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.
Answer:
The correct response is: b)
Step-by-step explanation:
a4b=24, where a × 4 × b = 24 implies a × b = 6
The pairs of numbers with a product of 6 include: {1,6} and {2,3}
In base 10, a4b translates to 100a + 40 + b
Calculating gives us:
100×1+40+6=146
100×6+40+1=641
100×2+40+3=243
100×3+40+2=342
Summing these results yields: 146 + 641 + 243 + 342 = 1372
The correct answer is: b)
The answer is C since 24-3=21, followed by 21/1.50=14
Answer:
7040
Step-by-step explanation:
C= 2000
B = 20/100 x 2000 = 400 + 2000 = 2400
A= 10/100 x 2400 = 240+2400= 2640
2000 + 2400 + 2640 = 7040
a) The hypothesis states that the mean is different from 0.5025 and has been rejected. b) The p-value computed is 0. c) A confidence interval is established as 0.50456 < u < 0.50464. The hypothesis testing is based on a given standard deviation (s.d.) of 0.0001, a sample mean of x = 0.5046 from a sample size of n = 25. The two-sided alternative and significance level of 0.05 were assumed. A Z-score was calculated to show that the hypothesis is rejected since the mean differs from 0.5025.
