Answer:
Step-by-step explanation:
1. Relation - a set of ordered pairs
2. Vertical line test - a test used to determine if a graph is a function; states that a vertical line can only go through one point on the graph to be a function
3. Function - a relation in which for any given input value, there is only one output value
4. Output - value generated by a function when an input value is substituted into the function and evaluated
5. Ordered pair - a group of two numbers written in the form (x, y) where the x value represents a horizontal position and the y value represents a vertical position
6. Mapping Diagram - a table or diagram that represents a mathematical relation
7. Input - a value that is substituted in for the variable in a function in order to generate an output value
<span>It is also called order property of addition. This means that addends can be added in any order and the sum is always the same.</span>
Answer:1.69*10^12 J
Step-by-step explanation:
From figure above, using triangle ratio
485/755.5=y/l. Cross multiplying 485l=755.5y Divide via 485) hence l= 755.5y/485
Consider a slice volume Vslice= (755.5y/485)^2∆y; recall density =150lb/ft^3
Force slice = 150*755.5^2.y^2.∆y/485^2
From figure 2 in the attachment work done for elementary sclice
Wslice= 150.755.5^2.y^2.∆y.(485-y)/485^2
= (150*755.5^2*y^2)(485-y)∆y/485
To calculate the total work we integrate from y=0 to y= 485
Ie W=[ integral of 150*755.5^2 *y^2(485-y)dy/485] at y=0 and y= 485
Integrating the above
W= 150*755.5^2/485[485*y^3/3-y^4/4] at y= 0 and y=485
W= 150*755.5^2/485(485*485^3/3-484^4/4)-(485.0^3/3-0^4/4)
Work done 1.69*10^12joules
Answer:
The answer to your question is x = or x = 5
Step-by-step explanation:
To solve this problem use the Pythagorean theorem because two right triangles are formed.
c² = a² + b²
c = 10
a = x
b = x Because in a square all the sides measure the same.
10² = x² + x²
- Simplify
100 = 2x²
x² = 100/2
x² = 50
x = or x = 5
Answer:
1/96 or 0.01041666667
Step-by-step explanation: