Answer:
35
Step-by-step explanation:
Using proportions, you are correct:
70/x = 100/50
cross multiply
100x = 3500
divide both sides by 100 to get your answer.
Answer:
C
Step-by-step explanation:
Polynomials should consist of only non-negative integer powers of x. Thus B and D are definitely not. It might be possible to simplify A into something that looks like a polynomial, but it’s a bit difficult. If you just need to choose one, then C is definitely a good choice.
My incomplete attempt of factorizing A:
The integral is path-independent if we can find a scalar function <em>f</em> such that grad(<em>f</em> ) = <em>A</em>. This requires
Take the first PDE and integrate both sides with respect to <em>x</em> to get
where <em>g</em> is assumed to be a function of <em>y</em> alone. Differentiating this with respect to <em>x</em> gives
which would mean <em>g</em> is *not* a function of only <em>y</em>, but also <em>x</em>, contradicting our assumption. So the integral is path-dependent.
Parameterize the unit circle (call it <em>C</em>) by the vector function,
with <em>t</em> between 0 and 2π.
Note that this parameterization takes <em>C</em> to have counter-clockwise orientation; if we compute the line integral of <em>A</em> over <em>C</em>, we can multiply the result by -1 to get the value of the integral in the opposite, clockwise direction.
Then
and the (counter-clockwise) integral over <em>C</em> is
and so the integral in the direction we want is -2π.
By the way, that the integral doesn't have a value of 0 is more evidence of the fact that the integral is path-dependent.
A division problem that equals
is
.
Divide by 2 on both the numerator and denominator. The result is
.
The problem uses division and the solution is
.
Answer: 26.8
Step-by-step explanation:
4.5x6.4=28.8m
1.2x0.6=0.72m
1.6x0.8=1.28m
0.72+1.28=2m
28.8-2=26.8