Answer:
The option "StartFraction 1 Over 3 Superscript 8" is correct
That is
is correct answer
Therefore
Step-by-step explanation:
Given expression is ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript negative 3 Baseline times ((2 Superscript negative 3 Baseline) (3 squared)) squared
The given expression can be written as
![[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2](https://tex.z-dn.net/?f=%5B%282%5E%7B-2%7D%29%283%5E4%29%5D%5E%7B-3%7D%5Ctimes%20%5B%282%5E%7B-3%7D%29%283%5E2%29%5D%5E2)
To find the simplified form of the given expression :
![[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2](https://tex.z-dn.net/?f=%5B%282%5E%7B-2%7D%29%283%5E4%29%5D%5E%7B-3%7D%5Ctimes%20%5B%282%5E%7B-3%7D%29%283%5E2%29%5D%5E2)
( using the property
)
( using the property 
( combining the like powers )
( using the property
)

( using the property
)
Therefore
Therefore option "StartFraction 1 Over 3 Superscript 8" is correct
That is
is correct answer
Answer:
3
Step-by-step explanation:
The slope of the line passing through the points is
m = (y2-y1)/(x2-x1)
= ( 1-2)/(8-5)
= -1/3
The slope that is perpendicular is the negative reciprocal which is
- ( 1/(-1/3)
+ 3/1
The perpendicular slope is 3
Answer:
24761 mosquitoes
5.4 days
Step-by-step explanation:
Let the equation that shows the population of the mosquitoes after x days,

Where,
P = Initial population,
r = rate of increasing per day,
Here, A = 1000, when x = 0,

A = 1900 when x = 1,

Thus, the required function that represents the population after x days,

If x = 4,
The number of mosquito after 4 days,

If A = 60,000,


Taking log both sides,


Thus, there will 60,000 mosquitoes after 5 days.
Answer:
+
+
+ 2
Step-by-step explanation:
f(x) =
- 4x + 2
g(x) =
+ 2
To find fg(x) , we have
fg(x) = f(
+ 2 )
The next thing is that , we will substitute
+ 2 for the value of x in f(x) , so we have:
- 4(
+ 2) + 2
which will give
+
+
+ 2
Therefore :
fg(x) =
+
+
+ 2