Browse Word Problem problems Studdy Solved!

Problem 601

Whe the decimal as a fraction or a mixed number White your ansucr in singleat font 04 $0.4=$ $\square$ (Simplify your ansmer)

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Problem 602

Question Show Examples Point $T$ is on line segment $\overline{S U}$ . Given $S U=18$ and $T U=10$ , determine the length $\overline{S T}$ .
Answer $S T=$ $\square$ Submit Answer

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Problem 603

Show Examples Question Point $U$ is on line segment $\overline{T V}$ . Given $U V=4$ and $T U=3$ , determine the length $\overline{T V}$ .
Answer $T V=$ Submit Answer Sep 8 12:15 INTL

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Problem 604

Show Examples
Point $G$ is on line segment $F H$ . Given $G H=7$ and $F G=3$ , determine the length $\overline{F H}$ .
Answer
FII $=$ $\square$ sulhimil Aiswer

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Problem 605

Use the group number to determine the charge on an ion derived from each element.
Part 1 of 4
Cesium: (Choose one) $\square$
Part 2 of 4
Strontium: (Choose one) $\square$
Part 3 of 4
Nitrogen: $\square$ (Choose one)

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Problem 606

- Sample B has a mass of 12.0 g and a volume or 0.0 - Sample C has a mass of 12.0 g and a volume of 3.0 ml .
10. A graduated cylinder contains 17.5 ml of water. When a metal cube is placed onto the cylinder, its water level rises to 20.3 ml . Calculate the following: - Volume of the cube: $\qquad$ ml - Volume of the cube $\qquad$ $\mathrm{cm}^{3}$

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Problem 607

(c) i. Calculate the intrinsic concentration of charge carriers at 300 K , given $m_{e}^{}=0.12 m_{0}, m_{h}^{}=$ $0.28 m_{0}$ and the value of energy band gap $E_{g}=0.67 \mathrm{eV}$ .

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Problem 608

The sum of 3 consecutive integers is 42. Which integers are they? $\square$ $\square$ ,
Submit $\square$

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Problem 609

Example 6: In a group of 12 men, there are 4 smokers. A sample of 5 men is selected at random from this group. Construct a probability distribution for the number of smokers in the sample. Let a random variable $X$ denotes the number of smokers in the sample. To construct a probability distribution for $X$ ,
1. Determine the space of $X$ , here, $\Omega_{\mathrm{X}}=\{0,1,2,3,4\}$ .
2. Find the probability of each value of $X$

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Problem 610

Watch the video that describes solving absolute value equations and inequalities. Click here to watch the video. Solve the following equations and inequalities analytically. (a) $|3 x+2|+2=5$ (b) $|3 x+2|+2 \leq 5$ (c) $|3 x+2|+2 \geq 5$ (a) Find the solution for $|3 x+2|+2=5$ . Select the correct choice below. and fill in the answer box if necessary. A. The solution set is $\square$ (Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The solution set is $\square$ (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) C. There is no solution.

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Problem 611

Insent $<,>$ of = befween the pair of numbers to form a true statement 0.550 .56

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Problem 612

39. MODELING REAL LIFE The map shows the intersections of three roads. Malcom Way intersects 7 Sydney Street at an angle of $162^{\circ}$ . Park Road intersects Sydney Street at an angle of $87^{\circ}$ . Find the angle at which Malcom Way intersects Park Road.

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Problem 613

A calorimeter is to be used to compare the energy content of some fuels. In the calibration of the calorimeter, an electrical heater supplies 100.0 J of heat and a temperature increase of $0.850^{\circ} \mathrm{C}$ is observed. Then 0.245 g of a particular fuel is burned in this same calorimeter, and the temperature increases by $5.23^{\circ} \mathrm{C}$ . Calculate the energy density of this fuel, which is the amount of energy liberated per gram of fuel burned.

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Problem 614

What is $\cot \left(-\frac{3 \pi}{4}\right)$ ? $[?]$

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Problem 615

45. MAKING AN ARGUMENT Is it possible for a straight angle to consist of two obtuse angles? Explain your reasoning.

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Problem 616

43. NUMBER SENSE Given $\angle A B C, X$ is in the interior of the angle, $m \angle A B X$ is $12^{\circ}$ more than 4 times $m \angle C B X$ , and $m \angle A B C=92^{\circ}$ . Find $m \angle A B X$ and $m \angle C B X$ .

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Problem 617

Of people who died in the United States in a recent year, $86 \%$ were white, $12 \%$ were black, and $2 \%$ were Asian. (We will ignore the small number of deaths among other races.) Diabetes caused $2.8 \%$ of deaths among whites, $4.4 \%$ among blacks, and $3.5 \%$ among Asians. The probability that a randomly chosen death was due to diabetes is about (a) 0.96 . (b) 0.107 . (c) 0.042 . (d) 0.038 (e) 0.030

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Problem 618

(e) 0.030 .
In your top dresser drawer are 6 blue socks and 10 grey socks, unpaired and mixed up. One dark morning you pull two socks from the drawer (without replacement, of course!). What is the probability that the two socks match? (a) 0.075 (b) 0.375 (c) 0.450 (d) 0.500 (e) 0.550

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Problem 619

Stretch
Numbers can be operated on using operations other than addition, subtraction, multiplication, and division. Let's define a new operation called $\leftarrow$ , where $2 \diamond 4=2^{2} \div 4$ and 6 $3=6^{6} \div 3$ . Is the set of whole numbers closed under the operation *? That is, does $a \star b$ , where $a$ and $b$ are whole numbers, always result in a whole number? Justify your claim. $\sqrt{x}$ B I $\underline{U}$

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Problem 620

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is $\$ 940$ and the annual interest rate is $2.6 \%$ ? $\text { Interest = } \$[?]$
Round your answer to the nearest hundredth.

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Problem 621

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is $\$ 680$ and the annual interest rate is $3.6 \%$ ?
Interest = \ $?$ \square$ Round your answer to the nearest hundredth.

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Problem 622

Esta es la única pregunta en esta sección.
Pregunta Ver video Mostrar ejemplos
Escribe la ecuación de la recta que pasa por los puntos $(-3,-4)$ y $(7,-2)$ . Coloque su respuesta en forma punto-pendiente totalmente simplificada, a melios que sea una línea vertical u horizontal.
Respuesta Intento 1 de 2 $\square$ Enviar respuesta

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Problem 623

11.) Mr. Smith is having some photos enlarged for his studio. He wants to enlarge a photo that is 5 inches by 7 inches so the dimensions are 3 times larger than the original. How many times larger than the original photo will the area of the new photo be?

