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Anastasy [175]
3 years ago
5

Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water

remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining.
Mathematics
1 answer:
nekit [7.7K]3 years ago
3 0
<span>The table must show: Time (minutes) number of gallons remaining X y 0 Yo 1 Yo – 1.5 2 Yo – 2*1.5 3 Yo – 3*1.5 4 Yo – 4*1.5 And the equation will be ; Y = Yo – 1.5 x, where Yo is the initial amount of water in the bathtub.</span>
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Region R is bounded by the lines y=4, x=6, the y-axis and the x-axis. Region R is rotated about the line y=-2. Find the volume o
GalinKa [24]

Answer:

The volume of the region after being rotated is 603.186 unit³

Step-by-step explanation:

Here we have the shape formed by the region is that of a hollow cylinder with thickness 4 and length 6 with radius of opening at center = 2

Therefore, the volume is

πR²L - πr²L = πL(R² - r²)

Where:

R = Outer radius of the cylinder = 4 + 2 = 6

r = inner radius = 2

L = Length of the cylinder = 6

Therefore we have

Volume  = π×6×(6² - 2²) = 603.186 unit³.

6 0
3 years ago
Subtract 3a(a + b + c) – 2b(a – b + c) from 4c(–a + b + c). Please answer and tell how to solve it, I know how the letters repre
jonny [76]

- 7ca + 6bc - ab + 4c { }^{2}

4c(-a+b+c) - 3a( a+b+c) - 2b( a-b+c)

- 4ca + 4cb + 4c  {}^{2}  - 3a {}^{2}  + 3ab - 3ac + 2ba - 2b { }^{2}  + 2bc

- 4ca - 3ac + 4cb + 2bc + 4c  {}^{2}  - 3a {}^{2}  - 3ab + 2ba - 2b {}^{2}

=  - 7ca + 6bc - ab + 4c {}^{2}  - 2b {}^{2}

8 0
4 years ago
The coordinates of the vertices of AHKM are H(3, -2),
il63 [147K]

Answer:

  • B. (x, y) → (x - 6, y + 3)

Step-by-step explanation:

<u>Find the difference of corresponding coordinates</u>

<u>H to H'</u>

  • x = - 3 - 3 = - 6
  • y = 1 - (-2) = 3

<u>K to K'</u>

  • x = 1 - 7 = - 6
  • y = - 2 - (-5) = 3

<u>According to above, the rule is:</u>

  • (x, y) → (x - 6, y + 3)

Correct choice is B

3 0
3 years ago
Find the exact perimeter of quadrilateral ABCD plotted below. A-3,2) B(6,-2) D(0,-6) C(3.-6)​
Helen [10]

Answer: The answer is B......

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Tried looking it up. I couldn’t find it. I need all the answers. 13-17 please
Mila [183]
#13 = 112
#14 = 68
#15 = 22
#16 = 90
#17 = (X=22)  
b = 125 
c = 55
5 0
3 years ago
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