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gogolik [260]
3 years ago
10

What is (4x - 3)^6 expanded

Mathematics
1 answer:
fenix001 [56]3 years ago
4 0

Expad the expression:

4096x^(6)-18432x^(5)+34560x^(4)-34560x^(3)+19440x^(2)-5832x-729

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Which number produces an irrational number when multiplied by 1/2
Ludmilka [50]

Quick answer

Any irrational number. I can't think of any exception to this statement.

sqrt(5) is irrational.  1/2 * sqrt(5) is still irrational.

-sqrt(5) is irrational. -1/2 * sqrt(5) is still irrational

2 + sqrt(5) is irrational. Multiplying this by 1/2 is still irrational.

1/2(2 + sqrt(5) = 1 + 1/2 * sqrt(5) ) is irrational.

Conclusion

There are no exceptions to this.  All irrational numbers produce irrationals when multiplied by 1/2

8 0
4 years ago
Kat is painting the edge of a triangular stage prop with reflective orange paint. The lengths of the edges of the triangle are (
nordsb [41]
First, let's convert X into 4

(3*4 - 4)ft,  (4*2 - 1)ft, (2*4*2 - 15)ft

Now lets simplify this a little

(12 - 4)ft, (8 - 1)ft, (16 - 15)ft

Awesome now lets finish up

8 x 9 x 1   /  2 = 36

The answer should be 36ft. Unless I did my math wrong.


8 0
4 years ago
What is the area of triangle UVW if the area of triangle RST is 36 cm and the scale
weeeeeb [17]

Answer:

  225 cm²

Step-by-step explanation:

The ratio of areas is the square of the scale factor.

  area UVW = (5/2)²·area RST = (25/4)(36 cm²) = 225 cm²

6 0
3 years ago
Two airplanes are flying to the same airport (6,12). Their positions are (2,4) and (15,9). Write a system of linear equations th
Elenna [48]
1 (877) 275-7673

Call this number i had the same question a few days ago and they helped me alot
4 0
3 years ago
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes
EleoNora [17]

Answer:

a) The probability that this whole shipment will be​ accepted is 30%.

b) Many of the shipments with this rate of defective aspirin tablets will be rejected.

Step-by-step explanation:

We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.

We select a sample of size 48 and test for defectives.

If more than one aspirin is defective, the batch is rejected.

The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48

We have to calculate the probabilities that X is equal or less than 1: P(X≤1).

P(X\leq1)=P(X=0)+P(X=1)\\\\\\P(0)=\binom{48}{0}(0.05)^0(0.95)^{48}=1*1*0.0853=0.0853\\\\\\P(1)=\binom{48}{1}(0.05)^1(0.95)^{47}=48*0.05*0.0897=0.2154\\\\\\P(X\eq1)=0.0853+0.2154=0.3007

3 0
4 years ago
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