Browse Math problems Studdy Solved!

Problem 39201

If you had excess aluminum, how many moles of aluminum chloride could be produced from 19.0 g of chlorine gas, $\mathrm{Cl}_{2}$ ? Express your answer to three significant figures and include the appropriate units.

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Problem 39202

Determine la media aritmética, la mediana y la moda de la siguiente serie de úmeros: $5,3,6,5,4,5,2,8,6,5,4,8,3,4,5,4,8,2,5,4$ .
Las puntuaciones obtenidas por un grupo en una prueba han sido: 15, 13, 16, 15, $19,18,15,14,18$ . Determine la moda, la mediana y la media aritmética
4. Dada la siguiente tabla de frecuencias: Calcular la desviación estándar y la varianza. \begin{tabular}{|c|c|c|} \hline \multicolumn{2}{|c|}{ Inter vall } \\ \hline $[10,15)$ & 12,5 & 3 \\ \hline $[15,20)$ & 17,5 & 5 \\ \hline $[20,25)$ & 22,5 & 7 \\ \hline $[25,30)$ & 27,5 & 4 \\ \hline $[30,35)$ & 32,5 & 2 \\ \hline \multicolumn{2}{|l|}{} & $n=21$ \\ \hline \end{tabular}

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Problem 39203

Question 12
Evaluate the function. Round answers to four decimal places, if necessary. $\begin{array}{l} f(x)=e^{x}, \text { for } f(2) . \\ f(2)=\square \end{array}$ $\square$ Question Help: ${ }^{-1}$ Written Example Submit Question

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Problem 39204

Derivar $f(x) = \frac{2x+3}{x-5}$ .

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Problem 39205

Solve the exponential equation. Express irrational solutions in exact form. $6^{x}=7$
What is the exact answer? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression. Type an exact answer, using radicals as needed.) - The solution is $x=$ $\square$ There is no solution.

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Problem 39206

4. ( $6 p \mathrm{ts}$ ) A $4.0-\mathrm{kg}$ block is attached to a vertical pole by two 2.0 m ropes. The 3.0 m long pole rotates such that the block swings in a horizontal circle at a constant speed of 6.0 $\mathrm{m} / \mathrm{s}$ . (a) Draw an FBD of the block at the instant shown. Include the direction of centripetal acceleration. (b) Find the magnitude of the centripetal acceleration. (c) Find the tension in each rope.

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Problem 39207

1. How much interest have you earned when you invest $\$ 500$ earning $5.9 \%$ in simple interest over 39 months? \#

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Problem 39208

Evaluate $\frac{d}{d x} \int_{a}^{x} f(t) d t$ and $\frac{d}{d x} \int_{a}^{b} f(t) d t$ , where $a$ and $b$ are constants. $\frac{d}{d x} \int_{a}^{x} f(t) d t=f(x)$ (Simplify your answer.) $\frac{d}{d x} \int_{a}^{b} f(t) d t=\square$ (Simplify your answer.)

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Problem 39209

For each context, define variables, write a linear system modeling the situation, solve it, and answer the questions.
3. At Culver's, Fern purchased 4 Butterburgers and one small soda for a total cost of $\$ 12.85$ . The price of the soda was $\$ 1.10$ less than the price of a Butterburger. What is the price of a Butterburger? What is the price of a small soda?

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Problem 39210

8. If a house is 40 feet long, 35 feet wide, and the top of the roof is 27 feet above ground level, what will the corresponding dimensions be of a model built so that 1 foot is represented by $\frac{1}{2}$ inch?

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Problem 39211

MOTIVACIÓN Se realizó una encuesta a un grupo de 26 personas, preguntándoles cuál era su lugar preferido para pasear en familia, por lo que respondieron: Ahora, responde: a. ¿Cuántos votos hay del zoológico como lugar preferido? b. ¿Cuál fue el lugar que más votos tuvo como lugar preferido? \begin{tabular}{|c|c|} \hline & Lugares preferidos para pasear \\ \hline zoologico & \\ \hline parque & A 4 \\ \hline cine & $\Delta 4 \Delta \Delta$ \\ \hline circo & $\Delta$ a \\ \hline museo & A A $A$ \\ \hline \multicolumn{2}{|l|}{ $\operatorname{coda} \Delta=1$ voto} \\ \hline \end{tabular}

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Problem 39212

1. Clasifica las siguientes variables en: cuantitativa (continua, discreto) o cualitativa (nominal, ordinal)
2. Realizamos un estudio para conocer el número de televisores que hay en cada vivienda en una determinada zona de la ciudad y obtenemos los siguientes datos: $\begin{array}{l} 1,1,2,2,2,2,0,0,4,3,2,3,4,3,4,1,1,1,2,0,3,4,2,2,4 \\ 4,2,1,4,1,1,1,2,2,2,2,1,1,1,2,2,1,1,3,3,1,1,2,2,1 \end{array}$
Construye el diagrama de barras, histograma y circular

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Problem 39213

1. Clasifica las siguientes variables en: cuantitativa (continua, discreto) o cualitativa (nominal, ordinal)
2. Realizamos un estudio para conocer el número de televisores que hay en cada vivienda en una determinada zona de la ciudad y obtenemos los siguientes datos: $\begin{array}{l} 1,1,2,2,2,2,0,0,4,3,2,3,4,3,4,1,1,1,2,0,3,4,2,2,4 \\ 4,2,1,4,1,1,1,2,2,2,2,1,1,1,2,2,1,1,3,3,1,1,2,2,1 \end{array}$
Construye el diagrama de barras, histograma y circular

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Problem 39214

8. Barry and Kenneth order pasta for $\$ 5.05$ , salad for $\$ 4.40$ , and 2 glasses of lemonade for $\$ 2.35$ each. The tax is $\$ 1.15$ . How much change should they get from $\$ 20.00$ ?