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Problem 624

Most scientists agree that the moon was likely formed after a collision between Earth and a large planet named Theia. This collision likely created a huge debris field, made up of material from both Earth and Theia. Based on models of this event. scientists believe that the moon was formed from this debris over the course of thousands of years.
Text 2 Reseanchers from NASA's Ames Research Center used a computer to model how the moon could have formed. Although simulations of the moon's formation have been done in the past, the team from NASA ran simulations that were much more detailed. They found that the formation of the moon was likely not a slow process that took many years. Instead, it's probable that the moon's formation happened immediately after impact. taking just a few hours.
Which choice best describes a difference in how the author of Text 1 and the author of Text 2 view the vidence for the formation of the moon?
Groose tanswer (9) The zuthor of Text 1 believes that the moon formed more slowly than the author of Text 2 believes: (1) The author of Text 1 suggests there is more evidence confirming the existence of Theia then the author of Text2 suggests. (1) The author of Text 1 claims that the moons surface $s$ more similar to Earth's surface than the author of Text 2 claims. (18) The author of Text 1 argues that the formation of the moon occumed much eadier than the author of Text 2 angues:

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Problem 625

Question 2
The Cell Cycle consists of the following phases: (A) G1 (B) S phase (C) G2 (D) $M$ phase (E) All of the above

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Problem 626

Solving a decimal word problem using a two-step linear inequality
For his phone service, Frank pays a monthly fee of $\$ 22$ , and he pays an additional $\$ 0.04$ per minute of use. The least he has been charged in a month is \$76.32.
What are the possible numbers of minutes he has used his phone in a month? Use $m$ for the number of minutes, and solve your inequality, for $m$ .

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Problem 627

For her phone service, Donna pays a monthly fee of $\$ 10$ , and she pays an additional $\$ 0.05$ per minute of use. The least she has been charged in a month is $\$ 64.20$ .
What are the possible numbers of minutes she has used her phone in a month? Use $m$ for the number of minutes, and solve your inequality for $m$ . $\square$

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Problem 628

You decide to determine the nutritional value of some new candy using Calorimetry. After placing 5.10 g of the candy in a bomb calorimeter, you observe an increase in temperature of $2.78^{\circ} \mathrm{C}$ . If the heat capacity of the Bomb Calorimeter is $35.55 \mathrm{~kJ} /$ ${ }^{\circ} \mathrm{C}$ . How many nutritional calories are there per gram of candy? 1 nutritional Calorie $=1000 \mathrm{cal}$ $1 \mathrm{cal}=4.184 \mathrm{~J}$ 4.63 Cal/g 2.54 Cal/g $120 \mathrm{Cal} / \mathrm{g}$ 5.04 $\mathrm{Cal} / \mathrm{g}$

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Problem 629

Problem:
Leo and Marco are college roommates who just completed their first year of college. After returning home, they each realized they had the wrong laptop and decide to meet up to swap laptops since they only live 213 miles apart. They start at the same time and drive toward each other; they meet in 1.5 hours. Leo drives 6 mph slower than Marco. How fast is Leo driving? How far does Leo drive?
Organize the information and set up the equation
Table and/or diagram: \begin{tabular}{|l|l|l|l|} \hline Object & $\boldsymbol{r}$ & $\boldsymbol{t}$ & $\boldsymbol{D}=\boldsymbol{r} \boldsymbol{t}$ \\ \hline & & & \\ \hline & & & \\ \hline \end{tabular}
Define the variable: (you will only need one variable)
Write the equation:
Solve the equation \& answer the question
Solve the equation:
Leo's distance:

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Problem 630

Kelly has a special savings account she uses to save for her next vacation. Yesterday, she deposited $\$ 65$ in that account.
What integer represents the change in Kelly's account balance? $\square$ dollars

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Problem 631

If possible, use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements given below.
If you get an A on your math homework, then you will pass the test. If you get an A on your math homework, then you will pass the class.
Answer Attempt 1 out of 4 If you pass the test, then you will pass the class. If you practice, then you will get an If you get an $A$ on your math homework, then you will get a 100 . $\square$ You cannot use the Law of A on your test. Syllogism to create a new conditional statement.

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Problem 632

Question 10 of 10 Which of these is true about coping skills? They help you make the fastest choice. They help with just simple emotions. You can develop coping skills with practice. You can only use one coping skill to calm down.

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Problem 633

19. $\triangle A B C$ is dilated to form $\triangle A^{\prime} B^{\prime} C^{\prime}$ , and again to form $\triangle A^{\prime \prime} B^{\prime \prime} C^{\prime \prime}$ with the center of dilation at the origin.
Select all of the following statements that are true. $\angle B \cong \angle B^{\prime \prime}$ $\angle C^{\prime} \cong \angle A^{\prime \prime}$ $\frac{3}{5} B^{\prime \prime} C^{\prime \prime}=B^{\prime} C^{\prime}$ $A B=\frac{3}{4} A^{\prime} B^{\prime}$ $\triangle A B C \cong \triangle A^{\prime} B^{\prime} C^{\prime}$ $\frac{3}{4} A C=A^{\prime} C^{\rho}$ $\Delta A^{\prime} B^{\prime} C^{\prime} \sim \Delta A^{\prime \prime} B^{\prime \prime} C^{\prime \prime}$

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Problem 634

units. If management implements the new pricing strategy. profitability will

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Problem 635

Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar.
How much soy sauce does Bonnie mix with every 1 milliliter of vinegar? $\qquad$ milliliters How much vinegar does Bonnie mix with every 1 milliliter of soy sauce? $\square$ milliliters

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Problem 636

Une aiguille est insérée dans une veine dont la pression est de $24 \, \text{mmHg}$ . À quelle hauteur minimale par rapport à la veine faut-il placer la poche de sang pour que celui-ci puisse entrer dans le vaisseau?
\begin{itemize} \item C $5,8 \, \text{m}$ \item D $10,3 \, \text{m}$ \item E $1,5 \, \text{m}$ \item F $10 \, \text{m}$ \item G ABR minimale par rapport à la veine faut-il placer la poche du sang de 24 mmHg. À quelle hauteur vaisseau? \end{itemize}
a. uniquement de la température
b. uniquement d'une transformation réversible variables
c. aucune réponse

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Problem 637

- Comprender la diferencia entre permutaciones y combinaciones - Resolver problemas aplicando los conceptos de permutaciones y combinaciones en diferentes contextos. Instrucciones A continuación, encontrarás una serie de preguntas sobre permutaciones y combinaciones sin repetición. Selecciona la opción que consideres correcta.
Parte 1: Permutaciones sin Repetición
Pregunta 1: ¿Cuántas maneras diferentes hay de organizar las letras de la palabra RAMO? a. 12 b. 24 c. 48 d. 120
Pregunta 2: En una carrera con 6 atletas, ¿de cuántas maneras distintas se pueden asignar las medallas de oro, plata y bronce? a. 20 b. 60 c. 120 d. 720
Pregunta 3: Un grupo de 4 amigos debe sentarse en 4 sillas alineadas. ¿De cuántas formas diferentes pueden sentarse? a. 12 b. 16 c. 24 d. 32
Parte 2: Combinaciones sin Repetición
Pregunta 4: En un equipo de baloncesto, el entrenador debe elegir 2 jugadores de un grupo de 8 para lanzar tiros libres. ¿De cuántas maneras diferentes puede hacer esta selección? a. 16 b. 28 c. 56

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Problem 638

Find the slope of the line containing the points $(3,5)$ and $(1,3)$ .

