For #1, C. 1080, For #2, B. 7, For #10, I think its because of the reflexive property (honestly, Google it just to be safe) , And for #11, A Rhombus, Having trouble remembering why but I know its not a rectangle or square.
Answer: 3rd brand.
Step-by-step explanation:
1st brand:
6 oz cost $1.25
The amount per ounce will be:
= $1.25/6
= $0.21
2nd brand:
8 oz cost $1.33
The amount per ounce will be:
= $1.33/8
= $0.17
3rd brand:
12 oz cost $1.50
The amount per ounce will be:
= $1.50/12
= $0.125
4th brand:
16 oz cost $2.10
The amount per ounce will be:
= $2.10/16
= $0.13
From the calculation, the 3rd brand of orange juice is the better but as it's cheaper than others.
<u>Solution-</u>
A school has 1800 students and 1800 light bulbs, each with a pull cord and all in a row.
As all the lights start out off, in the first pass all bulbs will be turned on.
In the second pass all the multiples of 2 will be off and rest will be turned on.
In the third pass all the multiples of 3 will be off, but the common multiple of 2 and 3 will be on along with the rest. i.e all the multiples of 6 will be turned on along with the rest.
In the fourth pass 4th light bulb will be turned on and so does all the multiples of 4.
But, in the sixth pass the 6th light bulb will be turned off as it was on after the third pass.
This pattern can observed that when a number has odd number of factors then only it can stay on till the last pass.
1 = 1
2 = 1, 2
3 = 1, 3
<u>4 = 1, 2, 4</u>
5 = 1, 5
6 = 1, 2, 3, 6
7 = 1, 7
8 = 1, 2, 4, 8
9 = 1, 3, 9
10 = 1, 2, 5, 10
11 = 1, 11
12 = 1, 2, 3, 4, 6, 12
13 = 1, 13
14 = 1, 2, 7, 14
15 = 1, 3, 5, 15
16 = 1, 2, 4, 8, 16
so on.....
The numbers who have odd number of factors are the perfect squares.
So calculating the number of perfect squares upto 1800 will give the number of light bulbs that will stay on.
As,
, so 42 perfect squared numbers are there which are less than 1800.
∴ 42 light bulbs will end up in the on position. And there position is given in the attached table.
Answer:
Step-by-step explanation:
I don't know what you mean by formula but I will simplify the surd for you.

Answer:
g(3) = 10
Step-by-step explanation:
g(3) = 2x + 4
g(3) = 2(3) + 4
g(3) = 6 + 4
g(3) = 10