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forsale [732]
4 years ago
12

Simplify: 4(3 – x) – 3(-5 – 12x)

Mathematics
2 answers:
GaryK [48]4 years ago
8 0
4(3-x) - 3(-5 -12x)
12 - 4x + 15 + 12x
8x +27
OleMash [197]4 years ago
3 0
<span>4(3 – x) – 3(-5 – 12x)
= 12 - 4x + 15 + 36x
= 27 + 32x

Hope this helps!</span>
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A tank in the shape of a hemisphere has a radius of 15 feet. If the liquid that fills the tank has a density of 97 pounds per cu
IceJOKER [234]

Answer:

  685,653 lb

Step-by-step explanation:

The weight of the liquid can be found by multiplying its volume by its density. The volume will be that of a hemisphere, which can be found using the appropriate formula.

<h3>Hemisphere volume</h3>

The volume of a hemisphere with radius r is given by ...

  V = (2π/3)r³

When the radius is 15 ft, the volume is ...

  V = (2π/3)(15 ft)³ = 2250π ft³

<h3>Weight</h3>

The weight of the liquid in the tank is found using the density.

  W = ρV

  W = (97 lb/ft³)(2250π ft³) = 218250π lb ≈ 685,653 lb

The total weight of the liquid in the tank is about 685,653 pounds.

5 0
2 years ago
If g(n) varies inversely with n and g(n) = 8 when n = 3, find the value of n when g(n) = 6.
Anettt [7]

Answer:

4

Step-by-step explanation:

g(n) varies inversely with n.

This can be expressed alternatively as \[g(n) = \frac{k}{n}\] where k is a constant value.

Given that when n = 3, g(n) = 8.

This implies, \[8 = \frac{k}{3}\]

Simplifying the equation to solve for k, k = 8 * 3 = 24

Now when g(n) = 6, \[g(n) = \frac{k}{n}\]

\[6 = \frac{24}{n}\]

Calculating the value of n, \[n = \frac{24}{6}\] = 4

So the required value of n is 4.

4 0
3 years ago
Read 2 more answers
What is the answer to 2(x-3)-4(x+3)
Lyrx [107]

Step-by-step explanation:

2 (x-3)-4 (x+3)

  • 2x-6-4x-12
  • -2x-18
  • -2(x+9)
7 0
3 years ago
Read 2 more answers
F(x)=∣x∣
elixir [45]

Answer:

Step-by-step explanation:

There are two transformations, one vertical, one horizontal.

The + 9 part outside the absolute value sign moves the graph up 9 units.

Replacing  x  with  x - 1 moves the graph right 1 unit.

<em>Comment:</em>  The horizontal shifts sometimes appear backwards:  x - 1 looks like a shift to the left, but it's not.

Example:  f(4) = |4| = 4.  To get the same output (4) from g(x), you have to use a value for  x  that is 1 unit <u>larger</u> than 4.  g(5) = |5 - 1| = 4.

5 0
3 years ago
Find the diameter of a circle whose circumference is 74cm
jenyasd209 [6]
  • <em>Answer:</em>

<em>≈ 24 cm</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there !</em>

<em>c = 2πr  } => c = πd => d = c/π</em>

<em>2r = d</em>

<em>replace c ; π</em>

<em>π  =3.14</em>

<em>d = 74cm/3.14</em>

<em>= 23.5668</em>

<em>≈ 24 cm</em>

<em>Good luck !</em>

4 0
4 years ago
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