Answer:
Step-by-step explanation:
1.
- a) Intersecting lines,
- It is not a mathematical system unlike the other options
2.
- In mathematics and logic, a theorem is a non-self-evident statement that has been proven to be true, either on the basis of generally accepted statements such as axioms or on the basis of previously established statements such as other theorems. (Wiki definition)
3.
- Angle is defined.
- Line has undefined width and thickness.
- Plane has undefined thickness.
- Point has undefined length, width and thickness.
Answer:
Step-by-step explanation:
From the question we are told that:
Generally the equation if differentiated is mathematically given by
Where
y'=0
Factorizing,We have
Therefore
The critical points are
Her expenses are a fixed expense of $4500 and a weekly expense of $200.
Let's call the unknown number of weeks w.
In w weeks, the weekly expenses will by 200w.
The total expense is
200w + 4500
In a week, when earns $550. In w weeks, she earns 550w.
Set the expenses equal to the earnings and solve for w.
550w = 200w + 4500
Subtract 200w from both sides.
350w = 4500
w = 12.86
It takes her 12.86 weeks to break even.
If she works 13 weeks, she begins to make a profit.
answer
240 standard versions
set up equations
s = number of standard versions
h = number of high quality versions
the total size of all standard versions would be 2.3s since each standard version is 2.3 MB
the total size of all high quality versions would be 4.4h since each standard version is 4.4 MB
add them together to get the total size (2664 MB) of all versions
2664 = 2.3s + 4.4h
since the high quality version was downloaded twice as often as the standard, we can say that
h = 2s
substitute h into equation and solve
2664 = 2.3s + 4.4h
h = 2s
2664 = 2.3s + 4.4(2s)
2664 = 2.3s + 8.8s
2664 = 11.1s
s = 2664/11.1
s = 240
