Power - high school - practice problems - page 3 of 11
Number of problems found: 214
- Perfect cube
Which of the following number is not a perfect cube? a. 64 b. 729 c. 800 d. 1331 - Performance 45861
The electric motor with a power input of 25 kW works with an efficiency of 80 percent. He will do the work in 6 hours. What is the performance, and what part of the work is the loss? - Two gardens
The flower garden has a square shape. The new garden has a rectangular shape; one dimension is 8 m smaller, and the other is twice as large as in a square garden. What were the original and new garden dimensions if both gardens' areas were the same? - Future value investment
Poseidon deposited 2,747 golden drachmas in a Mount Olympus college savings account to ensure Percy could attend college. It pays 0.04 (percent in decimal form) annual interest. After 11 years, he withdraws the money. How much more money would he have if
- The output
The output voltage of the transformer is 880 V. The secondary coil has 1200 turns. Transformation ratio k = 4. Find the voltage to which the primary coil is connected. How many turns does the primary coil have if a current of 1 A flows through it? What cu - Free fall
The elevator car weighing 720 kg, is torn off at the height of 125 m and begins to fall in a free fall. How much kinetic energy did the elevator car have when it hit the ground floor of the building when the free fall of the car lasted 5 s? - The sum
The sum of the squares of two immediately following natural numbers is 1201. Find these numbers. - Doctors
The drug successfully treats 90% of cases. Calculate the probability that it will cure at least 18 patients out of 20. - Electric cooker
During which time, does an electric cooker with power input P = 500 W and with efficiency n = 75% heat water with mass m = 2 kg and temperature t1 = 10°C to the boiling point (t2 = 100°C). The specific heat capacity of water is c = 4 180 J. Kg-1. K-1
- Find x 2
Find x, y, and z such that x³+y³+z³=k for each k from 1 to 100. Write down the number of solutions. - Present value
A bank loans a family $90,000 at a 4.5% annual interest rate to purchase a house. The family agrees to pay the loan off by making monthly payments over 15 years. How much should the monthly payment be in order to pay off the debt in 15 years? - Future value
Suppose you invested $1000 per quarter over 15 years. If money earns an annual rate of 6.5% compounded quarterly, how much would be available at the end of the time period? How much is the interest earned? - Efficiency 35023
The cellar, which has a floor area of 50 m2, 3 m below ambient level, was flooded with water to a height of 80 cm. How long does it take for a pump with a power input of 1 kW and an efficiency of 75% (η = 0.75) to drain the water? - Sum of GP members
Determine the sum of the GP 30, 6, 1.2, to 5 terms. What is the sum of all terms (to infinity)?
- What is 10
What is the 5th term if the 8th term is 80 and the common ratio r =1/2? - What are 2
What are the two more terms of the GP (geometric progression) a, ax, ax², ax³, __, __? - Geometric progression
If the 6th term of a GP is four and the 10th is 4/81, find common ratio r. - Concrete column
The concrete column of the highway bridge has the shape of a block with dimensions of 1m x 0.8m x 25m. Crane should lift it to a height of 20m. What is the power of his engine if the lifting takes 2 minutes? - Perpendicular 32733
Calculate the right triangle ABC, the perpendicular b = 43.5 cm of the hypotenuse c = 72.9 cm. Calculate: A hypotenuse segment cb, side a, a hypotenuse segment ca, and a height of triangle v
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