Suppose you work on a tree farm and you need to find the height of each tree. You know that the length of an object with its height. Find the constant of variation

The answer is below

Step-by-step explanation:

Suppose you work on a tree farm and you need to find the height of each tree. You know that the length of an object varies directly with its height. a) Find the constant of variation b) find the height of the tree

Solution:

a) Let y represent the length of an object and x represent the height of the object. Given that y ∝ x. Let k be the constant of variation, therefore the relationship between y and x is:

y = kx

y = 2 ft 2 in = 13/6 ft (1 ft = 12 in)

x = 6 ft

Substituting gives:

13/6 = k(6)

k = 13/6 ÷ 6

k = 13/36

b) y = (13/36)x

Given that y = 8ft 4 in = 25/3 ft

Substituting:

y = (13/36)x

25/3 = (13/36)x

x = 25/3 ÷ (13/36)

x= 300/13 ft ≈ 23 ft

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

f(x)=2/3x+4/3 is the answer because is whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation: