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2 years ago

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I need this answers ASAP please. The mass of potatoes Lucan used is 5:2 the mass of carrots. The mass of potatoes is 9 kg more t

han the mass of carrots. Find the total mass of both ingredients. Please provide an explanation.

1 answer:

Gnoma [55]2 years ago

7 0

Answer:

Step-by-step explanation:

Known facts:

the ratio of mass potatoes to the mass of carrots is 5:2
the mass of potato is 9kg more than the mass of carrot

Let us set up the equation:

variables: mass of potatoes: p, the mass of carrots: c

p/c = 5/2 --> 2p = 5c --> 2p -5c = 0 -- equation 1

p = 9 + c --> p - c = 9 -- equation 2

Multiple equation 2 by 2

2p - 2c = 18 -- equation 3

subtract equation 1 and equation 3

-3c = -18

c = 6, so p = 15

So the total mass of both ingredients is 21 kg

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Step-by-step explanation:

(a)

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Now find $\frac{dB}{dA}$

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$f(x)=f'(A).(x-A)+f(A)\\\\=f'(\frac{\pi}{4}).(x-\frac{\pi}{4})+f(\frac{\pi}{4})\\\\=\sqrt{3}.[x-\frac{\pi}{4}]+\frac{\pi}{3}$

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3 years ago

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3 years ago

Read 2 more answers

, list the first five terms of each sequence, and identify them as arithmetic or geometric.

Serhud [2]

Answer:

The first 5 terms are -6,-25,-44,-63 and -82

The sequence is arithmetic

Step-by-step explanation:

Given that A(n + 1) = A(n) − 19 for n ≥ 1 and A(1) = −6

A(1) = -6

A(2) = A(1) − 19 = -6 - 19 = -25

A(3) = A(2) − 19 = -25 - 19 = -44

A(4) = A(3) − 19 = -44 - 19 = -63

A(5) = A(4) − 19 = -63 - 19 = -82

So the first 5 terms are -6,-25,-44,-63 and -82

If they are in arithmetic the common difference will be same, if geometric common ratio will be same.

Let us check common difference,

-25-(-6) = -19

-44-(-25) = -19

-63-(-44) = -19

-82-(-63) = -19

So common difference is same, so the sequence is arithmetic.

3 0

3 years ago