14. According to a recent government study, the average 15-year-old male gets 11.4% of his daily caloric intake from sugar drinks.
If that 15-year-old consumes 2,400 calories each day, how many calories come from sugar drinks?

The calories come from sugar drinks = 269.76 calories

Step-by-step explanation:

Calories come from sugar drinks = 11.4% of 2400

⇒ (11.4/100)2400

⇒ 11.424

⇒ 269.76 calories.

∴ Calories come from sugar drinks is 269.76 calories.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

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step-by-step explanation: