Answer: 12
Step-by-step explanation:
Given:
A = 452
r = √A/3
Step 1: Substitute 452sqf for A
r = √452/3
Step 2: Solve
452 ÷ 3 = 150.66∞
√150.66∞ = 12.27∞
12.27∞ rounded to the nearest integer equal 12
Well first we need to make our fractions have a common denominator. Since 24 is the higher one we will turn 6 into 24. In order to do that we have to multiply our top number and bottom number by 4. 4x6=24 and 3x4=12 therefore our new fraction is 12/24. Now add 6 and 3 which is 9. After adding 6 and 3 we add our fractions. Adding fractions is kind of odd because you only add the top numbers. So, we add 10 and 12 to get 22. Our final step is figuring out if we can simplify the fraction which in this care we can! So, in order to simplify this fraction we divide by 2 which will then make our fraction 11/12 which can not be simplified. So your final answer would be 9 and 11/12. Hope this helps! :)
Answer:
Here are some screenshots from my study guides on this, maybe they can help you.
Answer is option B.

Explanation:
5 to the power -2 can be written as

which will be

which will be

Answer:

Step-by-step explanation:
Let's break it down:
In the sinusoidal function
:
represents Amplitude
represents a constant related to the Period
represents Phase Shift
represents Vertical Shift
To find Amplitude, divide the entire height of the function (from top to bottom) by two, or find the vertical distance between the horizontal line of symmetry and the highest/lowest point of the wave. In this case, Amplitude is 2.
To find
, use
, where
is the period of the function. To find the period, count the horizontal distance of the length of one complete cycle. In this case, period is
and therefore
.
To find Phase Shift, find the horizontal shift from the parent function
. In this case, there is no phase shift.
To find Vertical Shift, find the vertical shift from the parent function
. In this case, vertical shift is -1.
Thus, we've found:
Substituting these values into
, we get:
