Browse Math problems Studdy Solved!

Problem 51601

A company is planning to manufacture snowboards. The fixed costs are $\$ 400$ per day and total costs are $\$ 5400$ per day at a daily output of 20 boards. (Do not factor.) B. The average cost per board for an output of $x$ boards is given by $\bar{C}(x)=C(x) / x$ . Find the average cost function. $\bar{C}(x)=\frac{400}{x}+250$ (Do not factor.) C. Sketch a graph of the average cost function, including any asymptotes, for $1 \leq x \leq 30$ . Choose the correct graph below. A. B. C. D. D. What does the average cost per board tend to as production increases? \\square$

See Solution

Problem 51602

Università degli Studi di Catania Corso di Laurea in Scienze e Tecnologie Alimentari Prova in Itinere Scritta di Matematica e Statistica
Esibire documento d'identità. Durata della prova: 3 ore. Non è permesso allontanarsi dall'aula prima della consegna. È severamente vietato l'utilizzo di accessori elettronici di qualunque forma ed utilità ad eccezione delle calcolatrici non grafiche. Inoltre è vietato l'utilizzo di pizzini o fogli bianchi.
Esercizi Tipo B
1. Determinare il campo di esistenza delle seguenti funzioni: (a) $f(x)=\frac{1}{1-\sqrt{3 x-2 x^{2}-2}}$ (b) $f(x)=\log \left(\frac{2+x^{2}-3 x}{3 x+1}\right)+\frac{2}{2+2 x}$
2. Dati i vertici $A(-1,0), B(-3,3)$ e $C(1,1)$ , calcolare l'area del triangolo utilizzando la formula: $S=\frac{b h}{2}$ dove $b$ è la base ed $h$ l'altezza. (p.7)
3. Calcolare gli asintoti della seguente funzione $f(x)=\frac{x+1}{x^{2}-1}$
4. Dati due insiemi $A=\{x \in \mathbb{R}: 10 \geq x>2\}$ e $B=\left\{x \in \mathbb{R}: \frac{7}{3}>x \geq \frac{9}{8}\right.$ , determinare $A \cup B, A \cap B, A \backslash B$ ed $A \backslash B$ .
5. Determinare i seguenti-limiti a) $\lim _{x \rightarrow 0} \frac{\sin \left(x^{2}\right)}{1-\cos (x)}$ b) $\lim _{x \rightarrow+\infty} \frac{2 x^{2}-1}{2+x^{2}}$

See Solution

Problem 51603

3. Tipo 3: Equaçöes Exponenciais com Logaritmos
Resolva: a) $3^{\log _{8}(x)}=81$ . Estratégia: Reduza a base: $3^{\log _{9}(x)}=3^{4} \Longrightarrow \log _{3}(x)=4$ . b) $5^{2 x}=25^{x+1}$
Estratégia: Transforme $25-5^{2}: 5^{2 x}-5^{2 x+1)}$

See Solution

Problem 51604

Simplify the expression: $-\frac{1}{2}+\frac{2}{5}+\left(-\frac{3}{10}\right)-\frac{3}{4}$

See Solution

Problem 51605

2. Дан треугольник $A B C: A(2 ; 3), B(6 ;-5), C(0 ; 0)$ . Составьте уравнение средней линии $M N$ , где $M$ и $N$ - середины сторон $A B$ и $B C$ соответственно.
3. Для данной системы векторов

See Solution

Problem 51606

13. At 5:30 p.m., the temperature in Antarctica is $-60^{\circ} \mathrm{F}$ . At 11:30 p.m., the temperature is $15^{\circ}$ cooler. What is the temperature at $11: 30$ p.m.? $\qquad$

See Solution

Problem 51607

For the right triangles below, find the exact values of the side lengths $a$ and $d$ . If necessary, write your responses in simplified radical form. $a=$ $\square$ $d=$ $\square$

See Solution

Problem 51608

The following graph is the result of applying a sequence of transformations to the graph of one of the six basic functions. Identify the basic function and write an equation for the given graph.
Identify the basic function: A. Identity function $f(x)=x$ B. Absolute value function $g(x)=|x|$ C. Square root function $n(x)=\sqrt{x}$ D. Square function $h(x)=x^{2}$ E. Cube root function $p(x)=\sqrt[3]{x}$ F. Cube function $m(x)=x^{3}$

See Solution

Problem 51609

sell? $\qquad$
11. Samantha wants to find the sum of $5 / 8-4 / 9+5 / 24$ by using the least common denominator (LCD) of the three fractions. The LCD of the fractions in the expressions is $\frac{5}{8}-\frac{4}{9}+\frac{5}{3}$

See Solution

Problem 51610

II. Answer the following questions:
1. If the thermometer consistently displays a temperature of $0.2^{\circ} \mathrm{C}$ lower than the actual temperature throughout the experiment, what effect, (i.e., too high, too low, or no effect) would this have on the calculated molar mass of the unknown? Explain your answer. Any error is the
2. If the freezing point of the solution had been incorrectly read as $0.3^{\circ} \mathrm{C}$ lower than its true freezing point and the freezing point of the pure solvent was correctly read, what effect (i.e., too high, too low, or no effect) would this have on the calculated molar mass of the unknown? Explain.
3. Calcium chloride, $\mathrm{CaCl}_{2}$ , is commonly used as road salt. If one mole of $\mathrm{CaCl}_{2}$ is dissolved in 1 kg of water, would the freezing point of the solution be greater than, less than, or the same as a solution prepared by dissolving one mole of table sugar (or sucrose), $\mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11}$ , in 1 kg of water? Explain.

See Solution

Problem 51611

12. Amelia's scale drawing of the headboard on her bed is shown below. If 4 inches $=2$ feet on the real headboard, what is the actual length of the headboard? (Use a proportion to solve) A. 3.2 feet B. 3.4 feet C. 6.4 feet D. 8.4 feet

See Solution

Problem 51612

Drag each tile to the correct box. Not all tiles will be used.
A baker is experimenting with a new brand of yeast. He bakes his first batch of bread using the old brand of yeast that he usualy uses and a second batch using the new brand of yeast.
After baking both batches of bread, he compares the height, texture, and taste of each batch. Match the terms with the correct descriptions in the context of this scenario. new brand of yeast the baker second batch frist batch height, texture, and taste old brand of yeast explanatory variable contrel group response variable

See Solution

Problem 51613

Explain why an object moving in a circle at a constant speed is accelerated.

