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m_a_m_a [10]
4 years ago
13

Simplify. (−5p4z6u)3

Mathematics
1 answer:
sineoko [7]4 years ago
4 0
The rules of exponents tell you that you can distribute the exponent to each of the factors. When one already has an exponent, those exponents multiply.
(-5p^{4}z^{6}u)^{3}=(-5)^{3}\cdot(p^{4})^{3}\cdot(z^{6})^{3}\cdot u^{3}\\\\=-125p^{4\cdot 3}z^{6\cdot 3}u^{3}\\\\=-125p^{12}z^{18}u^{3}
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8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the comm
Ilya [14]

Answer:

a₁ = 38

Step-by-step explanation:

Given AP, where:

  • 8a₈ = 12a₁₂
  • d = -2,
  • a₁ = ?

=============

<h3>Solution</h3>

aₙ = a₁ + (n-1)d

  • a₈ = a₁ + 7d = a₁ + 7*(-2) = a₁ - 14
  • a₁₂ = a₁ + 11d = a₁ + 11*(-2) = a₁ - 22

8a₈ = 12a₁₂

  • 8(a₁ - 14) = 12(a₁ - 22)
  • 2(a₁ - 14) = 3(a₁ - 22)
  • 2a₁ - 28 = 3a₁ - 66
  • 3a₁ - 2a₁ = -28 + 66
  • a₁ = 38
6 0
3 years ago
At an output level of 50 units per day, a firm has average total costs of $60 and average variable costs of $35. Its total fixed
e-lub [12.9K]

Answer:

$ 1250

Step-by-step explanation:

output = 50 units per day

average total cost = $ 60

total cost = output × average total cost =50 × 60 = $ 3000

total variable cost = output × average variable cost = 35 × 50 = $ 1750

total cost = total fixed cost + total variable cost

total fixed cost = total cost - total variable cost = $ 3000 - $ 1750 = $ 1250

5 0
3 years ago
Ab+c=d whats it the answer
gtnhenbr [62]

Answer:

a=(d-c)/b

Step-by-step explanation:

Subtract c from both sides:

ab+c−c=d−c

∴ab=d−c

Divide both sides by b

ab/b=d−c/b

so the answer is...     a=(d-c)/b

8 0
3 years ago
.For a field trip, 6 students rode in cars and the rest filled 8 buses. How many students were in each bus if 326 students were
dem82 [27]

Answer:

(326-6) ÷ 8 = s

40 = s

Step-by-step explanation:

7 0
2 years ago
Anyone out there can solve this I will give 17 points!!!
vichka [17]

Answer:

D. K+2K=51

Step-by-step explanation:

Since Lauren is 2 times Kristy's age, Lauren's age=2K

so, if the sum of the two is 51, then 2K+K=51

If you want to solve it, 2K+K=3K=51

51/3=K

17=K

34=L

6 0
3 years ago
Read 2 more answers
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