Answer:
69
Step-by-step explanation:
If she is averaging 65% of the worth of lectures.
the lectures she had was supposedly rated out of 60. Therefore, the 65% will be 65% of 60(total grade)
0.65 * 60 = 39
On the second part, if we apply the same method, we have
0.75 * 40 = 30
All we have to do on add both together
39 + 30 = 69.
therefore, get total grade in the course is 69
The correct answers are
-6
-5
-6
-9
Factor:
2sin^2x-sinx = 0
sinx(2sinx - 1) = 0
Therefore the solutions are when:
sin x = 0
And
sinx = 1/2
So sinx = 0
is true when x = 0 and pi and all the angles coterminal with these points. Thus, the answer is x = pi*n, (where n is some integer)
sinx = 1/2
is true when x = pi/6 and 5pi/6 and the angles coterminal with these points.
Thus, the answer is x = pi/6 + 2pi*n (where n is some integer)
and x = 5pi/6 + 2pi*n (where n is some integer)
The fraction of the poster does Dwayne use for his friends from school is 5/12.
<h3>What is the fraction of the poster that Dwayne uses for his friends from school?</h3>
A fraction is a non-integer that has a numerator and a denominator. The numerator is the number that is above the line and the denominator is the number below the line. An example of a fraction is 5/12.
In this question, the numerator is the number of parts he gives his friends from school. The denominator is the total number of parts he divides the poster.
Fraction = parts he gave his friend from school / total number of parts
5 / 12.
To learn more about fractions, please check: brainly.com/question/1114498
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Answer: g(x) has the smallest possible y-value of -3
<u>Step-by-step explanation:</u>
f(x) = 3ˣ - 3 <em>This is an exponential graph shifted down three units. So, it has an asymptote at y = -3, which means it approaches -3 but does not touch it.</em>
Range: y > 3 (-3, ∞)
g(x) = 7x² - 3
⇒ g(x) = 7(x - 0)² - 3 <em>This is a parabola with vertex at (0, -3) </em>
Range: y ≥ 3 [-3, ∞)
