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Darina [25.2K]
3 years ago
13

Find the value of x , if log₂ [log₅ (log₃x)] = 0

Mathematics
1 answer:
Lina20 [59]3 years ago
3 0
\log_2 (\log_5( \log_3x)) = 0\\
D:x>0 \wedge \log_3x>0 \wedge \log_5(\log_3x)>0\\
D:x>0\wedge x>1 \wedge\log_3x>1\\
D:x>1 \wedge x>3\\
D:x>3\\
\log_5(\log_3x)=1\\
\log_3x=5\\
x=3^5\\
x=243
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A building is 120 meters tall. A scale model of the building uses a scale of 1 centimeter = 6 meters. How tall is the model?
Harlamova29_29 [7]

Answer:

20 cm

Step-by-step explanation:

If the scale says that the building uses the scale or 1 cm: 6 meters. You pretty much just take 120 and divide by 6. You take that answer and turn the units in cm.  

3 0
4 years ago
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3 years ago
One month ruby wokred 6 more hours than isaac and svetlana worked 4 times as many as ruby they together worked 126 hours how man
jok3333 [9.3K]
R + R - 6 + 4R = 126
6R - 6 = 126
6R = 126 + 6
6R = 132
R = 132/6
R = 22 (hours Ruby worked)
I = R - 6
I = 22 - 6
I = 16 (hours Isaac worked)
S = 4R
S = 4(22)
S = 88 (hours Svetlana worked)

Finally, let's check our three answers to see if their sum is 126 (the given total of hours worked):
22 + 16 + 88 = 38 + 88 = 126


8 0
3 years ago
Determine whether this pair of lines is parellel, perpendicular, or neither 6+2x=3y 3x+2y=9 Choose the correct answer below. A.
andriy [413]

Answer:

Option A. These two lines are perpendicular

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are equal

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

step 1

Convert the given equation A in slope intercept form

y=mx+b

where

m is the slope

b is the y-intercept

we have

6+2x=3y ----> equation A

Solve for y

That means----> isolate the variable y

Divide by 3 both sides

y=\frac{2}{3}x+2

so

m_A=\frac{2}{3}

step 2

Convert the given equation B in slope intercept form

y=mx+b

where

m is the slope

b is the y-intercept

we have

3x+2y=9 ----> equation B

Solve for y

That means----> isolate the variable y

subtract 3x both sides

2y=-3x+9

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y=-\frac{3}{2}x+4.6

so

m_B=-\frac{3}{2}

step 3

Compare the slopes

m_A=\frac{2}{3}

m_B=-\frac{3}{2}

The slopes are opposite reciprocal (the product is equal to -1)

therefore

These two lines are perpendicular

3 0
4 years ago
Rank the vector combinations on the basis of their angle, measured counterclockwise from the positive x axis. vectors parallel t
Charra [1.4K]
The correct answer for this question is this one:

<span>
1- have an angle of 0∘ .
</span>2- vectors parallel to the positive x axis<span>
3- all angle measures fall between 0∘ and 360∘.</span>
Hope this helps answer your question and have a nice day ahead.
8 0
4 years ago
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