See Solution

Problem 51614

An athlete whirls a 7.00 kg hammer tied to the end of a 1.3 m chain in a horizontal circle. The hammer revolves at a frequency of 1.5 Hz . (a) What is the speed of the hammer? (b) What is the centripetal acceleration of the hammer? (c) Ignoring the effect of gravity, what is the tension in the chain?

See Solution

Problem 51615

a. In testing the common belief that the proportion of male babies is equal to 0.512 , identify the values of $\hat{p}$ and $p$ . $\hat{p}=$ $\square$ $\mathrm{p}=$ $\square$ (Round to three decimal places as needed.) (Round to three decimal places as needed.) A. Those that are both grester than or equal to $\square$ and less than or equal to $\square$ B. Those that are greater than or equal to $\square$ C. Those that are less than or equal to $\square$ D. Those that are less than or equal to $\square$ and those that are greater than or equal to $\square$ -
There $\square$ sufficient evidence to $\square$ the claim that the proportion of male births is equal to 0.512 .

See Solution

Problem 51616

50 дм $=\square \mathrm{m}$

See Solution

Problem 51617

UUESTION TWO (20 MARKS) The following data relate to advertisement expenditure(in thousands of shillings) and their correspondin sales( in a hundred thousand shillings) \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline Advertisement Expenditure & 40 & 50 & 38 & 60 & 65 & 50 & 35 \\ \hline Sales & 38 & 60 & 55 & 70 & 60 & 48 & 30 \\ \hline \end{tabular} a) Fit a linear regression equation for sales on advertisement expenditure. (6 marks) a) Estimate the sales corresponding to advertising expenditure of KES 30, 000. (2 marks) b) Determine the Pearson's correlation coefficient. (5 marks) c) Compute the coefficient of determination. (2 marks) d) Obtain the Analysis of Variance (ANOVA) table. (6 marks)
OUESTION THREE (20 MARKS)

See Solution

Problem 51618

rieți rezolvările complete.
1. In triunghiul $A B C, A D \perp B C, D \in B C$ , iar punctele $M, N$ și $P$ sunt mijloacele laturilor $A B, A C$ , respectiv $B C$ . Demonstrați că $M N P D$ este trapez isoscel.

See Solution

Problem 51619

3)
Which polynomial function has zeros at $-3,0$ , and 4 ? 1) $f(x)=(x+3)\left(x^{2}+4\right)$ 2) $f(x)=\left(x^{2}-3\right)(x-4)$ 3) $f(x)=x(x+3)(x-4)$ 4) $f(x)=x(x-3)(x+4)$ 4)
Explain how to determine the zeros of $f(x)=(x+3)(x-1)(x-8)$ . State the

See Solution

Problem 51620

$|-4+5 x|=16$ $\{16 / 5,12 / 5\}$ $\{-12 / 5,4\}$ $\{4,-5\}$
4

See Solution

Problem 51621

4)
Explain how to determine the zeros of $f(x)=(x+3)(x-1)(x-8)$ . State the zeros of the function.

See Solution

Problem 51622

5. Аль нь ч тэгтэй тэнцдэггүй $a, b, c$ бүхэл тоонууд $3 a b c=a+b+c+6$
нөхцөлийг хангадаг. Ийм бүх эрэмбэлэгдсэн $(a, b, c)$ гуравтын тоог ол.
Хариу: 6

See Solution

Problem 51623

OUESTION FIVE( 20 MARKS) (5 marks) a) Suppose you play a game that you can only either win or lose. The probability that you win game is $55 \%$ , and the probability that you lose is $45 \%$ , what is the probability that you win; i) 15 times if you play the game 20 times? (3 marks) ii) between 16 and 18 of all 20 games? (3 marks) b) Suppose a given website receives an average of 20 visitors per hour. What is the probability that number of visitors received by the website is; i) At least 4 in an hour? (2 marks) ii) Exactly 15 in three hours? (3 marks) c) The final exam scores in a statistics class were normally distributed with a mean of 63 an standard deviation of 5 . i) Find the probability that a randomly selected student scored more than 65 or * Google Chrome

See Solution

Problem 51624

3. 6 . Find the resistance at 20 oC of an annealed copper bus bar 2 m long and 1 cm by 4 cm in rectangular cross section. Ans. $86 \mu \Omega$ .

See Solution

Problem 51625

19. A battery that produces 6 V on open circuit produces $5,4 \mathrm{~V}$ when delivering 6 A . What is internal resistance of the battery? Ans. $0,1 \Omega$

See Solution

Problem 51626

$\frac{r^{15}}{r^{17}}$

See Solution

Problem 51627

Problem 3. An electric heater consumes 1.8 MJ when connected to a 250 V supply for 30 minutes. Find the power rating of the heater and the current taken from the supply. Ans. 1kW; 4A.

See Solution

Problem 51628

дана геометрическая прогрессия -1, -5, -25... найти b13 и S20

See Solution

Problem 51629

15. Find the equivalent resistance of four parallel resistors of $2,4,6$ and $8 \Omega$ . Ans. $0,96 \Omega$ .

See Solution

Problem 51630

$\left(x^{9}\right)^{-1}$

See Solution

Problem 51631

$\left(x^{2}\right)^{0}$

See Solution

Problem 51632

1. An acre of land is 43,560 square feet. You have 10 acres of land. How many square feet are in the field?
The field is 435,600 square feet
2. If the length of the field is 1,000 feet long, how wide is the field?

See Solution

Problem 51633

$\qquad$ 12. Value of marginal product is defined as the additional a. revenue earned from selling one more unit of product. b. output a firm would receive after hiring one more unit of a factor of production. c. cost of hiring one more unit of a factor of production. d. revenue earned from hiring one more unit of a factor of production.