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Problem 39215

Kwasi bought 15 postage stamps for $\$ 8.25$ . All stamps cost the same amount. How much will 12 stamps cost? dollars
How many stamps can Kwasi purchase with \$22? Submit

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Problem 39216

The speed of light is $3 \times 10^{8} \mathrm{~m} / \mathrm{s}$ . If a star is $780,000,000,000$ meters from Earth, how many seconds does it take light to travel from the Earth to the star? Enter your answer in scientific notation. $\square$ Submit Question

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Problem 39217

Domain fungsi $g(x)=\sqrt{\frac{4-x^{2}}{x^{2}-x-6}}$ adalah...

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Problem 39218

How much would you have in 7 years if you purchased a $\$ 1,0007$ -year savings certificate that paid $2 \%$ compounded quarterly? (Round your answer to the nearest cent.) \\square$ Need Help? Read It

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Problem 39219

Find the cost of a home in 30 years, assuming an annual inflation rate of $4 \%$ (compounded annually), If the present value of the house is $\$ 210,000$ . (Round your answer to the nearest cent.) \\square$ Need Help? Read It Watch it

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Problem 39220

$\int x^{2} \cos x^{3} d x=$

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Problem 39221

Evaluate the function. Round answers to four decimal places, if necessary. $\begin{array}{l} f(x)=-\frac{4}{5}(4)^{-x}+\frac{4}{5}, \text { for } f(2) \\ f(2)=\square \end{array}$ $\square$ Question Help: Written Example Submit Question

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Problem 39222

Suppose that an insurance agent offers you a policy that will provide you with a yearly income of $\$ 268,000$ in 30 years. What is the comparable annual salary today, assuming an annual inflation rate of $4 \%$ (compounded annually)? (Round your answer to the nearest cent.) \\square$ Need Help? Read It Watch it

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Problem 39223

Find the area of the region bounded by the graph of $f(x)=\boldsymbol{\operatorname { s i n }} x$ and the $x$ -axis on the interval $[-\pi / 3,2 \pi / 3]$ . he area is $\square$ Type an exact answer, using radicals as needed.)

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Problem 39224

Divide as indicated. Simplify the answer. $\begin{array}{r} \frac{a-b}{5 a+5 b} \div \frac{a^{2}-b^{2}}{a^{2}+4 a+4} \\ \frac{a-b}{5 a+5 b} \div \frac{a^{2}-b^{2}}{a^{2}+4 a+4}=\square \end{array}$ $\square$

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Problem 39225

Find the absolute maximum and minimum of the function $f(x) = \sin(x) - \cos(x)$ over the interval $[0, \pi]$ .

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Problem 39226

The U.S. Dept of Transportation can complete a study on driving habits in 6 months. The U.S. Dept of Commerce can complete the same study in 10 months. How many months will it take to complete the study of driving habits if the two departments are working together?
HINT: Let us ignore reality and instead pretend that two bloated government bureaucracies will behave cooperatively and responsibly with your tax dollars.
Total Time $=$ $\square$ Answers may be written as unsimplified fractions or as decimals. If you choose decimals, round your answer to the nearest tenth decimal place.

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Problem 39227

Graph the circle which is centered at $(-7,-6)$ and has a radius of 2 units.

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Problem 39228

Your flight has been delayed: At Denver International Airport, $82 \%$ of recent flights have arrived on time. A sample of 11 flights is studied.
Round the probabilities to at least four decimal places.
Part 1 of 4 (a) Find the probability that all 11 of the flights were on time.

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Problem 39229

What is the average distance between the parabola $y=10 x(20-x)$ and the $x$ -axis on the interval $[0,20]$ ?
The average distance is $\square$ . (Type an integer, proper fraction, or mixed number.)

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Problem 39230

Despite having no experience or background qualifications, Susie has yet again been hired at a new job based on her excellent math skills and interviewing bravado. She is now running a greenhouse farm in Bluffdale to provide fresh and locally-grown year-round strawberries.
A runaway tractor has just destroyed one end of the greenhouse in the middle of winter. Susie's team of strawberry pickers could normally harvest all of the strawberries in 12 hours, but she only has 4 hours until sunset when frost will begin to destroy the crop.
How many day laborers must Susie immediately hire, in addition to her regular team, to complete the job in 4 hours? Assume each day laborer could do the job single handedly in 45 hours.
Number of Additional Workers = $\square$ HINT: Remember that Susie cannot hire fractions of workers... enter your answer as an integer!

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Problem 39231

5. Marie-Claude has a series of four nested funnels in her kitchen that are similar to the one shown in the diagram. If the other three funnels have top diameters of $10 \mathrm{~cm}, 8 \mathrm{~cm}$ , and 6 cm , find the measures of the remaining parts for all three funnels.

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Problem 39232

Using the areas in Figure (the Empirical Rule), find the areas between $z=\mathbf{1}$ and $z=\mathbf{2}$ Done

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Problem 39233

Divide as indicated. Simplify the answer. $\begin{array}{l} \frac{a-b}{4 a+4 b} \div \frac{a^{2}-b^{2}}{a^{2}+6 a+9} \\ \frac{a-b}{4 a+4 b} \div \frac{a^{2}-b^{2}}{a^{2}+6 a+9}=\square \end{array}$ $\square$

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Problem 39234

Dr. Heather runs a pharmacy, and the biggest customer is a local psych ward for mentally unstable criminals. An emergency order comes in that whld normally take Heather 60 minutes to fill. Heather asks the high school intern Chris for help, even though Chris is dangerously unqualified. Together they fill the order in 45 minutes.
How many minutes would it have taken Chris alone to fill the order?
Chris's Time $=$ $\square$ Answers may be written as unsimplified fractions or as decimals. If you choose decimals, round your answer to the nearest tenth decimal place.

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Problem 39235

$\text{Given a triangle with } B = 40^\circ, \, b = 6, \, c = 9.$ $\text{Solve for the angle } C, \text{ the angle } A, \text{ and the side } a.$

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Problem 39236

1. Jennifer says that $\sin A=\frac{6}{14}, \cos A=\frac{8}{14}$ , and $\tan A=\frac{6}{8}$ . Do you agree or disagree? If you agree, explain why. If you disagree, explain what she did incorrectly and provide the correct solution.

