Answer:
Amina practices the piano for 54 minutes each week.
Step-by-step explanation:
45% * 120min = 0.45 * 120min = 9/20 * 120min = 9 * 6min = 54min
By applying the concept of <em>definite</em> integral and the given restrictions, we conclude that the area of the <em>shaded</em> region in the graph is - 11/12.
<h3>How to find the area of the shaded region in the graph y = x² - 2</h3>
The area below the curve can be found by using <em>definite</em> integrals, which is defined here in this form:
(1)
Now we proceed to calculate the area:




By applying the concept of <em>definite</em> integral and the given restrictions, we conclude that the area of the <em>shaded</em> region in the graph is - 11/12.
<h3>Remark</h3>
The statement is incomplete. Complete form is shown below:
Find the area of the shaded region in the graph y = x² - 2, between x = 0.5 and x = 1.5
To learn more on definite integrals: brainly.com/question/14279102
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Three hundred nine million ninety nine thousand nine hundred and ninety.
Any number to the power of 0 equals 1. So, we can rewrite the equation as follows:

Let ‘s’ be the son’s age 12 years ago.
Let ‘f’ be the father’s current age.
4 years ago, the son was:
s-4
So, his father is currently:
3(s-4)
=
3s-12
Therefore:
f = 3s-12
In twelve years, the son will be:
s+12
And the father will be:
f+12
This can also be written as:
3s-12+12 as the fathers younger age would be f = 3s+12
=
3s
So, we know that s+12 is half the fathers current age, meaning the father is currently 2(s+12) which is equivalent to 2s+24. Also, we know that the father is currently 3 times the sons age 12 years ago, so 3s (proven by the calculations we made above). Therefore, 2s+24=3s which means 24=s. We can then substitute this, and we will receive 24+12 = 36
Son’s current age: 36
We then substitute the son’s age 12 years ago into 2s+24 to give us the father’s age.
2(24)+24 = 72
Father’s current age: 72