Questions in mathematics

Questions in mathematics

📝 Answered - A right pyramid with a square base has a base length of x inches and a height of (x + 2) inches. The height is two inches longer than the base length. Which expression represents the volume in terms of x? A) \( \frac{x^2 (x + 2)}{3} \) cubic inches B) \( \frac{x (x + 2)}{3} \) cubic inches C) \( \frac{x^3}{3} + 2 \) cubic inches D) \( x^3 + 2 \)

📝 Answered - Fill in the missing numbers: (a) 8 x .......... = 8 (b) 17 x .......... = 0 (c) .......... x 1 = 5 (d) 10 x .......... = 10 (e) 24 x .......... = 0 (f) 5 x 10 = .......... (g) 3 x .......... = 30 (h) 7 x 100 = .......... (i) .......... x 100 = 400 (j) 9 x 10 = ..........

📝 Answered - Q3. 'Math in My House' - Treasure Hunt Find 10 objects at home. For each object, write: - Shape - Estimated length/height - Which solid shape it resembles (cube, cuboid, etc.) Add pictures if possible.

📝 Answered - An arithmetic sequence has u₆ = -8 and u₁₃ = -22. Calculate the first term, u₁.

📝 Answered - A seller you're working with still owes $[tex]50,000[/tex] on their mortgage but wants to net $[tex]20,000[/tex] after the mortgage and 7% commission are paid. What is the minimum for which the house must sell? A. $[tex]75,269[/tex] B. $[tex]79,645[/tex] C. $[tex]89,900[/tex] D. $[tex]90,645[/tex]

📝 Answered - Given: [tex]\tan A=-\sqrt{15}[/tex] What is the value of [tex]\tan \left(A-\frac{\pi}{4}\right)[/tex] ? A. [tex]\frac{\sqrt{15}+1}{1-\sqrt{15}}[/tex] B. [tex]\frac{-\sqrt{15}+1}{1+\sqrt{15}}[/tex] C. [tex]\frac{\sqrt{15}-1}{1+\sqrt{15}}[/tex] D. [tex]\frac{-\sqrt{15}-1}{1-\sqrt{15}}[/tex]

📝 Answered - Vertical angles must: Check all that apply. A. be congruent. B. be acute. C. be complementary. D. have the same vertex.

📝 Answered - If point [tex]P[/tex] is [tex]\frac{4}{7}[/tex] of the distance from [tex]M[/tex] to [tex]N[/tex], what ratio does the point [tex]P[/tex] partition the directed line segment from [tex]M[/tex] to [tex]N[/tex] into? A. [tex]4: 1[/tex] B. [tex]4: 3[/tex] C. [tex]4: 7[/tex] D. [tex]4: 10[/tex]

📝 Answered - An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

📝 Answered - Given that [tex]f(x)=2 x^3-x^2+5 x-2[/tex], find: (a) [tex]F(0)[/tex] (b) [tex]F(1)[/tex]