Questions in mathematics

Questions in mathematics

[Done] Add and simplify: \(\frac{9}{16} + \frac{1}{2} = ?\)

[Done] Simplify the expression: \((−2x^0y^3)(4x^2y^4) + (2y^5)(3xy)^2\)

[Done] Alex built a snowman using three snowballs: one small, one medium, and one large, with diameters in the ratio 2:3:5. Assuming the snowballs are perfectly spherical and stacked vertically with adjacent snowballs sharing a single point of tangency, if the diameter of the medium snowball is 18 inches, what is the maximum height, in feet, of the snowman Alex built using the three snowballs?

[Done] What is AAS congruence?

[Done] You have designed a picture that is shaped as a square with dimensions of 6 x 6 inches. You want to enlarge it into a poster with dimensions of 13 x 13 inches. The duplication machine has three settings: reduce by 75%, enlarge by 140%, or make copies at 100%. How many multiple enlargements or reductions will you need to make in order to create a poster that has its sides 13 x 13 inches, accurate within five hundredths?

[Done] Given the equation: \[ \log_3(2x - 5) = 2 \] Solve for \( x \) to find why the answer is \(\frac{41}{2}\).

[Done] What is the volume of a sphere when [tex]r = 9 \text{ ft}[/tex]?

[Done] Find the slope and y-intercept of the graph of the equation: \[ Y = 6x + 11 \]

[Done] Which equation represents a line that is parallel to the line whose equation is [tex]2x + 3y = 12[/tex]? A. [tex]6y - 4x = 2[/tex] B. [tex]6y + 4x = 2[/tex] C. [tex]4x - 6y = 2[/tex] D. [tex]6x + 4y = -2[/tex]

[Done] What is \(0.6\) divided by \(12.9\)?