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Solve quadratic equations: word problems

11. A ball is thrown up from the ground at 32ftsec 32 \frac{\mathrm{ft}}{\mathrm{sec}} its motion represented by f(t)=−16t2+32t f(t)=-16 t^{2}+32 t . Determine when and where the highest point of the ball.\newlineA. The ball will reach its highest point of 1818 feet at 11 second.\newlineB. The ball will reach its highest point of 3232 feet at 11 second.\newlineC. The ball will reach its highest point of 1616 feet at 11 second.\newlineD. The ball will reach its highest point of 2020 feet at 11 second.\newline22. Differentiate the following function: g(x)=7x4−3x2 g(x)=7 x^{4}-3 x^{2} \newlineA. f′(x)28x3−6x f^{\prime}(x) \quad 28 x^{3}-6 x \newlineB. g′(x)28x3−6x g^{\prime}(x) \quad 28 x^{3}-6 x \newlineC. g′(x)−28x3−6x g^{\prime}(x) \quad-28 x^{3}-6 x \newlineD. f′(x)28x3+6x f^{\prime}(x) \quad 28 x^{3}+6 x \newline33. A particle is moving along a straight line and its position at any time t≥0 t \geq 0 (in seconds) is given by s(t)=t3− \boldsymbol{s}(\boldsymbol{t})=\boldsymbol{t}^{3}- 6t2+9t \mathbf{6} \boldsymbol{t}^{2}+9 \boldsymbol{t} ( f(t)=−16t2+32t f(t)=-16 t^{2}+32 t 00 in meters). What is the velocity of the particle at the instant when f(t)=−16t2+32t f(t)=-16 t^{2}+32 t 11 ?\newlineA. f(t)=−16t2+32t f(t)=-16 t^{2}+32 t 22\newlineB. f(t)=−16t2+32t f(t)=-16 t^{2}+32 t 33\newlineC. f(t)=−16t2+32t f(t)=-16 t^{2}+32 t 44\newlineD. f(t)=−16t2+32t f(t)=-16 t^{2}+32 t 55
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22.2121. Pешите задачи:\newlineРадиосистема, состоящая из 10001000 элементов, с интенсивностью отказов \newlineλi=10−6\lambda_{i}=10^{-6} отк./ч, прошла испытание и принята заказчиком. Определите вероятность безотказной работы радиосистемы за время \newlinet=1000t=1000ч.\newlineХолодильник имеет постоянную интенсивность отказа, равную \newlineλ=10−5\lambda=10^{-5} отк./ч. Какова вероятность того, что он откажет после гарантийного срока 2000020000 ч?\newlineСрок службы жесткого диска компьютера - случайная величина, распределенная по показательному закону со средним значением 1212 тыс. ч. Определите вероятность безотказной службы жесткого диска свыше 1818 тыс.ч.\newlineСрок службы батареек микрокалькулятора подчиняется показательному закону распределения с \newlineλ=112\lambda=\frac{1}{12}. Какова доля батареек со сроком службы более 1515 дней?\newlineМенеджер по рекламе считает, что время, в течение которого телезрители удерживают в памяти телерекламу, есть случайная величина, распределенная по показательному закону с \newlineλ=16\lambda=\frac{1}{6}. Вычислите долю телезрителей, слособных вспомнить телерекламу через две недели.
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22.2121. Решите задачи:\newline11) Радиосистема, состояшая из 10001000 элементов, с интенсивностью отказов λi=10−6 \lambda_{i}=10^{-6} отк./ч, прошла испытание и принята заказчиком. Определите вероятность безотказной работы радиосистемы за время t=1000ч t=1000 ч .\newline22) Холодильник имеет постоянную интенсивность отказа, равную λ=10−5 \lambda=10^{-5} отк./ч. Какова вероятность того, что он откажет после гарантийного срока 2000020000 ч?\newline33) Срок службы жесткого диска компьктера - случайная величина, распределенная по показательному закону со средним значением 1212 тыс. ч. Определите вероятность безотказной службы жесткого диска свыше 1818 тыс.ч.\newline44) Срок службы батареек микрокалькулятора подчиняется показательному закону распределения с λ=112 \lambda=\frac{1}{12} . Какова доля батареек со сроком службы более 1515 дней?\newline55) Менеджер по рекламе считает, что время, в течение которого телезрители удерживают в памяти телерекламу, есть случайная величина, распределенная по показательному закону с λ=16 \lambda=\frac{1}{6} . Вычислите долю телезрителей, способных вспомнить телерекламу через две недели.
