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2 years ago

-1/2 times -2/3 times -6/7=

Mathematics

1 answer:

fenix001 [56]2 years ago

8 0

Answer:

Exact Form: −2/7

Decimal Form: -0. 285714

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3 years ago

How to solve the equation: -2(-3x-4)=14

Varvara68 [4.7K]

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2 years ago

(x^2 - x^(1/2))/(1-x^(1/2))

Levart [38]

$\frac { \left( { x }^{ 2 }-{ x }^{ \frac { 1 }{ 2 } } \right) }{ \left( 1-{ x }^{ \frac { 1 }{ 2 } } \right) }$

$\\ \\ =\frac { \left( { x }^{ 2 }-\sqrt { x } \right) }{ \left( 1-\sqrt { x } \right) } \cdot 1$

$\\ \\ =\frac { \left( { x }^{ 2 }-\sqrt { x } \right) }{ \left( 1-\sqrt { x } \right) } \cdot \frac { \left( 1+\sqrt { x } \right) }{ \left( 1+\sqrt { x } \right) }$

$\\ \\ =\frac { { x }^{ 2 }+{ x }^{ 2 }\sqrt { x } -\sqrt { x } -x }{ 1+\sqrt { x } -\sqrt { x } -x }$

$\\ \\ =\frac { -\sqrt { x } \left( 1-{ x }^{ 2 } \right) -x\left( 1-x \right) }{ \left( 1-x \right) }$

$\\ \\ =\frac { -\sqrt { x } \left( 1+x \right) \left( 1-x \right) -x\left( 1-x \right) }{ \left( 1-x \right) }$

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$\\ \\ =-\sqrt { x } \left( 1+x \right) -x\\ \\ =-{ x }^{ \frac { 1 }{ 2 } }\left( 1+{ x }^{ \frac { 2 }{ 2 } } \right) -x$

$\\ \\ =-{ x }^{ \frac { 1 }{ 2 } }-{ x }^{ \frac { 3 }{ 2 } }-x\\ \\ =-\sqrt { x } -\sqrt { { x }^{ 3 } } -x$

3 0

3 years ago

Read 2 more answers

Ok so I found the area of a rectangle.

Kay [80]

Answer:

circle area = 1963.495 ft²

Step-by-step explanation:

Given

A rectangle 550 ft by 350 ft packed with circles on a rectangular grid

Find

the area of the largest circle that can be packed this way

Solution

The diameter of the circle must be a factor of both 350 and 550. We want the diameter to be the largest such factor. We can write the factors of 350 and 550 as ...

350 = 50 × 7
550 = 50 × 11

The largest factor common to both numbers is 50, so that will be the diameter of the largest circle that will fit on a square grid.

The area of a circle is commonly given by the formula ...

A = πr² . . . . . where r represents the radius of the circle.

The radius is half the diameter, so will be (50 ft)/2 = 25 ft. And the area of the circle is ...

A = π(25 ft)² = 625π ft² ≈ 1963.495 ft²

The area of one circle is about 1963.495 square feet.

_____

The total number of circles is 11×7 = 77. Their total area is 77×1963.495 ft² ≈ 151,189 ft². This is 151,189/192,400 ≈ 78.54% of the total area of the rectangle.

6 0

3 years ago