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Questions in mathematics

[Done] What is the exponential form of the following expression? [tex]$(-5)(-5)(-5) \cdot c \cdot c \cdot c$[/tex] A. [tex]$(-5) \cdot c^3$[/tex] B. [tex]$(-5)^3 \cdot 3 c$[/tex] C. [tex]$(-5)^3 \cdot c^3$[/tex] D. [tex]$(-5) \cdot c^6$[/tex]

[Done] Which polynomial represents the sum below? $\begin{array}{r} 3 x^2+7 x+3 \\ +\quad 5 x^2+12 x \\ \hline \end{array}$ A. $15 x^2+19 x+3$ B. $8 x^2+84 x+3$ C. $15 x^2+84 x+3$ D. $8 x^2+19 x+3$

[Done] What is the product of the polynomials below? $\left(5 x^2+5 x+7\right)(8 x+6)$ A. $40 x^3+60 x^2+86 x+42$ B. $40 x^3+10 x^2+86 x-42$ C. $40 x^3+70 x^2+86 x+42$ D. $48 x^3+70 x^2+86 x+42$

[Done] Simplify the expressions. [tex] \begin{array}{l} i^{37}=\\ i^{52}= \end{array} [/tex]

[Done] What is the solution to the inequality $5.25-b \geq 6.5$?

[Done] Select the correct answer. Circle $C$ has a center at $(-2,10)$ and contains the point $P(10,5)$. Which equation represents circle $C$ ? A. $(x-2)^2+(y+10)^2=13$ B. $(x-2)^2+(y+10)^2=169$ C. $(x+2)^2+(y-10)^2=13$ D. $(x+2)^2+(y-10)^2=169

[Done] If $f(x)=2 x-1$ and $g(x)=x^2-3 x-2$, find $(f+g)(x)$ A. $(f+g)(x)=x-3$ B. $(f+g)(x)=x^2+5 x+3$ C. $(f+g)(x)=-x-3$ D. $(f+g)(x)=x^2-x-3$

[Done] 13. Find the domain of [tex]f(x)=\sqrt{4-x^2}[/tex]. A. [tex](-2,2)[/tex] B. [tex](-2,2)[/tex] C. [tex](-2,2)[/tex] D. [tex](-2,2)[/tex]. 14. Find the domain of [tex]f(x)=\frac{5}{x^2-9}[/tex]. A. [tex]R \{9\}[/tex] B. [tex]R \{-3,3\}[/tex] C. [tex]R \{3\}[/tex] D. [tex]R \{-9\}[/tex] 15. The domain of [tex]f(x)=x^2 \ln x[/tex] is A. [tex](-\infty, x)[/tex] B. [tex](1, \infty)[/tex] C. [tex](0,1)[/tex] D. [tex](0, x)[/tex]. 16. Find the domain of [tex]\sqrt{4-7 t}[/tex]. A. [tex][0, \infty)[/tex] B. [tex]\frac{7}{1}[/tex] C. [tex](-\infty, \frac{7}{1}][/tex] D. [tex][\frac{7}{1}, \infty)[/tex]. 17. Let [tex]f: R \rightarrow R[/tex] be defined by [tex]f(x)=\frac{5}{E^2-1}[/tex]. Find the domain of [tex]f[/tex]. A. [tex]R \{4\}[/tex] B. [tex]R \{2\}[/tex] C. [tex]R \{-4\}[/tex] D. [tex]R \{-2,2\}[/tex]. 18. Find the inverse [tex]g^{-1}(x)[/tex] of [tex]g(x)=\sqrt{x-3}[/tex] A. [tex](x-3)^2[/tex] B. [tex]x^2+3[/tex] C. [tex]x^2-3[/tex]

[Done] 1. What is the mode of 250, 255, 395, and 400 set of data? 2. Given the set of data 280, 240, 240, 290, 260, 220, and 290, what is the mode? Identify the type of mode. 3. The data below are the Body Mass Indexes of 10 learners: 19.1, 19.6, 20.4, 29.1, 19.6, 25.4, 21.5, 22.8, 23.5, and 19.6. Determine the mode and its type. 4. The heights (in cm) of the 10 runners are 160, 140, 139, 150, 153, 145, 139, 150, 166 and 160. What is the mode and its type? 5. The data sets 23, 33, 35, 36, 35, 89, 35, 93, and 77 are said to have a mode of 35. Do you agree or disagree with this statement? Justify your answer.

[Done] 5.2.1 At the store, there are five available brands. Unfortunately, Unathi forgets the name of the specific brand. If she randomly selects one of the available brands, determine the probability that she will select the specific brand. 5.2.2 There is a 0.75 probability that dampness will appear if the incorrect brand of ready-mix plaster is used. Determine the probability that the dampness will NOT appear if the incorrect ready-mix plaster is used. 5.2.3 The probability scale below shows the likelihoods for various probabilities. not possible less likely equally likely more likely certain 0% 100% Write down the likelihood that best describes your answer given to QUESTION 5.2.2.