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4 years ago

Find the area of a circle that has a diameter = 18

Mathematics

1 answer:

ki77a [65]4 years ago

4 0

Answer:

About 254.469 square units

Step-by-step explanation:

To find the area of a circle, you need to multiply the square of the radius by pi. To find the radius of a circle, you need to divide the diameter by 2, which in this case is 18/2=9. Now, you can plug it into the formula to find that the area of this circle is $\pi \cdot 9^2 \approx 254.469$ . Hope this helps!

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A machine makes two components; call them types A and B. It takes 250 seconds to switch production between the component types.

Alexus [3.1K]

Answer:

The average inventory depends on the manufacturing batch size.

Its formula is:

$Inventory=\frac{n}{3n+250}$

Step-by-step explanation:

The question is incomplete.

Question complete:

<em>"A machine makes two components, call them type A and B. It takes 250 seconds to switch production between the component types. During that time no production occurs. When in production, each unit of A or B requires 0.5 seconds to be completed. The two components, A and B are combined in an assembly process to make a final product, call it C. The assembly step can combine the two components into 1 unit every 2 seconds. What is the average inventory of B components?"</em>

We have two steps in this process: the manufacturing of A and B and the assembly process.

We are not told about the batch size, so we will treat that as a variable called n. This represents the amount of units (of A or B) that are manufactured per cycle.

Time (seconds) to manufacture n units of A and n units of B:

$T_m=n*0.5+n*0.5+250=n+250$

Time (seconds)to assemble n units of C

$T_a=n*2=2n$

Then the total time of the cycle is:

$T_m+T_a=n+250+2n=3n+250$

The average inventory of B is n units per cycle, which lasts (3n+250) seconds.

$Inventory=\frac{n}{3n+250}$

For a batch size of 100 units, the average inventory is:

$I_{100}=\frac{100}{3*100+250}=\frac{100}{550}= 0.182\, units/second$

For a batch size of 1,000 units, the average inventory is:

$I_{1000}=\frac{1000}{3*1000+250}=\frac{1000}{3250}= 0.308\, units/second$

5 0

3 years ago

A student decided to start saving money. On the first day he saved 1 cent, on the second day an additional 2 cents, on the third

Shkiper50 [21]

$ 524.288

Step-by-step explanation:

We will use the sum of a geometric series;

S = (first term)(1-r^n)/(1-r)

= 1(1 - 2^n) / (1 - 2)

= - (1 - 2^n)

= 2^n - 1

2 ^ (20 – 1)

2 ^ 19

= 524,288 cents

100 cents = 1 dollar

524,288 cents = 524,288/ 100 dollars

= $ 524.288

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3 years ago

The following system answer is no solution. Change one number to make the system an infinite solution and explain why it is now

kirza4 [7]

Step-by-step explanation:

The following system answer is no solution. Change one number to make the system an infinite solution and explain why it is now an infinite solution.

12y = 17 - 9x

-4y - 3x = 31

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3 years ago

Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 8% is applied to the room rate, and an a

rusak2 [61]

99.95/.8=124.93
124.93+5=129.93
129.93

4 0

3 years ago

Distance between (-9,-6) and (-6,-8)

Troyanec [42]

Answer:

The distance is....

Step-by-step explanation:

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