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Questions in mathematics

[Done] What is the cost of 18 toy cars? $12 $20 $22 $27

[Done] Write the monomial in standard form: [tex]$0.15 p q \cdot 4 p q^2$[/tex]

[Done] Which function is the inverse of [tex]f(x)=2 x+3[/tex] ? A. [tex]f^{-1}(x)=-\frac{1}{2} x-\frac{3}{2}[/tex] B. [tex]f^{-1}(x)=\frac{1}{2} x-\frac{3}{2}[/tex] C. [tex]f^{-1}(x)=-2 x+3[/tex] D. [tex]f^{-1}(x)=2 x+3[/tex]

[Done] The table below shows the amount of carbohydrates in similar servings of different fruits. Amount of Carbohydrates in Fruit \begin{tabular}{|c|c|} \hline 237 mL of Fruit & Carbohydrates (Grams) \\ \hline Apples & 17 \\ \hline Bananas & 34 \\ \hline Cherries & 19 \\ \hline Grapefruit & 24 \\ \hline Oranges & 21 \\ \hline Peaches & 16 \\ \hline Watermelons & 12 \\ \hline \hline \end{tabular} If this data was placed in a bar graph, which statement would describe the graph? A. The graph would have only four bars shorter than the bar for grapefruits. B. The graph would have five bars taller than the bar for apples. C. The graph would have grapefruits and oranges as the tallest bars.

[Done] Select the correct answer. The equation $(x-1)^2+(y+1)^2=r^2$ represents circle $J$. The point $D(0,3)$ lies on the circle. What is $r$, the length of the radius of circle $J$ ? A. 17 B. 5 C. $\sqrt{17}$ D. $\sqrt{5}$

[Done] There are four steps for converting the equation $x^2+y^2+12 x+2 y-1=0$ into standard form by completing the square. Complete the last step. 1. Group the $x$ terms together and the $y$ terms together, and move the constant term to the other side of the equation. $x^2+12 x+y^2+2 y=1$ 2. Determine $(b/2)^2$ for the $x$ and $y$ terms. $(12/2)^2=36 \text { and }(2/2)^2=1$ 3. Add the values to both sides of the equation. $x^2+12 x+36+y^2+2 y+1=1+36+1$ 4. Write each trinomial as a binomial squared, and simplify the right side. $(x+\square)^2+(y+\square)^2=\square

[Done] Solve the system of equations by graphing. [tex]\left\{\begin{array}{l} x+y=9 \\ x-y=3 \end{array}\right.[/tex] Use the graphing tool to graph the system.

[Done] The start of an arithmetic sequence is \[16, \quad 19, \quad 22, \quad 25, \quad \ldots\] The rule for the sequence can be written in the form \[x_n=c n+d\], where \[c\] and \[d\] are numbers. a) By first calculating the values of \[c\] and \[d\], work out the rule for the sequence. b) What is the value of \[x_{11}\]?

[Done] A patient ingests 5 grams of a certain drug which dissolves away at a constant rate of 10% per hour. How long will it take before there is only one gram left? a.) 15.9 hours b.) 15.3 hours

[Done] A bridge has a length of $1,000 ft.$, a width of 300 ft., and a height of 50 ft. The bridge has four lanes of equivalent width that are each 75 ft. wide. If the road commission wants to increase the number of lanes to six lanes, what is the new width of the bridge? A. 450 ft. B. 500 ft. C. 400 ft. D. 350 ft.