Find the direction of the electric field at the origin (at point (0,0)) if there are are two charges as described: A +3 mC charge is directly 22 m to the left of the origin/at point (-22, 0). A +4 mC charge is 20 meters directly below the origin/at point (0,-20). Express your answer in degrees in standard format, where 0 deg is the horizontal x- axis and angle is measured counter-clockwise.

6. Using dimensional analysis, evaluate the following and report in the unit required. Be sure to use the correct number of significant figures. a. 0.735 mL + 1.10 mL (report in L) b. 10.2 mL +5.10 x 10^-3 L-875 μL (report in mL)

Part B Problems: Measurement and Uncertainty; Significant Figures; Units, Standards, and the SI System; Converting Units 3. In the Bible, Noah is instructed to build an ark 300 cubits long, 50.0 cubits wide, and 30.0 cubits high. Historical records indicate a cubit is equal to half a yard. (a) What would be the diımensions of the ark in meters? (b) What would be the ark's volume in cubic meter? To approximate, assume that the ark is to be rectangular.

(a) The volume V of a growing spherical cell is V = ³, where the radius is measured in micrometers (1 μm = 10-6m). Find the average rate of change of V with respect to r when r changes from 6 to each of the following. (Round your answers to one decimal place.) (i) 6 to 9 μm # Tab (ii) 6 to 7 μm aps Lock Esc Submit Answer (iii) 6 to 6.1 um (b) Find the instantaneous rate of change of V with respect to r when r = 6 μm. (Round your answer to one decimal place.) V'(6) = Tum3 / um Need Help? um3/um 1 μm³/um F1 Q um3/um Type here to search Read It F2 2 F3 # 3 O WE F4 $ 4 E R F5 C % 5 T F6 ( A 6 F7 Y 0 & 7 F8 U 4 * 8 F9 8 ( 9 F10 66°F Clear ) F11 0 A O6 6 P A S D F G H J K 2 L 3 Activate Windows Go to Settings to activate Windows. O F12 4) ENG 9:36 PM 10/6/2022 U Backspace Delete Enter

Solve the formula for the specified variable. F = Gm,m2. m1 (physics) m1 = Solve the formula for the specified variable. an = a1 + (n - 1)d; d (mathematics) d =

For each biological model below determine the dimensions of the parameters, based on the given dimensions of the variables. 1. Model of number of mutations M as a function of time t: M(t) — Мо + дut 2. Model of molecular concentration C as a function of time t: -kt C(t) = Coe 3. Model of tree height H (length) as a function of age a (time): ba H(a) c+a 4. Model of cooperative binding of ligands, with fraction of bound receptors 0 as a function of ligand concentration L: 0(L) = Ln + Kd 5. Model of concentration of a gene product G (concentration) as a function of time t: G(t) = Gm(1 – e at)

3 Problem 2: The wall lengths of a backyard shed are measured and found to be 10.0 ft, 5.0 ft, 5.0 ft, and 8.0 ft. Each measurement has an uncertainty of 0.5 ft. Find Pm: a b On a separate piece of paper, write the equation for perimeter: P = 1 + 2 + W₁ + W2. Find the value of P, AP, and Pm. Show your work. Note: Refer to Figure 10 to determine the appropriate equation for calculating AP. Write your name and date on the paper. Take a clear photograph of your work and upload the image into Photo 2. C Record the value of Pm in Data Table 1.

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A spelunker is surveying a cave. She follows a passage 160 m straight west, then 230 m in a direction 45 degree east of south, and then 280 mm at 30 degree east of north. After a fourth unmeasured displacement, she finds herself back where she started. Part a)Use a scale drawing to determine the magnitude of the fourth displacement. Express your answer using two significant figures. Part B)Determine the direction of the fourth displacement. Express your answer using two significant figures

Now you will use the ruler to measure the dimensions of a block of pure aluminum metal. Make sure you report both the uncertainty and an estimated digit with your answers. V [ Select ] 1 21 1.5 cm +/- .1 cm cm 1.38 cm +/- .01 cm What is the best measurement of the length of this block? 1.35 cm +/- .01 cm 1.3 cm +/- .1 cm 1.40 cm +/- .05 cm