Answer:34.4
Step-by-step explanation:
172.5-137.1=34.4
2x + 2x +2 are the integers
4x^2 + 4x^2 +8x +4 =884 (The sum of the integers squared)
8 x^2 +8x -880 = 0
x = 10
Therefore, the integers are:
20 and 22
Divide 4 by 6. Easier if you write it as a fraction: 4/6 This can be reduced to 2/3. This means that each person gets 2/3 of a pie equally.
Answer:
The total number of slices is 92
Step-by-step explanation:
we know that
Kelly ordered 10 pizzas for a party
step 1
30% of the pizzas have 12 slices each
so
The number of pizzas for 30% is equal to
0.30(10)=3 pizzas
The number of slices is
3(12)=36 slices
step 2
70% of the pizzas have 8 slices each
so
The number of pizzas for 70% is equal to
0.70(10)=7 pizzas
The number of slices is
7(8)=56 slices
step 3
Find the total number of slices
36+56=92 slices
We have that the spring is going to have a sin or a cos equation. We have that the maximum distance of the spring is 6 inches and it is achieved at t=0. Let's fix this as the positive edge. Until now, we have that the function is of the form:
6sin(at+B). We have that the period is 4 minutes and hence that the time component in the equation needs to make a period (2pi) in 4 minutes. Thus 4min*a=2p, a=2p/4=pi/2. In general, a=2pi/T where a is this coefficient, T is the period. Finally, for B, since sin(pi/2)=1, we have that B=pi/2 because when t=0, we have that 6sin(B)=6. Substituting, we have f(t)=6sin(pi*t/2+pi/2)=6cos(pi*t/2)
by trigonometric identities.
