Answer:
Width of the rectangular prism
To determine the volume of the rectangular prism, we utilize the following formula:
v = lwh
Where:
v = volume
l = length
w = width
h = height
Now,
The variables provided in the problem include:
v = 138.24 cubic inches
h = 9.6 inches
l = 3.2 inches
w = ?
By substituting these values into the volume formula, we have:
138.24 = 3.2 * w * 9.6
138.24 = 30.72 * w
w = 138.24/30.72
w = 4.5
⇒ Therefore, the width of the rectangular prism measures 4.5 inches.
I'm uncertain if this is accurate.
The problem states the dividend per share is 56.25. To calculate the total dividend PRH receives, the total shares owned by PRH should be provided. In any case, the dividend can be found with this formula:
Dividend = 56.25 × (Number of Shares)
Answer:
150
Step-by-step explanation:
We perform addition.
a) The total of 48 added to itself
= 48 + 48 = 96
b) Its half plus half of the half
= 96 + (1/2 × 48) + (1/2 × (1/2 × 48)
= 96 + 24 + (1/2 × 24)
= 96 + 24 + 12
= 132
c) plus 18
= 132 + 18
= 150
Thus, adding 48 to itself, its half, and half of that to 18 results in 150.
If you were to express each of these using <, >, >=, or <=, the following representations would result:
A. >= 50
B. < 50
C. >50
D. <50
As you can observe, the correct choice is A. At most 50, indicating that 50 is part of the answer
Answer: the directional derivative value of the pressure function at Kearney moving toward Sioux City is - 0.09 mb/km
Step-by-step explanation:
Let’s assume P represents the pressure function
The calculation for the directional derivative of pressure at Kearney directed towards Sioux City will be denoted as DuP
The line connecting Kearney to Sioux City starts on the level curve representing a pressure of 1000mb
and ends on the level curve representing a pressure of 972 mb
thus letting X1 = 1000 mb
X2 = 972 mb
the distance between Kearney and Sioux is d = 300 km
So to approximate the directional derivative DuP at Kearney towards Sioux City, we assess the average rate of pressure change between both locations
therefore DuP = (X2 - X1) / d
= (972 - 1000) / 300
= -28 / 300
= - 0.09 mb/km
Thus, the directional derivative value of the pressure function at Kearney in the direction of Sioux City is - 0.09 mb/km
