Week 1 : 1 customer tells 3 friends
Week 2: 3 new customers tell 9 friends
Week 3: 9 new customers tell 27 friends
If w represents number of weeks, then (C) represents the model appropriately. Let's see how:
Putting w = 1 , 2 and 3 in each of the options
(A) 3w: 3 for week 1, 6 for week 2, 9 for week 3 ⇒ INCORRECT
(B) w^3: 1 for week 1, 8 for week 2, 27 for week 3 ⇒ INCORRECT
(C) 3^w: 3 for week 1, 9 for week 2, 27 for week 3 ⇒ CORRECT
(D) 3w^3: 3 for week 1, 24 for week 2, 81 for week 3 ⇒ INCORRECT
Hence, the answer is (C)
The function is:
B ( t ) = 4 * e^(0.8 t)
4 * e^(0.8 t) = 400
e^(0.8 t) = 400: 4
e^(0.8 t) = 100 / ln
ln e^(0.8 t) = ln 100 ( and since: ln e = 1 and ln e^x = x * ln e )
0.8 t = 4.6
t = 4.6 : 0.8 = 5.76 ≈ 6
Answer:
D ) 6 hours.
The domain would be (4, infinity) so most likely your answer would be D.
Answer: The first table represents a function!
Step-by-step explanation:
Hope this helps!
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The value of the expression is 0.0265. Using exponents and power rules, the required value is calculated.
<h3>What are the exponent and power rules?</h3>
The important exponent and power rules are:
- a⁻ⁿ = 1/aⁿ; negative exponent
- (ab)ⁿ = aⁿ × bⁿ; power of a product rule
- aⁿ × aˣ = aⁿ⁺ˣ; multiplication rule
- aⁿ/aˣ = aⁿ⁻ˣ; division rule
; fractional exponent
<h3>Calculation:</h3>
The given expression is 
Using calculator:
= 0.0265
Applying the exponent rule for evaluating the given expression:

Applying the negative power rule;
I.e., a⁻ⁿ = 1/aⁿ
⇒ 
Applying fractional exponent rule;
I.e., ![a^{\frac{x}{y} } = \sqrt[y]{a^x}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bx%7D%7By%7D%20%7D%20%3D%20%5Csqrt%5By%5D%7Ba%5Ex%7D)
⇒ ![\frac{1}{126^{3/4}}=\frac{1}{\sqrt[4]{126^3} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B126%5E%7B3%2F4%7D%7D%3D%5Cfrac%7B1%7D%7B%5Csqrt%5B4%5D%7B126%5E3%7D%20%7D)
⇒ 1/![\sqrt[4]{2000376}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B2000376%7D)
⇒ 1/37.6077
⇒ 0.0265
Therefore, the value of the given expression is 0.0265.
Learn more about exponent rules here:
brainly.com/question/11975096
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