Answer:
4 and the correct answer is 34
Step-by-step explanation:
One nice thing about this situation is that you’ve been given everything in the same base. To review a little on the laws of exponents, when you have two exponents with the same base being:
– Multiplied: Add their exponents
– Divided: Subtract their exponents
We can see that in both the numerator and denominator we have exponents *multiplied* together, and the product in the numerator is being *divided* by the product in the detonator, so that translates to *summing the exponents on the top and bottom and then finding their difference*. Let’s throw away the twos for a moment and just focus on the exponents. We have
[11/2 + (-7) + (-5)] - [3 + 1/2 + (-10)]
For convenience’s sake, I’m going to turn 11/2 into the mixed number 5 1/2. Summing the terms in the first brackets gives us
5 1/2 + (-7) + (-5) = - 1 1/2 + (-5) = -6 1/2
And summing the terms in the second:
3 + 1/2 + (-10) = 3 1/2 + (-10) = -6 1/2
Putting those both into our first question gives us -6 1/2 - (-6 1/2), which is 0, since any number minus itself gives us 0.
Now we can bring the 2 back into the mix. The 0 we found is the exponent the 2 is being raised to, so our answer is
2^0, which is just 1.
Answer:
It's D
Step-by-step explanation:
<h3>
Answer:</h3>
He will need at least 122 tiles
<h3>
Step-by-step explanation:</h3>
Get the area of the tiles
5*14= 70 square inches per tile
Divide the floor area by the tile area
8,500/70
121.428571
Round up
122
Nicoles pattern:
1
5
17
53
161
Ian’s pattern:
0
1
3
7
15
Ordered pair:
(1, 0)
(5, 1)
(17, 3)
(53, 7)
(161, 15)
Table 1 -
Sequence 1:
9
11
13
15
17
Sequence 2:
5
8
11
14
17
Ordered pair:
(9, 5)
(11, 8)
(13, 11)
(15, 14)
(17, 17)
Table 2 -
Sequence 1:
20
16
12
8
4
Sequence 2:
20
17
14
11
8
Ordered pair:
(20, 20)
(16, 17)
(12, 14)
(8, 11)
(4, 8)
Table 3 -
Sequence 1:
1
3
7
15
31
Sequence 2:
40
24
16
12
10
Ordered pair:
(1, 40)
(3, 24)
(7, 16)
(15, 12)
(31, 10)
