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Problem 2501

What is the employer's yearly contribution to the U.S. Medicare tax on a salary of $\$ 65.000$ ? \begin{tabular}{|l|c|c|} \hline \multicolumn{3}{|c|}{ FICA Taxes } \\ \hline & Social Security & Medicare \\ \hline Total Due: & $12.40 \%$ & $2.90 \%$ \\ \hline \begin{tabular}{l} Employer's \\ Responsibibty \end{tabular} & $6.20 \%$ & $1.45 \%$ \\ \hline \begin{tabular}{l} Employee's \\ Responsibibity \end{tabular} & $6.20 \%$ & $1.45 \%$ \\ \hline \end{tabular}

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Problem 2502

9. Caldeiras de aquecimento a gás funcionam da seguinte forma: quando se abre uma torneira de água quente na casa, a caldeira começa a funcionar, e a temperatura da água que passa no seu interior vai aumentando com o tempo. Em determinada caldeira, a temperatura aumenta $2,6^{\circ} \mathrm{C}$ por segundo a partir do momento que é acionada. Em uma casa que possui uma caldeira de aquecimento a gás e que está em uma região em que a água fria está a $13^{\circ} \mathrm{C}$ , o tempo aproximado que leva para a água chegar a $55^{\circ} \mathrm{C}$ a partir da abertura da torneira de água quente é, em segundos, A) 16 . B) 21 . C) 26 .
9. 34 . E) 42 .

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Problem 2503

A certain state uses the progressive tax rate below for calculating individual income tax. Calculate the state income tax owed on an \40,000 per year salary. \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Income \\ Range (\$) \end{tabular} & \begin{tabular}{c} Progressive \\ Tax Rate \end{tabular} \\ \hline 0-9,000 & 4 \% \\ \hline 9,001-14,000 & 5 \% \\ \hline 14,001+ & 6 \%$ \\ \hline \end{tabular}

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Problem 2504

If the federal government used the progressive tax rate below for individual income tax, calculate the federal income tax owed on a $\$ 57,600$ salary. \begin{tabular}{|c|c|} \hline Standard Deduction & \12,200 \\ \hline Income Range (\$) & \begin{tabular}{l} Progressive \\ Tax Rate \end{tabular} \\ \hline 0 . \quad 9,700 & 10 \% \\ \hline 9,701 - 39,475 & 12 \% \\ \hline 39,476 - 84,200 & 22 \% \\ \hline 84,201-160,275 & 24 \% \\ \hline 160,276+ & 32 \%$ \\ \hline \end{tabular}

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Problem 2505

What is an independent contractor's yearly ontribution to the U.S. Social Security tax on an income of $\$ 40,000 /$ year? \begin{tabular}{|l|c|c|} \hline \multicolumn{3}{|c|}{ FICA Taxes } \\ \hline & Social Security & Medicare \\ \hline \multicolumn{1}{|c|}{ Total Due: } & $\mathbf{1 2 . 4 0 \%}$ & $\mathbf{2 . 9 0 \%}$ \\ \hline \begin{tabular}{l} Employer's \\ Responsibility \end{tabular} & $6.20 \%$ & $1.45 \%$ \\ \hline \begin{tabular}{l} Employee's \\ Responsibility \end{tabular} & $6.20 \%$ & $1.45 \%$ \\ \hline \end{tabular}

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Problem 2506

What is the total amount of money being added to the account in the table of deposits shown below? \begin{tabular}{|l|r|} \hline \multicolumn{1}{|c|}{ Deposits } & \multicolumn{1}{c|}{ Amount } \\ \hline Incoming ACH & $\$ 2185.60$ \\ \hline Incoming Phone Transfer & $\$ 23.03$ \\ \hline Incoming App Transfer & $\$ 60.51$ \\ \hline Check Mobile Deposit & $\$ 21.44$ \\ \hline \end{tabular}

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Problem 2507

The following table gives the number of drinks and the resulting blood alcohol percent for a man of a certain weight legally considered driving under the influence (DUI). a. The average rate of change in blood alcohol percent with respect to the number of drinks is a constant. What is it? b. Use the rate of change and one point determined by a number of drinks and the resulting blood alcohol percent to write an equation of a linear model for this data. \begin{tabular}{|l|c|c|c|c|c|c|} \hline Number of Drinks & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline \begin{tabular}{l} Blood Alcohol \\ Percent \end{tabular} & 0.21 & 0.25 & 0.29 & 0.33 & 0.37 & 0.41 \\ \hline \end{tabular}

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Problem 2508

3. $\angle 3 \equiv \angle 4$
3. verticle $<$
4. $\angle 4 \geqslant \angle 2$
5. $<1 \cong \angle 2$ 4 corresponding $<$ are $¥$
5. Transitive
5. Transitive
2. $\begin{array}{l}\text { Given: } \\ \text { Prove: } \\ \text { ald }\end{array} \mathrm{m},<1 \cong<2$ \begin{tabular}{l|l} Statements & Reaspns \\ \hline 2. $11 \mathrm{~m}, L 13 \angle 2$ & Given \\
2. Given & \end{tabular}

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Problem 2509

What is the total amount of money being added to the account in the table of deposits shown below? \begin{tabular}{|l|r|} \hline \multicolumn{1}{|c|}{ Deposits } & \multicolumn{1}{c|}{ Amount } \\ \hline Incoming ACH & $\$ 1750.50$ \\ \hline Incoming Phone Transfer & $\$ 29.49$ \\ \hline Incoming App Transfer & $\$ 58.09$ \\ \hline Check Mobile Deposit & $\$ 29.27$ \\ \hline \end{tabular} $\$[?]$

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Problem 2510

List the interval(s) on which $f$ is increasing.
The interval(s) on which $f$ is increasing is/are $\square$ . (Type your answer in interval notation. Use a comma to separate answers as needed.)

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Problem 2511

(4) measang thamee subtraction problems into addition problems as a first step. b. $-2+4$ c. $3-(-4)$ d. $-1-(-5)$
3. Modet the following problems using a number line and record your answer. Remember that the arrow's direction indicates

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Problem 2512

Solve the following problems. Make use of the fact that subtracting a number is the same as adding its opposit use either the algebra tile model or the number line model to help you. a. $-20+8=$ b. $-17+5=$ c. $10-(-10)=$ d. $7+-5=$ $-16+-17=$ f. $6-(-4)=$ $-5-(-20)=$ h. $1-13=$ $13+-17=$ j. $-20-14=$

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Problem 2513

II. In Exercises 6-10, use a calculator to evaluate the trigonometric functions for the indicated values. Round your answers to four decimal places.
6. $\sin 37^{\circ}=$ $\qquad$
7. $\cos 82^{\circ}=$ $\qquad$
8. $\tan 54^{\circ}=$ $\qquad$
9. $\sec 8^{\circ}=$ $\qquad$
10. $\cot 55^{\circ}=$ $\qquad$

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Problem 2514

A researcher recorded the amount of time, rounded to the nearest second, that it took each of 14 people to complete a certain task. The recorded times are summarized in the boxplot shown. Which of the following statements must be true?
Indicate all such statements. At least one person had a recorded time of 25 seconds. At least one person had a recorded time of 50 seconds. Each of the 14 people had a recorded time of at most 60 seconds. select one or more answer choices.

