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Nimfa-mama [501]
3 years ago
11

What is the average metabolic rate for a boiler maker who is performing maintenance on the boiler during shutdown and works for

3 hours at 3.5 kcal/min, takes a break for 30 min in a sitting position (metabolic rate = 0.3 kcal/min), resumes working on the outside of the boiler for 3.5 hours (metabolic rate = 2.5 kcal/min), then performs administrative work in the area for 1 hour (metabolic rate = 0.4 kcal/min)?
Mathematics
1 answer:
Ann [662]3 years ago
3 0

Answer:

The average metabolic rate for the boiler maker during the 8 hours is 2.475 kcal/min.

Step-by-step explanation:

We can calculate the average as a weighted average.

This weighted average can be expressed as:

\bar M=\dfrac{\sum t_i\cdot M_i}{\sum t_i}=\dfrac{3*3.5+0.5*0.3+3.5*2.5+1*0.4}{3+0.5+3.5+1}\\\\\\\\\bar M=\dfrac{19.8}{8}=2.475

being ti the hours on each task or break, and Mi the metabolic rate for each task or break.

The average metabolic rate for the boiler maker during the 8 hours is 2.475 kcal/min.

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Mel's Furniture received an invoice dated September 27 for 5 bedroom sets at $3,000 each. The invoice indicated a chain discount
LenKa [72]

Answer: $12,916.70

Step-by-step explanation:

Given the following:

Invoice received :

Bedroom set = 5

Cost per set = $3,000

Chain discount = 5/8/3

Freight cost = $200

If Mel pays within the discount period:

Chain discount given = 5/8/3

Therefore, net equivalent price rate equals:

(1 - 0.05) × (1 - 0.08) × (1 - 0.03) =

0.95 × 0.92 × 0.97 = 0.84778

Net price = total cost × 0.84778

($3000 × 5) × 0.84778

$15000 × 0.84778 = $12,716.7

Net equivalent price + FOB Shipping

$12,716.7 + $200 = $12,916.70

5 0
3 years ago
The length of the room is 3 times the width and the total area of the room is 27 square meters. What is the length of the living
Vika [28.1K]
l=3w\\
lw=27\\\\
3w\cdot w=27\\
3w^2=27\\
w^2=9\\
w=3 \vee w=-3\\
-3\not\in\mathbb{N}\\\\
l=3\cdot3\\
l=9

7 0
3 years ago
J={x|x is an integer and x>-1}
Digiron [165]
The sentence reads:
J equals the value of x such that x is an integer AND x is greater than -1.

Translated to English, we can say J is an integer which is zero or positive, or in other words, J is a non-negative integer.
8 0
3 years ago
Given the following function, find the output value when x=3<br> f(x)=4x-5
Klio2033 [76]

Answer:

x=2

Step-by-step explanation:

4x-5=3

4x=3+5

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Solve for x: 3(x + 1) = −2(x − 1) + 6.
kow [346]

Answer:

x=1

Step-by-step explanation:

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3x+2x=2+6-3

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