Answer:
83
Step-by-step explanation:
First of all, notice that VPS is a straight line meaning angles that lie on it will have a sum of 180. We know length of SPR=35, RPQ=62 (vert.opps.<s) as it lies vertically opposite to TPU. So now we know 2 angles, we can easily find out 3rd angle. But first we have to assume it as x. We make an equation= 62+35+x=180, 97+x=180,x=180-97, x=83, so angle VPQ equals 83.
Answer:
See explanation
Step-by-step explanation:
Mass of samarium-151 originally present (No) = 5 g
Mass of samarium-151 discovered (N) = 0.625 grams
time taken = ?
half life of samarium-151 (t1/2) = 96.6 years
From
N/No = (1/2)^t/t1/2
0.625/5 = (1/2)^t/96
0.125 = (1/2)^t/96
1/8 = (1/2)^t/96
(1/2)^3 = (1/2)^t/96
3 = t/96
t = 3 * 96
t = 288 years
The mass of europium-151 when the rock was discovered is obtained from;
Fraction of samarium-151 left = 1/8
Fraction of europium-151 formed = 1 - 1/8 = 7/8
Mass of europium-151 = 7/8 * 5 = 4.375 g
I conclude that the sum will be even because any even number can be represented by 2n where n is a whole number
and even numbers are 2 apart, so
the sum of the first 15 are
2n+2(n+1)+2(n+2) etc until we get to 2(n+14)
we can undistribute the 2 from all of them and get
2(n+n+1+n+2...n+14)
and we are sure that whatever is in the parenthasees is a whole number because whole+whole=whole
therefor, the sum is even
if you did want to find the sum then
an=2n
the 15th even number is 30
the first is 2
S15=15(2+30)/2=15(32)/2=15(16)=240
which is even
Answer:It is c i think
Step-by-step explanation:
Looking at the answers only 5 (5!) and 8! will have GCF as 5! It is given that GCD of two numbers is 5!
5 and 10
5 and 15
10 and 15