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Problem 39237

$1 \mathrm{R} \times 8 \mathrm{C}$ Accessibility tab summary: Financial information Adam's corporation is presented in rows 2 to 17.
1 $\square$ A B c D E F
2 Adams Corporation evaluates divisional managers based on ROI. Operating results for the company's Northern Division for last year are given below: 3 \begin{tabular}{|l|r|} \hline Sales & \\ \hline Variable expenses & $\$ 27,000,000$ \\ \hline Contribution margin & $16,200,000$ \\ \hline Fixed expenses & $10,800,000$ \\ \hline Net operating income & $8,805,000$ \\ \hline & $\$ 1,995,000$ \\ \hline Divisional operating assets & \\ \hline \end{tabular}
10 Divisional operating assets 11 12 The Northern Division has an opportunity to add a new product line as follows: 13 \begin{tabular}{|lr|} \hline Required investment & $\$ 2,500,000$ \\ Net operating income & $\$ 400,000$ \\ \hline \end{tabular}
14 Required investment 15 16 \begin{tabular}{|c|c|c|c|c|} \hline \multirow[t]{2}{}{Adams Corporation's minimum acceptable rate of return} & \multirow[t]{2}{}{15\%} & & & \\ \hline & & & & \\ \hline Required: & & & & \\ \hline Compute the following: & & & & \\ \hline \end{tabular}
Compute the following: (Use cells $\mathbf{A 4}$ to $\mathbf{B 1 7}$ from the given information to complete this question.) ``` 23 24 1. Northern Division ROI for last year 25 26 2. Northern Division ROI if new product line is added 27 28 3. Determine whether the Northern Division manager will ACCEPT or REJECT the new product line based on ROI. 29 30 4. Northern Division residual income for last year 31 325.Northern Division residual income if the new product line is added 33 ```
34 6. Determine whether the Northern Division manager will ACCEPT or REJECT the new product line based on residual income.

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Problem 39238

$f(x)=\frac{-4(x+1)(x-3)}{(x-2)(x-6)}$
Graph the following key features of $f(x)$ : 1) $y$ -intercept 2) $x$ -intercept(s) 3) vertical asymptote(s)

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Problem 39239

$f(x)=\frac{-5 x^{2}+10 x+40}{4 x^{2}-4 x-8}$
Graph the following key features of $f(x)$ : 1) $y$ -intercept 2) $x$ -intercept(s) 3) vertical asymptote(s)

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Problem 39240

4. Determine the values of $\theta$ if $0 \leq \theta \leq 2 \pi$ given that $\cos \theta=-0.3178$ [ 5 marks]

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Problem 39241

Consider the functions $g(x)$ and $f(x)$ , and evaluate the expressions below: $\begin{array}{l} g(x)=3 x+6 \\ f(x)=-4 x-6 \\ g(2)=\square \\ f(2)=\square \\ g(f(x))=\square \\ g(f(2))=\square \end{array}$

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Problem 39242

Use the Distance Formula $d=\sqrt{r_{1}^{2}+r_{2}^{2}-2 r_{1} r_{2} \cos \left(\theta_{1}-\theta_{2}\right)}$ to find the distance between the two points in polar coordinates. (Round your answer to one decimal place.) $\left(2, \frac{5 \pi}{6}\right),\left(5, \frac{\pi}{3}\right)$

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Problem 39243

14. $m \angle R=$ $\qquad$ $R M=$ $\qquad$

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Problem 39244

If $f(x)=-5 x+1$ , then $f^{-1}(x)=$ $\square$
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Problem 39245

Write an integral that represents the area of the shaded region of the figure. Do not evaluate the integral. $r=7 \sin (\theta)$ (i) $A=\int_{0}^{\square}(\square) d \theta$

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Problem 39246

11 a Find $\int \frac{2}{x} d x$ .

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Problem 39247

5. Find the solution to differential equations $\frac{d y}{d x}+\frac{2 y}{x}=\frac{\sin (x)}{x^{2}}$

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Problem 39248

8. Find the solution to differential equations $=\left(x^{3} y^{3}+1\right) d x+x^{4} y^{2} d y=0$

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Problem 39249

$f(x)=\frac{-2 x^{2}-10 x-8}{x^{2}+x-2}$
Graph the following key features of $f(x)$ : 1) $y$ -intercept(s) 2) $x$ -intercept(s) 3) vertical asymptote(s) 4) horizontal asymptote(s)

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Problem 39250

$f(x)=\frac{18 x+72}{x^{2}-A^{2 x-24}}$
Graph the following key features of $f(x)$ : 1) $y$ -intercept(s) 2) $x$ -intercept(s) 3) vertical asymptote(s) 4) horizontal asymptote(s)

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Problem 39251

rcice 2 : Dans cet exercice toutes les récurrences devront être faites sans considérer qu'elles sont évidentes ; Soit $\left(u_{n}\right)_{n \geq 0}$ la suite de nombres réels définie par $\left.\left.u_{0} \in\right] 1,2\right]$ et par la relation de récurrence $u_{n+1}=\frac{\left(u_{n}\right)^{2}}{4}+\frac{3}{4}$ Exercice 5: Soit $\left(u_{n}\right)_{n}$
1. Montrer que: $\forall n \in \mathbb{N}, u_{n}>1$ .
2. Montrer que: $\forall n \in \mathbb{N}, u_{n} \leq 2$ .
3. Montrer que la suite est monotone. En déduire que la suite est convergente.
4. Déterminer la limite de la suite $\left(u_{n}\right)_{n \geq 0}$ .
Exercice 3 : Soient $u_{0}, a$ et $b$ trois réels. On considère la suite $\left(u_{n}\right)_{n \geq 0}$ de nombres réels définie par $u_{0}$ et la relation de récurrence: $\begin{array}{l} u_{n+1}=a u_{n}+b \\ u_{n} \end{array}$
1. Comment appelle-t-on la suite $\left(u_{n}\right)_{n \geq 0}$ lorsque $a=1$ ? Lorsque que $b=0$ et $a \neq 1$ ?
2. Exprimer $u_{n}$ dans les deux cas particulier de la question 1 .
3. Dans le cas général, calculer $u_{1}, u_{2}$ et $u_{3}$ en fonction de $u_{0}, a$ et $b$ .
4. Démontrer par récurrence que le terme général de la suite est donné par: $u_{n}=a^{n} u_{0}+b \sum_{k=1}^{n} a^{n-k}, n \in \mathbb{N}^{*}$

