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2 years ago

Which graph represents the solution of y <_ x + 3 and y >_ -2x - 2? Please show work

Mathematics

1 answer:

ziro4ka [17]2 years ago

7 0

Answer:

it is 4th one

Step-by-step explanation:

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Find the differential of the function w=xsin(2yz^4).

SCORPION-xisa [38]

The differential of

$w = x \sin(2yz^4)$

$\mathrm dw = \dfrac{\partial w}{\partial x}\,\mathrm dx + \dfrac{\partial w}{\partial y}\,\mathrm dy + \dfrac{\partial w}{\partial z}\,\mathrm dz$

where the partial derivatives are

$\dfrac{\partial w}{\partial x} = \sin(2yz^4) \\\\ \dfrac{\partial w}{\partial y} = x \cos(2yz^4) \times 2z^4 = 2xz^4 \cos(2yz^4) \\\\ \dfrac{\partial w}{\partial z} = x \cos(2yz^4) \times 8yz^3 = 8xyz^3 \cos(2yz^4)$

So the differential d<em>w</em> is

$\mathrm dw = \boxed{\sin(2yz^4)}\,\mathrm dx + \boxed{2xz^4 \cos(2yz^4)}\,\mathrm dy + \boxed{8xyz^3 \cos(2yz^4)}\,\mathrm dz$

5 0

3 years ago

Emily is pushing a toy sand truck. She realizes it is much harder to push the truck when it is full of sand than when it is empt

Alecsey [184]

Answer:

I think it's because an object with a greater mass requires a smaller force to accelerate.

5 0

2 years ago

It takes 14 electricians 18 days to wire a new housing subdivision. How many days would it take 24 electricians to do the same j

PSYCHO15rus [73]

Answer = 21/2 days or 10 and 1/2 days

It takes 14 electricians 18 days to wire a new housing subdivision.

One electrician take more time to wire a new housing subdivision.

So one electrician take 14 x 18 days to complete the job.

Therefore 24 electricians take less time to complete the job.

Number of days taken by 24 electricians to wire a new housing subdivision.= (14 x 18 )/24=21/2 days

Therefor 24 electricians take (14 x 18 )/24=21/2 days

3 0

3 years ago

Read 2 more answers

Write a division equation that has a solution of 42

Allisa [31]

Heres an equation: 126/3 = 42

4 0

3 years ago

Read 2 more answers

An automated egg carton loader has a 1% probability of cracking an egg, and a customer will complain if more than one egg per do

vaieri [72.5K]

Answer:

a) Binomial distribution B(n=12,p=0.01)

b) P=0.007

c) P=0.999924

d) P=0.366

Step-by-step explanation:

a) The distribution of cracked eggs per dozen should be a binomial distribution B(12,0.01), as it can model 12 independent events.

b) To calculate the probability of having a carton of dozen eggs with more than one cracked egg, we will first calculate the probabilities of having zero or one cracked egg.

$P(k=0)=\binom{12}{0}p^0(1-p)^{12}=1*1*0.99^{12}=1*0.886=0.886\\\\P(k=1)=\binom{12}{1}p^1(1-p)^{11}=12*0.01*0.99^{11}=12*0.01*0.895=0.107$

Then,

$P(k>1)=1-(P(k=0)+P(k=1))=1-(0.886+0.107)=1-0.993=0.007$

c) In this case, the distribution is B(1200,0.01)

$P(k=0)=\binom{1200}{0}p^0(1-p)^{12}=1*1*0.99^{1200}=1* 0.000006 = 0.000006 \\\\ P(k=1)=\binom{1200}{1}p^1(1-p)^{1199}=1200*0.01*0.99^{1199}=1200*0.01* 0.000006 \\\\P(k=1)= 0.00007\\\\\\P(k\leq1)=0.000006+0.000070=0.000076\\\\\\P(k>1)=1-P(k\leq 1)=1-0.000076=0.999924$

d) In this case, the distribution is B(100,0.01)

We can calculate this probability as the probability of having 0 cracked eggs in a batch of 100 eggs.

$P(k=0)=\binom{100}{0}p^0(1-p)^{100}=0.99^{100}=0.366$

5 0

3 years ago