F is inversely proportional to d^2. When F = 15, d = 4
Work out d (positive value rounded to 2 DP) when F = 6

d ≈ 6.32

Step-by-step explanation:

Given F is inversely proportional to d² then the equation relating them is

F = ← k is the constant of proportion

To find k use the condition when F = 15, d = 4 , then

15 = = ( multiply both sides by 16 )

240 = k

F = ← equation of proportion

When F = 6 , then

6 = ( multiply both sides by d² )

6d² = 240 ( divide both sides by 6 )

d² = 40 ( take positive square root of both sides )

d = ≈ 6.32 ( to 2 dec. places )

11

step-by-step explanation:

32.50-7.50=25

225/25=11

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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