Response: An "exponential growth" demonstrates a pattern where growth starts slowly and accelerates over time.
"Logarithmic growth" behaves inversely; it initially shows rapid increase, followed by a deceleration.
In this context, we are considering decays: The decays represent the opposite of growths. An "logarithmic decay" begins slowly before speeding up, while an "exponential decay" quickly decreases at first and gradually slows afterward.
Thus, the equation modeling the temperature drop of the hot tea over time is an "exponential decay", described in the form T(x) = T₀
, where T₀ stands for the initial temperature, t is time, and k is a constant.
The answer is rotated. When dilating figures, we either increase or decrease their dimensions. Knowing the scale factor is crucial as it indicates whether the figure enlarges or reduces; a positive scale factor suggests expansion, while a negative one indicates reduction. The center of dilation is where lines connecting the original and dilated shapes intersect. Conversely, to rotate a shape involves turning it around a designated fixed point known as the center of rotation.
Answer:
Option C. 32/3
Step-by-step explanation:
It is understood that
A relationship between two variables, x and y, signifies inverse variation if it can be represented as either 
or 
It is also known that
For p=14, x=16
Determine the value of k
By substituting these values
This shows that
The equation equals
Calculate the value of p when x=21
Substitute the given value of x into the equation
Simplify
Divide both the numerator and denominator by 7
From another answer, "There are various methods to calculate this. One approach is:
With a range of 400 miles on a 15-gallon fuel tank,
400 / 15 results in 26.66666666666667 miles for every gallon (it seems odd, but we'll reach a concise outcome shortly)
Thus, 26.66666666666667 multiplied by 6 gallons equals 160 miles.
<span>Final result: Landon's SUV can go </span>160 miles<span> using 6 gallons."</span><span />
Manny's assertion is flawed; his reasoning lacks adequate support for his claim.
