Answer:
8 inches because of the triangle formula
Hello from MrBillDoesMath!
Answer: 8a
Discussion
:
Let's study the expression:
2(5a - 4a) + 6a
The boldfaced term simplifies to "a" as 5 = 4 = 1. So the expression becomes
2a + 6a
As 2 + 6 = 8, 2a + 6a = 8a.
Regards, MrB
Answer:
3271
Step-by-step explanation:
In this problem, we have:
is the population of bacteria at the beginning, at time t = 0
After 2 hours, we have a number of bacteria equal to
![p(2)=1200](https://tex.z-dn.net/?f=p%282%29%3D1200)
This means that the growth of the population for every 2 hours is:
![\frac{p(2)}{p_0}=\frac{1200}{1000}=1.2](https://tex.z-dn.net/?f=%5Cfrac%7Bp%282%29%7D%7Bp_0%7D%3D%5Cfrac%7B1200%7D%7B1000%7D%3D1.2)
This means that we can write an expression for the population after n pairs of hours as follows:
![p(n)=p_0 1.2^n](https://tex.z-dn.net/?f=p%28n%29%3Dp_0%201.2%5En)
where
n is the number of "pairs of hours" passed from t = 0
In this problem, we want to find the population of bacteria after 13 hours, which contains a number of pairs of hours equal to:
![n=\frac{13}{2}=6.5](https://tex.z-dn.net/?f=n%3D%5Cfrac%7B13%7D%7B2%7D%3D6.5)
Therefore, substituting 6.5 in the expression, we find the population after 13 hours:
![p_{13}=(1000)1.2^{6.5}=3271](https://tex.z-dn.net/?f=p_%7B13%7D%3D%281000%291.2%5E%7B6.5%7D%3D3271)
Area of parallelogram = base * height
base 1 = 4.2 cm
height 1 = 3.6 cm
∴ Area = 4.2 * 3.6 = 15.12
let the other base 2 = x
∴ the altitude of this base = height 2 = 2.4
∴Area = 2.4 x = 15.12
Solve for x
∴ x = 6.3 cm
∴ The perimeter of parallelogram = 2( base 1 + base 2)
= 2 ( 4.2 + 6.3 ) = 21 cm
Answer:
thank you for give me some time