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Otrada [13]
3 years ago
13

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

Mathematics
1 answer:
navik [9.2K]3 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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ICE Princess25 [194]
Use photo math it works very well!
7 0
3 years ago
Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v
blagie [28]
U = ( -8 , -8)
v = (-1 , 2 )
<span>the magnitude of vector projection of u onto v =
</span><span>dot product of u and v over the magnitude of v = (u . v )/ ll v ll
</span>
<span>ll v ll = √(-1² + 2²) = √5
</span>
u . v = ( -8 , -8) . ( -1 , 2) = -8*-1+2*-8 = -8 
∴ <span>(u . v )/ ll v ll = -8/√5</span>
∴ the vector projection of u onto v = [(u . v )/ ll v ll] * [<span>v/ ll v ll]
</span>
<span>                          = [-8/√5] * (-1,2)/√5 = ( 8/5 , -16/5 )
</span>
The other orthogonal component = u - ( 8/5 , -16/5 )
                                   = (-8 , -8 ) - <span> ( 8/5 , -16/5 ) = (-48/5 , -24/5 )
</span>
So, u <span>as a sum of two orthogonal vectors will be
</span>
u = ( 8/5 , -16/5 ) + <span>(-48/5 , -24/5 )</span>










3 0
3 years ago
Read 2 more answers
In which expression is the number 5 a factor?<br>A. z+5<br>B. z-5<br>C.5z<br>D.5/z​
LenaWriter [7]

The correct answer is: C.5z

Further explanation:

A factor is a number that is multiplied with a number

Let us look at the options one by one

<u>A. z+5</u>

5 is not a factor as it is being added to z.

<u>B. z-5</u>

5 is not a factor as it is being subtracted from z.

<u>C.5z</u>

5 is a factor as it is being multiplied with the z and can be separated easily

Hence,

The correct answer is: C.5z

Keywords: Factors, Multiple Choice

Learn more about factors at:

  • brainly.com/question/12884373
  • brainly.com/question/12896802

#LearnwithBrainly

4 0
3 years ago
I wanted to know if my answer is correct and if it isn't please correct it.
k0ka [10]

Answer:10

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

the answer will be 10

4 0
11 months ago
Read 2 more answers
Cengage Homework Trig/Pre-calc
iVinArrow [24]

Based on the populations of the town from 2000 to 2008, the average rate of change of the population between 2002 and 2004 is -6.1%

The average rate of change between 2002 and 2006 is -4.88%

<h3>What is the average rate of change?</h3>

The average rate of change can be found as:

=Change in population / Population in base year

The average rate of change in population between 2002 and 2004 is:

= (77 - 82) / 82

= -6.1%

The average rate of change in population between 2002 and 2006 is:

= (78 - 82) / 82

= -4.88%

Find out more on the average rate of change at brainly.com/question/23434598

#SPJ1

3 0
10 months ago
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