Answer:
22
Step-by-step explanation:
40x.55=22
The thirty-second term is 143
Further explanation:
As it is already given that the given sequence is an arithmetic sequence
We have to find the common difference first
So,


The common difference is 5.
And first term is -12
The explicit formula for arithmetic sequence is:

Putting the values in the formula

Putting n=32 in explicit formula

The thirty-second term is 143
Keywords: Common difference, Arithmetic Sequence
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Answer: 7
Step-by-step explanation:

Angle Side Angle Theorem (ASA)
The Angle Side Angle Postulate (ASA) says triangles are congruent if any two angles and their included side are equal in the triangles. An included side is the side between two angles.
The water level increases by 0.608 meters per minute when the water is 3.5 m deep
<h3>How to determine the rate?</h3>
The given parameters are:
- Radius, r = 3
- Height, h = 7
- Rate in, V' = 4.3m^3/min
The relationship between the radius and height is:
r/h = 3/7
Make r the subject
r = 3h/7
The volume of a cone is;

This gives

Expand

Differentiate

Make h' the subject

When the water level is 3.5.
We have:

Also, we have:
V' = 4.3
So, the equation becomes

Evaluate the products

Evaluate the quotient
h' = 0.608
Hence, the water level increases by 0.608 meters per minute
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