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Novay_Z [31]
3 years ago
10

Name the two subset(s) of real numbers to which the number -10 belongs

Mathematics
1 answer:
mash [69]3 years ago
3 0

Answer:

The positive and negative whole numbers are the Integers. Note that Natural numbers are a proper subset of the Integers which, in turn, is a proper subset of the Rationals. 45,368 is Natural, Whole, Integer, AND Rational.

Step-by-step explanation:

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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 600% written as a decimal?
Verdich [7]

Answer: 6

Step-by-step explanation: look it up

5 0
2 years ago
Read 2 more answers
PLEASE HELP ILL GIVE BRAINIEST AND POINTS ASAP
miskamm [114]

Answer:

$1161

Step-by-step explanation:

21.5% of 5400 is 1161.

6 0
2 years ago
AC = 16, AB = x + 1, and BC = x + 7. What is the measure of the length of AB? HELP
saveliy_v [14]

Answer:

5

Step-by-step explanation:

AC=AB+BC

so 16=x+1+x+7

which simplifies to 16=2x+8

subtract eight from both sides to get 8=2x

then divide by 2 to get that x=4

AB=x+1, which substitutes into 4+1=5

6 0
3 years ago
The yearbook club had a meeting. The meeting had 21 people, which is one-third of the club. How many people are in the club?
VladimirAG [237]

Answer:

63 because if 1/3 of the club is gone then we need to multiply 21 times 21 to find the total. Which is 63.

3 0
3 years ago
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