See Solution

Problem 51634

2. Ethan buys a pair of jeans online for $\$ 22$ . After the shipping charge is added, the new total is $\$ 25.52$ . What is the percent increase in the cost of the jeans due to the shipping charge?
3. A restaurant manager decides to decrease the size of the soft drink cups by $10 \%$ . The new drink cup holds 27 ounces. How much did the original cup hold?
In July, Noor's family used 12,568 gallons of water. In August, they used 11,562 gallons fater. What is the percent decrease in the family's water usage? Round your answer to earest percent.

See Solution

Problem 51635

A line passes through the points in this table. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 2 & 12 \\ \hline 3 & 17 \\ \hline 4 & 22 \\ \hline 5 & 27 \\ \hline \end{tabular}
What is the slope of the line? Write your answer as an integer or simplified fraction. $\square$

See Solution

Problem 51636

Which of the following would find the sum of the first 10 terms of the given sequence? $2,4,6, \ldots$

See Solution

Problem 51637

Calculate the gradient of $f(x, y)=x y$ at $(x, y)=(1,2)$ . $\nabla f(1,2)=$ $\square$

See Solution

Problem 51638

) A line passes through the points in this table. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 2 & -10 \\ \hline 5 & 8 \\ \hline 8 & 26 \\ \hline 11 & 44 \\ \hline \end{tabular}
What is the slope of the line? Write your answer as an integer or simplified fraction. $\square$

See Solution

Problem 51639

The table below shows the energy of a 10 kg ball as a function of velocity. How much energy will the ball have at $10 \mathrm{~m} / \mathrm{s}$ ? (Type the number, do not include units in your answer) \begin{tabular}{|c|c|} \hline Velocity $(\mathrm{m} / \mathrm{s})$ & Energy (Joules) \\ \hline 0 & 0 \\ \hline 2 & 20 \\ \hline 3 & 45 \\ \hline 6 & 180 \\ \hline 10 & $?$ \\ \hline \end{tabular}

See Solution

Problem 51640

A line passes through the points in this table. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 1 & 4 \\ \hline 3 & 20 \\ \hline 7 & 52 \\ \hline 8 & 60 \\ \hline \end{tabular}
What is the slope of the line? Write your answer as an integer or simplified fraction. $\square$

See Solution

Problem 51641

1. Resuelva el siguiente sistema por el método de Gauss $\begin{array}{l} 2 x-3 z=-8 \\ 4 y+z=-8 \\ 3 x+5 y=-9 \end{array}$

See Solution

Problem 51642

What is the slope of the line? A) $\frac{5}{3}$ (B) $\frac{3}{5}$ (C) $-\frac{5}{3}$ (D) $-\frac{3}{5}$

See Solution

Problem 51643

A line passes through the points in this table. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 25 & -35 \\ \hline 35 & -43 \\ \hline 45 & -51 \\ \hline 55 & -59 \\ \hline \end{tabular}
What is the slope of the line? Write your answer as an integer or simplified fraction. $\square$

See Solution

Problem 51644

Find an equation of the line through $(3,7)$ and parallel to $y=4 x-2$ . Write the equation using function notation. $f(x)=$

See Solution

Problem 51645

and moon seen by Galileo Spacecraft. Image credit: NASA
Complete the following equation to determine the force that Earth and the moon exert on each other: $F=$ $\square$ $\times$ $\square$ $\times \mathrm{m}_{2}$ $\square$ $2=$ $\square$ F
Where $\mathrm{m}_{2}$ is the mass of Earth.
Use what you know about calculating gravitational potential energy to correctly set up and solve the equation. Save Submit

See Solution

Problem 51646

Which best describes the triangle? obtuse and isosceles acute and scalene right and isosceles acute and isosceles

See Solution

Problem 51647

Factor the following polynomial by grouping. $a b+5 a+2 b+10$

See Solution

Problem 51648

7. $b+9-2 b=6$

See Solution

Problem 51649

Solve $2 \sin x-\csc x=0$ for $0 \leq x \leq 2 \pi$ ANS: $\frac{\pi}{4}, \frac{3 \pi}{4}, \frac{5 \pi}{4}, \frac{7 \pi}{4}$

See Solution

Problem 51650

quatriateral below. Answer Attempt 1 out of 2 90° pon that most specifically applies to the 90° 23 15 15 90° 23 The quadrilateral is most specifically a 90° V because

See Solution

Problem 51651

4. Standard 15 Suppose the mean commute time among all NKU students is 27.3 minutes with a standard deviation of 9.38 minutes. Consider samples of 49 NKU students for which the sample mean is calculated. A. Fully describe the sampling distribution of the sample mean.

See Solution

Problem 51652

5 For a $90 \%$ confidence interval for proportion $p$ , with $n=100$ and $x=38$ a. Determine $\mathbf{Z}_{\alpha 2}$ , p-hat, and E . b. State and interpret the resultant $90 \%$ confidence interval.

See Solution

Problem 51653

17. $\frac{4\left(\cos 150^{\circ}+i \sin 150^{\circ}\right)}{2\left(\cos 120^{\circ}+i \sin 120^{\circ}\right)}$

See Solution

Problem 51654

Please show your answer to 4 decimat places. Find the direction in which the maximum rate of change occurs for the function $f(x, y)=5 x \sin (x y)$ at the point $(3,5)$ . Give your answer as a unit vector.

See Solution

Problem 51655

The general equation for depreciation is given by $y=A(1-r)^{t}$ , where $y=$ current value, $A=$ original cost, $r=$ rate of depreciation, and $t=$ time, in years. A car was purchased 6 years ago for $\$ 25,000$ . If the annual depreciation rate is $11 \%$ , which equation can be used to determine the approximate current value of the car? $y=25.000(0.89)^{6}$ $y=(25,000 \cdot 0.11)^{6}$ $y=(25,000-0.89)^{6}$ $y=25,000(0.11)^{6}$

See Solution

Problem 51656

11. $-11 x-4>-15$
12. $\frac{-9+a}{15}>1$
13. $-1 \leq \frac{v-2}{21}$
14. $-132>12(n+9)$
15. $\frac{-11+n}{15}<-1$
16. $-90 \geq-5(k-3)$
17. $4<1+n / 7$
18. $-1>3+x / 4$
19. $7 n-1>-169$

