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The depth of the ocean is sometimes measured in fathoms (1 fathom = 6 feet). Distance on the surface of the ocean is sometimes measured in nautical miles (1 nautical mile = 6076 feet). The water beneath a surface rectangle 1.20 nautical miles by 3.70 nautical miles has a depth of 18.0 fathoms. Find the volume of water (in cubic meters) beneath this rectangle. Number i Units

A rectangular box for a new product is designed in such a way that the three dimensions always have a particular relationship defined by the variable x. The volume of the box can be written as (6x^3)+(31x^2)+(53x)+30, and the height is always x+2. What are the width and length of the box?

One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in room temperature. Using those numbers, answer the following questions: a) What is the mass of a single gold atom in kg? b) Assume that gold atoms sit in a perfect cubic crystal structure. Estimate the distance between two gold atoms in meters.   c) If we have a gold cube of 6 cm on each side, how many atoms can we fit along the edge of each side of the cube?  d) What would be the mass, in kilograms, of the gold cube we discussed in part (c) (measuring 6 cm on each side)?

A rectangular block of iron was found to be 19.00 cm wide, 0.31500 m high, and 720.026 mm deep. Calculate the volume of this box in units of ft³. Be sure to express your answer to the correct number of significant figures.

(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

In the calculation of the perimeter of a square measuring:5.0 cm ± .05 cm by 5.0 cm ± .05 cm,What is the ± error on the calculation of the perimeter of the square?

Imagine that in the measurement of 4.6 cm long metallic cylinder, your measurements in centimeters are (3.0, 3.5, 4.0, 4.5, 5.0, 5.5,6.0). What is the standard error of your length measurement. O 1.08 O 0.022 O 0.22 O 0.41 O2.22

The base of a pyramid covers an area of 12.8 acres (1 acre = 43,560 ft²) and has a height of 471 ft. If the volume of a pyramid is given by the expression V = bh/3, where b is the area of the base and h is the height, find the volume of this pyramid in cubic meters. m³ ⒸSylvain Grandadam/Photo Researchers, Inc.

The radius of an atom of gold (Au) is about 1.35 Å. How many gold atoms would have to be lined up to span 4.0 mm? Express your answer using two significant figures.