Browse Math problems Studdy Solved!

Problem 49201

Solve these problems. Write the number sentences for activities (1)-(3). (1)
Mrs. Lovejoy bought 8 yards of material. She will use $3 \frac{7}{8}$ yards for Christi's dress. How much material will be left to make herself a dress? (2) The perimeter of the garden is 150 feet. How many yards of fencing is needed to build a fence around the garden? (3) Racer shot the winning basket when he was $4 \frac{2}{3}$ yards from the basket. How many feet was Racer from the basket?
The path around the park is one mile. How many feet is the path? $\qquad$

See Solution

Problem 49202

Solve the quadratic equation by completing the square: $x^{2}+14 x+7=18$ Give the equation after completing the square, but before taking the square root. Your answer should look like: $(x-a)^{2}=b$ The equation is: $\square$ Give all solutions to the equation. The solutions are: $x=$ $\square$ Calculator

See Solution

Problem 49203

Find the solution of the system of equations. $\left\{\begin{array}{l} x-5 y=-20 \\ -4 x-5 y=5 \end{array}\right.$
Show your work here $\begin{array}{l} x= \\ y= \end{array}$

See Solution

Problem 49204

Question 16, 8.2.1 Pait 1 of 3 HW Scores 43.33\%, 12.13 of 28 points Points: 0 of 1 Save
Use the results from a survey of a simple random sample of 1229 adults. Among the 1229 respondents, $71 \%$ rated themselves as above average drivers. We want to test the claim that $\frac{13}{20}$ of adults rate themselves as above average drivers. Complete parts (a) through (c). a. Identify the actual number of respondents who rated themselves as above average drivers. $\square$ (Round to the nearest whole number as needed.) nore help - Clear all Check answer

See Solution

Problem 49205

A metal warehouse, whose dimensions are shown below, needs paint. The front and back of the warehouse each have 2 rollup doors measuring 26 ft by 29 ft each. The side of the warehouse facing the parking lot has an entry door measuring 45 in by 80 in. The other side of the warehouse has no window or door.
Use the given information to answer the questions. Each tab shows a different view of the warehouse. (a) Assuming the roof and doors require no paint, what is the area in square feet that needs paint? (Do not round any intermediate computations and give your answer as a whole number.) (1) $\mathrm{ft}^{2}$ (b) The paint to be used is sold in cans. Each can contains enough paint to cover $520 \mathrm{ft}^{2}$ . Assume there is no paint yet and partial cans cannot be bought. How many cans will need to be bought in order to paint the warehouse? $\square$ cans Front-right view Back-left view (c) What is the total cost of the paint needed for the warehouse if each can costs \$39.50? Check Save For Later Submit Assignmer

See Solution

Problem 49206

The population of a small town in Alabama has shown a linear decline in the years 2000 to 2015. The population in 2000 was 8608 , and in 2015 the population was 7798.
Write a linear equation expressing the population of this town, $P$ , as a function of $t$ , the number of years since 2000. $P(t)=$ $\square$ Be sure to use $t$ as your variable!
If the town is still experiencing the same rate of population decline, what will the population be in 2022? $\square$

See Solution

Problem 49207

8. An airplane must fly over a 120 ft tower. The plane is 400 ft away from the tower when it begins to climb. At what angle should the plane climb to make it over the tower?

See Solution

Problem 49208

A company manufactures video gamos with a current dafoct rate of $0.95 \%$ . To make sure as fow defective video games are delivered as possible, they are all tested before delivery. The test is $98 \%$ accurate at detormining if a video game is defective. If 100,000 products are manufactured and delivered in a month, approximately how many defective products are expected to be delivered?
2,000
50
950 $\square$ 20

See Solution

Problem 49209

$\$ 18,000$ is invested in an account paying 3.1\% interest compounded continuously. The amount $A(t)$ in the account after $t$ years is given by the exponential function $A(t)=18,000 e^{0.031 t}$ .
1. Determine the amount in the account after 8 years. (Round to two decimal places) $\square$
2. How many years will it take for the account to grow to $\$ 24,000$ ? (Round to 3 decimal places) $\square$

See Solution

Problem 49210

The function graphed above Is:
Concave up on the Interval(s) $\square$
Concave down on the interval(s) $\square$
There is an inflection point at: $\square$

See Solution

Problem 49211

The director of health services is concerned about a possible flu outbreak at her college. She surveyed 100 randomiy selected residents from the college's dormitories to see whether they had received a preventative flu shot. The results are shown below. What is the probability that a dormitory resident chosen at random from this group has had a flu shot, given that he is male?
Rosidonts At Collego Dormitorios \begin{tabular}{|c|c|c|c|} \hline & Male & Female & Total \\ \hline Had Flu Shot & 39 & 41 & 80 \\ \hline \begin{tabular}{c} Didn't Have \\ Flue Shot \end{tabular} & 12 & 8 & 20 \\ \hline Total & 51 & 49 & 100 \\ \hline \end{tabular} $\frac{51}{100}$ $\frac{13}{17}$ $\frac{39}{100}$ $\frac{39}{80}$

See Solution

Problem 49212

stion 15 yet wered rked out of 0 Flag estion
Decide whether the function is even, odd, or neither. $g(x)=x^{3}-5 x$
Select one: a. Even b. Odd c. Neither odd nor even
Clear my choice

See Solution

Problem 49213

Find the domain of the following rational function. $H(x)=\frac{-3 x^{2}}{(x-3)(x+3)}$

See Solution

Problem 49214

5) $4 x^{2}-9 y^{2}+80 x+144 y-752=0$ A) Vertices: $(-10,16),(-10,0)$
Foci: $(-10,8+4 \sqrt{13}),(-10,8-4 \sqrt{13})$ B) Vertices: $(2,8),(-22,8)$
Foci: $(-10+4 \sqrt{13}, 8),(-10-4 \sqrt{13}, 8)$ C) Vertices: $(20,10),(-4,10)$
Foci: $(8+4 \sqrt{13}, 10),(8-4 \sqrt{13}, 10)$ D) Vertices: $(8,18),(8,2)$
Foci: $(8,10+4 \sqrt{13}),(8,10-4 \sqrt{13})$

See Solution

Problem 49215

What is the median of the data shown in the boxplot? * 1 point 12 14 16 19

See Solution

Problem 49216

Use properties of logarithms to condense the logarithmic expression. logarithmic expressions. $\begin{array}{l} \ln x+\ln 17 \\ \ln x+\ln 17= \end{array}$ $\square$

See Solution

Problem 49217

12
Find the solution of the system of equations. $\left\{\begin{array}{l} 5 x+2 y=4 \\ 2 x-2 y=10 \end{array}\right.$
Show your work here $\begin{array}{l} x= \\ y= \end{array}$

See Solution

Problem 49218

\text{In each case, state the correlation clearly. (For example, you might state "There is a positive correlation between variable A and variable B.") Then state whether the correlation is most likely due to coincidence, a common underlying cause, or a direct cause. Explain your answer.} \\ \text{Gas and Driving: It has been found that when gas prices increase, the distances that vehicles are driven tend to get shorter.} \\

See Solution

Problem 49219

Solve the equation: $\log _{6}(x)+\log _{6}(x+16)=2$ The solution(s) is (are) $x=$ $\square$
Calculator

See Solution

Problem 49220

Use properties of logarithms to condense the logarithmic expression. expressions if possible. $\begin{array}{l} 2 \ln (x+9)-3 \ln x \\ 2 \ln (x+9)-3 \ln x= \end{array}$ $\square$

See Solution

Problem 49221

(a) Graph $f(x)=x^{2}-4 ; x \leq 0$ .

