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SOVA2 [1]
3 years ago
8

The volume of a cylinder is given by the formula V = (pi)r^2h, where r is the radius of the cylinder and h is the height. Suppos

e a cylindrical can has radius (x - 3) and height (2x + 7). Which expression represents the volume of the can?
Mathematics
2 answers:
Y_Kistochka [10]3 years ago
5 0

Answer: The expression that represents the volume of the can (cylinder) is:

V=pi (2x+7) (x-3)^2

V=pi (2x^3-5x^2-24x+63)


Solution:

V=pi r^2 h

Radius of the cylinder: r=(x-3)

Height of the cylinder: h=(2x+7)

Replacing "r" by "(x-3)" and "h" by "(2x+7)" in the formula above:

V= pi (x-3)^2 (2x+7)

V=pi (2x+7) (x-3)^2

V=pi (2x+7) (x^2-2x(3)+3^2)

V=pi (2x+7)(x^2-6x+9)

V=pi ( 2x(x^2)-2x(6x)+2x(9)+7(x^2)-7(6x)+7(9) )

V=pi (2x^3-12x^2+18x+7x^2-42x+63)

V=pi (2x^3-5x^2-24x+63)

Luda [366]3 years ago
3 0
Pi(x-3)^2 *(2x + 7)

= 2pi(x)^3 - 5pi(x)^2 - 24pi(x) + 63pi

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1. In a game, if you roll a 6 on a 6-sided number cube, you lose a turn.
Mademuasel [1]
A) 1/6
B) 5/6
C) 1
D) 20

Explanation:

A) There is one 6 on a 6-sided die, out of 6 numbers.

B) There are 5 numbers that are not 6 on a 6 sided die, out of 6 numbers.

C) P( 6 or ~6) = P(6) + P(~6) = 1/6 + 5/6 = 6/6 = 1

D) 1/6(120) = 120/6 = 20
4 0
3 years ago
3. 5 points
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The Mixture B is the answer! Hope this helps
5 0
3 years ago
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Which equations support the fact that rational numbers are closed under subtraction?
Illusion [34]

Answer:

A rational number is said to be closed if the subtracted values and the result obtained are rational. Hence, the equations which supports the condition are :

5.5 - 0.5 = 4

5√4 - √4 = 4√4

Step-by-step explanation:

A.)

√8 - √8 = 0 ; the added values aren't rational and the result, Zero is not rational either.

B.)

5√4 - √4 = 4√4

5(2) - 2 = 2(2)

10 - 2 = 4

All the values in the expression are rational ; hence, it supports the assertion.

C)

5.5 - 0.5 = 4 ; all the values in the expression are rational, hence, it supports the fact.

2√3 - √3 = √3 ; the values in the expression are not rational, hence, it does not meet the condition.

Therefore, only options B and C supports the assertion.

Let me add that I learned most of this from Brainly a user named fichoh :)

7 0
2 years ago
If f(x) = x, then f(64) is equal to<br><br> a. 1/4<br> b. -8<br> c. -4<br> d. 4
blsea [12.9K]
B hope it helps have a good day
6 0
3 years ago
Helppppppppp pleaseeee Someoneeeee pleaseeee I neeed
Stella [2.4K]

Answer:

The minimum value of f(x) is 2

Step-by-step explanation:

  • To find the minimum value of the function f(x), you should find the value of x which has the minimum value of y, so we will use the differentiation to find it
  • Differentiate f(x) with respect to x and equate it by 0 to find x, then substitute the value of x in f(x) to find the minimum value of f(x)

∵ f(x) = 2x² - 4x + 4

→ Find f'(x)

∵ f'(x) = 2(2)x^{2-1} - 4(1)x^{1-1} + 0

∴ f'(x) = 4x - 4

→ Equate f'(x) by 0

∵ f'(x) = 0

∴ 4x - 4 = 0

→ Add 4 to both sides

∵ 4x - 4 + 4 = 0 + 4

∴ 4x = 4

→ Divide both sides by 4

∴ x = 1

→ The minimum value is f(1)

∵ f(1) = 2(1)² - 4(1) + 4

∴ f(1) = 2 - 4 + 4

∴ f(1) = 2

∴ The minimum value of f(x) is 2

7 0
2 years ago
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