Power - practice problems
Power is the amount of work done (energy supplied) per unit time. In physics, power is the amount of energy transferred or converted per unit time. In the SI units, the unit of power is the watt, equal to one joule per second. Other units are, for example, 1 hp (one horsepower; 1 hp = 735.5 W) and then derived units such as kW - kilowatt.Number of problems found: 591
- Square lawn
A square lawn has a 2 m wide path surrounding it. If the area of the path is 136 square meters, find the area of the lawn. - Difference of squares
If the difference between two numbers is 3 and the difference of their squares is 39, then find the larger number. - Three cubes
Three cubes of iron whose edges are 6 cm, 8 cm, and 10 cm, respectively, are melted and formed into a single cube. Find the edge of the new cube. - Selling cloth
By selling 33 m of cloth, a shopkeeper loses an amount equal to the selling price of 3 m of cloth. Find his gain or loss percentage.
- Cbrt of fraction
If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/27. Find the fraction. - Two points
M and N are two points on the X-axis and Y-axis, respectively. Point P (3, 2) divides the line segment MN in a ratio of 2:3. Find: (i) the coordinates of M and N (ii) slope of the line MN. - Two workers 10
Worker P can do a work 3 times faster than Q and therefore takes 40 days less than Q.Find the time in which P and Q can complete the work individually. - Simplify complex expr
Perform the indicated operations and write the results in the form of a + bi: (2 + 3i)³ (ii) (1 + i)⁴ - A student 8
A student was asked to write 25 * 9² . By mistake he write 2592. Find the difference.
- LS and y-axis intersection In what ratio is the line segment joining P (5, 3) and Q (–5, 3) divided by the y-axis? Also, find the coordinates of the intersection point.
- The product 15
The product of two consecutive even numbers is 48. If the square of the smaller number is 35, what is the other number? - A pattern
If I have a pattern that starts with 1, 4, 9, 16, 25... and so on, which of the following numbers would not appear? - Grain storage
On their farm, Adam's family maintains a storage facility that can hold 19.2 cubic yards (yd3) of grain. Since 1 yard is approximately equal to 0.9144 m, this volume can be converted to m³. - Evaluation order quiz Which of the following is NOT true about the expression given below? (10 +4)²- 25 ...
- Two numbers 17
The sum of two numbers is 9, and the sum of their cubes is 189; find the sum of their squares. - Fraction function
If Begin equation . . . y equals . . . begin fraction . . . x raised to the second power minus 3 times x plus 10 . . . over . . . x plus 4 . . . end fraction . . . end equation, find f(5). - An electricity
If the Rodriguez family used 520 kilowatt-hours of electricity in 12 days, how many kilowatt-hours should they use in 6 days at the same usage rate? - Powers of three Simplify to a single power of 3: 35/3 Words: start fraction, 3, to the power 5, divided by, 3, end fraction.
- Vegetable storage
To help vegetables stay fresh longer, Liam's family maintains storage near their home. The total volume of the root cellar is 737 cubic feet (ft³). Use the fact that 1 foot is approximately equal to 0.3048 m to convert this volume to m³. Round your answer
When an acute angle φ is in the standard position, its terminal side passes through point P (1,3). Find trigonometric functions of angle θ : sin φ, cos φ, tan φ, cotan φ.Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
