The lowest grade he could earn is 120% of the grade at the end of the semester.
The following statement is given:
I have 90% after about 75% of the semester.
We are asked to find the lowest grade by the end of this semester.
<h3>What is Percentage?</h3>
A percentage is a number expressed as a fraction of 100.
- 50% = 50/100 = 1/2
- 25% = 25/100 = 1/4
- 20% = 20/100 = 1/5.
We can write this statement "I have a 90% grade after about 75% of the semester" as:
90% grade = 75% semester.............(1)
By the end of the semester means at 100% semester.
Multiplying equation (1) by 100/ 75 on both sides of the equation.
We get,
(100/75) x 90% grade = (100/75) x 75% semester
(100 x 90)/75 % grade = 100% semester
120% grade = 100%
Thus the lowest grade he could earn is 120% of the grade at the end of the semester.
Learn more about Percentages here:
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If you look closely you'll see that x can take on any real value here. On the other hand, y can equal -4 (maximum) or any real number smaller than -4.
Translate this information into interval notation.
Important formula we will use.
First formula
2 cos α sin β = sin (α + β) - sin (α - β)
Second formula
∫ sin x dx = - cos x + c
We should change the trigonometry expression from multiplication into addition. Use the first formula above∫ 8 sin (2x) cos (3x) dx
= ∫ 4 ( 2 sin (2x) cos (3x) dx)
= 4 ∫ 2 cos (3x) sin (2x) dx
= 4 ∫ sin (3x + 2x) - sin (3x - 2x) dx
= 4 ∫ sin 5x - sin x dx
After changing into addition, solve the integration. Use the second formula.= 4 ∫ sin 5x - sin x dx


This is the answer.
State the domain and range of the relation:<br>
{(1,3), (2, 4), (3,5), (-1,3), (-2, 4), (-3,5))
faust18 [17]
Answer: Domain is {-3, -2, -1, 1, 2, 3}. Range is {3, 4, 5}
Step-by-step explanation:
Domain in x values and therefore -3, -2, -1, 1, 2, 3. The range is y-values and you don't have to repeat same values making the range 3, 4, 5
This is false. Let's test it.
So let's say that x is 2.
The statement is:
-2 + x is positive
-2 + 2 is positive
0 is positive
This is not correct
Let's say that x is -2
-2 + x is positive
-2 + (-2) is positive
-2 - 2 is positive
-4 is positive