)=\frac{1}{2}$
Write your answer in simplified, rationalized form. Do not round. $\theta=$ $\square$

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Problem 29043

A vector with magnitude 4 points in a direction 295 degrees counterclockwise from the positive $x$ axis. Write the vector in component form. Vector $=$ $\square$ Give each value accurate to at least 1 decimal place Add Work
Submit Question

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Problem 29044

Determine the following indefinite integrals:
1. $\int_{2}^{5}(-3 v+4) d \dot{v}$
2. $\int_{-1}^{1}\left(t^{2}-2\right) d t$
3. $\int_{-1}^{1}\left(t^{3}-9 t\right) d t$
4. $\int_{1}^{2}\left(\frac{3}{x^{2}}-1\right) d x$
5. $\int_{-3}^{3} v^{1 / 3} d x$
6. $\int_{0}^{2} 6 x d x$

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Problem 29045

Determine the real roots of the cubic function $f(x)=x^{3}+3 x^{2}-13 x-15$ . Correctly plot the THREE roots on the coordinate plane.

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Problem 29046

W. A non-viscous incompressible liquid (with homogeneous density $796 \mathrm{~kg} / \mathrm{m}^{3}$ ) is flowing in the pipe shown in the figure. The pipe radius is $R=23.5 \mathrm{~cm}$ in the first section (before the funnelshaped mid section) and $r=14.5 \mathrm{~cm}$ in the second section (after the funnel-shaped mid section). We are informed that the pipe axis is perfectly horizontal, after an analysis of the liquid streamlines. From measurements, we also know that a tracer following the liquid flow moves through at point A with a velocity of $0.790 \mathrm{~m} / \mathrm{s}$ , and the pressure at point B is 725 Pa . What's the pressure at point A?

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Problem 29047

Question 10 of 10 An object with a mass of 10 kg has a potential energy of 2000 J . Based on this Information, how high above the ground is the object? (10 points) A. 196000 m B. 20000 m

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Problem 29048

6. For each equation below, find the value(s) of $x$ that $m$ (Lesson 2-18) a. $10=\frac{1+7 x}{7+x}$ b. $0.2=\frac{6+2 x}{12+x}$ c. $0.8=\frac{x}{0.5+x}$ d. $3.5=\frac{4+2 x}{0.5-x}$

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Problem 29049

Questions à choix multiples (1) Quel point appartient à l'ensemble-solution de l'inéquation $2 x+5 y<24$ ? a) $A(7,2)$ b) $\mathrm{B}(2,7)$ (c)) $\mathrm{C}(-3,5)$ d) $D(5,3)$

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Problem 29050

15. What are the solutions for the quadratic function $y=3 x^{2}-8 x+7$ ? $x=\frac{4 \pm i \sqrt{5}}{3}$ $x=\frac{-4 \pm i \sqrt{5}}{3}$ $x=-6 ; x=14$ $x=\frac{8 \pm \sqrt{20}}{6}$

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Problem 29051

Roger factored a polynomial to determine that the zeros of the polynomial are located at $x=-5, x=-2$ and $x=3$ . Which of the following functions is the factored form of that polyno A. $f(x)=(x+5)(x+2)(x+3)$ B. $f(x)=(x-5)(x-2)(x-3)$ C. $f(x)=(x-5)(x-2)(x+3)$ D. $f(x)=(x+5)(x+2)(x-3)$

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Problem 29052

17. Reflect the function $f(x)=x^{3}$ about the $x$ -axis and translate it 3 units to the left to produce $g(x)$ . Which equation represents the function $g(x)$ ?
$g(x)=-(x+3)^{3}$
$g(x)=-x^{3}-3$
$g(x)=-x^{3}+3$
$g(x)=-(x-3)^{3}$

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Problem 29053

Which system of linear inequalities is graphed? $\left\{\begin{array}{c}x<-2 \\ y \leq-x-1\end{array}\right.$ $\left\{\begin{array}{c}x<-3 \\ y \leq-x-1\end{array}\right.$ $\left\{\begin{array}{c}x<-3 \\ y \leq-f ⿹ 勹+1\end{array}\right.$ $\left\{\begin{array}{c}x \leq-3 \\ y \leq-x-3\end{array}\right.$ 1 2 3

