Answer:
Slant height (s)= 12.1 cm
Step-by-step explanation:
Given: Base= 4.5 cm.
Surface area of right square pyramid= 129.5 cm.
First, calculating slant height (s) of right square pyramid.
Surface area of square pyramid= 
a= side of square base.
s= slant height
∴ 
⇒ 
⇒ 
Now, opening the parenthesis and subtracting both side by 20.25.
⇒ 
cross multiplying both side
∴ Slant height (s)= 12.1
Answer:
Please check explanations
Step-by-step explanation:
Here, we want to make an interpretation
From the question, we have that initially when the count was started, there were 5,428 people; this means that the initial value of the data is 5,428
For the rate of change, we have that there is an average increase of 142 people for each of 5 years;
That means per 5 years, there is an increase of 142 people and this is what represents the rate of change
Y=1/x is a reciprocal function & its shape is a special hyperbola with one branch located in the 1st Quadrant and the second in the 3dr Quadrant and both are symmetric about the origin O.
If a> 1 → y=a/x and the 2 branches are equally stretched upward & downward
about the center O.
If 0 < a < 1→y =a/x, the 2 branches are equally stretched downward and upward about the center O.
If a<0, then the 2 legs are in the 2nd and 4th Quadrant respectively
Answer:
((I do not have the answers for one, two, or four))
3.)
•What do you know?
-It’s about 425 miles from San Jose to Los Angeles and 320 miles from San Jose to Santa Barbara.
•What do you want to find out?
-How many miles it is from Santa Barbara to Los Angeles.
•What kind of answer do you expect?
-If using variable, I expect that I will get the number of miles from one city to the other.
5.)
425 = 320 + X
6.)
425 = 320 + X
Subtract 320 from both sides.
7.)
X = 105
From Santa Barbra to Los Angeles it is 105 miles.
8.)
320 + 105 = 425
Answer:
a. The critcal points are at
b. Then, 
is a maximum and 
is a minimum
c. The absolute minimum is at 
and the absolute maximum is at 
Step-by-step explanation:
(a)
Remember that you need to find the points where
Therefore you have to solve this equation.
From that equation you can factor out 
and you would get
And from that you would have 
, so 
.
And you would also have 
.
You can factor that equation as 
Therefore 
.
So the critcal points are at
b.
Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since
Then, is a maximum and is a minimum
c.
The absolute minimum is at and the absolute maximum is at
