What is the sum of the first 14 terms of the sequence : an=6n-12
1 answer:
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The equation is 0.1x + 0.15(50-x)=1.20(50)
Step-by-step explanation:
Here you need 50ml of 12% alcohol solution.
You have 10% and 15% alcohol solutions.
Take volume of 10% alcohol solution to be x ml
Take volume of 15% alcohol solution to be y ml
Form equations;
x+y=50 ml--------------------------equation 1
0.1x +0.15 y= 12% of 50
0.1x+0.15y=6-----------------------equation 2
Now you have simultaneous equations, use a graph tool to solve for values of x and y as attached.
or use the mixture equation the get value of x
0.1x + 0.15(50-x)=1.20(50)
The values of x and y are ;
(x,y) (30,20) which means;
y is 20 ml of 15% alcohol
x is 30 ml of 10% alcohol
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Keywords : concentration, mixture
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Answer:
same
Step-by-step explanation:
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We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is . The graph of the function does not show a phase shift. We are asked to write the equation of our function.
We know that general form a cosine function is , where,
A = Amplitude,
= Period,
c = Horizontal shift,
d = Vertical shift.
The equation of parent cosine function is . Since function is reflected about x-axis, so our function will be
.
Let us find the value of b.
Upon substituting our given values in general cosine function, we will get:
Therefore, our required function would be .