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dexar [7]
3 years ago
14

Write the first five terms of the geometric sequence. an = 5an-1; a1 = -2

Mathematics
1 answer:
matrenka [14]3 years ago
4 0

a1=-2

a2=-2*5=-10

a3=-10*5=-50

a4=-50*5=-250

a5=-250*5=-1250

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The friendly sausage factory (fsf) can produce hot dogs at a rate of 5,000 per day. fsf supplies hot dogs to local restaurants a
juin [17]

Answer:

a. 21 327 hot dogs/run

b. 70 runs/yr

c. 4 da/run

Step-by-step explanation:

Data:

Production rate (p)           = 5000/da

Usage rate (u)                  =    260/da

Setup cost (S)                   = $66

Annual carrying cost (H) = $0.45/hot dog

Production days (d)         = 294 da

Calculations:

a. Optimal run size

(i) Annual demand (D) = pd = (5000 hot dogs/1 day) × (294 days/1 yr)

= 1 470 000 hot dogs/yr

(ii) Economic run size

Q_{0}= \sqrt{\frac{2DS }{ h}\times\frac{ p}{p-u }}

= \sqrt{\frac{2\times1470000\times66 }{ 0.45}\times\frac{ 5000}{5000-260 }}

= \sqrt{431200000\times\frac{ 5000}{4740 }}

= \sqrt{454852321}

= 21 327 hot dogs/run

b. Number of runs per year

Runs = D/Q₀ = (1 470 000 hot dogs/1yr) × (1 run/21 327 hotdogs)

= 70 runs/yr

c. Length of a run

Length = Q₀/p = (21 327 hot dogs/1 run) × (1 da/5000 hot dogs)

= 4 da/run

8 0
3 years ago
I need sum help........
zimovet [89]

Answer:

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Step-by-step explanation:

7 0
3 years ago
The radius of a regular decagon, a 10-sided figure, is 15 units. The length of one side of the polygon measures about 9.3 units.
melamori03 [73]
The formula for solving the area of a regular decagon is shown below:
A=(5/2)a²√(5+2√5)
 
where "a" refers to the measurement of the side on which in this problem, it is equal to 9.3 units

We can proceed in solving for the area and the solution is shown below:
A=(5/2)*(9.3)²√(5+2√5)
A=665.47 square units

The answer is 665.47 square units.


 
8 0
4 years ago
Read 2 more answers
What is 5 1/4 - 2 1/6 ?
podryga [215]
It would be 3.08333333333
3 0
3 years ago
Factor the trinomial x^2- 5x- 36 Which of the following is one of the factors?
JulijaS [17]

Answer:

Final factor is (x-9)(x+4)

Step-by-step explanation:

Given expression is x^2- 5x- 36.

Now we need to factor that expression

x^2- 5x- 36

Find two numbers whose product is -36 and sum is -5.

Two such numbers oare -9 and +4. So we get:

=x^2- 9x+4x- 36

=x(x-9)+4(x-9)

=(x-9)(x+4)

Hence final factor is (x-9)(x+4)

5 0
3 years ago
Read 2 more answers
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