Answer:
The inverse of the function is .
Step-by-step explanation:
The function provided is:
Let .
Then the value of <em>x</em> is:
For the inverse of the function, .
⇒
Compute the value of as follows:
Hence proved that .
Compute the value of as follows:
Hence proved that .
Answer:
17.97=x
Step-by-step explanation:
tan theta = opposite side/ adjacent side
tan 38 = x /23
Multiply each side by 23
23 * tan 38 = x/23 * 23
23 tan 38 = x
17.96956941 =x
To the nearest hundredth
17.97 =x
Answer:
B) the cube of 4 and then take the square root
Step-by-step explanation:
43/2 = 21.5
___
The answer choices suggest you want ...
4^(3/2) . . . . . . . appropriate math symbols are very helpful
This can be evaluated several ways:
_____
Since the 3 is in the numerator of the fraction, it represents a cube, not a cube root. Any of the answer choices suggesting cube root is involved are incorrect. (Eliminating those leaves only the correct answer choice.)
The total amount the carpenter will spend if the rope costs $3.82 per foot is $35.526
<h3>How to determine how much will the carpenter spend if the rope costs $3.82 per foot?</h3>
The length of rope is given as:
Length = 9.3 feet
The price per rope is given as:
Price per rope = $3.82 per foot
The total amount spent by the carpenter is calculated as:
Total amount = Length * Price per rope
Substitute the known values in the above equation
Total amount = 9.3 feet * $3.82 per foot
Evaluate the product
Total amount = $35.526
Hence, the total amount the carpenter will spend if the rope costs $3.82 per foot is $35.526
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<u>Answer</u>:
The correct option is C : x² + (y +3)² = 9 .
<u>Step-by-step explanation:</u>
We know that the general equation for a circle is ( x - h )² + ( y -k )²= r², Where,
- r is the radius.
- (h , k) is the center.
Let the point be ( 0 , -y) , since it is on negative y axis . And the circle passes through the origin that is (0,0) . Hence the center will be 3 units down the y - axis that is ( 0 , -3) .Hence h will be 0 and y = (-3) .
Now its given that the radius of the circle is 3. So on substituting r = 3 , in standard form we have ,
⇒ ( x -h )² + ( y - k )²= r²
⇒ ( x - 0)² + { y - (-3) }² = 3²
⇒ x² + ( y + 3) ² = 3²
⇒ x² + ( y + 3)² = 9
<h3>
<u>Hence the correct option is C [ x² + ( y+3)² = 9 ] .</u></h3>
• Note that I have attached the graph of the same .