Questions in mathematics

Questions in mathematics

📝 Answered - Solve: [tex]x=4+(4 x-4)^{\frac{1}{2}}[/tex]

📝 Answered - What is the following product? [tex]$\sqrt{30} \cdot \sqrt{10}$[/tex]

📝 Answered - 9. A man covers a distance of 12\frac{1}{2} kilometers in 1\frac{1}{4} hours. How much distance will he cover in 1 hour? 10. Ram bought 2\frac{1}{4} kilograms of sugar for ₹112\frac{1}{2}. Find the price of 1 kilogram of sugar.

📝 Answered - A. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). B. Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A). C. Assertion (A) is true but reason (R) is false. D. Assertion (A) is false but reason (R) is true. Assertion(A): $\frac{-7}{12}$ is a rational number. Reason (R): Every rational number is a fraction. Assertion(A): Every integer is a rational number. Reason (R): On a number line, rational numbers $\frac{-3}{4}$ and $\frac{3}{4}$ are at equal distance from zero. Assertion(A): The angle bisectors of a triangle meet at its orthocentre. Reason (R): The incentre of a triangle is equidistant from its sides. Assertion(A): $(5,12,13)$ are pythagorean triplets. Reason (R): In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

📝 Answered - Solve the equation. [tex]9 f-11=3 f+23[/tex]

📝 Answered - Explain how to solve the problem below. In your response, you must analyze the given information, discuss a strategy or plan to solve the problem, determine and justify a solution, and evaluate the reasonableness of the solution. Chad casts a shadow that is 14.3 feet long. The straight-line distance from the top of Chad's head to the end of the shadow creates a [tex]$23^{\circ}$[/tex] angle with the ground. How tall is Chad, to the nearest tenth of a foot?

📝 Answered - Use the binomial theorem expression to find the expansion of $(2 x+1)^4$. A. $(2 x+1)^4=32 x^4+8 x^3+16 x^2+x+8$ B. $(2 x+1)^4=x^4+4 x^3+6 x^2+4 x+1$ C. $(2 x+1)^4=16 x^4+32 x^3+24 x^2+8 x+1$ D. $(2 x+1)^4=x^4+x^3+x^2+x

📝 Answered - Graph the system of linear equations. $-\frac{1}{2} y=\frac{1}{2} x+5$ and $y=2 x+2$. The solution to the system is ( $\square$ , $\square$ ).

📝 Answered - Where will her cut be located? Round to the nearest tenth. [tex]x=\left(\frac{m}{m+n}\right)\left(x_2-x_1\right)+x_1[/tex] Genevieve is cutting a 60-inch piece of ribbon in the ratio of 2:3. Since 2 inches are frayed at one end of the ribbon, she will need to start 2 inches in. This is indicated as 2 on the number line. A. 25.2 in B. 29.4 in C. 35.1 in D. 40.7 in.

📝 Answered - Solve the absolute value inequality: [tex]$|x+12|+5<27$[/tex] Isolate the absolute value by subtracting 5 from both sides. [tex]$|x+12|<22$[/tex] Separate into a compound inequality. A. [tex]$-22 x+12<22$[/tex]