See Solution

Problem 49222

Bookwork code: 2C Calculator not allowed
Write an equation to represent the function machine below.
Input Output $x \rightarrow \times 6+4 \rightarrow 7$

See Solution

Problem 49223

9. Find $g^{\prime}(x)$ if $g(x)=\int_{4 x}^{x^{2}} 6+\cos t d t$

See Solution

Problem 49224

Alexandra thinks of a number, $t$ . She multiplies it by 4 , then she subtracts 7 and gets an answer of 18 . Write an equation to describe this.

See Solution

Problem 49225

Use your calculator to find the real zero(s) and the relative minimum of the function $f(x)=3 x^{3}-3 x^{2}-6 x-4$
The real zero(s) is (are) $\square$ Round to 4 decimal places The relative minimum is $\square$ Round to 4 decimal places
Calculator

See Solution

Problem 49226

opening of each. 8) $x=y^{2}+12 y+30$ A) Vertex: $(5,5)$
Focus: $\left(5, \frac{19}{4}\right)$ Axis of Sym.: $x=5$ Opens: Down B) Vertex: $(-6,-6)$
Focus: $\left(-\frac{23}{4},-6\right)$ Axis of Sym: $y=-6$ Opens: Right C) Vertex: $(-6,-6)$
Focus: $\left(-6,-\frac{23}{4}\right)$ Axis of Sym: $:=-6$ Opens: Up D) Verte: $(-6,-6)$
Focus: $\left(-6,-\frac{25}{4}\right)$ Axis of Sym: $x=-6$ Opens: Down

See Solution

Problem 49227

(18) Solve for $x: a+b(x-c)=0$ (A) $\frac{a+b c}{b}$ (B) $\frac{b c-a}{b}$ (C) $c-a$ (19) Solve for $x: x^{2}-x+3=0$ (A) $x=$ (C) $x=-\frac{3}{2}, x=\frac{5}{2}$ (D) $x=3, x=-$ (20) Solve for $x: 2 x^{2}-9 x+3=0$ (C) $x=1, x=3$ (A) $x=$ (D) $x=4, x=9$ (21) Solve the inequality: $-3 a+7>19$ (A) $a<-4$ (B) $a<12$ (C) $a>-4$ 2) Find the interval solution for $x$ : (A) $(-2,+2]$ (B) $\left[-\frac{9}{4}, 2\right)$ $-6<4 x+3$ (C) $(-6$

See Solution

Problem 49228

Solve the following exponential equation. Express the solution set in terms of natural logarithms or common logarithms. Then, use a calculator to obtain a decimal approximation for the solution. $11^{x}=67$
The solution set expressed in terms of logarithms is $\square$ \}. (Use a comma to separate answers as needed. Simplify your answer. Use integers or fractions for any numbers in the expression. Use In for natural logarithm and log for common logarithm.)

See Solution

Problem 49229

42 10) 45 2 54 5.4 20

See Solution

Problem 49230

1. [-/1 Points]
DETAILS MY NOTES
TANAPCALC10 8.3.003. ASK YOUR TEACHER PRACTICE AN
Find the critical point of the function. Then use the second derivative test to classify the nature of this point, if possible. (If an answer does not exist, enter DNE.) $f(x, y)=x^{2}-y^{2}-8 x+2 y+4$ critical point $(x, y)=$ $\square$ classification $\square$ Finally, determine the relative extrema of the function. (If an answer does not exist, enter DNE.) relative minimum value $\square$ relative maximum value $\square$ Need Help? Read It Watch it Submit Answer

See Solution

Problem 49231

(19) Solve for $x: x^{2}-x+3=0$ (C) $x=-\frac{3}{2}, x=\frac{5}{2}$ (D) $x=$

See Solution

Problem 49232

Figure $A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ is a dilation of Figure $A B C D$ about Point $E$ with a scale factor of 1.25 . Li says the figures are neither similar nor congruent. Is Li correct? Use the drop-down menus to explain your answer.
Click the arrows to choose an answer from each menu. LI choose.. $\square$ correct.
Edch side length of $A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ is Choose.. $\square$ the corresponding slde length of $A B C D$ . Each angle measure of $A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ is choose... $\square$ the corresponding angle measure of $A B C D$ . Therefore, $A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ and $A B C D$ are choose...

See Solution

Problem 49233

https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=35611257\&tags=autosave\#question4525502_0
Your best submission for each question part is used for your score.
2. [-/1 Points]
DETAILS MY NOTES TANAPCALC10 8.3.005.MI. ASK YOUR TEACHER PRACTICE AI
Find the critical point of the function. Then use the second derivative test to classify the nature of this point, if possible. (If an answer does not exist, enter DNE.) $\begin{array}{r} f(x, y)=x^{2}+2 x y+2 y^{2}-6 x+10 y+4 \\ (x, y)=(\square) \quad-\text {-Select-- v } \end{array}$
Finally, determine the relative extrema of the function. (If an answer does not exist, enter DNE.) relative minimum value $\square$ relative maximum value $\square$ Need Help? Read It Master It Submit Answer

See Solution

Problem 49234

expand $g(x)=(x-3)^{4}$

See Solution

Problem 49235

2. Explain how the diagram demonstrates the Pythagorean Theorem.

See Solution

Problem 49236

10) $\frac{(x-6)^{2}}{49}-\frac{(y-9)^{2}}{121}=1$ A) Vertices: $(17,9),(-5,9)$
Foci: $(6+\sqrt{170}, 9),(6-\sqrt{170}, 9)$ Opens leftright B) Vertices: $(-9,17),(-9,-5)$
Foci: $(-9,6+\sqrt{170}),(-9,6-\sqrt{170})$ Opens upldown C) Vertices: $(13,9),(-1,9)$
Foci: $(6+\sqrt{170}, 9),(6-\sqrt{170}, 9)$ Opens leftright D) Vertices: $(6,16),(6,2)$
Foci: $(6,9+\sqrt{170}),(6,9-\sqrt{170})$

See Solution

Problem 49237

Polynomials and Factoring Factoring out a monomial from a polynomlal: Univariate
Factor $16 w+20 w^{2}$ . $\square$

See Solution

Problem 49238

1. Complete the following curve of the even function $f$ defined on $I R$

See Solution

Problem 49239

Solve the following polynomial using synthetic division. $\begin{array}{l} x^{3}+8 x^{2}+11 x-20=0 \\ x=\square \\ x=\square \\ x=\square \end{array}$

See Solution

Problem 49240

A good radiograph is taken with 20 mAs using tabletop with an $\mathrm{EI}=200$ . Find the EI value using 40 mAs and 10:1 grid.

