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sergejj [24]
3 years ago
12

Simplify the expression (9)^3/2

Mathematics
2 answers:
kari74 [83]3 years ago
7 0
9^{ \frac{3}{2} } =   \sqrt{9^3} =  \sqrt{729}  = 27
Radda [10]3 years ago
7 0

Work is provided in the image attached.

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Classify the absolute value statements based on their values. |3| |-3| |-4| |4| |-5| |5|
Fittoniya [83]
The answers would be 3, 3, 4, 4, 5, 5. those are the answers. I don't know if that is what you wanted me to answer or not.
5 0
3 years ago
Read 2 more answers
What two numbers multiply to 54 and add up to 7
k0ka [10]
Xy = 54
x + y = 7

xy = 54
\frac{xy}{x} = \frac{54}{x}
y = \frac{54}{x}

x + y = 7
x + \frac{54}{x} = 7
\frac{x^{2}}{x} + \frac{54}{x} = 7
\frac{x^{2} + 54}{x} = 7
x^{2} + 54 = 7x
x^{2} - 7x + 54 = 0
x = \frac{-(-7) \± \sqrt{(-7)^{2} - 4(1)(54)}}{2(1)}
x = \frac{7 \± \sqrt{49 - 216}}{2}
x = \frac{7 \± \sqrt{-167}}{2}
x = \frac{7 \± i\sqrt{167}}{2}
x = \frac{7 \± 12.9i}{2}
x = 3.5 \± 6.45i
x = 3.5 + 6.45i    or    3.5 - 6.45i

                  x + y = 7
   3.5 + 6.45i + y = 7
- (3.5 + 6.45i)       - (3.5 + 6.45i)
                        y = 3.5 - 6.45i
                  (x, y) = (3.5 + 6.45i, (3.5 - 6.45i)

                          or

                  x + y = 7
   3.5 - 6.45i + y = 7
- (3.5 - 6.45i)     - (3.5 - 6.45i)
                       y = 3.5 + 6.45i
                 (x, y) = (3.5 - 6.45i, 3.5 + 6.45i)

The two numbers that add up to 7 and can multiply to 54 is 3.5 ± 6.45i.
5 0
3 years ago
Delaney bought a crate for her puppy when it was 3 months old. The crate is in the shape of a rectangular prism. Since the puppy
Alika [10]

Answer:

The volume of the new crate is exactly 174.4% of the old crate.

Step-by-step explanation:

Volume of a rectangular prism:

The volume of a rectangular prism of dimensions x, y and z is given by:

V = xyz

She decided that the dimensions of the new crate needs to be increased by 40% of the original length.

Each dimension is increased by 40%, which means that each is multiplied by 1 + 0.4 = 1.4. So

V = 1.4x(1.4y)(1.4z) = (1.4)^3(xyz) = 2.744(xyz)

Percentage:

The new volume is 2.744 the original volume. Considering the original volume is 100% = 1, it increased by 2.744 - 1 = 1.744 = 1.744*100% = 174.4%.

The volume of the new crate is exactly 174.4% of the old crate.

7 0
2 years ago
#13. 6x — Зу = 8
Ne4ueva [31]

#13

  • 6x — Зу = 8
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#14

  • 7x = 5y + 2
  • 5y = 7x - 2
  • y = 7/5x - 2/5
  • y = 1.4x - 0.4
  • The slope = 1.4
  • The y- intercept = - 0.4

#15

  • - 6у + 4х = 8
  • 6y = 4x - 8
  • y = 4/6x - 8/6
  • y = 2/3x - 4/3
  • The slope = 2/3
  • The y- intercept = -4/3

#16 is not clear

8 0
2 years ago
A chain fits tightly around two gears as shown. What is the radius of the smaller gear? Round your answer to the nearest tenth.
GrogVix [38]
Using the Pythagorean theorem we can solve for the radius

see attached picture: 

7 0
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