3 years ago

Which segment is both a chord and diameter segment____ . AO AE BC B

Mathematics

1 answer:

alexandr402 [8]3 years ago

7 0

Answer:

Answer is BD

Step-by-step explanation:

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Mrs. Conrys class Amaryllis grew 2/9 of an inch in 1/6 of a day. How many inches will it grow in one day?

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1/18

Step-by-step explanation:

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3 years ago

Which fraction is equal to 0.45...?<br> A. 5/11<br> B. 41/99<br> C. 41/90<br> D. 41/9

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0.45 Isn't Equal To Any Of These Fractions But It Is Equal To 45/100

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This question is incomplete

Complete Question

Mr Sampson fills the family pool with water for the summer.After two hours,the water has reached a depth of 2.5 feet. After three hours,the water level has risen to 3 3/4 feet.If the relationship between time and water depth is proportional,what is the constant of proportionality?

Answer:

1.33

Step-by-step explanation:

Time is proportional to Depth

Hence:

T ∝ D

T = kD

Where k is the constant of proportionality

After two hours,the water has reached a depth of 2.5 feet. After three hours,the water level has risen to 3 3/4 feet.

Total number of hours now is 3 + 2 = 5 hours

5 = k × 3 3/4

5 = k × 3.75

k = 5/3.75

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2 years ago

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

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

$so$

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

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

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

$translate$

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

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

$eyx^3=y+1$

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

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

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

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

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