The graph of y = x + 2 is the obtained by shifting the graph of y = x, 2 units upwards.

The graph of y = x - 1.2 is the obtained by shifting the graph of y = x, 1.2 units downwards.

5 0

4 years ago

A sphere with a radius of 4 cm is enlarged by a scale factor of 2. What is the approximate volume of the new sphere in cubic cen

Lisa [10]

$\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ \stackrel{original}{r=4}\\ \stackrel{enlarged}{r=(4)(2)} \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (\stackrel{enlarged}{~~(4)(2)~~})^3}{3} \\\\\\ V=\cfrac{2048\pi }{3}\implies V\approx 2144.66~cm^3 \end{array}$

5 0

2 years ago

1. What is the minimum number of vertices in a binary tree with height 5? What is the maximum number of vertices in a binary tre

Hunter-Best [27]

Answer:

Height = 5

Minimum number of vertices in a binary tree

whose height is h.

So, there must be At least one node at each of first h levels.

Minimum number of vertices = h

So, Minimum number of vertices of height 5 is 5

The maximum number of nodes in a binary tree of height h = $2^{h+1}- 1$

Substitute h = 5

The maximum number of nodes in a binary tree of height 5 = $2^{5+1}- 1$

The maximum number of nodes in a binary tree of height 5 = 63

So, the maximum number of vertices in a binary tree with height 5 is 63

6 0

3 years ago

The value of 1 by 2 x 3 by 2 is equal toa)3/10b)1/2c)2/5d)1/3​

The value of 1 by 2 x 3 by 2 is equal toa)3/10b)1/2c)2/5d)1/3