3 years ago

Subtract six from a number cubed

Mathematics

1 answer:

Shkiper50 [21]3 years ago

4 0

Answer:

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(1/4)^3z-1 =16^z+2*64^z-2 Z=___ Please help

wariber [46]

Answer:

Z = 0.198877274

Step-by-step explanation:

$(\frac{1}{4})^{3z-1} = 16^z + 2*16^{z-2}\\4^{1-3z} = 4^{2z} + 4^{\frac{1}{2}}*4^{2z-4}\\4^{1-3z} = 4^{2z} + 4^{2z-4+\frac{1}{2}}\\4^{1-3z} = 4^{2z} + 4^{2z-\frac{7}{2}}\\4^{1-3z} = 4^{2z} *(1+ 4^{-\frac{7}{2}})\\4^{1-3z} = 4^{2z} *(1+ 2^{-7})\\4^{1-3z} = 4^{2z} *(1+ \frac{1}{128} )\\4^{1-3z} = 4^{2z} *(\frac{129}{128} )\\Taking\;\; Logarithm\;\; with\;\; base\;\; 4\\Log_4(4^{1-3z}) = Log_4(4^{2z}) + Log_4(\frac{129}{128})\\1-3z = 2z + 0.005613627712 \\5z = 0.994386372\\z = 0.198877274$

Hence, the value of Z = 0.198877274

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3 years ago

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Marina CMI [18]

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3 years ago

How many significant figures are in the number 12.001?

kramer

There are five significant figures in 12.001

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4 years ago

A video company charges a yearly membership fee plus a daily rental charge for a movie. The cost c, if renting a movie for a cer

elena-14-01-66 [18.8K]

Answer:

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Step-by-step explanation:

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3 years ago

What is the value of x? 64 68 (8x -12) (2x + 18)

tamaranim1 [39]

(8x - 12) + 64 + 68 = 180
(A straight line equals to 180)
8x - 12 + 132 = 180
Combine liked terms
8x + 120 = 180
-120 on both sides
8x = 40
/8 on both sides
x = 5

(8x - 12)
8(5) - 12
40 - 12
28

(2x + 18)
2(5) + 18
10 + 18
28

Answer:
x = 5

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3 years ago