See Solution

Problem 51657

How would you describe the relationship between the real zeros and $x$ -intercepts of the function $y=\log _{4}(x-2)$ ? When you set the function equal to zero, the solution is $x=6$ ; therefore, the graph has an $x$ -intercept af $x=6$ . When you substitute $x=0$ into the function there is no solution; therefore, the graph will not have any $x$ -intercepts. Since there is an asymptote at $x=2$ , the graph will not have an $x$ -intercept; therefore, the function will have no real zeros. When you set the function equal to zero, the solution is $x=3$ ; therefore, the graph has an $x$ -intercept at $x=3$ . Mark this and retum Save and Exit Next Submit

See Solution

Problem 51658

$2|x|-|3 x+1|<4$

See Solution

Problem 51659

What are the values of $a_{1}$ and $r$ of the geometric series? $2-2+2-2+2$ $a_{1}=2$ and $r=-2$ $a_{1}=-2$ and $r=2$ $a_{1}=-1$ and $r=2$ $a_{1}=2$ and $r=-1$

See Solution

Problem 51660

Question \# 2: $\qquad$ A) Find the equation of the tangent line to the curve $y=\left(x^{2}+3\right) \tan (x)$ at the point $(0,0)$

See Solution

Problem 51661

4. Jika $\int_{1}^{4} f(x) \mathrm{d} x=6$ , maka nilai $\int_{1}^{4} f(5-x) \mathrm{d} x=\cdots$

See Solution

Problem 51662

25. Nilai $y$ yang memenuhi persamaan $\int_{0}^{\sqrt{2 \log (5 y+1)}} 3 x \sqrt{-2 x^{2}+9} \mathrm{~d} x=13$ adalah ... A. 1 C. 3 E. 5 B. 2 D. 4

See Solution

Problem 51663

Solve.
Assignments. The professor teaching Introduction to Sociology gives points for each discussion-board post and points for each reply to a post. Ana wrote 3 posts and 10 replies and received 95 points. Jae wrote 8 posts and 1 reply and received 125 points. Determine how many points a discussion post is worth and how many points a reply is worth.

See Solution

Problem 51664

3. Which table has a slope that is the same as the slope of the line represented by the equation $y=2 x+1$ ? $x y$ -27 3-8 $x y$ -1-7 43 $x y$ -22 24 $x y$ -2 2 4-1

See Solution

Problem 51665

A box has four cards numbered $1,2,3$ , and 4 . Aldo will toss a coin once and record the toss as heads $(H)$ or tails $(T)$ . Then he will randomly pick a card from the box and record the number chosen. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event that the number chosen is 4 . Use the format H 1 to mean that the coin toss is heads and the number chosen is 1 . If there is more than one element in the set, separate them with commas.
Sample space: $\square$ ㅁㅁ,...
Event that the number chosen is 4 : $\square$ ）

See Solution

Problem 51666

Instructions:
1. Answer the following questions by solving the required.
2. Show all solutions.
3. Draw a box around your final answers.
Format: Short Bond Paper with 1" Margin (Use specified color) Submission: December 5, 2024 RUBRICS \begin{tabular}{|c|l|} \hline POINTS & CRITERIA \\ \hline 10 & \begin{tabular}{l} The student presents correct, complete, neat, and well-organized solutions and \\ answers. \end{tabular} \\ \hline 6 & The student demonstrates at least $50 \%$ of the correct solution. \\ \hline 3 & \begin{tabular}{l} The student applies the correct methodology and concepts to approach the \\ problem but largely fails to provide a correct solution. \end{tabular} \\ \hline 0 & \begin{tabular}{l} The student either fails to provide a solution or applies inappropriate methods and \\ incorrect concepts in attempting to solve the problem. \end{tabular} \\ \hline \end{tabular}
1. Solve for the volume of a prism whose base is a trapezoid with upper base 3 times the length of the lower base and an altitude which is 4 times the length of the lower base.
2. Given a right circular cylinder whose volume is a $256 \pi$ and an altitude of 4 times the radius of the base, find the lateral surface area.
3. A circle with perimeter $8 \pi$ is rotated to create a sphere. Determine the surface area and volume of the circle.
4. A frustum from a right circular cone has an upper diameter of 5 cm , bottom diameter of 11 cm and an altitude of 4 cm . Determine the lateral surface area and the volume of the frustum.

See Solution

Problem 51667

Which equation represerts the partial sum of the geometric series? $\sum_{n=1}^{4}(125)\left(\frac{1}{5}\right)^{n-1}$ $125+25+5+1$ $75+5-1+\frac{1}{5}$ $1+\frac{1}{5}+\frac{1}{25}+\frac{1}{125}$ $\frac{1}{125}+\frac{1}{5}+5=125$

See Solution

Problem 51668

Rationalize the denominator. $\frac{\sqrt{3}}{\sqrt{5}}$

See Solution

Problem 51669

A scientist has discovered an organism that produces five offspring exactly one hour after its own birth, and then goes on to live for one week without producing any additional offspring. Each replicated organism also replicates at the same rate. At hour one, there is one organism. At hour two, there are five more organisms. How many total organisms are there at hour seven? 2,801 19,531 19,607 97,655

See Solution

Problem 51670

$\text{Solve for the volume of a prism whose base is a trapezoid with upper base 3 times the length of the lower base and an altitude which is 4 times the length of the lower base.}$

See Solution

Problem 51671

Question 1: Determine whether each of the following sentences is TRUE or FLASE. \begin{tabular}{|r|l|c|} \hline $\#$ & \multicolumn{1}{|c|}{ Sentence } & T/F \\ \hline 1. & Low level languages use symbols such as, $+<,>$ , etc..... & \\ \hline 2. & \begin{tabular}{l} The first stage in SDLC is called program logic because we follow logical order \\ in writing a solution \end{tabular} & \begin{tabular}{l} The first stage in SDLC is called program logic because we follow logical order \\ in writing a solution \end{tabular} \\ \hline 4. & \begin{tabular}{l} Syntax errors in the program source code are discovered at run time. \end{tabular} & \\ \hline 5. & \begin{tabular}{l} The control structure that repeats execution of some statements is called \\ selection control structure. \end{tabular} & \\ \hline 6. & \begin{tabular}{l} All programming languages have the same syntax. \\ 7. \end{tabular} & \begin{tabular}{l} The commands in assembly language are represented as a sequence of \\ ZEROs and ONEs. \end{tabular} \\ \hline 8. & The number (36)s is greater than the number (30) 10. & \\ \hline 9. & A flowchart is graphical way to represent the solution of a problem. & \\ \hline 10. & \begin{tabular}{l} HTML, JSP, and ASP are special programming languages used to construct \\ Web Pages. \end{tabular} & \\ \hline \end{tabular}

See Solution

Problem 51672

Expand the expression $(x^{2}+3)^{5}$ using the binomial theorem.