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Problem 639

At the beginning of the year, Adrian's savings account balance was $\$ 28$ . Each week, he deposits another $\$ 15$ into that account, and he doesn't spend any of his savings. Is his savings account balance proportional to the number of weeks since the start of the year?
Choose 1 answer: (A) Yes (B) No

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Problem 640

Natasha has a job putting letters in envelopes to be mailed. In 1 hour she put 42 letters in envelopes.
Which equation best represents $y$ , the total number of letters Natasha puts in envelopes in $x$ hours if she continues at this rate?
F $x=y+42$ G $y=x+42$ H $x=42 y$ J $y=42 x$

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Problem 641

Arbeitsblatt 2 zu Baumdiagrammen Aufgabe 1 Bei einer Produktionskontrolle werden in 3 Prüfungsgängen Länge, Breite und Höhe eines Metallstückes geprüft (in jedem Prüfungsgang nur eine Größe!). Diese sind erfahrungsgemäß mit den Wahrscheinlichkeiten 0,2 (Länge) bzw. 0,25 (Breite) bzw. 0,15 (Höhe) außerhalb vorgegebener Toleranzgrenzen. Ein Metallstück wird nicht ausgeliefert, wenn mindestens zwei der Kontrollen negativ ausgehen. Mit welcher Wahrscheinlichkeit wird ein kontrolliertes Werkstück ausgeliefert? In welcher Reihenfolge würden Sie die Überprüfungen durchführen?

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Problem 642

At the gas station, gas usually costs $\$ 3$ . This month, there's a sale: for every drink you purchase you save $\$ 0.20$ on gas.
Assuming your sale savings are less than the cost of your gas, are your total savings on gas proportional to the number of drinks you purchase?
Choose 1 answer: (A) Yes (B) No

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Problem 643

Use logical reasoning to determine the end behavior or limit of the function as $x$ approaches infinity. Explain your reasoning. (Example 6)
33. $q(x)=-\frac{24}{x}$
34. $f(x)=\frac{0.8}{x^{2}}$
35. $p(x)=\frac{x+1}{x-2}$
36. $m(x)=\frac{4+x}{2 x+6}$
37. $c(x)=\frac{5 x^{2}}{x^{3}+2 x+1}$
38. $k(x)=\frac{4 x^{2}-3 x-1}{11 x}$
39. $h(x)=2 x^{5}+7 x^{3}+5$
40. $g(x)=x^{4}-9 x^{2}+\frac{x}{4}$

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Problem 644

Three charges are placed at the corners of a rectangle, and observation point $P$ is located at the fourth, as shown. The rectangle, with a horizontal side length of $h=7.11 \mathrm{~cm}$ and a vertical side length of $v=3.91 \mathrm{~cm}$ , is aligned with the coordinate axes. The charges at the upper-left, upper-right, and lower-left corners are $q_{\mathrm{UL}}=+4.27 \mathbf{n C}$ , $q_{\mathrm{UR}}=-7.34 \mathrm{nC}$ , and $q_{\mathrm{LL}}=+5.33 \mathrm{nC}$ , respectively. Arrington, Parker - pjas37)epsu.edu - Part (a) $\checkmark$
The net electric field at point $P$ may be expressed in Cartesian unit-vector notation as $\vec{E}_{\text {net }}=E_{x} \hat{i}+E_{y} \hat{j}$
Enter the value, in newtons per coulomb, of the horizontal component of the net electric field. $E_{x}=1.459 \times 10^{4} \mathrm{~N} / \mathrm{C}$ $\checkmark$ Correct!
Part (b) The net electric field at point $P$ may be expressed in Cartesian unit-vector notation as $\vec{E}_{\text {net }}=E_{x} \hat{i} \mp E_{y} \hat{j}$
Enter the value, in newtons per coulomb, of the vertical component of the net electric field. $E_{y}=$ $\square$ $\mathrm{N} / \mathrm{C}$ $\square$ ( $\square$ 7 ( 7 8 9 $\square$ $\begin{array}{|l|l|l|} \sin \theta & \cos \theta & \tan \theta \\ \hline \operatorname{cotan} \theta & a \sin \theta & a \cos \theta \\ \hline \operatorname{atan} \theta & \operatorname{acotan} \theta & \sinh \theta \\ \hline \cosh \theta & \tanh \theta & \operatorname{cotanh} \theta \\ \hline \end{array}$ E 13 (1) 4 5 6 0 $\square$ Degrees Radians 1 $\square$ 1 2 3 $\square$ $\square$ $\square$ $\square$ END $++$ $-0$ $($ . CLEAR Submit $\square$ PACKspace $\square$ $\square$ (V) Feedback: I give up! 2 Free Submission(s) Remaining Hints: $\underline{2 \%}$ deduction per hint. Hints remaining: $\underline{3}$ Feedback: $2 \%$ deduction per feedback. Part (c) What is the magnitude, in newtons per coulomb, of the net electric field at point $P$ .

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Problem 645

Triangle $A$ has a height of 2.5 cm and a base of 1.6 cm . The height and base of triangle $B$ are proportional to the height and base of triangle $A$ .
Which of the following could be the height and base of triangle $B$ ?
Choose 3 answers:
A Height: 2.75 cm Base: 1.76 cm (B) Height: 9.25 cm
Base: 9.16 cm (c) Height: 3.2 cm
Base: 5 cm (D) Height: 1.25 cm
Base: 0.8 cm E Height: 2 cm Base: 1.28 cm

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Problem 646

Maël mixes 15 milliliters $(\mathrm{mL})$ of bleach with 3.75 liters $(\mathrm{L})$ of water to make a sanitizing solution for a daycare. The amounts of bleach and water always have to be proportional when he makes sanitizing solution.
Which of the following could be combinations of volumes of bleach and water for Maël's sanitizing solution?
Choose 3 answers: A 12 mL bleach and 3 L water B 6 mL bleach and 1.5 L water c. 3 mL bleach and 0.75 L water (D) 20 mL bleach and 5.5 L water
E 11 mL bleach and 3.75 L water

