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Snezhnost [94]
2 years ago
9

A paraboloid container is being filled with fluid at the rate of 4.5 cubic feet per minute. At what rate is the level of fluid c

hanging when the depth
is 2.5 feet? The ratio of the radius to the height of the container is 3:7.
"V = 1/2 pir^2h
Mathematics
1 answer:
docker41 [41]2 years ago
7 0

Answer:

2.62 ft./min

Step-by-step explanation:

Just took the test.

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Given the points A(-10, -4) and B(14, 4), find the coordinates of the point P on the directed line segment AB that partitions AB
anastassius [24]

Answer:

P(5, 1)

Step-by-step explanation:

Segment AB is to be partitioned in a ratio of 5:3. That means the ratio of the lengths of AP to PB is 5:3. We need to find the ratio of the lengths of AP to AB.

AP/PB = 5/3

By algebra:

PB/AP = 3/5

By a rule of proportions:

(PB + AP)/AP = (3 + 5)/5

PB + AP = AP + PB = AB

AB/AP = 8/5

AP/AB = 5/8

The first part of the segment is 5/8 of the length of the segment, and the second part of the segment has length of 3/8 of the length of segment AB.

Point P is located 5/8 of the distance from point A to point B. The x-coordinate of point P is 5/8 of the difference in x-coordinates added to the x-coordinate of point A. The y-coordinate of point P is 5/8 of the difference in y-coordinates added to the y-coordinate of point A.

x-coordinate:

difference in coordinates: |14 - (-10)| = |14 + 10| = 24

5/8 of 24 = 5/8 * 24 = 15

Add 15 to the x-coordinate of point A: -10 + 15 = 5

x-coordinate of point P: 5

y-coordinate:

difference in coordinates: |4 - (-4)| = |4 + 4| = 8

5/8 of 8 = 5/8 * 8 = 5

Add 5 to the y-coordinate of point A: -4 + 5 = 1

y-coordinate of point P: 1

Answer: P(5, 1)

3 0
3 years ago
The triple beam balance shown above measures in grams what is the mass of the chick ?
ipn [44]
We have that

the first balance indicates--------> 10 g

the second balance indicates--------> 0 g

the third balance indicates--------> 7.5 g

therefore 
the <span>mass of the chick is (10+0+7.5)----> 17.5 g

the answer is
17.5 g</span>
4 0
2 years ago
Write a 5 digit number so that when you round to the nearest hundredth, your answer is 14.6. The number cannot include any zeros
MAVERICK [17]

Answer:

14.598

Step-by-step explanation:

When you round that number to the nearest hundredth, you'll get 14.6. Hope this helps.

3 0
2 years ago
A box of 20 dvds is worth $240.00 the box contains some DVDs worth $12.00 each and some DVDs worth 16.00 each. Which system of e
Advocard [28]

Answer:

B.

Step-by-step explanation:

8 0
3 years ago
Where can I find the shaded area of this diagram?
erik [133]

To find the area of the figure, we divide it into two rectangles as follows:

And we find the area of each rectangle, which is given by:

\begin{gathered} A=b\cdot h \\ \text{where b = base and h = height} \end{gathered}

Area rectangle 1:

A=3\cdot10=30m^2

Area rectangle 2:

A=4\cdot6=24m^2

Therefore, the shaded area of the diagram is:

A=30+24=54m^2

Answer: 54 m^2

7 0
1 year ago
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