Answer:
I = 91.125
Step-by-step explanation:
Given that:
where E is bounded by the cylinder
and the planes x = 0 , y = 9x and z = 0 in the first octant.
The initial activity to carry out is to determine the limits of the region
since curve z = 0 and
∴ 

Thus, z lies between 0 to 
GIven curve x = 0 and y = 9x

As such,x lies between 0 to 
Given curve x = 0 ,
and z = 0,
y = 0 and

∴ y lies between 0 and 9
Then 











I = 91.125
Answer:
In descending order, 1, 4, 3
The number -3 written as a logarithm with a base of 2 is log₂(0.125) or log₂(1/8)
<h3>What are logarithms?</h3>
As a general rule, logarithms are mathematical expressions that are written in the form log(x) or ln(x), for natural logarithms
<h3>How to rewrite the number as a logarithm?</h3>
The number is given as:
x = -3
The base of the logarithm is given as:
Base = 2
To rewrite the given number as a base of 2, we take the exponent of the number where the base is 2
This is represented as:
Number =2^-3
Apply the power rule of indices
Number =1/2^3
Evaluate the exponent
Number = 1/8
Evaluate the quotient
Number = 0.125
Hence, when the number -3 is rewritten as a logarithm with base 2, the equivalent logarithm expression is log₂(0.125) or log₂(1/8)
Read more about logarithm at:
brainly.com/question/20785664
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Answer:
it is A bacause the fractions for that one are correct
Step-by-step explanation:
Answer:
226.9 in²
Step-by-step explanation:
The formula for circumference of a circle is:
C = 2πr, where π = 3.14 and r = the radius
The formula for area of a circle is
A = πr²
First, using the formula for circumference, you can solve for 'r':
53.42 = 2πr or 53.42 = 6.28r (divide) r = 8.5
Now, use the value of 'r' to solve for area:
A = π8.5² or 3.14(8.5)² = 226.9 in²