*penelope has a birdhouse that is 4.9 feet above the roof of her garage. she has a second birdhouse that is 5.36 feet below the roof of her garage. what is the distance between the birdhouses? * i don't understand how to solve this problem, and i'd very much appreciate it if someone could me out! : )

Step-by-step explanation:

Penelope has a birdhouse that is 4.9 feet above the roof of her garage.

She has a second birdhouse that is 5.36 feet below the roof of her garage.

The distance of first birdhouse from the roof = 4.9 feet

The distance of the second birdhouse from the roof = 5.36 feet

The distance between the birdhouses = 4.9 + 5.36

                                                                = 10.26 feet

Total distance between the birdhouses are 10.26 feet.

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.