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Gemiola [76]
3 years ago
11

THE EXPRESSION (TAN THETA) (CSC THETA) IS EQUAL TO?

Mathematics
1 answer:
Neporo4naja [7]3 years ago
6 0
tan\theta\cdot csc\theta=\frac{sin\theta}{cos\theta}\cdot\frac{1}{sin\theta}=\frac{1}{cos\theta}=sec\theta
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A city's population increases by 5% every year. If its population today is 300,000, write a function that models the population
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Answer:

f(x) = 300,000(1.05)^x

Step-by-step explanation:

Use the exponential growth equation:

f(x) = a(1 + r)^x

Plug in 300,000 as a, since it is the original population:

f(x) = 300,000(1 + r)^x

The city's population is growing at 5% each year, so plug in 0.05 as r:

f(x) = 300,000(1 + 0.05)^x

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Determine the utilization and the efficiency for each situations:A. A loan processing operation that processes an average of 7 l
Vera_Pavlovna [14]

Answer:

A) Utilization = 70%

Efficiency = 87.5%

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Step-by-step explanation:

Determine the utilization and the efficiency for each situations:

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Formula for Utilization = Actual Output /

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Actual output = 7 loans per day

Design capacity = 10 loans per day

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Effective capacity = 8 loans per day

Efficiency = 7/8 × 100

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Formula for Utilization = Actual Output /

Design Capacity × 100

Actual output = four furnaces a day

Design capacity = six furnaces a day

Utilization = 4/6 × 100

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Effective capacity = five furnaces a day

Efficiency = 4/5 × 100

= 80%

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