Question Solved1 Answer The question is in the picture ! The net of a rectangular prism and its dimensions are shown in the diagram.7.5 in.7.5 in.3 in.3 in.11.5 in.11.5 in.What is the total surface area of the rectangular prism in square inches?Jin?

In a certain state the maximum speed permitted on freeways is 65 mi/h, and the minimum is 40 mi/h. The fine F for violating these limits is $15 for every mile above the maximum or below the minimum. (a) Complete the expressions in the following piecewise defined function, where x is the speed (in mi/h) at which you are driving. if 0 < x< 4o F(x) = { if 40 <xS 65 if x > 65 (b) Find F(20), F(45), and F(85). F(20) = F(45) = F(85) = (c) What do your answers in part (b) represent? O The maximum speed one can drive without paying a fine. O The awards for obeying the speed limits on the freeway. O The initial speed at which a fine will be incurred. O The fines for violating the speed limits on the freeway. O The minimum speed one can drive without paying a fine.

Find parametric equations for the line that passes through the point (3, 3) and is parallel to the line y = −(9/2)x-5 (Enter your answer as a comma-separated list of equations where x and y are in terms of the parameter t.)

A first order reaction is carried out at 100°C. In order to double the rate constant, the temperature needs to be increased to 200 °C. What is the activation energy of this reaction? a) 10.2 kJ/mol b) 0.098 kJ/mol c) 10165 kJ/mol d) 0.87 kJ/mol e) 1.15 kJ/mol

Hello, if you could possibly help me solve this by clearly showing the steps that would be extremely helpful! Thank You! 49. (a) Use the reduction formula in Example 6 to show that Сп/2 п/2 " sin"-x dx п sin"x dx = п‑ п where n > 2 is an integer. (b) Use part (a) to evaluate " sin'x dx and sin'x dx. (c) Use part (a) to show that, for odd powers of sine, /2 2·4· 6 2n T/2 sin 2n+1 'x dx 3. 5·7. ..·(2n + 1)

Scientists can track the movement of proteins through the endomembrane system using an approach known as a pulse-chase experiment. This experiment involves • the "pulse" phase: Cells are exposed to a high concentration of a radioactively labeled amino acid for a short period to tag proteins that are being synthesized. • the "chase" phase: Any unincorporated radioactively labeled amino acids are washed away and large amounts of the same, but unlabeled, amino acid are added. Only those proteins synthesized during the brief pulse phase are radioactively tagged. These tagged proteins can be tracked through the chase period to determine their location in the cell. The data below were obtained from a pulse-chase experiment in which cells were examined at different times during the chase period. The numbers represent the radioactivity (measured in counts per minute) recorded at each of the indicated sites. The higher the number, the greater the radioactivity ER 162 Time 3 minutes 20 minutes 60 minutes 73 Golgi Cytoplasm Lysosomes Extracellular space 7 21 5 4 88 17 10 8 35 14 112 13 23 18 151 10 9 120 minutes 11 Based on these data, what of the following is the most likely function of the cells in this experiment? O secretion O phagocytosis O detoxification O muscle contraction

[-/3 Points] DETAILS MENDSTATC4 4.E.073. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER If an experiment is conducted, one and only one of three mutually exclusive events S, Sy, and Szcan occur, with these probabilities. P(S) = 0.1 P(S) = 0.5 P(Sz) = 0.4 The probabilities of a fourth event A occurring, given that event S, Szor Szoccurs, are the following. P(AIS) = 0.1 P(AIS) = 0.2 P(AS) = 0.4 If event A is observed, find P(S,A), P(S2/A), and P(Sz|A). (Round your answers to four decimal places.) P(SIA) = P(S21A) = P(S31A) = Need Help? Read It (-/1 Points] DETAILS MENDSTATC4 4.E.076. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A worker-operated machine produces a defective item with probability 0.07 if the worker follows the machine's operating instructions exactly, and with probability 0.09 if he does not. If the worker follows the instructions 90% of the time, what proportion of all items produced by the machine will be defective? Need Help? Read It