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seropon [69]
2 years ago
8

Diego is monitoring his weight. On week 1 he weighed 160 pounds, the next week he weighed 158 pounds, and the third week he weig

hed 156 pounds. If his weight
continues to decrease at the same rate, what will his weight be on week 6?
Mathematics
1 answer:
castortr0y [4]2 years ago
4 0

Answer:

150 pounds

Step-by-step explanation:

Subtract two pounds each week.

Week 1- 160

Week 2-158

Week 3 -156

Week 4 -154

Week 5 -152

Week 6 -150

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Evaluate the given integral by changing to polar coordinates. 8xy dA D , where D is the disk with center the origin and radius 9
BabaBlast [244]

Answer:

0

Step-by-step explanation:

∫∫8xydA

converting to polar coordinates, x = rcosθ and y = rsinθ and dA = rdrdθ.

So,

∫∫8xydA = ∫∫8(rcosθ)(rsinθ)rdrdθ = ∫∫8r²(cosθsinθ)rdrdθ = ∫∫8r³(cosθsinθ)drdθ

So we integrate r from 0 to 9 and θ from 0 to 2π.

∫∫8r³(cosθsinθ)drdθ = 8∫[∫r³dr](cosθsinθ)dθ

= 8∫[r⁴/4]₀⁹(cosθsinθ)dθ

= 8∫[9⁴/4 - 0⁴/4](cosθsinθ)dθ

= 8[6561/4]∫(cosθsinθ)dθ

= 13122∫(cosθsinθ)dθ

Since sin2θ = 2sinθcosθ, sinθcosθ = (sin2θ)/2

Substituting this we have

13122∫(cosθsinθ)dθ = 13122∫(1/2)(sin2θ)dθ

= 13122/2[-cos2θ]/2 from 0 to 2π

13122/2[-cos2θ]/2 = 13122/4[-cos2(2π) - cos2(0)]

= -13122/4[cos4π - cos(0)]

= -13122/4[1 - 1]

= -13122/4 × 0

= 0

5 0
3 years ago
X=?? solve for x hurry!
jarptica [38.1K]

Answer: x + 30 + 90= 180(sum of angles on a straight line)

x= 180-120

x=60

7 0
3 years ago
Jacob distributed a survey to his fellow students asking them how many hours they spent on the Internet in the past day. He also
Anna35 [415]

The linear equation B. y = -x +7.5 best describes the given model. The mood rating for a student that spent 5.5 hours online would be 2.

Step-by-step explanation:

Step 1; We plot the points that fall on the line and that lie on an exact x or y coordinate. The following 4 points are plotted (0.5, 7), (2, 5.5), (2.5, 5) and (3.5, 4). We substitute the values of x in the given equations to see which best describes the model.

Step 2; When y = x + 7.5, we get the coordinates as (0.5, 8), (2, 9.5), (2.5, 10) and (3.5, 11).

When y = -x + 7.5, the coordinates are (0.5, 7), (2, 5.5), (2.5, 5) and (3.5, 4).

When y = \frac{-1x}{2} + 7.5, the coordinates are (0.5, 7.25), (2, 6.5), (2.5, 6.25) and        (3.5, 5.75).

So equation 2 has the closest values to the actaul graph.

Step 3; By substituting x = 5.5, y = -(5.5) + 7.5 = 7.5 - 5.5 = 2.

8 0
3 years ago
Simplify 2 times the 4th root of 80
xz_007 [3.2K]
The answer is <span>4 times the 4th root of 5. You would take out a 16, and the fourth root of that is 2 so 2 x 2 = 4 which would be outside the fourth root of 5.

Hope this helps! :)</span>
8 0
3 years ago
Read 2 more answers
BRAINLIEST to correct answer!! (Ignore the answer already selected- I don’t know if it’s correct)
VMariaS [17]

Answer:

1.Factor numerator and denominator

2.reduce the fraction

3.rewrite any remaining expressions in the numerator an denominator

Step-by-step explanation:

5 0
2 years ago
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