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vesna_86 [32]
2 years ago
11

Evaluate log12y2, given log12y = 16. 4 32 256 65,536

Mathematics
2 answers:
Ann [662]2 years ago
8 0
32 or 256 i didn’t understand exactly what you asked
Nostrana [21]2 years ago
4 0

The value of log₁₂ y² will be : 32

Explanation


log₁₂ y²

According to the property of logarithm, if there is any exponent in the number of log, then we can just take out that exponent part to the front of the log, like: log (a)ᵇ = b × log (a)

Here, the exponent in the number of log is 2. So, according to the above property, we will get: 2 log₁₂ y

Now, the value of log₁₂ y is given as 16. So,

2 log₁₂ y

⇒ 2 (16) = 32



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Hope this helps!
6 0
2 years ago
What is 12,430,000 in expanded form
kotykmax [81]
I'm not sure exactly which type you are meaning since there are four types of expansions, but depending on which specific type here are your answers! :)

7 0
1 year ago
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Of the 400 eighth-graders at pascal middle school, 117 take algebra, 109 take advanced computer, and 114 take industrial technol
Hatshy [7]

If 164 of the 400 eighth-graders take none of these courses, then 400-164=236 students take some courses.

Let x students take all three courses, then:

1. 70-x take only both algebra and advanced computer,

2. 34-x take only both algebra and industrial technology,

3. 29-x take only both advanced computer and industrial technology.

Now let's count how many student take only one course:

1. 117-(x+34-x+70-x)=13+x take algebra,

2. 109-(x+29-x+70-x)=10+x take advanced computer,

3. 114-(x+29-x+34-x)=51+x take industrial technology.

Now count all students that take some courses:

51+x+10+x+13+x+29-x+34-x+70-x+x=236,

x=236-51-10-13-29-34-70,

x=29.

Answer: all three courses take 29 students.

6 0
2 years ago
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5.
andrew-mc [135]

Answer:

The  angle of depression from Platform A to Platform B is 43.1^{\circ}

Step-by-step explanation:

Refer the attached figure

The horizontal distance between the  platforms is 500 feet i.e. BC = 500

The length of the zip-line is 685 feet i.e. AB = 685

We are supposed to find the  angle of depression from Platform A to Platform B

Hypotenuse = 685

Base = 500

Cos \theta = \frac{Base}{Hypotenuse}\\Cos \theta = \frac{500}{685}\\\theta = cos^{-1}(\frac{500}{685})\\\theta = 43.11^{\circ}

Hence  the  angle of depression from Platform A to Platform B is 43.1^{\circ}

4 0
2 years ago
Korey’s comic book store has been up and running for 4 years. Korey feels that his store has been successful and is considering
Inessa05 [86]
Year      Net Profit
1            <span>$14,250.00
2            $15,390.00
3            $16,621.20
4            $17,950.90</span>2

We need to get the increase of the net profit of the current year from the previous year.

Percentage increase = (Current year - Previous Year)/ Previous Year    * 100%

Year 2:  (15,390 - 14, 250) / 14,250   * 100% = 0.08 * 100% = 8%
Year 3: (16,621.20 - 15,390) / 15,390 * 100% = 0.08 * 100% = 8%
Year 4: (17,950.90 - 16,621.20) / 16,621.20 * 100% = 0.08 * 100% = 8%

Every year the net income increases by 8%. So, the net income in Year 5 will be:

17,950.90 x 1.08 = 19,386.97  Choice D.

8 0
2 years ago
Read 2 more answers
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