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Problem 2515

CD is a diameter of the circle and the circle is tangent to both axes. Quantity $B$ Quantity A n m Quantity A is greater. Quantity $B$ is greater. The two quantities are equal. The relationship cannot be determined from the information given.

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Problem 2516

Tentukan nllai $f(x)=2^{2 x-4}$ Jika $x=3$

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Problem 2517

Temporary Employment in Germany, 1993-1999 00:20:09 9 Hibotics 185,000 19,000 35,000

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Problem 2518

EXERCISES Write each mixed number as a whole number or decimal. Classify each number by naming the set or sets to which it belongs: rational numbers, integers, or whole numbers. (Lessons 1.1, 1.2)
1. $\frac{3}{4}$ $\qquad$
2. $\frac{8}{2}$ $\qquad$
3. $\frac{11}{3}$ $\qquad$
4. $\frac{5}{2}$ $\qquad$ Find each sum or difference. (Lessons 1.3, 1.4)
5. $-5+9.5$ $\qquad$
6. $\frac{1}{6}+\left(-\frac{5}{6}\right)$ $\qquad$
8. $-3-(-8)$ $\qquad$
7. $-0.5+(-8.5)$ $\qquad$
9. $5.6-(-3.1)$

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Problem 2519

A certain manufacturer determines that the profit $P$ , in dollars, generated by producing $x$ units of a product is given by the formula $P=0.1 x(100-x)$ . Which of the following values of $x$ will result in a profit hast is positive?
Indicate all such values. 60 75 90 105

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Problem 2520

I. In Exercises 1-5, refer to the triangle in the drawing to find the indicated trigonometric function values.
1. $\sin \theta=$
2. $\cos \theta=$
3. $\csc \theta=$
4. $\sec \theta=$
5. $\tan \theta=$

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Problem 2521

1 Honeydew melons are on sale at four different grocery stores. Which storo offers the lowest unit rate for honeydow melons, in dollars per pound? * Happy Grocery $\frac{\$ 3.50}{7 \text { pounds }}$ - Sullinan's $\frac{\$ \frac{1}{10}}{\frac{1}{8} \text { pound }}$ - Mother Nature $\frac{\$ 4.00}{10 \text { pounds }}$ - Farmer's Pride $\$ 0.45 /$ pound A. Mother Nature B. Sutlivan:s C. I armer's Pride D. Happy Grocery

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Problem 2522

In a certain region or ine country, It is known trom past experience that the probability of selecting an adult over 40 years of age with cancer is 0.05 . If the probability of a doctor correctly diagnosing a person with cancer as having the disease is U./o and the probability o Incorreculy diagnosing a person witnout cancer as naving the oisease. IS J.Ub. - What is the probability that an adult over 40 years of age is diagnosed as having cancer?

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Problem 2523

Carla buys a dress that costs $\$ 20.00$ . She pays $7 \%$ sales tax. How much does she pay for the dress, with tax? A. $\$ 7.00$ B. $\$ 21.40$ C. $\$ \$ 34.00$ D. $\$ 27.00$

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Problem 2524

2
Mrs. Santos has two kinds of flowers in her garden. The ratio of lilies to daisies in the garden is $3: 2$ If there are 12 lilies, what is the total number of flowers in her garden? A. 10 B. 24 C. 8 D. 20

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Problem 2525

$L(\sec 2 t \cot 2 t)=$

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Problem 2526

The equation $y=\frac{1}{2} x$ represents a proportional relationship. What is the constant of proportion A. $x$ B. 0 C. $\frac{1}{2}$ D. 2

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Problem 2527

Let's estimate $0.037 \times 3.71$ by rounding each number to the place of its leftmost nonzero digit.
First round 0.037 to the nearest hundredth. 0.037 rounds to $\square$ Now round 3.71 to the nearest one. 3.71 rounds to $\square$ Multiply the rounded numbers. $\square$

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Problem 2528

The diagram show part of the curve $y=3-\frac{18}{2 x+3}$ . The normal to the curve at $x=3$ intersects the $y$ -axis at $A$ . Find the exact area of the shaded region.

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Problem 2529

Let's estimate $83.39 \times 0.72$ by rounding each number to the place of its leftmost nonzero digit.
First round 83.39 to the nearest ten. 83.39 rounds to $\square$ Now round 0.72 to the nearest tenth. 0.72 rounds to $\square$ Multiply the rounded numbers. $\square$

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Problem 2530

Let's estimate $0.434 \times 6.59$ by rounding each number to the place of its leftmost nonzero digit.
First round 0.434 to the nearest tenth. 0.434 rounds to $\square$ Now round 6.59 to the nearest one. 6.59 rounds to $\square$ Multiply the rounded numbers. $\square$

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Problem 2531

Solve the following proportion for $U$ . $\frac{u}{8}=\frac{5}{3}$
Round your answer to the nearest tenth. $u=$ $\square$

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Problem 2532

A total of 342 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold? $\square$ adult tickets

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Problem 2533

Taller: formativo. Est 215 sem 22024 Resuelta los siguientes problemas aplicando lo aprendido para elaborar una tabla de distribución de frecuencias. Y además realice el calculo de la media y la desviación típica.
Problema 1. En un problema similar al del ejercicio 11, es necesario garantizar que la resistencia mínima que tiene un envase de plástico en posición vertical sea de 20 kg. Para evaluar esto se han obtenido los siguientes datos mediante pruebas destructivas: $\begin{array}{l} 28.3 \quad 26.8 \quad 26.6 \quad 26.5 \quad 28.124 .827 .426 .2 \quad 29.428 .624 .925 .230 .427 .727 .026 .1 \\ 28.126 .928 .027 .625 .629 .527 .627 .326 .227 .727 .225 .926 .528 .326 .529 .1 \\ 23.729 .726 .829 .528 .426 .328 .128 .727 .025 .526 .927 .227 .625 .528 .327 .4 \\ 28.825 .025 .3 \quad 27.725 .228 .627 .928 .7 \end{array}$

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Problem 2534

On Monday, a local hamburger shop sold a combined total of 416 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday? $\square$ hamburgers

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Problem 2535

Solve the following proportion for $U$ . $\frac{u}{8}=\frac{5}{3}$
Round your answer to the nearest ter $u=$ $\square$

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Problem 2536

Solve the following proportion for $y$ . $\frac{7}{3}=\frac{y}{8}$
Round your answer to the nearest tent $y=$

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Problem 2537

Write $1.2 \%$ as a fraction in simplest form. $\square$

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Problem 2538

10. Tomas asked 15 students whether summer break should be longer. He used his calculator to divide the number of students who said yes by the total number of students. His calculator showed the result as $0.9333 \ldots$ . a. Write this number as a fraction. $\frac{14}{15}$ b. How many students said that summer break should be longer?

