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3 years ago

if the area of a circle is represented by A=21π, what is the radius of the circle? round your answer to the nearest tenth

Mathematics

1 answer:

Reptile [31]3 years ago

5 0

The equation is actually
circle area = PI * radius^2
radius = square root (area / PI)

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A welder produces 7 welded assemblies during the first day on a new job, and the seventh assembly takes 45 minutes (unit time).

likoan [24]

Answer:

(a). 72.9%.

(b). 13.6 hr.

Step-by-step explanation:

So, we are given the following data or parameters or information which is going to assist us in solving this question/problem;

=> "A welder produces 7 welded assemblies during the first day on a new job, and the seventh assembly takes 45 minutes (unit time). "

=> The worker produces 10 welded assemblies on the second day, and the 10th assembly on the second day takes 30 minutes"

So, we will be making use of the Crawford learning curve model.

T(7) + 10 = T (17) = 30 min.

T(7) = T1(7)^b = 45.

T(17 ) = T1(17)^b = 30.

(T1) = 45/7^b = 30/17^b.

45/30 = 7^b/17^b = (7/17)^b.

1.5 = (0.41177)^b.

ln 1.5 = b ln 0.41177.

0.40547 = -0.8873 b.

b = - 0.45696.

=> 2^ -0.45696 = 0.7285.

= 72.9%.

(b). T1= 45/7^ - 045696 = 109.5 hr.

V(TT)(17) = 109.5 {(17.51^ - 0.45696 – 0.51^ - 0.45696) / (1 - 0.45696)} .

V(TT) (17) = 109.5 {(4.7317 - 0.6863) / 0.54304} .

= 815.7 min .

= 13.595 hr.

8 0

3 years ago

A salesperson obtained a systematic sample of size 25 from a list of 500 clients. To do so, he randomly selected a number from

dangina [55]

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

First term = 13

Increase each time = 20

Number of clients = 25

So, it forms an arithmetic progression:

So, 25 th term would be

$a_{25}=a+(n-1)d\\\\a_{25}=13+(25-1)\times 20\\\\a_{25}=13+24\times 20\\\\a_{25}=13+480\\\\a_{25}=493$

Hence, list would look like 13,33,............493.

Therefore, Option 'D' is correct.

3 0

2 years ago

John is considering joining an online class music site they charge $15 per month plus 3 dollars per song if John showing how muc

Yuri [45]

Answer:

It will cost 45 dollars

Step-by-step explanation:

8 0

3 years ago

3(6x+3) - (8-x) simplify

sergeinik [125]

Answer: 10 + 9

Step-by-step explanation:

1. Distribute: 3(6+3) - (8-x) = 18 + 9 - (8)

2. Eliminate redundant parentheses: 18 + 9 - (8) = 18 + 9 - 1 ⋅ 8

3. Multiply the numbers: 18 + 9 - 1 ⋅ 8 = 18 + 9 - 8

4. Combine like terms: 18 + 9 - 8 = 10 + 9

⋅

4 0

2 years ago

If the producer in a food chain has 1000 kcal of energy available, how much energy would each of the consumers have?

madam [21]

Answer:

Primary consumer = 100kcal

Secondary consumer = 10kcal

Tertiary consumer = 1kcal

Step-by-step explanation:

In a food chain, transfer of energy occurs when one organism feeds on another organism. However, only 10% of energy is transferred from one organism to another because energy is lost as heat when the organisms perform metabolism.

In a typical food chain consisting of a producer, a primary (1st), secondary (2nd) and tertiary (3rd) consumer, if there are 1000 kcal of energy available in the producer, then:

- Primary consumer will obtain; 10% of 1000Kcal

10/100 × 1000

Primary consumer = 100kcal of energy.

- Secondary consumer will obtain as follows; 10% of 100kcal available energy

= 10/100 × 100

Secondary consumer = 10Kcal of energy.

- Tertiary consumer will obtain as follows; 10% of 10Kcal of available energy.

= 10/100 × 10

Tertiary consumer = 1 kcal of energy.

6 0

3 years ago