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Otrada [13]
2 years ago
13

What number goes in the box? 2 ^ ( ) = (2^7 ÷ 2^9)^3

Mathematics
1 answer:
navik [9.2K]2 years ago
4 0

Answer:

x=-6

Step-by-step explanation:

(\frac{2^{7}}{2^{9}})^{3} \\(\frac{128}{512})^{3} \\(\frac{1}{4})^{3}\\(\frac{1}{4})*(\frac{1}{4})*(\frac{1}{4})\\\frac{1*1*1}{4*4*4} \\\frac{1^{3} }{4^{3} } \\\frac{1}{64} \\2^{x}=\frac{1}{64}\\log 2^x=log\frac{1}{64}\\x*(log(2))=log\frac{1}{64}\\x=\frac{log\frac{1}{64}}{log(2)} \\x=-6

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What are the domain, range, and asymptote of h(x) = (0.5)^x -9
Gala2k [10]

Answer:

Domain- Interval Notation:

( − ∞ , ∞ )

Set-Builder Notation:

{ x | x ∈ R }

Range- Interval Notation:

( − 9 , ∞ )

Set-Builder Notation:

{ y | y > − 9 }

Step-by-step explanation:

Horizontal asymptote- y=-9

3 0
3 years ago
What is y=− 2/9 x+2 written in standard form?
quester [9]

Answer:

2x+9y=18

Step-by-step explanation:

Distribute the denominator

y=-2/9x+2

9y=-2x+2

9y+2x=2

im sorry if this is wrong

8 0
3 years ago
Tim spent $37.45 on groceries. On the way home, he wants to stop and pay cash for gas at $3.35 per gallon. If he started with $6
dalvyx [7]

Answer:

6.7

Step-by-step explanation:

60$-37.45=22.55

22.55/3.35=6.731

Which rounds to 6.7

5 0
2 years ago
How do i make 5x+2y=4 into the form of y=mx+b
malfutka [58]

First you minus 2y on both sides and you get: 5x=-2y+4. Then you minus 4 on both sides to get 5x-4=-2y which in turn is y (-2y) = mx (5x) + b (-4) : -2y=5x-4

6 0
2 years ago
What percent of 33 is 96
Nataly_w [17]
<span>96/x=100/33
(96/x)*x=(100/33)*x       - we multiply both sides of the equation by x
96=3.0303030303*x       - we divide both sides of the equation by (3.0303030303) to get x
96/3.0303030303=x 
31.68=x 
x=31.68

now we have: 
33% of 96=31.68

</span>
3 0
2 years ago
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