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slava [35]
3 years ago
5

What is the value of x in the equation log(x+2) - log(x-1) = log 2​

Mathematics
1 answer:
pentagon [3]3 years ago
5 0

Step-by-step explanation:

log(x+2)-log(x-1)=log2

log(x+2)/(x-1)=log2

=> (x+2)=2(x-1)

=>x+2 =2x-2

=> x=4

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The Venn diagram shows all of the elements in sets A, B and ξ. Find the elements in (A ∩ B) U (A U B)’
marusya05 [52]

This is impossible to answer without knowing what the sets A and B contain (and what ξ even refers to - universal set?).

However, we have

(A U B)' = A' ∩ B'

so that

(A ∩ B) U (A U B)' = (A ∩ B) U (A' ∩ B') = (A U A') ∩ (B U B')

If ξ is indeed the universal set, then both A U A' = ξ and B U B' = ξ, so we end up with ξ ∩ ξ = ξ.

8 0
2 years ago
A department store has a discount box of cell phone cases. In the box are 10 leather cases, 12 protective plastic cases, and 6 f
Kisachek [45]
28 cell phone cases in all. 
6 of the 28 cases are fabric. 

6/28 simplified to 3/14 

So the answer to your question would be 3/14

Hope this helps! :) 
7 0
3 years ago
Read 2 more answers
The area of a rectangular wall of a barn is 48 square feet. Its length is 4 feet longer than twice its width. Find the length an
Aleks [24]
Answer
Length: 12 feet Width:4
Explanation
To get the area of a rectangle you times the length by the width
It says the length of the wall is 4 feet longer than TWICE it’s width since 12 times 4 is 48 and 12 is twice the amount of 4 plus 4 feet it fits the requirements of this question
3 0
2 years ago
Hi! Does any one know how to do proportions? If so can you please help me out with these 2 problems? please show work on how you
Nataly [62]
Answers:

1.) 18 lemons
2.) 80 minutes

Explanation:

Porportions are a lot like fractions. For the first question, you can make the fraction 6/8, or 3/4 simplified. This means that for every 8 cups of water, you need 6 lemons.

Then, to find the amount of lemons you need if you have 24 cups of water, you need to think about what×8= 24. If we divide 24 by 8, we get 3, so if we multiply our fraction by 3/3, we should get the answer.

If we do 6/8 × 3/3, we get 18/24. This means that we need 18 lemons if we were to use 24 cups of water.

For the next question, our fraction 15/60, for 15 cakes baked in 60 minutes. Now we need to divide 20 cakes by 15.

This question is a little different from the first one because there will be a decimal involved. If we do 20/15, we get 1⅓. This means that this time, we will multiply 15/60 by (1⅓)/(1⅓).

If we multiply 60 by 1⅓, we get 80, which is the number of minutes needed to bake 20 cakes.

Hope this helps :)
6 0
3 years ago
Help me with the questions in the image
aliya0001 [1]

Answer:

12

96

9

38

25

Step-by-step explanation:

<h3>i.a+7 for a=5</h3>

5+7=12

<h3>ii.8(c+3) for c =9</h3>

8(9+3)

8(12)

96

<h3>iii.n+8 divided by 4 for n=28</h3>

=28+8 divided by 4

=36 divided by 4

=9

<h3>iv.6p+40 divided by 5 for p =5</h3>

=6×5+40 divided by 5

=30+40 divided by 5

=70 divided by 5

=38

<h3>v.3x+7 for x=6</h3>

=3×6+7

=18+7

=25

5 0
3 years ago
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