2 years ago

Find the center and radius of a circle with the equation x² + y2 +6x–8y +16= 0.

Mathematics

1 answer:

allsm [11]2 years ago

7 0

The answer would be (3,-4);r=3

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A single-server waiting line system has an arrival pattern characterized by a Poisson distribution with 3 customers per hour. Th

sweet-ann [11.9K]

Answer:

18 minutes

Step-by-step explanation:

Given that:

The arrival time = 3 customers / hour

The avg. service rate (s) = 12 minutes per customer

To hour, we have:

$s = \dfrac{60}{12}$

s = 5 customers/ hour

Thus, the required average time for a customer needs to wait in line is:

$= \dfrac{3}{5}\times (5-3) hours \\ \\ = \dfrac{3}{5}\times 2 \\ \\ = \dfrac{3}{10} \ hours$

To minutes;

$= 3 \times \dfrac{60}{10} \ minutes$

= 18 minutes

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2 years ago

Which of the following could NOT be the lengths of the sides of a right triangle?

Marta_Voda [28]

D. 15 m, 2m, 2.5m. it doesn’t match the triangle inequality theorem. the sum of the side lengths don’t exceed that of the third side

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2 years ago

X2 – 12x + 37 = 0 in simplest a + bi form

Andreas93 [3]

Answer:

x=6+1

Step-by-step explanation:

4 0

3 years ago

What is the rate of interest on a loan of $2,000, for 284 days, if the amount of interest is $93.37, using the exact interest me

Viefleur [7K]

Answer: Option (c) is correct. Rate of interest = 6% p.a.

Step-by-step explanation:

Given that,

principal amount = $2000(loan)

time period = 284 days

interest amount (SI) = $93.37

we have to calculate the rate of interest (i),

Simple interest(SI) = principal amount × rate of interest (i) × time period

93.37 = 2000 × i × $\frac{284}{365}$

i = $\frac{34080.05}{568000}$

i = 0.06

i = 6%

3 0

2 years ago

Select the correct answer. If the function 5x + y = 1 has the domain (-2, 1, 6), then what is the corresponding range? OA. {-9,

Leokris [45]

Answer:

D) {11,-4,-29}

Step-by-step explanation:

rewrite the equation as y= -5x+1 and plug in -2,1 and 6 to get y

-5*-2+1=11

-5*1+1=-4

-5*6+1=-29

3 0

2 years ago