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Lady_Fox [76]
3 years ago
15

The dimensions of a conical funnel are shown below: A conical funnel is shown with the height of the cone as 7 inches and the ra

dius of the base as 3 inches. Betty closes the nozzle of the funnel and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 14 cubic inches per minute, how long will it take for all the liquid in the funnel to pass through the nozzle? (Use π = 3.14.)
Mathematics
2 answers:
tankabanditka [31]3 years ago
7 0

Answer: just toke the exam the answer is 4.71

Step-by-step explanation:

Nataly [62]3 years ago
5 0
The first thing we should know in this case is that by definition the flow of liquid is given by:
 Q = V / t
 Where,
 V: volume
 t: time
 The volume of the cone is given by:
 V = (pi * r ^ 2 * h) / (3)
 Where,
 r: radio
 h: height
 Substituting the values we have:
 V = (3.14 * ((3) ^ 2) * 7) / (3)
 V = 65.94 in ^ 3
 We now turn off the time of the flow equation:
 t = V / Q
 Substituting values:
 t = (65.94) / (14)
 t = 4.71 minutes
 Answer:
 It will take for all the liquid in the funnel to pass through the nozzle about:
 t = 4.71 minutes
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The Answer: (-b + 15) (15 - b)
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3 years ago
The ratio of boys to girls in Ms. smith’s class is 3 to 4. If there are 12 boys, how many girls are there?
Lorico [155]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ There will be 16 girls.

The relationship is x4. If we multiply 3 x 4, we get 12. What we do to one number we do to the other so 4 x 4 = 16.

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

4 0
3 years ago
7
Marat540 [252]

Answer:

Plan A equation:   y = 10x + 30

Plan B equation:  y = x + 80

Plan C equation: y = 5x + 50

Plan A costs the same as Plan C in 4 months

Plan A is the better option if you use 0 - 4 GBs of data each month

Plan B becomes the better deal when 8 months pass

Step-by-step explanation:

<u>When does Plan A cost the same as Plan C?</u>

Set the equations equal to each other (the cost) and solve for x (time in months)

10x + 30 = 5x + 50

5x = 20

x = 4 months

<u>Which plan is best if you only use 0-4 GBs of data a month?</u>

Test the maximum and minimum values to check which plan costs less

At 0 GBs of data used per month

Plan A:  y = 0 + $ 30 = $30 total

Plan B: y = 0 +$80 = $80 total

Plan C: y = 0 + $50 = $50 total

At 4 GBs of data used per month

Plan A: y = $ 40 + $ 30 = $ 70

Plan B: y = $ 4 + $ 80 = $ 84

Plan C: y = $ 20 + $ 50 = $ 70

Comparing the plans at maximum and minimum amount of GBs used, only one plan has the lowest cost overall. Even though Plan C is the same price at 4 GBs as Plan A, when you use 0 GBs you will end up paying more in Plan C than Plan A. Therefore, Plan A is the better option

<u>When does Plan B become the best deal?</u>

When you plot the different Plans on a graph, the slope intercept of x = 7.5 (rounded up to 8) yields the lowest cost for plan B

5 0
2 years ago
Given k(x) =x^3-2x, find k (3)
nadezda [96]

Answer:  21

Step-by-step explanation:

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k(3) =27-6

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5 0
3 years ago
#14, what is this answer ?
trapecia [35]

Answer:

option 3

Step-by-step explanation:

5 0
2 years ago
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