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maks197457 [2]
1 year ago
11

Please help me with algebra 2 questions!

Mathematics
1 answer:
Julli [10]1 year ago
7 0

Answer:

5B; 7B; 1,024; see answer

Step-by-step explanation:

5.

We can see from the table that

a1 = 5

a2= 5·2 = 10

a3= 5·2·2 = 5·2² = 20

a4 = 5·2·2·2 = 5·2³ = 40

...

a_{n} = 5*2^{n-1}

7.

Is given that the filter removes 90% of contaminated air

after run 1 :

100% air

90% contamination removed for 100% air

100% is 10%+10%+10%+10%+10%+10%+10%+10%+10%+10%

10% is still contaminated air

after run 2:

10% air

90% contamination removed for 10% air

10% is 1%+1%+1%+1%+1%+1%+1%+1%+1%+1%

1% is still contaminated air

after run 3:

1% air

90% contamination removed for 1% air

1% is .1%+.1%+.1%+.1%+.1%+.1%+.1%+.1%+.1%+.1%

<u>.1% is still contaminated air</u>

11.

Figure 1 = 1 piece

Figure 2 = 4 pieces

Figure 3 = 4² = 16

...

Figure 6 = 4^{(6-1)} = 4^{5} = 1024

12.

(c+d)^{6} \\

-we know that the coefficients should be 1, 6, 15, 20, 15, 6, 1

-we start with c to the lowest power 0 and d to the highest power 6  and end with  d to the lowest power 0 and c to the highest power 6

(c+d)^{6} = 1*c^{0} d^{6} +6*c^{1} d^{5} +15*c^{2} d^{4} +20*c^{3} d^{3} +15*c^{4} d^{2} +6*c^{5} d^{1} +1*c^{6} d^{0}

-we simplify to have the final answer:

(c+d)^{6 } = d^{6} +6cd^{5} +15c^{2} d^{4} +20c^{3} d^{3} +15c^{4} d^{2} +6c^{5} d+c^{6}

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Consider the following proposed proof by contradiction that for all positive integers n, 3n &gt; 2.
laila [671]

Answer:

The proof contains a simple direct proof, wrapped inside the unnecessary logical packaging of a proof by contradiction framework.

Step-by-step explanation:

The proof is rigourous and well written, so we discard the second answer.

This is not a fake proof by contradiction: it does not have any logical fallacies (circular arguments) or additional assumptions, like, for example, the "proof" of "All the horses are the same color". It is factually correct, but it can be rewritten as a direct proof.

A meaningful proof by contradiction depends strongly on the assumption that the statement to prove is false. In this argument, we only this assumption once, thus it is innecessary. Other proofs by contradiction, like the proof of "The square root of 2 is irrational" or Euclid's proof of the infinitude of primes, develop a longer argument based on the new assumption, but this proof doesn't.

To rewrite this without the superfluous framework, erase the parts "Suppose that the statement is false" and "The fact that the statement is true contradicts the assumption that the statement is false. Thus, the assumption that the statement was false must have been false. Thus, the statement is true."

7 0
3 years ago
Solve for x in the diagram below (picture included)
Sever21 [200]

Answer:

34

Step-by-step explanation:

We know the straight line is equal to 180°, and the three angles that make it are (x+12),100°, and x. We can use the equation 180=(x+12)+100+x to find x.

180=(x+12)+100+x

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5 0
3 years ago
Given that the triangles are similar how to find x
alexdok [17]
So if they are similar then just try to figure out which two sides correspond to each other from the first and then the second triangle.

See how in the above example I did 20 and 5 not 20 and 14 or 20 and 3.5 because they do not correspond with one another.

Then figure out, is x on the mama or baby shape and either multiply the number received from all proportions or divide.

Multiply : small to big ( # missing on the bigger one )

Divide : big to small ( # missing on the smaller one)

----------------------------------------------------------------------

I hope that helps you out!! Any more questions??

3 0
3 years ago
PLEASE HELP!!! WILL GIVE BRAINLIEST AND 20 POINTS!!!
BARSIC [14]
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4 0
3 years ago
Read 2 more answers
What are the solutions of 4x2 - 8x +5 = 0 ?
MrRissso [65]

Answer:

x= {2+ i}/2 , {2- i}/2 = C

Step-by-step explanation:

4x² - 8x +5 = 0

using quadratic formula

x= {-b±√b²-4ac}/2a

x= [-(-8)±√(-8)²-4(4)(5)] /2x4 = [8±√64-80]/8= [8±√-16]/8 = {8±4 i}/8

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4 divides 8

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6 0
3 years ago
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