Answer:
On combining the beads they can make 20 bracelets.
Step-by-step explanation:
The number of beads Samantha has = 54 beads
Number of beads Amanda has = 2 x( Number of beads Samantha has)
= 2 x 54 = 108 beads
The total number of beads Amanda and Samantha has
= 54 beads + 108 beads
= 162 beads
Number of beads required to make 1 bracelet = 8 beads
Now, 
=
≈ 20
or, the total number of bracelets they can make is 20.
Hence, on combining the beads they can make 20 bracelets .
Answer:
1. 40.00 sq units
2. 37.5 sq units
Step-by-step explanation:
1. Given slant height as 3 and the square base side as 4,
-The surface area of a right squared pyramid is calculated by summing the areas of the 4 triangles and the square base:

Hence, the area of the square pyramid is 40.00 sq units
2. The surface area of a cube is equivalent to 6 times the side of one face.
-Given the dimension of the sides as 2.5, surface area is obtained as:

Hence, the surface area of the cube is 37.5 sq units
Answer:
The inverse of the function is
.
Step-by-step explanation:
The function provided is:

Let
.
Then the value of <em>x</em> is:

For the inverse of the function,
.
⇒ 
Compute the value of
as follows:
![f[f^{-1}(x)]=f[\frac{x-5}{3}]](https://tex.z-dn.net/?f=f%5Bf%5E%7B-1%7D%28x%29%5D%3Df%5B%5Cfrac%7Bx-5%7D%7B3%7D%5D)
![=3[\frac{x-5}{3}]+5\\\\=x-5+5\\\\=x](https://tex.z-dn.net/?f=%3D3%5B%5Cfrac%7Bx-5%7D%7B3%7D%5D%2B5%5C%5C%5C%5C%3Dx-5%2B5%5C%5C%5C%5C%3Dx)
Hence proved that
.
Compute the value of
as follows:
![f^{-1}[f(x)]=f^{-1}[3x+5]](https://tex.z-dn.net/?f=f%5E%7B-1%7D%5Bf%28x%29%5D%3Df%5E%7B-1%7D%5B3x%2B5%5D)

Hence proved that
.
Answer:
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