Ask question

Ask question

All categories

3 years ago

13

Miss Hudspeth has a supply of 30% alcohol solution and a supply of 50% alcohol solution. How much of each solution should she mi

x together to get 60mL of 34% alcohol solution for an experiment in her chemistry class

1 answer:

Vikki [24]3 years ago

6 0

Um id say 20% of the 30% solution and 14% of the 50 % i think, does it give you answer choices?

You might be interested in

Find the slope of the line

alukav5142 [94]

Answer:

-4/3

Step-by-step explanation:

y2 - y1 / x2 - x1

-9 - (-1) / 0 - (-6)

-4/3

7 0

2 years ago

Use the table to identify the values of p and q that should be used to factor x2 + 3x – 10 as (x + p)(x + q).

Galina-37 [17]

<span>x^3 - 4x^2 - 7x + 10 = 0</span>

3 0

2 years ago

Suppose f (x) = x^2. Find the graph of f(x+2)

NISA [10]

$\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
% templates
f(x)={{ A}}({{ B}}x+{{ C}})+{{ D}}
\\\\
~~~~y={{ A}}({{ B}}x+{{ C}})+{{ D}}
\\\\
f(x)={{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\\\
f(x)={{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\\\
f(x)={{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\\\\
--------------------$

$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\
~~~~~~\textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\
~~~~~~\textit{reflection over the y-axis}$

$\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
~~~~~~if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{ D}}\\
~~~~~~if\ {{ D}}\textit{ is negative, downwards}\\\\
~~~~~~if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

with that template in mind,

$\bf f(x)=x^2\qquad \quad f(x+2)=(x+2)^2\implies f(x+2)=\stackrel{A}{1}(\stackrel{B}{1}x\stackrel{C}{+2})^2\stackrel{D}{+0}$

C = 2 B = 1 C/B = 2/1 or +2, horizontal left shift of 2 units

f(x) shifted left by 2 units is f(x+2).

8 0

2 years ago

URGENT: If θ is a second-quadrant angle and cosθ = -2/3, then tanθ = _____.

dangina [55]

In the second quadrant, both cos and tan are negative while only sin is positive.

To find tan, we will use the following property below:

$\large \boxed{ {tan}^{2} \theta = {sec}^{2} \theta - 1}$

Sec is the reciprocal of cos. If cos is a/b then sec is b/a. Since cos is 2/3 then sec is 3/2

$\large{ {tan}^{2} \theta = {( - \frac{3}{2}) }^{2} - 1} \\ \large{ {tan}^{2} \theta = \frac{9}{4} - 1} \\ \large{ {tan}^{2} \theta = \frac{9}{4} - \frac{4}{4} \longrightarrow \frac{5}{4} } \\ \large{tan \theta = \frac{ \sqrt{5} }{ \sqrt{4} } } \\ \large \boxed{tan \theta = \frac{ \sqrt{5} }{2} }$

Since tan is negative in the second quadrant. Hence,

$\large{ \cancel{ tan \theta = \frac{ \sqrt{5} }{2} } \longrightarrow \boxed{tan \theta = - \frac{ \sqrt{5} }{2} }}$

Answer

tan = -√5/2

3 0

2 years ago

Select True or False for each statement.

Tpy6a [65]

Answer:

1. True

2. False

3. True

4. False

5. True

Step-by-step explanation:

1. For a real number a, a + 0 = a.

This is true, any number plus zero is that number.

2. For a real number a, a + (-a) = 1.

This is false. Adding a negative number is the same as subtracting that number. So a + (-a) = a - a = 0

3. For a real numbers a and b la-bl = |b-al.

This is true. Absolute value represents the distance between two numbers. This number can never be negative, therefore la-bl = |b-al.

4. For real numbers a, b, and c, a +(bº c) = (a + b)(a + c).

False. a + (b * c) = a + bc.

If you foil (a + b)(a + c) you will see its equal to a²+ab+ac+bc, which is definitely different than a + (b*c)

5. For rational numbers a and b when b# o, is always a rational number.

True, a rational number is one that can be written as a fraction with two integers. The quotient of two rational numbers can always be written as a fraction with integers.

8 0

3 years ago

Read 2 more answers