See Solution

Problem 51673

$4 x-23=5+5 x$

See Solution

Problem 51674

$30.5 \times 10.4$

See Solution

Problem 51675

The ancient Pythagoreans studied figurate numbers, which are numbers that can be shown by taking dots or spheres and arranging them into geometric shapes. For example, the square numbers are $1,4,9,16,25$ , etc,, and each of these numbers of dots can be arranged into a square. The tetrahedral numbers similarly specify the number of spheres needed to create a tetrahedron, which is a triangular-based pyramid. The tetrahedral numbers are $1,4,10,20,35,56,84$ , etc. Which of the following statements is true?

See Solution

Problem 51676

Find the absolute extrema of the function $f(x, y)=2 x^{2}+3 x y+4 y^{2}+2 x+3 y+4$ on the domain defined by $-2 \leq x \leq 8$ and $2 \leq y \leq 10$ .
Please show your answer to at least 4 decimal places. Absolute Maximum: $\square$ Absolute Minimum: $\square$

See Solution

Problem 51677

Solve for $x$ $49^{x}$

See Solution

Problem 51678

Counting and Probability Outcomes and event probability
A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the first toss, followed by two tails). The 8 outcomes are listed in the table below. Note that each outcome has the same probability. For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.

See Solution

Problem 51679

Rationalize the denominator. Assume $t$ $\frac{1}{\sqrt{28 z}}$

See Solution

Problem 51680

Question Watch Video Show Examples
In a circle with radius 5 , an angle measuring $\frac{\pi}{6}$ radians intercepts an arc. Find the length of the arc in simplest form.

See Solution

Problem 51681

5th 60 31
Find the measure of angle 2
108 36 72 54

See Solution

Problem 51682

Triangle - Interior Angles Find the measure of the indicated angle in each triangle. 1)
21 3) $m \angle U=$ $\qquad$ $m \angle B=$ $\qquad$

See Solution

Problem 51683

Which fraction represents the decimal $0 . \overline{12}$ ? $\frac{1}{12}$ $\frac{3}{25}$ $\frac{4}{33}$ $\frac{33}{4}$

See Solution

Problem 51684

What is the value of $r$ of the geometric series? $\sum_{n=1}^{3} 1.3(0.8)^{n-1}$ 0.8 1.3 3.0 3.2

See Solution

Problem 51685

10/36
D E
Given rectangle DEFG, if FD = $3 x-7$ and $E G=x+5$ , find $E G$ .
5 11 6 7

See Solution

Problem 51686

Suppose that $f(x, y)=e^{-4 x^{2}-1 y^{2}+7 x+8 y}$ then find the discriminant of $f$ .

See Solution

Problem 51687

8.2.3 Qulz: Using Probability to Make Decisions
Question 8 of 10 Two friends argue over who brushes their teeth more often. To settle the argument, they keep track of the number of mornings and nights they brush and calculate a probability. These are shown in the table. \begin{tabular}{|c|c|c|} \hline & Braxton & Arabella \\ \hline \begin{tabular}{c} Probability of brushing \\ in morning \end{tabular} & 0.79 & 0.85 \\ \hline \begin{tabular}{c} Probability of brushing \\ in evening \end{tabular} & 0.81 & A \\ \hline \end{tabular}
Who is more likely to brush both morning and evening? Assume all events are independent.

See Solution

Problem 51688

16. Which of the following is a weak base? A. NaOH B. $\mathrm{Ca}(\mathrm{OH})_{2}$ C. $\mathrm{NH}_{3}$

See Solution

Problem 51689

Which expression is equivalent to $\log _{2} 9 x^{3}$ ? $\log _{2} 9+3 \log _{2} x$ $\log _{2} x+3 \log _{2} 9$ $3 \log _{2} x-\log _{2} 9$ $3 \log _{2} 9-\log _{2} x$

See Solution

Problem 51690

Harjit deposited a sum of money in a bank which offers an interest rate of $4 \%$ per annum and compounded every 6 months. Calculate the value of principal if the total interest received by Harjit after three years is RM756.97. $\begin{array}{l} M V \cdot P^{4}(?)\left(1+\frac{0.04}{6}\right)^{(6)(1)} \\ M V=x\left(1+\frac{0.04}{6}\right)^{(6)(1)} \end{array}$

See Solution

Problem 51691

Question 14, 17.5.47 Points: 0 of 1
Rationalize the denominator of $\frac{\sqrt{a}+3}{2 \sqrt{a}-\sqrt{b}}$ . Assume that all variables represent positive real numbers

See Solution

Problem 51692

3.
Şekil - I
Şekil - II
Yusuf Şekil - l'de verilen ABC üçgeni biçimindeki kartonu makas yardımıyla [AN] boyunca keserek Şekil - II'deki gibi yapıştırıyor. $B, N$ ve $N^{\prime}$ doğrusaldır. $\begin{array}{l} m(\widehat{\mathrm{BAN}})=m(\widehat{\mathrm{NAC}})=20^{\circ} \\ m(\widehat{\mathrm{ABN}})=m(\widehat{\mathrm{NCA}})=70^{\circ} \end{array}$
Buna göre, $\mathrm{m}\left(\widehat{A C N}^{\prime}\right)$ kaç derecedir? A) 20 B) 25 C) 30 D) 35 E) 40

See Solution

Problem 51693

6. Au banquet, tu vas chercher les entrées suivantes: 3 salades vertes, 2 salades césar et 3 soupes et tu vas les distribuer à 8 profs en espérant d'avoir une estampe pour ton passeport francophile. Si ton prof de Maths veut une soupe, combien de façons pourrais-tu distribuer ces huit entrées? A. 560 B. 5040 $3!2!3$ C. 210 D. 72
7. Du comité de Graduation (qui inclut 6 filles et 4 garçons), on doit choisir un groupe de 4 personnes avec au moins 3

See Solution

Problem 51694

Multiply. $\left(2 y^{2}+5 y+6\right)(7 y-4)$
Simplify your answer.

