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3 years ago

Which of the following equations is non-linear?

1 answer:

7 0

D--because it has y^2 in the equation and to isolate y you have to take the square root, the graph is going to be curved rather than linear.

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If the null space of A4×5 is exactly a two-dimensional plane, answer the following:

Hatshy [7]

Answer:

A is a 4 x 5 matrix => A: U -> V, dim U = 5, dim V = 4

Null space is exactly two dimensional plane

dim null (A) = 2

II.

Rank A = dim U - dim Null A = 5 - 2 = 3

III.

Number of linearly Independent columns of A is the rank of A = 3

IV.

Yes, The system Ax = b has no solution sometimes as range of A \neq V

Yes,Sometimes Ax = b has a unique solution

VI.

Yes, sometimes Ax = b has infinitely many solutions

8 0

3 years ago

The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with

NISA [10]

Answer:

a) 0.125

b) 7

c) 0.875 hr

d) 1 hr

e) 0.875

Step-by-step explanation:l

Given:

Arrival rate, λ = 7

Service rate, μ = 8

a) probability that no requests for assistance are in the system (system is idle).

Let's first find p.

a) ρ = λ/μ

$\frac{7}{8} = 0.875$

Probability that the system is idle =

1 - p

= 1 - 0.875

=0.125

probability that no requests for assistance are in the system is 0.125

b) average number of requests that will be waiting for service will be given as:

λ/(μ - λ)

$= \frac{7}{8 - 7}$

= 7

= λ/[μ(μ - λ)]

$= \frac{7}{8(8 - 7)}$

= 0.875 hour

(d) average time at the reference desk in minutes.

Average time in the system js given as: 1/(μ - λ)

$= \frac{1}{(8 - 7)}$

= 1 hour

(e) Probability that a new arrival has to wait for service will be:

λ/μ =

${7}{8}$

= 0.875

5 0

4 years ago

If u=0, make t the subject of the following equation: s=ut+1/2at^2 Please look at image.

Sladkaya [172]

Answer:

$t=\sqrt{\dfrac{2s}{a}}$

Step-by-step explanation:

The given equation is :

$s=ut+\dfrac{1}{2}at^2$

Where

s is displacement

u is the initial velocity

a is acceleration

t is time

If u = 0, the above equation become,

$s=\dfrac{1}{2}at^2\\\\t^2=\dfrac{2s}{a}\\\\t=\sqrt{\dfrac{2s}{a}}$

Hence, the value of t is equal to $\sqrt{\dfrac{2s}{a}}$ .

4 0

3 years ago

15+6x=1/2(32+12x)-1 <br> please help mEEE

Gnesinka [82]

Answer:

here is the answer please mark me as brainliest please

4 0

3 years ago

Footballs cost $22.00 each. The athletic director has $277.00 in his budget to spend on footballs there is a $13.00 shipping fee

ZanzabumX [31]

Answer:

Step-by-step explanation:

x = number of footballs he can order

22*x + 13 (shipping fee) = 277

22x = 264 Subtract 13 from both sides

x = 16 Divide both sides by 22

Our solution is 16 footballs

5 0

3 years ago