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3 years ago

5

What is my number my number is a perfect square the only prime number in it prime factorization is 2 my number is a factor of 32

the sum of its digits is odd?

1 answer:

WITCHER [35]3 years ago

4 0

Nmkndj;n;bnjngfndjknh;rtnh 216g6n
543646245mh.nrkjhgjn.kjgnrjkbuhjtbyultkngu;njktnj totm,my fotrtunanhioubgrviuebglryrhntonm my forytunabjvfdjkfvghyulbfwqlcbherovbegiunj gtjgbasyhj.bsf.fjkbgilhbjbhfljbvhuj

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If a central angle and an inscribed angle intercept the same arc are they congruent?

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No, the inscribed angle is simply half the central angle

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What is the mean of the following data values 53,71, 89,10,87

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3 years ago

Read 2 more answers

Find an m > 0 such that the the equation x^4−(3m+2)x^2+m^2=0 has four real solutions that form an arithmetic sequence.

Aleonysh [2.5K]

Answer:

The value of m is 6.

Step-by-step explanation:

Here, the given equation,

$x^4-(3m+2)x^2+m^2=0$

$x^4+0x^3-(3m+2)x^2+0x+m^2=0$

Let the roots of the equation are a-3b, a-b, a+b and a + 3b, ( they must be form an AP )

Thus, we can write,

$a-3b+a-b+a+b+a+3b=\frac{\text{coefficient of }x^3}{\text{coefficient of }x^4}$

$=\frac{0}{1}=0$

$\implies a=0----(1)$

$(-3b)(-b)+(-b)(b)+(b)(3b)+(3b)(-3b)+(-b)(3b)+(-3b)(b)=\frac{\text{coefficient of }x^2}{\text{coefficient of }x^4}}$

$=\frac{-3m-2}{1}$

$3b^2-b^2+3b^2-9b^2-3b^2-3b^2=-3m-2$

$-10b^2=-3m-2$

$\implies b^2=\frac{3m+2}{10}-----(2)$

$(-3b)(-b)(b)(3b)=\frac{\text{Constant term}}{\text{coefficient of}x^4}= m^2$

$9b^4=m^2$

$9(\frac{3m+2}{10})^2=m^2$

$9(\frac{9m^2+4+12m}{100})=m^2$

$81m^2+36+108m=100m^2$

$-19m^2+108m+36=0$

$19m^2-108m-36=0$

$19m^2-114m+6m-36=0$

$19m(m-6)+6(m-6)=0$

$(19m+6)(m-6)=0$

$\implies m=-\frac{6}{19}\text{ or }m=6$

But m > 0,

Hence, the value of m is 6.

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3 years ago

A pharmaceutical company decided to manufacture new food supplement pills. It will need to add some vitamins to the mix. It deci

WINSTONCH [101]

Answer:

Minimize: Cost = 40X+35Y

Subject to: 2X + 2Y ≥ 12

5X + 3Y ≥ 15

Step-by-step explanation:

To formulate a linear programming model we need to identify the variables of decision, the objective functions and the constraints.

So, the variables of decision are the quantity of every vitamin mix and we are going to call:

X: The quantity of vitamin mix 1

Y: The quantity of vitamin mix 2

Our objective function is going to be minimize the cost of the both mixes, so, the objective function is:

Minimize Cost = 40X + 35Y

Because vitamin mix 1 cost $40 and vitamin mix 2 cost $35

Finally, the constraints are defined by the following sentence: both mixes have to contain at least 12 units of vitamin B and 15 of vitamin C. Ot means that we have a constraint for vitamin B and a constraint for vitamin C.

Then if Vitamin mix 1 contains 2 units of vitamin B and vitamin mix 2 contain 2 units of vitamin B, the constraint associated to vitamin B is:

2X + 2Y ≥ 12

And, if Vitamin mix 1 contains 5 units of vitamin C and vitamin mix 2 contain 3 units of vitamin C, The constraint associated to vitamin C is:

5X + 3Y ≥ 15

So, the linear programing model is:

Minimize: Cost = 40X+35Y

Subject to: 2X + 2Y ≥ 12

5X + 3Y ≥ 15

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Answer:

Financial literacy is important because it equips us with the knowledge and skills we need to manage money effectively. Without it

Step-by-step explanation:

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