See Solution

Problem 51695

Divide: $1.98 \div 0.09$
A 2.2 (B) 22
C 220 D 0.22

See Solution

Problem 51696

Sujet 1 Exercice 1 On considère les suites $\left(u_{n}\right)$ et $\left(v_{n}\right)$ définies pour tout entier naturel $n$ par : $\left\{\begin{array}{l} u_{0}=v_{0}=1 \\ u_{n+1}=u_{n}+v_{n} \\ v_{n+1}=2 u_{n}+v_{n} \end{array}\right.$
Dans toute la suite de l'exercice, on admet que les suites $\left(u_{n}\right)$ et $\left(v_{n}\right)$ sont strictement positives.
1. a. Calculez $u_{1}$ et $v_{1}$ . b. Démontrer que la suite $\left(v_{n}\right)$ est strictement croissante, puis en déduire que, pour tout entier naturel $n, v_{n} \geqslant 1$ . c. Démontrer par récurrence que, pour tout entier naturel $n$ , on a : $u_{n} \geqslant n+1$ . d. En déduire la limite de la suite $\left(u_{n}\right)$ .
2. On pose, pour tout entier naturel $n$ : $r_{n}=\frac{v_{n}}{u_{n}}$
On admet que : $r_{n}^{2}=2+\frac{(-1)^{n+1}}{u_{n}^{2}}$ a. Démontrer que pour tout entier naturel $n$ : $-\frac{1}{u_{n}^{2}} \leqslant \frac{(-1)^{n+1}}{u_{n}^{2}} \leqslant \frac{1}{u_{n}^{2}}$ b. En déduire : $\lim _{n \rightarrow+\infty} \frac{(-1)^{n+1}}{u_{n}^{2}}$ c. Déterminer la limite de la suite $\left(r_{n}^{2}\right)$ et en déduire que $\left(r_{n}\right)$ converge vers $\sqrt{2}$ . d. Démontrer que pour tout entier naturel $n$ , $r_{n+1}=\frac{2+r_{n}}{1+r_{n}}$ e. On considère le programme suivant écrit en langage Python : ``` def seuil(): n}= r = 1 while abs(r-sqrt(2)) > 10**(-4) : r = (2+r) /(1+r) n = n+1 return n ``` (abs désigne la valeur absolue, sqrt la racine carrée et $10^{* *}(-4)$ représente $10^{-4}$ ). La valeur de $n$ renvoyée par ce programme est 5 . À quoi correspond-elle?

See Solution

Problem 51697

During a study that lasted 47 days, one chicken was fed 5.17 kg of chicken feed. What was the daily rate at which the chicken was fed?
A 0.108 kg per day B 0.109 kg per day C 0.110 kg per day D 0.111 kg per day

See Solution

Problem 51698

(A) $152 \mathrm{~cm}^{2}$ C) $190 \mathrm{~cm}^{2}$ (8) $202 \mathrm{~cm}^{2}$ (D) $184 \mathrm{~cm}^{2}$

See Solution

Problem 51699

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x -axis at each $x$ -intercept. 67) $f(x)=4(x-7)(x-5)^{4}$ A) -7 , multiplicity 1 , crosses $x$ -axis; -5 , multiplicity 4 , touches $x$ -axis 67) B) 7 , multiplicity 1 , touches $x$ -axis; 5 , multiplicity 4 , crosses $x$ -axis C) 7, multiplicity 1 , crosses $x$ -axis; 5 , multiplicity 4 , touches $x$ -axis D) -7 , multiplicity 1 , touches $x$ -axis; -5 , multiplicity 4 , crosses $x$ -axis

See Solution

Problem 51700

Consider a triangle $A B C$ like the one below. Suppose that $A=84^{\circ}, B=36^{\circ}$ , and $c=44$ . (The figure is not drawn to scale.) Solve the triangle. Round your answers to the nearest tenth. If there is more than one solution, use the bution labeled "or". $c=$ $\square$ , $a=$ $\square$ $\square$

See Solution

Math

Problem 51601

Problem 51602

Problem 51603

Problem 51604

Simplify the expression: −12+25+(−310)−34-\frac{1}{2}+\frac{2}{5}+\left(-\frac{3}{10}\right)-\frac{3}{4}−21​+52​+(−103​)−43​

Problem 51605

Problem 51606

13. At 5:30 p.m., the temperature in Antarctica is −60∘F-60^{\circ} \mathrm{F}−60∘F. At 11:30 p.m., the temperature is 15∘15^{\circ}15∘ cooler. What is the temperature at 11:3011: 3011:30 p.m.? \qquad

Problem 51607

For the right triangles below, find the exact values of the side lengths aaa and ddd. If necessary, write your responses in simplified radical form. a=a=a= □\square□ d=d=d= □\square□

Problem 51608

Problem 51609

sell? \qquad11. Samantha wants to find the sum of 5/8−4/9+5/245 / 8-4 / 9+5 / 245/8−4/9+5/24 by using the least common denominator (LCD) of the three fractions. The LCD of the fractions in the expressions is 58−49+53\frac{5}{8}-\frac{4}{9}+\frac{5}{3}85​−94​+35​

Problem 51610

Problem 51611

12. Amelia's scale drawing of the headboard on her bed is shown below. If 4 inches =2=2=2 feet on the real headboard, what is the actual length of the headboard? (Use a proportion to solve) A. 3.2 feet B. 3.4 feet C. 6.4 feet D. 8.4 feet

Problem 51612

Problem 51613

Explain why an object moving in a circle at a constant speed is accelerated.

Problem 51614

Problem 51615

Problem 51616

50 дм =□m=\square \mathrm{m}=□m

Problem 51617

Problem 51618

rieți rezolvările complete.1. In triunghiul ABC,AD⊥BC,D∈BCA B C, A D \perp B C, D \in B CABC,AD⊥BC,D∈BC, iar punctele M,NM, NM,N și PPP sunt mijloacele laturilor AB,ACA B, A CAB,AC, respectiv BCB CBC. Demonstrați că MNPDM N P DMNPD este trapez isoscel.