See Solution

Problem 49241

Soit $f$ la fonction numérique définie sur $[0 ;+\infty[$ par : $f(x)=x-2 \sqrt{x}+2$ Et soit $\left(C_{f}\right)$ sa courbe représentative dans un repère orthonormé ( $O ; \vec{i} ; \vec{j})$ 1)a-Vérifier que pour tout $x \in] 0 ;+\infty[$ : $f(x)=x\left(1-\frac{2}{\sqrt{x}}+\frac{2}{x}\right)$ b-Calculer les limites suivantes : $\lim _{x \rightarrow+\infty} f(x) ; \lim _{x \rightarrow+\infty} \frac{f(x)}{x} \text { et } \lim _{x \rightarrow+\infty} f(x)-x$ c-Interpréter les résultats obtenus graphiquement. 2)Calculer: $\lim _{x \rightarrow 0^{+}} \frac{f(x)-f(0)}{x}$
Et interpréter le résultat graphiquement. 3)a-Montrer que pour tout $x \in] 0 ;+\infty[$ : $f^{\prime}(x)=\frac{x-1}{\sqrt{x}(\sqrt{x}+1)}$ b-Dresser le tableau de variations de la fonction $f$ . $c$ -Déterminer les extremums de $f$ . d-En déduire que : $\left(\forall x \in \mathbb{R}^{+}\right): f(x)>0$ 4)Donner l'équation de la tangente ( $T$ ) à la courbe $\left(C_{f}\right)$ Au point d'abscisse 4. 5) On considère la droite ( $\Delta$ ) d'équation $y=x$ .
Déterminer la position relative de la courbe $\left(C_{f}\right)$ par Rapport à la droite ( $\Delta$ ) sur $\mathbb{R}^{+}$ . 6) Tracer la courbe $\left(C_{f}\right)$ dans le repère $(O ; \vec{i} ; \vec{\jmath})$ . 7) Soit $g$ la restriction de la fonction $f$ sur $I=[\mathbf{1} ;+\infty[$ . a-Montrer que $g$ admet une fonction réciproque $g^{-1}$ définie sur un intervalle $J$ à déterminer. b-Dresser le tableau de variations de la fonction $g^{-1}$ . c-Calculer $g(9)$ puis déterminer $\left(g^{-1}\right)^{\prime}(5)$ .

See Solution

Problem 49242

Which graph represents a proportional relationship?
A
B
C
D

See Solution

Problem 49243

Mr. Floyd is checking whether the students in his study period are on track to pass their math and English classes. He makes a two-way table to help determine how many students need targeted support in either subject or both subjects. \begin{tabular}{|l|l|l|} \hline & Passing English & Failing English \\ \hline Passing Math & 8 & 3 \\ \hline Failing Math & 6 & 5 \\ \hline \end{tabular}
Which of the following statements is true? (1 point) More than half the students in Mr. Floyd's class are on track to pass both math and