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Problem 2539

10. Tomas asked 15 students whether summer break should be longer. He used his calculator to divide the number of students who said yes by the total number of students. His calculator showed the result as $0.9333 \ldots$ a. Write this number as a fraction.

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Problem 2540

Proving Vertical Angles Are Congruent
Given: $\angle 2$ and $\angle 4$ are vertical angles. Prove: $\angle 2 \cong \angle 4$
Assemble the proof by dragging tiles to the Statements and Reasons columns. Statements Reasons $m \angle 2+m \angle 3=180$ $m \angle 3+m \angle 4=180$ $\angle 2$ and $\angle 4$ are vert. angles $\angle 2$ and $\angle 3$ are a linear pair $\angle 3$ and $\angle 4$ are a linear pair $m \angle 2+m \angle 3=m \angle 3+m \angle 4$
Reasons

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Problem 2541

8.1 $\quad L^{-1}\left(\frac{s e^{-2 s}}{s^{2}+2 s}\right)=u_{2}(t) e^{-(t-2)}[\cosh (t-2)-\sinh (t-2)]$

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Problem 2542

To purchase $\$ 12,100$ worth of lab equipment for her business, Tammy made a down payment of $\$ 1600$ and took out a business loan for the rest. After 3 years of paying monthly payments of $\$ 319.44$ , she finally paid off the loan. (a) What was the total amount Tammy ended up paying for the equipment (including the down payment and monthly payments)? $\$$ Џl (b) How much interest did Tammy pay on the loan? $\$ \square$

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Problem 2543

To pay for a $\$ 19,100$ camper, Pablo made a down payment of $\$ 4400$ and took out a loan for the rest. On the loan, he paid monthly payments of $\$ 325.38$ for 4 years. (a) What was the total amount Pablo ended up paying for the camper (including the down payment and monthly payments)? $\$ \square$ (b) How much interest did Pablo pay on the loan? $\$ \square$

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Problem 2544

$2m^{2} + m - 15$

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Problem 2545

The Allens bought a $\$ 341,000$ house. They made a down payment of $\$ 46,000$ and took out a mortgage for the rest. Over the course of 30 years they made monthly payments of $\$ 1768.68$ on their mortgage until it was paid off. (a) What was the total amount they ended up paying for the house (including the down payment and monthly payments)? $\$ \llbracket$ (b) How much interest did they pay on the mortgage? $\$ \square$

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Problem 2546

1. Determine if the following ratios are in proportion. a. $20 \mathrm{~g}: 200 \mathrm{~g}, 700 \mathrm{~g}: 7 \mathrm{~kg}$ b. $500 \mathrm{ml}: 750 \mathrm{~m} l, 80 \mathrm{~kg}: 100 \mathrm{~kg}$

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Problem 2547

1. Matrx questions such as;
If $A=2 \quad f$ dand $B=t b$ b \{ d) 1 d ( ) (6) Find $A^{\prime}+B^{t}$ (ii) Find $(A+B)^{1}$ (iii) Prove that $\left(\mathrm{A}^{\prime}\right)^{\prime}=\mathrm{A}$
2. Algebra questions such as: a. Simplify (i) $\log _{2} 256$
Solve for in the following: (ii) $=3$ b. Sketch the graphs of the following. Show only the relevant information. Do not plot the graphs in detail. (i) $y=2-5$
3. Differention question such as:
Finding $\mathrm{dY} / \mathrm{dX}$ of an equation
4. Questions in Set theory:
Such as definition of concepts
5. test for convexity or concavity of a function.

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Problem 2548

$\int\left(5 x^{2}-8 x+5\right) d x$

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Problem 2549

Se lanza un bloqué de masa " $m$ " sobre una superficie horizontal rugosa con una rapidez inicial de $40 \mathrm{~m} / \mathrm{s}$ , como se muestra, entonces, el móvil se detendrá luego de un tiempo de: $\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)$ A) $4 s$ B) 10 s C) 6 s D) 5 s E) $8 s$

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Problem 2550

$L^{-1}\left(\frac{e^{-3 s} s}{(s-2)^{2}+16}\right)=e^{2(t-3)} \cos 4(t-3)$

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Problem 2551

TEGN VISERNE
Klokken er kvart over 1 Klokken er kvart i 7 Klokken er halv 12 Klokken er kvart i 5 Klokken er kvart over 9 Klokken er halv 10 Klokken er kvart over 4 Klokken er kvart i 9 Klokken er halv 8 LER SELV DANSKFOR BORN - FORLAGET ELYSION - KOPIERINGFORBUDT SID

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Problem 2552

(d) $6 \sin 2 \mathrm{P}+\sqrt{11}=0$ with $2 \hat{\mathrm{P}} \in\left[270^{\circ} ; 360^{\circ}\right]$ , determine the value of the following without the use of a calculator and with the aid of a diagram: (1) $\cos 2 \mathrm{P}$ (2)* $\cos \mathrm{P}$ $(3)^{*} \sin \mathrm{P}$

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Problem 2553

b. Find the direction derivatives of $\phi=x^{2} y z+4 x z^{2}$ at $(1,-2,-1)$ in the direction $2 i-j-2 k$

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Problem 2554

$2m^{2} + m - 15$

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Problem 2555

INSTRUCTION: Answer all Questions; 1 hr Q1a. Given the vector functions $A=5 t^{2} i+t j-t^{3} k$ ari.. $i, \sin t i-\cos t j$ , evaluate the foliowing: (i) $\frac{d}{d}(A \cdot B)$ (ii) $\frac{d}{d}(A \times B)$ (iii) $\frac{d}{d}(A \cdot A)$