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The rectangular tank shown here, with its top at ground level, is used to catch runoff water. Assume that the water weighs 62.5lb/ft3 62.5 \mathrm{lb} / \mathrm{ft}^{3} .\newlinea. How much work does it take to empty the tank by pumping the water back to ground level once the tank is full?\newlineb. If the water is pumped to ground level with a (1010/1111)-horsepower (hp) motor (work output 500ft−lb/sec) 500 \mathrm{ft}-\mathrm{lb} / \mathrm{sec}) , how long will it take to empty the tank (to the nearest minute)?\newlinec. Show that the pump in part (b) will lower the water level 10ft 10 \mathrm{ft} (halfway) during the first 1818 minutes of pumping.\newlined. What are the answers to parts (a) and (b) in a location where water weighs 62.31lb/ft3?62.61lb/ft3? 62.31 \mathrm{lb} / \mathrm{ft}^{3} ? 62.61 \mathrm{lb} / \mathrm{ft}^{3} ? \newlinea. Set up an integral to find the work done.\newlineW= \mathrm{W}= \newline□ \square \newlineHow much work does it take to empty the tank?\newline□ \square \newline□ \square \newlineb. How long will it take to empty the tank?\newline□ \square minutes (Round to the nearest minute as needed.)\newlinec. How much work does it take to lower the water level halfway?\newline□ \square \newline□ \square
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The rectangular tank shown here, with its top at ground level, is used to catch runoff water. Assume that the water weighs 62.5lb/ft3 62.5 \mathrm{lb} / \mathrm{ft}^{3} .\newlinea. How much work does it take to empty the tank by pumping the water back to ground level once the tank is full?\newlineb. If the water is pumped to ground level with a (1010/1111)-horsepower (hp) motor (work output 500ft−lb/sec 500 \mathrm{ft}-\mathrm{lb} / \mathrm{sec} ), how long will it take to empty the tank (to the nearest minute)?\newlinec. Show that the pump in part (b) will lower the water level 10ft 10 \mathrm{ft} (halfway) during the first 1818 minutes of pumping.\newlined. What are the answers to parts (a) and (b) in a location where water weighs\newline62.31lb/ft3?62.61lb/ft3? 62.31 \mathrm{lb} / \mathrm{ft}^{3} ? 62.61 \mathrm{lb} / \mathrm{ft}^{3} ? \newlinea. Set up an integral to find the work done.\newlineW= \mathrm{W}= □ \square \newlineHow much work does it take to empty the tank?\newline□ \square \newlineb. How long will it take to empty the tank?\newline□ \square minutes (Round to the nearest minute as needed.)\newlinec. How much work does it take to lower the water level halfway?\newline□ \square
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Home - Newton Municipal Sch\newline(11) Love Thy Neighbor 202202\newlineUntitled document - Google Do\newlineMAAP Practice Test\newlineByteLeam\newlineclassroom.google.com/c/NjE22NTg11ODA00NzA11/a/Njc33MjgxMzk33MDgy/details\newlineCHRINESIA THOMPSON - Copy of MS22032203_ALG_PT_v0101−01-01.pdf\newlineOpen with\newline3636. Which statements are true about the line shown on the graph?\newlineHome\newlineCalenda\newlineEnrolled\newlineTo-do\newlineB BIOLOGY 22 ND BLOCK\newlineSEMESTER 22\newline11st Block World History\newline2323−24-24 Spring\newline44A Algebra\newline44B 4 \quad 4 B \newlineD Dynamic Voices of NHS 2323−24-24\newline↓ \downarrow \newlineArchived classes\newlineSettings\newlineYour work\newlineAssigned\newlineCHRINESTA THOM\newlinePDF\newline+ Add or create\newlineTurn in\newlineSelect two answer choices.\newline(a) The point (−4,0) (-4,0) is on the line.\newline(55) The point (0,−4) (0,-4) is on the line.\newline(c) The point (36,28) (36,28) is on the line.\newline() The graph represents the equation 2x−3y=−12 2 x-3 y=-12 .\newline() The graph represents the equation 2x+3y=−12 2 x+3 y=-12 .\newlinePage\newline2626\newline4848\newlineW
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Each side of the hexagon is the same length. Which statement best explains how Jamie can find the area of the hexagon?\newlineA. Add the areas of six congruent triangles, each with a base of 4.624.62 inches and a height of 44 inches.\newlineB. Add the areas of six congruent triangles, each with a base of 4.624.62 inches and a height of 88 inches.\newlineC. Add the areas of two congruent rectangles, each with a length of 4.624.62 inches and a height of 44 inches.\newlineD. Add the areas of two congruent rectangles, each with a length of 4.624.62 inches and a height of 88 inches.
