Sunday, July 20, marked 45 years since the United States put the first two astronauts safely on the moon. The cost for the Mercury, Gemini and Apollo programs was more than $25 billion at the time more like $110 billion in today’s world. The ensuing U.S. space efforts have cost an additional $196 billion for the shuttle and $50 billion for the space station. NASA’s total inflation-adjusted costs have been more than $900 billion since its creation in 1958 through 2014 (more than $16 billion per year). Looking back, have we gotten our money’s worth from the investment?
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Let us say that x is the cut that we will make on the
sides to make a box, therefore the new dimensions are:
l = 15 – 2x
w = 8 – 2x
It is 2x since we cut on two sides.
We know that volume is:
V = l w x
V = (15 – 2x) (8 – 2x) x
V = 120x – 30x^2 – 16x^2 + 4x^3
V = 120x – 46x^2 + 4x^3
Taking the 1st derivative:
dV/dx = 120 – 92x + 12x^2
Set dV/dx = 0 to get maxima:
120 – 92x + 12x^2 = 0
Divide by 12:
x^2 – (92/12)x + 10 = 0
(x – (92/24))^2 = -10 + (92/24)^2
x - 92/24 = ±2.17
x = 1.66, 6
We cannot have x = 6 because that will make our w
negative, so:
x = 1.66 inches
So the largest volume is:
V = 120x – 46x^2 + 4x^3
V = 120(1.66) – 46(1.66)^2 + 4(1.66)^3
V = 90.74 cubic inches
The sweater has a tendency to attract electrons.
The leather jacket has a lower tendency to attract electrons than the sweater.
Explanation:
The sweater and the leather jackets are made up of distinct fabrics that based on their minutest particles called an atom.
An atom is made up of sub-atomic particles of protons, neutrons and electrons.
- Electrons occupies the bulk volume of the atom and they are easily lost in atoms that are big. They are negatively charged.
- Protons are positively charged and are very difficult to lose. They occupy the tiny nucleus with neutrons.
- A body that becomes negatively charged will be said to have a hihg tendency to attract electrons. Normally atoms are electrically neutral. When additional electrons are added to them, they become negatively charged.
- In this case, the sweater has a high affinity for electrons and it will attract the ones on the leather jacket.
- The leather jacket has a low tendency to attract electrons than the sweater and it will lose some of its electrons to the sweater.
Learn more:
Protons, neutrons and electrons brainly.com/question/2757829
#learnwithBrainly
A.900 watts That would be your correct answer