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Problem 39252

Find the taxable income. Use $\$ 4000$ for each exemption. Number of exemptions Adjusted gross income Itemized deductions 3 $\$ 98872$ $\$ 8510$ A. $\$ 78,362$ B. $\$ 86,872$ C. $\$ 90,362$ D. $\$ 73,342$

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Problem 39253

Suppose that $80 \%$ of all voters prefer Candidate A. If 7 people are chosen at random for a poll, what is the probability that fewer than 5 of them favor Candidate A?
Probability = $\square$ (Please show your answer to 4 decimal places)

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Problem 39254

5. Determine exact values of $\theta$ if $0 \leq \theta \leq 2 \pi$ given that $\tan \theta=-\sqrt{3}$ [5 marks]

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Problem 39255

Задание №7 Сообщить об ошибке
7. На числовой прямой схематично отмечены три числа $\mathrm{m}, 3 \mathrm{~m}$ и -m . (1) (2) (3) (4)
На каком рисунке они изображены верно, если известно, что число $\mathrm{m}<0$

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Problem 39256

Rewrite $f(x)$ in factored form, but do not simplify: $f(x)=\frac{3 x^{3}+10 x^{2}-25 x}{3 x^{2}+17 x+20}=$

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Problem 39257

Determine the horizontal asymptote of the function. If none exists, state that fact. $f(x)=\frac{2 x^{3}-4 x+5}{6 x^{3}+9 x-5}$
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function has one horizontal asymptote, $\square$ (Type an equation.) B. The function has two horizontal asymptotes. The top asymptote is $\square$ and the bottom asymptote is $\square$ (Type equations.) C. The function has no horizontal asymptotes.

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Problem 39258

5. A 25.00 mL sample of a monoprotic weak acid, HA, is being titrated with 0.0334 M NaOH . The student runs three titrations and finds the volume of base used to be $21.71 \mathrm{~mL}, 21.99$ mL and 21.41 mL . Using the average of the titration volumes, determine the concentration of the acid solution in $\mathrm{mol} / \mathrm{L}$ .
INSTRUCTIONS: Input your answer to FOUR (4) decimal places in standard notation (example: 1.2345). DO NOT input units in the box. If you include units the response will be marked as INCORRECT. $[\mathrm{HA}]=$ $\square$ $\mathrm{mol} / \mathrm{L}$ Submit Answer Tries 0/5

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Problem 39259

Rewrite $f(x)$ in factored form, but do not simplify: $f(x)=\frac{4 x^{2}-9 x+2}{5 x^{2}+21 x+4}=$ $\square$ x -Intercepts Write intercepts as $(x, y)$ points: $\square$ y-Intercepts Write intercepts as $(x, y)$ points: $\square$ Vertical Asymptotes $x=\square$
Horizontal Asymptotes $y=\frac{4}{5} \quad$
Oblique Asymptotes $y=\text { DNE } \quad \checkmark$ $\square$ $\sigma^{\infty}$ Question Help: Video

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Problem 39260

$\frac{d y}{d x} + P y = Q$ Solve using integrating factors.

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Problem 39261

Ceometry Pyhagorean Theorem
For the following right triangle, find the side length $x$ . Round your answer to the nearest hundredth.

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Problem 39262

4. For a function $g(x)$ , we know that $g(10)=-2, g^{\prime}(10)=0$ , and $g^{\prime \prime}(10)=-1$ . Is $g(10)$ a local maximum, a local minimum, or neither?

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Problem 39263

Rewrite $f(x)$ in factored form, but do not simplify: $f(x)=\frac{x+4}{4 x^{2}-x-3}=\square$ x-Intercepts Write intercepts as $(x, y)$ points: $\square$ y-Intercepts Write intercepts as $(x, y)$ points: $\square$ Vertical Asymptotes $\square$ $x=$
Horizontal Asymptotes $\square$ Oblique Asymptotes $\square$ Question Help: Video

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Problem 39264

The graph of a polynomial function $Q(x)$ has a double root at $x=-2$ , a single root at $x=-6$ , and a double root at $x=3 x=3$ . $Q(x)$ also passes through the point $R(1,4)$ . - Determine the equation of $Q(x)$ and write your final answer in factored form. - What is the value of the $y$ -intercept for $Q(x)$ ?

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Problem 39265

We say that the design of a study is biased if which of the following is true? (2) A racial or sexual preference is suspected. (b) Random placebos have been used. (c) Certain outcomes are systematically favored. (d) The correlation is greater than 1 or less than -1 . (e) An observational study was used when an experiment would have been feasible.

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Problem 39266

5. A recent survey by a Canadian magazine on the contribution of universities to the economy was circulated to 394 people who the magazine decided "are the most likely to know how important universities are to the Canadian economy." Which of the following is the main problem with using these results to draw conclusions about the general public's perception? (a) Insufficient attention to the placebo effect. (b) $X 0$ control group. (c) Lack of random assignment. (d) Lack of random selection. (e) Response bias.

