Answer: he will need 355.68 centimeters³ of sand to fill half of the sandbox
Step-by-step explanation:
The formula for determining the volume of a rectangular prism is expressed as
Volume = length × base × height
It can also be expressed as
Volume = base area × height
The area of the base of the sandbox is 124.8 square centimeters, and it will have a height of 5.7 centimeters. This means that the volume of the sandbox is
124.8 × 5.7 = 711.36 centimeters³
Since Mr. Berger plans to fill the sandbox half full of sand, the volume of sand he will need to fill half of the sandbox is
711.36/2 = 355.68 centimeters³
Answer:
Graphs
Step-by-step explanation:
Graphs are a common method to visually illustrate relationships in the data. The purpose of a graph is to present data that are too numerous or complicated to be described adequately in the text and in less space.
I am assuming the expression is (2x-3)(x+5) or (2x-3)(x-5). I will teach you how to solve for both as I am not sure which one you are asking for. There are 4 steps to multiplying.
1) Multiply the x times the second x
2) Multiply x times the second number
3) Multiply the number by the second x
4) Multiply the number by the second number.
(2x*x)+(2x*5)+(-3*x)+(-3*5)=(2
)+(10x)+(-3x)+(-15)=2
+7x-15
(2x*x)+(2x*-5)+(-3*x)+(-3*-5)=(2
)+(-10x)+(-3x)+(15)=2
-13x+15
Your answer is 2
+7x-15 or 2
-13x+15. Does that answer your question?
Answer:
25
Step-by-step explanation:
Step-by-step explanation:
A)
The length of the box is 30 − 2x inches.
The width of the box is 30 − 2x inches.
The height of the box is x inches.
So the volume is:
V = x (30 − 2x)²
B)
V(3) = 3 (30 − 6)² = 1728
V(4) = 4 (30 − 8)² = 1936
V(5) = 5 (30 − 10)² = 2000
V(6) = 6 (30 − 12)² = 1944
V(7) = 7 (30 − 14)² = 1792
As x increases, the volume of the box increases to a maximum and then decreases.
C)
The ends of the domain occur when V = 0.
0 = x (30 − 2x)²
x = 0 or 15
So the domain is (0, 15).
