Find the missing number in the following pattern 12 , 24, 82, 288

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

8 0

3 years ago

What is the value of x to the nearest tenth?

Oxana [17]

Actually the correct answer would be letter D. 89.7 mark as brainliest thanks

4 0

3 years ago

The weight y of a object on Jupiter is proportional to the weight x of the object on earth. An object that weighs 150 ponds on e

mario62 [17]

Answer:

5.02 pounds

Step-by-step explanation:

y = k*x

Where,

y = weight of a object on Jupiter

x = weight of the object on earth

k = constant of proportionality

An object that weighs 150 ponds on earth would weigh 378.2 ponds on Jupiter.

y = k*x

378.2 = k*150

378.2 = 150k

k = 378.2/150

= 2.5213

Approximately k = 2.52

determine how Much a rock that weigh 12.64 on Jupiter would weigh on earth

y = k*x

12.64 = 2.52*x

12.64 = 2.52x

x = 12.64 / 2.52

= 5.0159

Approximately x = 5.02 pounds

6 0

3 years ago

Please help!

loris [4]

m∠B = 33° is the answer.

<u>Step-by-step explanation:</u>

If two triangles ΔABC and ΔMOP are similar, then their corresponding angles are congruent.

In any triangle, sum of the measure of the angles add up to 180°.

∠A+ ∠B+ ∠C = 180°

∠A ≅ ∠M

∠B ≅ ∠O

∠C ≅ ∠P

So we can add as,

∠A + ∠B+ ∠P = 180°

45° + ∠B + 102° = 180°

∠B + 147° = 180°

∠B = 180° - 147° = 33°

8 0

3 years ago

Please help asap

FromTheMoon [43]

Answer: $9

Step-by-step explanation:

10 percent of 9 or 90 broken into 10 parts is 9 also 90 divided by 10 is 9

3 0

3 years ago