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The concentration of a drug in an organ at any time t (in seconds) is given by $$C(t) = \begin{cases} 0.45t - 27(1 - e^{-t/60}) & \text{if } 0 \le t \le 20 \\ 27e^{-t/60} - 18e^{-(t-20)/60} & \text{if } t > 20 \end{cases}$$ where C(t) is measured in milligrams per cubic centimeter (mg/cm³). (a) What is the initial concentration of the drug in the organ? 46.38 x mg/cm³ (b) What is the concentration of the drug in the organ after 8 sec? (Round your answer to three decimal places.) 3 x mg/cm³ (c) What is the concentration of the drug in the organ after 27 sec? (Round your answer to three decimal places.) 4 x mg/cm³

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The brain and bloodstream are separated by a special structure called the blood-brain barrier. It is essential for defending the brain against toxins and preserving healthy brain function.

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In a cell with 5 chromosomes how many daughter cells will be present after 5 rounds of mitosis? How many chromosomes will be in each individual cell?

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Which of the following is an attribute of a successful parasite? They can effectively to defend against Host's immune system They cannot be easily identified by the host They replicate fast inside host They don't kill the host, or kills the host slowly All of the above

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Use the "mixed partials" check to see if the following differential equation is exact. If it is exact find a function F(x,y) whose differential, dF(x, y) is the left hand side of the differential equation. That is, level curves F(x, y) = C are solutions to the differential equation: First: M(x,y) = \boxed{} , and $N_x(x, y) = \boxed{} If the equation is not exact, enter not exact, otherwise enter in F(x, y) here $\boxed{} $(-2x^3 - 4y)dx + (-4x - 4y^3)dy = 0

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The FBI gathers data from approximately 17,000 law enforcement agencies, what is the name of the annual publication of this data? Crime in America (CA) Uniform Crime Reports (UCR) Justice Reporting Data (JRD) National Crime Victimization Survey (NCVS)

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Write the sum in sigma notation 53+42+31+20+dots+-255 sum_(k=1)^A B A= B= Hint: The answer for A should be a number and the answer for B should be an expression. Write the sum in sigma notation 53 +42 +31 +20 +...+-255 A B k=1 A= B= Hint: The answer for A should be a number and the answer for B should be an expression.

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The Fitness Studio, Incorporated's income statement lists the following income and expenses: EBITDA = $662,000, EBIT = $535,000, interest expense = $70,000, and net income = $441,000. Calculate the taxes reported on the income statement. Taxes

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Stilley Resources bonds have 20 years left to maturity. Interest is paid annually, and the bonds have a $1,000 par value and a coupon rate of 16.5 percent. Compute If the price of the bond is $1,430, what is the yield to maturity? (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places. Yield to maturity

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Problem 17.019 - Determine the putter head speed of a pivoting shaft-head-spring system. An adapted golf device attaches to a wheelchair to help people with mobility impairments play putt-putt. The stationary frame OD is attached to the wheelchair, and a club holder OB is attached to the pin at O. Holder OB is 6 in. long and weighs 16 oz, and the distance between O and D is x = 1 ft. The putter shaft has a length L = 36 in. and weighs 18 oz, while the putter head at A weighs 20 oz. Knowing that the 1-lb/in. spring between D and B is unstretched when $\theta$ = 90° and that the putter is released from rest at $\theta$ = 0°, determine the putter head speed when it hits the golf ball (i.e., at $\theta$ = 90°). The putter head speed when it hits the golf ball is 13.4 ft/s.

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amanda m.