Answer:
See below.
Step-by-step explanation:
Lets take √72:
Factoring 72 to find perfect squares:
72 = 2*2*2*3*3
The largest perfect square in the above = 2*2*3*3 = 36.
So we can write 72 as 36*2.
√72 = √(36 * 2)
√36 * √2
= 6√2.
One more example:
√18 = √(2*3*3)
= √9*√2
= 3√2.
Answer:
width is 8, length is 32
Step-by-step explanation:
* = multiply or times
Let the width be x, then the length would be 4x
Perimeter = 2*length+2*width
80 = 2*4x+2*x
80 = 8x+2x
80 = 10x
8 = x (width)
32 = 4x (length)
Answer:
5/126
Step-by-step explanation:
Let's go through this scenario step-by-step. At the beginning, we have a 5/9 possibility of picking a boy - 5 boys out of 9 students. If we pick 1 boy, we now have 4 boys out of 8 students we could potentially pick, giving us a 4/8 or 1/2 chance of picking a second boy after the 1st. For the third boy, we have 3 out of 7 remaining students, giving us a 3/7 chance of picking a third after the first two, and for the fourth boy, we 2 possibilities out of 6, giving us a 2/6 or 1/3 chance of picking the 4 boys.
To find the total probability, we can multiply all of these individual ones together:
Answer:
166,000(1 + 0.085)^t ; $195,000 ; $230,000
Step-by-step explanation:
Given that :
Rate of increase = 8.5% = 0.085 per year
Initial value ; price in 2011 (A) = $166,000
Formula to predict the median price t years after 2011 ;
At a continous rate :
Median price, P:
P = initial price (1 + rate)^t
P = 166,000(1 + 0.085)^t
t = time since 2011 ;
Median price of home in 2013:
t = 2013 - 2011 = 2
P = 166,000(1 + 0.085)^2
P = 166000(1.085)^2
P = 166000(1.177225)
P = 195419.35
P = $195,000 ( nearest $1000)
Median price of home in 2013:
t = 2015 - 2011 = 4
P = 166,000(1 + 0.085)^4
P = 166000(1.085)^4
P = 166000(1.385858700625)
P = 230052.54430375
P = $230,000 ( nearest $1000)
Answer:12x3+12x10
Step-by-step explanation:
distribute the 12 to both terms