Answer:
Volume of rectangular prism = 175 / 6 inch³
Step-by-step explanation:
Given:
Base area of rectangular prism = 23 ¹/₃ inch² = 70 / 3 inch²
Height of rectangular prism = 1 ¹/₄ inch = 5 / 4 inch
Find:
Volume of rectangular prism
Computation:
Volume of rectangular prism = Base area of rectangular prism x Height of rectangular prism
Volume of rectangular prism = [70 / 3] x [5 / 4]
Volume of rectangular prism = [350 / 12]
Volume of rectangular prism = 175 / 6 inch³
Answer:
1) x=10
2) x=6
3) x=13
Step-by-step explanation:
1) 15x-17+4x+7=180
19x-10=180
19x=190
x=10
2) 13x+5=16x-13
5+13=16x-13x
18=3x
x=6
3) 9x+7=11x-19
7+19=11x-9x
26=2x
x=13
Refer to the diagram shown below.
The volume of the container is 10 m³, therefore
x*2x*h = 10
2x²h = 10
h = 5/x² (1)
The base area is 2x² m².
The cost is $10 per m², therefore the cost of the base is
(2x²)*($10) = 20x²
The area of the sides is
2hx + 2(2xh) = 6hx = 6x*(5/x²) = 30/x m²
The cost is $6 per m², therefore the cost of the sides is
(30/x)*($6) = 180/x
The total cost is
C = 20x² + 180/x
The minimum cost is determined by C' = 0.
That is,
40x - 180/x² = 0
x³ = 180/40 = 4.5
x = 1.651
The second derivative of C is
C'' = 40 + 360/x³
C''(1.651) = 120 >0, so x = 1.651 m yields the minimum cost.
The total cost is
C = 20(1.651)² + 180/1.651 = $163.54
Answer: $163.54
Answer:
224
Step-by-step explanation:
<u>Base:</u>
A = Bh
A = 8(8) = 64
<u>Sides:</u>
A = 1/2 Bh
A = 1/2 8(10)
A = 40
<u>Then you do 40(4) because there are 4 sides:</u>
40 (4) = 160
<u>Then you add up the base and the sides:</u>
160 + 64 = 224
(I think this is the right answer)
Answer:
You are trying to find the x-value when the y-value is 2. On the graph, the x-value is -3 when the y-value is 2. So, the x-value when f(x)=2 is -3.
:)