Let N be the number that consists of 61 consecutive 3's. Let M be the number that consists of 62 consecutive 6's. What is the digit sum of N×M? Details and assumptions The digit sum of a number is the sum of all its digits. E.g. the digit sum of N is 3+3+3+ ...
Six children are standing along the x-axis at points (0,0), (17,0), (40,0), (85,0), (173,0), (440,0). The children decide to meet at some point along the x-axis. What is the minimum total distance the children must walk in order to meet?
What is the coefficient of x^4 in (x^2−x−2)^7?
A pellet gun fires ten 3.00 g pellets per second with a speed of 840 m/s. The pellets are stopped by a rigid wall. What is the average force (in newtons) exerted by the pellets on the wall?
A 8.30 kg object with a speed of 34.0 m/s strikes a steel plate at an angle of 45.0 degrees with the normal to the plate, and rebounds at the same speed and angle on the other side of the normal. What is the change (in magnitude only) of the linear momentum of the object (in k...
Children slide down a frictionless water slide that ends at a height of 1.80 m above the pool. If a child starts from rest at point A and lands in the water at point B, a horizontal distance L = 2.43 m from the base of the slide, determine the height h of the water slide.
If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the inside of the curve (a real problem on icy mountain roads). (a) Calculate the ideal speed to take a 105-m radius curve banked at 13.0°. km/h (b) What is the mi...
As shown in the figure below, a stick of length L = 0.330 m and mass m = 0.205 kg is in contact with a rough floor at one end and a frictionless bowling ball (diameter d = 21.50 cm) at some other point such that the angle between the stick and the floor is θ = 30°. De...
A 0.330-kg block of wood rests on a horizontal frictionless surface and is attached to a spring (also horizontal) with a 29.5-N/m force constant that is at its equilibrium length. A 0.0600-kg wad of Play-Doh is thrown horizontally at the block with a speed of 3.00 m/s and stic...
A mutual consent registry is relevant to obtaining medical information about what?
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