See Solution

Problem 49244

```latex A health organization would like to determine if there is a difference in COVID mean recovery times between individuals who are 30 years old or younger and individuals who are older than 30 years old. The organization randomly selects 45 individuals who are 30 years old or younger who recovered from COVID and 50 individuals who are older than 30 years old who recovered from COVID-19. The table below summarizes the sample results for each group:
\begin{tabular}{|l|l|l|l|} \hline & Sample Size & Mean & Standard Deviation \\ \hline 30 years old or younger & 45 & 13 \text{ days} & 15 \text{ days} \\ \hline Older than 30 years Old & 50 & 3 \text{ days} & 2 \text{ and } 3 \text{ days} \\ \hline \end{tabular}
Test the claim that there is a difference in COVID mean recovery times between individuals who are 30 years old or younger and individuals who are older than 30 years old at a 5\% significance level.
D. State the null and alternative hypothesis.
E. State the P-value.
F. State your conclusion.

See Solution

Problem 49245

Zain draws a circle with radius $r$ and center $(h, k)$ in the coordinate plane. He places the point $(x, y)$ on the circle. How can Zain use his drawing to derive the general equation of a circle in standard form? Use the drop-down menus to explain your answer.
Click the arrows to choose an answer from each menu. Using any center point $(h, k)$ and any point on the circle $(x, y)$ , zain can draw a right triangle that has a hypotenuse of length $r$ land legs of lengths Choose... * Then, Zain can derive the general equation of a circle in standard form by applying the Choose...

See Solution

Problem 49246

Use the definition of a one-to-one function to determine if the function is one-to-one. $k(x)=x^{3}-16$ The function is one-to-one. The function is not one-to-one.

See Solution

Problem 49247

$\sin \left(30^{\circ}\right)=\frac{1}{2}, \tan \left(30^{\circ}\right)=\frac{\sqrt{3}}{3}$ (a) $\csc \left(30^{\circ}\right)$ $\square$ (b) $\cot \left(60^{\circ}\right)$ $\square$ (c) $\cos \left(30^{\circ}\right)$ $\square$ (d) $\cot \left(30^{\circ}\right)$ $\square$ Need Help? Read It Watch It Submit Answer

See Solution

Problem 49248

$=24$ 12) Vertices: $(6,14),(6,-10)$ 2.
Foci: $(6,15),(6,-11)$ A) $\frac{(y-2)^{2}}{144}-\frac{(x-6)^{2}}{25}=1$ B) $\frac{(y-2)^{2}}{144}-\frac{(x+6)^{2}}{25}=1$ $4=25$ c) $\frac{(y+2)^{2}}{25}-\frac{(x-6)^{2}}{144}=1$ D) $\frac{(y-2)^{2}}{25}-\frac{(x-6)^{2}}{144}=1$

See Solution

Problem 49249

$3-4$ . State the answer as an ordered pair $(x, y)$ , if possible.
3. Solve $\left\{\begin{array}{c}y=4 x-1 \\ y=-\frac{1}{2} x+8\end{array}\right.$ by graphing.

See Solution

Problem 49250

Use the properties of logarithms to rewrite the expression $\log _{5}\left(x^{9}\right)$ . Write your answer without any powers. $\log _{5}\left(x^{9}\right)=$
Enter your next step here $\square$

See Solution

Problem 49251

Solve the following quadratic equation for all values of $x$ in simplest form. $6+3 x^{2}=18$
Answer Attempt 1 out of 2 † Additional Solution No Solution $x=$ $\square$ Submit Answer

See Solution

Problem 49252

38) A cyclist bikes at a constant speed for 17 miles. He then returns home at the same speed but takes a different route. His return trip takes one hour longer and is 22 miles. Find his speed.

See Solution

Problem 49253

5. Prove the following trigonometric identity. (4 marks) $\begin{array}{c} \frac{\cos 2 x \sec x}{1-\tan ^{2} x}=\cos x \\ \cos ^{2} \theta-\sin ^{2} \theta\left(\frac{1}{\cos x}\right) \end{array}$

See Solution

Problem 49254

Problème 3. Soit $f(x)=\sqrt{3 x+1}$ . (a) Trouver la dérivée de $f(x)$ à l'aide de la définition de la dérivée par une limite. Aucun point ne sera attribué pour une réponse utilisant les règles de dérivation. (b) Trouver le(s) point(s) de la courbe $y=\sqrt{3 x+1}$ où la tangente est parallèle à la droite d'équation $3 x-8 y=5$ .

See Solution

Problem 49255

After doing laundry, Gharam didn't pair her socks together before putting them in her drawer. Gharam has 76 socks: 20 black socks, 26 white socks, and 30 socks with fun designs. Today she pulled out a black sock and is searching for another. What is the probability of her finding another black sock if she reaches into the depths of her drawer and randomly pulls out another sock?

See Solution

Problem 49256

4. In the following triangle, what is NOT a possible value of $x$ ? A) 1 B) 3 C) 4 D) 6

See Solution

Problem 49257

THIW - Ch 5 Linear Google Slides Equations from a Table of Value what is the slope of $y=m x+b$ - itybuilder/instance/674efbba6950e871bcac89db/student/674f475712e503d27285c524\#screenld=26479922-20fd-4c48-86a9-348b257edc3a
Iues and Graph \begin{tabular}{|l|l|l|l|} \hline & 1 & TT & $\sqrt{ \pm}$ \\ \hline \end{tabular} n
Write the equation of a line in slope intercept form GIVEN A GRAPH. Enter all three into the answer box.
Find the slope by: Change in $y$ Slope: $\qquad$ Y-intercept: $\qquad$ Change in $x$
Equation: $\qquad$ Search ENG US

See Solution

Problem 49258

3. $f(x)=\frac{1}{\sqrt{1-x^{2}}}$

See Solution

Problem 49259

Find a formula for the inverse of the function. $\begin{array}{l} f(x)=\sqrt{x^{2}+2 x}, x>0 . \\ f^{-1}(x)= \end{array}$

See Solution

Problem 49260

10. Calculate the value of the following series: $\sum_{k=2}^{\infty} \frac{1}{(3 k+1)(3 k+4)}$

See Solution

Problem 49261

What is the leading coefficient? $2 x^{6}-3 x^{5}+15 x^{4}$
15 1 Answer $\triangle 15$ 20
6 2 Dowe G kahoot.it Game PIN: 7617209

See Solution

Problem 49262

7. Simplify the following: $3 \sin (2 x) \cos (2 x)$ a. $1.5 \sin (2 x)$ b. $6 \sin (4 x)$ c. $1.5 \sin (4 x)$

See Solution

Problem 49263

n 10 of 16 Side-by-Side
A research firm supplies manufacturers with estimates of the sales of their products from samples of stores. Marketing managers often look at the sales estimates and ignore sampling error. An SRS of 50 stores this month shows mean sales of 41 units of a particular appliance with standard deviation of 11 units. During the same month last year, an SRS of 52 stores gave mean sales of 38 units of the same appliance with a standard deviation of 13 units. An increase from 38 to 41 is a rise of $7.9 \%$ . The marketing manager is happy because sales are up $7.9 \%$ . (a) Give a $95 \%$ confidence interval for the difference in mean number of units of the appliance sold at all retail stores. Give your answers to three decimal places. lower bound: $\square$ upper bound: $\square$

See Solution

Problem 49264

- Des que le revenu est d'au moins 20000 \ $, on doit payer un minimum de$ 25 \% $d'impôt. - Le taux d'imposition augmente de$ 5 \% $pour chaque tranche de$ 15000 \$$ de salaire supplémentaire. - Le taux d'imposition maximal est de $45 \%$. a) Représentez cette situation dans le plan cartésien ci-contre. b) Déterminez la règle qui permet de calculer le taux d'imposition pour un salaire variant de 20000 \$ à 80000 \$. onse:

See Solution

Problem 49265

1. Solve each equation. Use a double number line if it is helpful. a. $-3 x-5=20$ $-25 / 3$ b. $\frac{4}{5} x+2=14$
15 $\{3(x-4+13)=36$

See Solution

Problem 49266

Solve for $h$ . $h+3>9$

See Solution

Problem 49267

Name: Ayda Avila 0.
Writing Systems of Equations Mixed Practice
1. Write a system of equations to represent the following graph. A. $4 x+9 y=36$ C. $4 x+9 y=36$ $y=3 x-2$ $6 x-2 y=-4$ B. $9 x+4 y=36$ D. $y=3 x-2$ $y=-3 x-2$ $y=-\frac{9}{4} x+4$

See Solution

Problem 49268

Question 6
Reputable scientists know that the average surface temperature of the world has been rising steadily. One model found using sets of temperature data is: $T=0.02 t+15.0$
Where T is temperature in ${ }^{\circ} C$ and t is years since 1950. (a) Describe what the slope and T-intercept represent. (b) Use the equation to predict the average globle surface temperature in 2050. $\square$ ${ }^{\circ} \mathrm{C}$
Question Help: Message instructor Post to forum Submit Question

See Solution

Problem 49269

The base ticket price for a football game is modeled by the function $p(x)=15 x+10$ , where $x$ is the years since the team started playing football. Not included in each base ticket price is a service charge modeled by the function $c(x)=5 x+2$ . To find the total cost of a ticket, a fan should use what operation on the polynomials? Addition Subtraction Multiplication It cannot be determined

See Solution

Problem 49270

7 Si $f(x)=x^{2}$ , ¿qué función es el resultado de desplazar $f(x) 3$ unidades hacia la izquierda y 2 unidades hacia abajo? (1) $g(x)=(x+2)^{2}-3$ (3) $j(x)=(x+3)^{2}-2$ (2) $h(x)=(x-2)^{2}+3$ (4) $k(x)=(x-3)^{2}+2$
8 La ecuación utilizada para calcular la velocidad de un objeto es la siguiente: $v^{2}=u^{2}+2 a s$ , donde $u$ es la velocidad inicial, $v$ es la velocidad final, $a$ es la aceleración del objeto y $s$ es la distancia recorrida. Cuando se resuelve esta ecuación para $a$ , el resultado es (1) $a=\frac{v^{2} u^{2}}{2 s}$ (3) $a=v^{2}-u^{2}-2 s$ (2) $a=\frac{v^{2}-u^{2}}{2 s}$ (4) $a=2 s\left(v^{2}-u^{2}\right)$
9 La clase de Matemáticas de la Sra. Smith hizo una encuestó a los estudiantes para determinar sus sabores favoritos de helado. Los resultados se muestran en la siguiente tabla. \begin{tabular}{|c|c|c|c|} \cline { 2 - 4 } \multicolumn{1}{c|}{} & Chocolate & Vainilla & Combinado \\ \hline 11. $^{\circ}$ grado & 42 & 27 & 45 \\ \hline 12. $^{\circ}$ grado & 67 & 42 & 21 \\ \hline \end{tabular}
De los estudiantes que prefieren chocolate, Aproximadamente, ¿qué porcentaje era de $12 .^{\circ}$ grado? (1) 27.5 (3) 51.5 (2) 44.7 (4) 61.5

See Solution

Problem 49271

given below were taken from bout the preferred payment Cash or Credit card). The ow indicates the numbers of the study according to their nd preferred payment \begin{tabular}{ccc} \hline & Cash & Credit Card \\ \hline & 165 & 240 \\ n & 208 & 387 \\ \hline \end{tabular} an is selected at random, e probability that she prefers card payment method?
6504 3496 .5926 .0000 .5576 6172 3828 .4074 .4424 .0000

See Solution

Problem 49272

16. $\sqrt[3]{x-12}=3$
17. $\sqrt[4]{5 x+6}-9=0$
18. $\sqrt{1-3 x}-6=4$
19. $3 x^{\frac{2}{3}}=75$

See Solution

Problem 49273

2. Write each fraction as a decimal. $\frac{1}{4}=\quad \frac{1}{5}=$

See Solution

Problem 49274