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Problem 29054

Lee saw c cardinals and 5 robins in his yard. Choose the expression that shows the number of birds Lee saw in all. $c+5$ $c-5$ $\frac{c}{5}$ $5 c$ Suktronit

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Problem 29055

$\int \frac{e^{1 / t}}{t^{2}} d t$

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Problem 29056

11. The function $g(x)=4(x-6)^{3}-2$ was created by transforming $f(x)=x^{3}$ . To create $g(x), f(x)$ was -Choose the correct answer - - , then was $\qquad$ and then was -Choose the correct answer - . - Choose the correct answer - stretched vertically by a factor of 4 Clear All compressed vertically by a factor 4

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Problem 29057

12. Deux chiffres (de 0 à 9 inclusivement) sont choisis indépendamment et au hasard. Détermine la probabilité qu'ils totalisent 10.

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Problem 29058

$\qquad$ 2. Which set of ordered pairs represents $y$ as a function of $x$ ? A. $\{(2,5),(3,7),(4,9),(5,11)\}$ B. $\{(-1,6),(-4,3),(0,5),(-1,8)\}$ C. $\{(0,25),(-1,17),(14,-9),(0,-3)\}$ D. $\{(-5,-5),(-5,9),(-4,-2),(-3,1)\}$

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Problem 29059

On August 15,2025 , Splish Brothers Inc. signs a $\$ 240000,6 \%$ , twelve-month note payable. Which of the following entries correctly records the accrued interest on December 31, 2025?
Interest Expense 14400.00
Interest Payable $14400.00$
Interest Expense 5400.00
Interest Payable
Interest Expense 9000.00
Interest Payable Interest Expense 4800.00
Interest Payable 4800.00

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Problem 29060

Find the right number that fits the sequence. $\begin{array}{lllllll}7 & 4 & 10 & 12 & 13 & 36 & ?\end{array}$
49 25 16 15 72 Continue

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Problem 29061

solution. $\begin{array}{l} x+2 y=-8 \\ y=-\frac{3}{2} x-6 \end{array}$
Click to select points on the graph.

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Problem 29062

Vrite 5.79 in expanded form. $5.79=\quad \times 1+\square \times \frac{1}{10}+\square \times \frac{1}{100}$

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Problem 29063

What is the magnitude of an earthquake 1410 times as intense as a standard earthquake? a) 3.15 b) 3.74 c) 2.61 d) 2.96

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Problem 29064

If the formula $\bar{x}-\frac{1}{n} \sum_{i=1}^{n} x$ is used to find the mean of the following sample, what is the value of $m$ ? $43,36,93,2,28,83,10,22,9,84,41,3,13,20$ A. 13 B. 15 C. 14 D. 16

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Problem 29065

7. Let $f(x)=2 x^{4}-4 x^{3}-22 x^{2}+32 x+48$ . a. (2 points) Use your graphing calculator to find the integer zeros of $y=f(x)$ . b. (6 points) Use synthetic or polynomial division to find any remaining real zeros (if any exist). c. (4 points) Factor $f$ completely over the real numbers. Here, "completely factor" means that $f$ should be made up of only linear and/or irreducible quadratic factors. An irreducible quadratic is a quadratic function with no real zeros such as $x^{2}+1$ . $f(x)=$

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Problem 29066

Solve. $\begin{array}{l} y^{3}-8 y^{2}-9 y=0 \\ y=\square \end{array}$ $\square$ (Use a comma to separate answers as needed.)

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Problem 29067

How many passes are expected to be executed to sort the maximum value using bubble sort algorithm in an array with $\mathrm{n}>1$ where n is the number of elements? 3 1 5 2 4 0

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Problem 29068

In the equation $\log _{3}(7 x-1)=\log _{3}(5 x+17)$ , what is the value of $x$ a) 7 b) 9 c) 11 d) 13 a b C d

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Problem 29069

The equation of a circle is $(x-9)^{2}+(y+8)^{2}=4$ . What are the center and radius of the circle?
Choose 1 answer: (A) The center is $(9,-8)$ and the radius is 2 .
B The center is $(-9,-8)$ and the radius is 2 . (C) The center is $(9,8)$ and the radius is 2 . (D) The center is $(9,-8)$ and the radius is 4 .

