Answer:
They say that the sum of the two numbers (x and y) is 64, so we can write our first equation by adding them and setting that sum equal to 64:
x + y = 64
The question also tells us that their difference is 14. Similarly to before, we'll just subtract the two numbers and set that difference equal to 14:
x - y = 14
Now from here, you know how to continue with substitution to find the values for x and y. Just remember when you get a word problem to break it down and look for key words like sum, difference, or product, and from there you'll be able to build your system of equations.
Answer:
Cassidy has 4 in of string left.
Step-by-step explanation:
<em>I hope it helps! Have a great day!</em>
<em>Lilac~</em>
Answer:
200 in the x-direction by -346 in the y-direction
Step-by-step explanation:
This vector lies in Quadrant IV.
The horiz. component is 400 cos (-60°) = 400(0.5) = 200, and
the vertical comp. is 400 sin (-60°) = 400(-0.866) = -346
The combination form is 200 in the x-direction by -346 in the y-direction, or (as a vector) <200, -346>
301.3 or 301.29 either way
Given:
The function is:
Where p(t) represents the number of milligrams of the substance and t represents the time.
To find:
The correct explanation for the number 0.25 and 500 in the given function.
Solution:
The general exponential function is:
...(i)
Where, a is the initial value and b is the growth/decay factor. If 
, then decay factor and if 
, then growth factor.
We have,
...(ii)
On comparing (i) and (ii), we get
, it means initial there are 500 milligrams of the substance.
, this value is less than 1, it means the substance is decreasing by a factor of 0.25.
Therefore, 0.25 means the substance is decreasing by a factor of 0.25 and 500 means the initial value of substance is 500 milligram.