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Problem 647

Question
Which equation has the solution $x=7$ ?
Answer $4 x-3=-25$ $5 x-4=31$ $8 x+8=104$ $6 x-4=5$

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Problem 648

Which equation has the solution $x=3$ ?
Answer $2 x-2=4$ $7 x-7=-14$ $6 x-4=86$ $8 x+2=46$

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Problem 649

setriet Nom : $\qquad$
1. Un mobile de 100 kz , initialement au repos, est propulse par une force $F$ sur un plan horizontal de fongueur $A B=10 \mathrm{~m}$ . A la fin de la propulsion, le mobile atteint la vitesse de $18 \mathrm{~km}^{\mathrm{h}} \mathrm{h}^{\prime 1}$ et gravit un plan inclind d'un angle de $15^{\circ}$ oú il existe des forces de frottement solide $f=10 \mathrm{~N}$ . 1.I. La norme de la force de propulsion $F$ vaut :
A 125 N B 250 N C 500 N D 750 N E 100 N F/80N G.ABR 1.2. Parmi les schémas suivant, lequel repressente le bilan des forees s'appliquant sur le mobile
D

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Problem 650

If triangle $A B C$ has $\angle A=52^{\circ}$ , side $a=178$ , and side $b=234$ , then which of the following is true? A. $\angle B=62.3^{\circ}$ B. There is no solution. C. $\angle B=62.3^{\circ}$ or $117.7^{\circ}$ D. $\angle B=117.7^{\circ}$

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Problem 651

$\text{Triangle CDE, with vertices } C(-9,4), D(-4,3), \text{ and } E(-8,6), \text{ is drawn on the coordinate grid below.}$ $\text{What is the area, in square units, of triangle CDE?}$

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Problem 652

Identify an algebraic equation you can use to find the measure of each angle based on the given description. Then find the measure of each angle.
The measure of one angle is $3^{\circ}$ more than $\frac{1}{2}$ the measure of its supplement. $x+\left(\frac{1}{2} x+3\right)=180$ $x+\left(\frac{1}{2} x+3\right)=90$ $x+\left(\frac{1}{2} x-3\right)=180$ $x+\left(\frac{1}{2} x-3\right)=90$
The measure of the smaller angle is $\square$ .
The measure of the larger angle is $\square$ .

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Problem 653

9.4 Exactly 8 years ago Tashil invested R30 000 in an account earning 6,5\% per annum, compounded monthly. 9.4.1 How much will he receive if he withdrew his money today? 9.4.2 Tashil withdrew R10 000 three years after making the initial deposit and re-invested R10 000 five years after making the initial deposit. Calculate the difference between the final amount Tashil will now receive after eight years and the amount he would have received had there not been any transactions on the account after the initial deposit.

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Problem 654

Write the equation of the vertical line through the point $(9,-6)$ .
The equation of the line is $\square$ (Simplify your answer. Type an equation using x and y as the variables.)

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Problem 655

A motorboat can maintain a constant speed of 27 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 44 minutes; the return trip takes 22 minutes. What is the speed of the current?

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Problem 656

The points $\mathrm{A}(4,6), \mathrm{B}(-5,6)$ , $\mathrm{C}(-9,-3)$ , and $\mathrm{D}(0,-3)$ form parallelogram $A B C D$ . Plot the points then click the "Graph Quadrilateral" button. Then find the area of the parallelogram.

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Problem 657

ive.com/formatives/5b8eeafdc0e4d3000190f1f2 es Raised Th... reas of Objects Made from Right Rectangular Prisms
5. The side of EACH cube in the figure below has a length of 1 cm .4 cubes make up the figure below. Without using a calculator, what is the surface area of the entire figure?
Type a response

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Problem 658

A company will need $\$ 25,000$ in 8 years for a new addition. To meet this goal, the company deposits money in an account today that pays $9 \%$ annual interest compounded quarterly. Find the amount that should be invested to total $\$ 25,000$ in 8 years.
The company should invest \\square$ (Do not round until the final answer. Then round to the nearest dollar as needed.)

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Problem 659

Isotopes of an atom differ in
Multiple Choice their atomic number. their atomic mass. their number of electrons. their ability to form lons.

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Problem 660

Elements that differ in their $\qquad$ are known as isotopes.
Multiple Choice proton number electron number neutron number type of bonds atomic number

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Problem 661

A ball is shot straight upward, with its height, in feet, after $t$ seconds given by the function $f(t)=-16 t^{2}+176 t$ . Find the average velocity of the ball from $t=1$ to $t=5.5$ .
The average velocity of the ball from $t=1$ to $t=5.5$ is $\square$ feet. feet. feet per second. seconds.

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Problem 662

The length of a rectangle is 5 meters less than twice the width. If the area of the rectangle is 375 square meters, find the dimensions.

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Problem 663

skipped part.
Tutorial Exercise each profit (in dollars). (a) What is the cost function? (b) What is the revenue function? (c) What is the profit function? (d) Compute the profit (loss) corresponding to production levels of 9,000 and 12,000 units. Click here to begin! Submit Answer

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Problem 664

Transformations Test Review Name:
Date: $\qquad$ Period:
Multiple Choice
1. Which describes the transformation of the triangle? a. reflection over the $x$ -axis b. reflection over the $y$ -axis c. rotation $90^{\circ} \mathrm{CW}$ about the origin d. rotation $180^{\circ} \mathrm{CW}$ about the origin
2. Which transformation will result in an image which is similar, but not congruent, to the pre-image? a. dilation b. glide reflection c. rotation d. translation
3. A figure is located entirely in the third quadrant. If it is reflected over the $y$ -axis, what will the signs of the coordinates be? a. both positive b. both negative c. x is positive, y is negative d. y is positive, x is negative
4. $\Delta \mathrm{QRS}$ is translated by the following vector: $\langle-4,2\rangle$ . The vertices are as follows: $\mathrm{Q}(1,3), \mathrm{R}(5,1)$ , and $S(3,5)$ . Which ordered pair is a vertex of the translated image? a. $(-1,3)$ b. $(1,-3)$ c. $(1,3)$ d. $(3,1)$
5. Which of these transformations occurs when the blades of a fan turn? a. dilation b. reflection c. rotation d. translation
6. Which of the following describes the transformation shown? a. dilation with a scale factor of 2 b. rotation of $90^{\circ} \mathrm{CCW}$ c. reflection over the x -axis d. translation up 2 units
7. $\Delta \mathrm{JKL}$ has vertices $\mathrm{J}(2,4), \mathrm{K}(3,1)$ , and $\mathrm{L}(3,3)$ . A transiauion maps ne point J io $\mathrm{J}(2,2)$ . What are the coordinates of K '? a. $(-3,1)$ b. $(2,2)$ c. (3 2) d. $(4,0)$
8. Which of the following transformations has the same result as a rotation of $90^{\circ} \mathrm{CW}$ ? a. dilation of scale factor of 9 c. reflection about a horizontal line b. rotation of $270^{\circ} \mathrm{CCW}$ d. translation down and to the right
9. Which transformation best describes the image of a object viewed through a microscope? a. dilation b. reflection c. rotation d. translation 41

