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Questions in mathematics

[Jawaban] The drawing below shows the floor plan of Mrs. Reyes' house. Find the area of the following: 1) Kitchen 2) Dining room 3) Living room 4) Toilet 5) Bedroom 1 6) Bedroom 2 Floor plan dimensions: - Kitchen: 2m x 2m - Dining Area: 3m x 3m - Living Room: 3m x 4m - Toilet: 2m x 3m - Bedroom 2: 3m x 3m - Bedroom 1: 7m x 5m Write your answers below. Use the formula in finding the area. Show your solution.

[Jawaban] (3) One liter of milk is filled in two bottles of equal size. A quarter of the milk in one bottle was used to make tea. How many liters of milk were used for tea? In milliliters? Another type of problem: What is 1/5 of 2/3?

[Jawaban] Consider the inner product space R⁴ with respect to the standard inner product. If the vectors u = (3, 2, k, -5) and v = (1, k, 7, 3) are orthogonal, find the value of k.

[Jawaban] 1. Find the following products: 1.1 (2a - 3)(2a + 3) = 1.2 (ba - 2)(ba + 2) = 1.3 (8a - 1)(8a + 1) = 1.4 (5 - 3p^2)(5 + 3p^2) =

[Jawaban] If [tex]c(x)=4 x-2[/tex] and [tex]d(x)=x^2+5 x[/tex], what is [tex](c \circ d)(x)[/tex]? A. [tex]4 x^3+18 x^2-10 x[/tex] B. [tex]x^2+9 x-2[/tex] C. [tex]16 x^2+4 x-6[/tex] D. [tex]4 x^2+20 x-2[/tex]

[Jawaban] Averaging the differences from the mean. Number of Newspapers Delivered: 19, 14, 19, 21, 17 [tex] \begin{array}{l} |19-18|=1 \\ |14-18|=4 \\ |19-18|=1 \\ |21-18|=3 \\ |17-18|=1 \end{array} [/tex] MAD = [?]

[Jawaban] Which is the graph of the linear inequality [tex]6 x+2 y\ \textgreater \ -10[/tex]?

[Jawaban] You might need: Calculator [tex]$10 \cdot 2^{\frac{3 t}{5}}=1000$[/tex] What is the solution of the equation? Round your answer, if necessary, to the nearest thousandth [tex]$t \approx \square$[/tex]

[Jawaban] Which shows the correct solution of the equation [tex]$\frac{1}{2} a+\frac{2}{3} b=50$[/tex], when [tex]$b=30$[/tex]?[tex]$\begin{array}{r}\frac{1}{2} a+\frac{2}{3}(30)=50 \\ \frac{1}{2} a+20=50\end{array}$[/tex][tex]$\begin{array}{r}\frac{1}{2} a+20-20=50-20 \\ \frac{1}{2} a=30 \\ 2\left(\frac{1}{2} a\right)=\frac{1}{2}(30) \\ a=15\end{array}$[/tex][tex]$\begin{aligned}\frac{1}{2} a+\frac{2}{3}(30) & =50 \\ \frac{1}{2} a+20 & =50\end{aligned}$[/tex][tex]$\frac{1}{2} a+20+20=50+20$\frac{1}{a} a=70$[/tex]

[Jawaban] Write the equation for a parabola that has a vertex $(2,-1)$ and a directrix of $x=5$. The standard form for this parabola is $(y-k)^2=4 p(x-h)$ $(x-h)^2=4 p(y-k)$