Question

this question asks for a number or a calculation. you can enter whole numbers, negative numbers, or decimal numbers. if you enter a decimal value, be sure to give at least 3 decimal places. alternatively, you can enter mathematical expressions. there are two ways to enter these types of answers: 1. enter using calculator - style notation (see below) 2. after clicking in the answer box, click the yellow arrow that shows to the right of it to use the equation editor watch a demo + examples of calculator - style entry: | enter | to get | | --- | --- | | sqrt(4) | $sqrt{4}=2$ | | 2/(5 - 3) | $\frac{2}{5 - 3}=1$ | | 3^2 | $3^2 = 9$ | | log(100) | $log(100)=2$ | note that for functions like log and sqrt, you must use parentheses. \log(100)\ is good, but \log100\ and \log 100\ will not work. try it here. use the preview button to see how the computer is interpreting what you typed. also, after you click in one of the answer spaces, try clicking the yellow arrow to the right of the answer box to view the equation entry helper. enter $\frac{sqrt{5}}{2}$: enter $\frac{7}{3}$: enter $\frac{1}{2^3 - 5}$: enter $log(4)$:

Explanation:

Step1: Calculate $\frac{\sqrt{5}}{2}$

$\frac{\sqrt{5}}{2} \approx \frac{2.23607}{2} = 1.118035$

Step2: Calculate $\frac{7}{3}$

$\frac{7}{3} \approx 2.33333$

Step3: Calculate $\frac{1}{2^3 - 5}$

First compute denominator: $2^3 - 5 = 8 - 5 = 3$, then $\frac{1}{3} \approx 0.33333$

Step4: Calculate $\log(4)$ (base 10)

$\log_{10}(4) \approx 0.60206$

Answer:

1. $1.118$
2. $2.333$
3. $0.333$
4. $0.602$