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Problem 29070

Quadratic Formula
Solve for x . $\begin{array}{c} x^{2}-5 x-24=0 \\ x=[?] \end{array}$
Remember the quadratic formula: $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

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Problem 29071

e 0.05 in expanded form. $0.05=\square \times 1+\square \times \frac{1}{10}+\square \times \frac{1}{100}$

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Problem 29072

1. Which of these is an equivalent trigonomerric ratio for $\sin \frac{2 \pi}{5}$ ? a) $\cos \frac{\pi}{10}$ c) $-\cos \frac{9 \pi}{10}$ b) $\sin \frac{3 \pi}{5}$ d) all of these $\alpha=\frac{12}{2}$ and

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Problem 29073

atic by factoring. $2 x^{2}+9 x-1=2 x-7$

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Problem 29074

Plant assets
22. Property, plant, and equipment are conventionally presented in the balance sheet at A) Replacement cost less accumulated depreciation B) Historical cost less salvage value () Original cost adjusted for general price-level changes D) Histonical cost less depreciated portion thereof
23. On December 1 of the current year, Horton Co purchased a tract of land as a factory site for \ $300,000. The old building on the property was razed, and salvaged materials resulting from demolition were sold. Additional costs incurred and salvage proceeds realized during December were as follows: Cost to raze old building$ $\$ 25,000$ $
Legal fees for purchase contract and to record ownership Title guarantee insurance Proceeds from sale of salvaged materials In Horton's cur atrats 4,000 land? A) $\$ 311,000$ B) $\$ 321,000$ C) $\$ 332,000$ D) $\$ 336,000$
24. During the year just ended, LDTD Co. made the following expenditures related to property acquired for a plant site: Purchase price Legal fies $\$ 300,000$ Costs of preparing the 130,000 $\begin{array}{ll}\text { Tiste esprance and recording fees } & 45,000 \\ & 15,000\end{array}$ Bour mach should be capitalized in the property account? A) $\$ 390,000$ B) $\$ 360,000$ C) 5345,000 D) $\$ 3300000$

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Problem 29075

5. Which of the following values of $x$ does not lie in the domain of $y=-2 \sqrt{5-2 x}$ ? (1) -3 (3) 2.5 (2) 2 (4) 4
COMMON CORE Algebra II, Final ASSESSMENTS (1)

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Problem 29076

12. From the given data, which trig ratio will you use to solve for side $x$ in the $\Delta$ below? $\qquad$

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Problem 29077

2) Si $f(x, y)=1$ , alors pour tout domaine $D$ du plan cartésien, on a: $\operatorname{Aire}(D)=\iint_{D} d A$
Exemple: calculer l'aire du domaine $D$ délimité par les courbes des fonctions $y=2-x^{2}$ et $y=|x|$ . I

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Problem 29078

New! Multi Part Question - when you answer this question we'll mark each part individually Bookwork code: 1E Calculator allowed
Work out the solutions to these simultaneous equations: $\begin{aligned} x & =5-y \\ y^{2} & =3 x+28 \end{aligned}$
If any of your answers are decimals, give them to 2 d.p.

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Problem 29079

$\cos x \sin x=0$

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Problem 29080

recelculus Q-s Propertes of matrices w. Ras bave gris
If $E=\left[\begin{array}{ccc}-3 & 1 & -1 \\ -3 & 3 & 1\end{array}\right], F=\left[\begin{array}{cc}5 & 1 \\ 4 & -1 \\ -3 & -3\end{array}\right]$ , and $G=\left[\begin{array}{cc}-5 & -1 \\ -2 & 1\end{array}\right]$ , is the following statement true or false? $E(F G)=(G) F$ true false Subm:

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Problem 29081

Math $2 A$ REVIEW SHOW ALL WORK Unit 5 Module 9 Linear Equations and Inequalities Name $\qquad$ Datel Per $\qquad$ LT SA: I can solve and write multi-step equations that intudo declmbls and froctions. I can solve the eral equaktons. 1) Solve the equation for $x$ . 2) Solve the equation for $x$ . $7 x+8(x-3)=12-3 x$ $14.3 h-6.5 h=10.3 h+9$

