(Enter answer in decimal form.)
B) The domain is all integers from negative 1,200 to positive 2,00.
C) The domain is all integers from 0 to 500.
D) The domain is all real numbers from 0 to 500.
2) A student is running a 3-kilometer race. He runs 1 kilometer every 2 minutes. Select the function that describes his distance from the finish line after x minutes.
A) f(x)= -1/3x+2
B) f(x)= -1/2x+3
C) f(x)= 1/2x+3
D) f(x)= 1/3x+2
3) A coal car on a train weighs 30 tons plus 1 ton per cubic yard of coal x that it carries. The total weight of a coal car is f(x)= x+30. How will the graph of this function change if the coal car weight is changed to 26 tons?
A) The line will shift vertically up by 4 tons.
B) The line will shift vertically up 26 tons.
C) The line will shift vertically down by 4 tons.
D) The line will shift vertically down by 26 tons.
Answer:
length = 10
width = 5
Step-by-step explanation:
So first you divide 8 from 400 which equals 50.
Then so the length and the width has to equal 50 when they are times-ed, and the length is double the width.
So the length is 10
and the width is 5
Given that the volume of a rectangular prism is length x width x height, this problem can be solved by setting up the equation 2w * w * 8 = 400, where w is the width and 2w is the length. Solving this equation, we find that the width is 5 feet and the length is 10 feet.
In mathematics, the volume of a rectangular prism is given by the formula length x width x height. We are given that the volume of the storage container is 400 cubic feet, its height is 8 feet, and the length is twice the width. Let us denote the width as w, then the length is 2w.
From the given volume formula, we have:
Length x Width x Height = Volume
Substituting the values, we get:
2w * w * 8 = 400
Solving this equation, we find:
w^2 = 25
Taking the square root of both sides, we get:
w = 5
Substituting w=5 into 2w, we find the length:
Length = 2*5 = 10
So the width of the container is 5 feet and the length is 10 feet.