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2 years ago

The volume of a cone is 20 cubic cm. What is the volume of a cylinder

Mathematics

1 answer:

USPshnik [31]2 years ago

7 0

Answer: cone: volume is 1/3 base * height

cylinder: volume is base * height

Step-by-step explanation: I think so sorry if I'm wrong, good luck!

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The price of an item has been reduced by 30%. The original price was $30. What is the price of the item now ?

Anit [1.1K]

Answer:

Step-by-step explanation:

30 multiply by 30 and divide by 100

6 0

3 years ago

Determine the singular points of the given differential equation. Classify each singular point as regular or irregular. (Enter y

ludmilkaskok [199]

Answer:

Step-by-step explanation:

Given that:

The differential equation; $(x^2-4)^2y'' + (x + 2)y' + 7y = 0$

The above equation can be better expressed as:

$y'' + \dfrac{(x+2)}{(x^2-4)^2} \ y'+ \dfrac{7}{(x^2- 4)^2} \ y=0$

The pattern of the normalized differential equation can be represented as:

y'' + p(x)y' + q(x) y = 0

This implies that:

$p(x) = \dfrac{(x+2)}{(x^2-4)^2} \$

$p(x) = \dfrac{(x+2)}{(x+2)^2 (x-2)^2} \$

$p(x) = \dfrac{1}{(x+2)(x-2)^2}$

Also;

$q(x) = \dfrac{7}{(x^2-4)^2}$

$q(x) = \dfrac{7}{(x+2)^2(x-2)^2}$

From p(x) and q(x); we will realize that the zeroes of (x+2)(x-2)² = ±2

When x = - 2

$\lim \limits_{x \to-2} (x+ 2) p(x) = \lim \limits_{x \to2} (x+ 2) \dfrac{1}{(x+2)(x-2)^2}$

$\implies \lim \limits_{x \to2} \dfrac{1}{(x-2)^2}$

$\implies \dfrac{1}{16}$

$\lim \limits_{x \to-2} (x+ 2)^2 q(x) = \lim \limits_{x \to2} (x+ 2)^2 \dfrac{7}{(x+2)^2(x-2)^2}$

$\implies \lim \limits_{x \to2} \dfrac{7}{(x-2)^2}$

$\implies \dfrac{7}{16}$

Hence, one (1) of them is non-analytical at x = 2.

Thus, x = 2 is an irregular singular point.

5 0

2 years ago

A direct variation does not need to go through the origin of the coordinate plane. True False

xxTIMURxx [149]

The answer would be true

5 0

3 years ago

at maximum speed , an airplane travels 1680 miles against the wind in 5 hours flying with the wind , the plane can travel the sa

Westkost [7]

X = velocity of plane
y = velocity of wind

x - y = 1680/5 = 336 mph .....(1) [ plane flying against the wind]
&
x + y = 1680/4 = 420 mph....(2) [ plane flying with the wind]

Adding (1) and (2) to eliminate y gives

2x = 756
x = 378 mph is the speed of the plane with no wind.

3 0

3 years ago

Read 2 more answers

= 8 cm, height = 67 cm.

zavuch27 [327]

Answer:

Step-by-step explanation:

8cm=67-8

5 0

3 years ago