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Problem 29082

5
Stacy graphed the line $y-5=2(x-4)$ on a coordinate grid. What is the slope and $y$ -intercept of this line? (A) Slope: 2, y-intercept: -3 (B) Slope: 2,y-intercept: 3 (C) Slope: $1 / 2, y$ -intercept: 3 (D) Slope: $1 / 2, y$ -intercept: -3

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Problem 29083

a. $\mathrm{SA}=396 \mathrm{~cm}^{2}$ b. $\mathrm{SA}=7 \pi \mathrm{in}^{2}$ $\mathrm{SA}=275 \mathrm{~cm}^{2}$ $S A=175 \pi$ in $^{2}$ a. Scale Factor: $\square$ b. Scale Factor: $\square$

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Problem 29084

The set of ordered pairs $(1,7),(3,8),(3,6),(6,5),(2,11),(1,4)$ represents a relation. Answer parts $a$ and $b$ . a. Make an arrow diagram that represents the relation. Which of the following arrow diagrams represents the relation? A. B. C. D.
Click to select your answer. Review Progress Question 2 of 12 Back Next Sign out Dec 16 9:19 INTL

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Problem 29085

Given $f(x)=-\csc (4 x)$ , find $f^{\prime}(x)$

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Problem 29086

a) Factorise $x^{2}+9 x+14$ . b) By sketching a graph, solve the inequality $x^{2}+9 x+14 \leq 0$ .

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Problem 29087

Work out the lowest integer value that $k$ can take if $7+4 k>k+40$

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Problem 29088

6 vans transported a total of $f \mathrm{~kg}$ of food to a wedding venue. Each van transported the same amount of food, which was at least 30 kg .
Write and solve an inequality for $f$ .

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Problem 29089

$\begin{array}{r}3 x-4=8 \\ x=\end{array}$

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Problem 29090

quations below? $5 x-2=18$

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Problem 29091

pueblo was occupied around 1298 A.D. (based on evidence from potsherds and stone tools). The following data give trem-ring dates (A.D.) from adjacent archaeological sites: \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|} \hline 1196 & 1274 & 1275 & 1282 & 1282 & 1278 & 1279 & 1323 & 1324 & 1237 \\ \hline \end{tabular} § USE SALT (a) Use a calculator with sample mean and standard deviation keys to find $\bar{x}$ and $s$ . (Write your standard deviation in years and round it to four decimal place.) $\begin{array}{l} \bar{x}=\square \mathrm{X} \text { A.D. } \\ s=\text { Enter an exact number yr } \end{array}$
1298 A.D.? Use a $1 \%$ level of significance. (i) What is the level of significance? 0.01
State the null and alternate hypotheses. (Enter $!=$ for $\neq$ as needed.) $\begin{array}{l} H_{0}: \mu=1298 \\ H_{1}: \mu!=1298 \end{array}$ (ii) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. We'll use the standard normal, since we assume that $x$ has a normal distribution and $\sigma$ is unknown. We'll use the standard normal, since we assume that $x$ has a normal distribution and $\sigma$ is known. We'll use the Student's $t$ , since we assume that $x$ has a normal distribution and $\sigma$ is unknown. We'll use the Student's $t$ , since we assume that $x$ has a normal distribution and $\sigma$ is known.
Compute the appropriate sampling distribution value of the sample test statistic. (Round your answer to two decimal places.) $\square$ 9:54 AM

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Problem 29092

Divide: $\frac{-10}{-5}=\square$ subrit

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Problem 29093

A bridge is supported by three arches. The function that describes the arches is $h(x)=-0.25 x^{2}+2.375 x$ , where $h(x)$ is the height, in metres, of the arch above the ground at any distance, $x$ , in metres, from one end of the bridge. How far apart ar the bases of each arch? 1) 9.5 m 2) 9.2 m 3) 8.6 m 4) 10.3 m

