Answer:
ΔT = -75°F
Step-by-step explanation:
ΔT = T₁ - T₀ = 350 - 425 = -75°F
Perfect squares are n² where n is a whole number
whole numbers are like 0,1,2,3,4,5,6, etc
no decimal or fractions
we can do that be looking at the perfect squares we know
2²=4
3²=9
4²=16
5²=25
6²=36
7²=49
8²=64
etc
so we see 47 is between 6² and 7²
therefor, for n²=47, n is between 6 and 7 and is therfore not a whole number
that makes 47 not a perfect square
200,000 = 158,000(1.06)^x
Divide both sides by 158,000
1.2658 = 1.06^x
Take the log of both sides and use the power rule to bring down the exponent (x) to the front.
log 1.2658 = x log 1.06
Divide both sides by log 1.06
log (1.2658)/log(1.06) = x
x = 4 years
CHECK
y = 158,000(1.06)^4
y = 199,471.36
Answer: 564480 arrangements
Step-by-step explanation:
First, let's consider the French and English delegates as one party because they will sit next to each other.
So total delegates if French and English are always together comes out to be 9 instead of 10.
Now, they are to sit in a row and can have different seats so the total number of ways they can sit is= 2 x 9!= 725760 ways.
Now, when Russian and U.S delegates are not to sit next to each other so consider similarly like before consider them as one unit like French and English. Now they can also change their seats so number of way for them= 2 x 2 x 8!= 161280 ways
To find out when French and English delegates are together and Russain and U.S delegates are not together we subtract the way from the original value.
725760-161280= 564480 way.
