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Questions in mathematics

[Solved] The formula for the sum of an infinite geometric series, [tex]$S=\frac{a_1}{1-r}$[/tex], may be used to convert [tex]$0 . \overline{23}$[/tex] to a fraction. What are the values of [tex]$a_1$[/tex] and [tex]$r$[/tex]? A. [tex]$a_1=\frac{23}{10}, r=\frac{1}{10}$[/tex] B. [tex]$a_1=23, r=\frac{1}{100}$[/tex] C. [tex]$a_1=\frac{23}{100}, r=100$[/tex] D. [tex]$a_1=\frac{23}{100}, r=\frac{1}{100}$[/tex]

[Solved] Which graph matches the equation $y+3=2(x+3)$?

[Solved] The energy usage of a light bulb is a function. The input for the function is _______ measured in hours. The output of the function is energy usage, measured in _______. Identify the functional relationship between the variables. _______ is a function of _______.

[Solved] Which of the following shapes has a circular base? A. cone B. cube C. pyramid D. rectangular prism

[Solved] A student solves the following equation and determines that the solution is -2. Is the student correct? Explain. [tex]$\frac{3}{a+2}-\frac{6 a}{a^2-4}=\frac{1}{a-2}$[/tex]

[Solved] Solve the following quadratic equation. Then show a check for one of its solutions. [tex]A=4 b[/tex] [tex]4 x^2-25 x=0[/tex]

[Solved] Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation [tex]$5 v+7 f=28.70$[/tex], where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent, as needed.)

[Solved] Solve for $x$ and graph the solution on the number line below. $-7 x \leq 7$

[Solved] Solve for $n$. [tex]$\frac{n}{2}+1=-1.9$[/tex]

[Solved] 108 centimeters to meters [tex]$108 cm=$ $\qquad$ m[/tex]