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Problem 29094

Time left 0:29
The average value of the function $f(x)=-\left|x^{5}\right|$ on the interval $[-2,2]=$ Select one: a. $-\frac{1}{4} \int_{0}^{32} \sqrt[5]{y} d y$ b. $\frac{1}{4} \int_{2}^{-2} x^{5} \mathrm{~d} x$ c. Else d. $-\frac{1}{16} \int_{0}^{32} \sqrt[5]{y} \mathrm{~d} y$ e. $\frac{1}{2} \int_{32}^{0}(2-\sqrt[5]{y}) \mathrm{d} y$ Next p

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Problem 29095

$\int_{0}^{\infty} \frac{2}{1+x^{2}}$ a. none b. $\frac{\pi}{2}$ c. $-\pi$ d. $\pi$

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Problem 29096

Questions 1 through 3 refer to the following. The function $f$ is given by $f(x)=2.5 x^{4}+3 x^{3}-2.6 x^{2}-5.1 x-5.6$ .
2 2 Mark for Review Part B Find all real zeros of $f$ . Note On your AP Exam, you will handwrite your responses to free-response questions in a test booklet
B $\square$ I $\underline{u}$ U $\Omega$ $\checkmark$ do 国睨 $\leftrightarrows$ $\rightarrow$ $x^{2}$ $x_{2}$ I

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Problem 29097

8. What is the name of this angle? $<$ HSN $<\mathrm{NSH}$ $<\mathrm{SHN}$ $<\mathrm{HNS}$

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Problem 29098

The area of the region encloded by the curves $y=-\frac{1}{2} x^{2}$ and $y=-4 \sqrt{x}$ is given by:
Select one: a. $\int_{0}^{8}\left(\sqrt{2 y}-\frac{y^{2}}{16}\right) d y$ b. $\int_{0}^{4}\left(\sqrt{2 y}-\frac{y^{2}}{16}\right) d y$ c. $\int_{0}^{4}\left(8 \sqrt{x}-x^{2}\right) d x$ d. $\int_{0}^{4}\left(4 \sqrt{x}-\frac{1}{2} x^{2}\right) d x$ e. Else

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Problem 29099

The price of an item has risen to $\$ 423$ today. Vesterday it was 5180 . Find the percentage increase. $\square$ \%

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Problem 29100

$\log (3 x-7)+\log (3 x+1)=1+\log 2$

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Solve

Problem 29001

Problem 29002

Problem 29003

Problem 29004

Problem 29005

Problem 29006

Problem 29007

Problem 29008

Problem 29009

If the demand function is P=100−4qP=100-4 qP=100−4q, ind the level of output at which total revenue is maximum and also find the naximum revenue.

Problem 29010

Problem 29011

Given that sin⁡θ=−13\sin \theta=-\frac{1}{3}sinθ=−31​ and that cos⁡θ<0\cos \theta<0cosθ<0, then determine the exact value of tan⁡θ\tan \thetatanθ Select one: a. −8-\sqrt{8}−8​ b. 18\frac{1}{\sqrt{8}}8​1​ c. 8\sqrt{8}8​ d. −18-\frac{1}{\sqrt{8}}−8​1​

Problem 29012

Find the limit LLL. L=lim⁡x→−52x2+14x+20x+5L=\lim _{x \rightarrow-5} \frac{2 x^{2}+14 x+20}{x+5}L=x→−5lim​x+52x2+14x+20​

Problem 29013

Problem 29014

27. The chance that an phone is defective is 3%3 \%3%. If 50 phones are chosen at random. What is the probability that 4 are defective?

Problem 29015

Problem 29016

Let A=[2−1310−1412]′A=\left[\begin{array}{ccc}2 & -1 & 3 \\ 1 & 0 & -1 \\ 4 & 1 & 2\end{array}\right]^{\prime}A=⎣⎡​214​−101​3−12​⎦⎤​′, then (adj⁡(A))12=(\operatorname{adj}(A))_{12}=(adj(A))12​= 605 −6-6−6

Problem 29017

Problem 29018

How much will Cole save if he buys 14 gallons of gas at a price of $2.149\$ 2.149$2.149 per gallon instead of purchasing the gas at a different station that charges $2.259\$ 2.259$2.259 ? Round to the nearest cent. $1.54\$ 1.54$1.54 $0.90\$ 0.90$0.90 $2.00\$ 2.00$2.00 $9.00\$ 9.00$9.00

