Answer: 114
Step-by-step explanation: Because 48+18 = 66 and 180-66 is 114.
9514 1404 393
Answer:
50 ft
Step-by-step explanation:
The side lengths in a 30-60-90 triangle have the ratios 1 : √3 : 2. The longest side is 2 times the length of the shortest side.
In this geometry, that means the length of the escalator is 2 times its height, so is ...
x = 2(25 ft)
x = 50 ft . . . . . distance a person travels
Answer:
The most suitable experimental simulation to find the probability of getting the six toys is by rolling the dice and recording the occurrences.
Step-by-step explanation:
As there are a total of 6 different dinosaurs, the probability of each of them is given as
P(X=one dinosaur)=1/6
In order to design an experiment, as the data is completely random and unknown, thus the experiment is designed such that the probability of individual option is 1/6.
In this regard the most suitable option is rolling a dice, numerous times and recording the occurrences accordingly.
A. Every month Population will increase by a factor of 0.84%.
B. Every 3 months Population will increase by a factor of 2.5%.
C. Increase in population in every 20 months is 10% + 6.72% = 16.72%.
<u>Step-by-step explanation:</u>
Here, we have number of employees in a company has been growing exponentially by 10% each year. So , If we have population as x in year 2019 , an increase of 10% in population in 2020 as
which is equivalent to
.
<u>A.</u>
For each month: We have 12 months in a year and so, distributing 10% in 12 months would be like
. ∴ Every month Population will increase by a factor of 0.84%.
<u>B.</u>
In every 3 months: We have , 12 months in a year , in order to check for every 3 months
and Now, Population increase in every 3 months is
. ∴ Every 3 months Population will increase by a factor of 2.5%.
<u>C.</u>
In every 20 months: We have , 12 months in a year in which increase in population is 10% . Left number of moths for which we have to calculate factor of increase in population is 20-12 = 8. For 1 month , there is 0.84% increase in population ∴ For 8 months , 8 × 0.84 = 6.72 %.
So , increase in population in every 20 months is 10% + 6.72% = 16.72%.
Domain is the numbers yo can use
we has a sqrt and a ln
we cant have any neagtive ln's or sqrts
x cannot be negative
it cannot be 0 either
domain is all numbers bigger than 0
deritivive
apply chain rule
dy/dx(f(g(x))=f'(g(x))g'(x)
and also
dy/dx (lnx)=1/x
and
dy/dx(f(x)g(x))=f'(x)g(x)+g'(x)f(x)
and from experience
dy/dx(sqrtx)=1/(2√x)
so
dy/dx(ln(2xsqrt(2+x)))=
(1/(2xsqrt(2+x))(2)(sqrt(2+x)+(x/(2sqrt(2+x))=
(3x+4)/(2x(x+2))
domain is all real numbers greater than 0
derivitive is