Problem 51619

Problem 51620

∣−4+5x∣=16|-4+5 x|=16∣−4+5x∣=16 {16/5,12/5}\{16 / 5,12 / 5\}{16/5,12/5} {−12/5,4}\{-12 / 5,4\}{−12/5,4} {4,−5}\{4,-5\}{4,−5}4

Problem 51621

4)Explain how to determine the zeros of f(x)=(x+3)(x−1)(x−8)f(x)=(x+3)(x-1)(x-8)f(x)=(x+3)(x−1)(x−8). State the zeros of the function.

Problem 51622

5. Аль нь ч тэгтэй тэнцдэггүй a,b,ca, b, ca,b,c бүхэл тоонууд 3abc=a+b+c+63 a b c=a+b+c+63abc=a+b+c+6нөхцөлийг хангадаг. Ийм бүх эрэмбэлэгдсэн (a,b,c)(a, b, c)(a,b,c) гуравтын тоог ол.Хариу: 6

Problem 51623

Problem 51624

3. 6 . Find the resistance at 20 oC of an annealed copper bus bar 2 m long and 1 cm by 4 cm in rectangular cross section. Ans. 86μΩ86 \mu \Omega86μΩ.

Problem 51625

19. A battery that produces 6 V on open circuit produces 5,4 V5,4 \mathrm{~V}5,4 V when delivering 6 A . What is internal resistance of the battery? Ans. 0,1Ω0,1 \Omega0,1Ω

Problem 51626

r15r17\frac{r^{15}}{r^{17}}r17r15​

Problem 51627

Problem 3. An electric heater consumes 1.8 MJ when connected to a 250 V supply for 30 minutes. Find the power rating of the heater and the current taken from the supply. Ans. 1kW; 4A.

Problem 51628

дана геометрическая прогрессия -1, -5, -25... найти b13 и S20

Problem 51629

15. Find the equivalent resistance of four parallel resistors of 2,4,62,4,62,4,6 and 8Ω8 \Omega8Ω. Ans. 0,96Ω0,96 \Omega0,96Ω.

Problem 51630

(x9)−1\left(x^{9}\right)^{-1}(x9)−1

Problem 51631

(x2)0\left(x^{2}\right)^{0}(x2)0

Problem 51632

1. An acre of land is 43,560 square feet. You have 10 acres of land. How many square feet are in the field?The field is 435,600 square feet2. If the length of the field is 1,000 feet long, how wide is the field?

Problem 51633

Problem 51634

Problem 51635

A line passes through the points in this table. \begin{tabular}{|c|c|} \hlinexxx & yyy \\ \hline 2 & 12 \\ \hline 3 & 17 \\ \hline 4 & 22 \\ \hline 5 & 27 \\ \hline \end{tabular}What is the slope of the line? Write your answer as an integer or simplified fraction. □\square□

Problem 51636

Which of the following would find the sum of the first 10 terms of the given sequence? 2,4,6,…2,4,6, \ldots2,4,6,…

Problem 51637

Calculate the gradient of f(x,y)=xyf(x, y)=x yf(x,y)=xy at (x,y)=(1,2)(x, y)=(1,2)(x,y)=(1,2). ∇f(1,2)=\nabla f(1,2)=∇f(1,2)= □\square□

Problem 51638

) A line passes through the points in this table. \begin{tabular}{|c|c|} \hlinexxx & yyy \\ \hline 2 & -10 \\ \hline 5 & 8 \\ \hline 8 & 26 \\ \hline 11 & 44 \\ \hline \end{tabular}What is the slope of the line? Write your answer as an integer or simplified fraction. □\square□

Problem 51639

Problem 51640

A line passes through the points in this table. \begin{tabular}{|c|c|} \hlinexxx & yyy \\ \hline 1 & 4 \\ \hline 3 & 20 \\ \hline 7 & 52 \\ \hline 8 & 60 \\ \hline \end{tabular}What is the slope of the line? Write your answer as an integer or simplified fraction. □\square□

Problem 51641

1. Resuelva el siguiente sistema por el método de Gauss 2x−3z=−84y+z=−83x+5y=−9\begin{array}{l} 2 x-3 z=-8 \\ 4 y+z=-8 \\ 3 x+5 y=-9 \end{array}2x−3z=−84y+z=−83x+5y=−9​

Problem 51642

What is the slope of the line? A) 53\frac{5}{3}35​ (B) 35\frac{3}{5}53​ (C) −53-\frac{5}{3}−35​ (D) −35-\frac{3}{5}−53​

Problem 51643

A line passes through the points in this table. \begin{tabular}{|c|c|} \hlinexxx & yyy \\ \hline 25 & -35 \\ \hline 35 & -43 \\ \hline 45 & -51 \\ \hline 55 & -59 \\ \hline \end{tabular}What is the slope of the line? Write your answer as an integer or simplified fraction. □\square□

Problem 51644

Find an equation of the line through (3,7)(3,7)(3,7) and parallel to y=4x−2y=4 x-2y=4x−2. Write the equation using function notation. f(x)=f(x)=f(x)=

Problem 51645

Problem 51646

Which best describes the triangle? obtuse and isosceles acute and scalene right and isosceles acute and isosceles

Problem 51647

Factor the following polynomial by grouping. ab+5a+2b+10a b+5 a+2 b+10ab+5a+2b+10

Problem 51648

Simplify the expression: $-\frac{1}{2}+\frac{2}{5}+\left(-\frac{3}{10}\right)-\frac{3}{4}$

13. At 5:30 p.m., the temperature in Antarctica is $-60^{\circ} \mathrm{F}$ . At 11:30 p.m., the temperature is $15^{\circ}$ cooler. What is the temperature at $11: 30$ p.m.? $\qquad$

For the right triangles below, find the exact values of the side lengths $a$ and $d$ . If necessary, write your responses in simplified radical form. $a=$ $\square$ $d=$ $\square$

sell? $\qquad$
11. Samantha wants to find the sum of $5 / 8-4 / 9+5 / 24$ by using the least common denominator (LCD) of the three fractions. The LCD of the fractions in the expressions is $\frac{5}{8}-\frac{4}{9}+\frac{5}{3}$

12. Amelia's scale drawing of the headboard on her bed is shown below. If 4 inches $=2$ feet on the real headboard, what is the actual length of the headboard? (Use a proportion to solve) A. 3.2 feet B. 3.4 feet C. 6.4 feet D. 8.4 feet

50 дм $=\square \mathrm{m}$

rieți rezolvările complete.
1. In triunghiul $A B C, A D \perp B C, D \in B C$ , iar punctele $M, N$ și $P$ sunt mijloacele laturilor $A B, A C$ , respectiv $B C$ . Demonstrați că $M N P D$ este trapez isoscel.