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Problem 2556

As Empresas Marter e Geral Junto foram classificadas em um concurso, para apurarem qua delas pagamo melhor salário aos seus funcionários. Em caso de empare nas médias de salário desempate seria em favor do salanio mais regular. No quadro a seguir são apresentados o: salários de 20 funcionánio de cada empresa. \begin{tabular}{|c|c|} \hline \multicolumn{2}{|l|}{ Exapresa Marter } \\ \hline Fumetionarios & Salsinio \\ \hline Alberto Fear & 9000,00 \\ \hline Caltato Juitio & 2500.00 \\ \hline carlos Joaquina & 3000,00 \\ \hline Edwand Besta & 5000,00 \\ \hline Jame Jumer & 2500.00 \\ \hline Jeapa Marzan & 11000,00 \\ \hline Josio Tomats & 2500.00 \\ \hline Jomathan Daise & 6500.00 \\ \hline Jose Jaio & 4100,00 \\ \hline Julio Joagruim & 3250.00 \\ \hline Ilus Prancisico & 2250,00 \\ \hline Miareos Ammazdo & 2500,00 \\ \hline Marra Teresa & 7500.00 \\ \hline Mariza Albano & 5000.00 \\ \hline Paula Pata & 4500,00 \\ \hline Ramm Angelo & 2000.00 \\ \hline Simas Mamuel & 1900,00 \\ \hline Taurai Somatho & 5000.00 \\ \hline Tomas Dugres & 5\00,00 \\ \hline Zea Nazare & 8500,00 \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hline \multicolumn{2}{|l|}{ Emprema Geral Jumto } \\ \hline Funcionamios & Saltintio \\ \hline Alama Dias & \ $000.00$ \\ \hline Anal Jone. & 4500.00 \\ \hline Anncmio Lum & 1500,00 \\ \hline Benta dore Minchanygar & 139000,00 \\ \hline Caria Duan & p000,00 \\ \hline Echaraa fihomana & 7000,00 \\ \hline Eha Nayco & 2500.00 \\ \hline Ene alat Sampuel & 31500.00 \\ \hline Ericia da Cmaz & 1500000 \\ \hline Eugermia Marycelto & 10000.00 \\ \hline Erz Jicio & 3000.00 \\ \hline Fitcran Elliye & 0000,00 \\ \hline Tyaman Panulo & 1500.00 \\ \hline Pantago Cabral & 1150000 \\ \hline Rem. Hicamempio & 159000 \\ \hline Samukha Jouth & 2550.00 \\ \hline thatar Lnim & 3250000 \\ \hline Theas Jongruma & 1500.00 \\ \hline Whathoua heavery & 4400,00 \\ \hline Zecan Jouo & 3500,00 \\ \hline \end{tabular}
Determine a media de salanio dos funcionanos da duas Empresas b) Determine a Mediana Empresa Martere da Empresa Geral Junto. c) Indique a moda da Enmresa Marter e da Empresa Geral Junto d) Determine a Variância das duas Empresas e) Detemine o desvio Padrão

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Problem 2557

Ou know that $5 \times 9=45$ and $1 \times 9=9$ lat operation should you use to find 9? 4.1 Is 50.2 .1 (A) Addition (C) Multiplication (B) Subtraction (D) Division
Topic $2 \mid$ Lesson 2-2

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Problem 2558

(B) Simplify $\frac{5-3 \sqrt{2}}{6+5 \sqrt{2}}$ (2. Express $\frac{2 \sqrt{5}+5 \sqrt{2}}{2 \sqrt{5}-5 \sqrt{2}}$ in the form (9i) $q+r \sqrt{5}$ , where $q, r$ and $s$ are rational number

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Problem 2559

(i) Implify $\frac{5-3 \sqrt{2}}{6+5 \sqrt{2}}$ (2) Express $\frac{2 \sqrt{5}+5 \sqrt{2}}{2 \sqrt{5}-5 \sqrt{2}}$ in the Form (2)) $q+r \sqrt{5}$ , where $q, r$ and $s$ are national number

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Problem 2560

$\begin{array}{l} \text { recall } 7 \times 6 \\ 5 \times 6= \\ 2 \times 6=1 \\ 7 \times 6=1 \end{array}$
22. Communicate and Justify To he recall $3 \times 9$ automatically, would a 2s fact or a 5 s fact you know?
Ascssment Pricite $\qquad$
24. If you know that $5 \times 9=45$ and $1 \times$ what operation should you use to fi $6 \times 9 ?$ 4ka21

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Problem 2561

Which fraction is equivalent to $\frac{13}{26} ?$ $\frac{12}{40}$ $\frac{30}{36}$ $\frac{11}{20}$ $\frac{16}{32}$

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Problem 2562

Complete the description of the piecewise function graphed below. \{ $\square$ if $-6 \leq x \leq-$ $f(x)=\{$ $\square$ if $-2<x \leq 1$ \{ $\square$ if $1<x \leq 6$

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Problem 2563

(1) matrix question such as: if $A=\binom{2+f^{2}}{b+4}$ and $B$ (1) Find $A^{\prime}+B$ (iI) Find $(A+B)^{\prime}$ (iii) Prove that $(\pi+B)^{\prime}\left(A^{t}\right)^{t}=A$ (2) Algebra question such as (a) Simplify (1) $\log _{4} 256$ solve for $x$ in the following (II) $\log _{12}(5-x)=3 \log _{12} 2$ (5) Sketch the graphs of the fol Show only the relevant informat Do not plot the grephs in detai (i) $y=2 x-5$

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Problem 2564

A rainstorn in Fortland, Oregon, has wiped out the electricty in about $7 \%$ of the houscholds in the city. A management team in Portland has a big meeting tomorow, and all 6 members of the team are hard at work in their separate households, preparing their presentations. What is the probability that none of then has lost electricity in his/her houschold? Assume that their locations are spread out so that loss of electricity is independent among their housefiolds Round your response to at least three deamal places. (If necessary, consult a list of formulas.) $\square$

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Problem 2565

A man crosses a river in a boat. If he crosses the river in minimum time he takes 10 minutes with a drift 120 m . If he crosses the river taking shortest path, he takes 12.5 minutes. Assuming $\mathrm{v}_{\mathrm{b} / \mathrm{r}}>\mathrm{v}_{\mathrm{r}}$ , find (i) width of the river. (ii) velocity of the boat with respect to water. (iii) speed of the current.

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Problem 2566

Fill in the $P(X=x)$ values to give a legitimate probability distribution for the discrete random variable $X$ , whose possible values are $-4,-1,2,3$ , and 6 . \begin{tabular}{|c|c|} \hline Value $x$ of $X$ & $P(X=x)$ \\ \hline-4 & $\square$ \\ \hline-1 & $\square$ \\ \hline 2 & 0.10 \\ \hline 3 & 0.30 \\ \hline 6 & 0.24 \\ \hline \end{tabular}

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Problem 2567

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric bc 27 feet up. The ladder makes an angle of $62^{\circ}$ with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.

