The "dot product" of two vectors has several different formulas.
Since you are given the x- and y-coordinates of both vectors a and b, we can apply the formula
a dot b = ax*bx + ay*by, where ax=x-component of vector a, by=y comp of vector b, and so on.
So, for the problem at hand, ax * bx + ay * by becomes
3(-2) + (-8)(-6) = -6 + 48 = 42 (answer). Note that the dot product (or "scalar product" is itself a scalar.
Answer:
2.5 gallons of the 20% solution must be replaced by the 36% solution.
Step-by-step explanation:
You apply the rule to put the exponent in front, and lower it by one. But since this is a nested expression, you apply it twice:
4*(5x^3-4)^3 * 3*5x^2 =
60x^2 (5x^3-4)^3
For the options provided, the statement that most accurately describes federalism is number 3. Power is divided between the national government and the states. It is an arrangement of government in which a similar region is controlled by two levels of government. By and large, a general national government oversees issues that influence the whole nation, and littler subdivisions administer issues of nearby concern.
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