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2 years ago

One person can do a certain job in twenty-one minutes, and another person can do the same job in twenty-eight

Mathematics

1 answer:

ivolga24 [154]2 years ago

4 0

Answer: 12

Step-by-step explanation:

if there are 2 people then doing the same job then that means divide by two so 8 which is off the 28 , 8 divided by 2 is 4, then, that makes 24 , and 24 divided by 2 is 12 so the answer is 12

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ln(y+1)-lny=1+3lnx . Express y in terms of x, in a form not involving logarithms. (4 marks, Maths CIE A level)

Delicious77 [7]

$remember$
$ln(x)=log_e(x)$
$and$
$log_x(a)-log_x(b)= log_x( \frac{a}{b} )$
$and$
$log_a(b)=c$ means $a^c=b$
$and$
$blog(a)=log(a^b)$

$so$

$ln(y+1)-ln(y)=1+3ln(x)$
$ln( \frac{y+1}{y} )=1+ln(x^3)$

$minus$ $ln(x^3)$ $from$ $both$ $sides$

$ln( \frac{y+1}{y}-ln(x^3) )=1$
$ln( \frac{y+1}{yx^3})=1$
$log_e( \frac{y+1}{yx^3})=1$

$translate$

$e^1=\frac{y+1}{yx^3}$
$e=\frac{y+1}{yx^3}$

$times$ $both$ $sides$ $by$ $yx^3$

$eyx^3=y+1$

$minus$ $y$ $from$ $both$ $sides$

$eyx^3-y=1$
$y(ex^3-1)=1$

$divide$ $both$ $sides$ $by$ $(ex³-1)$

$y= \frac{1}{ex^3-1}$

6 0

2 years ago

Read 2 more answers

The number of guppies that a fish tank can safely hold depends on its volume. A fish tank should have a volume of 576 cubic inch

andre [41]

The answer is 24 guppies. First find the volume of the tank, then divide that volume by 576 (you should get 8), then you multiply 3 guppies by 8 to get 2e

3 0

2 years ago

The line passes through (2,1) and (6,7)

Ilya [14]

............y=3/2x-2

3 0

2 years ago

The question is shown in the picture !

zloy xaker [14]

I want to say the answer is a or b mostly a though

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2 years ago

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predict the attendance for minor league baseball in the year 2005. a. 5,208,000 b. 4,495,000 c. 44,950,000 d. 52,080,000

solong [7]

Answer:

c. 44,950,000

Step-by-step explanation:

The following table is missing:

Year Attendance (millions)

1985 18.4

1990 25.2

1995 33.1

2000 37.6

Using a calculator, the line of best fit is obtained. Equation:

y = 1.31x - 2581.6

where y is attendance (in millions) and <em>x</em> is the year. Replacing with x = 2005 into the equation, we get:

y = 1.31(2005) - 2581.6

y = 44.95 millions or 44,950,000

6 0

2 years ago