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Anestetic [448]
3 years ago
13

A 20-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at

8 meters per minute.
At a certain instant, the top of the ladder is 12 meters from the ground.
What is the rate of change of the distance between the bottom of the ladder and the wall at that instant (in meters per minute)?
Mathematics
1 answer:
lilavasa [31]3 years ago
8 0
12 I believe is the answer!!
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PLEASE HURRY Write the equation as a single logarithm 3log(x-2)+2log(x+2)
zubka84 [21]

Answer:

3\,log (x-2)+2\,log(x+2) can be written as the single logarithm:

log((x-2)^3\,(x+2)^2)

Step-by-step explanation:

Start by using in both terms of the expression the property of logarithm of a power that states:

log(a^b)=b\,*\,log(a)

so we recognize that the factor that multiplies each logarithmic expression, can be understood as the power of the argument of the function logarithm:

3\,log(x-2)=log((x-2)^3)\\and\\2\,log(x+2)=log((x+2)^2)

Then we use the property of logarithm of a product which states that:

log(a*b)=log(a)+log(b)

So now we recognize the expression:

log((x-2)^3)\,+\,log((x+2)^2)

as the logarithm of the product:

log((x-2)^3\,(x+2)^2)

which is finally a single logarithm as requested.

5 0
3 years ago
What is -3/5 simplified
Firdavs [7]

Answer:

\frac{-3}{5} or -0.6

Step-by-step explanation:

3/5 actually can't be simplified, so it will stay as \frac{-3}{5}

The decimal form is -0.6

5 0
4 years ago
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The ratio of boys to girls in a group is 5:3. If there are 24 more boys than girls, work out how many girls there are.
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Answer:

Hlo mate***!!!!!! here is ur ans.....

Answer is there are 40 girls in a class of 64 pupils.

Step-by-step explanation:

24 boys = 3: (So 8) a Ratio of 5 = 5x8 = 40, so Answer is there are 40 girls in a class of 64 pupils.

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5 0
3 years ago
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Musya8 [376]

Answer: y = 60

the value of y will be 60 when the value of x is 1.

Solution set = (1 , 60)

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8 0
2 years ago
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GuDViN [60]

Answer:

4/5>3/4

Step-by-step explanation:

4/5=0.8

3/4=0.75

4/5 is grater than 3/4 by 0.5

I hope this helps!

6 0
3 years ago
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