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Questions in mathematics

📝 Answered - Complete the table to investigate dilations of exponential functions. | x | 2^x | 3 \cdot 2^x | 2^{3x} | | --- | ---- | ----------- | ------ | | -2 | 1/4 | 3/4 | 1/64 | | -1 | 1/2 | 3/2 | 1/8 | | 0 | a | b | c | | 1 | d | e | f | | 2 | 4 | 12 | 64 | a = ? b = ? c = ? d = ? e = ?

📝 Answered - Solve each trig equation below for [tex]$0 \leq x\ \textless \ \pi$[/tex]. [tex]$\tan x=\tan x \sin ^2 x$[/tex]

📝 Answered - Is this equation an identity? [tex] -7(4 y-19)=-15 y-10 [/tex]

📝 Answered - Which of the following is involved in an informal argument for the formula for the circumference of a circle? A. Diameter B. Perimeter C. Chord D. Area

📝 Answered - Translate the given statement into an algebraic inequality or compound inequality: The tablet on a bottle of medicine states that the temperature, [tex]$t$[/tex], of the contents must be kept between [tex]$68^{\circ}$[/tex] and [tex]$77^{\circ}$[/tex] Fahrenheit. a. [tex]$68>t>77$[/tex] b. [tex]$68<t<77$[/tex] c. [tex]$68 \geq t<77$[/tex] d. [tex]$68 \leq t \leq 77$[/tex] Please select the best answer from the choices provided

📝 Answered - Sarah drove 40 miles per hour. In 3 hours, Sarah drove 120 miles. Which is a valid proportion to represent this description? [tex]\frac{40}{1}=\frac{120}{3}[/tex] [tex]\frac{1}{40}=\frac{120}{3}[/tex] [tex]\frac{40}{3}=\frac{120}{1}[/tex] [tex]\frac{3}{40}=\frac{1}{120}[/tex]

📝 Answered - If 15% of adults in a certain country work from home, what is the probability that fewer than 36 out of a random sample of 300 adults will work from home? (Round your final answer to 4 decimal places.)

📝 Answered - The exchange rate between non-fixed currencies continuously fluctuates. The table below shows the exchange rate of the US dollar to the euro over the course of six days. | Day | $: \epsilon | | -------- | ----------- | | Monday | $1: 0.7102$ | | Tuesday | $1: 0.7544$ | | Wednesday| $1: 0.7053$ | | Thursday | $1: 0.6910$ | | Friday | $1: 0.6869$ | | Saturday | $1: 0.7273$ | Sandy has $829.04 to convert into euros. How many more euros would Sandy have if she made her trade on the day with the most favorable exchange rate than if she made her trade on the day with the least favorable exchange rate? Round all currencies to two decimal places. a. € 33.49 b. € 55.96 c. € 67.04

📝 Answered - Solve: $\sqrt[3]{8 x-2}=4$ To solve this equation, first $\square$ both sides.

📝 Answered - Is $(0,-3)$ a solution to the system of inequalities below: [tex] \begin{array}{l} y\ \textless \ x+5 \ y \geq 2 x-4 \end{array} [/tex] Type yes or type no for your answer.