For this case the first thing we must observe is that the mass increases 0.4 grams when the diameter increases 1 millimeter.
Therefore, the slope of the line is given by:
m = 0.4
Thus, the function that best suits the table is given by:
f (x) = -4 + 0.4x
For example, for x = 20 we have:
f (20) = -4 + 0.4 (20)
f (20) = -4 + 8
f (20) = 4
The result, matches the table.
Answer:
The function that is best represented by the scatter plot is:
f (x) = -4 + 0.4x
Step-by-step explanation:
4x² - 12x + 17 = 0
i is an imaginary number and it equals √-1, and you usually put it when the number under the root is negative.
So √-5 = √5i and √-4 = 2i
<h3>
Answer: 16 square units</h3>
Let x be the height of the parallelogram. Right now it's unknown, but we can solve for it using the pythagorean theorem. Focus on the right triangle. It has legs a = 3 and b = x, with hypotenuse c = 5
a^2 + b^2 = c^2
3^2 + x^2 = 5^2
9 + x^2 = 25
x^2 = 25-9
x^2 = 16
x = sqrt(16)
x = 4
This is a 3-4-5 right triangle.
The height of the parallelogram is 4 units.
We have enough info to find the area of the parallelogram
Area of parallelogram = base*height
Area of parallelogram = 4*4
Area of parallelogram = 16 square units
Coincidentally, the base and height are the same, which isn't always going to be the case. The base is visually shown as the '4' in the diagram. The height is the dashed line, which also happens to be 4 units long.
The required picture is attached below :
Answer:
1 /32 yard³
Step-by-step explanation:
The volume of box can be obtained using the relation :
V = length * width * height
Length = 1/4 yards
Width = 1/2 yards
Height = 1/4 yards
Hence,
Volume (V) = 1/4 yards * 1/2 yards * 1/4 yards
Volume (V) = (1/4 * 1/2 * 1/4)(yard³)
Volume (V) = 1 / 32 yard³
