Suoming to your instructor
7
A quantity increases at a rate of 34.82% per hour.
(a) Complete the boxes below to write a formula for the amount at hour t, where Q. is the initial amount.
Do not round any values.
1
Q = 2 ( 34.82
(b) Find the doubling time.
Solve analytically and report your exact answer involving natural or common logarithms.
1
69.64
hours (Your answer contains a logarithm.)
© Report an approximate answer of the doubling time accurate to 0.01 hours.
The doubling time is approximately Number hours
Interpretation: The quantity increases by Number % by about every Number hours.

1. are the triangles similar and if so why? what is the value of x? show your work.

Apinhole camera is made out of a light-tight box with a piece of film attached to one side and pinhole on the opposite side. the optimum diameter d(in millimeters) of the pinhole can be modeled by d=1.9[ (5.5 x 10^-4) l) ] ^1/2, where l is the length of the camera box (in millimeters). what is the optimum diameter for a pinhole camera if the camera box has a length of 10 centimeters

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).