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2 years ago

Find the midpoint of the segment with these endpoint (4,6),(9,3)

Mathematics

1 answer:

Usimov [2.4K]2 years ago

7 0

Answer:

The midpoint of the segment is (6, 4.5).

Step-by-step explanation:

Midpoint of a segment:

The midpoint of a segment is given by the mean of the coordinates of their endpoints.

Segment with coordinates (3,6) and (9,3).

Mean x-coordinate: (3+9)/2 = 12/2 = 6

Mean y-coordinate: (6+3)/2 = 9/2 = 4.5

The midpoint of the segment is (6, 4.5).

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Find the flow rate through a tube of radius 6 cm, assuming that the velocity of fluid particles at a distance r cm from the cent

vaieri [72.5K]

Answer:

791.68 cm/s

Step-by-step explanation:

The volume flow rate can be interpreted as the integral of fluid velocity over area

$\dot{V} = \int\limits^6_0 {v(r) 2\pi r} \, dr\\\dot{V} = 2\pi\int\limits^6_0 {(25-r^2)r} \, dr\\\dot{V} = 2\pi\int\limits^6_0 {25r-r^3} \, dr\\\\\dot{V} = 2\pi[12.5r^2 - r^4/4]_0^6\\\dot{V} = 2\pi(12.5*6^2 - 6^4/4 - 12.5*0 - 0)\\\dot{V} = 2\pi*126 = 791.68 cm/s$

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3 years ago

Ab + 2b²<br> where<br> a = 7 b=4

Veronika [31]

Answer:

Step-by-step explanation:

$a=7\\b=4\\ab+2b^2\\(7)*(4)+2*(4)^2\\28+2*16\\28+32\\=\fbox{60}$

7 0

1 year ago

Section 1

icang [17]

Answer:

$P(Red) = \frac{7}{25}$

Step-by-step explanation:

Given

$Red = 35$

$Blue = 40$

$Green = 50$

Required

Determine the probability of red

$P(Red) = \frac{n(Red)}{Total}$

Substitute value for n(Red) and calculate Total

$P(Red) = \frac{35}{35 + 40 + 50}$

$P(Red) = \frac{35}{125}$

Divide numerator and denominator by 5

$P(Red) = \frac{7}{25}$

6 0

2 years ago

Alberta Doan worked 6 hours at time-and-a-half pay and 3 ¼ hours at double-time pay. Her regular pay rate was $9.72 an hour. Wha

natka813 [3]

Answer:

Alberta's total overtime pay of the week was $ 145.80.

Step-by-step explanation:

Given that Alberta worked 6 hours at time-and-a-half pay, and 3 hours at double-time pay, and that the value of her regular work hour is $ 9.72, to determine the value of the pay of his overtime, the following equation must be performed:

6x1.5x9.72 + 3x2x9.72 = X

9x9.72 + 6x9.72 = X

87.48 + 58.32 = X

145.8 = X

Therefore, Alberta's total overtime pay of the week was $ 145.80.

3 0

2 years ago

three snack bars contain 1/5,0.22,and 19% of their calories from fat. which snack bar contains the least amount of calories from

podryga [215]

19% becuze .22 is 22% and 1/5 is 20%

7 1

2 years ago

Read 2 more answers

Find the midpoint of the segment with these endpoint (4,6),(9,3)​

Find the midpoint of the segment with these endpoint (4,6),(9,3)