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Problem 39267

Here are some facts about units of length. \begin{tabular}{|c|c|c|} \hline Unit & Symbol & Fact \\ \hline inch & in & \\ \hline foot & ft & $1 \mathrm{ft}=12 \mathrm{in}$ \\ \hline yard & yd & $1 \mathrm{yd}=3 \mathrm{ft}$ \\ \hline \end{tabular}
Fill in the blanks. $5 \mathrm{ft}=$ $\square$ in $18 \mathrm{ft}=$ $\square$ yd

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Problem 39268

What is the equation of this graph? $x=-4$ $y=-4$

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Problem 39269

Here are some facts about units of volume. \begin{tabular}{|c|c|c|} \hline Unit & Symbol & Fact \\ \hline fluid ounce & fl oz & \\ \hline cup & c & $1 \mathrm{c}=8 \mathrm{fl} \mathrm{oz}$ \\ \hline pint & pt & $1 \mathrm{pt}=2 \mathrm{c}$ \\ \hline quart & qt & $1 \mathrm{qt}=2 \mathrm{pt}$ \\ \hline gallon & gal & $1 \mathrm{gal}=4 \mathrm{qt}$ \\ \hline \end{tabular}
Fill in the blanks. $\begin{aligned} 8 \mathrm{pt} & =\llbracket \mathrm{qt} \\ 7 \mathrm{c} & =\square \mathrm{floz} \end{aligned}$

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Problem 39270

Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any resulting triangle(s). $a=9, b=6, A=80^{\circ}$

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Problem 39271

Find the $x$ and $y$ intercepts of this linear equation. $4 x+10 y=20$ x-intercept ([?], y-intercept ( $\square$

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Problem 39272

6. Determine the values of $\theta$ if $-\pi \leq \theta \leq 4 \pi$ given that $\sin \theta=-0.05$ [ 5 marks]

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Problem 39273

23 Rajā̄-6 menunjukkan suatu gábungan pepejal bagi sebuah kon dan sebuah hemisfera. Diagram 6 shows a combined solid of a cone and a hemisphere.
Menggunakan $\pi=\frac{22}{7}$ , hitung isi padu, dalam $\mathrm{cm}^{3}$ , bagi gabungan pepejal itu. Using $\pi=\frac{22}{7}$ , calculate the volume, in $\mathrm{cm}^{3}$ , of the combined solid.
4. $150 \frac{6}{7} \quad 129$
B $122 \frac{4}{7}$ C $80 \frac{1}{7}$ . D $23 \frac{4}{7}, 3$ 24 Rajah 7 menunjukkan dua buah bulatan yang sama

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Problem 39274

Solve for $y$ . $\begin{array}{l} 3 y-6 x=24 \\ y=[?] x+\square \end{array}$

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Problem 39275

The following information contains information about a function $f(x)$ at various values of $x$ . \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline $x$ & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline $f(x)$ & 7 & 2 & 5 & 5 & -1 & 2 & 5 & 3 & 2 \\ \hline \end{tabular}
Use left endpoints and four subintervals to approximate the area beneath the curve of $f(x)$ on the interval $[2,10]$ .
Answer: $\square$ Enter your answer as an exact value (enter as a fraction if necessary).

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Problem 39276

\#2: Graph $y=2+2^{x-2}$ using $x=0,1,2,3,4$ (Count by 1 's up to 8 along the $y$ -axis) (5 Points)

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Problem 39277

$\frac{n!}{(n-1)!}$

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Problem 39278

Formula: $A(T)=\mathrm{Pe}^{\wedge}(R T)$ \#6: If \ $1500 is invested at an interest rate of$ 4.5 \%$ per year, compounded continuously, find the value of the investment afte 14 years. (4 Points)

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Problem 39279

59) $\sqrt{20}(3-\sqrt{5})$

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Problem 39280

6 ) In the opposite figure: $\triangle \mathrm{ABC}$ is a right-angled triangle at B , $\tan \theta=\frac{3}{4}$ , then $\cos \alpha=$ (a) $\frac{3}{4}$ (b) $-\frac{3}{4}$ (2) $-\frac{4}{5}$ (d) $-\frac{3}{5}$

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Problem 39281

6 ) In the opposite figure: $\triangle \mathrm{ABC}$ is a right-angled triangle at B , $\tan \theta=\frac{3}{4}$ , then $\cos \alpha=$ (a) $\frac{3}{4}$ (b) $-\frac{3}{4}$ (2) $-\frac{4}{5}$ (d) $-\frac{3}{5}$

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Problem 39282

$\tan A$ in this figure is $\qquad$ a $\frac{4}{3}$ b $\frac{3}{5}$
C $\frac{3}{4}$ d $\frac{4}{5}$

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Problem 39283

Consider the equation $f(x)=x^{2}+m x+4$ . If the equation has two unequal roots, then determine the range of values of $m$ .

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Problem 39284

2) The value of $\sqrt{\frac{(\sqrt{12}-\sqrt{8})(\sqrt{3}+\sqrt{2})}{5+\sqrt{24}}}$ is (a) $\sqrt{6}-\sqrt{2}$ (b) $\sqrt{6}+\sqrt{2}$ (c) $\sqrt{6}-2$ (d) $2-\sqrt{6}$

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Problem 39285

Palestine PolytechNic UNIVERSITY Computing Skills 2024/2025 Eng. Yousef A. Salah
Example: Write an algorithm that reads four numbers, calculates and prints the sum of EVEN entered values.

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Problem 39286

5) The value of the product $\left(7-\frac{12}{x}\right)\left(49+\frac{84}{x}+\frac{144}{x^{2}}\right)$ at $x=2$ is (a) 0 (b) 559 (c) 127 (d) 128

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Problem 39287

2. A rightward force is applied to a $10-\mathrm{kg}$ object to move it across a rough surface at constant velocity. The coefficient of friction between the object and the surface is 0.2 . Determine the gravitational force, normal force, applied force, frictional force, and net force. (Neglect air resistance.) (5 pts)

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Problem 39288

Page 134 of 149 Palestine Polytechnic University 2024/2025 ENG. YOUSEF A. SALAH
Example: Write an algorithm that reads four numbers, calculates and prints the sum of EVEN entered values.

