Answer:
452 cubic inches
Step-by-step explanation:
In terms of diameter, the volume of the cylinder is ...
V = (π/4)d^2h
Filling in the given numbers, we get ...
V =(3.14/4)(8 in)^2(9 in) = 452.16 in^3
The cylinder volume is about 452 cubic inches.
cos 2x – cosx = 0
------------ (1)
where cos2x = 2cos^2x –
1
equation (1) becomes;
<span>2cos^2x – 1 – cosx = 0 ------------ (2)</span>
Suppose cosx = y, then
equation (2) becomes;
2y^2 – 1 – y = 0
By factorization method;
(2y + 1) x (y – 1) = 0
Where 2y + 1 = 0 or y –
1 = 0
So solving both;
y = -1/2 or 1
As y = cosx
So cosx = -1/2 or 1
The above equation is true only for x = 2/3π, 0, 4/3 π
<span>The solution were find out for interval [0,2 π),
where 2 π is not included in the interval, as the interval is not a closed on
the right side.</span>
The choices are points of a function that lies at coordinates (x,y). Just do trial and error with each choice and see which applies
a) x = 0, y = 0
-5(0)^2 + 20(0) - 17 > 0
-17 > 0 (not true)
b) x = 2, y= 2
-5(2)^2 + 20(2) - 17 > 2
3 > 2 (true)
c) x =5, y=2
-5(5)^2 + 20(5) - 17 > 2
-42 > 2 (not true)
d.) x=1, y=5
-5(1)^2 + 20(1) -17 > 5
-2 > 5 (not true)
So, the answer is B.
Answer:
y-intercept: 11
which means the baby weighs 11 lb when it is born (t=0).
Step-by-step explanation:
Answer:
(6, 6)
Step-by-step explanation:
ordered pair (6, 6) will be solution for the function y = 12 - x.
When x = 6
y = 12 - 6
y = 6
(x, y) = (6, 6)