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tresset_1 [31]
3 years ago
10

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
3 0

Answer:

W = 6t + 90

Step-by-step explanation:

Given :

Starting weight = intercept = 90 kg

Weight gained after 8 months = 138 kg

Using the slope intercept relation ;

We can obtain the rate of change, slope ;

y = mt + c

m = slope ; t = time after t months ; c = intercept

y = weight gained after 8 months

138 = 8m + 90

138 - 90 = 8m

48 = 8m

m = 48 / 8

m = 6

Hence, slope intercept equation equals :

W = 6t + 90

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A ship moves through the water at 30 miles/hour at an angle of 30° south of east. The water is moving 5 miles/hour at an angle o
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Answer:

a. 25.98i - 15j mi/h

b. 1.71i + 4.7j mi/h

c. 27.69i -10.3j mi/h

Step-by-step explanation:

a. Identify the ship's vector

Since the ship moves through water at 30 miles per hour at an angle of 30° south of east, which is in the fourth quadrant. So, the x-component of the ship's velocity is v₁ = 30cos30° = 25.98 mi/h and the y-component of the ship's velocity is v₂ = -30sin30° = -15 mi/h

Thus the ship's velocity vector as ship moves through the water v = v₁i + v₂j = 25.98i + (-15)j = 25.98i - 15j mi/h

b. Identify the water current's vector

Also, since the water is moving at 5 miles per hour at an angle of 20° south of east, this implies that it is moving at an angle 90° - 20° = 70° east of north, which is in the first quadrant. So, the x-component of the water's velocity is v₃ = 5cos70° = 1.71 mi/h and the y-component of the water's velocity is v₄ = 5sin70° = 4.7 mi/h

Thus the ship's velocity vector v' = v₃i + v₄j = 1.71i + 4.7j mi/h

c. Identify the vector representing the ship's actual motion.

The velocity vector representing the ship's actual motion is V = velocity vector of ship as ship moves through water + velocity vector of water current.

V = v + v'

= 25.98i - 15j mi/h + 1.71i + 4.7j mi/h

= (25.98i + 1.71i + 4.7j - 15j )mi/h

= 27.68i -10.3j mi/h

7 0
3 years ago
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crimeas [40]

Answer:

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We may also have under coverage bias because some people may not have a phone and in this case these people would be excluded from the study

Step-by-step explanation:

For this case is important to remember the different types of sampling methods

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Sources of bias

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Answer:

13

Step-by-step explanation:

Sorry i cannot showy solution

8 0
3 years ago
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