Answer:
do you have to expand it ?
Answer:

Step-by-step explanation:
<u>Equation Solving</u>
We are given the equation:

It's required to solve the equation for D. All letters must preserve their capitalization.
We must isolate the letter D by removing from the left side all the terms and coefficients that surround it.
Adding 7:

Dividing by f:

It can go up to four dimensional.
Answer:551.3212cm³
Step-by-step explanation:
Find the image attached
The volume is made up of a cone, cylinder and a hemisphere
Volume of the shape = Volume of cone + volume of cylinder + volume of hemisphere
Get the volume of the cone;
Volume of a cone Vc = 1/3πr²h
r is the base radius = 3.5cm
Height = 10cm
Vc = 1/3π(3.5)²(6)
Vc = 1/3π(12.25)(6)
Vc = 12.25 * 2π
Vc = 24.5π cm³
Get the volume of the cylinder;
Vcy = πr²h
r = 3.5cm
h = 10cm
Vcy = π(3.5)²(10)
Vcy = π(12.25)(10)
Vcy = π(122.5)
Vcy = 122.5π cm³
Get rhe volume of the hemisphere;
Volume of hemisphere = 2/3 πr³
r = 3.5cm
Vh = 2/3 π(3.5)³
Vh = 2/3π(42.875)
Vh = 28.58π cm³
Volume of the shape = VC + Vcy + Vh
Volume of the shape = 24.5π+122.5π+28.58π
Volume of the shape = 175.58π
<em>Volume of the shape = 551.3212cm³</em>
Answer:
a. 3/4 inches per minute
b. -1 1/8 inches per minute
c. B is fastest; 1 1/8 is more than 3/4
Step-by-step explanation:
A <em>change</em> is a <em>difference</em>. A <em>rate of change</em> is <em>one difference divided by another</em>, usually the change in y-value divided by the change in x-value.
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<h3>a.</h3>
The change in elevation is the difference between the elevation at the end of the period (6 inches) and the elevation at the beginning of the period (3 inches). The change in time period is the difference between the end time (8 min) and the beginning time (4 min).
change in elevation per minute = (6 -3 inches)/(8 -4 min)
= (3 inches)/(4 min) = 3/4 inches/minute
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<h3>b.</h3>
Similarly, ...
change in elevation per minute = (3 -7 1/2 inches)/(18 -14 min)
= (-4 1/2 inches)/(4 min) = -1 1/8 inches/minute
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<h3>c.</h3>
We know that 3/4 is more than -1 1/8, but when we talk about the "fastest rate of change", we're generally interested in the magnitude--the value without the sign. That means we understand a rate of change of -1 1/8 inches per minute to be "faster" than a rate of change of 3/4 inches per minute.
The rate of change from Part B is fastest. 1 1/8 inches per minute is more than 3/4 inches per minute.