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Problem 2568

The table shown at the right gives $y$ as a function of $x$ , that is, $y=f(x)$ . Use the table to answer parts a through d below. \begin{tabular}{|l|c|c|c|c|c|c|c|} \hline $x$ & -7 & -3 & -5 & 3 & 11 & 19 & 25 \\ \hline $y=f(x)$ & 5 & 6 & 7 & 1 & 8 & 14 & 15 \\ \hline \end{tabular} a. Is -7 an input or an output of this function? b. Is $\mathrm{f}(-7)$ an input or an output of this function? c. State the domain and range of this function. d. Explain why this relationship describes y as a function of x . a. Is -7 an input or an output of this function? Choose the correct answer below. output input

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Problem 2569

Birdy Consulting Co. has the following accounts in its ledger: Cash, Accounts Receivable, Supplies, Office Equipment, Accounts Payable, Common Stock, Retained Earnings, Dividends, Fees Earned, Rent Expense, Advertising Expense, Utilities Expense, Miscellaneous Expense.
Journalize the following selected transactions for January 20 Y 2 in a two-column journal. Journal entry explanations may be omitted. If an amount box does not require an entry, leave it blank. Jan. 1. Paid rent for the month, $\$ 4,500$ .
4. Paid advertising expense, $\$ 2,840$ .
5. Paid cash for supplies, $\$ 1,220$ .
6. Purchased office equipment on account, $\$ 18,600$ .
12. Received cash from customers on account, $\$ 6,080$ .
20. Paid creditor on account, $\$ 1,780$ .
27. Paid cash for miscellaneous expenses, $\$ 770$ .
30. Paid utility (heating) bill for the month, $\$ 280$ .
31. Fees earned and billed to customers for the month, $\$ 40,500$ .
31. Paid utility (electricity) bill for the month, $\$ 490$ .
31. Paid dividends, $\$ 3,100$ . $20 Y 2$ Jan. 1 $\qquad$ $\qquad$
Jan. 4 $\qquad$

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Problem 2570

Determine if the graph in the figure represents $y$ as a function of x. Explain your reasoning.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Yes; each input is assigned exactly one output. B. No; one value of $x$ , $\square$ gives two values of $y$ .

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Problem 2571

\text{Find the domain and range of the function:} \\ f(x) = \sqrt{x+5}

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Problem 2572

EXPONENTS:-
1. Write the reciprocal of in exponential form a) $\left(-\frac{3}{11}\right)^{75}$ b) $(-7)^{11}$
2. Write 679000000 in standard form.
3. Write 900682 in Exponential form
4. $5^{0}+2^{0}+100^{0}-99^{0}=$ ?
5. Find the value of $x$ for $\left(\frac{5}{3}\right)^{-10} \times\left(\frac{5}{3}\right)^{22}=\left(\frac{5}{3}\right)^{16 x}$
6. $\left\{7^{2}\right\}^{5} \div\left\{(7)^{2}\right\}^{3}=$ ?
7. If $25^{(n-1)}+100=5^{(2 n-1)}$ then $n=$ ?
8. what is the value of $(2)^{2}\left(-\frac{1}{4}\right)^{4}$ b) $\left(-\frac{2}{3}\right)^{5}$
9. By what number should $(-20)^{-1}$ be divided to obtain $(-10)^{-1}$ ?

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Problem 2573

$3 x^{x}=3^{x+10}$

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Problem 2574

$\frac{2}{3}(6 x+15)=8$

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Problem 2575

The difference of two number is 6 . The first one is twice of another.

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Problem 2576

3. $\int 3 x^{4} d x$

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Problem 2577

8 $\begin{array}{l} \text { Let } g(x)=\left\{\begin{array}{ll} \frac{1-2 x}{4-x^{2}} & -3 \leq-3 \\ x^{2}-1 & x \geq x<3 \\ & x \geq 3 \end{array}\right. \\ \text { b. } g(0) \end{array}$

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Problem 2578

Find the the solution of the differential equations
1. $y^{\prime \prime}+y=\cot (x)$

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Problem 2579

1. Jennifer received a gift of R4 000 from her boyfriend. She deposited the money into a savings account. Three years later she received another gift of R5 000 from her boyfriend and deposited the money into the savings account. Calculate how much money Jennifer will have saved three years after her deposit of R5 000. Assume that the interest rate for the first two years of the savings period is $18 \%$ per annum compounded monthly and that it changes to $18 \%$ per annum compounded half-yearly for the remaining four years.
2. Mvelo decides to start an emergency savings account for the future. He deposits R6 000 into a savings account. Three years later, he deposits a further R8 000 into the account. Four years after this, he deposits a further R10 000 into the account. The interest rate for the first four years is $14 \%$ per annum compounded semi-annually. For the next three years the interest rate increases to $15 \%$ per annum compounded quarterly. Calculate the future value of the savings at the end of the seven-year period.
3. Jason wants to travel overseas in six years' time. He invests R15000 in a savings account in order to save up for the overseas trip. The interest rate for the six-year period is $13 \%$ per annum compounded semi-annually. At the end of the fourth year he runs into financial difficulty and withdraws R3 000 from the account. How much money will he have saved at the end of the six-year period?
4. Mandy has just finished reading a book on the importance of saving for the future. She immediately opens a savings account and deposits R5 000 into the account. Two years later, she deposits a further R6 000 into the account. Thirty six months later, she withdraws R3 000 to buy a birthday gift for her husband. The interest rate during the first three years of the investment is $8 \%$ per annum compounded monthly. The interest rate then changes to $9 \%$ per annum compounded quarterly. Calculate the value of Mandy's investment two years after her withdrawal of R3 000.

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Problem 2580

Q1. Find the area of shaded region in the given figure

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Problem 2581

Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm . The length of the common chord is (A) 12 cm (B) 8 cm (C) 6 cm (D) 5 cm

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Problem 2582

QUESTION 7 In the diagram below, $T Q R$ represents three points in a horizontal plane on a sportsfield. PQ represents a vertical flagpole.
The angle of elevation of the top of the pole from R is equal to $\theta \cdot \widehat{\mathrm{T}}=\theta \cdot \mathrm{TQ}=\mathrm{TR}=y$ . $\mathrm{QR}=x$ units. $\mathrm{TQ} \mathrm{R}=\alpha$ . 7.1 Express $\theta$ in terms of $\alpha$ and show that $\sin \theta=\sin 2 \alpha$ 7.2 Hence, prove that in $\triangle \mathrm{PQR}: \mathrm{PR}=\frac{2 y \cos \alpha}{\cos \theta}$ 7.3 If $\alpha=49^{\circ} ; x=20 \mathrm{~m}$ and $y=15 \mathrm{~m}$ , calculate the area of $\Delta \mathrm{TQR}$ .

