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Add. Write your answer in simplest form. \newline3+63\sqrt{3} + 6\sqrt{3}

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A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m 10 \mathrm{~m} . With each swing, she passes through an arc 910 \frac{9}{10} the length of the previous swing.\newlineWhat is the total distance the monkey has traveled when she completes her 25th  25^{\text {th }} swing? Round your final answer to the nearest meter.\newlinem
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SE=σn S E=\frac{\sigma}{\sqrt{n}} \newlineThe given equation relates the standard error, SE S E , of a sample mean to the population standard deviation, σ \sigma , and the size of the sample, n n . Which of the following equations correctly gives the size of the sample in terms of the standard error and the population standard deviation?\newlineChoose 11 answer:\newline(A) n=(σSE)2 n=\left(\frac{\sigma}{S E}\right)^{2} \newline(B) n=σ2SE n=\frac{\sigma^{2}}{S E} \newline(C) n=(σSE) n=\sqrt{\left(\frac{\sigma}{S E}\right)} \newline(D) n=σSE n=\frac{\sqrt{\sigma}}{S E}
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Avery is designing a large rectangular sign. They want the sign to have an area of 2 m2 2 \mathrm{~m}^{2} and a width of 45 m \frac{4}{5} \mathrm{~m} .\newlineHow tall should the sign be?\newlinem
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The bacteria in a Petri dish culture are self-duplicating at a rapid pace.\newlineThe relationship between the elapsed time t t , in minutes, and the number of bacteria, B(t) B(t) , in the Petri dish is modeled by the following function.\newlineB(t)=10⋅2t12 B(t)=10 \cdot 2^{\frac{t}{12}} \newlineHow many bacteria will make up the culture after 120120 minutes?\newlineRound your answer, if necessary, to the nearest hundredth.\newlinebacteria
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A large brine tank containing a solution of salt and water is being diluted with fresh water.\newlineThe relationship between the elapsed time, t t , in hours, after the dilution begins, and the concentration of salt in the tank, S(t) S(t) , in grams per liter (g/l) (\mathrm{g} / \mathrm{l}) , is modeled by the following function.\newlineS(t)=500⋅e−0.25t S(t)=500 \cdot e^{-0.25 t} \newlineWhat will the concentration of salt be after 1010 hours?\newlineRound your answer, if necessary, to the nearest hundredth.\newlineg/11
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After the closing of the mill, the town of Sawyerville experienced a decline in its population.\newlineThe relationship between the elapsed time, t t , in years, since the closing of the mill, and the town's population, P(t) P(t) , is modeled by the following function.\newlineP(t)=12,000⋅2−t15 P(t)=12,000 \cdot 2^{-\frac{t}{15}} \newlineIn how many years will Sawyerville's population be 90009000 ? Round your answer, if necessary, to the nearest hundredth.\newlineyears
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Carlos has taken an initial dose of a prescription medication.\newlineThe relationship between the elapsed time t t , in hours, since he took the first dose, and the amount of medication, M(t) M(t) , in milligrams ( mg \mathrm{mg} ), in his bloodstream is modeled by the following function.\newlineM(t)=20⋅e−0.8t M(t)=20 \cdot e^{-0.8 t} \newlineIn how many hours will Carlos have 1mg 1 \mathrm{mg} of medication remaining in his bloodstream?\newlineRound your answer, if necessary, to the nearest hundredth.\newlinehours
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To take a taxi, it costs $3.00 \$ 3.00 plus an additional $2.00 \$ 2.00 per mile traveled. You spent exactly $20 \$ 20 on a taxi, which includes the $1 \$ 1 tip you left.\newlineHow many miles did you travel?\newlinemiles
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Order the following numbers from least to greatest.\newline 1.3541825 \begin{array}{l|l|l} 1.3 & \frac{5}{4} & 1 \frac{8}{25} \end{array}
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