Answer:
1. A
2. H
3.B
4. H
5. A
Those are the answers
Step-by-step explanation:
1. 30 - 2(-8)= 46
2. BODMAS applied 6-7 =-1
3. 45/-5=-9
4. Sum is h +73
5.BODMAS applied 60 /6 = 10
Answer:
C. (1/2)acsinA
Step-by-step explanation:
Given is that, A, B, and C are the measures of the angles of a triangle and a, b, and c are the lengths of the sides opposite the corresponding angles.
So, the expression that does not represent the area of the triangle is :
C. (1/2)acsinA
Answer: -10h
I just put it into the calculator
Answer:
81 million
Step-by-step explanation:
A = Pe^rt
Let's break this equation down.
A is the total you will have.
P is the starting value.
R is the rate
T is the time.
Let's find the rate first.
74000000 = 70000000e^7r
Divide each side by 70mil
74000000/70000000 = e^7r
Then take the ln() of each side.
ln(74000000/70000000) = 7r
0.0556 = 7r
r = 0.0079
Now we can find how many people will be there in 2010.
A = 70,000,000e^(19 * 0.0079)
A = 81336530.2373
Now we round to the nearest million, leaving us with 81 million.
Answer:
6*8=48 groups with elements of order 7
Step-by-step explanation:
For this case the first step is discompose the number 168 in factors like this:
And for this case we can use the Sylow theorems, given by:
Let G a group of order 
where p is a prime number, with 
and p not divide m then:
1) 
2) All sylow p subgroups are conjugate in G
3) Any p subgroup of G is contained in a Sylow p subgroup
4) n(G) =1 mod p
Using these theorems we can see that 7 = 1 (mod7)
By the theorem we can't have on one Sylow 7 subgroup so then we need to have 8 of them.
Every each 2 subgroups intersect in a subgroup with a order that divides 7. And analyzing the intersection we can see that we can have 6 of these subgroups.
So then based on the information we can have 6*8=48 groups with elements of order 7 in G of size 168
