Solve the problem.A rectangular box with volume 488 cubic feet is built with a square base and top. The cost is $1.50 per square foot for the top and the bottom and $2.00 per square foot for the sides. Let x represent the length of a side of the base. Express the cost the box as a function of x.
A. C(x) = 2x2 +
B. C(x) = 4x +
C. C(x) = 3x2 +
D. C(x) = 3x2 +
Answer: D
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Provide an appropriate response.Derive the equations x = x0 + (1 - e-kt)cos ?, y = y0 +
(1 - e-kt)sin ? +
(1 - kt - e-kt)by solving the following initial value problem for a vector r in the plane. Differential equation:
= -gj - kv = -gj - k
/> Initial conditions: r(0) = x0i + y0j (0) = v0 = (v0cos ?)i + (v0sin ?)jThe drag coefficient k is a positive constant representing resistance due to air density, v0 and ? are the projectile's initial speed and launch angle, and g is the acceleration of gravity.
What will be an ideal response?
Multiply.(x + 1)(-2x - 8)
A. -2x2 - 10x - 10 B. -2x2 - 8x - 10 C. -2x2 - 10x - 8 D. -2x2 - 12x - 8
Write the word name for the number.9,300,695
A. Nine million, three hundred thousand, six hundred ninety-five B. Nine million, thirty thousand, six hundred ninety-five C. Nine million, three thousand, six hundred ninety-five D. Ninety-three thousand, six hundred ninety-five
Complete the ordered pair for the given equation.y = -x - 8(-9, )
A. (-9, 11) B. (-9, 1) C. (-9, -11) D. (-9, -1)