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3 years ago

At what point will f(x) = 3^x exceed g(x) = 2x + 5 and h(x) = x^2 +4?

Mathematics

1 answer:

Alex73 [517]3 years ago

5 0

Answer: B ( 2,9) .

Step-by-step explanation:

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Determine if the triangles are similar. If similar, state how and complete the similarity stated.

Alenkinab [10]

Answer:

a record of all the mail that a mailbox identifies as Junk

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3 years ago

At a specific point on a highway, vehicles arrive according to a Poisson process. Vehicles are counted in 12 second intervals, a

morpeh [17]

Answer: a) 4.6798, and b) 19.8%.

Step-by-step explanation:

Since we have given that

P(n) = $\dfrac{15}{120}=0.125$

As we know the poisson process, we get that

$P(n)=\dfrac{(\lambda t)^n\times e^{-\lambda t}}{n!}\\\\P(n=0)=0.125=\dfrac{(\lambda \times 14)^0\times e^{-14\lambda}}{0!}\\\\0.125=e^{-14\lambda}\\\\\ln 0.125=-14\lambda\\\\-2.079=-14\lambda\\\\\lambda=\dfrac{2.079}{14}\\\\0.1485=\lambda$

So, for exactly one car would be

P(n=1) is given by

$=\dfrac{(0.1485\times 14)^1\times e^{-0.1485\times 14}}{1!}\\\\=0.2599$

Hence, our required probability is 0.2599.

a. Approximate the number of these intervals in which exactly one car arrives

Number of these intervals in which exactly one car arrives is given by

$0.2599\times 18=4.6798$

We will find the traffic flow q such that

$P(0)=e^{\frac{-qt}{3600}}\\\\0.125=e^{\frac{-18q}{3600}}\\\\0.125=e^{-0.005q}\\\\\ln 0.125=-0.005q\\\\-2.079=-0.005q\\\\q=\dfrac{-2.079}{-0.005}=415.88\ veh/hr$

b. Estimate the percentage of time headways that will be 14 seconds or greater.

so, it becomes,

$P(h\geq 14)=e^{\frac{-qt}{3600}}\\\\P(h\geq 14)=e^{\frac{-415.88\times 14}{3600}}\\\\P(h\geq 14)=0.198\\\\P(h\geq 14)=19.8\%$

Hence, a) 4.6798, and b) 19.8%.

7 0

3 years ago

Do u guys mind helping me??

Rasek [7]

Answer:

I think the constant is 2.

Step-by-step explanation:

5 is coefficient because it is with a variable. So 5 cannot be constant.

5 0

3 years ago

Can you tell me <br>what is 2 4/5 x 3

harkovskaia [24]

4 1/5

hope this helped, im better at algebra tho :)

3 0

3 years ago

For the following figure what’s the value of x?

Leto [7]

Answer:

x = 8 in

y = 8sqrt(2) in

Step-by-step explanation:

x = 8

AC = BC

Because opposite angles are equal.

8² + 8² = hyp²

hyp² = 64 + 64 = 128

hyp = sqrt(128)

hyp = 8sqrt(2)

Where sqrt is the square root

8 0

3 years ago