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Questions in mathematics

📝 Answered - Divide: $45 \longdiv { 285 }$ Which is true about this division problem? Select all that apply. A. 45 goes into 285 evenly. B. 45 does not go into 285 evenly. C. The quotient contains a repeating decimal. D. The quotient contains a terminating decimal. E. The quotient is $6 . \overline{3}$. F. The quotient is 6.3.

📝 Answered - A skate shop rents roller skates as shown in the table below. Roller Skate Rentals | Time | Cost | | ---------------- | ----- | | up to 60 minutes | $5 | | up to 2 hours | $10 | | up to 5 hours | $20 | | daily | $25 | Which graph and function model this situation, where $c$ is the cost, in dollars, of renting skates, and $t$ is the number of hours in a single day that the skates are rented? $c(t)=\left\{\begin{array}{r}5 \text { if } 0

📝 Answered - Q10. If [tex]a+b+c=5[/tex], [tex]ab+bc+ca=12[/tex] and [tex]abc=-1[/tex], find [tex]a^3+b^3+c^3[/tex].

📝 Answered - Ralph spends $15 \frac{1}{3}$ hours per month playing tennis. How many hours does he play tennis in a year? (There are twelve months in a year.)

📝 Answered - In which situation would you most likely factor out -1 from a trinomial? A. When the constant term is negative B. When the coefficient of x is negative C. When the coefficient of x² is negative

📝 Answered - b) [tex]$a^2-10 a+16-6 b-b^2$[/tex]

📝 Answered - The graph of the function y = 2sinx

📝 Answered - The pound (£) is worth 1.20 US dollars ($). You have paid $450 for a flight. How much is this in pounds?

📝 Answered - Let our random experiment involve tossing two coins simultaneously. Observe the faces of the two coins. Let the sample space be given by [tex]S=\{ HH , HT , TH , TT \}[/tex], and use H to represent heads and T to represent tails. What is the probability distribution for [tex]X[/tex], where [tex]X=[/tex] The number of tails observed? | [tex]X[/tex] | 0 | 1 | 2 | |---|---|---|---| | [tex]P(x)[/tex] | [tex]1 / 4[/tex] | [tex]1 / 4[/tex] | [tex]1 / 4[/tex] | | [tex]x[/tex] | 0 | 1 | |---|---|---| | [tex]P(x)[/tex] | [tex]2 / 4[/tex] | [tex]1 / 4[/tex] | | [tex]x[/tex] | 0 | 1 | |---|---|---| | [tex]P(x)[/tex] | [tex]1 / 4[/tex] | [tex]2 / 4[/tex] | | [tex]x[/tex] | 0 | 1 | |---|---|---| | [tex]P(x)[/tex] | [tex]1 / 2[/tex] | [tex]1 / 4[/tex] |

📝 Answered - A spinner has 4 equal-sized sections labeled A, B, C, and D. It is spun and a fair coin is tossed. What is the probability of spinning "C" and flipping "heads"?