The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.
<h3>How to determine the instantaneous rate of change of a given function</h3>
The <em>instantaneous</em> rate of change at a given value of
can be found by concept of derivative, which is described below:

Where
is the <em>difference</em> rate.
In this question we must find an expression for the <em>instantaneous</em> rate of change of
if
and evaluate the resulting expression for
. Then, we have the following procedure below:




Now we evaluate
for
:

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>. 
To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037
Answer:
9.7*10^9 or 9,700,000,000
Step-by-step explanation:
To find the answer, multiply 9.7 * 10^6 by 1000 times becasue 1kg = 1000g, we got:
9.7 * 10^6 * 1000 = 9.7*10^9 or 9,700,000,000
Hope this help you :3
The ratio of people that can be served to milligrams of baking soda needed is:
Serving : Baking Soda
2 : 1600mg
Since you want 10 people, you can multiply this ratio by 5:5 to get
10 people served = 8000mg needed
8000mg = 8 grams
Answer:
Unsimplified answer
713:850
Step-by-step explanation:
850-137=713
713:850
The total area is 78 sq. ft.
Since the medal platform has different measurements, we need to individually compute the area of each polygon.
The top polygon is a square. Its sides measure 3 ft.
A₁ = a²
A₁ = 3 ft²
A₁ = 9 ft²
The middle polygon is a rectangle.
Its total width can be derived by adding the widths given and the width of the square above.
w = 3 ft + 3 ft + 3 ft
w = 9 ft
A₂ = width * height
A₂ = 9 ft * 2 ft
A₂ = 18 ft²
The bottom polygon is also a rectangle.
w = 4 ft + 9 ft + 4 ft
w = 17 ft
A₃ = width * height
A₃ = 17 ft * 3 ft
A₃ = 51 ft²
Total Area = A₁ + A₂ + A₃
T.A. = 9 ft² + 18 ft² + 51 ft²
T.A. = 78 ft²