To find a fraction between two fractions, all we need to do is make the sum of the numerators be the new numerator, and the sum of the denominators be the new denominator.(x) So, for example, a fraction between 7/13 and 6/11 is (7 + 6)/(13+ 11) =13/24.(x)
7/13 = .5384615(x)
6/11 = .545454(x)
13/24 = .541666�
Given that a/b < c/d, why is it true that a/b < (a+c)/(b+d)< c/d?
Answer:
6. Base
Step-by-step explanation:
In Mathematics, a power involves the multiplication of factors repeatedly. Thus, it's simply a multiplication (product) of repeated factors.
The base of a power is the common factor. When working with a power, the base is the number that is the common factor.
<u>For example;</u>
10⁴ = 10 * 10 * 10 * 10
<em>Therefore, the base in the above expression is 10.</em>
Additionally, the exponent is 4 and it represents the number of times the base "10" was used as a factor.
Answer:
Step-by-step explanation:
Given that the number of asthma sufferers in the world was about 84 million in 1990 and 130 million in 2001.
Let N represent the number of asthma sufferers (in millions) worldwide t years after 1990.
a) If linear function let us assume 1990 as base year 0 then 2001 would be year 11
When written as ordered pairs year and asthma sufferers in millions we have
(0,84) and (11,130) lie on the line
Using two point formula equation of line is
Slope = 46/11
b) When exponential we have
![N =84e^{kt}](https://tex.z-dn.net/?f=N%20%3D84e%5E%7Bkt%7D)
Use N(11) = ![84e^{11k}=130\\k=0.0397](https://tex.z-dn.net/?f=84e%5E%7B11k%7D%3D130%5C%5Ck%3D0.0397)
![N =84e^{0.0397t}](https://tex.z-dn.net/?f=N%20%3D84e%5E%7B0.0397t%7D)
c) In 2010, t = 20
Linear y(20) = ![\frac{46*20}{11} +84\\=167.64](https://tex.z-dn.net/?f=%5Cfrac%7B46%2A20%7D%7B11%7D%20%2B84%5C%5C%3D167.64)
When exponential
N(20) = ![84e^{0.0397*20}\\=185.81](https://tex.z-dn.net/?f=84e%5E%7B0.0397%2A20%7D%5C%5C%3D185.81)