```latex The pancreas secretes insulin into the blood to cause body cells to take up glucose. Use the graphic below to understand how this feedback loop works.
1. The image shows two different types of stimuli (1 and 2), but doesn't explain what the stimuli is that causes blood sugar to increase or decrease. Based on clues in the graphic, what are the two stimuli? $\square$ ```

See Solution

Problem 49275

Mathematics 30-2
14. Write $\log _{5} a+\log _{5} b-\left(\log _{5} c+\log _{5} d\right)$ as a single logarithm. A) $\log _{5} \frac{a}{b c d}$ B) $\log _{5} \frac{a b}{c d}$ C) $\log _{5} \frac{a b c}{d}$ D) $\log _{5} a b c d$

See Solution

Problem 49276

There are 15 students in a class. Five are girls. Write the fraction of the class that is girls in lowest terms.

See Solution

Problem 49277

Factor completely $4 x^{5}-20 x^{4}-36 x^{3}$ . $4\left(x^{5}-5 x^{4}-9 x^{3}\right)$ $x^{3}\left(4 x^{2}-20 x-36\right)$ $x^{2}-5 x-9$ $4 x^{3}\left(x^{2}-5 x-9\right)$

See Solution

Problem 49278

ACT Problem
9. In the figure below, line $/$ is parallel to line $m$ . Transversals $t$ and $u$ intersect at point $A$ on $I$ and intersect $m$ at points $C$ and $B$ , respectively. Point $X$ is on $m$ , the measure of $\angle A C X$ is $130^{\circ}$ , and the measure of $\angle B A C$ is $80^{\circ}$ . How many of the angles formed by rays of $I, m, t$ , and $u$ have the measure of $50^{\circ}$ ? A. 4 B. 6 C. 8 D. 10 E. 12

See Solution

Problem 49279

A poll of 1019 Americans showed that $46.5 \%$ of the respondents prefer to watch the news rather than read or listen to Use those results with a 0.05 significance level to test the claim that fewer than half of Americans prefer to watch the news rather than read or listen to it. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution.
Let $p$ denote the population proportion of all Americans who prefer to watch the news rather than read or listen to it. Identify the null and alternative hypotheses. $\begin{array}{l} \mathrm{H}_{0}: \mathrm{p} \square \\ \mathrm{H}_{1} \mathrm{p} \end{array}$ (Type integers or decimals. Do not round.)

See Solution

Problem 49280

Find $\lim _{x \rightarrow 2^{-}} \sin ^{-1}\left(\frac{x}{2}\right)$ $\lim _{x \rightarrow 2^{-}} \sin ^{-1}\left(\frac{x}{2}\right)=\square$ (Type an exact answer, using $\pi$ as needed.)

See Solution

Problem 49281

n, using a calculator if necessary to evaluate the logarithm. Write your answer as a fraction or ro $\ln \left(\mathrm{e}^{\mathrm{x}}\right)=15.1$ w window) $x=$ $\square$

See Solution

Problem 49282

2. Beth poured $\frac{3}{4}$ cup of cereal in a bowl. Then Beth took $\frac{1}{2}$ of that cereal and put it into another bowl. How many cups of cereal are in the second bowl?