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Tasa por unidad de LaShonda Semanas La tasa por unidad de Marilyn est\'a representada por el punto (1,20)(1,20). Ahorra $20\$20 por semana. LaShonda ahorra m\'as dinero por semana. Dos tiendas de comestibles cobran diferentes cantidades por las aceitunas favoritas de Henry. \text{\¿En qu\'e tienda pagar\'a Henry un precio menor por libra por las aceitunas?} Mangio Libras 33 44 55 66 Costo $\$ 1818 2424 $20\$2000 $20\$2011 $20\$2022 $20\$2033 $20\$2044 $20\$2055 Noah corri\'o un total de $20\$2066 millas en $20\$2077 d\'ias. La gr\'afica que relaciona la distancia total de Greta con la cantidad de d\'ias pasa por los puntos $20\$2088 y $20\$2099. \text{\¿En qu\'e tienda pagar\'a Henry un precio menor por libra por las aceitunas?}00 R \text{\¿En qu\'e tienda pagar\'a Henry un precio menor por libra por las aceitunas?}11 Copyright O SAWAS Learning Company LLC. All Rights F
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Direct Messages - SEQTA Le:\newlineAssessment Master - Exam Wi\newlineassess.scsa.wa.edu.au/engine/index.php/lms/index\newlineNumeracy\newline(ㄷ) 00:3535:5050 / 00:5050:0000\newline3175162431751624\newline3636 of 4545\newlineThe graph below shows Clara's weekly budget.\newlineWeekly budget\newlineQuestion 3636\newlineQuestion 3737\newlineQuestion 3838\newlineQuestion 3939\newlineQuestion 4040\newlineQuestion 4141\newlineQuestion 4242\newlineQuestion 4848\newlineQuestion 4444\newlineQuestion 4545\newlineClara budgets \newline$300\$300 for rent.\newlineHow much does she budget for food?\newline$170\$170\newline$180\$180\newline$220\$220\newline$240\$240\newlineContent copyright WA School Curriculum and Standards Authority 20242024\newlineAssessment\newlineCopyright \newlineo+ SoNET Systems Pty Ltd. 20242024\newline(.)\newlineMaster
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Direct Messages - SEQTA Lea\newlineAssessment Master - Exam Wi\newlineassess.scsa.wa.edu.au/engine/index.php/lms/index\newlineNumeracy\newline(ㄷ) 00:3535:5050 / 00:5050:0000\newline3175162431751624\newline3636 of 4545\newlineThe graph below shows Clara's weekly budget.\newlineWeekly budget\newlineQuestion 3636\newlineQuestion 3737\newlineQuestion 3838\newlineQuestion 3939\newlineQuestion 4040\newlineQuestion 4444\newlineQuestion 4242\newlineQuestion 4848\newlineQuestion 4444\newlineQuestion 4545\newlineClara budgets $300 \$ 300 for rent.\newlineHow much does she budget for food?\newlineNext\newline$170 \$ 170 \newline$180 \$ 180 \newline$220 \$ 220 \newline$240 \$ 240 \newlineContent copyright WA School Curriculum and Standards Authority 20242024\newlinea a \newlineAssessment\newlineCopyright ⊕ \oplus SoNET Systems Pty Ltd. 20242024\newline(11) Master
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Direct Messages - SEQTA Lea\newlineAssessment Master - Exam Wi\newlineByteLearn\newlineassess.scsa.wa.edu.au/engine/index.php/Ims/index\newlineSchool Curriculum\newlineand Standards\newlineAuthority\newlineNumeracy\newline(ㄷ) 00:0606:0808 / 00:5050:0000\newline3175162431751624\newlineA private jet left Sydney at 0909:0000 and arrived in Perth at 1313:0000 local time. Sydney time is 22 hours ahead of Perth time.\newline4444 of 4545\newlineIf the distance flown was 30243024 kilometres, what was the jet's average flying speed?\newlineQuestion 3737\newlineQuestion 3838\newlineQuestion 3939\newlineQuestion 4040\newline504 km/h 504 \mathrm{~km} / \mathrm{h} \newline540 km/h 540 \mathrm{~km} / \mathrm{h} \newline706 km/h 706 \mathrm{~km} / \mathrm{h} \newline756 km/h 756 \mathrm{~km} / \mathrm{h} \newlineQuestion 4141\newlineQuestion 4242\newlineQuestion 4343\newlineQuestion 4444\newlineQuestion 4545\newlineConfirmation\newlineNext\newlineContent copyright WA School Curriculum and Standards Authority 20242024\newlinea a \newlineAssessment\newlineCopyright ⊕ \oplus SoNET Systems Pty Ltd. 20242024\newline(1010.\newlineMaster
