64 miles per hour = x feet per second
Convert your units:
1 mile = 5280 feet
1 hour = 3600 seconds
64 miles/hour = 64(5280feet/3600seconds)
= 33792 feet / 3600 seconds = 9.386 feet / second
Therefore, 64 mi/h = 9.39 ft/s.
Well, this problem is best solved by setting up a system of two linear equations.
A linear equation can be defined
y=mx+b
where
b=initial value (when x=0), and
m=rate of increase or decrease.
In the given example, the x-axis represents hour, and the y-axis, number of cells.
Chemical #1
initial value = b = 12000 cells
rate = m = -4000 / hr
The equation is therefore
y1=-4000x+12000......................(1)
Similarly, for chemical #2
initial value = b = 6000 cells
rate = m = -3000 / hr
The equation is therefore
y2=-3000x+6000 .......................(2)
The time the two will have an equal sized colony would represent the solution of the system of equations (1) and (2), i.e. when y1=y2
which means
-4000x+12000 = -3000x+6000
transpose and solve for x
4000x-3000x = 12000-6000
1000x=6000
x=6 hours.
At 6 hours from the start,
y=-4000x+12000 = -4000*6+12000 = -24000+12000 = -12000 cells
So the solution is x=6, y=-12000, or (6,-12000)
Physical interpretation
Since cells cannot have a negative number, the two are actually equal before six hours, when they are both zero.
Case 1: y=0 when x=3
Case 2: y=0 when x=2
Therefore, after three hours, both trials will have zero cells.
You have to judge whether to give the mathematical solution (x=6,y=-12000) or the physical interpretation (x=3, y=0) as the answer.
Step-by-step explanation:
In this method , the second order of polynomial ax² + bx + c is factorised and expressed as the product of two linear factors. Then each linear factor is separately solved to get the required solutions of the equation by applying zero factor property. In zero factor property , if p•q = 0 , then either p = 0 or q = 0 . In other words , if the product of two numbers is 0 , then one or both of the numbers must be 0.
Here , we have to find the two numbers that multiplies to 55 and adds to 16.
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Either :
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Answer:
26,000,000 codes
Step-by-step explanation:
To find how many unique codes can be created, we just need to check how many possibilities there are for each letter or digit in the code.
Each letter has 26 possible values, and each digit has 10 possible values, so as we have 1 letter and 6 digits, the total number of unique codes are:
26 * 10 * 10 * 10 * 10 * 10 * 10 = 26,000,000 codes.
Answer:
4-3=1
Step-by-step explanation:
it was dilated by 1
dunno what this was really askin tho
