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Find a value using two-variable equations

A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let r r be the radius of the top of the can and let h h be the height. The surface area of the cylinder, A A , is A=2πr2+2πrh A=2 \pi r^{2}+2 \pi r h (it's two circles for the top and bottom plus a rolled up rectangle for the side).\newlinePart a: Assume that the height of your cylinder is 88 inches. Consider A A as a function of r r , so we can write that as A(r)=2πr2+16πr A(r)=2 \pi r^{2}+16 \pi r . What is the domain of A(r) A(r) ? In other words, for which values of r r is A(r) A(r) defined?\newlinePart b: Continue to assume that the height of your cylinder is 88 inches. Write the radius r r as a function of A A . This is the inverse function to A(r) A(r) , i.e to turn A A as a function of r r into. r r as a function of A A .
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The following graph, made by the manager of the basketball team, compares the free throw percentages for various players. A bar graph entitled Free Throw Percentages shows players on the xx-axis and no label or numbers on the yy-axis, but there are 66 horizontal lines. Player A is a blue bar that reaches just past the fourth line. Player B is a blue bar that reaches just past the fourth line. Player C is a blue bar that reaches halfway past the fourth line. Player D is a blue bar that reaches halfway past the fourth line. Player E is a blue bar that reaches just below the fifth line. Player F is a blue bar that almost touches the fifth line. Player G is a blue bar that reaches just past the fifth line. Player H is a red bar that reaches a quarter of the distance to the sixth line. \newlineWhich statement best describes why this graph could be misleading?\newlineWe don't know if all of the people on the team are included in the graph.\newlineThe graph does not indicate if the free throws were made at home or away.\newlineThe color of the bar for Player H is different from the color of the other bars in the graph.\newlineThe graph is missing the scale on the yy-axis, making it unclear as to how much higher the free throw percentage is for one player than for another.
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The following graph, made by the manager of the basketball team, compares the free throw percentages for various players. A bar graph entitled Free Throw Percentages shows players on the xx-axis and no label or numbers on the yy-axis, but there are 66 horizontal lines. Player A is a blue bar that reaches just past the fourth line. Player B is a blue bar that reaches just past the fourth line. Player C is a blue bar that reaches halfway past the fourth line. Player D is a blue bar that reaches halfway past the fourth line. Player E is a blue bar that reaches just below the fifth line. Player F is a blue bar that almost touches the fifth line. Player G is a blue bar that reaches just past the fifth line. Player H is a red bar that reaches a quarter of the distance to the sixth line. \newlineWhich statement best describes why this graph could be misleading?\newlineWe don't know if all of the people on the team are included in the graph.\newlineThe graph does not indicate if the free throws were made at home or away.\newlineThe color of the bar for Player H is different from the color of the other bars in the graph.\newlineThe graph is missing the scale on the yy-axis, making it unclear as to how much higher the free throw percentage is for one player than for another.
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Classifying Organisms\newlineKey Concept What methods are used to classify living things into groups?\newlineDirections: Use the terms from the word bank to answer each question on the lines provided. Some terms may be used more than once.\newlineAnimalia\newlineArchaea\newlineBacteria\newlineEukarya\newlineFungi\newlinePlantae\newlineProtista\newline11. Which terms are the names of domains? \qquad \newline \qquad \newline22. Which terms are the names of kingdoms?\newline \qquad \newline \qquad \newline33. Which four terms represent organisms in the same domain?\newline \qquad \newline \qquad \newlineDirections: Put a check mark on the line before each item in this list that is used to classify organisms.\newline \qquad 44. cell types\newline \qquad 55. number of organisms\newline \qquad 66. habitats\newline \qquad 77. how they obtain food and energy\newline \qquad 88. amount of blood\newline \qquad 99. common ancestry\newline \qquad 1010. molecular analysis\newline \qquad 1111. age of organisms
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AP Calculus AB\newlineAP Exam Review Free Response 55\newlineThis Question is **CALCULATOR INACTIVE**\newlinePlease show all work on page 2&3 2 \& 3 \newlineMzab Gundis live in the central Sahara Desert in Algeria, northern Niger, northwestern Chad, northeastern Mali, and southwestern Libya. The rate at which a Mzab gundi gains weight is proportional to the difference between its adult weight and its current weight. At time t=0 t=0 , when the Gundi is first weighed, its weight is 2020 grams. If G(t) G(t) is the weight of the Gundi, in grams, at time t t days after it is first weighed, then dGdt=150(180−G) \frac{d G}{d t}=\frac{1}{50}(180-G) . Let y=G(t) y=G(t) be the solution to the differential equation above with initial condition G(0)=20 G(0)=20 .\newline(a) Is the Gundi gaining weight faster when it weighs 6060 grams or when it weighs 100100 grams? Explain your reasoning.\newline(b) Find d2Gdt2 \frac{d^{2} G}{d t^{2}} in terms of G G . Use d2Gdt2 \frac{d^{2} G}{d t^{2}} to explain why the graph of G G cannot resemble the following graph.\newline(c) Use separation of variables to find y=G(t) y=G(t) , the particular solution to the differential equation with initial condition G(0)=20 G(0)=20 .
