Answer:
The required factored form of the given expression is
(x^4 y^6+1)(x^8 y^12-x^4 y^6+1) as the factored form.
Answer: It takes Him 1/4 hours to decorate both signs,
Step-by-step explanation:
Hi, since the area of a rectangle is equal to:
Area: length x width
Replacing with the values given;
Sign 1 =A1 = 2/3 x 1/4 =1/6 ft2
Sign 2 =A2= 1/2 x 1/3 = 1/6 ft2
If we sum both areas:
A1 +A2 = 1/6 + 1/6 = 2/6 ft2 = 1/3 ft2 (total area)
Since it takes Roberto 3/4 hour to decorate a 1-square-foot sign:
For 1/3 ft2
3/4 hour x 1/3 ft2 = 1/4 h
ITt takes Him 1/4 hours to decorate both signs,
Answer:
Independent events
Step-by-step explanation:
Given that:
Ramiro draws a marble from a jar without replacement and then flips a coin
Let 
be the event that Ramiro draws a marble without replacement and;
Let 
be the event of flipping a coin.
Let's have an analogy so that we can better understand the concept of independent and dependent events.
Consider a random experiment in which a marble is drawn from a jar without replacement and a fair coin is flipped together.
The event does not in any way affect the event of a head or a tail showing up in a flip of a coin.
Therefore, we say that and are independent events.
Suppose the event affects or influence the event , then we can say they are dependent events.
Answer:
The volume of the prism is 576 cubic feet
Step-by-step explanation:
Length of rectangular prism = 8 feet
Width of rectangular prism = 6 feet
Height of rectangular prism = 12 feet
Volume of rectangular prism = 
Volume of rectangular prism =
Volume of rectangular prism =
Hence the volume of the prism is 576 cubic feet
A^2+b^2=c^2
20^2+b^2=29^2
400+b^2=841
-400. -400
b^2=√441
b=21
