Answer:
37.8 yd^3
Step-by-step explanation:
base area = (4.5 x 2.8)/2 = 6.3 yd^2
Volume = 6.3 x 6 = 37.8 yd^3
Because x is negative the domain of the function is all negative real numbers.
Set the radical greater than or equal to 0:
-x >= 0
Turn x positive by multiplying both sides by -1. When you multiply an inequality by -1 you need to reverse the inequality sign:
X <= 0
Domain is all real numbers below 0 so all negative real numbers.
<h3>
Answer: 78.6</h3>
Work Shown:
![\begin{array}{|c|c|} \cline{1-2}\text{Number of People} & \text{Score}\\\cline{1-2}9 & 90\\\cline{1-2}18 & 80\\\cline{1-2}15 & 70\\\cline{1-2}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%7Cc%7Cc%7C%7D%20%5Ccline%7B1-2%7D%5Ctext%7BNumber%20of%20People%7D%20%26%20%5Ctext%7BScore%7D%5C%5C%5Ccline%7B1-2%7D9%20%26%2090%5C%5C%5Ccline%7B1-2%7D18%20%26%2080%5C%5C%5Ccline%7B1-2%7D15%20%26%2070%5C%5C%5Ccline%7B1-2%7D%5Cend%7Barray%7D)
Multiply across the rows to form a third column. Example: 9*90 = 810 in the first row.
![\begin{array}{|c|c|c|} \cline{1-3}\text{Number of People} & \text{Score} & \text{Number*Score}\\\cline{1-3}9 & 90 & 810\\\cline{1-3}18 & 80 & 1440\\\cline{1-3}15 & 70 & 1050\\\cline{1-3}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%7Cc%7Cc%7Cc%7C%7D%20%5Ccline%7B1-3%7D%5Ctext%7BNumber%20of%20People%7D%20%26%20%5Ctext%7BScore%7D%20%26%20%5Ctext%7BNumber%2AScore%7D%5C%5C%5Ccline%7B1-3%7D9%20%26%2090%20%26%20810%5C%5C%5Ccline%7B1-3%7D18%20%26%2080%20%26%201440%5C%5C%5Ccline%7B1-3%7D15%20%26%2070%20%26%201050%5C%5C%5Ccline%7B1-3%7D%5Cend%7Barray%7D)
The values in the third column add to 810+1440+1050 = 3300
Divide this over the total number of people which is 9+18+15 = 42
The mean is 3300/42 =78.571 approximately which rounds to 78.6
Answer:
Step-by-step explanation:
From the law of variation,
y <> 1/x, where <> is the constant of proportionality. Therefore
y = k/x where k is a constant
3 = k/5 and k = 15
To find x when y = 2.5(5/2)
Go back to the second equation
y = k/x
5/2 = 15/x
When you cross multiply
5x = 30.
Divide through by 5,
x = 6.
68 minus 19 is 49
So the answer is there are 49 more children in the school then on the playground.