Grade - math word problems - page 947 of 968
Number of problems found: 19341
- Sequence 3
Write the first 6 members of an arithmetic sequence: a5=15, a11=39. - Sequence 2
Write the first 6 members of an arithmetic sequence a3=-2, d=-5. - Sequence
Write the first 5 members of an arithmetic sequence: a1=-6, d=-1. - Fall
The body was thrown vertically upward at speed v0 = 39 m/s. Body height versus time describes equation h = v0 * t - (1)/(2) * 9.8 * t². What is the maximum height of body reach? - Statue
On the pedestal, high 4 m is a statue 2.7 m high. At what distance from the statue must the observer stand to see it at the maximum viewing angle? Distance from the eye of the observer from the ground is 1.7 m. - Tinsmith
A tinsmith constructs a chimney pipe 186 cm long and 16 cm in diameter. The pipe is made from a flat sheet with an overlap of $x cm at the seam. What dimensions must the sheet have? - Cubes
The surface areas of two cubes, whose edges differ by 42 cm, differ by 16128 cm². Determine the edge length of each cube. - Resistors
Two resistors connected in parallel give a combined resistance of $R1 Ω, and connected in series give a combined resistance of $R2 Ω. Determine the resistance of each resistor. - Free fall
Pavel fell from a height of 9 m. Calculate the speed at which they hit the ground, given a gravitational acceleration of g = 9.81 m/s². - Subway
A subway train accelerated uniformly for 26 seconds, reaching a speed of 72 km/h. It then travelled at this speed for 56 seconds, before decelerating uniformly to a stop in 16 seconds. What was the distance between the stations? - Cuboid
Find the dimensions a, b, and c of a cuboid whose space diagonal is d = 6 dm and makes an angle α = 35° with edge a and an angle β = 66° with edge b. - Rail turn
The curve radius on a railway line is 532 m. The length of the rail track along this curve is 818 m. What is the angle ASB in degrees, where A and B are the endpoints of the curve and S is the centre of the arc? - Cone
The circular cone has height h = 15 dm and base radius r = 2 dm slice plane parallel to the base. Calculate the distance of the cone vertex from this plane if solids have the same volume. - ŽSR
Calculate fixed annual personnel costs of operating monorail line 143 km long if every 5 km is a station that serves three people - one dispatcher and two switchmen in 4-shift operation. Consider the average salary of the employee 884 euro. - Salary
Calculate the equivalent annual salary to an hourly wage of $ 15. Assume a 33-hour workweek. - Log
If log4 x+ log8 x = log_b x, what is b? - Web server
Calculate how many average minutes the web server is unavailable a year if the availability is 99%. - Crystal
The crystal grows every month at 1.2 permille of its mass. How many months does it take to develop from weight 177 g to 384 g? - Pool
Water flows into a pool through two inlets and fills it in 5 hours. If the first inlet alone takes 5 hours longer than the second inlet alone, how long does each inlet take to fill the pool on its own? - Equation
How many real roots have equation x³=x?
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