See Solution

Problem 49283

```latex Voici un exemple de démarche possible, 7 A partir de la longueur d'un segment, du paramètre b. $4=\frac{1}{|b|} \cdot d_{\text {onc }}|b|=\frac{1}{4}=0,25$ $2=|a|$
A partir de la distance entre consécutifs, soit 2, absolue du paramètre a.
Puisque chaque segment est de la forme Observez la représentation graphique de chaque segment pour déterminer le signe du paramètre b. , $b>0$ , donc $b=0,25$ .
La fonction est croissante, donc a et b sont même signe. Comme $b>0$ , alors $a>0$ , donc $a$ $1(4,2)$ Analysez la variation (croissance ou décroissance) de la fonction afin de déterminer le signe du paramètre a.
Choisissez un point fermé afin de déterminer les valeurs possibles d'un couple ( $h, k$ ). terminez une règle possible pour la tion représentée de la forme : $a[b(x-h)]+k . \quad \mid f(x)=2[0,25(x-4)]+2$ ez chaque fonction ci-dessous. $50\left[\frac{1}{1000}(x+500)\right]$
exemple ```

See Solution

Problem 49284

Warm Up Solve the following radical equation for $x$ . $8 \sqrt{2 x+3}-10=30$

See Solution

Problem 49285

10. $f(x)=\frac{2}{x+1}, g(x)=\frac{x}{x+1}$
Find the domain of the function.

See Solution

Problem 49286

5 Résolvez les équations suivantes. a) $-5 x^{2}+160 x-1200=0$

See Solution

Problem 49287

Sections $4.7+4.8$
Show all work! (1) Find the exact value of each expression. state if undefined. a) $\arccos \left(\frac{1}{2}\right)$ b) $\arcsin (4)$ c) $\sin \left(\arcsin \left(-\frac{1}{2}\right)\right)$ d) $\tan \left(\arccos \left(\frac{3}{7}\right)\right) \quad \begin{array}{l}\text { sketcl this on the } \\ \text { coordinate plane. }\end{array}$ (2) Solve the problem. Use exact values (leave in terms of a trig function. Aski slope is 52 ft long and the angle A ski slope is from the ground to the summit is $42^{\circ}$ . How high is the summit? (Draw your best ski slope and mountain) "̈

See Solution

Problem 49288

Find the derivative of the function $f(x) = (9x^6 + 9x)^{15}$ .

See Solution

Problem 49289

Consider the quadratic function $y=1.7 x^{2}-9.1 x+2.3$ The graph of this function is a Select an answer Question Help: Message in:
Select an answer straight line that slopes downward Submit Part Jump to Ans parabola that opens downward straight line that slopes upward parabola that opens upward

See Solution

Problem 49290

- Ch 5 Linear Google Slides Equations from a Table of Value Ider/instance/674efbba6950e871bcac89db/student/674f475712e503d27285c524\#screenld=01649728-103f-45a5-8ca4-0960cd2619db and Graph n
Write the equation of a line in slope intercept form GIVEN A GRAPH. Enter all three into the answer box. Slope: $\qquad$ Y-intercept: $\qquad$ Equation: $\qquad$ 2 5
4 13 $\square$ 4 $\square$ $\sqrt{ \pm}$ Submit 33 12 45 Search ENG US

See Solution

Problem 49291

Expand the function $f(x) = \frac{1}{1-x^4}$ in a power series with the center $c=0$ and determine the interval of convergence.

See Solution

Problem 49292

Part 1 of 4
Consider the quadratic function $y=1.7 x^{2}-9.1 x+2.3$ The graph of this function is a parabola that opens upward $\checkmark^{\checkmark} \sigma^{\Delta}$ $\square$ Part 2 of 4
The vertex of this graph is its lowest $\square$ $\checkmark$ os point, so this function has a $\square$ minimum $\checkmark$ of value. Part 3 of 4
State the vertex $(x, y)$ of this parabola. If necessary, round each value to three decimal places. $\square$ , $\square$ )

See Solution

Problem 49293

Use the time/tip data from the table below, which includes data from New York City taxi rides. (The distances are in miles, the times are in minutes, the fares are in dollars, and the tips are in dollars.) Find the regression equation, letting time be the predictor ( x ) variable. Find the best predicted tip for a ride that takes 22 minutes. How does the result compare to the actual tip amount of $\$ 5.05$ ? Use a significance level of 0.05 . \begin{tabular}{l|cccccccc} Distance & 1.02 & 0.68 & 1.32 & 2.47 & 1.40 & 1.80 & 8.51 & 1.65 \\ \hline Time & 8.00 & 6.00 & 8.00 & 18.00 & 18.00 & 25.00 & 31.00 & 11.00 \\ \hline Fare & 7.80 & 6.30 & 7.80 & 14.30 & 12.30 & 16.30 & 31.75 & 9.80 \\ \hline Tip & 2.34 & 1.89 & 0.00 & 4.29 & 2.46 & 1.50 & 2.98 & 1.96 \end{tabular}
The regression equation is $\hat{y}=$ $\square$ $+$ $\square$ $x$ . (Round the $y$ -intercept to two decimal places as needed. Round the slope to four decimal places as needed.)

See Solution

Problem 49294

onsider the quadratic function $y=1.7 x^{2}-9.1 x+2.3$ The graph of this function is a parabola that opens upward $\checkmark^{\checkmark} 0^{s}$ $\square$ 0
The vertex of this graph is its lowest $\checkmark \checkmark$ point, so this function has a minimum $0^{8}$ value. $\square$ Part 2 of 4 $\qquad$ State the vertex $(x, y)$ of this parabola. If necessary, round each value to three decimal places. $\begin{array}{l} 2.676 \\ 0^{s} \\ \text { - }) \end{array}$ $-9.878$ Part 4 of 4
Fill in the blanks to interpret the vertex. If necessary, round each value to three decimal places. The minimum value of this function is $\square$ , which occurs at an $x$ value of $\square$ .

See Solution

Problem 49295

/activitybuilder/instance/674efbba6950e871bcac89db/student/674f475712e503d27285c524\#screenld=b41ae290-cc56-429e-810e-07bd955554a2 f Values and Graph ${ }^{\pi}$ n
Write the equation of a line in slope intercept form GIVEN A GRAPH. Enter all three into the answer box.
Slope: $\qquad$ Y-intercept: $\qquad$ Equation: $\qquad$ $\square$ Submit

See Solution

Problem 49296

9 Multiple Choice 6 points
Assume $\$ 20,000$ is deposited into a savings account. Boulder Bank offers an annual rate of $0.84 \%$ for 5 years. Stone Bank offers a rate of $3.7 \%$ interest for 1 year. Which earns more interest? Boulder Bank Stone Bank 10 Fill in the Blank 6 points
