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Vika [28.1K]
3 years ago
8

Which expression is equivalent to

Mathematics
2 answers:
Naily [24]3 years ago
5 0

Answer: 9 a^8 b^12 c^16

Step-by-step explanation:

4√81/16a^8b^12c^16

= 4 x 9/4a^8b^12c^16

= 9a^8b^12c^16

BARSIC [14]3 years ago
5 0

Answer:

Step-by-step explanation:

\sqrt[4]{\frac{81}{16}a^{8}b^{12}c^{16}}=\sqrt[4]{\frac{3*3*3*3}{2*2*2*2}a^{2*4}b^{3*4}c^{4*4}}\\\\ =\sqrt[4]{\frac{3^{4}}{2^{4}}(a^{2})^{4}(b^{3})^{4}(c^{4})^{4}}\\\\=\frac{3}{2}a^{2}b^{3}c^{4}

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A ribbon is 30cm long and it is cut into three pieces such that each piece is 2cm longer than the next. Represent this as an equ
Alisiya [41]

Answer:

Step-by-step explanation:

3 pieces such that each piece is 2 cm longer then the next...

x , x + 2, x + 4

x + x + 2 + x + 4 = 30

3x + 6 = 30

3x = 30 - 6

3x = 24

x = 24/3

x = 8

x + 2 = 8 + 2 = 10

x + 4 = 8 + 4 = 12

check...

8 + 10 + 12 = 30

18 + 12 = 30

30 = 30 (correct)...it checks out

the ribbon lengths are : 8 cm, 10 cm, and 12 cm

3 0
3 years ago
Read 2 more answers
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Nathan has a 25% chance of NOT being allergic to the drug. And then that 25% is 98% accurate so:

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8 0
3 years ago
A cylinder has a height h, and a radius (3h-2)
tekilochka [14]

Answer:

V= 4\pi (9h^2 -12h + 4)

Step-by-step explanation:

Given

Shape: Cylinder

Radius = 3h - 2

Height = h

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Required

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The volume is calculated as:

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Substitute values for Base Area and Height

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Expand the bracket

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Open brackets

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2 years ago
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Ok, so the function form is y = a * bx.
Substitute in the values:
750 = a * b5
and
48 = a * b2
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So:
15.625 = b3
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2.5 = b
Now, substitue b into one of the equations (the one with 48 has smaller numbers and is easier to work with.)
48 = a * 2.52
Simplify.
48 = a * 6.25
Divide both sides by 6.25
7.68 = a
Now substitute in a and b to write the exponential function:
y = 7.68 * 2.5x
7 0
3 years ago
A local carpet company has been hired to carpet a planetarium which is in the shape of a circle. If the radius of the planetariu
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