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Problem 665

SL4. [Maximum mark: 6] - CALCULATOR ALLOWED HL2. A sphere with diameter 3474000 meters can model the shape of the moon. (a) Use this model to calculate the circumference of the moon in kilometers. Give your full calculator display (b) Give your answer to part (a) correct to three significant figures (c) Write your answer to part (b) in the form $a \times 10^{k}$ , where $1 \leq a<10, k \in \mathbb{Z}$

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Problem 666

Suppose that you find in a reference book that the volume of all the oceans is $1.4 \times 10^{9} \mathrm{~km}^{3}$ . To find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. What is this volume in cubic meters?
Express your answer in cubic meters. View Available Hint(s)
Hint 1. Find the conversion factor $\square$ $1.4 \times 10^{9} \mathrm{~km}^{3}=$ $\square$ $\mathrm{m}^{3}$

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Problem 667

A butcher shop knows that it must buy a new machine in 6 years. The machine costs $\$ 13,000$ . In order to accumulate enough money for the machine, the shop owner decides to deposit a sum of money at the end of each 6 months in an account paying $4 \%$ compounded semiannually. How much should each payment be?
The deposits form an $\square$ because the deposits are made at the $\square$ Each payment should be $\$$ (Do not round until the final answer. Then round to the nearest cent as needed.) $\square$ of each period. Therefore, the formula $\square$ should be used

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Problem 668

Find the length of segment $A C$ if $A B=6, B C=10$ and $B$ is between $A$ and $C$ 4 6 60 $-4$ 16

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Problem 669

Question
The diameter of a circle is 3 in . Find its area to the nearest hundredth.
Answer Attempt 1 out of 2 $A=$ $\square$ in $^{2}$ Submit Answer

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Problem 670

Problem 12.46 The acceleration of a sled can be prescribed to have one of the following forms: $a=\beta_{1} \sqrt{t}, a=\beta_{2} t$ , and $a=\beta_{3} t^{2}$ , where $t$ is time expressed in seconds, $\beta_{1}=1 \mathrm{~m} / \mathrm{s}^{5 / 2}, \beta_{2}=1 \mathrm{~m} / \mathrm{s}^{3}$ , and $\beta_{3}=1 \mathrm{~m} / \mathrm{s}^{4}$ . The sled starts from rest at $t=0$ . Determine which of the three cases allows the sled to cover the largest distance in 1 s . In addition, determine the distance covered for the case in question.
Figure P12.45 and P12.46 Answm

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Problem 671

Story Problems Read the story carefully to understand the problem.
2. Decide what kind of problem it is addition, subtraction, multiplication, or division. -What are the facts? -What is the question?
3. Solve by writing and working the problem.
4. Check your work. - Read the question again and see if your answer makes sense. - If not, go back and find your mistake. (5) Read the story. Mark the O next to the sentence that tells the best way to solve the problem.
On Monday, Olivia's Leghorn hens laid some white eggs, and her Plymouth Rock hens laid some brown eggs. How many eggs did Olivia's hens lay on Monday? Subtract the brown eggs from the white eggs. Subtract the white eggs from the brown eggs. Add the white eggs and the brown eggs. Multiply the brown eggs times the white eggs. (6) Solve each story problem. Remember to label your answer. a. In the bag of jellybeans, there are 97 red jellybeans, 45 green jellybeans, 68 yellow jellybeans, and 84 black jellybeans. How many jellybeans are in the bag? $\qquad$ b. About 1 million jellybean centers can be manufactured in 1 hour. How many jellybean centers can be manufactured in 17 hours? (7) Read the story. Mark the O next to the kind of problem. a. The grocery store worker stocked the freezer with 23 boxes of buttermilk waffles, 19 boxes of cinnamon waffles, 32 boxes of blueberry waffles, and 12 boxes of chocolate chip waffles. How many boxes of waffles did the worker put in the freezer? b. Mrs. Taylor made 30 waffles for her family. When breakfast was over, there were 7 waffles left. How many waffles did the Taylor family eat? $+$ O- $x$ $\div$ $\qquad$ Workspace $\qquad$ $\qquad$ $\qquad$ d. Danny ate 6 waffles and Thomas ate 9. How many more waffles did Thomas eat than Danny? c. If there are 8 waffles in a box of frozen waffles, how many waffles are in 11 boxes? $+$ - $x$ $\div$ $+$ $-$ $x$ $\div$ e. Mr. Foster's class went on a picnic. Each picnic table at the park seats 6 people. If there are 36 students and adults, how many tables will be used? $+$ $-$ $x$ $\div$ Lesson 8 14 Arithmetic 4

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Problem 672

c. Which set of data more closely resembles a normal distribution? Explain your answer.
3. In a set of data that approximate a normal distribution, the mean is 5 and the standard deviation is 2.1. (Round all answers to the nearest hundredth.) a. What percent of the values are expected to be between 2.9 and 5 ? b. What percent of the values are expected to be above 9.2 ?

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Problem 673

Problems 12.60 and 12.61 A package is pushed up an incline at $x=0$ with an initial speed $v_{0}$ . The incline is coated with a thin viscous layer so that the acceleration of the package is given by $a=-(g \sin \theta+\eta v)$ , where $g$ is the acceleration due to gravity, $\eta$ is a constant, and $v$ is the velocity of the package.
Problem 12.60. If $\theta=30^{\circ}, v_{0}=10 \mathrm{ft} / \mathrm{s}$ , and $\eta=8 \mathrm{~s}^{-1}$ , determine the time it takes for the package to come to a stop. Answnt $t_{\text {stop }}=0.2233 \mathrm{~s}$

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Problem 674

"The sum of 5 and $x$ is multiplied by 2 . The result is then taken away from 18. ." Write an algebraic expression to represent this description.
You don't need to simplify the expression.

