Mathematics and science go hand in hand. The branches of science which include: Physics, astronomy, chemistry, biology, etc. In all these fields you will find that you will have to use the mathematical principles and formulae to solve the numerical problems. So, science needs maths but maths does not need science.
Answer (<u>assuming it can be in slope-intercept form)</u>:
y = -x - 1
Step-by-step explanation:
When knowing the slope of a line and its y-intercept, you can write an equation to represent it in slope-intercept form, or y = mx + b format. Substitute the m and b for real values.
1) First, find the slope of the equation, or m. Pick any two points from the line and substitute their x and y values into the slope formula,
. I chose the points (0, -1) and (-1, 0):

Thus, the slope is -1.
2) Now, find the y-intercept, or b. The y-intercept of a line is the point at which the line crosses the y-axis. By reading the graph, we can see that the line intersects the y-axis at the point (0,-1), therefore that must be the y-intercept.
3) Now, substitute the found values into the y = mx + b formula. Substitute -1 for m and -1 for b:

There will be 38 grams remaining.
The equation would be of the form
y = a(1+r)ˣ, where a is the initial value, r is the rate as a decimal number, and x is the amount of time. Using our values from the problem, we have:
y = 670(1-0.273)^9 = 670(0.727)^9 = 38
Answer:
8%
Step-by-step explanation:
Given that:
Reliability of each = 0.92
r = 0.92
1 - (1 - r)(1 - r) = 1 - (0.08)(0.08) = 1 - 0.0064 = 0.9936
Percentage improvement :
1 - (0.9936) / r
1 - (0.9936 / 0.92)
1 - 1.08
= - 0.08
= 0.08 / 100 = 8%