
Carry out the binomial expansion in the numerator:

Then the 9⁴ terms cancel each other, so in the limit we have

Since <em>h</em> is approaching 0, that means <em>h</em> ≠ 0, so we can cancel the common factor of <em>h</em> in both numerator and denominator:

Then when <em>h</em> converges to 0, each remaining term containing <em>h</em> goes to 0, leaving you with

or choice C.
Alternatively, you can recognize the given limit as the derivative of <em>f(x)</em> at <em>x</em> = 9:

We have <em>f(x)</em> = <em>x</em> ⁴, so <em>f '(x)</em> = 4<em>x</em> ³, and evaluating this at <em>x</em> = 9 gives the same result, 2916.
Answer:
D
Step-by-step explanation:
I'm not really 100% sure this is a weird question but I would assume D because if something is not proportional or doesn't conform to an equation, it has no slope
The first thing you should know for this case is how many years there are from 1997 to 2014.
The number of years is:
x = 2014-1997 = 17
Then, you must replace this value in the given equation:
y = 1.28e ^ 1.31x
y = 1.28 * e ^ (1.31 * (17))
y = 6011018736
answer:
the number of camera phones shipped in millions in 2014 is
y = 6011018736
Answer:
For a level of 0.0174 or more of nitrogen oxide, the probability of fleet is 0.01.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 0.02 g/mi
Standard Deviation, σ = 0.01 g/mi
Sample size, n = 81
We are given that the distribution of level of nitrogen oxides is a bell shaped distribution that is a normal distribution.
Standard error due to sampling:

Formula:
We have to find the value of x such that the probability is 0.01
P(X > x)
Calculation the value from standard normal z table, we have,
For a level of 0.0174 or more of nitrogen oxide, the probability of fleet is 0.01.
17. 8/10 is equal to .8 not .08
18a. False
18b. True
18c. False
18d. False
18e. True
19. 0.02
20. No, the zero needs to be in the tenths place or else the decimal (.2) would become 2/10.
21. 17/100
22. Words- Ten hundredths
Fraction- 10/100
Decimal- .10