Problem 29019

Find the slope of the graph of the function at the given point. f(x)=x+84x+1,(0,8)f′(0)=□\begin{array}{l} f(x)=\frac{x+8}{\sqrt{4 x+1}},(0,8) \\ f^{\prime}(0)=\square \end{array}f(x)=4x+1​x+8​,(0,8)f′(0)=□​

Problem 29020

Find the ranges shown for the projectiles in the above image for an initial velocity of 50 m/s50 \mathrm{~m} / \mathrm{s}50 m/s at the given initial angles. a) 75∘75^{\circ}75∘ □\square□ m b) 45∘45^{\circ}45∘ □\square□ c) 15∘15^{\circ}15∘ □\square□ m

Problem 29021

Problem 29022

Problem 29023

Question 16 of 18 Let AAA be 2×22 \times 22×2 matrix with det⁡(A)=−2\operatorname{det}(A)=-2det(A)=−2, then det⁡(4A−1)=\operatorname{det}\left(4 A^{-1}\right)=det(4A−1)= 8 - 2 2 1/81 / 81/8

Problem 29024

Work out the volume of the cylindrical tin of paint below. Give your answer in terms of π\piπ.

Problem 29025

Problem 29026

14. [-/2 Points] DETAILS MYNOTESFind the derivative of the function. y=ln⁡(x2+16x2−16)y′=□\begin{array}{l} y=\ln \left(\sqrt{\frac{x^{2}+16}{x^{2}-16}}\right) \\ y^{\prime}=\square \end{array}y=ln(x2−16x2+16​​)y′=□​

Problem 29027

m+n=9m−n=2\begin{array}{l}m+n=9 \\ m-n=2\end{array}m+n=9m−n=2​

Problem 29028

Problem 29029

Problem 29030

Problem 29031

Problem 29032

Problem 29033

I5: Area Between Curve and x-axis Calculate the area between the curve and the x -axis for: f(x)=x2−2xf(x)=x^{2}-2 xf(x)=x2−2x from x=0x=0x=0 to x=4x=4x=4.

Problem 29034

Problem 29035

Problem 29036

Problem 29037

7(3). Используя метод Лагранжа, найдите условные локальные эхстремумы фунвия z=x2yz=x^{2} yz=x2y при условин x+y−2=0x+y-2=0x+y−2=0.

Problem 29038

4) Jack is a freshman attending a 4 -year college. He has been approved for an $8,900\$ 8,900$8,900 subsidized federal loan at 4.75%4.75 \%4.75% for 10 years. How much will the U.S. Department of Education subsidize in interest costs during the 4.5-year nonpayment period. Use I= Prt.

Problem 29039

Find lim⁡x→4x2−x−12x−4\lim _{x \rightarrow 4} \frac{x^{2}-x-12}{x-4}limx→4​x−4x2−x−12​

Problem 29040

Problem 29041

Problem 29042

−π2≤θ≤π2-\frac{\pi}{2} \leq \theta \leq \frac{\pi}{2}−2π​≤θ≤2π​. Find the value of θ\thetaθ in radians. sin⁡(θ)=12\sin (\theta)=\frac{1}{2}sin(θ)=21​Write your answer in simplified, rationalized form. Do not round. θ=\theta=θ= □\square□

Problem 29043

A vector with magnitude 4 points in a direction 295 degrees counterclockwise from the positive xxx axis. Write the vector in component form. Vector === □\square□ Give each value accurate to at least 1 decimal place Add WorkSubmit Question

Problem 29044

Problem 29045

Determine the real roots of the cubic function f(x)=x3+3x2−13x−15f(x)=x^{3}+3 x^{2}-13 x-15f(x)=x3+3x2−13x−15. Correctly plot the THREE roots on the coordinate plane.

