In a survey of 2,500 U. S. adults, 68% responded that they were confident that "smart homes" will be as commonplace as smartphones within 10 years.† Indicate whether the study is an observational study or an experiment. Give a brief explanation for your choice. (Hint: See Examples 1.2 and 1.3.) This is an experiment because the adults were assigned to different experimental groups and then the researchers recorded responses to questions on a survey. This is an observational study because the researchers recorded responses to questions on a survey. No adults were assigned to different experimental groups. This is an experiment because the researchers conducted a survey. Adults were randomly selected for the survey. This is an observational study because the researchers observed how many of the 2,500 adults have smartphones.

If f(x)=2x-6 and g(x)=3x+9, find (f-g)(x)

The figure shows triangle def and line segment bc, which is parallel to ef: triangle def has a point b on side de and point c on side df. the line bc is parallel to the line ef. part a: is triangle def similar to triangle dbc? explain using what you know about triangle similarity. part b: which line segment on triangle dbc corresponds to line segment ef? explain your answer. part c: which angle on triangle dbc corresponds to angle f? explain your answer. asap

At river bank, checking account customers earn 0.75% interest a month on their account balances, pay no service fees for writing checks, and pay a monthly $2.00 financial charge. calculate the income earned in one month on the checking account for a customer with an account balance of $1,000. a. $4.25 b. $5.50 c. $6.75 d. $7.25 checking account earnings at baker’s bank are expressed by the equation: i = -0.09x + 10.2. while the earnings at elite bank are modeled by: i = -0.02x + 7.5. in both cases, x is the number of checks written. at what number of checks will elite bank start generating more checking account income than baker's bank? a. 12 b. 25 c. 39 d. 42 emilio’s checking account had a balance of 728.32 at the beginning of the week. he wrote checks for the following amounts throughout the week: $99.48, $33.50, $18.23, and $72.05. he also deposited his paycheck in the amount of $1,109.90. what is his account balance at the end of the week? a. $1,192.35 b. $1,222.86 c. $1,540.52 d. $1,614.96