Answer:
9.7cm
Step-by-step explanation
According to the sine rule;
a/sinA = c/sinC
8/sin55 = c/sin82
Cross multiply
csin55 = 8sin82
c(0.8192) = 8(0.9903)
c = 8(0.9903)/0.8192
c = 7.9221/0.8192
c = 9.67
Hence the value of c to the nearest tenth is 9.7cm
Madison created two functions.For Function A, the value of y is two less than four times the value of x.
The table below represents Function B.
-3,-9
-1,5
1,-1
3,3
In comparing the rates of change, which statement about Function A and Function B is true?
A.
Function A and Function B have the same rate of change.
B.
Function A has a greater rate of change than Function B has.
C.
Function A and Function B both have negative rates of change.
D.
Function A has a negative rate of change and Function B has a positive rate of change.
C is correct
Answer:
option-B
Step-by-step explanation:
We are given
At the start of the year, 15 chameleons were introduced into a zoo
so, 
The population of chameleons is expected to grow at a rate of 41.42% every year
so, r=0.4142
and x represents the number of years since the chameleons were introduced into the zoo
now, we can set equation to find total population
and we get

now, we can plug values


Average rate of change between 2 years and 4 years:
we can use formula

now, we can plug values


Average rate of change between 4 years and 6 years:
we can use formula

now, we can plug values


Average rate of change between 6 years and 8 years:
we can use formula

now, we can plug values


now, we will check each options
option-A:
we can see that


So, this is FALSE
option-B:

So, this is TRUE
option-C:
This is FALSE
option-D:
we got

so, this is FALSE
Answer:
B. 108 calories
Step-by-step explanation:
The mean number of a data set is

Corn chips: 230 calories
Popcorn: 25 calories
Potato chips: 115 calories
Pretzels: 62 calories
Thus,
The sum of all calories 
The number of productrs = 4
The mean number of calories 
A function's inverse will itself be a function if the original function is one-to-one. Meaning it passes the horizontal line test.