Three hundred ten million, seven hundred sixty-three thousand, one hundred thirty-six
Answer:
2,400 foot-pounds
Step-by-step explanation:
Say at any instant x is length of Rope
Work done in lifting rope by dx amount will be:
dw = -(2.5x + 10)dx
w = -(40)∫(2.5x+10)dx
w = (2.5(40)^2) / 2 + 10(40)
w = 2000 + 400
w = 2,400 foot-pounds
First,we need to understand the point-slope form:
Where x and y are the coordinates and m is the slope.
Put the above information into the equation:
y-(-6)=-3/4(x-2)
y+6 = -3/4 (x-2)
Therefore the answer is C.y+6 = -3/4 (x-2).
Hope it helps!
In order to answer the above question, you should know the general rule to solve these questions.
The general rule states that there are 2ⁿ subsets of a set with n number of elements and we can use the logarithmic function to get the required number of bits.
That is:
log₂(2ⁿ) = n number of <span>bits
</span>
a). <span>What is the minimum number of bits required to store each binary string of length 50?
</span>
Answer: In this situation, we have n = 50. Therefore, 2⁵⁰ binary strings of length 50 are there and so it would require:
log₂(2⁵⁰) <span>= 50 bits.
b). </span><span>what is the minimum number of bits required to store each number with 9 base of ten digits?
</span>
Answer: In this situation, we have n = 50. Therefore, 10⁹ numbers with 9 base ten digits are there and so it would require:
log2(109)= 29.89
<span> = 30 bits. (rounded to the nearest whole #)
c). </span><span>what is the minimum number of bits required to store each length 10 fixed-density binary string with 4 ones?
</span>
Answer: There is (10,4) length 10 fixed density binary strings with 4 ones and
so it would require:
log₂(10,4)=log₂(210) = 7.7
= 8 bits. (rounded to the nearest whole #)