Awheel moves with an angular velocity of 16 radians per second. find the speed of the wheel if its diameter is 28 inches.

Let us gather first all the information:

Let  rad = radians, rev = revolution, 2πr = circumference, r = radius

Radius = 2 8/2 = 14 in

Equation:

Speed of the wheel = 16 rad/sec * rev / 2πr

rad*2πr / rev

We will cancel rad, rev, and 2πr

So here’s left:

Speed of wheel = 16r in/sec

= 16 * 14 in/sec

= 224 in/sec

gregory's graph is incorrect because it shows 2 inches of growth for each week when it should show 0.75 inches of growth each week.

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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