Answer:
15 of $3 books and 4 of the $8 books
Step-by-step explanation:
15×3= 45
8 × 4= 34
45+32= 77
If 28 is the distance that he is from the starting point then
so 10 to the right
+10
then 3 to the left
-3powerjump
10-3pj
total jump length must be to the left because 10 is less than 28 and he can't jump negative feet
absolute value
|10-3p|=28
since we assume that he jumped 28 feet to the left, we can assuume
10-3p=-28
subtract 10 from both sides
-3p=-38
divide by -3
powerjump=12 2/3
or if the problem is he jumped 28 feet in total then
10+3p=28
subtract 10 from both sdies
3p=18
divie by 3
powerjump=6
Answer: company A: 1.36
company B: 1.54 A; lowest expected number of defective boards
Step-by-step explanation:
i got it right on edge
Answer:
See below.
Step-by-step explanation:
Base case:
Replace n with 1.
7^(2×1+1)+1
7^3+1
343+1
344
8 is a factor of 344 since 344=8(43).
Induction hypothesis:
Assume there is some integer n such that 7^(2k+1)+1=8n for positive integer k.
7^(2[k+1]+1)+1
7^(2k+3)+1
7^(2k+1+2)+1
7^(2k+1)7^2+1
49×7^(2k+1)+1
Induction step:
49×(8n-1)+1
49(8n)-49+1
49(8n)-48
8[49n-6]
This means 8 is a factor of 7^(2(k+1)+1)+1.
Thus, this proves for all positive integer n that 8 is a factor of 7^(2n+1)+1.
Answer:
-3.52
Step-by-step explanation:
-2.2 x (-2) / (- 1/4) x 5 PEMDAS
4.4 / -1.25
-3.52
