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Lyrx [107]
3 years ago
14

How much water should be added to 3 gallons of pure acid in order to obtain the 15% acid solution? plz help due tommorow mornimi

ng for rsm
Mathematics
1 answer:
bulgar [2K]3 years ago
8 0
The answer is 17 gallons of water plz give me branliest
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<img src="https://tex.z-dn.net/?f=%20express%20%5C%3A%20%20%5C%3A%20%5Csin%282x%29%20%20-%20%20%5Csqrt%7B3%7D%20%20%5Ccos%282x%2
gizmo_the_mogwai [7]

Answer:

α = π/3

γ = 2

x = -3π/4, -5π/12, π/4, 7π/12

Step-by-step explanation:

Easiest way to do this is in reverse.

γ sin(2x − α)

Angle sum/difference formula:

γ (cos α sin(2x) − sin α cos(2x))

Distribute:

γ cos α sin(2x) − γ sin α cos(2x)

Matching the coefficients:

γ cos α = 1

γ sin α = √3

Solve the system of equations.  Divide to eliminate γ:

tan α = √3

α is between 0 and π/2, so:

α = π/3

γ = 2

sin(2x) − √3 cos(2x) = 1

Using the identity from before:

2 sin(2x − π/3) = 1

Solving:

sin(2x − π/3) = 1/2

2x − π/3 = π/6 + 2kπ or 5π/6 + 2kπ

2x = π/2 + 2kπ or 7π/6 + 2kπ

x = π/4 + kπ or 7π/12 + kπ

x is between -π and π, so:

x = -3π/4, -5π/12, π/4, 7π/12

7 0
3 years ago
Activity
Lynna [10]

Answer: The rate of change in the y coordinate is 75. 78 - 3= 75.

5 0
2 years ago
Read 2 more answers
When y=-2, what kind of line does it have horizontal or vertical
Rashid [163]

Answer: Horizontal

Step-by-step explanation: The equation <em>y = -2</em> can be thought of as y = 0x - 2. So our line has a slope of 0 and a y-intercept of -2.

To graph it, we start with the y-intercept, down 2 units on the y-axis. Now, if the slope of a line is 0, then the line must be flat or horizontal.

So we just draw a horizontal line through the y-intercept of -2.

In fact, when the equation of any line reads y = a number, it's graph will always be a horizontal line. For example, y = 3, y = -10, y = -8 and so on.

Image provided below.

8 0
3 years ago
I really need help with alg 2 please <br> 9x^1/5 - 2x^1/5
ExtremeBDS [4]
Since these two have the same power and variable, you can just subtract right away. It’s going to be 7x^1/5

7 0
3 years ago
2/5=2÷[blank]<br>fill in the blank.​
Svetllana [295]

Answer:

5

Step-by-step explanation:

2/5 is the same thing as 2÷5 since / and ÷ both mean to divide. So therefore your blank would be 5.

7 0
3 years ago
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