To simplify this fraction, multiply the entire fraction by the conjugate of the denominator. The conjugate of a square root and a number being added to it would be the number <em>subtracted </em>from the square root. In other words, the conjugate of
would be
.
Applying that information to our fraction shown here, the conjugate of the denominator would be
. We will multiply both the numerator and denominator of our original fraction by this expression to obtain our answer, as shown below.



Our answer is
.
Answer:
speed of boat is 12 miles per hour and the speed of current is 9 miles per hour
Step-by-step explanation:
Answer:
- The radius is r = 3 in,
- The height is h = 4 in
<u>The area of the base:</u>
- A(b) = πr² = π(3²) = 9π in²
<u>The circumference of the base:</u>
<u>The area of the lateral surface:</u>
- A(l) = Ch = 6π(4) = 24π in²
<u>The surface area:</u>
- S = 2A(b) + A(l) = 2*9π + 24π = 42π in²
Answer:
0.4 would represent the strongest correlation.
Step-by-step explanation:
Generally, a value of r greater than 0.7 is considered a strong correlation. Anything between 0.5 and 0.7 is a moderate correlation, and anything less than 0.4 is considered a weak or no correlation
Answer:
YEP! YOURE CORRECT!
Step-by-step explanation: