Answer:
D.
Step-by-step explanation:
Remember that the limit definition of a derivative at a point is:
![\displaystyle{\frac{d}{dx}[f(a)]= \lim_{x \to a}\frac{f(x)-f(a)}{x-a}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28a%29%5D%3D%20%5Clim_%7Bx%20%5Cto%20a%7D%5Cfrac%7Bf%28x%29-f%28a%29%7D%7Bx-a%7D%7D)
Hence, if we let f(x) be ln(x+1) and a be 1, this will yield:
![\displaystyle{\frac{d}{dx}[f(1)]= \lim_{x \to 1}\frac{\ln(x+1)-\ln(2)}{x-1}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%281%29%5D%3D%20%5Clim_%7Bx%20%5Cto%201%7D%5Cfrac%7B%5Cln%28x%2B1%29-%5Cln%282%29%7D%7Bx-1%7D%7D)
Hence, the limit is equivalent to the derivative of f(x) at x=1, or f’(1).
The answer will thus be D.
To solve this word problem, we will use the Pythagorean Theorem.
Pythagorean Theorem: a^2 + b^2 = c^2
Our side lengths are 10 and 24ft.
So, we can plug them in for a and b.
10^2 + 24^2 = c^2
100 + 576 = 676
Then, we need to find the square root of 676.
sqrt676) = 26
So, the missing length or the hypotenuse is 26 feet.
Therefore, we require 26 feet of string to measure the length of the hypotenuse in which the room is split in half.
Answer:
Mortality rate is 0.5 per 1000 habitant
the number of deaths have increased (from 210 to 250)
Step-by-step explanation:
Hello
Mortality rate is the number of deaths in a specific population,usually expressed in units of deaths per 1,000 individuals per year

where
S=Mortality rate
D=deaths
P= population
n= is a conversion form ,such as multiplying by 10^{3}=1000, to get mortality rate per 1,000 individuals( we will use n=3)
step 1
asign
S=unknown
D=250
P=500000
n=3, (for each 1000 people)
step 2
Replace

Mortality rate is 0.5 per 1000 habitant
step 3
what if S=0.42
S=0.42(assuming it is 0.42 per 1000,n=3)
D=unknown
P=500000

the number of deaths have increased (from 210 to 250)
Have a great day
Answer:
15H = D
Step-by-step explanation:
Given that Louis makes $ 15 per hour working at the mall, to determine which equation represents the total amout of money, D, Louis makes in H hours, the following calculation must be performed:
15H = D
So, for example, if Louis worked 10 hours, the equation would operate as follows:
15 x 10 = D
150 = D