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lentigines? hypopigmentation of patchy skin areas, liver spots from sun exposure

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1. A bike rider approaches a long downhill. At the top of the hill, her speed is 10 m/s. The hill is 30 m high. The combined mass of the bike and rider is 80 kg (use m = 80 kg throughout this problem.) Set h=0 at the bottom of the hill for the gravitational PE. 30m 10m/s Gravitational pe=mgh (80kg) (9.8) (30) +1 2350 1.60x10-7 a. What is the initial total energy of bike and rider, when she is at the top going 10 m/s? KE = \frac{1}{2}(m)v^2 +1 \frac{1}{2} \times 80 \times 20^2 160000 b. Imagine there is no air resistance or friction. The rider coasts down the hill without pedaling. Find her speed at the bottom (vikes). 30~ c. Now, more realistically, imagine there is air resistance and the rider loses 13000 J of energy to it during her descent. But she's racing and wants to be going 20 m/s at the bottom. How much work, in Joules, does she have to do pedaling to achieve this?

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I run up the stairs at a constant speed for 5 seconds. My mass is 70 Kg. I run a distance of about 20 meters, increasing my elevation by 10 m in the process. a) Find my average power production during this time b) I said, “constant speed”. What if instead, I started from rest and was running fast at the end – explain how this change would or wouldn’t change my answer.

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Knowledge is human capital plus business know-how. ? True ? False

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QUESTION 7 · 1 POINT Given the table of values below, find the average rate of change of the function $f(x)$ on the interval $[4, 10]$. $x$ 4 5 6 7 8 9 10 11 12 13 14 $f(x)$ 70 94 102 123 141 162 195 199 232 238 251 Enter an exact answer.

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John is running at a constant 5 m/s when he passes Bob. If Bob starts running at this point with an acceleration of 0.5 m/s2, how long will it take him to catch up to John? Group of answer choices 33.33 s 14.29 s 100.0 s 20.0 s

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A Corrective Exercise Specialist attempts to perform a shoulder to overhead exercise with their client, which causes the client pain in the shoulder joint. The specialist suspects the problem may be an impingement. What would the next appropriate course of action be?

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Question 2 (25 Marks) Figure 2 shows the cross-section of a thin-walled beam. The thickness $t$ of the walls is constant throughout. 6 1.5 mm 17 mm $S_y$ 5 15 mm 4 1.5 mm $\xi$ 30 mm $S_x$ 1.5 mm $s_2$ 3 2 $s_1$ 1 60 mm Figure 2: cross-section of a thin-walled beam. (a) Calculate the position of the shear centre from wall 3-4 (i.e. $\xi$) of the thin- walled section shown in Fig. 2. (b) Give the definition of shear centre. Total MARKS 20 5 25 To calculate the second moments of area of the inclined walls, use the following expressions. $$I_{xx} = \frac{a^3t \sin^2 \beta}{12}$$, $$I_{yy} = \frac{a^3t \cos^2 \beta}{12}$$, $$I_{xy} = \frac{2ta^3 \sin 2\beta}{24}$$

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Find the number of solutions of the equation 5x^(2) + 3x -2 = 0 by using the discriminant.

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The S&P 500 index futures price is currently 1200 and the initial margin is 10%. The continuously compounded rate of interest earned on margin balance is 3% and the maintenance margin is 85% of the initial margin. Jack enters into 12 S&P 500 futures contracts to sell the index, and his position is marked to market weekly. Find the notional value of Jack's position. Find the maintenance margin for Jack's position. Find the smallest S&P 500 index futures price 1 week from today at which Jack will receive a margin call.

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tom-s p.