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Problem 2583

\documentclass{article} \usepackage{amsmath} \begin{document}
الدالة العددية المعرفية $f$ تشكلها البياني (C C) القابل للقراءة بيانياً:
\begin{enumerate} \item حدد نهايات الدالة $f$ عند حدود مجموعة التعريف. \item عين النهايات التالية: \begin{itemize} \item $\lim_{x \rightarrow -\infty} \frac{f(x)}{x}$ \item $\lim_{x \rightarrow +\infty} \frac{f(x)}{x}$ \item $\lim_{x \rightarrow -\infty} [f(x) + x]$ \item $\lim_{x \rightarrow +\infty} [f(x) - x]$ \end{itemize} \end{enumerate}

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Problem 2584

1) Find the value of $\sin 75^{\circ}$

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Problem 2585

The sequence $1,-\frac{1}{4}, \frac{1}{9},-\frac{1}{16}, \frac{1}{25}, \ldots$ is (a) monotonic (b) telescoping (c) diverging (d) bounded

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Problem 2586

Exercise 15.3.14: Combine the sum of the two double integrals as a single double integral $\int_{-1}^{0} \int_{0}^{\sqrt{1-x^{2}}} f(x, y) d y d x+\int_{0}^{1} \int_{0}^{1-x} f(x, y) d y d x$

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Problem 2587

Which of the following fractions are equivalent fractions (a) \begin{tabular}{|c|c|c|} \hline $\frac{8}{10}$ & $\frac{12}{15}$ & $\frac{6}{20}$ \\ \hline \end{tabular} (b)

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Problem 2588

1. $\lim _{x \rightarrow \infty}\left[\left(x^{3}+x^{2}\right)^{\frac{1}{3}}-x\right]$

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Problem 2589

Age of a father is double the age of son. TFiferences of their ages is 36 find their ages.

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Problem 2590

Given the following data in measuring a distance of a certain line. \begin{tabular}{|l|l|} \hline DISTANCE & NO. OF MEASUREMENTS \\ \hline 740.53 & 4 \\ \hline 740.59 & 3 \\ \hline 740.57 & 6 \\ \hline 740.53 & 7 \\ \hline \end{tabular}
Calculate the standard deviation of any single observation (A) $\pm 0.0037$ (B) $=0.0167$ (C) $\pm 0.0247$ (D) $=0.0055$

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Problem 2591

A kayaker spends 2 hours paddling up a stream from point $A$ to point $B$ , quickly turns her kayak around, and immediately heads back downstream. It takes her only 1 hour to float back down the stream from point $B$ to point $A$ . If points $A$ and $B$ are 6 miles apart, what was the kayaker's average rate of speed in miles per hour? A. 12 mph B. 6 mph C. 4 mph D. 2 mph

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Problem 2592

using zeroes, intercepts, asymptote, Rational functions solve $f(x)=\frac{2 x-1}{x+3}$

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Problem 2593

$\begin{array}{l}y=t-\sin t \\ x=1-\cos t\end{array}$

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Problem 2594

Given the following data in measuring a distance of a certain line. \begin{tabular}{|l|l|} \hline DISTANCE & NO. OF MEASUREMENTS \\ \hline 740.53 & 4 \\ \hline 740.59 & 3 \\ \hline 740.57 & 6 \\ \hline 740.53 & 7 \\ \hline \end{tabular}
Calculate the standard error of the mean (A) $\pm 0.0037$ (B) $\pm 0.0247$ (C) $\pm 0.0055$ (D) $=0.0167$

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Problem 2595

4 Points
A distance was measured ten times and the average distance was found to be 554.215 m . If two measurements 559.125 m and 550.234 m are deleted from the data as being inconsistent with the other measurement, then the average of the remaining eight measurement is: (A) 554.215 m (B) 554.099 m (C) 554.315 m (D) 554.135 m
Last saved 9:08:45 PM

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Problem 2596

I purchased a hair - drayer for ${ }^{`} 4,550$ izuding $4^{\circ}$ VAT. Find the price before VA` was added?
MENSURA ION

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Problem 2597

I. Prove or disprove the following identities. Show your solutions. Provide a separate sheet of paper if necessary.
1. $(\sin x+\cos x)^{2}=1+2 \sin x \cos x$
2. $\frac{\cos ^{2} x-\sin ^{2} x}{\sin x \cos x}=\cot x-\tan x$
3. $\frac{3 \cos ^{2} z+5 \sin z-5}{\cos ^{2} z}=\frac{3 \sin z-2}{1+\sin z}$
4. $\tan \left(\frac{\pi}{2}-x\right)=\cot x$
5. $\tan x-\tan y=\frac{\sin (x-y)}{\cos x \cos y}$
6. $\frac{\csc x-\sin x}{\sin x \csc x}=\csc x-\sin x$
7. $\sec y+\tan y=\frac{\cos y}{1-\sin y}$
8. $\frac{\cos ^{2} x-\sin ^{2} x}{1-\tan ^{2} x}=\cos ^{2} x$
9. $\frac{\sin x}{\cos x+1}+\frac{\cos x-1}{\sin x}=0$
10. $\frac{\sin ^{2} \theta+\cos ^{2} \theta+\cot ^{2} \theta}{1+\tan ^{2} \theta}=\cot ^{2} \theta$

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Problem 2598

Divide and simpily $\frac{5}{6} \div\left(-\frac{13}{7}\right)$ $\frac{5}{6}-\left(-\frac{13}{7}\right)=$ $\square$ (Type an intoger or a sumplificad haction)

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Problem 2599

17. Considere a funçáo $f$ definida por $f(x)=\left\{\begin{array}{lr} \operatorname{tg}(4 x) & \text { se } x>0 \\ \operatorname{sen}(5 x)-x & \text { se } x \leq 0 \end{array}\right.$ 17.1 Estude a continuidade de $f$ em $x=0$ . 17.2 Averigúe se $f$ é difrenciável em $x=0$ . Em caso afirmativo, indique o valor de $f^{\prime}(0$

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Problem 2600

The graph of $y$ concave downward for $a<x<b$
صح خطأ

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Math

Problem 2501

Problem 2502

Problem 2503

Problem 2504

Problem 2505

Problem 2506

Problem 2507

Problem 2508

Problem 2509

Problem 2510

List the interval(s) on which fff is increasing.The interval(s) on which fff is increasing is/are □\square□. (Type your answer in interval notation. Use a comma to separate answers as needed.)