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Problem 39289

A. 15 B. 3
8. A photographer has 7 people to photograph and wishes to photograph them 3 at a time arranged in a line. How many different arrangern

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Problem 39290

8) $(64)^{\frac{-2}{3}} \times\left(\frac{1}{4}\right)^{-3}$ equals (a) $\frac{1}{4}$ (b) 1 (c) 4 (d) 16

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Problem 39291

Balance the following chemical equation (if necessary): $\mathrm{V}_{2} \mathrm{O}_{5}(\mathrm{~s})+\mathrm{HCl}(\mathrm{aq}) \rightarrow \mathrm{VOCl}_{3}(\mathrm{~s})+\mathrm{H}_{2} \mathrm{O}(\mathrm{l})$

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Problem 39292

10) $(4)^{0.5} \times(0.5)^{4}$ is equal to (a) 1 (b) 4 (c) $\frac{1}{8}$ (d) $\frac{1}{32}$

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Problem 39293

5
Вычислите $\left(\frac{1}{2}\right)^{\log _{\frac{1}{2}} 22}$

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Problem 39294

Balance the following chemical equation (if necessary): $\mathrm{C}_{5} \mathrm{H}_{10}(\mathrm{~g})+\mathrm{O}_{2}(\mathrm{~g}) \rightarrow \mathrm{H}_{2} \mathrm{O}(\mathrm{~g})+\mathrm{CO}_{2}(\mathrm{~g})$

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Problem 39295

Выберите выражения, равные: $\log _{x^{4}} 4$
Отметьте все соответствующие ответы: $\frac{\log _{x^{4}} 2}{2}$ $2 \log _{x^{4}} 2$ $\frac{\log _{x} 2}{2}$ $4 \log _{x} 4$
$\frac{\log _{x} 4}{4}$

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Problem 39296

$\int \frac{e^{-t}}{t^{4}} d t$

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Problem 39297

Each of the following are equal to $\operatorname{Sin}(A)$ EXCEPT
A $\sin (-A)$ B $\sin (\pi-A)$ (C) $\cos \left(90^{\circ}-A\right)$
D $\frac{1}{\csc A}$
SUBMIT ANSWER

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Problem 39298

1. Let the function $f(z)=u(x, y)+i v(x, y)$ and it satisfies the Cauchy-Riemann conditions: $\begin{array}{l} \frac{\partial u(x, y)}{\partial x}=\frac{\partial v(x, y)}{\partial y} \\ \frac{\partial u(x, y)}{\partial y}=-\frac{\partial v(x, y)}{\partial x} \end{array}$ then $f(z)$ is said to be analytical and $v(x, y)$ is said to be harmonic conjugate of $u(x, y)$ . It is said to be harmonic if $\begin{array}{l} \frac{\partial^{2} u(x, y)}{\partial x^{2}}+\frac{\partial^{2} u(x, y)}{\partial y^{2}}=0 \\ \frac{\partial^{2} v(x, y)}{\partial x^{2}}+\frac{\partial^{2} v(x, y)}{\partial y^{2}}=0 \end{array}$
Show that the following $u(x, y)$ are harmonic and find its harmonic conjugate (a) $u(x, y)=2 x(1-y)$ (b) $u(x, y)=\sinh (x) \sin (y)$

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Problem 39299

2. Let $z=r e^{i \Theta}$ , then $\log (z)=\ln (r)+i(\Theta+2 n \pi)$ . The principle value of $\log (z)$ is obtained by setting n to zero and is written as $\log (z)=\ln (r)+i \Theta$ Find the following: (a) $\log (\sqrt{i})$ (b) Show that for any two nonzero complex numbers $z_{1}$ and $z_{2}$ , $\begin{array}{r} \log \left(z_{1} z_{2}\right)=\log \left(z_{1}\right)+\log \left(z_{2}\right)+2 N \pi i \\ N=-1,0,1 \end{array}$

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Problem 39300

If $\sec (x)=\csc \left(3 x+10^{\circ}\right)$ and $x$ is an acute angle, then what is the value of $x ?$
A $x=-50$ degrees B $x=10$ degrees
C $\mathrm{x}=20$ degrees D $x=25$ degrees SUBMIT ANSWER

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Math

Problem 39201

If you had excess aluminum, how many moles of aluminum chloride could be produced from 19.0 g of chlorine gas, Cl2\mathrm{Cl}_{2}Cl2​? Express your answer to three significant figures and include the appropriate units.

Problem 39202

Problem 39203

Question 12Evaluate the function. Round answers to four decimal places, if necessary. f(x)=ex, for f(2).f(2)=□\begin{array}{l} f(x)=e^{x}, \text { for } f(2) . \\ f(2)=\square \end{array}f(x)=ex, for f(2).f(2)=□​ □\square□ Question Help: −1{ }^{-1}−1 Written Example Submit Question

Problem 39204

Derivar f(x)=2x+3x−5 f(x) = \frac{2x+3}{x-5} f(x)=x−52x+3​.

Problem 39205

Problem 39206

Problem 39207

1. How much interest have you earned when you invest $500\$ 500$500 earning 5.9%5.9 \%5.9% in simple interest over 39 months? \#

Problem 39208

Problem 39209

Problem 39210

8. If a house is 40 feet long, 35 feet wide, and the top of the roof is 27 feet above ground level, what will the corresponding dimensions be of a model built so that 1 foot is represented by 12\frac{1}{2}21​ inch?

Problem 39211

Problem 39212

Problem 39213

Problem 39214

8. Barry and Kenneth order pasta for $5.05\$ 5.05$5.05, salad for $4.40\$ 4.40$4.40, and 2 glasses of lemonade for $2.35\$ 2.35$2.35 each. The tax is $1.15\$ 1.15$1.15. How much change should they get from $20.00\$ 20.00$20.00 ?

Problem 39215

Kwasi bought 15 postage stamps for $8.25\$ 8.25$8.25. All stamps cost the same amount. How much will 12 stamps cost? dollarsHow many stamps can Kwasi purchase with \$22? Submit

Problem 39216

Problem 39217

Domain fungsi g(x)=4−x2x2−x−6g(x)=\sqrt{\frac{4-x^{2}}{x^{2}-x-6}}g(x)=x2−x−64−x2​​ adalah...

Problem 39218

How much would you have in 7 years if you purchased a $1,0007\$ 1,0007$1,0007-year savings certificate that paid 2%2 \%2% compounded quarterly? (Round your answer to the nearest cent.) \ \square$ Need Help? Read It

Problem 39219

Find the cost of a home in 30 years, assuming an annual inflation rate of 4%4 \%4% (compounded annually), If the present value of the house is $210,000\$ 210,000$210,000. (Round your answer to the nearest cent.) \ \square$ Need Help? Read It Watch it

Problem 39220

∫x2cos⁡x3dx=\int x^{2} \cos x^{3} d x=∫x2cosx3dx=

Problem 39221

Problem 39222

Problem 39223

Find the area of the region bounded by the graph of f(x)=sin⁡xf(x)=\boldsymbol{\operatorname { s i n }} xf(x)=sinx and the xxx-axis on the interval [−π/3,2π/3][-\pi / 3,2 \pi / 3][−π/3,2π/3]. he area is □\square□ Type an exact answer, using radicals as needed.)

