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padilas [110]
3 years ago
10

The volume of water flowing through a pipe varies directly wlth the square of the radius of the pipe. If the water flows at a ra

te of 80 liters per minute through a pipe with a radlus of 4 cm, at what rate would water flow through a pipe with a radius of 3 cm? (Rigorous) (Competency 007) 11. A) 45 liters per minute B) 6.67 liters per minute C) 60 liters per minute D) 4.5 liters per minute
Mathematics
1 answer:
Rashid [163]3 years ago
3 0

Answer:

A

Step-by-step explanation:

Volume varies directly with the square of the radius, so:

V = k r²

When V = 80, r = 4.

80 = k (4)²

k = 5

V = 5r²

When r = 3:

V = 5 (3)²

V = 45

The flow is 45 L/min.

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To add 20.4 + 3.75 + 4.25, Crystal first added 3.75 and 4.25. Which property did Crystal use to add mentally?
evablogger [386]

Answer:

Associative Property of Addition

Step-by-step explanation:

From the list of given options, option A correctly answers the question and this is because

a + b + c = a + (b + c) --- (1)

or

a + b + c = (a + b) + c --- (2)

<em>The above illustrations only apply to Associative Property of Addition</em>

In Crystal's case:

20.4 + 3.75 + 4.25 = 20.4 + (3.75 + 4.25)

This can be compared to (1) above

Hence;

<em>Option A answers the question</em>

3 0
3 years ago
What is the vertex of the graph of y = 1/3 (x-9)2 + 5 Question 1 options: (9,5) (3,3) (3,5) (-9,5)
svlad2 [7]
ANSWER

The vertex of the graph of
y =  \frac{1}{3}  {(x - 9)}^{2}  + 5
is

(9,5)



EXPLANATION

The vertex form of a parabola is given by

y = a {(x - h)}^{2}  + k

where
V(h,k)
is the vertex of the parabola.


The function given to us is

y =  \frac{1}{3}  {(x - 9)}^{2}  + 5
This is already in the vertex form.


When we compare this to the general vertex form, we have,

a =  \frac{1}{3}

h = 9
and

k = 5


Therefore the vertex of the parabola is

V(9,5)

Hence the correct answer is option A.

7 0
3 years ago
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puteri [66]

Answer:

Meaning

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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