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Answers by Grigori S.

This statement is a simply consequence from the definition of adjacent angles. They have common side.    If angles x and y are adjacent and x=y then, because x+y = 2x= 1800, then x = 180/2 = 900.

The binding energy of an atom refers to the binding energy of its nuceleus, which is defined by the Einstein's mass-energy relation                                              ΔE...

If you mean to find the sum of first 10 terms of the series, then you have to use the formula for a geometric series:               Sum (of n first terms) = (qn - 1)/(q-1)               (1)   In your example...

You are, probably, asking about meters per second (m/s).  One mile is equal to 1612 meters (some resources use 1610 oe 1609 meters).  Also we have to change 1hour (1h) to seconds. 1h = 3600 s.   Thus, we have       70 mi/3h = 70x1612 m/(3x...

The degree of your resultant polynomial (no matter they are added or subtracted) is 7. When you are performing your operations with polynomials of different degrees you are combining only like terms (terms with the same degree). The degree of your resultant polynomial is the same like of the polynomial...

Let's rewrite your expression:                          2t+4/(12 -3t^2) = 2(t+2)/3(4 - t^2) = 2(t+2)/3(2-t)(2+t) = 2/3(2-t).   Thus, when t approaches -2 your limit will be 2/12 = 1/6.

Another way to solve the problem. Your function has the first coefficient with negative sign, which means it may only maximum. The time the ball reaches the ground is double of the time needed to reach to its maximum position. To find that time just calculate derivative of your function and...

Unit rate for the bathroom faucet - 8/12 ounces/min = 0.75 oz/min = 3/4 oz/min Unit rate for the kitchen faucet - 6/10 = 3/5 oz/min - two rates show different coefficients of proportionality between amounts of water leaked and time.   Unit rate or both faucets = (3/4) + (3/5)...

To calculate then uncertainty of the equivalent capacitor Ceq you have to differentiate the expression for the capacitor shown by Richard, and replace the symbol of differential by Δ symbol (means uncertainty or error of measurement). Let           ...