A couple is planning a savings account for a newborn baby. They start with $\$ 10,700$ they received as cash gifts. If no deposits or withdrawals are made, what is the balance of the account if it earns $0.98 \%$ interest for 18 years? type your answer... 11 Fill in the Blank 6 points
Ron estimates it will cost him $\$ 600,000$ to send his daughter to a private college in 18 years. He currently has $\$ 130,000$ to deposit in an account. What simple interest rate must his account have to reach a balance of $\$ 600,000$ in 18 years? Round to the nearest percent. type your answer... Submit

See Solution

Problem 49297

Are the systems of equations equivalent? Explain. $\begin{array}{rlrl} 2 x+4 y & =3 & 6 x+12 y & =9 \\ 6 x+3 y & =17 & 6 x+3 y & =17 \end{array}$
The first equation in the second system $\square$ in the first system, and the second equation in the second system $\square$ in the first system. Thus, the systems $\square$ equivalent.

See Solution

Problem 49298

Find the regression equation, letting the first variable be the predictor ( x ) variable. Using the listed actress/actor ages in various years, find the best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 44 years. Is the result within 5 years of the actual Best Actor winner, whose age was 45 years? Use a significance level of 0.05 . \begin{tabular}{cllllllllllll} \hline Best Actress & 27 & 32 & 28 & 58 & 30 & 34 & 47 & 30 & 62 & 22 & 44 & 56 \\ Best Actor & 44 & 37 & 37 & 47 & 48 & 46 & 62 & 49 & 37 & 55 & 45 & 33 \\ \hline \end{tabular}
Find the equation of the regression line. $\hat{\mathrm{y}}=\square+(\square) \mathrm{x}$ (Round the $y$ -intercept to one decimal place as needed. Round the slope to three decimal places as needed.)

See Solution

Problem 49299

Find all excluded values for the expression. That is, find all values of $w$ for which the expression is undefined. $\frac{w+6}{w+7}$
If there is more than one value, separate them with commas. $w=$ $\square$

See Solution

Problem 49300

This is a multi-part problem. If $F(t)=\frac{t^{3}}{3}+4 t^{2}-t$ , find $F^{\prime}(t)$ . $F^{\prime}\left(\frac{x^{\prime}}{\prime}\right)=$ $\square$ Preview My Answers Submit Answers Show me another

See Solution

Math

Problem 49201

Problem 49202

Problem 49203

Find the solution of the system of equations. {x−5y=−20−4x−5y=5\left\{\begin{array}{l} x-5 y=-20 \\ -4 x-5 y=5 \end{array}\right.{x−5y=−20−4x−5y=5​Show your work here x=y=\begin{array}{l} x= \\ y= \end{array}x=y=​

Problem 49204

Problem 49205

Problem 49206

Problem 49207

8. An airplane must fly over a 120 ft tower. The plane is 400 ft away from the tower when it begins to climb. At what angle should the plane climb to make it over the tower?

Problem 49208

Problem 49209

Problem 49210

The function graphed above Is:Concave up on the Interval(s) □\square□Concave down on the interval(s) □\square□There is an inflection point at: □\square□

Problem 49211

Problem 49212

stion 15 yet wered rked out of 0 Flag estionDecide whether the function is even, odd, or neither. g(x)=x3−5xg(x)=x^{3}-5 xg(x)=x3−5xSelect one: a. Even b. Odd c. Neither odd nor evenClear my choice

Problem 49213

Find the domain of the following rational function. H(x)=−3x2(x−3)(x+3)H(x)=\frac{-3 x^{2}}{(x-3)(x+3)}H(x)=(x−3)(x+3)−3x2​

Problem 49214

Problem 49215

What is the median of the data shown in the boxplot? * 1 point 12 14 16 19

Problem 49216

Use properties of logarithms to condense the logarithmic expression. logarithmic expressions. ln⁡x+ln⁡17ln⁡x+ln⁡17=\begin{array}{l} \ln x+\ln 17 \\ \ln x+\ln 17= \end{array}lnx+ln17lnx+ln17=​ □\square□

Problem 49217

12Find the solution of the system of equations. {5x+2y=42x−2y=10\left\{\begin{array}{l} 5 x+2 y=4 \\ 2 x-2 y=10 \end{array}\right.{5x+2y=42x−2y=10​Show your work here x=y=\begin{array}{l} x= \\ y= \end{array}x=y=​

Problem 49218

Problem 49219

Solve the equation: log⁡6(x)+log⁡6(x+16)=2\log _{6}(x)+\log _{6}(x+16)=2log6​(x)+log6​(x+16)=2 The solution(s) is (are) x=x=x= □\square□Calculator

Problem 49220

Use properties of logarithms to condense the logarithmic expression. expressions if possible. 2ln⁡(x+9)−3ln⁡x2ln⁡(x+9)−3ln⁡x=\begin{array}{l} 2 \ln (x+9)-3 \ln x \\ 2 \ln (x+9)-3 \ln x= \end{array}2ln(x+9)−3lnx2ln(x+9)−3lnx=​ □\square□

Problem 49221

(a) Graph f(x)=x2−4;x≤0f(x)=x^{2}-4 ; x \leq 0f(x)=x2−4;x≤0.

Problem 49222

Bookwork code: 2C Calculator not allowedWrite an equation to represent the function machine below.Input Output x→×6+4→7x \rightarrow \times 6+4 \rightarrow 7x→×6+4→7

Problem 49223

9. Find g′(x)g^{\prime}(x)g′(x) if g(x)=∫4xx26+cos⁡tdtg(x)=\int_{4 x}^{x^{2}} 6+\cos t d tg(x)=∫4xx2​6+costdt

Problem 49224

Alexandra thinks of a number, ttt. She multiplies it by 4 , then she subtracts 7 and gets an answer of 18 . Write an equation to describe this.

Problem 49225

Use your calculator to find the real zero(s) and the relative minimum of the function f(x)=3x3−3x2−6x−4f(x)=3 x^{3}-3 x^{2}-6 x-4f(x)=3x3−3x2−6x−4The real zero(s) is (are) □\square□ Round to 4 decimal places The relative minimum is □\square□ Round to 4 decimal placesCalculator

Problem 49226

Problem 49227

Problem 49228

Problem 49229

42 10) 45 2 54 5.4 20

Problem 49230

Problem 49231

(19) Solve for x:x2−x+3=0x: x^{2}-x+3=0x:x2−x+3=0 (C) x=−32,x=52x=-\frac{3}{2}, x=\frac{5}{2}x=−23​,x=25​ (D) x=x=x=

Problem 49232

Problem 49233

Problem 49234

expand g(x)=(x−3)4g(x)=(x-3)^{4}g(x)=(x−3)4

Problem 49235

2. Explain how the diagram demonstrates the Pythagorean Theorem.

Problem 49236

Problem 49237

Polynomials and Factoring Factoring out a monomial from a polynomlal: UnivariateFactor 16w+20w216 w+20 w^{2}16w+20w2. □\square□

