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Irina-Kira [14]
4 years ago
15

How do i solve 512 = k^3 step by step ?

Mathematics
1 answer:
Vesnalui [34]4 years ago
8 0
Take the cube root of each side. k=8
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Which expression is equivalent to (5x^3)(4x)^3
sergij07 [2.7K]

Answer:

320x^{6}

Step-by-step explanation:

Using the rules of exponents

• (ab)^{n} ⇔ a^{n} b^{n}

• a^{m} × a^{n} ⇔ a^{(m+n)}

simplifying (4x)^{3} = 4³ × x³ = 64x³

(5x³) ×(4x)^{3}

= 5x³ × 64x³ = (5 × 64) × (x³ × x³) = 320x^{(3+3)} = 320x^{6}


5 0
3 years ago
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randall wants to mix 32 lb of nuts worth $2 per lb with some nuts worth $6 per lb to make a mixture worth $5 per lb. how many po
Alex Ar [27]

Answer: 96 pounds


Step-by-step explanation:

Let x be the number of pounds of $6 nut required .

then you know the weight of the resulting mixture = (x+32)

The total cost of the mixture= 5(x+32)

According to the question,

5(x+32)=32\times2+6x\\\Rightarrow\ 5x+160=64+6x\\\Rightarrow\ 6x-5x=160-64\\\Rightarrow\ x=96

Hence, Randall must use 96 pounds of $6 nuts.


8 0
3 years ago
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3. Find the mean of each group of numbers:
Sever21 [200]

Answer:

1. 27

2. 15

3. 58.4

4. 44.75

5. 40.725

6. 55.88

7.  2.6666666666667

4 0
3 years ago
I need help on this question
Setler79 [48]

if an arc measures 179 it would be a

Minor arc

6 0
3 years ago
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The height of males approximates a normal distribution. The average height of the players on an NBA team is 6.6 feet with a stan
lara [203]
D) 4.5 Standard Deviations Above the Mean

All you have to do is add .2 to 6.6 until you reach 7.5

6.8
7.0
7.2
7.4

 Then you only need half of .2 to reach 7.5, so it's 4.5 standard deviations above the mean
6 0
3 years ago
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