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Tanya [424]
3 years ago
8

If log a=3 log b-2 log c, find an expression for a that does not involve logarithms​

Mathematics
1 answer:
photoshop1234 [79]3 years ago
7 0

Assuming that b>0 and c>0:

log(a)=3×log(b)-2×log(c)=

log(b³)-log(c²)=

log(b³/c²)

Hence a=b³/c²

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Help me with the part b!
ra1l [238]
Average speed =   (distance final - distance initial)/(time final - time initial)
Average speed = (30-0)km /(100 -0)min = 3/10 km/min

3/10 km/min *60 min/1 h = 180/10 km/h= 18 km/h
7 0
3 years ago
Use the distributive property and combine like terms to simplify: u(v−10)
siniylev [52]

Answer:

uv - 10u

Step-by-step explanation:

To distribute a problem, you have to multiply what is on the outside of the parenthesis with what is on the inside.

u · v = uv

u · -10 = -10u

Combined, u(v - 10) = uv - 10u.

6 0
3 years ago
Please help!<br> Simplify the expression using order of operations:25 - 5 + 36/9 - 6(7)
fgiga [73]

Answer:

-18

Step-by-step explanation:

Follow these steps to get your answer!

Divide 36/9 and multiply -6(7)

25 - 5 + 4 - 42

Subtract 25-5

20 + 4 -42

Add 4 to 20.

24-42

Subtract 42 from 24.

-18

4 0
3 years ago
Read 2 more answers
Find the volume of this composite figure and explain how you got your answer
Damm [24]
To solve this, we work out the volume of the two shapes (the cuboid and the pyramid) and then add them together.

We get the volume of the cuboid by multiplying the base by the width by the length:

Volume of cuboid = 6 x 6 x 4 

                               = 144m³

Now to get the volume of the pyramid, we multiply the base by the length by the height, and then we divide by three.

Volume of pyramid = 6 x 6 x 8 
÷ 3
                                    = 96m³
-------------------------------------------------------------------------------------------------------------
Answer:
Now that we know the two volumes, we simply add them together:

144 + 96 = 240m³

So the volume of the composite sold is 240m³

7 0
3 years ago
You leave a pile of sand in your backyard on a windy day. Every minute the wind blows away 10 percent of the remaining sand. You
Grace [21]

Answer:

  1. 10% of the remaining sand
  2. You had 5 ft of sand
  3. So y=5(.10(x))
8 0
3 years ago
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