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Svetradugi [14.3K]
3 years ago
12

What is the simplified form of the expression? (picture attached)

Mathematics
1 answer:
LenaWriter [7]3 years ago
4 0
1- Let's solve the numerator Inside the bracket m⁻¹.m⁵ =m⁽⁻¹⁺⁵⁾ =m⁽⁴⁾

2- numerator/denominator = m⁽⁴⁾ / m⁻² = m⁽⁴⁾⁻⁽⁻²⁾  =m⁶

3- Now let' include it in the parenthesis:[ m⁶]⁻³ =m⁻¹⁸ =1/m¹⁸<u />
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Find a common denominator for the pair of fractions.​ Then, write equivalent fractions with the common denominator.
DerKrebs [107]
4/12? It may be wrong, not sure
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A sign company charges $28 per yard for each custom made banner. Ms gill orders 2 banners that are each 17/8 yards long and 1 ba
vampirchik [111]
You start by writing your expression. Since each banner cost 28 per yard, you're going to multiply the price by the length by the number of banners she bought. (28)(17/8)(2)+(28)(25/8)=206.50
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3 years ago
A wedge of cheese in the shape of a triangular prism is shown below.
BabaBlast [244]

Answer:

144 ft^2

Step-by-step explanation:

Back (vertical):  (4 ft)(8 ft) = 32 ft^2

Right side (vert.):  (4 ft)(6 ft) = 24 ft^2

Front (vert.):  (4 ft)(10 ft) = 40 ft^2

Top (horizontal):  A = (1/2)(6 ft)(8 ft) = 48 ft^2 total (top and bottom)

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7 0
3 years ago
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V125BC [204]
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3 0
3 years ago
Pls answer Question 28 and 29 asap.
Kaylis [27]

28. Answer:  86% decrease

<u>Step-by-step explanation:</u>

Original Sphere has a radius of 100%   →  r =1

Surface Area of Original Sphere:

S.A. = 4πr²

       = 4π(1)²

       = 4π


New Sphere has a diameter of 75%   →   d = 0.75    →    r = 0.375

Surface Area of New Sphere:

S.A. = 4πr²

       = 4π(0.375)²

       = 0.5625π


\text{\% Change} =\dfrac{New - Original}{Original}\\\\.\qquad \qquad =\dfrac{0.5625\pi -4\pi}{4\pi}\\\\.\qquad \qquad =\dfrac{-3.4375\pi}{4\pi}\\\\.\qquad \qquad =-0.86

<em>The negative sign represents a decrease.</em>

*********************************************************************************

29. Answer:  72 bottles

<u>Step-by-step explanation:</u>

Volume of a hemisphere is:

V=\dfrac{2}{3}\pi r^3\\\\.\quad =\dfrac{2}{3}\pi (18)^3\\\\.\quad = 3888\pi

Volume of a cylinder is:

V=\pi r^2h\\\\.\quad =\pi (3)^2(6)\\\\.\quad =54\pi

The number of cylinders needed is:

\dfrac{3888\pi}{54\pi} = 72


4 0
2 years ago
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