Answer is 43 degrees for #6, and selection C for #7
By using the given graph:
- When x = -2, the value of the function is f(-2) = 1
- When x = -0.5, the value of the function is f(-0.5) = 0.75
- When x = 0, the value of the function is f(0) = 1.25
- When x = 2.5, the value of the function is f(2.5) = 3
- When x = 6, the value of the function is f(6) = 0
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How to use the graph to find the values of the function?</h3>
Suppose that we want to find the value of the graphed function when x = a.
- Then we first need to identify x = a in the horizontal axis.
- Then we move upwards (or downwards) until we meet the curve of the function.
- Now you can move horizontally towards the vertical axis, where you can read the y-value associated to the x-value.
Now we can do these steps for each of the wanted values.
- When x = -2, the value of the function is f(-2) = 1
- When x = -0.5, the value of the function is f(-0.5) = 0.75
- When x = 0, the value of the function is f(0) = 1.25
- When x = 2.5, the value of the function is f(2.5) = 3
- When x = 6, the value of the function is f(6) = 0
If you want to learn more about how to read graphs:
brainly.com/question/4025726
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Answer:
85.5 minutes
Step-by-step explanation:
The amount of an element that will remain after time t can be expressed as a function of initial amount N0, time t, and half life th as;
Nt = N0 × e^(-λt)
Where;
Decay constant λ = ln(2)/th, substituting into the equation;
Nt = N0 × e^(-ln(2)t/th)
We need to make t the subject of formula;
Nt/N0 = e^(-ln(2)t/th)
ln(Nt/N0) = -ln(2)t/th
t = ln(Nt/N0) ÷ -ln(2)/th
Given;
Initial amount N0 = 760g
Final amount Nt = 11 g
Half life th = 14 minutes
the nearest tenth of a minute, would it take the element to decay to 11 grams can be derived using the formula;
t = ln(Nt/N0) ÷ -ln(2)/th
Substituting the given values;
t = ln(11/760) ÷ -ln(2)/14
t = 85.5 minutes
Angle of elevation of the sun: 69 degrees
Step-by-step explanation:
tan(x) = 200/75
x = tan^-1 (200/75)
x = 69 degrees
