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yanalaym [24]
3 years ago
7

The time to assemble the first unit on a production line is 8 hours. The learning rate is 0.81. Approximately how long will it t

ake for the seventh unit to be​ assembled?
Mathematics
1 answer:
pochemuha3 years ago
3 0

Answer:

4.428 hours

Step-by-step explanation:

If the learning rate is 0.81, the slope of the learning curve is:

b=\frac{ln(0.81)}{ln(2)} \\b=-0.304

The time it takes to produce the n-th unit is:

T_n=T_1*n^b

If T1 = 8 hours, the time required to produce the seventh unit will be:

T_n=8*7^{-0.304}\\T_n=4.428\ hours

It will take roughly 4.428 hours.

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Percy use hose to wash pig sty for 11 minutes. The hose uses 7 liters of water every minute how many liters did percy pig use to
kykrilka [37]

Answer:

Percy used 77 liters to wash

Step-by-step explanation:

This question can be solved using a rule of three.

Each minute of washing costs 7 liters.

She washed for 11 minutes.

So

1 minute - 7 liters

11 minutes - x liters

x = 7*11 = 77

Percy used 77 liters to wash

6 0
3 years ago
Is this all correct?
Doss [256]

Answer:

No

Step-by-step explanation:

11. Correct

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12. 32 = 3.5a + 25

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3 0
3 years ago
What is the equation to -2x-9=-89
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6 0
3 years ago
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3 0
3 years ago
Determine the lateral and total surface area of the pyramid.
Umnica [9.8K]

Answer:                      

Lateral surface area = 45.5

Total surface area = 60.2

Step-by-step explanation: To find the lateral surface area, we first need to find the surface area of one triangle. For the triangle on the right/left, you multiply 3.5*5.8, which equals 20.3. Since this is a triangle, we multiply the product (20.3) by 1/2. The answer is 10.15. Since there are two triangles with the same dimensions as this, we multiply 10.15 by 2, which equals 20.3. For the triangle on the top/bottom, we multiply 4.2*6, which equals 25.2. Since this is a triangle again, we multiply 25.2 by 1/2. The answer is 12.6. Since there are two triangles with the same dimensions as this, we multiply 12.6 by 2, which equals 25.2. Now we add 20.3 + 25.2, which equals 45.5. This is the lateral surface area.

To find the total surface area, we now need to find the area of the base as well. To do so, we multiply 4.2 by 3.5, which equals 14.7. Now we add 45.5, the area of all the triangles, with 14.7, the area of the base. The answer is 60.2.

I hope this helps!

6 0
3 years ago
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