Since Joann receives $10 per hour for the first 35 hours, so she receives $350 (35 times $10) before she starts receiving extra hours.
Since she received $515, we know that she worked extra hours.
Let's use the variable x to represent the number of extra hours worked.
So we can write the following equation for the total payment received:

She worked 11 extra hours. Adding this to the 35 regular hours, so she worked for 46 hours.
The time taken for the element X to decay from 560 grams to 150 grams is 24.7 mins
<h3>How to determine the number of half-lives </h3>
- Original amount (N₀) = 560 g
- Amount remaining (N) = 150 g
- Number of half-lives (n) =?
2ⁿ = N₀ / N
2ⁿ = 560 / 150
2ⁿ = 3.73
Take the log of both side
Log 2ⁿ = Log 3.73
nLog 2 = Log 3.73
Divide both side by Log 2
n = Log 3.73 / Log 2
n = 1.9
<h3>How to determine the time </h3>
- Number of half-lives (n) = 1.9
- Half-life (t½) = 13 mins
t = n × t½
t = 1.9 × 13
t = 24.7 mins
Learn more about half life:
brainly.com/question/26374513
to calculate y intercept we need to put x = 0 in equation.
3x + 2y = 14
3×0 + 2y = 14
y = 14/2 = 7
so point is
(0, 7)
option B
Answer:
Period of the function is 4π
Step-by-step explanation:
Given is a graph:
It oscillates between -1 and +1
The graph shows angles on x axis and trig values on y axis.
The graph has value +1 when x=0 and reaches minimum -1 when x =2pi and again reaches y=1 when x =4 π
Thus we find that this is a periodic function with amplitude 1 and phase shift 0 and period 4π
So we get the period of the trignometric funciton is 4π
So option 1 is right
Verify:
Given function is y = cos
Since parent function y =cosx has a period of 2pi, we have
here period = 2pi/coefficient of x in cos
=2pi/(1/2)
=4pi