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Vikentia [17]
3 years ago
15

Given vectors A (2,-1,5), B (4,3,-2) & C (5,4,0), find:?

Mathematics
1 answer:
MrRissso [65]3 years ago
7 0
A) 4a - 3b + 2c

4(2, -1, 5) - 3(4, 3 , -2) + 2(5, 4, 0) = (8, -4, 20) - (12, 9, - 6) + (10, 8, 0) =

= (8 - 12 + 10 , -4 - 9 + 8 , 20 + 6 + 0) = (6, - 5, 26)

Answer: (6, - 5, 26)

b) magnitude of vector b

\sqrt{4^2+3^2+(-2)^2} = \sqrt{16+9+4} = \sqrt{29} ~ 5.4

c) vector of length 7 parallel to vector c

=> m(5,4,0) = (5m,4m,0)

=>    \sqrt{(5m)^2+(4m)^2+0}= \sqrt{25m^2+16m^2}= \sqrt{41m^2}=m \sqrt{41}=7

=> m = 7 / √41 ≈ 1.093

=> 1.093 (5, 4, 0) = (5.465 , 4.372, 0)

Answer: (5.465 , 4.372 , 0)
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3 years ago
These graphs depict the price and output levels of apples under perfect competition and monopoly market structures. what is the
Ksivusya [100]

The extra amount that Mary would pay for apples under a monopoly instead of perfect competition is B. $3

<h3>Calculations and Parameters:</h3>

From the complete information,

There are images of the prices that can be gotten under a monopoly and the ones that can be gotten in a perfect competition by Mary.

The marginal cost which is graphed against the pound of apples and the price shows Mary would pay $15 and the marginal revenue shows that Mary would pay $12.

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6 0
2 years ago
A recipe for oatmeal cookies calls for 2 cups of flour for every 3 cups of oatmeal. How much flour is needed for a big batch of
kaheart [24]

6 cups of flour is needed for a big batch of cookies that uses 9 cups of oatmeal

Step-by-step explanation:

For 3 cups of oatmeal 2 cups of flour is required.

We need to find how much flour is needed for 9 cups of oatmeal.

Solving by using Unitary Method

3 cups of oatmeal require flour = 2 cups

1 cup of oatmeal require flour = \frac{2}{3}

9 cups of oatmeal require flour = \frac{2}{3}*9\\

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So,  6 cups of flour is needed for a big batch of cookies that uses 9 cups of oatmeal

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