Problem 49238

1. Complete the following curve of the even function fff defined on IRI RIR

Problem 49239

Solve the following polynomial using synthetic division. x3+8x2+11x−20=0x=□x=□x=□\begin{array}{l} x^{3}+8 x^{2}+11 x-20=0 \\ x=\square \\ x=\square \\ x=\square \end{array}x3+8x2+11x−20=0x=□x=□x=□​

Problem 49240

A good radiograph is taken with 20 mAs using tabletop with an EI=200\mathrm{EI}=200EI=200. Find the EI value using 40 mAs and 10:1 grid.

Problem 49241

Problem 49242

Which graph represents a proportional relationship?ABCD

Problem 49243

Problem 49244

Problem 49245

Problem 49246

Use the definition of a one-to-one function to determine if the function is one-to-one. k(x)=x3−16k(x)=x^{3}-16k(x)=x3−16 The function is one-to-one. The function is not one-to-one.

Problem 49247

Problem 49248

Problem 49249

3−43-43−4. State the answer as an ordered pair (x,y)(x, y)(x,y), if possible.3. Solve {y=4x−1y=−12x+8\left\{\begin{array}{c}y=4 x-1 \\ y=-\frac{1}{2} x+8\end{array}\right.{y=4x−1y=−21​x+8​ by graphing.

Problem 49250

Use the properties of logarithms to rewrite the expression log⁡5(x9)\log _{5}\left(x^{9}\right)log5​(x9). Write your answer without any powers. log⁡5(x9)=\log _{5}\left(x^{9}\right)=log5​(x9)=Enter your next step here □\square□

Problem 49251

Solve the following quadratic equation for all values of xxx in simplest form. 6+3x2=186+3 x^{2}=186+3x2=18Answer Attempt 1 out of 2 † Additional Solution No Solution x=x=x= □\square□ Submit Answer

Find the solution of the system of equations. $\left\{\begin{array}{l} x-5 y=-20 \\ -4 x-5 y=5 \end{array}\right.$
Show your work here $\begin{array}{l} x= \\ y= \end{array}$

The function graphed above Is:
Concave up on the Interval(s) $\square$
Concave down on the interval(s) $\square$
There is an inflection point at: $\square$

stion 15 yet wered rked out of 0 Flag estion
Decide whether the function is even, odd, or neither. $g(x)=x^{3}-5 x$
Select one: a. Even b. Odd c. Neither odd nor even
Clear my choice

Find the domain of the following rational function. $H(x)=\frac{-3 x^{2}}{(x-3)(x+3)}$

Use properties of logarithms to condense the logarithmic expression. logarithmic expressions. $\begin{array}{l} \ln x+\ln 17 \\ \ln x+\ln 17= \end{array}$ $\square$

12
Find the solution of the system of equations. $\left\{\begin{array}{l} 5 x+2 y=4 \\ 2 x-2 y=10 \end{array}\right.$
Show your work here $\begin{array}{l} x= \\ y= \end{array}$

Solve the equation: $\log _{6}(x)+\log _{6}(x+16)=2$ The solution(s) is (are) $x=$ $\square$
Calculator

Use properties of logarithms to condense the logarithmic expression. expressions if possible. $\begin{array}{l} 2 \ln (x+9)-3 \ln x \\ 2 \ln (x+9)-3 \ln x= \end{array}$ $\square$

(a) Graph $f(x)=x^{2}-4 ; x \leq 0$ .

Bookwork code: 2C Calculator not allowed
Write an equation to represent the function machine below.
Input Output $x \rightarrow \times 6+4 \rightarrow 7$

9. Find $g^{\prime}(x)$ if $g(x)=\int_{4 x}^{x^{2}} 6+\cos t d t$

Alexandra thinks of a number, $t$ . She multiplies it by 4 , then she subtracts 7 and gets an answer of 18 . Write an equation to describe this.

Use your calculator to find the real zero(s) and the relative minimum of the function $f(x)=3 x^{3}-3 x^{2}-6 x-4$
The real zero(s) is (are) $\square$ Round to 4 decimal places The relative minimum is $\square$ Round to 4 decimal places
Calculator

(19) Solve for $x: x^{2}-x+3=0$ (C) $x=-\frac{3}{2}, x=\frac{5}{2}$ (D) $x=$

expand $g(x)=(x-3)^{4}$

Polynomials and Factoring Factoring out a monomial from a polynomlal: Univariate
Factor $16 w+20 w^{2}$ . $\square$

1. Complete the following curve of the even function $f$ defined on $I R$

Solve the following polynomial using synthetic division. $\begin{array}{l} x^{3}+8 x^{2}+11 x-20=0 \\ x=\square \\ x=\square \\ x=\square \end{array}$

A good radiograph is taken with 20 mAs using tabletop with an $\mathrm{EI}=200$ . Find the EI value using 40 mAs and 10:1 grid.

Which graph represents a proportional relationship?
A
B
C
D

Use the definition of a one-to-one function to determine if the function is one-to-one. $k(x)=x^{3}-16$ The function is one-to-one. The function is not one-to-one.

$3-4$ . State the answer as an ordered pair $(x, y)$ , if possible.
3. Solve $\left\{\begin{array}{c}y=4 x-1 \\ y=-\frac{1}{2} x+8\end{array}\right.$ by graphing.

Use the properties of logarithms to rewrite the expression $\log _{5}\left(x^{9}\right)$ . Write your answer without any powers. $\log _{5}\left(x^{9}\right)=$
Enter your next step here $\square$

Solve the following quadratic equation for all values of $x$ in simplest form. $6+3 x^{2}=18$
Answer Attempt 1 out of 2 † Additional Solution No Solution $x=$ $\square$ Submit Answer

4. In the following triangle, what is NOT a possible value of $x$ ? A) 1 B) 3 C) 4 D) 6

3. $f(x)=\frac{1}{\sqrt{1-x^{2}}}$

Find a formula for the inverse of the function. $\begin{array}{l} f(x)=\sqrt{x^{2}+2 x}, x>0 . \\ f^{-1}(x)= \end{array}$

10. Calculate the value of the following series: $\sum_{k=2}^{\infty} \frac{1}{(3 k+1)(3 k+4)}$

What is the leading coefficient? $2 x^{6}-3 x^{5}+15 x^{4}$
15 1 Answer $\triangle 15$ 20
6 2 Dowe G kahoot.it Game PIN: 7617209

7. Simplify the following: $3 \sin (2 x) \cos (2 x)$ a. $1.5 \sin (2 x)$ b. $6 \sin (4 x)$ c. $1.5 \sin (4 x)$

1. Solve each equation. Use a double number line if it is helpful. a. $-3 x-5=20$ $-25 / 3$ b. $\frac{4}{5} x+2=14$
15 $\{3(x-4+13)=36$

Solve for $h$ . $h+3>9$

16. $\sqrt[3]{x-12}=3$
17. $\sqrt[4]{5 x+6}-9=0$
18. $\sqrt{1-3 x}-6=4$
19. $3 x^{\frac{2}{3}}=75$

2. Write each fraction as a decimal. $\frac{1}{4}=\quad \frac{1}{5}=$