1.) C(t) = -0.30(t - 12)^2 + 40
for t = 12: C(12) = -0.30(12 - 12)^2 + 40 = -0.30(0)^2 + 40 = 40°C
For t = 24: C(24) = -0.30(24 - 12)^2 + 40 = -0.30(24 - 12)^2 + 40 = -0.30(12)^2 + 40 = -0.30(144) + 40 = -43.2 + 40 = -3.2°C
4.) F(t) = 9/5 C(t) + 32
for C(t) = 40°C: 9/5 (40) + 32 = 72 + 32 = 104°F
for C(t) = -3.2°C: 9/5(-3.2) + 32 = -5.76 + 32 = 26.24°F
5.) F(t) = 9/5 C(t) + 32 = 9/5 (-0.30(t - 12)^2 + 40) + 32 = -0.54(t - 12)^2 + 72 + 32 = -0.54(t - 12)^2 + 104
Answer:
The dimensions of the rectangular box, x = y = z = 0.817 cm
Step-by-step explanation:
Given;
total surface area of the rectangular box or cuboid = 4 cm²
A rectangular box with largest volume is a cube.
The total surface area of a cube = 6 times square of one edge length.
Let the edge length = given dimensions, x, y, z
x = y = z
6x² = 4
x² = 4/6
Therefore, the dimensions of the rectangular box, x = y = z = 0.817 cm
9514 1404 393
Answer:
x = 12
Step-by-step explanation:
The similarity statement tells you corresponding sides have the same ratio.
AB/BC = FE/EC
x/10 = 6/5
x = 10(6/5)
x = 12
Answer:
I think that it is a quadratic