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3 years ago

Write as a single logarithm (show steps)

Mathematics

1 answer:

Effectus [21]3 years ago

7 0

1/3 log 125 can be rewritten as (1/3) log 5^3 = log 5

Similarly, 1/3 log 8 can be re-written as 1/3 log 2^3, same as (1/3)(3 log 2)= log 2

Thus, the fraction can be written in simpified form as log 5 / log 2.

The second term is the same as log m^5.

Thus, your final result is (log 5) / (log 2) + log m^5.

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Does anyone know the answer to this

iVinArrow [24]

The answer is A hehe

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3 years ago

You have two lines. Line A measures 12/16, and line B measures 3/4.

hram777 [196]

Answer:

Step-by-step explanation:

Let's compare the two values of 12/16 and 3/4.

Notice that 12/16 isn't a simplified fraction; both the numerator and denominator are divisible by 4. So divide the top and bottom by 4:

12 / 4 = 3

16 / 4 = 4

We are left with:

12/16 = 3/4

Now, we see that Line A and Line B are equal in length, so the answer is B.

~ an aesthetics lover

8 0

3 years ago

Read 2 more answers

Write a word problem that you can solve by multiplying a mixed number y a whole number.Include a solution

Elanso [62]

3
- x 6 = 4
4

Mary has 6 cakes, she gives 3/4 of the cakes away. How many cakes does Mary have?

6 0

3 years ago

You spend $20 total on tubes of paint and disposable brushes for an art project. Tubes of paint cost $4.00 each and paintbrushes

hram777 [196]

You are buying 2 items so let's use two different variables to represent each:
p = number of tubes of paint
b = number of disposable brushes
cost = price per item × number of items
Equations from information given:
4p + 0.50b = 20 ← from the first 2 sentences
2p = b ← if there are twice as many brushes as paint tubes you need 2 times paint tubes to equal number of brushes
Solve the problem by using substitution... 1b equals 2p so replace b with that:
4p + 0.50(2p) = 20
4p + 1p = 20 ← 0.50 is half so half of 2p is 1p
5p = 20 ← combine like terms
p = 4 ← divide both sides of the equation by 5
Recall the equation 2p = b replace p with 4
2(4) = b
8 = b
ANSWER:
You purchased 4 tubes of paint and 8 disposable brushes.

8 0

2 years ago

What shape is created by the rotation and what is the

zlopas [31]

Answer:

Option D: A cylinder with a circumference of about 50 units

Step-by-step explanation:

The rest of the question is the attached figure.

The square shown has a perimeter of 32 units. The square is rotated about line k. What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πr

===================================================

Given: the perimeter of the square = 32

perimeter of a square is four times the length of its side

So, the side length of square = 32/4 = 8 units

The square is rotated about line k.

So, it will form a cylinder with radius 8 units.

Circumference of a circle = 2 π r

Where, r is the radius of the circle.

Circumference of the base is C = 2 π * 8

∴ C = 16π = 16 * 3.14

∴ C = 50.26548 ≈ 50

The shape is created by the rotation is a cylinder with a circumference of about 50 units.

So, the answer option is D.

4 0

2 years ago