Problem 29046

Problem 29047

Question 10 of 10 An object with a mass of 10 kg has a potential energy of 2000 J . Based on this Information, how high above the ground is the object? (10 points) A. 196000 m B. 20000 m

Problem 29048

6. For each equation below, find the value(s) of xxx that mmm (Lesson 2-18) a. 10=1+7x7+x10=\frac{1+7 x}{7+x}10=7+x1+7x​ b. 0.2=6+2x12+x0.2=\frac{6+2 x}{12+x}0.2=12+x6+2x​ c. 0.8=x0.5+x0.8=\frac{x}{0.5+x}0.8=0.5+xx​ d. 3.5=4+2x0.5−x3.5=\frac{4+2 x}{0.5-x}3.5=0.5−x4+2x​

Problem 29049

Questions à choix multiples (1) Quel point appartient à l'ensemble-solution de l'inéquation 2x+5y<242 x+5 y<242x+5y<24 ? a) A(7,2)A(7,2)A(7,2) b) B(2,7)\mathrm{B}(2,7)B(2,7) (c)) C(−3,5)\mathrm{C}(-3,5)C(−3,5) d) D(5,3)D(5,3)D(5,3)

Problem 29050

15. What are the solutions for the quadratic function y=3x2−8x+7y=3 x^{2}-8 x+7y=3x2−8x+7 ? x=4±i53x=\frac{4 \pm i \sqrt{5}}{3}x=34±i5​​ x=−4±i53x=\frac{-4 \pm i \sqrt{5}}{3}x=3−4±i5​​ x=−6;x=14x=-6 ; x=14x=−6;x=14 x=8±206x=\frac{8 \pm \sqrt{20}}{6}x=68±20​​

Problem 29051

Problem 29052

Problem 29053

Problem 29054

Lee saw c cardinals and 5 robins in his yard. Choose the expression that shows the number of birds Lee saw in all. c+5c+5c+5 c−5c-5c−5 c5\frac{c}{5}5c​ 5c5 c5c Suktronit

Problem 29055

If the demand function is $P=100-4 q$ , ind the level of output at which total revenue is maximum and also find the naximum revenue.

Given that $\sin \theta=-\frac{1}{3}$ and that $\cos \theta<0$ , then determine the exact value of $\tan \theta$ Select one: a. $-\sqrt{8}$ b. $\frac{1}{\sqrt{8}}$ c. $\sqrt{8}$ d. $-\frac{1}{\sqrt{8}}$

Find the limit $L$ . $L=\lim _{x \rightarrow-5} \frac{2 x^{2}+14 x+20}{x+5}$

27. The chance that an phone is defective is $3 \%$ . If 50 phones are chosen at random. What is the probability that 4 are defective?

Let $A=\left[\begin{array}{ccc}2 & -1 & 3 \\ 1 & 0 & -1 \\ 4 & 1 & 2\end{array}\right]^{\prime}$ , then $(\operatorname{adj}(A))_{12}=$
6
05 $-6$

How much will Cole save if he buys 14 gallons of gas at a price of $\$ 2.149$ per gallon instead of purchasing the gas at a different station that charges $\$ 2.259$ ? Round to the nearest cent. $\$ 1.54$ $\$ 0.90$ $\$ 2.00$ $\$ 9.00$

Find the slope of the graph of the function at the given point. $\begin{array}{l} f(x)=\frac{x+8}{\sqrt{4 x+1}},(0,8) \\ f^{\prime}(0)=\square \end{array}$

Find the ranges shown for the projectiles in the above image for an initial velocity of $50 \mathrm{~m} / \mathrm{s}$ at the given initial angles. a) $75^{\circ}$ $\square$ m b) $45^{\circ}$ $\square$ c) $15^{\circ}$ $\square$ m

Question 16 of 18 Let $A$ be $2 \times 2$ matrix with $\operatorname{det}(A)=-2$ , then $\operatorname{det}\left(4 A^{-1}\right)=$ 8 - 2 2 $1 / 8$

Work out the volume of the cylindrical tin of paint below. Give your answer in terms of $\pi$ .

14. [-/2 Points] DETAILS MYNOTES
Find the derivative of the function. $\begin{array}{l} y=\ln \left(\sqrt{\frac{x^{2}+16}{x^{2}-16}}\right) \\ y^{\prime}=\square \end{array}$

$\begin{array}{l}m+n=9 \\ m-n=2\end{array}$

I5: Area Between Curve and x-axis Calculate the area between the curve and the x -axis for: $f(x)=x^{2}-2 x$ from $x=0$ to $x=4$ .

