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3 years ago

-6, 12 ,-24 ,48 what would be the next term in this sequence (help ASAP please )

Mathematics

1 answer:

patriot [66]3 years ago

3 0

The next term would be -96 ! your just adding the term twice and alternating it by making it a negative and a positive

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Let log_(b)A=3; log_(b)C=2; log_(b)D=5 what is the value of log_(b)((A^(5)C^(2))/(D^(6)))

Colt1911 [192]

Answer:

-11

Step-by-step explanation:

Given

$\log_bA=3\\ \\\log_bC=2\\ \\\log_bD=5$

Use properties:

$\log_b(A\cdot C)=\log_bA+\log_bC\\ \\\log_b\dfrac{A}{C}=\log_bA-\log_bC\\ \\\log_bA^k=k\log_bA$

Thus,

$\log_b\dfrac{A^5\cdot C^2}{D^6}\\ \\=\log_b(A^5\cdot C^2)-\log_bD^6\\ \\=\log_bA^5+\log_bC^2-\log_bD^6\\ \\=5\log_bA+2\log_bC-6\log_bD\\ \\=5\cdot 3+2\cdot 2-6\cdot 5\\ \\=15+4-30\\ \\=-11$

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2 years ago

Two workers paint lines for angled parking spaces. One worker paints a line so that m∠1=65. The other worker paints a line so th

scoundrel [369]

The image of the car park showing the 2 angles is attached.

Answer:

Their lines are parallel.

Step-by-step explanation:

From the attached image, we can see that ∠1 and ∠2 form a pair of alternate exterior angles. Thus; ∠1 = ∠2.

Now since they are congruent, it means that their lines will be parallel.

Thus, we can conclude that their lines are parallel.

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3 years ago

Solve these liner inequalities 2(x+1)>3(x-8)

raketka [301]

The answer for that problem is X<26

4 0

2 years ago

Find the area of this question

oee [108]

The answer to this question whould be that the area is 20

7 0

3 years ago

14 more than 6 times a number is<br> greater than or equal to 28

Studentka2010 [4]

Answer:

6x + 14 ≥ 28

Step-by-step explanation:

6 times a number (6x)

14 more than (so, add 14 to 6x)

greater than or equal to, so this symbol ≥

= 6x + 14 ≥ 28

SOLVED:

6x≥14

x≥2.333333333333333

4 0

2 years ago