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Greeley [361]
3 years ago
15

What is the length (magnitude) of the vector (5 -2) a. √29 b. 5√5 c. 5 d.√2

Mathematics
1 answer:
malfutka [58]3 years ago
8 0

Answer:

a. √29

Step-by-step explanation:

The formula for the magnitude of a vector is magnitude = sqrt(x^2 + y^2).

For vector (5, -2):

magnitude = sqrt(5^2 + -2^2)

magnitude = sqrt(25 + 4)

magnitude = sqrt(29)

Therefore, the answer is √29.

Hope this helped :D

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3 years ago
The number of leaves that fall off a tree n days after day 1 is given by the function f (n) = 3(2)".
densk [106]

Answer:

A. On the first day, 3 leaves fall.

B. D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.

Step-by-step explanation:

Given

f(n) = 3(2)^n

Solving (a) The meaning of 3.

3 represents the initial number of leaves (i.e. the first day) and this proved as follows.

On the first day, n = 0.

Substitute 0 for n in f(n) = 3(2)^n

f(0) = 3(2)^0

f(0) = 3*1

f(0) = 3

Solving (b) The meaning of 2.

2 represents the rate which leaves fall down.

In (a)

f(0) = 3

Take n = 1

Substitute 1 for n in f(n) = 3(2)^n

f(1) = 3(2)^1

f(1) = 3*2

f(1) = 6

When f(1) is divided by f(0), the result 2. So, the number of leaves doubles everyday

4 0
2 years ago
If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?
Ludmilka [50]

Answer:

Step-by-step explanation:

y = k*x                    This is the formula for a direct variation.

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20 = 4 * k                        Divide by 4

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Answer:

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Step-by-step explanation:

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x = 16.6

6 0
3 years ago
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