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Problem 675

Modules Question 3 $0 / 5$ pts irades 13 iscussions eople Ilaborations A polynomial of degree $5, P(x)$ has leading coefficient 2 , and has roots of multiplicity 3 at $x=-1$ , multiplicity 1 at $x=6$ , and multiplicity 1 at $x=5$ .
Find a possible formula for $P(x)$ . You can leave your answer in factor form. $P(x)=$ $\square$ Calculator Submit Question norlock dia Gallery Media

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Problem 676

As you will learn in Chapter 13, the angular acceleration of a simple pendulum is given by $\ddot{\theta}=-(g / L) \sin \theta$ , where $g$ is the acceleration of gravity and $L$ is the length of the pendulum cord.
Problem 12.74. Derive the expression of the angular velocity $\ddot{\theta}$ as a function of the angular coordinate $\theta$ . The initial conditions are $\theta(0)=\theta_{0}$ and $\dot{\theta}(0)=\dot{\theta}_{0}$
Answer Problem 12.75 Let the length of the pendulum cord be $L=1.5 \mathrm{~m}$ . If $\dot{\theta}=3.7 \mathrm{rad} / \mathrm{s}$ when $\theta=14^{\circ}$ , determine the maximum value of $\theta$ achieved by the pendulum.
Problem 12.76 The given angular acceleration remains valid even if the pendulum cord is replaced by a massless rigid bar. For this case, let $L=5.3 \mathrm{ft}$ and assume that the pendulum is placed in motion at $\theta=0^{\circ}$ . What is the minimum angular velocity at this position for the pendulum to swing through a full circle?
Answer $\dot{\theta}_{\min }=4.930 \mathrm{rad} / \mathrm{s}$

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Problem 677

23) 50 is $20 \%$ of what number? 25) $24 \%$ of what is 200 ?

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Problem 678

(1) Find the area of the region bounded by $f(x)=5 x, g(x)=3 x+10$ , $x=0$ and $x=6$

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Problem 679

12. $\qquad$ Order: Give Med X $5 \mathrm{mg} / \mathrm{kg} /$ day in two divided doses. The patient is 225 lbs . Available is ora suspension $250 \mathrm{mg} / 5 \mathrm{~mL}$ . How many mL will be given to the patient for each dose?

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Problem 680

Problem 12.76 The given angular acceleration remains valid even if the pendulum cord is replaced by a massless rigid bar. For this case, let $L=5.3 \mathrm{ft}$ and assume that the pendulum is placed in motion at $\theta=0^{\circ}$ . What is the minimum angular velocity at this position for the pendulum to swing through a full circle?
Answer $\dot{\theta}_{\min }=4.930 \mathrm{rad} / \mathrm{s}$

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Problem 681

6 erasers cost $\$ 6.60$ . Which equation would help determine the cost of 3 erasers? Choose 1 answer: (A) $\frac{3}{x}=\frac{\$ 6.60}{6}$ (B) $\frac{3}{6}=\frac{\$ 6.60}{x}$ (C) $\frac{x}{3}=\frac{6}{\$ 6.60}$ (D) $\frac{x}{3}=\frac{\$ 6.60}{6}$ (E) None of the above

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Problem 682

$\text{Given the points } (9,4) \text{ and } (-1,2), \text{ find the slope of the line passing through these points.}$

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Problem 683

4 markers cost $\$ 7.04$ .
Which equation would help determine the cost of 7 markers? Choose 1 answer: (A) $\frac{4}{7}=\frac{\$ 7.04}{x}$ (B) $\frac{x}{7}=\frac{4}{\$ 7.04}$ (C) $\frac{7}{x}=\frac{\$ 7.04}{4}$ (D) $\frac{4}{7}=\frac{x}{\$ 7.04}$ (E) None of the above

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Problem 684

Problems 12.82 and 12.83 Two masses $m_{A}$ and $m_{B}$ are placed at a distance $r_{0}$ from one another. Because of their mutual gravitational attraction, the acceleration of sphere $B$ as seen from sphere $A$ is given by $\ddot{r}=-G\left(\frac{m_{A}+m_{B}}{r^{2}}\right)$ where $G=6.674 \times 10^{-11} \mathrm{~m}^{3} /\left(\mathrm{kg} \cdot \mathrm{s}^{2}\right)=3.439 \times 10^{-8} \mathrm{ft}^{3} /\left(\right.$ slug $\left.\cdot \mathrm{s}^{2}\right)$ is the universal gravitational constant. Problem 12.82 If the spheres are released from rest, determine (a) The velocity of $B$ (as seen by $A$ ) as a function of the distance $r$ . (b) The velocity of $B$ (as seen by $A$ ) at impact if $r_{0}=7 \mathrm{ft}$ , the weight of $A$ is 2.1 lb , the weight of $B$ is 0.7 lb , and (i) The diameters of $A$ and $B$ are $d_{A}=1.5 \mathrm{ft}$ and $d_{B}=1.2 \mathrm{ft}$ , respectively. (ii) The diameters of $A$ and $B$ are infinitesimally small. Answer (a) $\dot{r}=-\sqrt{2 G\left(m_{A}+m_{B}\right)} \sqrt{\frac{r_{0}-r}{r_{0}}}$ ; (b) (i) $\dot{r}=-5.98 .0 \times 10^{-5} \mathrm{ft} / \mathrm{s}$ , (ii) $\dot{r} \rightarrow-\infty$
Problem 12.83 Assume that the particles are released from rest at $r=r_{0}$ . (a) Determine the expression relating their relative position $r$ and time. Hint: $\int \sqrt{x /(1-x)} d x=\sin ^{-1}(\sqrt{x})-\sqrt{x(1-x)}$ (b) Determine the time it takes for the objects to come into contact if $r_{0}=3 \mathrm{~m}, A$ and $B$ have masses of 1.1 and 2.3 kg , respectively, and (i) The diameters of $A$ and $B$ are $d_{A}=22 \mathrm{~cm}$ and $d_{B}=15 \mathrm{~cm}$ , respectively. (ii) The diameters of $A$ and $B$ are infinitesimally small.

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Problem 685

A total of 560 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold? adult tickets

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Problem 686

Alexandra paid $\$ 7$ to park her car for 3 hours at the parking garage. The garage charges a constant hourly parking rate.
Write an equation that shows the relationship between $p$ , the number of hours parked, and $c$ , the cost in dollars. Do NOT use a mixed number. $\square$

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Problem 687

Justin runs at a constant rate, traveling 17 km in 2 hours. Write an equation that shows the relationship between $d$ , the distance he runs in kilometers, and $h$ , the time he spends running in hours. Do NOT ise a mixed number. $\square$

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Problem 688

Find the $x$ - and $y$ -intercepts for the function. $f(x)=\frac{x+1}{x^{2}+9}$
Enter your answers as points, $(a, b)$ .
The $x$ -intercept is $\square$ 田.
The $y$ -intercept is $\square$ 固
Show your work and explain, in your own words, how you arrived at your answers.

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Problem 689

7. Ellen's dad spends $\$ 5$ a week on newspapers. a) How much less newspaper money will he have 8 weeks from now?

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Problem 690

Wangari plants trees at a constant rate of 12 trees every 3 hours. Write an equation that relates $p$ , the number of trees Wangari plants, and $h$ , the time she spends planting them in hours. $\square$

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Problem 691

Alice can wash and wax her car in 3 hour and 30 minutes. If Bernice helped her, Alice could do the job in 2 hours. How long would it take Bernice working alone?

