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agasfer [191]
2 years ago
6

Which graph shows the solution to the system of linear inequalities? x – 4y < 4 y < x + 1 Image for option 1 Image for opt

ion 2 Image for option 3 Image for option 4

Mathematics
1 answer:
slava [35]2 years ago
7 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

x-4y ----> inequality A

solve for y

-4y

4y>x-4

y> (x/4)-1

The solution of the inequality A is the shaded area above the dashed line

The slope of the dashed line is positive

The y-intercept is the point (0,-1)

The x-intercept is the point (4,0)

y< x+1 ----> inequality B

The solution of the inequality B is the shaded area below the dashed line

The slope of the dashed line is positive

The y-intercept is the point (0,1)

The x-intercept is the point (-1,0)

Using a graphing tool

The solution of the system of inequalities in the attached figure

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inessss [21]

Answer:

Diameter of pipe = D = 64mm

cross sectional Area of pipe= A = pi * (D/2)^2 = pi * (32)^2 = 1024pi  mm^2

Discharge Rate of water = v = 2.05 mm/s

Volume of Cylinder = V = pi * (D/2)^2 * h = pi * (38)^2 * 2300 = 3321200pi  mm^3

(Area of pipe)*(Rate) = (Volume) / (Time)

Time = T = (Volume) / [(Area of pipe)*(Rate)]

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2 years ago
The amount of a sample remaining after t days is given by the equation P(t)=A(1/2)^(t/h), where A is the initial amount of the s
s344n2d4d5 [400]
The equation is:
P ( t ) = A * (1/2 )^(t/h)
If a sample contains 18% of the original amount of Radon - 222 and h = 3.8:
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0.18 = ( 0.5 )^(t/3.8)
t/3.8 = log _{1/2}0.18
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Answer:

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I hope this helps.

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