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Dahasolnce [82]
2 years ago
11

Please help me with these two questions I hate math

Mathematics
1 answer:
Aleksandr [31]2 years ago
6 0

Answer:

18. b

19. b

Step-by-step explanation:

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Express the given quantity as a single logarithm. ln x + a ln y − b ln z
professor190 [17]
The rules of logarithms tell you ...
• \ln(a)+\ln(b)=\ln(a \cdot b)
• a \cdot \ln(b)=\ln(b^{a})

\ln(x)+a \cdot \ln(y)-b \cdot \ln(z)=\ln\left( \dfrac{x \cdot y^{a}}{z^{b}} \right)
6 0
2 years ago
A) Find a recurrence relation for the number of bit strings of length n that contain a pair of consecutive 0s.
Fed [463]

Answer:

A) a_{n} = a_{n-1} + a_{n-2} + 2^{n-2}

B) a_{0} = a_{1} = 0

C)   for n = 2

  a_{2} = 1

for n = 3

 a_{3} = 3

for n = 4

a_{4} = 8

for n = 5

a_{5} = 19

Step-by-step explanation:

A) A recurrence relation for the number of bit strings of length n that contain a  pair of consecutive Os can be represented below

if a string (n ) ends with 00 for n-2 positions there are a pair of  consecutive Os therefore there will be : 2^{n-2} strings

therefore for n ≥ 2

The recurrence relation for the number of bit strings of length 'n' that contains consecutive Os

a_{n} = a_{n-1} + a_{n-2} + 2^{n-2}

b ) The initial conditions

The initial conditions are : a_{0} = a_{1} = 0

C) The number of bit strings of length seven containing two consecutive 0s

here we apply the re occurrence relation and the initial conditions

a_{n} = a_{n-1} + a_{n-2} + 2^{n-2}

for n = 2

  a_{2} = 1

for n = 3

 a_{3} = 3

for n = 4

a_{4} = 8

for n = 5

a_{5} = 19

7 0
3 years ago
Thoko deposited R300 every month into savings account from january 31,2020 until January 2022.How many.How many R300's did Thoko
Semenov [28]

Answer:

25

Step-by-step explanation:

12 months in a year

From 31 January 2020 to 31 December 2020 = 12 months

From 31 January 2021 to 31 December 2021= 12 months

include final January = 1 month

12+12+1=25

8 0
2 years ago
What is the volume of a rectangular cube that has 5yd, 3yd and another 3yd
iVinArrow [24]

Answer:45cm³

Step-by-step explanation:

Volume=l×b×h

5×3×3=45

3 0
2 years ago
C is inversely proportional to d.<br> c=0.5 when d=6<br> Find a formula for c in terms of d.
algol [13]

I think this is the answer!

c=3/d

8 0
3 years ago
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