<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>
In this question, you already download 0.5 GB of the total 2.2GB data you need which mean you only need to download 1.7GB left. If the speed of download is 0.01 GB per minute, then the time needed would be:
(2.2GB- 1.7GB) / (00.1GB/minute)= 1.5GB/ (0.01GB/minute)= 150 minute = 2.5 hours
Two hours would not be sufficient to download the data as you need 2.5 hours
Complete question;
A booster club paid for pizzas for an end of season party. They paid $13 for each pepperoni pizza and $11 for each plain pizza. The club bought a
total of 18 pizzas for the party and paid a total of $212.
Drag and drop the numbers to the boxes to create an equation which models this situation if x = the number of pepperoni pizzas and y = the number of plain pizzas bought.
Answer:
13x + 11y = 212
Step-by-step explanation:
They bought 2 different recipe of pizza. The first is the pepperoni pizza and the second kind is the plain pizza. The pepperoni pizza cost $13 each while the plain Pizza cost $11 each. The total number of pizza bought is 18 in number.
The total cost of the pizza is also $212.
number of pizza bought = 18
total cost of pizza = $212
x = the number of pepperoni pizzas
y = the number of plain pizzas
The number of pepperoni pizzas multiply by the cost for each will give the cost of the pepperoni pizzas. This same method is applied to get the cost of the plain pizzas.
Therefore, adding the individual cost of the kinds of pizza will give the total cost of the pizzas.
13x + 11y = 212
Answer:
The marginal-cost function is;
c'(x)= (20x-1)/(2√(400 + 10x² - x))
Completed question;
The cost of producing x bags of dog food is given by C(x) = 800 + √(400 + 10x² - x) where 0≤x≤55000. Find the marginal-cost function.
The marginal-cost function is c'(x)=
(Use integers or fractions for any numbers in the expression.)
Step-by-step explanation:
The marginal-cost function is c'(x)= = dC(x)/dx
Where;
C(x) = 800 + √(400 + 10x² - x)
c'(x) = d(800 + √(400 + 10x² - x) )/dx
Using function of function rule of differentiation or chain rule;
c'(x) = (20x-1)×(1/2√(400 + 10x² - x))
c'(x) = (20x-1)/(2√(400 + 10x² - x))
The marginal-cost function is;
c'(x)= (20x-1)/(2√(400 + 10x² - x))
<em>Hello!</em>
<em>The expanded form is:</em>
<em>600,000 + 80,000 + 700 + 5</em>
<em>Toodles~</em>
