What quantity of 79% acetic acid solution must be mixed with a 24% acetic acid solution to produce 550 mL of 32% solution?

Answer:

answer is

24=12

solution

3(-2x+2x+8)=12

3(8)=12

24=12

2is a answer

To find the percentage invested in bonds, we need to add the amounts invested in U.S. Treasuries and high-grade corporate bonds, and then divide by the total value of the portfolio:

Total amount invested in bonds = $45,000 + $32,000 = $77,000

Total portfolio value = $45,000 + $32,000 + $74,000 = $151,000

Percentage invested in bonds = (Total amount invested in bonds / Total portfolio value) x 100%

= ($77,000 / $151,000) x 100%

= 51.0%

Therefore, the answer is 51%.

I hope this helps you!

Answer:

3(x-7)(x+7)

Step-by-step explanation:

In order to completely factor, begin by factoring out the greatest common factor.  Both terms are divisible by 3 so 3 is the greatest common factor.  3(x^2-49).  In order to completely factor, recognize x^2-49 as the difference of squares.  Factor that into 3(x+7)(x-7).

Answer:

3(x+7)(x-7)

Step-by-step explanation:

Hello!

We can start by taking out the coefficient of 3 by factoring it out.

Factor:

The process of removing a factor or coefficient by dividing it out from the expression.

Factor the expression:

Remove the coefficient of 3

Factor using the product rule: a² - b² = (a+b)(a-b)

There's your factored expression! 3(x+7)(x-7)

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

Answer:

A is the answer

Step-by-step explanation:

The coordinates of D on the trapezium is (1, 8)

The coordinates are given as

A = (-2,-2)

C = (-3/4, -6)

Midpoint AD = (-1/2,3)

The midpoint is calculated as

Midpoint = 1/2 * (x1 + x2, y1 + y2)

So, we have the following:

Midpoint AD = 1/2 * (x1 + x, y1 + y)

This gives

(-1/2, 3) = 1/2 * (-2 + x, -2 + y)

Multiply through the equation by 2

So, we have

(-1, 6) = (-2 + x, -2 + y)

Evaluate the values of x and y in the equations

So, we have

-2 + x = -1

-2 + y = 6

This gives

x = 1

y = 8

So, we have

D = (1, 8)

Hence, the coordinates of D on the trapezium is (1, 8)

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When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include

A. 27, 22, 17, 12, 7

D. 100, 95, 90, 85, 80

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.

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Complete question

Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.

27, 22, 17, 12, 7

5, 10, 15, 20, 25

55, 50, 35, 30, 25

100, 95, 90, 85, 80

75, 65, 55, 45, 35

Answer:

\(\cos G=\dfrac{2}{3}\)

\(\csc E=\dfrac{3}{2}\)

\(\cot G=\dfrac{2}{\sqrt{5}}\)

Step-by-step explanation:

If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).

Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.

\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)

Therefore:

\(\hrulefill\)

To find cos G, use the cosine trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the hypotenuse is EG.

Therefore:

\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)

\(\hrulefill\)

To find csc E, use the cosecant trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle E, the hypotenuse is EG and the opposite side is FG.

Therefore:

\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)

\(\hrulefill\)

To find cot G, use the cotangent trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the opposite side is EF.

Therefore:

\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)

Answer:

5 units

Step-by-step explanation:

hope you will like my answer

The range of values that can be plugged into a function is known as its domain. In a function like f, this set represents the x values (x). The collection of values that a function can take on is known as its range.

By factoring the numerator and denominator and setting them both to zero, the domain of a fraction function can be determined. The domain's values are the roots of the ensuing equation. Using the algebraic method of factoring is another method for determining the domain of a fraction function.

The range of values that can be plugged into a function is known as its domain. In a function like f, this set represents the x values (x). The collection of values that a function can take on is known as its range. The values that the function outputs when we enter an x value are in this set.

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Answer: 1085

Step-by-step explanation:

It would have to have a positive slope and the bottom needs to be shaded, since -2y is negative it means we will be dividing by a negative. The inequality sign will switch.

also if it is < then the line is dotted, if it’s the “greater or equal to sign” then the line is not dotted.

dunno if I explained it very well

The shaded region common to both the inequalities represents the solution set of the inequality → x - 2y² < 12.

An inequality is used to compare two or more expressions or numbers.

For example -

2x > 4y + 3

x + y > 3

x - y < 6

Given is the inequality as -

x - 2y² < 12

The given inequality is -

x - 2y² < 12

2y² - x < - 12

2y² < x - 12

y² < (x/2) - 6

\($y < \pm\sqrt{\frac{x}{2}-6 }\)

\($y < \sqrt{\frac{x}{2}-6 }\)        

and

\($y < -\sqrt{\frac{x}{2}-6 }\)

Refer to the graph of the equation attached. The shaded region common to both the inequalities represents the solution set of the inequality.

