Answer:
820 feet
Step-by-step explanation:
We can use the rule of three in this scenario since this is a ratio problem with one unknown. To do this we simply multiply the diagonal values and divide by the final value. We know that there are a total of 3280.84 ft in a single kilometer, therefore...
1 km == 3280.84 ft
0.25 == x
(0.25 * 3280.84) / 1 = 820.21
Now we can see that there are 820.21 ft in the 0.25 kilometers. If we round this to the nearest foot we would round down to a total of 820 feet.
Answer:
f(x) = -3x^2 + 10x + 3
Step-by-step explanation:
(0,3) (2,11)(3,6)
Using the form ax^2 + bx + c = y
From the first set we know that c = 3
Write an equation for the last two sets
x=2; y=11
a(2^2) + b(2) + 3 = 11
4a + 2b = 11 - 3
4a + 2b = 8
simplify divide by 2
2a + b = 4
and
x=3, y=6
9a + 3b + 3 = 6
9a + 3b = 6 - 3
9a + 3b = 3
simplify divide by 3
3a + b = 1
:
Use elimination to find a
3a + b = 1
2a + b = 4
--------------subtracting eliminate b
a = -3
Find b using the equation 2a + b = 4
2(-3) + b = 4
b = 4 + 6
b = 10
:
The equation: f(x) = -3x^2 + 10x + 3
Answer:
Age 1-NO
Age 2-NO
Age 3-NO
Age 4-NO
Age 5-NO
Age 6-NO
Age 7-NO
Age 8-NO
Age 9-NO
Age 10-NO
Age 11-maybe probably not
Age 12-maybe probably not
Age 13-maybe probably not
Age 14-kinda
Age 15-kinda
Age 16-starting to know more
Age 17-starting to know more
Age 18-pretty sure
Age 19-pretty sure
Age 20-yes
Answer:
Volume = 
cubic centimeter
Step-by-step explanation:
Let the length of each side of the base of the box be A and the height of the box be H.
Area of material required to make the box is equal to is 
Rearranging the above equation, we get -
Volume of box is equal to product of base area of box and the height of the box -
Substituting the given area we get -
For maximum volume
Volume of the box
= 
= cubic centimeter
The third graph represents a function.
In a function, every input (x value) has <em>exactly</em> one output (y value). If even a single input has zero or two outputs, the graph does not represent a function.
A good way of testing this is using a vertical line. As you move a vertical line from left to right across a graph, it should always be touching exactly one point on the graphed line.
In this case, every graph fails this vertical line test except for the third graph, so the third graph represents a function.
