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zloy xaker [14]
3 years ago
12

Water is being poured into a container in the shape of a right circular cone with a radius of 4 ft and height of 16 ft. Find a f

unction that models the volume V of the water in the cone in terms of the height (h) of the water.
Mathematics
1 answer:
zmey [24]3 years ago
8 0

Answer:

V=pi*\frac{16 h}{3}

Step-by-step explanation:

Volume of a right circular cone can be found using the equation

V=pi*\frac{r^{2} h}{3} where

  • r is the radius of the cone
  • h is  the height of the cone
  • pi is the π constant

Since r=4ft, we can model the volume of the water in the cone in terms of the height as

V=pi*\frac{4^{2} h}{3} =pi*\frac{16 h}{3}

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_16. Which expression is equivalent to
Phantasy [73]

Answer:

-2x-8

Step-by-step explanation:

1) Distribute:

-6/3x+-15/3-3

2) Simplify:

-2x-5-3

3) combine like terms:

-2x-8

hope this helps

5 0
3 years ago
Help me please !!!
Nat2105 [25]

Answer:

For 3x^2+4x+4=0

Discriminant= = -32

The solutions are

(-b+√x)/2a= (-2+2√-2)/3

(-b-√x)/2a= (-2-2√-2)/3

For 3x^2+2x+4=0

Discriminant= -44

The solutions

(-b+√x)/2a= (-1+√-11)/3

(-b-√x)/2a= (-1-√-11)/3

For 9x^2-6x+2=0

Discriminant= -36

The solutions

(-b+√x)/2a= (1+√-1)/3

(-b-√x)/2a= (1-√-1)/3

Step-by-step explanation:

Formula for the discriminant = b²-4ac

let the discriminant be = x for the equations

The solution of the equations

= (-b+√x)/2a and = (-b-√x)/2a

For 3x^2+4x+4=0

Discriminant= 4²-4(3)(4)

Discriminant= 16-48

Discriminant= = -32

The solutions

(-b+√x)/2a =( -4+√-32)/6

(-b+√x)/2a= (-4 +4√-2)/6

(-b+√x)/2a= (-2+2√-2)/3

(-b-√x)/2a =( -4-√-32)/6

(-b-√x)/2a= (-4 -4√-2)/6

(-b-√x)/2a= (-2-2√-2)/3

For 3x^2+2x+4=0

Discriminant= 2²-4(3)(4)

Discriminant= 4-48

Discriminant= -44

The solutions

(-b+√x)/2a =( -2+√-44)/6

(-b+√x)/2a= (-2 +2√-11)/6

(-b+√x)/2a= (-1+√-11)/3

(-b-√x)/2a =( -2-√-44)/6

(-b-√x)/2a= (-2 -2√-11)/6

(-b-√x)/2a= (-1-√-11)/3

For 9x^2-6x+2=0

Discriminant= (-6)²-4(9)(2)

Discriminant= 36 -72

Discriminant= -36

The solutions

(-b+√x)/2a =( 6+√-36)/18

(-b+√x)/2a= (6 +6√-1)/18

(-b+√x)/2a= (1+√-1)/3

(-b-√x)/2a =( 6-√-36)/18

(-b-√x)/2a= (6 -6√-1)/18

(-b-√x)/2a= (1-√-1)/3

6 0
3 years ago
Write a recursive rule for the sequence 4,10,16,22
Phantasy [73]

Answer:

a_{n+1} = a_{n} + 6

Step-by-step explanation:

The terms have a common difference d between consecutive terms, that is

10 - 4 = 16 - 10 = 22 - 16 = 6

To obtain the next term add 6 to the previous term ( recursive rule ), thus

a_{n+1} = a_{n} + 6 with a₁ = 4

8 0
3 years ago
How long is the wire supporting the sign
Serga [27]
Use pythagorean theorem
c2 = a2 + b2
c2 = 1.5^2 + 2^2
c2 = 2.25 + 4
c2 = 6.25
c = 2.5
7 0
3 years ago
What is an explicit formula for the geometric sequence 64,16,4,1,... where the first term
olya-2409 [2.1K]

Answer:

A

Step-by-step explanation:

The explicit formula for a geometric sequence is

f(n) = f(1) (r)^{n-1}

where f(1) is the first term and r the common ratio

Here f(1) = 64 and r = \frac{f(2)}{f(1)} = \frac{16}{64} = \frac{1}{4} , then

f(n) = 64 (\frac{1}{4}) ^{n-1} → A

7 0
3 years ago
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