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3 years ago

15

The side of a square is measured to be 10ft with a possible error of plus/minus 0.1ft. Use linear approximation or differentials

to estimate the error in the calculated area. Include units in your answer.

1 answer:

Arlecino [84]3 years ago

7 0

Answer:

±2∧

Step-by-step explanation:

x=10ft dx=±0.1

area y=x²

dy=2xdx

when x=10

dy=2×10×(±0.1)=±2

error in area=±2

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F r e e points!!!!!!!!!!!!!!!!!

inn [45]

Answer:

gang

Step-by-step explanation:

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3 years ago

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What is the minimum value of 3x + 5y in the feasible region? (0, 7), (3, 7), (6, 3), (6, 0)

Schach [20]

Answer:

The minimum value is $18$

It occurs at $P(6,0)$

Step-by-step explanation:

The given objective function is $P(x,y)=3x+5y$

The vertices of the feasible region are $(0,7),(3,7),(6,3),(6,0)$ .

We plug in the vertices in to feasible region and evaluate to obtain,

$P(0,7)=3(0)+5(7)$

$P(0,7)=0+35$

$P(0,7)=35$

$P(3,7)=3(3)+5(7)$

$P(3,7)=9+35$

$P(3,7)=44$

$P(6,3)=3(6)+5(3)$

$P(6,3)=18+15$

$P(6,3)=33$

$P(6,0)=3(6)+5(0)$

$P(6,0)=18+0$

$P(6,0)=18$

7 0

3 years ago

Read 2 more answers

17) Solve the system as matrix equations using inverses. 17) A company produces three models of MP3 players, models A, B, and C.

Vinvika [58]

Answer:

Model A=30, Model B: 20, Model C: 45

Step-by-step explanation:

Let x be the amount of type A mp3 produced, and the amount of model B mp3's produced and z the amount of model C mp3 produced.

Since in total there are 303 hours for electronics work, then:

$3.2x+5.4y+2.2z=303$

Since in total there are 393 hours for assembly, then:

$2.8x+2.4y+5.8z=393$

Since in total there are 416 hours for quality assurance, then:

$4.4x+3.4y+4.8z=416$

Then, the linear system associated to the problem is

$3.2x+5.4y+2.2z=303\\2.8x+2.4y+5.8z=393\\4.4x+3.4y+4.8z=416$

with coefficient matrix $A=\left[\begin{array}{ccc}3.2&5.4&2.2\\2.8&2.4&5.8\\4.4&3.4&4.8\end{array}\right]$ and vector of constant terms $b=\left[\begin{array}{ccc}303\\393\\416\end{array}\right]$

Since the determinant of A is equal to 36.704 then A is invertible.

Then for solve the system $Ax=b$ , is enough find the inverse of A and operate

$Ax=b\\A^{-1}Ax=A^{-1}b\\x=A^{-1}b$

Using Octave we obtain that

$A^{-1}=\left[\begin{array}{ccc}-0.22&-0.50 &0.71\\0.33&0.15&-0.34\\-0.028& 0.35&-0.20\end{array}\right]$

Then

$x=A^{-1}b=\left[\begin{array}{ccc}30\\20\\45\end{array}\right]$

This means that 30 mp3's of model A, 20 of model B and 45 of model C must be produced

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3 years ago

Find the sum: 8/9 + 1/6

zepelin [54]

Answer:

8/9 + 1/6 = 1 1/18

Step-by-step explanation:

1. Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

8/9*2/2 + 1/6*3/3 = ?

2. Complete the multiplication and the equation becomes 16/18 + 3/18.

3. 16/18+3/18 = 19/18 = 1 1/18

8 0

3 years ago

9. The first of three numbers is 12 more than the 2nd number and the 3rd number is triple the 2nd number. Their sum is 204 . Wha

Marianna [84]

Answer:

1) 50.4

2) 38.4

3) 115.2

Step-by-step explanation:

1) x+12

2) x

3)3x

X+12+x+3x = 204

5x=204-12

5x=192

x = 192/5

x = 38.4

1) 38.4 +12=50.4

2) 38.4

3) 3*38.4 = 115.2

50.4+38.4+115.2 = 204

7 0

3 years ago