Answer:
-39 cm²/h
Step-by-step explanation:
The area of the rectangle is A = hw where h = height and w = width.
So the rate of change of area with respect to time is
dA/dt = d(hw)/dt
dA/dt = hdw/dt + wdh/dt
Given that at an instant h = 3cm, w = 8 cm and dh/dt = + 11 cm/h and dw/dt = -9 cm/h(negative since it is decreasing)
So, dA/dt = hdw/dt + wdh/dt
dA/dt = 3 cm × (+11 cm/h) + 8 cm × (-9 cm/h)
dA/dt = 33 cm²/h - 72 cm²/h
dA/dt = -39 cm²/h
Answer:
A Alternate interior angles of parallel lines are congruent
Step-by-step explanation:
The referenced angles (1, A), (3, C) are alternate interior angles, not corresponding or exterior. The symmetric property does not apply. The only answer choice with any applicability is the one shown above. (It is also the right choice.)
Year 1: $110
Year 2: $121
Year 3: $133.10
Total interest: $33.10
You add another row and the row has to be one taller than the row before it
Answer:
Step-by-step explanation:
Exponential functions are represented in the form 
, where a is the initial value and b is the multiplier.
Here, we see that when x = 0, y = 4. This means that 4 is our initial value, or a. You can look at the a variable almost being like the y-intercept of a graph.
Next, we must solve for b. We can do 16 ÷ 4 to find the slope, or multiplier of this function, because 16 is 1 input x-value up from 0. 16 ÷ 4 = 4.
So, we now have all the needed variables, so we plug them into the formula