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Use the equation h=y+1h = y + 1 to find the value of hh when y=1y = 1.\newlineh=h = ____
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This equation shows how the total number of necklaces Krysta owns is related to the amount of money she spends on additional necklaces.\newlinen=2dn = 2d\newlineThe variable dd represents the amount of money she spends on additional necklaces, and the variable nn represents the total number of necklaces she owns. With $1\$1 to spend on new necklaces, how many total necklaces can Krysta own?\newline_____ necklaces
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Name\newlineAlyya 1490014900\newlinePeriod\newline44\newlineDave and Buster's\newlineDue: Friday, May 33, 20242024\newlineDave and Buster's is running a promotion that they will give everyone in a school a free hour of play time. The school that has the most people sign up for alerts on the Dave and Buster's app will win the free time.\newlineSaylesville has 364364 students and \newline12\frac{1}{2} of the school signed up. Central has 385385 students and \newline45%45\% of the school signed up. Northern has 510510 students and \newline30%30\% of the school signed up. Lonsdale has 4400 students and \newline4411 of the school signed up.\newlineWhich school won the free hour of play time? Show all of your work to prove your answer. Round your answers to the nearest whole number, if needed.
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Narne\newlineAliya 1490014900\newlinePeriod\newline44\newlineDave and Buster's\newlineDue: Friday, May 33, 20242024\newlineDave and Buster's is running a promotion that they will give everyone in a school a free hour of play time. The school that has the most people sign up for alerts on the Dave and Buster's app will win the free time.\newlineSaylesville has 364364 students and 1/2 1 / 2 of the school signed up. Central has 385385 students and 45% 45 \% of the school signed up. Northern has 510510 students and 30% 30 \% of the school signed up. Lonsdale has 246246 students and 2/3 2 / 3 of the school signed up.\newlineWhich school won the free hour of play time? Show all of your work to prove your answer. Round your answers to the nearest whole number, if needed.
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ancequation of a curve is y=x2−6x+k y=x^{2}-6 x+k , where k k is a constant.\newline(i) Find the set of values of k k for which the whole of the curve lies above the x x -axis.\newline(ii) Find the value of k k for which the line y+2x=7 y+2 x=7 is a tangent to the curve.\newlinea company producing salt from sea water changed to a new process. The amount of sal 2% 2 \% of the amount\newlinewh whe fler the change the company obtained obtained in the preceding week. It is given that\newlinereak after the change the company obtained 8000 kg 8000 \mathrm{~kg} of salt.\newline(i) Find the amount of salt obtained in the 1212 th week after the change.\newline(ii) Find the total amount of salt obtained in the first 1212 weeks after the change.
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Education\newline11st Corinthians annotated b b \newlineA\newlineALEKS - Jameson Colley - Le X X \newlineBest Al Homework Helper\newlineByteLearn\newlinehttps://Www-awu.aleks.com/alekscgi/×/Isl.exe/1010_u-IgNsIkasNW88D88A99PVRDtYDggnR99...\newlineImport favorites\newlineMVNU Students Ho...\newlineA\newlineALEKS - Jameson C...\newlineTrigonometric Identities and Equations\newlineSolving a trigonometric equation modeling a real-world situation\newlineJameson\newlineEspañol\newlineSuppose a projectile is fired from a cannon with velocity v0 v_{0} and angle of elevation θ \theta . The horizontal distance R(θ) R(\theta) it travels (in feet) is given by the following.\newlineR(θ)=(v0)2sin⁡2θ32 R(\theta)=\frac{\left(v_{0}\right)^{2} \sin 2 \theta}{32} \newlineIf v0=160ft/s v_{0}=160 \mathrm{ft} / \mathrm{s} , what angle θ \theta (in radians) should be used to hit a target on the ground 492492 feet in front of the cannon?\newlineDo not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian. (If there is more than one answer, enter additional answers with the
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Lesson 1212−3-3 - Reinforce Understanding niknirtT bnohka - E-St nozzot Solve Multi-Step Problems Involving? Measurement Units\newlineName\newlineReview\newlineYou can convert units at the beginning or the end of a problem.\newlineThe longest NFL field goal kick on record is 6464 yards. Mitch is 34 \frac{3}{4} of the way to reaching the record. How far can Mitch kick, in feet?\newline\begin{tabular}{|l|l|l|}\newline\hline \begin{tabular}{l} \newlineConversion as \\\newline1st  1^{\text {st }} Step\newline\end{tabular} & 64×3=192 64 \times 3=192 feet & 192×34=144ft 192 \times \frac{3}{4}=144 \mathrm{ft} \\\newline\hline \begin{tabular}{l} \newlineConversion as \\\newline2nd  2^{\text {nd }} Step\newline\end{tabular} & 64×34=48 64 \times \frac{3}{4}=48 yards & 48×3=144ft 48 \times 3=144 \mathrm{ft} \\\newline\hline\newline\end{tabular}\newlineFill in each blank to solve the problem.\newline11. Griffin has completed 34 \frac{3}{4} of a 55 -kilometer run. How many meters has he run?\newlineGriffin has run 334 3 \frac{3}{4} kilometers, which is. 755755 meters.\newline22. A skein of yarn is 220220 yards. Sharon's ball of yarn is 49 \frac{4}{9} of a skein. How many feet of yarn does Sharon have?\newlineSharon has 1st  1^{\text {st }} 00\newline1st  1^{\text {st }} 00 Yards of yarn, which is 1st  1^{\text {st }} 00 feet.\newline7373\newline33. The average person spends 7878,000000 hours watching television over their lifetime. 1st  1^{\text {st }} 33 of that time is spent watching commercials. How many days are spent watching commercials?\newlineThe average person watches 1st  1^{\text {st }} 00 hours of television in their lifetime, which is 1st  1^{\text {st }} 00 days.\newline44. Sophie has 55 kilograms of potatoes. She peels 900900 grams of potatoes for a dinner party. How many kilograms of potatoes.does she have left?\newlineSophie has peeled 1st  1^{\text {st }} 00 kilgrams of potatoes. Sophie has 1st  1^{\text {st }} 00 kilograms of potatoes left to peel.\newlineDifferentiation Resource Book\newline143143
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