Answer:
chances are 10.5
Step-by-step explanation:
Answer:
The correct answer is b.
Step-by-step explanation:
The wave equation is given generally as:
c(x, t) = Acos(kx - wt)
Where A = amplitude
k = wave number
w = angular frequency.
x = horizontal distance moves by the wave.
t = time
The options show to us that the wave depends only on t and not (x, t).
Hence, the wave equation becomes:
c(t) = Acos(wt)
Given that:
A = 5 V
f = 1 * 10⁶ Hz
Angular Frequency, w, is given as:
w = 2πf
w = 2 * π * 1 * 10⁶ Hz
w = 2π(1 * 10⁶)
The wave equation becomes:
c(t) = 5cos(2*π*1*10⁶)
The correct answer is b.
Answer:
Step-by-step explanation:
Total weight of aluminum cans that Pete collected for recycling is 47 pounds.
Total weight of aluminum cans that Jo collected for recycling is 52 pounds.
They can get $0.21 per pound for the cans. Therefore,
The total amount that Pete will get for collecting 47 pounds of aluminum would be
0.21 × 47 = $9.87
The total amount that Jo will get for collecting 52 pounds of aluminum would be
0.21 × 52 = $10.92
The total amount of money that they would get is
9.87 + 10.92 = $20.79
Answer:
36 degrees
Step-by-step explanation:
since, m<AOB is a right angle, we shall just create an equation:
M<AOB+M<BOC=90 degrees
Substitute: 6z-12+3z+30=90
Solve: 6z+3x=9z
-12+30=18
so, 9z+18=90 degrees
-18 -18
9z=72
z=8
So if z=8, then we should fit it so that it matches measure of AOB.
6z-12
6 times 8=48
48-12= 36
Answer:
Sam: $30; Bethan: $24
Step-by-step explanation:
Since the ratio is 5:4 Sam has to pay 5/9 of the total which is 54. To find how much he pays set up the equation like this.
Cross Multiply
54(5)=9x
270=9x
Divide by 9
30=x
So Sam pays $30. To find out how much Bethan pays simply subtract 30 from 54
54-30=24
So Bethan pays $24