Problem 39224

Problem 39225

Find the absolute maximum and minimum of the function f(x)=sin⁡(x)−cos⁡(x) f(x) = \sin(x) - \cos(x) f(x)=sin(x)−cos(x) over the interval [0,π][0, \pi][0,π].

Problem 39226

Problem 39227

Graph the circle which is centered at (−7,−6)(-7,-6)(−7,−6) and has a radius of 2 units.

Problem 39228

Your flight has been delayed: At Denver International Airport, 82%82 \%82% of recent flights have arrived on time. A sample of 11 flights is studied.Round the probabilities to at least four decimal places.Part 1 of 4 (a) Find the probability that all 11 of the flights were on time.

Problem 39229

What is the average distance between the parabola y=10x(20−x)y=10 x(20-x)y=10x(20−x) and the xxx-axis on the interval [0,20][0,20][0,20] ?The average distance is □\square□ . (Type an integer, proper fraction, or mixed number.)

Problem 39230

Problem 39231

5. Marie-Claude has a series of four nested funnels in her kitchen that are similar to the one shown in the diagram. If the other three funnels have top diameters of 10 cm,8 cm10 \mathrm{~cm}, 8 \mathrm{~cm}10 cm,8 cm, and 6 cm , find the measures of the remaining parts for all three funnels.

Problem 39232

Using the areas in Figure (the Empirical Rule), find the areas between z=1z=\mathbf{1}z=1 and z=2z=\mathbf{2}z=2 Done

Problem 39233

Problem 39234

Problem 39235

Problem 39236

1. Jennifer says that sin⁡A=614,cos⁡A=814\sin A=\frac{6}{14}, \cos A=\frac{8}{14}sinA=146​,cosA=148​, and tan⁡A=68\tan A=\frac{6}{8}tanA=86​. Do you agree or disagree? If you agree, explain why. If you disagree, explain what she did incorrectly and provide the correct solution.

Problem 39237

Problem 39238

f(x)=−4(x+1)(x−3)(x−2)(x−6)f(x)=\frac{-4(x+1)(x-3)}{(x-2)(x-6)}f(x)=(x−2)(x−6)−4(x+1)(x−3)​Graph the following key features of f(x)f(x)f(x) : 1) yyy-intercept 2) xxx-intercept(s) 3) vertical asymptote(s)

Problem 39239

f(x)=−5x2+10x+404x2−4x−8f(x)=\frac{-5 x^{2}+10 x+40}{4 x^{2}-4 x-8}f(x)=4x2−4x−8−5x2+10x+40​Graph the following key features of f(x)f(x)f(x) : 1) yyy-intercept 2) xxx-intercept(s) 3) vertical asymptote(s)

Problem 39240

4. Determine the values of θ\thetaθ if 0≤θ≤2π0 \leq \theta \leq 2 \pi0≤θ≤2π given that cos⁡θ=−0.3178\cos \theta=-0.3178cosθ=−0.3178 [ 5 marks]

Problem 39241

Problem 39242

Problem 39243

14. m∠R=m \angle R=m∠R= \qquad RM=R M=RM= \qquad

Problem 39244

If f(x)=−5x+1f(x)=-5 x+1f(x)=−5x+1, then f−1(x)=f^{-1}(x)=f−1(x)= □\square□Submit Question

Problem 39245

Write an integral that represents the area of the shaded region of the figure. Do not evaluate the integral. r=7sin⁡(θ)r=7 \sin (\theta)r=7sin(θ) (i) A=∫0□(□)dθA=\int_{0}^{\square}(\square) d \thetaA=∫0□​(□)dθ

Problem 39246

11 a Find ∫2xdx\int \frac{2}{x} d x∫x2​dx.

Problem 39247

5. Find the solution to differential equations dydx+2yx=sin⁡(x)x2\frac{d y}{d x}+\frac{2 y}{x}=\frac{\sin (x)}{x^{2}}dxdy​+x2y​=x2sin(x)​

Problem 39248

8. Find the solution to differential equations =(x3y3+1)dx+x4y2dy=0=\left(x^{3} y^{3}+1\right) d x+x^{4} y^{2} d y=0=(x3y3+1)dx+x4y2dy=0

Problem 39249

f(x)=−2x2−10x−8x2+x−2f(x)=\frac{-2 x^{2}-10 x-8}{x^{2}+x-2}f(x)=x2+x−2−2x2−10x−8​Graph the following key features of f(x)f(x)f(x) : 1) yyy-intercept(s) 2) xxx-intercept(s) 3) vertical asymptote(s) 4) horizontal asymptote(s)

Problem 39250

If you had excess aluminum, how many moles of aluminum chloride could be produced from 19.0 g of chlorine gas, $\mathrm{Cl}_{2}$ ? Express your answer to three significant figures and include the appropriate units.

Question 12
Evaluate the function. Round answers to four decimal places, if necessary. $\begin{array}{l} f(x)=e^{x}, \text { for } f(2) . \\ f(2)=\square \end{array}$ $\square$ Question Help: ${ }^{-1}$ Written Example Submit Question

Derivar $f(x) = \frac{2x+3}{x-5}$ .

1. How much interest have you earned when you invest $\$ 500$ earning $5.9 \%$ in simple interest over 39 months? \#

8. If a house is 40 feet long, 35 feet wide, and the top of the roof is 27 feet above ground level, what will the corresponding dimensions be of a model built so that 1 foot is represented by $\frac{1}{2}$ inch?

8. Barry and Kenneth order pasta for $\$ 5.05$ , salad for $\$ 4.40$ , and 2 glasses of lemonade for $\$ 2.35$ each. The tax is $\$ 1.15$ . How much change should they get from $\$ 20.00$ ?

