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zhuklara [117]
2 years ago
12

PLS HELP!! WILL GIVE BRAINLIEST!!

Mathematics
2 answers:
docker41 [41]2 years ago
7 0

Answer:

2x

____

x+7

Step-by-step explanation:

Ann [662]2 years ago
4 0

Answer:

Step-by-step explanation:

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Find the volume of the solid that lies inside both the cylinder x 2 y 2 = 1 and the sphere x 2 y 2 z 2 = 16
IrinaVladis [17]

The volume of the solid that lies inside both the cylinder x² + y² = 1 and the sphere x² + y² + z² = 16 is 24.74 cubic units.

<h3>What is the volume of the solid?</h3>

Find the volume of the solid that lies inside both the cylinder x² + y² = 1 and the sphere x² + y² + z² = 16

From the sphere and cylinder, the cylindrical coordinate will be

z = \pm \sqrt{16 - r^2}

And the radius of the cylinder is |r| < 1 and the 0 ≤ θ ≤ 2π.

Then the volume will be given as

\rm V = \int _0^{2\pi} \int _0^1 \int _{- \sqrt{16 - r^2}}^{\sqrt{16-r^2}} \left ( r \ dz \ dr \ d\theta  \right ) \\\\\\V = 2\pi \int_0^1 \left ( 2r\sqrt{16-r^2} \right ) \ dr\\\\\\V = 4\pi \left [ -\dfrac{1}{3} (16 - r^2)^{3/2} \right ]\\\\\\V = \dfrac{4\pi}{3} \left ( 16^{3/2} - 15^{3/2} \right )\\\\\\V = 24.74

More about the volume of the solid link is given below.

brainly.com/question/23705404

#SPJ4

7 0
2 years ago
Helpp please please please
Harrizon [31]

Answer:

The ordered pairs in the <em>inverse of g = </em>{(-3, 5), (1, 4), (-2, 3), (0, 2)}

Step-by-step explanation:

Given that:

Relation <em>g</em> is given by the following table of values:

\begin{center}\begin{tabular}{ c c }x & y \\5 & -3 \\4 & 1\\3 & -2\\2 & 0\\\end{tabular}\end{center}

To find:

The ordered pairs in the inverse of relation <em>g.</em>

Solution:

First of all, let us learn about domain and range of a relation y=f(x).

Domain of a relation is the values of x that are given as input to the relation.

Range of a relation is the values of y\ or\ f(x) that come as the output of the relation.

When we take the inverse of any relation,

  • The Domain of Actual Relation becomes Range of the Inverse relation.
  • The Range of Actual Relation becomes Domain of the Inverse relation.

Now, let us have a look at the domain of given relation <em>g.</em>

Domain of g = set of values of x = {5, 4, 3, 2}

Range of g = set of values of y = {-3, 1, -2, 0}

Ordered pairs will be like (x, y)

Ordered pairs in <em> g </em>are: {(5, -3), (4, 1), (3, -2), (2, 0)}

The ordered pairs in the <em>inverse of g = </em>{(-3, 5), (1, 4), (-2, 3), (0, 2)}

8 0
3 years ago
R(x)=x(65-3x)
Schach [20]

Answer: P(x) = -3x^2 + 49x - 105

Step-by-step explanation:

The revenue accrued is the total income from sales or services rendered irrespective of the cost of purchase, production or rendering of the service. It means that revenue is the sum of cost and and profit.

From the information given, the revenue is expressed as a function,

Revenue = R(x)=x(65-3x) = 65x - 3x^2

The cost function is expressed as

C(x)=105+16x

Revenue = Profit + Cost

Therefore,

R(x) = P(x) + C(x)

65x - 3x^2 = P(x) + 105+16x

P(x) = -3x^2 + 65x - 16x - 105

P(x) = -3x^2 + 49x - 105

7 0
3 years ago
Graph: f(x) = 0.8|x|
tiny-mole [99]

Answer:

it will be shrunk by a factor of 0.8

Step-by-step explanation:

i just got it right

5 0
3 years ago
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Answer:

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Step-by-step explanation:

5 0
3 years ago
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