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Phantasy [73]
4 years ago
15

Consider this composite figure. 2 cones. The top cone has a height of 5 centimeters and radius of 3 centimeters. The bottom cone

has a height of 8 centimeters and radius of 3 centimeters. Apply the formula of each shape to determine the volumes. What is the exact volume of the composite figure? V = π cm³
Mathematics
2 answers:
NeX [460]4 years ago
7 0

Answer:

39

Step-by-step explanation:

EDG 2020

posledela4 years ago
3 0

Answer:

39

Step-by-step explanation:

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ddd [48]
Could you possibly give some more details for me to understand better? :) 
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3 years ago
10. Determine the open interval(s) on which the function f(x) = 12x - x^3 is increasing.
Gre4nikov [31]

Answer:

\large\boxed{x\in(-2,\ 2)}

Step-by-step explanation:

f(x)=12x-x^3

Calculate the derivative of the function:

f'(x)=\left(12x-x^3\right)'=(12x)'-\left(x^3\right)'=12-3x^2

Calculate the zeros of the derivative:

f'(x)=0\Rightarrow12-3x^2=0\qquad\text{add}\ 3x^2\ \text{to both sides}\\\\3x^2=12\qquad\text{divide both sides by 3}\\\\x^2=4\to x=\pm\sqrt4\\\\x=\pm2

Let's check the derivative sign:

f'(x)>0\iff12-3x^2>0\qquad\text{use the distributive property}\\\\-3(x^2-4)>0\\\\-3(x^2-2^2)>0\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\-3(x-2)(x+2)>0\\^{\qquad x=2\qquad x=-2

Sketch a parabola open down

(before the brackets there is the number -3 < 0)

Look at the picture.

Where the derivative is negative, the function decreases.

Where the derivative is positive, the function increases.

Therefore your answer is:

x\in(-2,\ 2)

3 0
4 years ago
What fraction has a numerator of 44
Paha777 [63]
The fraction that has a numerator of 44 is 1.5 i belive that or 3.7
6 0
4 years ago
Read 2 more answers
Please, someone, help me and tell the fractions
OLEGan [10]

Answer:

2/3

Step-by-step explanation:

The first fraction has to have the LCD of 24 because its what is divisible by 4 and 12

The first fraction has to be multiplied by 6/6 to get to the denominator of 24

The second fraction has to be multiplied by 2/2 to get to the denominator of 24

The first fraction then becomes

6/24

And the second fraction becomes

10/24

The answer would be 16/24 which simplifies to 2/3

Hope I helped! <3

5 0
3 years ago
Someone please help me please
zaharov [31]

Graph

-2x+y\ge-2

Procedure

3 0
2 years ago
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