Answer:
64
Step-by-step explanation:
Given that,
Buddy painted (1/5) of the 320 nutcrackers.
We need to find how many nutcrackers did buddy paint. It can be calculated by finding (1/5) of 320.
Hence, he painted 64 nutcrackers.
Answer:
B) Jill omitted a factor pair, which affected the GCF and factored expression.
Step-by-step explanation:
Jill is factoring the expression 13xy-52y. Her work is shown below.
Factors of 13xy: 1, 13, x, y
Factors of 52y: 1, 2, 26, 52, y OOPSIE she forgot 4,13
GCF: y
Factored expression: y(13x-52) 13y (x-4)
It would just be the square root of 10y
so 10y under a radical. Assuming the y is to the power of 1/2
A = 1/2bh
40 = 1/2 x^2
x^2 = 80
x = 8.9
Answer:
Total cost is $205328
Step-by-step explanation:
Given data:
cost C(q) = 0.1 q^3 - 0.5 q^2 + 500 q + 200
current units q = 4 ( 4000 units )
The current level of production is 4000 ( 4 )units, and manufacturer is planning to upgrade this to 4100 ( 4.1 ) units
C'(q) = 3 * 0.1 q^2 - 2 * 0.5 q + 500
C'(q) = 0.3 q2 - q + 500
C(4.1) - C(4) ≈ C’(4) x Δq
≈ C’(4) x 0.1
≈ ( 0.3 * 4^2 - 4 + 500 ) x 0.1
≈ ( 0.3 * 16 - 4 + 500 ) x 0.1
≈ 500.8 x 0.1 ≈ 50.08
total cost = 4100 x 50.08 = $205328
