Simplify the expression.
Exact Form :
- 53/12
Decimal Form :
- 4.416
Mixed Number Form :
- 4 5/12
Hope this helps !
Have a great day! :)
Answer:
- A) k = 18.75
- B) R(0.8) = 161419
- C) R(0.3) = 275
Step-by-step explanation:
<u>Given expression</u>
A) <u>Given</u>
<u>Solving for k</u>
- 10 = 6*e^(0.04k)
- e^(0.04k) = 10/6
- ln (e^0.04k) = ln (1.6666)
- 0.04k = 0.51
- k = 0.51/0.04
- k = 12.75
B) <u>Given</u>
<u>The value of R(0.8) is:</u>
- R(0.8) =
- 6*e^(0.8*12.75) =
- 6*e^(10.2) =
C) <u>Given</u>
<u>The value of R(0.3) is:</u>
- R(0.3) =
- 6*e^(0.3*12.75) =
- 6*e^(3.825) =
We have an equation for the surface area of a rectangular prism:
A= 2 (w*l+ l*h+ h*w)
Plug l= 16 in, w= 12 in, and h= 5 in into the above equation, we have:
A= 2 (12 in*16 in+ 16 in* 5 in+ 5 in* 12 in)= 664 in^(2).
The final answer is 664 in^(2).
Hope this is helpful~
-12 and -1 are 11 units apart.
-12-(-1) = -11
The absolute value which is just the number of units is 11.
Hope this helps you
Answer:
a) Function
b) Not a function
c) Function
d) Not a function
Step-by-step explanation:
a) Domain = { 7,-6,2}
Range = {5,0,3}
It is a function as every value in domain has some and unique value mapped to it in Range
b)
Domain = { 7,-6,2}
Range = {5,0,-2,3}
It is not a function as -6 value in domain has two values mapped to it in Range
c)
Domain = { 7,2}
Range = {-6,-7}
It is a function as every value in domain has some and unique value mapped to it in Range
d)
Domain = { 7,-6}
Range = {5,0,3}
It is not a function as 7 value in domain has two values 3 and 5 mapped to it in Range