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Problem 692

It takes 338. $\mathrm{kJ} / \mathrm{mol}$ to break an carbon-chlorine single bond. Calculate the maximum wavelength of light for which an carbon-chlorine single bond could be broken by absorbing a single photon.
Be sure your answer has the correct number of significant digits. $\square$ nm

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Problem 693

Tell whether the order pair is a solution to the given equation
38. $y=-3 x ;(4,-13)$
39. $y=3 x-2 ;(-1,-5)$

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Problem 694

Points: 0 of 1 Save
Calculate the limit in the following exercise, using a table. Verify your answer by using a graphing calculator. $\lim _{x \rightarrow-10} \frac{x^{2}-100}{x+10}$
Let $f(x)=\frac{x^{2}-100}{x+10}$ . Complete the table below. $\begin{array}{lllllll} \mathbf{x} & -10.1 & -10.01 & -10.001 & -9.999 & -9.99 & -9.9 \\ \mathbf{f}(\mathrm{x}) & \square & \square & \square & \square & \square & \square \end{array}$ (Round to three decimal places as needed.)

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Problem 695

3) Find the area of the region bounded by $f(x)=2 e^{2 x}, g(x)=e^{2 x}+1$ and $[-1,2]$ . (a) Find points of intersection/s. (b) In the interval $[-1,2]$ find which integral is above and which is below. (c) Write the integral to find the area inside $[-1,2], f(x)=2 e^{2 x}$ and $g(x)=e^{2 x}+1$ . No need to integrate.

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Problem 696

3. Maggie spent $\$ 4.05$ on cheese and fruit at the farmer's market. She bought $\frac{1}{8}$ pound of apples, $\frac{1}{4}$ pound of pears, and 1.25 pounds of bananas. If fruit cost $\$ 0.80$ per pound, how much did Maggie spend on cheese?

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Problem 697

Part A
Rolls of foil are 308 mm wide and 0.013 mm thick. (The density of foil is $2.7 \mathrm{~g} / \mathrm{cm}^{3}$ .) What maximum length of foil can be made from 1.26 kg of foil? Express the length to two significant figures and include the appropriate units.

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Problem 698

Write an equation for a rational function with the given characteristics.
Vertical asymptotes at $x=-3$ and $x=6, x$ -intercepts at $(-5,0)$ and $(3,0)$ , horizontal asymptote at $y=-6$
Enclose numerators and denominators in parentheses. For example, $(a-b) /(1+n)$ .
Include a multiplication sign between symbols. For example, $a^{*} x$ .

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Problem 699

Consider the arithmetic series $2+5+8+\ldots$ . Determine the number of terms of the series required to give a sum of 222 by developing and solving a quadratic equation,

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Problem 700

4. Suppose a manufacturer of shoes will place on the market 50 pairs when the price is K35 and 35 pairs when the price is K2O. a) Find the supply function in the form $P=f(Q)$ and sketch its graph. b) What will be P when $Q=85$ ?

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Word Problem

Problem 601

Whe the decimal as a fraction or a mixed number White your ansucr in singleat font 04 0.4=0.4=0.4= □\square□ (Simplify your ansmer)

Problem 602

Question Show Examples Point TTT is on line segment SU‾\overline{S U}SU. Given SU=18S U=18SU=18 and TU=10T U=10TU=10, determine the length ST‾\overline{S T}ST.Answer ST=S T=ST= □\square□ Submit Answer

Problem 603

Show Examples Question Point UUU is on line segment TV‾\overline{T V}TV. Given UV=4U V=4UV=4 and TU=3T U=3TU=3, determine the length TV‾\overline{T V}TV.Answer TV=T V=TV= Submit Answer Sep 8 12:15 INTL

Problem 604

Show ExamplesPoint GGG is on line segment FHF HFH. Given GH=7G H=7GH=7 and FG=3F G=3FG=3, determine the length FH‾\overline{F H}FH.AnswerFII === □\square□ sulhimil Aiswer

Problem 605

Use the group number to determine the charge on an ion derived from each element.Part 1 of 4Cesium: (Choose one) □\square□Part 2 of 4Strontium: (Choose one) □\square□Part 3 of 4Nitrogen: □\square□ (Choose one)

Problem 606

Problem 607

(c) i. Calculate the intrinsic concentration of charge carriers at 300 K , given me∗=0.12m0,mh∗=m_{e}^{*}=0.12 m_{0}, m_{h}^{*}=me∗​=0.12m0​,mh∗​= 0.28m00.28 m_{0}0.28m0​ and the value of energy band gap Eg=0.67eVE_{g}=0.67 \mathrm{eV}Eg​=0.67eV.

Problem 608

The sum of 3 consecutive integers is 42. Which integers are they? □\square□ □\square□ ,Submit □\square□

Problem 609

Problem 610

Problem 611

Insent <,><,><,> of = befween the pair of numbers to form a true statement 0.550 .56

Problem 612

39. MODELING REAL LIFE The map shows the intersections of three roads. Malcom Way intersects 7 Sydney Street at an angle of 162∘162^{\circ}162∘. Park Road intersects Sydney Street at an angle of 87∘87^{\circ}87∘. Find the angle at which Malcom Way intersects Park Road.

Problem 613

Problem 614

What is cot⁡(−3π4)\cot \left(-\frac{3 \pi}{4}\right)cot(−43π​) ? [?][?][?]

Problem 615

45. MAKING AN ARGUMENT Is it possible for a straight angle to consist of two obtuse angles? Explain your reasoning.

Problem 616

Problem 617

Problem 618

(e) 0.030 .In your top dresser drawer are 6 blue socks and 10 grey socks, unpaired and mixed up. One dark morning you pull two socks from the drawer (without replacement, of course!). What is the probability that the two socks match? (a) 0.075 (b) 0.375 (c) 0.450 (d) 0.500 (e) 0.550

Problem 619

Problem 620

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is $940\$ 940$940 and the annual interest rate is 2.6%2.6 \%2.6% ? Interest = $[?]\text { Interest = } \$[?] Interest = $[?]Round your answer to the nearest hundredth.

Problem 621

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is $680\$ 680$680 and the annual interest rate is 3.6%3.6 \%3.6% ?Interest = \? ? ?\square$ Round your answer to the nearest hundredth.

Problem 622

Problem 623

11.) Mr. Smith is having some photos enlarged for his studio. He wants to enlarge a photo that is 5 inches by 7 inches so the dimensions are 3 times larger than the original. How many times larger than the original photo will the area of the new photo be?

