Answer:
There are four microstates associated with the macrostate
Step-by-step explanation:
Macrostate is the largest possible microstate outcome in an event.
There are four deuces in a standard deck of playing cards, these include;
two heart, two spade, two club and two diamond.
Thus, when a macrostate of four deuces are selected, the microstates are two heart, two spade, two club and two diamond.
The microstates are four.
Therefore, there are four microstates associated with the macrostate.
We don't know the number she started with, so let's call it x.
<span>Petra started with a number added 3: x + 3
</span>
<span>multiplied the result by 4: 4(x + 3)
</span><span>subtracted 6: 4(x + 3) - 6
</span>
<span>and multiplied that result by 3: 3[4(x + 3) - 6]
</span>
her final answer was 90: <span>3[4(x + 3) - 6] = 90
Now we solve the equation for x.
</span><span>3[4(x + 3) - 6] = 90
</span>
<span>4(x + 3) - 6 = 30
4(x + 3) = 36
x + 3 = 9
x = 6
The number is 6.
</span>
Answer:
yes
Step-by-step explanation:
the FIRST derivative of a function tells us the slope of a tangent line to the curve at any point. if is positive, then the curve must be increasing. If is negative, then the curve must be decreasing.
the SECOND derivative gives us the slope of the slope function (in other words how fast the slope of the original function changes, and if it is accelerating up - positive - or if it is avengers down - negative).
so, the first derivative would be fully sufficient to get the answer of if the slope of the function at that point is positive or negative.
but because it is only a "if" condition and not a "if and only if" condition, the statement is still true.
there are enough cases, where the slope is positive, but the second derivative is not > 0 (usually = 0).
but if even the second derivative is positive, then, yes, the slope of the original function must be positive too.
Answer:
586
Step-by-step explanation:
We want to use substitution to solve
-5x + 4y = 22 (1)
x - 3y = 0 (2)
From (2), obtain
x = 3y (3)
Substitute (3) into (1).
-5(3y) + 4y = 22
-15y + 4y = 22
-11y = 22
y = -2
From (3), obtain
x = 3y = 3*(-2) = -6
Answer: e. (-6, -2)