$|-4+5 x|=16$ $\{16 / 5,12 / 5\}$ $\{-12 / 5,4\}$ $\{4,-5\}$
4

4)
Explain how to determine the zeros of $f(x)=(x+3)(x-1)(x-8)$ . State the zeros of the function.

5. Аль нь ч тэгтэй тэнцдэггүй $a, b, c$ бүхэл тоонууд $3 a b c=a+b+c+6$
нөхцөлийг хангадаг. Ийм бүх эрэмбэлэгдсэн $(a, b, c)$ гуравтын тоог ол.
Хариу: 6

3. 6 . Find the resistance at 20 oC of an annealed copper bus bar 2 m long and 1 cm by 4 cm in rectangular cross section. Ans. $86 \mu \Omega$ .

19. A battery that produces 6 V on open circuit produces $5,4 \mathrm{~V}$ when delivering 6 A . What is internal resistance of the battery? Ans. $0,1 \Omega$

$\frac{r^{15}}{r^{17}}$

15. Find the equivalent resistance of four parallel resistors of $2,4,6$ and $8 \Omega$ . Ans. $0,96 \Omega$ .

$\left(x^{9}\right)^{-1}$

$\left(x^{2}\right)^{0}$

1. An acre of land is 43,560 square feet. You have 10 acres of land. How many square feet are in the field?
The field is 435,600 square feet
2. If the length of the field is 1,000 feet long, how wide is the field?

A line passes through the points in this table. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 2 & 12 \\ \hline 3 & 17 \\ \hline 4 & 22 \\ \hline 5 & 27 \\ \hline \end{tabular}
What is the slope of the line? Write your answer as an integer or simplified fraction. $\square$

Which of the following would find the sum of the first 10 terms of the given sequence? $2,4,6, \ldots$

Calculate the gradient of $f(x, y)=x y$ at $(x, y)=(1,2)$ . $\nabla f(1,2)=$ $\square$

) A line passes through the points in this table. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 2 & -10 \\ \hline 5 & 8 \\ \hline 8 & 26 \\ \hline 11 & 44 \\ \hline \end{tabular}
What is the slope of the line? Write your answer as an integer or simplified fraction. $\square$

A line passes through the points in this table. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 1 & 4 \\ \hline 3 & 20 \\ \hline 7 & 52 \\ \hline 8 & 60 \\ \hline \end{tabular}
What is the slope of the line? Write your answer as an integer or simplified fraction. $\square$

1. Resuelva el siguiente sistema por el método de Gauss $\begin{array}{l} 2 x-3 z=-8 \\ 4 y+z=-8 \\ 3 x+5 y=-9 \end{array}$

What is the slope of the line? A) $\frac{5}{3}$ (B) $\frac{3}{5}$ (C) $-\frac{5}{3}$ (D) $-\frac{3}{5}$

A line passes through the points in this table. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 25 & -35 \\ \hline 35 & -43 \\ \hline 45 & -51 \\ \hline 55 & -59 \\ \hline \end{tabular}
What is the slope of the line? Write your answer as an integer or simplified fraction. $\square$

Find an equation of the line through $(3,7)$ and parallel to $y=4 x-2$ . Write the equation using function notation. $f(x)=$

Factor the following polynomial by grouping. $a b+5 a+2 b+10$

7. $b+9-2 b=6$

Solve $2 \sin x-\csc x=0$ for $0 \leq x \leq 2 \pi$ ANS: $\frac{\pi}{4}, \frac{3 \pi}{4}, \frac{5 \pi}{4}, \frac{7 \pi}{4}$

5 For a $90 \%$ confidence interval for proportion $p$ , with $n=100$ and $x=38$ a. Determine $\mathbf{Z}_{\alpha 2}$ , p-hat, and E . b. State and interpret the resultant $90 \%$ confidence interval.

17. $\frac{4\left(\cos 150^{\circ}+i \sin 150^{\circ}\right)}{2\left(\cos 120^{\circ}+i \sin 120^{\circ}\right)}$

Please show your answer to 4 decimat places. Find the direction in which the maximum rate of change occurs for the function $f(x, y)=5 x \sin (x y)$ at the point $(3,5)$ . Give your answer as a unit vector.

$2|x|-|3 x+1|<4$

What are the values of $a_{1}$ and $r$ of the geometric series? $2-2+2-2+2$ $a_{1}=2$ and $r=-2$ $a_{1}=-2$ and $r=2$ $a_{1}=-1$ and $r=2$ $a_{1}=2$ and $r=-1$

Question \# 2: $\qquad$ A) Find the equation of the tangent line to the curve $y=\left(x^{2}+3\right) \tan (x)$ at the point $(0,0)$

4. Jika $\int_{1}^{4} f(x) \mathrm{d} x=6$ , maka nilai $\int_{1}^{4} f(5-x) \mathrm{d} x=\cdots$

25. Nilai $y$ yang memenuhi persamaan $\int_{0}^{\sqrt{2 \log (5 y+1)}} 3 x \sqrt{-2 x^{2}+9} \mathrm{~d} x=13$ adalah ... A. 1 C. 3 E. 5 B. 2 D. 4

3. Which table has a slope that is the same as the slope of the line represented by the equation $y=2 x+1$ ? $x y$ -27 3-8 $x y$ -1-7 43 $x y$ -22 24 $x y$ -2 2 4-1

Rationalize the denominator. $\frac{\sqrt{3}}{\sqrt{5}}$

Expand the expression $(x^{2}+3)^{5}$ using the binomial theorem.

$4 x-23=5+5 x$

$30.5 \times 10.4$