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Juliette [100K]
3 years ago
12

Expand each logarithm using the properties of logarithms.

Mathematics
1 answer:
lora16 [44]3 years ago
6 0
A.  = logb (3/7)^1/2
      = logb  3^1/2 - logb 7^1/2
      = 1/2(logb 3 - logb 7)

b.  =  log 7x^3 + log y^5
      = log 7 + log x^3 + log y^5
      = log 7 + 3 log x + 5 log y
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Please please find the area for this polygon!
zzz [600]

Answer:

508

Step-by-step explanation:

28*16= 448

6*6= 36

4*6= 24

448+36+24= 508

5 0
3 years ago
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mike, dave and john worked for a total of 56 hours. Dave worked 6 more than 4 times as many hours as mike. John worked 6 less th
Daniel [21]

Answer:

1. Dave worked for 34 hours.

2. Perimeter of the rectangle is 172 cm.

Step-by-step explanation:

1. Determination of the hours Dave worked.

Let D represent Dave.

Let M represent Mike.

Let J represent John.

Tota time worked by Dave, Mike and John is 56 hours. This can be written as:

D + M + J = 56 ..... (1)

Dave worked 6 more than 4 times as many hours as Mike. This can written as:

D = 6 + 4M .....(2)

John worked 6 less than 3 times as many hours as Mike. This can be written as:

J = 3M – 6 ........ (3)

Substituting the value of F and J into equation 1, we have:

D + M + J = 56

D = 6 + 4M

J = 3M – 6

6 + 4M + M + 3M – 6 = 56

6 – 6 + 4M + M + 3M = 56

8M = 56

Divide both side by 8

M = 56/8

M = 7

Substitute the value of M into equation (2) to obtain the value of D.

D = 6 + 4M

M = 7

D = 6 + 4(7)

D = 6 + 28

D = 34

Therefore, Dave worked for 34 hours .

2. Determination of the perimeter.

Length (L) = 64 cm

Width (W) = 22 cm

Perimeter (P) =?

P = 2(L + W)

P = 2 (64 + 22)

P = 2 (86)

P = 172 cm

Therefore, the perimeter of the rectangle is 172 cm

6 0
3 years ago
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Snezhnost [94]
3/4 times 2/2 is 6/8

3/4 = 6/8

To find the equivalent fracrion divide or multiply by the smae number to both the denominator and numerator that is equal to one (4/4; 5/5;67/67,etc.)
3 0
3 years ago
What is the answer for 1/3(16a-8)
zzz [600]
<span> 5  1/3a - 2  2/3

Have a wonderful day</span>
8 0
3 years ago
M-3/18=11/18 What is m??
SOVA2 [1]

Answer:

I think m is a variable

Step-by-step explanation:

because a variable is a letter representing a unknown amount

3 0
3 years ago
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