Answer:
She must make a score of 42 in the final exam to obtain an average of 80.
Step-by-step explanation:
Hi there!
Let x be the score of the final exam, the equation will be as follows (remember that the score of the final counts double):
(82 + 79 + 75 + 2x)/4 = 80
Let´s solve the equation for x multiplying each side of the equation be 4:
82 + 79 +75 + 2x = 320
Substract 82, 79 and 75 to both sides of the equation:
2x = 320 - 82 - 79 -75
2x = 84
x = 84/2
x = 42
She must make a score of 42 in the final exam to obtain an average of 80.
Have a nice day!
First, you have to find the moment of inertia along the x and y axes. Constant density is denoted as k.
Then, the radii of gyration for
x = √[I_x/m]
y = [I_y/m]
where m = k(15-4)² = 121k. Then,
x = y = [4880.33k/121k] = 40.33
I hope I was able to help you. Have a good day.
Answer:
x intercept [a]=3
y intercept [b]=-5
we have
equation of a line is:
x/a+y/b=1
x/3+y/-5=1
(5x-3y)=15
5x-3y-15=0 is a required equation
This equals [f(3) - f(1)] / [3-1]
= 3^2 + 6(3) + 10 - (1^2 + 6(1) + 10) / 2
= (37 - 17) / 2
= 10 Answer