Answer:
Step-by-step explanation:
272.155 kg
<span>First of all, there should be coherence for the units of measurement -- either they are all meters or they are all ft. I would assume they are all ft.
The correct answer is 75 ft above. T
The explanation is the following: suppose the ground level is the x-axis, the 2 feet of the arch lie respectively on (0,0) and (100,0) on the ground level. Since the arch is 100ft high, the vertex of the parabola will be the point (100,100). Thus, we can find the equation describing the parabola by putting the three points we know in a system and we find that the equation of the parabola is y=(-1/100)x^2+2
To find the focus F, we apply the formula for the focus of a vertical axis parabola, i.e. F(-b/2a;(1-b^2+4ac)/4a).
By substituting a=-1/100, b=2 and c=0 into the formula, we find that the coordinates of the focus F are (100,75).
So we conclude that the focus lies 75ft above ground.</span>
Answer:
$ 65.59 more per week
Step-by-step explanation:
Assuming she worked <u>52</u> weeks a year as a clerk :
30534 - <u> 52</u> * 521.6 = $ 3410.80 more per year
now each WEEK that is 3410.80 / 52 = 65.59
Answer:
independent quantitative.
Step-by-step explanation:
An indepentent variable in an investigation, is the variable that will be changed in order to know how its variation affects the dependent variable.
In this case, the dependent variable is the test scores since Dr Washington will study there is the numeber of hours of study affects the grade the students obtain.
Therefore, the hours of study are the independent variable.
It is also a quantitative variable since it can be counted.
