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BaLLatris [955]
3 years ago
15

it is given that ln(y+1) - ln(y) = 1+3ln(x) . express y in terms of x in a form not involving logarithms

Mathematics
1 answer:
Rina8888 [55]3 years ago
4 0

ln( \frac{y + 1}{y} )  =  ln( {x}^{3} e)  \\  \frac{y + 1}{y}  =  {x}^{3} e
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Amy has four more 20c coins than 5c coins. The total value of all her 20c and 5c is $3.80. How many 5c coins does Amy have?
skelet666 [1.2K]

Answer:

Amy has 12 5¢ coins

Step-by-step explanation:

Let <em>x</em> represent 20¢ coins and <em>y</em> represent 5¢ coins.

Amy has four more 20¢ coins than 5¢ coins. Hence:

x=y+4

And the total value of all her coins is $3.80. Thus:

0.2x+0.05y=3.8

This yields a system of equations:

\displaystyle \begin{cases} x=y+4 \\ 0.2x+0.05y=3.8\end{cases}

We can solve by substitution. Substitute the first equation into the first:

\displaystyle 0.2(y+4)+0.05y=3.8

Distribute:

\displaystyle 0.2y+0.8+0.05y=3.8

Combine like terms:

\displaystyle 0.25y = 3

And divide both sides by 0.25. Hence:

y=12

Thus, Amy has 12 5¢ coins.

Using the first equation:

x=y+4

Substitute:

x=(12)+4=16

Thus, Amy has 16 20¢ coins.

In conclusion, Amy has 12 5¢ coins and 16 20¢ coins.

6 0
3 years ago
Complete the equation of this circle:<br> А<br> (x - [ ? ])2+(y - [ ])2= [ ]
Bingel [31]

equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2,

so in first box - h

in second box - k

after equal to box = r²

7 0
3 years ago
(20 POINTS!) Place the circles in order from the circle with the largest area to the circle with the smallest area. 
BigorU [14]

Circumfrance 37.68

Diameter of 16 meters

Radius of 7 meters

Diameter of 8 meters. That is ur order

5 0
3 years ago
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What does it mean to square both sides of an equation
andreev551 [17]

Answer:using the square root on both sides of the equation

Step-by-step explanation:

3 0
3 years ago
Someone help and please make sure it’s right
VMariaS [17]

Answer:

x=10

Step-by-step explanation:

18x=180

x=10

if my answer helps please mark as brainliest.

5 0
3 years ago
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