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Questions in mathematics

[Done] Find each of the following products. (i) 3 × (-1) (ii) (-1) × 225 (iii) (-21) × (-30) (iv) (-316) × (-1) (v) (-15) × 0 × (-18) (vi) (-12) × (-11) × (10) (vii) 9 × (-3) × (-6) (viii) (-18) × (-5) × (-4) (ix) (-1) × (-2) × (-3) × 4 (x) (-3) × (-6) × (-2) × (-1)

[Done] III. How much is 45,26,724 less than 1,00,00,000? IV. The total number of students in classes X and XII in all the schools of the state is 43,52,324. Out of these 18,40,126 are girls. How many boys are there?

[Done] Write the number names for these numbers. i) 6528 ii) 9009 iii) 7256 iv) 23,671

[Done] If B is a Banach space, prove that B is reflexive if and only if B* is reflexive. Prove that if B is a reflexive Banach space, then its closed unit sphere S is weakly compact.

[Done] What is the value of $x$ in the equation $2.5(6 x-4)=10+4(1.5+0.5 x)$?

[Done] Solve for x. $\begin{array}{c} -5(x-2)=-20 \\ x=[?] \end{array}$

[Done] $x+4 y=-56$ x-intercept ([?], $\square$) y-intercept ($\square$, )

[Done] Which expressions are equivalent to the given expression? $\frac{\sqrt{27}}{\sqrt{3}}$ I. $\sqrt{9}$ II. 3 III. $\frac{3}{\sqrt{3}}$ A. I and II only B. II only C. III only D. I only

[Done] Which of the following is the fourth vertex needed to create a rectangle with vertices located at (5, 6), (9, 6), and (5, 3)? A. (5, -6) B. (5, -3) C. (9, -6) D. (9, 3)

[Done] A publicist is promoting a new record. The table below represents the plan for providing promo codes for free downloads of a single from the record, [tex]f(x)[/tex], in tens of thousands of codes depending on the time since posting, [tex]x[/tex], in days. Which is the correct interpretation of the x-intercepts of the function? A. Their difference is the number of the most promo codes in a single day. B. Their sum is the total number of days the number of codes increased. C. Their sum is the total number of promo codes the publicist is releasing before the new record. D. Their difference is the number of days the first promo codes were released before the record.