A radioactive material has a half-life of 20 days. A sample of the material contains 8.0 × 101° atoms. How many atomic nuclei have decayed after 60 days? A 1.0 x 1010 B 4.0 × 1010 C 6.0 x 1010 D 7.0 x 1010

Q: The slope of a slanted surface is 2:7. If the horizontal distance is 7/2, what is the vertical…

A: Given: The slant is of ratio 2:7. The horizontal distance is 7/2.

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A: Given: Surveyor move along with the river (AB) = 100 m. Horizontal angle (θ) = 35

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Q: Vector A is 30 N and Vector B is 40 N, What angle does Vector A make with Vector B when the…

A: The angle does the vector A make with vector B is, R2=A2+B2+2ABcosθR2-A2-B2=2ABcosθcosθ=R2-A2-B22AB

Q: The length of the slope of a mountain is 2820 m, and it makes an angle of 10.4° with the horizontal.…

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A: Kinematics.

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Q: 25° 125 N 62⁰ b = 40 N 130 N 20% a = 15 N 23° 45° 150 N 180 N

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Q: Suppose you walk 15 m in a direction exactly 19° south of west then you walk 25.5 m in a direction…

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Q: Vector V₁ has a magnitude of 3.47 and points along the positive x-axis. 1 Vector V₂ has a magnitude…

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Q: A bushwalker walks 15 km east and then 11 km south. Find the bearing of his finishing position from…

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Q: A surveyor measures the distance across a straight river by the following method: Starting directly…

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Q: Two of the interior angles of a triangle are 44.7 degrees and 62.1 degrees. What is the third…

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Q: A person walks 8 km due east, then 6 [km] due south, and finally 10 [km] due north-west (135 degree…

A: Given value--- A person walks 8 km due east, then 6 [km] due south, and finally 10 [km] due…

Q: The loading ramp at a delivery service is 15 ft long and makes a 19.0° angle with the horizontal. If…

A: First loading ramp delivered service = 15f And make angle = 19°

Q: Suppose you walk 11.5 m in a direction exactly 17° south of west then you walk 24 m in a direction…

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Q: A tourist strolling around the city walks 1.72 km north, 1.55 km west, then 2.86 km south. How far…

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Q: A spelunker (person who explores caves) determines that the cave entrance is located 349 m, 253°…

A: Draw the vector diagram to locate the positions of the cave entrance as shown below:

Q: Vector A has a magnitude of 6 units, vector B has a magnitude of 7 units, A dot B has a value of 14.…

A: Given data The magnitude of vector A is given as A=6 units. The magnitude of the vector B is given…

Q: Find the angle between A = 3i+j and B= 3i+3j

A: Vector Vector

Q: A ship is 2.2° off course. If the ship is traveling at 28.0 miles per hour, how far off course will…

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Q: Solve the following problem using analytical techniques: suppose you walk 15.0 m straight west and…

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Q: A hiker begins from base camp by walking 2.5 km at an angle 41.8 degrees north of east. At this…

A: given, A=2.5 km @41.80 north of eastB=3.5 km @ 45.60 west of north

Q: An airplane starting at city A flies 350 km at 30 degrees east of north, 125km at 30 degrees east of…

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Q: Needs Complete typed solution with 100 % accuracy.

A: GivenA Coast Guard cutter detects an unidentified ship at a distance of 22.0 km in the direction…

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Q: A ship sails 400 miles due east. It then sails north 45 degrees West for 200 miles. Where is the…

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Q: In what direction, as measured from the position of your car, is your final position? (Give your…

A: Given data: The distance in the southeast direction is: A = 25 km The distance in the northeast…

Q: Part 2 of this question ask for the  direction     ° below the +x-axis

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Q: Form the cross product of A= 23km 37° and C = 47km 193°

A: To determine: The cross product    Given: A=23 km at 37° C=47 km at 193°

Q: You start off on a hike and walk 25km in a direction 30 degrees South of West followed by 30km to…

A: In this question we have to find the direction the person moves, it is an angle that we are looking…

Q: A Coast Guard cutter detects an unidentified ship at a distance of 22.0 km in the direction 15.0°…

A: A coast cutter detects an unidentified ship at a distance of 22.0 km in the direction  east…

Q: Given: A: A = -16.7, Ay = 37 B: Br=-0.4, By = -23.8 (a) Calculate the length and direction of A.…

A: Given Ax=-16.7Ay=37Bx=-0.4By=-23.8(a)A=Ax2+Ay2  =-16.72+372  =40.59θA=tan-1AyAx   =tan-137-16.7…

Q: The pilot of a private plane flies 20.0 km in direction 60° north of east, then 30.0 km straight…

A: Consider the figure,

Q: Label each vector with the correct description. a b 30 km, 78° south of east No matching description…

A: