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Questions in mathematics

[Jawaban] Find the sum. $\left(2 a^2+a b+2 b\right)+\left(4 a^2-3 a b+9\right)$ A. $6 a^4-a b+2 b+9$ B. $6 a^4-2 a b+9$ C. $6 a^4+2 a b+2 b+9$ D. $6 a^2-2 a b+2 b+9$

[Jawaban] Fruit cocktail comes in large and small cylindrical cans. The larger can has a radius and height that are both twice as long as that of the radius and height of the smaller can. If the volume of the smaller can is $28.64 in ^3$, what is the volume of the larger can? A. 57.28 in $^3$ B. $114.56 in ^3$ C. $229.12 in ^3$ D. $171.84 in ^3$

[Jawaban] Find the slope of the line passing through the points $(4,-8)$ and $(9,-8)$.

[Jawaban] Work out $\frac{8}{11} \times \frac{3}{2}$. Give your answer as a fraction in its lowest terms.

[Jawaban] John sold an article for $105,000.00 at a loss of $4\%. Find the cost price of the article. A. $N 100,800.00 B. $105,400.00 C. $N 109,200.00 D. $N 109,375.00

[Jawaban] Which properties are present in a table that represents a logarithmic function in the form [tex]$y=\log _0 x_{\text {when }} b\ \textgreater \ 1$[/tex]? I. The [tex]$y$[/tex]-values are always increasing or always decreasing. II. The point [tex]$(0,1)$[/tex] exists in the table. III. The [tex]$y$[/tex]-values will decrease rapidly as the [tex]$x$[/tex]-values approach zero. IV. There will only be one [tex]$x$[/tex]-value in the table with a [tex]$y$[/tex]-value of zero. A. I only B. I and II only C. I, III, and IV D. II and III only

[Jawaban] Find the gradient of the tangent to the curve [tex]$w=\frac{v^3-7 v+2}{(v+2)(v^2-v+3)}$[/tex] at the point [tex]$v=\frac{2}{3}$[/tex]

[Jawaban] Write the given numbers in word form. a) 1020 b) 2355

[Jawaban] Which statements are true for the equation [tex]$x^2=-4 y$[/tex]? Check all that apply. The axis of symmetry is [tex]$x=0$[/tex]. The focus is at [tex]$(0,-1)$[/tex]. The parabola opens up. The parabola opens right. The value of [tex]$p=-1$[/tex] The equation for the directrix is [tex]$y=0$[/tex].

[Jawaban] Use the following compound interest formula to complete the problem. [tex]$A=P\left(1+\frac{r}{n}\right)^{\prime \prime}$[/tex] Rodney owes $1,541.05 on his credit card. His card has an APR of 16.29%, compounded monthly. Assuming that he makes no payments and no purchases, how much will he owe after one year? A. $1,811.70 B. $1,792.09 C. $1,541.05 Please select the best answer from the choices provided.