Answer:
f6h40
Step-by-step explanation:
Step 1 :
h23
Simplify ———
f3
Equation at the end of step 1 :
h23
((f9) • ———) • h17
f3
Step 2 :
Multiplying exponential expressions :
2.1 h23 multiplied by h17 = h(23 + 17) = h40
Final result :
f6h40
Answer:
Explanation
The capacity of the shelter is a constant. It is 80 people × 14 days.
That is an inverse relation: the product of the number of people and the number of days will be always the same.
As the number of people decreases the number of days that the food lasts increases, in a proportion such that the product of the days and the number of people is the same.
Thus, for 32 people the number of days the food lasts is x, such that:
- 32 people × x = 80 people × 14 days
Solving for x:
- x = 80 people × 14 days / 32 people
The food will last 35 days.
Well, the give us 1990-2006 as the time period. If you don't know how many years that is and don't feel like counting: 2006-1990=16
Then plug it in the equation t=16
E(t)=204(1.04)t
E(16)=204(1.04)16
E(16)=212.16•16
E(16)=3394.46
Answer:
(Exact Answer) When all the entries above the diagonal entries are 0, the solution will not be different from when all the entries below the diagonal entries are 0. This is because in both cases, there will be one row that would be left with just one unknown element, thus giving us the solution to the other unknowns through back-substitution. For instance, in a linear system with three unknowns, x, y, and z, the traditional triangulated form will give us the value of z first; however, if the entries above the diagonal entries in the matrix are 0, then we will get the value of x first. In either case, the solution will be the same.
Step-by-step explanation:
Line 1 and Line 4 are parallel lines
Solution:
General equation of a line:
y = mx + c
where m is the slope and c is the y-intercept of the line.
<u>To find the slope of each line:</u>
Line 1: 
Slope 
Line 2: 
Add 7 on both sides, we get
Slope 
Line 3: 
Slope 
Line 4: 
Subtract x from both sides, we get
Multiply by 
on both sides, we get
Slope 
<em>Two lines are parallel, if their slopes are equal.</em>
From the above slopes,
Therefore Line 1 and Line 4 are parallel lines.
