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what is the exact solution for 75(1/5)^(x/5)=3 Which contains an independent clause? Match the Exponential functions to the Y intercept. A swimmer heading directly through a 200m wide river reaches the opposite shore in 6 min 40s. She is washed downstream 480 m. How fast can you swim in calm water? When a number is tripled, it gives the same result as when 32 is added to it.What is the number? A fallacy is a __________. Question 17(Multiple Choice Worth 2 points)A scientist measures the rate of a reaction between two liquids. Then, he performs the reaction again, adding solid manganese. The reaction takes place morequickly the second time. The mass of the manganese decreased by 0.45 grams during the reaction. He claims that the manganese acted as a catalyst becausesped up the reaction. Is the scientist correct? Why or why not?Yes, because the reaction happened more quickly with the manganese.Yes, because the manganese was a solid, and all solids are catalysts.No, because manganese is a metal, and metals cannot be catalystsNo, because some manganese was used during the reaction, and catalysts are not used up. Identify which of the following is NOT equivalent to 2 3/4 Which sentence is an example of a first-person narrative? student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 34 centimeters, and the length of the other leg is 26 centimeters. The student incorrectly says that the length of the hypotenuse is 7.7 centimeters. Answer parts a and b.a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter. An isosceles triangle has legs whose lengths are 10 inches and a base whose length is 12 inches. Which ofthe following is the area of the triangle in square inches?(1) 34(2) 48(3) 60(4) 84 1. What is the inductance of a series RL circuit in which R= 1.0 K ohm if the current increases to one-third ofits final value in 30 micro s? A function models the growth of a sample starting with 40 bacteria with the ability to double every two hours. Which graphmodels the function? The door to your bathroom has never closed well. In fact, every time you try to use the bathroom, the cats bust open the door because it simply wont latch. You look at the door and it appears that the door frame is slightly tilted. The person who built your house claims that cant be true because he measured your door frame and found it be an exact right angle. He claims what youre seeing is an optical illusion. If you knew the door frame measurements were as pictured to the right, did the builder install your door frame correctly at a right angle? Convert from standard form to scientific notation:0.00000013 A)1.3 x 10-7B)13 x 108C)1.3 x 107D)13 x 10-8 Constructive interference occurs when the compression of one wave meetsup with the compression of a second wave.A. TrueB. False A newly hired nurse is being given orientation and training in the hospital by a senior member of the nursing staff. Assigned to a medical -surgical unit the nurse receives instructions on procedures. The nurse is instructed to "push Heparin IV" through a tube in the person's arm. The nurse when being trained in nursing program was instructed not to do so such a thing as it could have serious consequences. When the newly hired questioned the procedure that nurse was told by the senior nurse: "Look that is how we do it here, missy. We are understaffed and do not have the time to do it intravenously. If you want to work here that is how you will do it too." What should the response of the new nurse be to this situation? Why? How would someone respond to this situation using the ethical principles of: (Respond using the principles of the ethical tradition for your group Your group is assigned according the letter that starts your last name) H-L 1. an egoist M-Q 2. a rule utilitarian R- T 3. a Kantian U-Z 4. a Natural Law theorist A-G 5. a Rawlsian? Identify the terms and like terms in the expression.z + 8 - 4z 5, Construct Arguments May bought 12hats. What solid figure do the hats looklike? What attributes help you decide? ASAP ASAP ASAP The successes of the civil rights movement of the 1950s largely left out