Problem 2511

(4) measang thamee subtraction problems into addition problems as a first step. b. −2+4-2+4−2+4 c. 3−(−4)3-(-4)3−(−4) d. −1−(−5)-1-(-5)−1−(−5)3. Modet the following problems using a number line and record your answer. Remember that the arrow's direction indicates

Problem 2512

Problem 2513

Problem 2514

Problem 2515

CD is a diameter of the circle and the circle is tangent to both axes. Quantity BBB Quantity A n m Quantity A is greater. Quantity BBB is greater. The two quantities are equal. The relationship cannot be determined from the information given.

Problem 2516

Tentukan nllai f(x)=22x−4f(x)=2^{2 x-4}f(x)=22x−4 Jika x=3x=3x=3

Problem 2517

Temporary Employment in Germany, 1993-1999 00:20:09 9 Hibotics 185,000 19,000 35,000

Problem 2518

Problem 2519

A certain manufacturer determines that the profit PPP, in dollars, generated by producing xxx units of a product is given by the formula P=0.1x(100−x)P=0.1 x(100-x)P=0.1x(100−x). Which of the following values of xxx will result in a profit hast is positive?Indicate all such values. 60 75 90 105

Problem 2520

I. In Exercises 1-5, refer to the triangle in the drawing to find the indicated trigonometric function values.1. sin⁡θ=\sin \theta=sinθ=2. cos⁡θ=\cos \theta=cosθ=3. csc⁡θ=\csc \theta=cscθ=4. sec⁡θ=\sec \theta=secθ=5. tan⁡θ=\tan \theta=tanθ=

Problem 2521

Problem 2522

Problem 2523

Carla buys a dress that costs $20.00\$ 20.00$20.00. She pays 7%7 \%7% sales tax. How much does she pay for the dress, with tax? A. $7.00\$ 7.00$7.00 B. $21.40\$ 21.40$21.40 C. $$34.00\$ \$ 34.00$$34.00 D. $27.00\$ 27.00$27.00

Problem 2524

2Mrs. Santos has two kinds of flowers in her garden. The ratio of lilies to daisies in the garden is 3:23: 23:2 If there are 12 lilies, what is the total number of flowers in her garden? A. 10 B. 24 C. 8 D. 20

Problem 2525

L(sec⁡2tcot⁡2t)=L(\sec 2 t \cot 2 t)=L(sec2tcot2t)=

Problem 2526

The equation y=12xy=\frac{1}{2} xy=21​x represents a proportional relationship. What is the constant of proportion A. xxx B. 0 C. 12\frac{1}{2}21​ D. 2

Problem 2527

Problem 2528

The diagram show part of the curve y=3−182x+3y=3-\frac{18}{2 x+3}y=3−2x+318​. The normal to the curve at x=3x=3x=3 intersects the yyy-axis at AAA. Find the exact area of the shaded region.

Problem 2529

Let's estimate 83.39×0.7283.39 \times 0.7283.39×0.72 by rounding each number to the place of its leftmost nonzero digit.First round 83.39 to the nearest ten. 83.39 rounds to □\square□ Now round 0.72 to the nearest tenth. 0.72 rounds to □\square□ Multiply the rounded numbers. □\square□

Problem 2530

Let's estimate 0.434×6.590.434 \times 6.590.434×6.59 by rounding each number to the place of its leftmost nonzero digit.First round 0.434 to the nearest tenth. 0.434 rounds to □\square□ Now round 6.59 to the nearest one. 6.59 rounds to □\square□ Multiply the rounded numbers. □\square□

Problem 2531

Solve the following proportion for UUU. u8=53\frac{u}{8}=\frac{5}{3}8u​=35​Round your answer to the nearest tenth. u=u=u= □\square□

Problem 2532

A total of 342 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold? □\square□ adult tickets

Problem 2533

Problem 2534

On Monday, a local hamburger shop sold a combined total of 416 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday? □\square□ hamburgers

Problem 2535

Solve the following proportion for UUU. u8=53\frac{u}{8}=\frac{5}{3}8u​=35​Round your answer to the nearest ter u=u=u= □\square□

Problem 2536

Solve the following proportion for yyy. 73=y8\frac{7}{3}=\frac{y}{8}37​=8y​Round your answer to the nearest tent y=y=y=

Problem 2537

Write 1.2%1.2 \%1.2% as a fraction in simplest form. □\square□

Problem 2538

Problem 2539

10. Tomas asked 15 students whether summer break should be longer. He used his calculator to divide the number of students who said yes by the total number of students. His calculator showed the result as 0.9333…0.9333 \ldots0.9333… a. Write this number as a fraction.

Problem 2540

Problem 2541

8.1 L−1(se−2ss2+2s)=u2(t)e−(t−2)[cosh⁡(t−2)−sinh⁡(t−2)]\quad L^{-1}\left(\frac{s e^{-2 s}}{s^{2}+2 s}\right)=u_{2}(t) e^{-(t-2)}[\cosh (t-2)-\sinh (t-2)]L−1(s2+2sse−2s​)=u2​(t)e−(t−2)[cosh(t−2)−sinh(t−2)]

Problem 2542

Problem 2543

Problem 2544

2m2+m−152m^{2} + m - 152m2+m−15

Problem 2545

Problem 2546

1. Determine if the following ratios are in proportion. a. 20 g:200 g,700 g:7 kg20 \mathrm{~g}: 200 \mathrm{~g}, 700 \mathrm{~g}: 7 \mathrm{~kg}20 g:200 g,700 g:7 kg b. 500ml:750 ml,80 kg:100 kg500 \mathrm{ml}: 750 \mathrm{~m} l, 80 \mathrm{~kg}: 100 \mathrm{~kg}500ml:750 ml,80 kg:100 kg

Problem 2547

Problem 2548

∫(5x2−8x+5)dx\int\left(5 x^{2}-8 x+5\right) d x∫(5x2−8x+5)dx

Problem 2549

Problem 2550

L−1(e−3ss(s−2)2+16)=e2(t−3)cos⁡4(t−3)L^{-1}\left(\frac{e^{-3 s} s}{(s-2)^{2}+16}\right)=e^{2(t-3)} \cos 4(t-3)L−1((s−2)2+16e−3ss​)=e2(t−3)cos4(t−3)

Problem 2551

TEGN VISERNEKlokken er kvart over 1 Klokken er kvart i 7 Klokken er halv 12 Klokken er kvart i 5 Klokken er kvart over 9 Klokken er halv 10 Klokken er kvart over 4 Klokken er kvart i 9 Klokken er halv 8 LER SELV DANSKFOR BORN - FORLAGET ELYSION - KOPIERINGFORBUDT SID

Problem 2552

List the interval(s) on which $f$ is increasing.
The interval(s) on which $f$ is increasing is/are $\square$ . (Type your answer in interval notation. Use a comma to separate answers as needed.)

