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kow [346]
3 years ago
7

-4x plus 3 equals -11

Mathematics
1 answer:
Hoochie [10]3 years ago
3 0
-4x+3= -11
      -3   -3
-4x= -14
___  ___
-4x    -4x

= 3.5
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Using this tree diagram, compute the probability of system failure. Follow each branch to find all possible favorable outcomes f
kifflom [539]

Answer: The system will succeed when the first alarm rings or when the first one fails, but the second one rings. The probability of this is 0.98

The probability of system failure is 1-(probability of success)= 1-0.98= 0.02

Step-by-step explanation:

7 0
3 years ago
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Find the percent of change from the first value to the second. 72: 81 -
nordsb [41]

Answer:

+12.5%

Step-by-step explanation:

This is rather simple. Subtract 72 from 81, then put the difference over 72. Then, multiply that by 100.

(81 - 72)/72 * 100

<em>Subtract 72 from 81 to get 9</em>

9/72 * 100

<em>Multiply 9 by 100 to get 900</em>

900/72

<em>Simplify the above fraction by cancelling out 9.</em>

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<em>Divide 100 by 8 to get 12.5%</em>

The percent of change is +12.5%

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Do you line plots display individual data
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4500 people attended a football game. If 4% of the people who attended were teenagers, how many teenagers attended the game?
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180 teenagers were at the game

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Find the work required to move an object in the force field F = e^x + y (1, 1, z) along the straight line from A(0, 0, 0) to B(-
DENIUS [597]

\vec F(x,y,z)=(e^x+y)(1,1,z)

is conservative if we can find a scalar function f such that \nabla f=\vec F. This would require

f_x=e^x+y

f_y=e^x+y

f_z=(e^x+y)z

Integrating both sides of the first equation wrt x gives

f(x,y,z)=e^x+xy+g(y,z)

Differentiating both sides of this wrt y gives

f_y=x+g_y=1\implies g_y=1-x\implies g(y,z)=y-xy+h(z)

but we assumed g was a function of y and z, independent of x. So there is no such f and \vec F is not conservative.

To find the work, first parameterize the path (call it C) by

\vec r(t)=(1-t)(0,0,0)+t(-4,5,-5)=(-4t,5t,-5t)

for 0\le t\le1. Then

\vec r'(t)=(-4,5,-5)

and the work is given by the line integral,

W=\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\int_0^1(e^{-4t}+5t,e^{-4t}+5t,-(e^{-4t}+5t)5t)\cdot(-4,5,-5)\,\mathrm dt

W=\displaystyle\int_0^1(125t^2+5t+(25t+1)e^{-4t})\,\mathrm dt=\boxed{\frac{2207}{48}-\frac{129}{16e^4}}

8 0
3 years ago
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