Answer:
See explanation
Step-by-step explanation:
1 step:
- given
2 step:
- Segments Addition Postulate
3 step:
- Substitution Property
4 step:
- Segments Addition Postulate
5 step:
- Substitution Property
6 step:
- given
7 step:
- Substitution Property of Equality
8 step:
- Subtraction Property of Equality
$12•6=$72
$165-$72=$93
$93/$3= 31 cupcakes
Multiply $12 by the 6 cakes sold getting $72
Subtract $72 from the total $165 dollars made getting $93 left
Divide $93 by the $3 each cupcake cost getting 31 cupcakes
ANSWER: 31 cupcakes sold
28 BECAUSE IT CONTINUES THE PATTERN OF SUBTRACTING 4 FROMTHE AMOUNT PULLED PER GRADE
Answer:
c=kr
c=12.56in when r=2in
Step-by-step explanation:
Circumference (c) of a circle varies directly with radius(r)
Equation that relates the circumference and radius is
c=kr
Radius=3in
Circumference=18.84in
18.84=k*3
k=18.84/3
k=6.28
Find circumference when radius=2in
c=kr
c=6.28*2
=12.56in
c=12.56in
Answer:
a
OR 
b
and
OR
and 
c
Generally the carrying capacity is can be defined as the highest amount of population and environment can support for an unlimited duration or time period
d

Step-by-step explanation:
From the question we are told that
The population model is 
Generally at equilibrium

So

=>
Or

=> 
Thus at equilibrium P = 0 or P = 135
Generally when the population is increasing we have that

So

=> 
and
Now when the first value of P i.e
for
So when population increasing the values of P are
and
OR
and 
So to obtain initial values of P where the population converge to the carrying capacity as ![t \to [\infty]](https://tex.z-dn.net/?f=t%20%5Cto%20%5B%5Cinfty%5D)
The rate equation can be represented as

So we will differentiate the equation again we have that

Now as

So
=> 
=> 