Answer:
No
Step-by-step explanation:
No, it's not a function as it fails the vertical line test
Answer:
face value=6
roman numeral 68=LXVIII
All even numbers are divisible by 2
13,26, 39,52,65,,78
Answer:
3. 1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 5 0 2 8 8 4 1 9 7 1 6 9 3 9 9 3 7 5 1
Answer:
A) It can shoot 15 feet long and has a rotation of 90 degrees.
We can write this area:
Area = Angle*radius^2
The radius is 15 ft.
The angle must be written in radians, so we need to writhe 90° in radians.
180° is equal to pi.
Then 90° = (90°/180°)*pi = pi/2
where pi = 3.14
Then our area is:
A = (3.14/2)*(15ft)^2 = 353.25 ft^2
B) If we have 12 of those in one yard, we can cover 12 times that area; this is:
A = 12*(353.25 ft^2) = 4239 ft^2
C) Now we want to find the angle such that the covered area for one sprinkler is equal to 1200 ft^2
Then we can replace it in the equation for the area and get:
1200ft^2 = angle*(15ft)^2 = angle*225 ft^2
angle = 1200/225 = 5.33
But this is in radians, so we may convert it to degrees.
We know that 3.14 = 180°
Then we have
5.33 rads = (5.33/3.14)*180° = 305.5°
Y = -.003x²<span> + .120x + 1.909
</span>Standard form of a parabola is y = ax² + bx + c. The x coordinate of the vertex can be found with -b/2a.
-.120/(2 × -.003) + 20
So the max is at 1950 + 20 because x is years after 1950. Which is 1970.
To find when y will be 0, use the quadratic equation x = [-b +/- √(a² - 4ac)]/2a. +/- means plus or minus because I can't type the actual symbol.
x = [-.120 +/- √(-.003² - 4(-.003)(1.909))]/2(-.003) Plug in info
x = [-.120 +/- √(.000009 - 4(-.005727))]/-.006
x = [-.120 +/- √(.000009 + .022908)]/-.006
x = [-.120 +/- √(.022917)]/-.006
x=-.120/-.006 +/- √(.022917)/-.006
x = 20 +/- <span>.15138361866/-.006
x = 20 +/- -</span><span>25.2306031108
Because it is plus or minus you split it and do both.
x = 20 - </span>-25.2306031108 x = 20 + -25.2306031108<span>
x = </span>45.2306031108 x = -<span>5.23060311077
so y is 0 when x is 45.2306031108 because there is no such thing as negative time so it can't be the other one. So the answer is 1995 because you add 45 to 1950.
Since the max is at 1970, it is increasing from 1950 to 1975 and decreasing from 1975 to 1995.
Sorry I took so long, I had to look up how to do it because I couldn't remember.</span>
