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Lapatulllka [165]
3 years ago
14

Express each expression as a single logarithm.​

Mathematics
1 answer:
andreev551 [17]3 years ago
8 0

Answer:

1. 6

2. 23

Step-by-step explanation:

1.

logx+1 ( x^2 + 2x + 1)^3

= 3logx+1  ( x^2 + 2x + 1)

= 3 logx+1 (x + 1)^2

= 6 logx+1 (x + 1)  Now the logx+1 x+1 = 1  so

The answer is 6.

2.

log11 11^23

= 23 log11  11

As in question 1 log11 11 = 1

So the answer is 23.

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Can someone smart help me with this question plz:)
SOVA2 [1]

Answer:

K = 50

L = 90

KML = 40

LMN = 140

Step-by-step explanation:

The sum of the angles in a triangle will always be 180 degrees, and in the triangle pictured, we know the value of each angle. We can say that

5x + 4x + 9x = 180

18x = 180

x = 10

Now that we know the value of x, we can figure out the value of the angles.

K = 5x = 50

L = 9x = 90

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A straight line is 180 degrees, so to find angle KMN, you have to subtract KML (4x) from 180

180 - 4x = 180 - 40 = 140

3 0
3 years ago
AC if TC = 20q + 10q^2?
Alexus [3.1K]

Answer:

AC = (20+ 10q)

Step-by-step explanation:

Given that,

Total cost, TC = 20q + 10q²

We need to find AC i.e. average cost.

It can be solved as follows :

AC=\dfrac{TC}{q}\\\\AC=\dfrac{20q + 10q^2}{q}\\\\AC=\dfrac{q(20+ 10q)}{q}\\\\AC={(20+ 10q)}

So, the value of AC is (20+ 10q).

4 0
3 years ago
Danny has 48 baseball cards in his collection. He would like to give 3/4 of them to his little brother. How many should he give
MAXImum [283]

It would be: 48 * 3/4 = 36

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Answer:

Step-by-step explanation:

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3 years ago
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please see the attached picture for full solution

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3 years ago
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