Rom

click on the "draw graph" button on the calculator.

it should be pretty self explanatory from there.

what is quartile 1 of these numbers: 4,8,8,3,6,4,4,3,6,7,6

first you sort them

3,3,4,4,4,6,6,6,7,8,8

then find the median which would be 6

then look at the sequence less than the median

3,3,4,4,4

and find it's median which would be 4.

and so 4 is the lower quartile or quartile 1

IF i had 1 penny then kept doubling the ammount for a month how much money would I have: EG: 1x2=4 x 2= 8x2 = 16 

\(\mbox{You start with 1 penny.}\\ \mbox{After 1 day you have 2 pennies. After 2 days 4, 3 days 8, etc.}\\ \mbox{After }n \mbox{ days you have }2^{n} \mbox{pennies.}\) 

\(\mbox{If a month has 30 days, then you will have }2^{30} \mbox{pennies.}\\ \mbox{This is }\$10,737,418.24\)

What is 3.47 rounded to the nearest tenth? HELP ME PLZ THX

we know it will be either 3.4 or 3.5 depending on the next digit.

The next digit is 7.  If this digit is greater than or equal to 5 then we round up.  

7 is greater than 5 so we round up to 3.5. 

A tired squirrel (mass of 1 kg) does push-ups by applying a force to elevate its center-of-mass by 5 cm. Estimate the number of push-ups that a tired squirrel must do in order to do a approximately 5.0 Joules of work.

 \(W_{pushup}=F_{pushup} d \\ F_{pushup} = m g = (1kg)(9.8m/s^2) = 9.8N\\ W_{pushup}=(9.8N)(0.05m) = 0.49Joules\)

\(\dfrac {5}{0.49} \approx 10.2 \\ \mbox{So }10 \mbox{ pushups is about }5 \mbox{ Joules of work.}\)

At Quark Computer sales, the salesperson earns $400 plus one sixth of the sales. What amount must you sell to earn $2,000?

\($2000 = $400 + \dfrac {$sales}{6} \\ $1600=\dfrac {$sales}{6} \\ $sales = 6 \times $1600 = $9600\) 

Alex is 2 years younger than Bindoy. Four years ago, 1/4 the age of Bindoy was a third of Alex's age. How old is each boy?

\(a = b-2 \\ \dfrac 1 4 (b-4)=\dfrac 1 3 (a-4)\)

\(\dfrac 1 4(b-4)=\dfrac 1 3 (a-4) = \dfrac 1 3 (b-2 - 4)\\ \dfrac b 4 - 1 = \dfrac b 3 - 2 \\ 1 = \dfrac b {12} \\ b=12 \\ a=10\)

Bindoy is 12 yrs old.  Alex is 10 yrs old.

let v be a vector from initial point p1 = ( -11, -12 ) to terminal point p2 = ( 2,5 ). write v in terms fo i and j.

\(\mbox{If we have to points }p_1, p_2 \mbox{ the vector from }p_1 \to p_2 \mbox{ is:}\\ v= p_2 - p_1 = (p_{2x}-p_{1x})\hat{i} + (p_{2y}-p_{1y})\hat{j}\)

 \(v = (2-(-11))\hat{i}+(5-(-12))\hat{j} = 13 \hat{i} + 17 \hat{j}\)

Patty has an icing recipe that makes 24 cupcakes and the ratio of cups of sugar to sticks of butter is 3:1. If she has to make 60 cupcakes, how much of each ingredient will she need?

 \(\dfrac {60}{24}=\dfrac 5 2 \\ \dfrac 5 2 \times 3 = \dfrac {15}{2} \mbox{ cups of sugar.} \\ \dfrac 5 2 \times 1 = \dfrac 5 2 \mbox{ sticks of butter.}\)

Write the rational expression in lowest terms.

 

3n^2-3n/4n-4

\(\mbox{Assuming } n\neq 1 \\ \dfrac{3n^2-3n}{4n-4} = \dfrac{3n(n-1)}{4(n-1)}=\dfrac {3n}{4}\)