Kwasi bought 15 postage stamps for $\$ 8.25$ . All stamps cost the same amount. How much will 12 stamps cost? dollars
How many stamps can Kwasi purchase with \$22? Submit

Domain fungsi $g(x)=\sqrt{\frac{4-x^{2}}{x^{2}-x-6}}$ adalah...

How much would you have in 7 years if you purchased a $\$ 1,0007$ -year savings certificate that paid $2 \%$ compounded quarterly? (Round your answer to the nearest cent.) \\square$ Need Help? Read It

Find the cost of a home in 30 years, assuming an annual inflation rate of $4 \%$ (compounded annually), If the present value of the house is $\$ 210,000$ . (Round your answer to the nearest cent.) \\square$ Need Help? Read It Watch it

$\int x^{2} \cos x^{3} d x=$

Find the area of the region bounded by the graph of $f(x)=\boldsymbol{\operatorname { s i n }} x$ and the $x$ -axis on the interval $[-\pi / 3,2 \pi / 3]$ . he area is $\square$ Type an exact answer, using radicals as needed.)

Find the absolute maximum and minimum of the function $f(x) = \sin(x) - \cos(x)$ over the interval $[0, \pi]$ .

Graph the circle which is centered at $(-7,-6)$ and has a radius of 2 units.

Your flight has been delayed: At Denver International Airport, $82 \%$ of recent flights have arrived on time. A sample of 11 flights is studied.
Round the probabilities to at least four decimal places.
Part 1 of 4 (a) Find the probability that all 11 of the flights were on time.

What is the average distance between the parabola $y=10 x(20-x)$ and the $x$ -axis on the interval $[0,20]$ ?
The average distance is $\square$ . (Type an integer, proper fraction, or mixed number.)

5. Marie-Claude has a series of four nested funnels in her kitchen that are similar to the one shown in the diagram. If the other three funnels have top diameters of $10 \mathrm{~cm}, 8 \mathrm{~cm}$ , and 6 cm , find the measures of the remaining parts for all three funnels.

Using the areas in Figure (the Empirical Rule), find the areas between $z=\mathbf{1}$ and $z=\mathbf{2}$ Done

1. Jennifer says that $\sin A=\frac{6}{14}, \cos A=\frac{8}{14}$ , and $\tan A=\frac{6}{8}$ . Do you agree or disagree? If you agree, explain why. If you disagree, explain what she did incorrectly and provide the correct solution.

$f(x)=\frac{-4(x+1)(x-3)}{(x-2)(x-6)}$
Graph the following key features of $f(x)$ : 1) $y$ -intercept 2) $x$ -intercept(s) 3) vertical asymptote(s)

$f(x)=\frac{-5 x^{2}+10 x+40}{4 x^{2}-4 x-8}$
Graph the following key features of $f(x)$ : 1) $y$ -intercept 2) $x$ -intercept(s) 3) vertical asymptote(s)

4. Determine the values of $\theta$ if $0 \leq \theta \leq 2 \pi$ given that $\cos \theta=-0.3178$ [ 5 marks]

14. $m \angle R=$ $\qquad$ $R M=$ $\qquad$

If $f(x)=-5 x+1$ , then $f^{-1}(x)=$ $\square$
Submit Question

Write an integral that represents the area of the shaded region of the figure. Do not evaluate the integral. $r=7 \sin (\theta)$ (i) $A=\int_{0}^{\square}(\square) d \theta$

11 a Find $\int \frac{2}{x} d x$ .

5. Find the solution to differential equations $\frac{d y}{d x}+\frac{2 y}{x}=\frac{\sin (x)}{x^{2}}$

8. Find the solution to differential equations $=\left(x^{3} y^{3}+1\right) d x+x^{4} y^{2} d y=0$

$f(x)=\frac{-2 x^{2}-10 x-8}{x^{2}+x-2}$
Graph the following key features of $f(x)$ : 1) $y$ -intercept(s) 2) $x$ -intercept(s) 3) vertical asymptote(s) 4) horizontal asymptote(s)

$f(x)=\frac{18 x+72}{x^{2}-A^{2 x-24}}$
Graph the following key features of $f(x)$ : 1) $y$ -intercept(s) 2) $x$ -intercept(s) 3) vertical asymptote(s) 4) horizontal asymptote(s)

Find the taxable income. Use $\$ 4000$ for each exemption. Number of exemptions Adjusted gross income Itemized deductions 3 $\$ 98872$ $\$ 8510$ A. $\$ 78,362$ B. $\$ 86,872$ C. $\$ 90,362$ D. $\$ 73,342$

Suppose that $80 \%$ of all voters prefer Candidate A. If 7 people are chosen at random for a poll, what is the probability that fewer than 5 of them favor Candidate A?
Probability = $\square$ (Please show your answer to 4 decimal places)

5. Determine exact values of $\theta$ if $0 \leq \theta \leq 2 \pi$ given that $\tan \theta=-\sqrt{3}$ [5 marks]

Rewrite $f(x)$ in factored form, but do not simplify: $f(x)=\frac{3 x^{3}+10 x^{2}-25 x}{3 x^{2}+17 x+20}=$

$\frac{d y}{d x} + P y = Q$ Solve using integrating factors.

Ceometry Pyhagorean Theorem
For the following right triangle, find the side length $x$ . Round your answer to the nearest hundredth.

4. For a function $g(x)$ , we know that $g(10)=-2, g^{\prime}(10)=0$ , and $g^{\prime \prime}(10)=-1$ . Is $g(10)$ a local maximum, a local minimum, or neither?

What is the equation of this graph? $x=-4$ $y=-4$

Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any resulting triangle(s). $a=9, b=6, A=80^{\circ}$

Find the $x$ and $y$ intercepts of this linear equation. $4 x+10 y=20$ x-intercept ([?], y-intercept ( $\square$

6. Determine the values of $\theta$ if $-\pi \leq \theta \leq 4 \pi$ given that $\sin \theta=-0.05$ [ 5 marks]

Solve for $y$ . $\begin{array}{l} 3 y-6 x=24 \\ y=[?] x+\square \end{array}$