Answer: The area of the sector will be about 141.3 square inches.
First, we need to find the area of the entire circle. The formula is pi(r^2). Inputting 18 for the radius makes the area of the circle about 1017.36 square inches.
Now, we multiply by the area by the size of the sector. It is 50 degree out of the entire 360 degrees. That is about 13.9%.
Multiply 13.9% by 1017.36 to get an area of about 141.3 square inches for the sector.
Step-by-step explanation:
End behavior of a polynomial function is the behavior of the graph of f(x) as x tends towards infinity in the positive or negative sense.
Given function:
f(x) = 2x⁶ - 2x² - 5
To find the end behavior of a function:
- Find the degree of the function. it is the highest power of the variable.
Here the highest power is 6
- Find the value of the leading coefficient. It is the number before the variable with the highest power.
Here it is +2
We observe that the degree of the function is even
Also the leading coefficient is positive.
For even degree and positive leading coefficient, the end behavior of a graph is:
x → ∞ , f(x) = +∞
x → -∞ , f(x) = +∞
The graph is similar to the attached image
Learn more:
End behavior brainly.com/question/3097531
#learnwithBrainly
Answer:
4: A
Step-by-step explanation:
Mathematically, the average speed over a particular range will be;
f’(b)-f’(a)/(a-b)
In this case; a = 2 and b = 10
So we have the following;
f’(x) = 4t + 1
f’(10) = 4(10) + 1 = 41
f’(2) = 4(2) + 1 = 9
So we have the average speed change as;
(41-9)/(10-2)
= 32/8 = 4
7.20+24.75=31.95
so 31.95 per student
31.95*350=11,182.50
This will cost the student body $11,182.50
Answer:
Step-by-step explanation:
we know that
The roots of the quadratic function (x-intercepts) are
x=-1 and x=5/3
so
we can write the equation of the parabola as
where
a is a coefficient
Remember that
The parabola pass through the point (5,40)
substitute the value of x and the value of y of the ordered pair in the quadratic equation and solve for a
x=5, y=40
substitute
apply distributive property
see the attached figure to better understand the problem