7(3). Используя метод Лагранжа, найдите условные локальные эхстремумы фунвия $z=x^{2} y$ при условин $x+y-2=0$ .

4) Jack is a freshman attending a 4 -year college. He has been approved for an $\$ 8,900$ subsidized federal loan at $4.75 \%$ for 10 years. How much will the U.S. Department of Education subsidize in interest costs during the 4.5-year nonpayment period. Use I= Prt.

Find $\lim _{x \rightarrow 4} \frac{x^{2}-x-12}{x-4}$

$-\frac{\pi}{2} \leq \theta \leq \frac{\pi}{2}$ . Find the value of $\theta$ in radians. $\sin (\theta)=\frac{1}{2}$
Write your answer in simplified, rationalized form. Do not round. $\theta=$ $\square$

A vector with magnitude 4 points in a direction 295 degrees counterclockwise from the positive $x$ axis. Write the vector in component form. Vector $=$ $\square$ Give each value accurate to at least 1 decimal place Add Work
Submit Question

Determine the real roots of the cubic function $f(x)=x^{3}+3 x^{2}-13 x-15$ . Correctly plot the THREE roots on the coordinate plane.

6. For each equation below, find the value(s) of $x$ that $m$ (Lesson 2-18) a. $10=\frac{1+7 x}{7+x}$ b. $0.2=\frac{6+2 x}{12+x}$ c. $0.8=\frac{x}{0.5+x}$ d. $3.5=\frac{4+2 x}{0.5-x}$

Questions à choix multiples (1) Quel point appartient à l'ensemble-solution de l'inéquation $2 x+5 y<24$ ? a) $A(7,2)$ b) $\mathrm{B}(2,7)$ (c)) $\mathrm{C}(-3,5)$ d) $D(5,3)$

15. What are the solutions for the quadratic function $y=3 x^{2}-8 x+7$ ? $x=\frac{4 \pm i \sqrt{5}}{3}$ $x=\frac{-4 \pm i \sqrt{5}}{3}$ $x=-6 ; x=14$ $x=\frac{8 \pm \sqrt{20}}{6}$

Lee saw c cardinals and 5 robins in his yard. Choose the expression that shows the number of birds Lee saw in all. $c+5$ $c-5$ $\frac{c}{5}$ $5 c$ Suktronit

$\int \frac{e^{1 / t}}{t^{2}} d t$

Find the right number that fits the sequence. $\begin{array}{lllllll}7 & 4 & 10 & 12 & 13 & 36 & ?\end{array}$
49 25 16 15 72 Continue

solution. $\begin{array}{l} x+2 y=-8 \\ y=-\frac{3}{2} x-6 \end{array}$
Click to select points on the graph.

Vrite 5.79 in expanded form. $5.79=\quad \times 1+\square \times \frac{1}{10}+\square \times \frac{1}{100}$

Solve. $\begin{array}{l} y^{3}-8 y^{2}-9 y=0 \\ y=\square \end{array}$ $\square$ (Use a comma to separate answers as needed.)

How many passes are expected to be executed to sort the maximum value using bubble sort algorithm in an array with $\mathrm{n}>1$ where n is the number of elements? 3 1 5 2 4 0

In the equation $\log _{3}(7 x-1)=\log _{3}(5 x+17)$ , what is the value of $x$ a) 7 b) 9 c) 11 d) 13 a b C d

Quadratic Formula
Solve for x . $\begin{array}{c} x^{2}-5 x-24=0 \\ x=[?] \end{array}$
Remember the quadratic formula: $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

e 0.05 in expanded form. $0.05=\square \times 1+\square \times \frac{1}{10}+\square \times \frac{1}{100}$

1. Which of these is an equivalent trigonomerric ratio for $\sin \frac{2 \pi}{5}$ ? a) $\cos \frac{\pi}{10}$ c) $-\cos \frac{9 \pi}{10}$ b) $\sin \frac{3 \pi}{5}$ d) all of these $\alpha=\frac{12}{2}$ and

atic by factoring. $2 x^{2}+9 x-1=2 x-7$