(4) measang thamee subtraction problems into addition problems as a first step. b. $-2+4$ c. $3-(-4)$ d. $-1-(-5)$
3. Modet the following problems using a number line and record your answer. Remember that the arrow's direction indicates

CD is a diameter of the circle and the circle is tangent to both axes. Quantity $B$ Quantity A n m Quantity A is greater. Quantity $B$ is greater. The two quantities are equal. The relationship cannot be determined from the information given.

Tentukan nllai $f(x)=2^{2 x-4}$ Jika $x=3$

A certain manufacturer determines that the profit $P$ , in dollars, generated by producing $x$ units of a product is given by the formula $P=0.1 x(100-x)$ . Which of the following values of $x$ will result in a profit hast is positive?
Indicate all such values. 60 75 90 105

I. In Exercises 1-5, refer to the triangle in the drawing to find the indicated trigonometric function values.
1. $\sin \theta=$
2. $\cos \theta=$
3. $\csc \theta=$
4. $\sec \theta=$
5. $\tan \theta=$

Carla buys a dress that costs $\$ 20.00$ . She pays $7 \%$ sales tax. How much does she pay for the dress, with tax? A. $\$ 7.00$ B. $\$ 21.40$ C. $\$ \$ 34.00$ D. $\$ 27.00$

2
Mrs. Santos has two kinds of flowers in her garden. The ratio of lilies to daisies in the garden is $3: 2$ If there are 12 lilies, what is the total number of flowers in her garden? A. 10 B. 24 C. 8 D. 20

$L(\sec 2 t \cot 2 t)=$

The equation $y=\frac{1}{2} x$ represents a proportional relationship. What is the constant of proportion A. $x$ B. 0 C. $\frac{1}{2}$ D. 2

The diagram show part of the curve $y=3-\frac{18}{2 x+3}$ . The normal to the curve at $x=3$ intersects the $y$ -axis at $A$ . Find the exact area of the shaded region.

Let's estimate $83.39 \times 0.72$ by rounding each number to the place of its leftmost nonzero digit.
First round 83.39 to the nearest ten. 83.39 rounds to $\square$ Now round 0.72 to the nearest tenth. 0.72 rounds to $\square$ Multiply the rounded numbers. $\square$

Let's estimate $0.434 \times 6.59$ by rounding each number to the place of its leftmost nonzero digit.
First round 0.434 to the nearest tenth. 0.434 rounds to $\square$ Now round 6.59 to the nearest one. 6.59 rounds to $\square$ Multiply the rounded numbers. $\square$

Solve the following proportion for $U$ . $\frac{u}{8}=\frac{5}{3}$
Round your answer to the nearest tenth. $u=$ $\square$

A total of 342 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold? $\square$ adult tickets

On Monday, a local hamburger shop sold a combined total of 416 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday? $\square$ hamburgers

Solve the following proportion for $U$ . $\frac{u}{8}=\frac{5}{3}$
Round your answer to the nearest ter $u=$ $\square$

Solve the following proportion for $y$ . $\frac{7}{3}=\frac{y}{8}$
Round your answer to the nearest tent $y=$

Write $1.2 \%$ as a fraction in simplest form. $\square$

10. Tomas asked 15 students whether summer break should be longer. He used his calculator to divide the number of students who said yes by the total number of students. His calculator showed the result as $0.9333 \ldots$ a. Write this number as a fraction.

8.1 $\quad L^{-1}\left(\frac{s e^{-2 s}}{s^{2}+2 s}\right)=u_{2}(t) e^{-(t-2)}[\cosh (t-2)-\sinh (t-2)]$

$2m^{2} + m - 15$

1. Determine if the following ratios are in proportion. a. $20 \mathrm{~g}: 200 \mathrm{~g}, 700 \mathrm{~g}: 7 \mathrm{~kg}$ b. $500 \mathrm{ml}: 750 \mathrm{~m} l, 80 \mathrm{~kg}: 100 \mathrm{~kg}$

$\int\left(5 x^{2}-8 x+5\right) d x$

$L^{-1}\left(\frac{e^{-3 s} s}{(s-2)^{2}+16}\right)=e^{2(t-3)} \cos 4(t-3)$

TEGN VISERNE
Klokken er kvart over 1 Klokken er kvart i 7 Klokken er halv 12 Klokken er kvart i 5 Klokken er kvart over 9 Klokken er halv 10 Klokken er kvart over 4 Klokken er kvart i 9 Klokken er halv 8 LER SELV DANSKFOR BORN - FORLAGET ELYSION - KOPIERINGFORBUDT SID

b. Find the direction derivatives of $\phi=x^{2} y z+4 x z^{2}$ at $(1,-2,-1)$ in the direction $2 i-j-2 k$

$2m^{2} + m - 15$

Ou know that $5 \times 9=45$ and $1 \times 9=9$ lat operation should you use to find 9? 4.1 Is 50.2 .1 (A) Addition (C) Multiplication (B) Subtraction (D) Division
Topic $2 \mid$ Lesson 2-2

(B) Simplify $\frac{5-3 \sqrt{2}}{6+5 \sqrt{2}}$ (2. Express $\frac{2 \sqrt{5}+5 \sqrt{2}}{2 \sqrt{5}-5 \sqrt{2}}$ in the form (9i) $q+r \sqrt{5}$ , where $q, r$ and $s$ are rational number

(i) Implify $\frac{5-3 \sqrt{2}}{6+5 \sqrt{2}}$ (2) Express $\frac{2 \sqrt{5}+5 \sqrt{2}}{2 \sqrt{5}-5 \sqrt{2}}$ in the Form (2)) $q+r \sqrt{5}$ , where $q, r$ and $s$ are national number

Which fraction is equivalent to $\frac{13}{26} ?$ $\frac{12}{40}$ $\frac{30}{36}$ $\frac{11}{20}$ $\frac{16}{32}$

Complete the description of the piecewise function graphed below. \{ $\square$ if $-6 \leq x \leq-$ $f(x)=\{$ $\square$ if $-2<x \leq 1$ \{ $\square$ if $1<x \leq 6$

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric bc 27 feet up. The ladder makes an angle of $62^{\circ}$ with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.

$3 x^{x}=3^{x+10}$

$\frac{2}{3}(6 x+15)=8$