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4 years ago

Answer question 12.Show your work.

Mathematics

2 answers:

Bumek [7]4 years ago

7 0

Answer:

315 miles

Step-by-step explanation:

450 (total miles) x (since they said "of", you multiple) 70% (amount completed) gives you 315 miles.

Elza [17]4 years ago

3 0

Answer:

So all they asking is 70% of 450mls

70/100 × 450

0.70 × 450

315

So they have travelled 315 miles

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Factor completely. 16n^6+40n^3+25

Andru [333]

Answer:Step 1 :

Equation at the end of step 1 :

((16 • (n6)) + (23•5n3)) + 25

Step 2 :

Equation at the end of step 2 :

(24n6 + (23•5n3)) + 25

Step 3 :

Trying to factor by splitting the middle term

3.1 Factoring 16n6+40n3+25

The first term is, 16n6 its coefficient is 16 .

The middle term is, +40n3 its coefficient is 40 .

The last term, "the constant", is +25

Step-1 : Multiply the coefficient of the first term by the constant 16 • 25 = 400

Step-2 : Find two factors of 400 whose sum equals the coefficient of the middle term, which is 40 .

-400 + -1 = -401

-200 + -2 = -202

-100 + -4 = -104

-80 + -5 = -85

-50 + -8 = -58

-40 + -10 = -50

-25 + -16 = -41

-20 + -20 = -40

-16 + -25 = -41

-10 + -40 = -50

-8 + -50 = -58

-5 + -80 = -85

-4 + -100 = -104

-2 + -200 = -202

-1 + -400 = -401

1 + 400 = 401

2 + 200 = 202

4 + 100 = 104

5 + 80 = 85

8 + 50 = 58

10 + 40 = 50

16 + 25 = 41

20 + 20 = 40 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 20 and 20

16n6 + 20n3 + 20n3 + 25

Step-4 : Add up the first 2 terms, pulling out like factors :

4n3 • (4n3+5)

Add up the last 2 terms, pulling out common factors :

5 • (4n3+5)

Step-5 : Add up the four terms of step 4 :

(4n3+5) • (4n3+5)

Which is the desired factorization

Trying to factor as a Sum of Cubes :

3.2 Factoring: 4n3+5

Theory : A sum of two perfect cubes, a3 + b3 can be factored into :

(a+b) • (a2-ab+b2)

Proof : (a+b) • (a2-ab+b2) =

a3-a2b+ab2+ba2-b2a+b3 =

a3+(a2b-ba2)+(ab2-b2a)+b3=

a3+0+0+b3=

a3+b3

Check : 4 is not a cube !!

Step-by-step explanation: I believe that is the answer because i got it right.

6 0

3 years ago

Read 2 more answers

A batch of 580 containers for frozen orange juice contains 8 that are defective. Two are selected, at random, without replacemen

serious [3.7K]

Answer:

a. 0.12109

b. 0.0001668

c .0.9726

d. 0.01038

e. 0.01211

f. 0.000001731

Step-by-step explanation:

Sample size = 580

Defective units = 8

Number of picks = 2

a) If the first container is defective, there 7 defective containers left in a population of 579. The probability of selecting a defective one is:

$P=\frac{7}{579}=0.121$

b) The probability that both are defective is given by:

$P=\frac{8}{580}*\frac{7}{579}= 0.000167$

c) The probability that both are acceptable is given by:

$P=\frac{580-8}{580}*\frac{579-8}{579}= 0.9726$

d) In this case, two defective units were removed from the batch, the probability that the third is also defective is:

$P=\frac{6}{578}}= 0.0104$

e) In this case, one acceptable and one defective unit were removed from the batch, the probability that the third is also defective is:

$P=\frac{7}{578}= 0.01211$

f) The probability that all three are defective is given by:

$P=\frac{8}{580}*\frac{7}{579}*\frac{6}{578} = 0.000001731$

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3 years ago

If 3t=5t-8 evaluate -4t+5

Sergio [31]

3t = 5t - 8

-2t = -8

t = 4

Now put that into -4t + 5:

-4t + 5

-4(4) + 5

-16 + 5

-11

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

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4 years ago

Mr. Dash recorded the odometer

Charra [1.4K]

Mr. Dash is reimbursed $47.69.

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3 years ago

Find the slope A. 1/2 B. -1/2 C. -2 D. 2

Andreyy89

The answer is B. -1/2
down 1 (-1)
right 2

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3 years ago

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