Answer: log₂
+ 1 = n
<u>Step-by-step explanation:</u>
h(n) = 6 * 2ⁿ⁻¹
<u> ÷6 </u> <u>÷6 </u>
= 2ⁿ⁻¹
log₂
= log₂(2ⁿ⁻¹) →→<em>log₂2 cancels out</em>
log₂
= n - 1
log₂
= n
Answer:
1304.5 balance after 5 months
Step-by-step explanation:
first you subtract 400 from 1722 to find the balance she will have which is 1322. then you must multiply 3.5 x 5= 17.50. now subtract 17.50 from 1322 and you get her balance after 5 months
Answer:The mode if 5, because 5 occurs 8 times, which is more than any other numbers occurring more than once. The median is 6, and this is because when you line up the numbers in order and cross them off to find the middle number, it is 6. I rounded to the mean to about 6.4. I got this by adding all of the numbers up, or by doing 12 + 40 +18 +7, etc, and got the total of 165. Because there is a total of 26 data points, I divided those numbers and got 6.3461, which ends up rounding to 6.4.
Step-by-step explanation:
Answer:
4a. See attached.
4b. 32
6. x = 4.5, LM = 7.5, LN = 10.5
Step-by-step explanation:
4b. The midline of a triangle is half the length of the baseline it is parallel to. Hence the segment FH is twice the length of CD, or 2·16 = 32.
___
6. The angle bisector MP divides the triangles segments so those on one side of it are proportional to corresponding ones on the other side of it. Here, that means ...
x/(x+3) = 6/10
10x = 6x + 18 . . . . multiply by 10(x+3)
4x = 18 . . . . . . . . . subtract 6x
x = 4.5 . . . . . . . . . divide by 4
Then segment LM is x+3 = 4.5+3 = 7.5, and LN = x+6 = 4.5+6 = 10.5.
The blanks are filled as ...
x = 4.5 LM = 7.5 LN = 10.5