Answer:
a) The marginal cost function is given by
C'(x) = 4 + 0.04x + 0.0003x² (in dollars)
b) C'(70) = $8.27
Step-by-step explanation:
C(x) = 1000 + 4x + 0.02x² + 0.0001x³
a) Marginal cost is usually defined as the cost of producing one extra unit of product. It expresses how much the total cost is changing with respect to number of units of product.
Mathematically,
MC = (dC/dx) = C'(x)
For this question,
C'(x) = 4 + 0.04x + 0.0003x²
b) C'(70) means the marginal cost at x = 70 units, that is, how much the total cost is changing after the production of 70 units; the cost of producing one extra unit of product after producing 70 units.
C'(x) = 4 + 0.04x + 0.0003x²
C'(70) = 4 + 0.04(70) + 0.0003(70²)
C'(70) = $8.27
Hope this helps!
Answer:
Option B. AA
Step-by-step explanation:
we know that
Angle-Angle (AA) Similarity Postulate, states that If two angles of one triangle are congruent to two angles of another, then the triangles must be similar
In this problem
<em>In the triangle XYZ</em>
∠X=70°
∠Y=90°
∠Z=90°-70°=20° (remember that angle X and angle Z are complementary)
<em>In the triangle UWV</em>
∠V=20°
∠W=90°
∠U=90°-20°=70° (remember that angle V and angle U are complementary)
therefore
Traingles XYZ and UWV are similar by AA Similarity Postulate
If you would like to know which subtraction expression has the difference 1 + 4i, you can calculate this using the following steps:
a. (–2 + 6i) – (1 – 2i) = –2 + 6i – 1 + 2i = –3 + 8i
b. (–2 + 6i) – (–1 – 2i) = <span>–2 + 6i + 1 + 2i = </span>–1 + 8i
c. (3 + 5i) – (2 – i) = 3 + 5i – 2 + i = 1 + 6i
d. (3 + 5i) – (2 + i) = 3 + 5i – 2 – i = 1 + 4i
The correct result would be <span>d. (3 + 5i) – (2 + i).</span>
Answer:
the probability that she rolls a blue is 33.3% or 1/3. the probability that she lands heads is 50% or 1/2