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Brandon is creating a layout for his new arcade game. Each part of the model is made of quadrilaterals. The front legs, LIJK&EMONLIJK \& EMON, and the back legs, FVUT&SPQRFVUT \& SPQR, are all congruent rectangles. GBMIGBMI and ADIFADIF are rectangles. a. Complete the table. If necessary, round to the nearest thousandth.\newline\newlineSection\newlinePerimeter\newlineArea\newline\newlineFront legs \newlineLIJ,EMONLIJ,EMON\newline\newlineBack legs FVUT,SPQRFVUT,SPQR\newline\newlineRectangle \newlineGBMIGBMI\newline\newlineRectangle \newlineADIFADIF\newline\newline\newlineb. What is the perimeter of the composite figure made by all of the sections? If necessary, round to the nearest thousandth.\newlinec. What is the area of the composite figure made by all of the sections? If necessary, round to the nearest thousandth.\newlined. If each square unit weights 2020 lbs. How much will the arcade game weigh?
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School Bookmarks\newlineSorwas Easyeridge\newlineSavas Realize\newlineMembean / Schooloyy\newlineDuhboard\newlineMatheMaTics 66\newlineAll Bootmar\newline55−8-8: MathXL for School: Practice \& Problem Solving\newlineout\newlineApr 3030 - 1111:5959 pm\newline55.88.P1818−19-19\newlineQuastion Help\newlineUse the recipe card for 77−8-8.\newline77. Ernesto has 9797 cups of water. Is this enough water to make 99 batches of green slime for a class project? Explain.\newline88. There are 1616 tablespoons in 11 cup. How many tablespoons of cornstarch would Ernesto need to make 2525 batches of green slime?\newlineClick here to view the customary units. Click here to view the recipe card.\newline \qquad \newlineB. Yes. Ernesto needs □ \square pints of water, which equals □ \square cups.\newline88. Ernesto would need Π \Pi tablespoons. □ \square \newline□ \square \newline□ \square a∗ \mathbf{a}^{*} □ \square \newline1 \sqrt{1} \newline□ \square 00\newlinen.\newline(a)\newlineMore\newlineEnter your answer in the answer box and then click Check Answer.\newlineAll parts showing\newlineClear AII\newlineCrinck Ansuntr\newlineReviow Progress\newlineQuestion 88 of 1212\newlineBock\newlineNoxt
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Example 99.1717: A piece of iron of mass 2.0 kg 2.0 \mathrm{~kg} has a thermal capacity of 966 J∘C−1 966 \mathrm{~J}^{\circ} \mathrm{C}^{-1} .\newline(a) How much heat is needed to warm it by 15∘C 15^{\circ} \mathrm{C} ?\newline(b) What is its specific heat capacity in SI units?
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AIR 5454 Ratios and Proportions :\newlineDashboard\newlineNew Tab\newlinep.formative.com/formatives/6604453966044539aa5454a00c740740fc89818981\newlineREQUIRED\newline11\newline11. A butcher displays the cost, in dollars, of different amounts of meat in the table shown. If the butcher sells 1212 sandwiches, what is the cost of the sandwiches?\newline\begin{tabular}{|c|c|}\newline\hline Number of Sandwiches & Cost (\$) \\\(\newline\)\hline \(3\) & \(21\) \\\(\newline\)\hline \(5\) & \(35\) \\\(\newline\)\hline \(8\) & \(56\) \\\(\newline\)\hline\(\newline\)\end{tabular}\(\newline\)\( \$ \) \( \square \)\(\newline\)* required\(\newline\)\(1\)\(\newline\)\(2\). Hannah planted flowers next to the school playground. She planted \(2\) daises, \(3\) sunflowers,
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