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Digiron [165]
3 years ago
14

Ophelia keeps flour in a cylindrical canister. The capacity of the full canister is 75.36 in^3..When it is filled halfway the fl

our reaches a height of 3 in. What is the diameter of the canister?
Mathematics
2 answers:
dezoksy [38]3 years ago
5 0

Answer:

4 (rounded to the nearest whole number)

Step-by-step explanation:

total height = 3 x 2 = 6

Volume = radius^2 * pi * height

75.36= radius^2 * pi * 6

75.36/pi = radius^2 * 6  

23,987833 = radius^2 * 6

23,987833/6 = radius^2

3,997972 = radius^2

radius = 1,999493

diameter = radius x 2 = 1,999493 x 2 = 3,998986

Natalka [10]3 years ago
3 0

Answer:

Yeah, what they said above.

Step-by-step explanation:

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Find the length of a diagonal of a square of side 17cm
Ronch [10]

Answer:

2*17²=length=578

apply Pythagoras theorem

8 0
2 years ago
What is the intial value and rate of change in this graph. please explain step by step!!!!!
WARRIOR [948]

The initial value of the graph is where x = 0. Thus, in this case, the initial value is 12.


The rate of change of the graph is essentially the slope of the graph. In this case, we can use the slope formula:

\dfrac{y_2 - y_1}{x_2 - x_1}

  • (x_1, y_1) and (x_2, y_2) are points on the graph

Let's use two points from the chart to find the slope:

m = \dfrac{30 - 21}{2 - 1} = 9


In this case, the rate of change of the graph is 9.

4 0
3 years ago
Read 2 more answers
Which value is equivalent to 12 + 24 ÷ 3? A) 8 B) 12 C) 20 D) 36
Montano1993 [528]

Answer:

c.20

Step-by-step explanation:

first step:24÷3=8

final step: 12+8=20

5 0
3 years ago
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Solve for points. identify the vertex and indicate whether it is max or min.
Keith_Richards [23]

Answer:

min at (3, 0 )

Step-by-step explanation:

given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

y = (x - 3)² = x² - 6x + 9 ← in standard form

with a = 1 and b = - 6 , then

x_{vertex} = - \frac{-6}{2} = 3

substitute x = 3 into the equation for corresponding value of y

y = (3 - 3)² = 0² = 0

vertex = (3, 0 )

• if a > 0 then vertex is minimum

• if a < 0 then vertex is maximum

here a = 1 > 0 then (3, 0 ) is a minimum

4 0
2 years ago
Solve 5^3x+1 = 4^x-5 for x
tensa zangetsu [6.8K]

For the equation 5^{3x+1}=4^{x-5} take the \log from both sides:

\log 5^{3x+1}=\log 4^{x-5},\\ \\(3x+1)\log 5=(x-5)\log 4.

Find x:

3x\log 5+\log 5=x\log 4-5\log 4,\\ \\3x\log 5-x\log 4=-5\log 4-\log 5,\\ \\x(3\log 5-\log 4)=-5\log 4-\log 5,\\ \\x=\dfrac{-5\log 4-\log 5}{3\log 5-\log 4}=\dfrac{5\log 4+\log 5}{\log 4-3\log 5}.

Answer: correct choice is D

7 0
3 years ago
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