Since 30² = 900 and 40² = 1600, between 30 and 40 of the numbers Grogg enters will reduce to integers. Now just find which count is correct. We don't have to look far:
31² = 961
32² = 1024
so there 31 of the outputs of √1, √2, √3, ..., √1000 are integers.
Answer:
Step-by-step explanation:
To find slope, use two points.
Point A 
and Point B 
.
Slope (m) = 
.
Answer:
0.6157
Step-by-step explanation:
Answer: 5
Step-by-step explanation:
weekday hours x*2
weekend hours y*10
x+y=26
2x+10y=220
----------------------
x=26-y
2(26-y)+10y=220
52-2y+10y=220
8y=220-52
8y=168
y=168/8
y=21
x=26-21=5
x=5
Answer:
x=2
Step-by-step explanation:
logx (2x)^3 = 6
We can rewrite without the exponent
3 logx (2x) = 6
Divide by 3
3/3 logx (2x) = 6/3
logx (2x) = 2
Raise each side to the base x
x^ logx (2x) =x^ 2
2x = x^2
Subtract 2x from each side
2x-2x = x^2 -2x
0 = x^2 -2x
Factor an x
0 = x(x-2)
Using the zero product property
x =0 x-2 =0
x =0 x=2
We cannot have a base of 0, so x cannot equal 0
x=2
