**Answer:**

**Step-by-step explanation:**

Volume of the shipping container = Lengt * Breadth * Height

Given

Length = 4x² + 3x

Breadth = x² – 8

Height = 6x +15

Volume of the container = ( 4x² + 3x)( x² - 8)(6x+15)

( 4x² + 3x)( x² - 8) = 4x⁴-32x²+3x³-24x

( 4x² + 3x)( x² - 8) = 4x⁴+3x³-32x²-24x

(4x⁴+3x³-32x²-24x)(6x+15) = 24x⁵+60x⁴+18x⁴+45x³-192x³-480x²-144x²-360x

Collect like terms

( 4x² + 3x)( x² - 8)(6x+15) = 24x⁵+78x⁴-147x³-624x²-360x

**Hence the standard form polynomial representing the volume of this shipping container is expressed as V = 24x⁵+78x⁴-147x³-624x²-360x**

**Answer:**

r=4cm

d Diameter

cm

d

r

r

r

d

d

C

A

Unit Conversion:

d=8cm

Using the formula

d=2r

Solving forr

r=d

2=8

2=4cm

**Step-by-step explanation:**

Using two points to find the slope use

y2-y1/x2-x1

i chose points (0,4) and (2,14)

14-4/2-0

10/2

5

The slope is 5

Answer: 1/6

Step-by-step explanation:

The probability of rolling 5 on the first die is the same as the probability of rolling a six on the second die. ie 1/6

**Answer:**

n=0

**Step-by-step explanation:**

See pictures

Hope this helps ^-^