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3 years ago

4x² - 4x - 5=8x+6 Simplest radical form

Mathematics

2 answers:

fomenos3 years ago

6 0

Answer:

Step-by-step explanation:

Ymorist [56]3 years ago

5 0

Answer:

4^2 + 4x= 1

Step-by-step explanation:

4x^2 - 4x - 5= 8x +6

4x^2- 4x+8x =6-5

4x^2 + 4x =1

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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

4 years ago

Give an example of a function from the set of integers to the set of positive integers that is g

BaLLatris [955]

The function ...

... g = |x| + 1

will map any integer x into the set of positive integers g.

3 0

4 years ago

Subtract. Your answer should be a polynomial in standard form. a (4r ^ 2 - 3r + 2) - (- r ^ 2 - 3r) =

blsea [12.9K]

Answer:5r2+2

Step-by-step explanation:

Distribute the Negative Sign:

=4r2−3r+2+−1(−r2−3r)

=4r2+−3r+2+−1(−r2)+−1(−3r)

=4r2+−3r+2+r2+3r

Combine Like Terms:

=4r2+−3r+2+r2+3r

=(4r2+r2)+(−3r+3r)+(2)

=5r2+2

6 0

3 years ago

The area of a playground is 266 yd. The width of the playground is 5 yd longer than its length. Find th

Mademuasel [1]

Answer:

Step-by-step explanation:

The width is 5 yds longer so we can mark out b and d if you multiply 19 and 24 is 456 so you are left with C

5 0

3 years ago

Find f '(x) for f of x equals the square root of the quantity sine of 8 times x.

11Alexandr11 [23.1K]

$f(x)=\sqrt{\sin{8x}}\\f'(x)=\frac{8\cos{8x}}{2\sqrt{\sin{8x}}}$

8 0

3 years ago