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3 years ago

The depth of a pond changes from 8 2/5 m to 5 1/2 m over a period of 1 2/3 mo.

Mathematics

1 answer:

g100num [7]3 years ago

7 0

Answer:

Step-by-step explanation:4767

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K means vs k medoids are the same when data set is large

Hitman42 [59]

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6 0

3 years ago

Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse

Drupady [299]

Answer:

$a'(d) = \frac{d}{5} + \frac{3}{5}$

$a(a'(d)) = a'(a(d)) = d$

Step-by-step explanation:

Given

$a(d) = 5d - 3$

Solving (a): Write as inverse function

$a(d) = 5d - 3$

Represent a(d) as y

$y = 5d - 3$

Swap positions of d and y

$d = 5y - 3$

Make y the subject

$5y = d + 3$

$y = \frac{d}{5} + \frac{3}{5}$

Replace y with a'(d)

$a'(d) = \frac{d}{5} + \frac{3}{5}$

Prove that a(d) and a'(d) are inverse functions

$a'(d) = \frac{d}{5} + \frac{3}{5}$ and $a(d) = 5d - 3$

To do this, we prove that:

$a(a'(d)) = a'(a(d)) = d$

Solving for $a(a'(d))$

$a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})$

Substitute $\frac{d}{5} + \frac{3}{5}$ for d in $a(d) = 5d - 3$

$a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3$

$a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3$

$a(a'(d)) = d + 3 - 3$

$a(a'(d)) = d$

Solving for: $a'(a(d))$

$a'(a(d)) = a'(5d - 3)$

Substitute 5d - 3 for d in $a'(d) = \frac{d}{5} + \frac{3}{5}$

$a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}$

Add fractions

$a'(a(d)) = \frac{5d - 3+3}{5}$

$a'(a(d)) = \frac{5d}{5}$

$a'(a(d)) = d$

Hence:

$a(a'(d)) = a'(a(d)) = d$

7 0

2 years ago

Please help with this

dexar [7]

Answer:

13) 1,11 14) 1,2,11,22 15) 1, 2, 4, 7, 14, 28 16) 1, 2, 4, 8, 16, 32 17) 1, 2, 3, 6, 7, 14, 21, 42

Step-by-step explanation:

5 0

2 years ago

IThere are 5 times as many males as females on the maths course at university. What fraction of the course are male? Give your a

melomori [17]

Answer:5/1

Step-by-step explanation:5 times 1 is 5 so for every female it’s 5 male

6 0

3 years ago

Please solve for y need ASAP

MrMuchimi

6(y+2) = 4(z+9)
6y + 12 = 4z + 36
6y = 4z + 24
y = (4z + 24) / 6
y = (2z + 12) / 3

answer
C. y = (2z + 12)/3

7 0

3 years ago