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marshall27 [118]

2 years ago

11

How much pure water must be mixed with 10 liters of a 25% acid solution to reduce it to a 10% acid solution?

2 answers:

Sauron [17]2 years ago

7 0

How much pure water must be mixed with 10 liters of a 25% acid solution to reduce it to a 10% acid solution?

15L

Alex73 [517]2 years ago

3 0

The solution is 25% acid, which means 2.5 liters acid (10 x .25).
<span>you need that 2.5 liters to be 10%, or 1/10th the total. </span>
<span>the total would have to be 25 liters (2.5 x 10) so when you add to 10 to get 25 you get </span><span>15 liters. Hope I helped!</span>

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Select the graph of y=cot x.

Kisachek [45]

Because of the vertical asymptote and the change in concavity, we conclude that the correct option is B.

<h3>Which is the graph of cotangent of x?</h3>

Remember that cot(x) = 1/tan(x).

Then we can rewrite:

cot(x) = cos(x)/sin(x).

We know that for x = 0, we have:

cot(0) = cos(0)/sin(0) = 1/0

Then we have a vertical asymptote that tends to ± infinity.

The only graph that meets this condition is the second and the third one, and by the curvature (we need to have a change of concavity/convexity) in the tangent function.

From that, we conclude that the correct option is B.

If you want to learn more about trigonometric functions:

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1 year ago

Enter the correct answer in the box. Function g is the result of these transformations on the parent sine function: vertical str

Llana [10]

Answer:

By substituting the values of A, C, and D the equation modelling the function is;

g(x) = 3·sin(x - π/2) - 4

Step-by-step explanation:

From the given information, we have;

The vertical stretch of the sine function = 3 × The parent function

∴ A = 3

Given that the horizontal shift left = π/2 units, (from an online source with similar question)

The vertical shift down = 4 units

The given function, g is g(x) = A·sin(x + C) + D

Where;

A = The amplitude = The maximum displacement from the rest or equilibrium position = 3

C = The horizontal shift = -π/2 (The negative sign is for the shifting to the left)

D = The vertical shift = -4 (The negative sign is for a shift in the downward direction)

Therefore, the equation modelling the function is;

g(x) = 3·sin(x - π/2) - 4

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2 years ago

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What is the slope of the line represented by the equation below?y=-2/3x+3 A-2/3 B. 2/3 C.2 D.x

Black_prince [1.1K]

ANSWER

A.

$- \frac{2}{3}$

EXPLANATION

The given equation is

$y = - \frac{2}{3}x + 3$

This equation is already in the form:

$y =mx + b$

This is called the slope-intercept form.

The slope is

$m = - \frac{2}{3}$

and the y-intercept is 3.

The correct answer is A.

In a situation where the line is not given in the slope intercept form, then you must rewrite in this form before comparing.

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alina1380 [7]

Answer:

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