Problem 624

Problem 625

Question 2The Cell Cycle consists of the following phases: (A) G1 (B) S phase (C) G2 (D) MMM phase (E) All of the above

Problem 626

Problem 627

Problem 628

Problem 629

Problem 630

Kelly has a special savings account she uses to save for her next vacation. Yesterday, she deposited $65\$ 65$65 in that account.What integer represents the change in Kelly's account balance? □\square□ dollars

Problem 631

Problem 632

Question 10 of 10 Which of these is true about coping skills? They help you make the fastest choice. They help with just simple emotions. You can develop coping skills with practice. You can only use one coping skill to calm down.

Problem 633

Problem 634

units. If management implements the new pricing strategy. profitability will

Problem 635

Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar.How much soy sauce does Bonnie mix with every 1 milliliter of vinegar? \qquad milliliters How much vinegar does Bonnie mix with every 1 milliliter of soy sauce? □\square□ milliliters

Problem 636

Problem 637

Problem 638

Find the slope of the line containing the points (3,5)(3,5)(3,5) and (1,3)(1,3)(1,3).

Problem 639

Problem 640

Problem 641

Problem 642

Problem 643

Problem 644

Problem 645

Problem 646

Problem 647

QuestionWhich equation has the solution x=7x=7x=7 ?Answer 4x−3=−254 x-3=-254x−3=−25 5x−4=315 x-4=315x−4=31 8x+8=1048 x+8=1048x+8=104 6x−4=56 x-4=56x−4=5

Problem 648

Which equation has the solution x=3x=3x=3 ?Answer 2x−2=42 x-2=42x−2=4 7x−7=−147 x-7=-147x−7=−14 6x−4=866 x-4=866x−4=86 8x+2=468 x+2=468x+2=46

Problem 649

Problem 650

Problem 651

Problem 652

Problem 653

Problem 654

Write the equation of the vertical line through the point (9,−6)(9,-6)(9,−6).The equation of the line is □\square□ (Simplify your answer. Type an equation using x and y as the variables.)

Problem 655

Whe the decimal as a fraction or a mixed number White your ansucr in singleat font 04 $0.4=$ $\square$ (Simplify your ansmer)

Question Show Examples Point $T$ is on line segment $\overline{S U}$ . Given $S U=18$ and $T U=10$ , determine the length $\overline{S T}$ .
Answer $S T=$ $\square$ Submit Answer

Show Examples Question Point $U$ is on line segment $\overline{T V}$ . Given $U V=4$ and $T U=3$ , determine the length $\overline{T V}$ .
Answer $T V=$ Submit Answer Sep 8 12:15 INTL

Show Examples
Point $G$ is on line segment $F H$ . Given $G H=7$ and $F G=3$ , determine the length $\overline{F H}$ .
Answer
FII $=$ $\square$ sulhimil Aiswer

Use the group number to determine the charge on an ion derived from each element.
Part 1 of 4
Cesium: (Choose one) $\square$
Part 2 of 4
Strontium: (Choose one) $\square$
Part 3 of 4
Nitrogen: $\square$ (Choose one)

(c) i. Calculate the intrinsic concentration of charge carriers at 300 K , given $m_{e}^{}=0.12 m_{0}, m_{h}^{}=$ $0.28 m_{0}$ and the value of energy band gap $E_{g}=0.67 \mathrm{eV}$ .

The sum of 3 consecutive integers is 42. Which integers are they? $\square$ $\square$ ,
Submit $\square$

Insent $<,>$ of = befween the pair of numbers to form a true statement 0.550 .56

39. MODELING REAL LIFE The map shows the intersections of three roads. Malcom Way intersects 7 Sydney Street at an angle of $162^{\circ}$ . Park Road intersects Sydney Street at an angle of $87^{\circ}$ . Find the angle at which Malcom Way intersects Park Road.

What is $\cot \left(-\frac{3 \pi}{4}\right)$ ? $[?]$

(e) 0.030 .
In your top dresser drawer are 6 blue socks and 10 grey socks, unpaired and mixed up. One dark morning you pull two socks from the drawer (without replacement, of course!). What is the probability that the two socks match? (a) 0.075 (b) 0.375 (c) 0.450 (d) 0.500 (e) 0.550

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is $\$ 940$ and the annual interest rate is $2.6 \%$ ? $\text { Interest = } \$[?]$
Round your answer to the nearest hundredth.

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is $\$ 680$ and the annual interest rate is $3.6 \%$ ?
Interest = \ $?$ \square$ Round your answer to the nearest hundredth.

Question 2
The Cell Cycle consists of the following phases: (A) G1 (B) S phase (C) G2 (D) $M$ phase (E) All of the above

Kelly has a special savings account she uses to save for her next vacation. Yesterday, she deposited $\$ 65$ in that account.
What integer represents the change in Kelly's account balance? $\square$ dollars

Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar.
How much soy sauce does Bonnie mix with every 1 milliliter of vinegar? $\qquad$ milliliters How much vinegar does Bonnie mix with every 1 milliliter of soy sauce? $\square$ milliliters

Find the slope of the line containing the points $(3,5)$ and $(1,3)$ .

Question
Which equation has the solution $x=7$ ?
Answer $4 x-3=-25$ $5 x-4=31$ $8 x+8=104$ $6 x-4=5$

Which equation has the solution $x=3$ ?
Answer $2 x-2=4$ $7 x-7=-14$ $6 x-4=86$ $8 x+2=46$

Write the equation of the vertical line through the point $(9,-6)$ .
The equation of the line is $\square$ (Simplify your answer. Type an equation using x and y as the variables.)

The points $\mathrm{A}(4,6), \mathrm{B}(-5,6)$ , $\mathrm{C}(-9,-3)$ , and $\mathrm{D}(0,-3)$ form parallelogram $A B C D$ . Plot the points then click the "Graph Quadrilateral" button. Then find the area of the parallelogram.

Isotopes of an atom differ in
Multiple Choice their atomic number. their atomic mass. their number of electrons. their ability to form lons.

Elements that differ in their $\qquad$ are known as isotopes.
Multiple Choice proton number electron number neutron number type of bonds atomic number

skipped part.
Tutorial Exercise each profit (in dollars). (a) What is the cost function? (b) What is the revenue function? (c) What is the profit function? (d) Compute the profit (loss) corresponding to production levels of 9,000 and 12,000 units. Click here to begin! Submit Answer

Find the length of segment $A C$ if $A B=6, B C=10$ and $B$ is between $A$ and $C$ 4 6 60 $-4$ 16

Question
The diameter of a circle is 3 in . Find its area to the nearest hundredth.
Answer Attempt 1 out of 2 $A=$ $\square$ in $^{2}$ Submit Answer

"The sum of 5 and $x$ is multiplied by 2 . The result is then taken away from 18. ." Write an algebraic expression to represent this description.
You don't need to simplify the expression.