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12345 [234]
4 years ago
11

2log4(x)-log4(x-1)=1 can anyone please help me with the process of this logarithm

Mathematics
1 answer:
Semmy [17]4 years ago
8 0

<span>Pleae, see attached jpg file</span>

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Fraction<br><img src="https://tex.z-dn.net/?f=%20-%206%20%5Cdiv%20%20%5Cfrac%7B4%7D%7B5%7D%20" id="TexFormula1" title=" - 6 \div
otez555 [7]

-6\div\dfrac{4}{5}=-\dfrac{\not6^3}{1}\cdot\dfrac{5}{\not4_2}=-\dfrac{3}{1}\cdot\dfrac{5}{2}=-\dfrac{15}{2}=-7\dfrac{1}{2}

8 0
3 years ago
Matthew is half as old as Alan. If the sum of their ages is 54, find their ages.
kompoz [17]

Answer:

26

Step-by-step explanation:

5 0
3 years ago
Calculate the force output by the larger piston of a hydraulic lift when a force of 800 N is exerted on the smaller piston. The
Alchen [17]

answer:

<h2>F2= 5kN</h2>

step by step explanation

<em>Note the second diameter was used as 50cm and not 500cm</em>

given

F1=800N

D1=20cm

A1=πD1^2/4

=3.142*20^2/4

=314.2cm^2

D2= 50cm

A2=πD2^2/4

=3.142*50^2/4

=1963.75cm^2

The pressure applied on the smaller relative to the bigger end is expressed as

F1/A1=F2/A2

substitute we have

800/314.2=F2/1963.75

cross multiply we have

F2=800*1963.75/314.2

F2=1571000/314.2

F2=5000N

F2=5kN

The larger Force is 5kN

5 0
3 years ago
Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list sh
amm1812

Answer:  c.  0.0778

Step-by-step explanation:

Let  X is the number of non-authentic names in her sample with parameter :

n= 5 and p=40% = 0.40

Binomial probability distribution, the probability of getting success in x trials :-

P(X=x)=^nC_xp^x(1-p)^{n-x}

We have ,

P(X=0)=^{5}C_0(0.40)^0(1-0.40)^{5}\\\\=(1)(0.60)^{5}\\\\=0.07776\approx0.0778

Thus , the correct answer is option c. 0.0778

8 0
3 years ago
5(3 − x) − 4(2 − 3x) &gt; 4
zepelin [54]

Answer:

  x > -3/7

Step-by-step explanation:

Eliminate parentheses, collect terms, and subtract the constant on the left.

  5(3 -x) -4(2 -3x) > 4

  15 -5x -8 +12x > 4

  7x +7 > 4

  7x > -3

  x > -3/7 . . . . . divide by the coefficient of x

7 0
4 years ago
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