Answer:
1. 5xy^3
2. 4/9m^6 n^4
3. 2a^2/c
4. 4x^3m+6/3
Step-by-step explanation:
Answer:
FV= $1,397.1
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $1,250
Interest rate (i)= 2.25% compounded annually
Number of periods (n)= 5 years
<u>To calculate the future value, we need to use the following formula:</u>
FV= PV*(1+i)^n
FV= 1,250*(1.0225^5)
FV= $1,397.1
Answer:
52 ft²
Step-by-step explanation:
When you are calculating the amount of cardboard needed to make a box, you are trying to the the <u>surface area</u>.
The formula for surface area of a rectangular prism is:
SA = 2(lw + hl + wh)
The dimensions for the box are written l X w X h (length times width times height).
We know:
l = 4
w = 3
h = 2
The units for surface area is the unit squared. Feet squared is ft². Be sure the include the units.
Substitute these numbers into the formula. When solving, solve in the BEDMAS order (brackets, exponents, division and multiplication, addition and subtraction).
SA = 2(lw + hl + wh) u²
SA = 2((4*3) + (2*4) + (3*2)) ft² Multiply within each smaller bracket
SA = 2(12 + 8 + 6) ft² Add inside the brackets
SA = 2(26) ft² Multiply
SA = 52 ft² Final answer
Therefore 52 square feet of cardboard will be needed to make the box.
Answer:
The integral 
is 0.
Step-by-step explanation:
A parameterization of curve C can be:
X (t) = cost 0 <= t <= pi
Y (t) = sint 0 <= t <= pi
r (t) = costi + sintj
r '(t) = -sinti + costj
![Fds = [-costsin^3t + sintcos^3t] dt](https://tex.z-dn.net/?f=Fds%20%3D%20%5B-costsin%5E3t%20%2B%20sintcos%5E3t%5D%20dt)
The integral is given by:
![\int _0^{\pi }\left[-costsin^3t + sintcos^3t dt\right]dt](https://tex.z-dn.net/?f=%5Cint%20_0%5E%7B%5Cpi%20%7D%5Cleft%5B-costsin%5E3t%20%2B%20sintcos%5E3t%20dt%5Cright%5Ddt)
