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3 years ago

A company rents a bicycle by charging a rental fee plus an hourly rate.

Mathematics

1 answer:

Bess [88]3 years ago

5 0

Answer:

y=2x+10

Step-by-step explanation:

1hr-12 dollars

2hrs-14 dollars

4hrs-18 dollars

and henceforth adding two

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A rational function g is given below. Find all values of a for which g(a)=16. g(x)=(4)/(x+1)+(20)/(x^(2)+2x+1)

aliina [53]

Answer:

a = 2/3

Step-by-step explanation:

(4(x+1) + 20 )/(x+1) = 16

4x + 4 + 20 = 16x + 16

12x = 8

x = 2/3

3 0

3 years ago

The lifespan, in years, of a certain computer is exponentially distributed. The probability that its lifespan exceeds four years

kompoz [17]

Answer:

The correct answer is " $0.300993e^{-0.300993x}$ ".

Step-by-step explanation:

According to the question,

⇒ $P(x>4)=0.3$

We know that,

⇒ $P(X > x) = e^{(-\lambda\times x)}$

⇒ $e^{(-\lambda\times 4)} = 0.3$

∵ $\lambda = 0.300993$

Now,

⇒ $f(x) = \lambda e^{-\lambda x}$

By putting the value, we get

$=0.300993e^{-0.300993x}$

3 0

3 years ago

Using Newton's Law of Cooling. You are a medical examiner called to an abandoned house in which a dead body has been discovered.

Artyom0805 [142]

A) The differential equation comes from the fact that the rate of temperature change is proportional to the difference in temperatures.
$\frac{dT}{dt} = \alpha(T -52)$

B) Find general solution by separating variables and integrating $\int\frac{dT}{T-52} = \alpha \int dt \\ ln (T-52) = \alpha t + C \\ T = C e^{\alpha t} +52$ :

C) Initial condition is t=0, T = 87
$87 = C +52 \\ C = 35$

D) Total time elapsed is 10 minutes, new temperature is 84
$84 = 35 e^{10\alpha} +52$
solve for alpha
$e^{10\alpha} =\frac{32}{35} \\ \alpha = \frac{ln(32/35)}{10} \\ \alpha = -.00896$

E) Temperature function is:
$T = 35 e^{-.00896 t} +52$
solving for t
$t = \frac{ln (\frac{T-52}{35})}{-.00896}$
Plug in T = 98.6
$t = -31.95$

This is approximately 32 minutes before he arrived or about 1:20 AM

3 0

3 years ago

How could you use a horizontal number line to compare the<br> elevations

Goryan [66]

5. Completa estos patrones:

a. 0.03 0.3 __________ 30 __________ __________

3 0

3 years ago

What is the minimum volume of hot air needed to lift a hot air balloon carrying 800kg

nevsk [136]

Answer:

The minimum volume of hot air needed to lift a hot air balloon carrying 800kg

Is 653.1m³

Step-by-step explanation:

This problem bothers on the density of materials in this problem air

Given data

Volume of air V=?

Mass of air m= 800kg

From tables the density of air is

ρ =1.225 kg/m3

Now to solve for the volume we have

ρ=m/v

v=m/ρ

v=800/1.225

Volume v = 653.1m³

3 0

3 years ago