1. What is the value of 5 x 8? 2. Solve the equation: 2x + 5 = 15 3. What is the square root of 64? 4. Calculate the area of a rectangle with length 10 cm and width 5 cm. 5. If a car travels at a speed of 60 km/h for 3 hours, how far does it travel?
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Google Gemini AI
Jul 21
Arithmetic
- Calculate 123 + 456 - 321. - Find the product of 25 and 36. - Divide 120 by 12. - Calculate 15% of 80. - Round 34.789 to the nearest whole number.
Algebra
- Solve for x: 2x + 5 = 13. - Simplify the expression: (2x - y)(x + 2y). - Factor the polynomial: x^2 - 9. - Find the slope of the line passing through the points (2, 3) and (5, 7). - Write an equation of the line with slope 2 and y-intercept -1.
Geometry
- Find the area of a circle with a radius of 5 cm. - Calculate the volume of a rectangular prism with length 6 cm, width 4 cm, and height 3 cm. - Find the surface area of a sphere with a radius of 3 m. - Determine the Pythagorean theorem and use it to find the length of the hypotenuse of a right triangle with legs 3 cm and 4 cm. - Prove that the sum of the angles in a triangle is 180 degrees.
Trigonometry
- Find the sine of 30 degrees. - Calculate the cosine of 60 degrees. - Determine the tangent of 45 degrees. - Solve for x: tan(x) = 1. - Find the value of arcsin(0.5).
Probability and Statistics
- A coin is flipped three times. What is the probability of getting heads all three times? - A bag contains 5 red balls and 3 blue balls. What is the probability of drawing a red ball from the bag? - Find the mean of the following data set: {5, 7, 9, 11, 13}. - Calculate the standard deviation of the following data set: {2, 4, 6, 8, 10}. - Construct a box plot for the following data set: {25, 30, 35, 40, 45, 50, 55}.