I'm assuming that the problem asked, as is suggested in the thread title, to give solve for "x" in exact form. If you entered the decimal you found by using a calculator, the program would not recognize this because you entered an approximation. Whenever you are asked to solve for something...
Whoever told you that it is more difficult to transfer from a California Community College(CCC) into the UC system is wrong. Transfer students who are transferring from a CCC have higher priority than other applicants, and from what I've heard, UC's tend to prefer not to accept students who...
Exactly! The spring will always oppose the applied force, in this case being your pulling / pushing the block.
While it is true that the problem does not explicitly specify the direction of the stretching, it is implied. If this spring is vertical, presumably with one end of the spring fixed...
Consider a spring with one end fixed to a wall and the other end connected to a block. If you were to pull the block in the positive x-direction, in which direction would the spring force act? If you were instead to push the block in the negative x-direction, in which direction would the spring...
If you look back at the initial problem statement, it asks for the minimum angle measured from the horizontal, not the vertical. Technically, the second triangle in your image is the correct diagram. However, by using the cosine you are finding the x-component of the 700N force, which is not...
If you want to check to see if the inverse function you found is correct, all you need to do is form a composite function of the original function and its inverse. If the composite function of g(x) and g-1(x) is equal to x, then the inverse you found is correct...
Exactly. When you multiply the middle fraction of \frac{2}{3} by 3(x-1)(x-3) the three in both expressions cancel each other, making the expression 2(x-1)(x-3).
This simplest way to clear fractions would be to immediately look at the denominators of all the fractions and find the least common denominator(LCD). In this equation, the LCD is simply all three of the denominators multiplied together, giving you 3(x-1)(x-3). Now when you multiply all three...
You could distribute the exponent into the parentheses to both the numerator and denominator of the fraction. For example:
\frac{4^-^1}{3^-^1} = \frac{\frac{1}{4}}{\frac{1}{3}}}
Now multiply the fraction in the numerator by \frac{3}{3} and the fraction in the denominator by \frac{4}{4}
This...