Therefore, the shaded region common to both the inequalities represents the solution set of the inequality → x - 2y² < 12.

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The values of functions are

(a) f(0) = -3.                           (b) f(4) = 77.

(c) f(-4) = 45.                         (d) -f(x) = -4x² - 4x + 3.

(e) f(x+1) =  4x² + 12x + 1.       (f) f(-x) =  4x² - 4x - 3.

(g) f(3x) =  36x² + 12x - 3.

(h) f(x+h) =  4x² + 8xh + 4h² + 4x + 4h - 3.

The concept used in this question is evaluating a polynomial function for different values of the input variable. To do this, we substitute the given value into the function in place of the input variable and simplify the resulting expression.

Here we have

The function f(x) = 4x² + 4x-3.

To find the values of functions can be done by replacing x

(a) f(0) = 4(0)² + 4(0) - 3 = 0 + 0 - 3 = -3

(b) f(4) = 4(4)² + 4(4) - 3 = 64 + 16 - 3 = 77

(c) f(-4) = 4(-4)² + 4(-4) - 3 = 64 - 16 - 3 = 45

(d) -f(x) = -[4x² + 4x - 3] = -4x² - 4x + 3.

(e) f(x+1) = 4(x+1)² + 4(x+1) - 3 = 4(x² + 2x + 1) + 4x + 4 - 3 = 4x² + 12x + 1.

(f) f(-x) = 4(-x)² + 4(-x) - 3 = 4x² - 4x - 3.

(g) f(3x) = 4(3x)² + 4(3x) - 3 = 36x² + 12x - 3.

(h) f(x+h) = 4(x+h)² + 4(x+h) - 3 = 4(x² + 2xh + h²) + 4x + 4h - 3

= 4x² + 8xh + 4h² + 4x + 4h - 3.

Hence,

The values of functions are

(a) f(0) = -3.                           (b) f(4) = 77.

(c) f(-4) = 45.                         (d) -f(x) = -4x² - 4x + 3.

(e) f(x+1) =  4x² + 12x + 1.       (f) f(-x) =  4x² - 4x - 3.

(g) f(3x) =  36x² + 12x - 3.

(h) f(x+h) =  4x² + 8xh + 4h² + 4x + 4h - 3.

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\((\stackrel{x_1}{1}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{7}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{1}}} \implies \cfrac{ 5 }{ 5 } \implies \text{\LARGE 1}\)

Answer:

As baby porcupine is backed into cactus, so the spines of cactus will feel like spines of mother porcupine. So the baby porcupine will give  call to its mother.

Step-by-step explanation

He said hi Ma.

Since there are 5 choices and there are 10 possible digits for each digit of the PIN( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9)

The total value possible 5 pins are 10⁵ = 100000

Using permutation, since 5 numbers are selected without repetition:

The probability that no numbers are repeated is= 30240/ 100000

≈ 0.302

Answer:

$19.8($2.7 subtracted off)

Step-by-step explanation:

\(P = 22.5(1 - 12\%)\\P = 22.5(1 - 0.12)\\P = 22.5(0.88)\\P = 19.8\)

Answer:

B.c(m)=3m+14.99

Step-by-step explanation:

The sine equation for the object's height is given as follows:

d = -5sin(0.24t).

The standard definition of the sine function is given as follows:

y = Asin(Bx) + C.

The parameters are given as follows:

The amplitude for this problem is of 5 inches, hence:

A = 5.

The period is of 1.5 seconds, hence the coefficient B is given as follows:

2π/B = 1.5

B = 1.5/2π

B = 0.24.

The function starts moving down, hence it is negative, so:

d = -5sin(0.24t).

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Answer: The Silo is 44 meters tall

Step-by-step explanation:

To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)

The theoretical probability of spinning red is given as follows:

1/3.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For the spinner in this problem, 2 out of 6 regions are red, hence the theoretical probability is given as follows:

2/6 = 1/3.

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Making a graph of linear inequalities is similar to making a graph of linear equations. But with inequalities, we find a region instead of a line.

What is linear inequality?

Linear inequalities are mathematical statements that are made up of two expressions which are compared using inequality symbols.

The following steps are to be followed to make a graph of linear inequality:-

1. Solve the inequality for y.

2. Considering the inequality as a linear equation graph the line. ( If the inequality sign does not contain an equal sign then draw a dashed line; if the inequality contains an equal sign then draw a solid line.

3. Shade the region that satisfies the inequality.

Hence, a system of linear inequality is graphed similarly to that of a linear equation, but a region is obtained.

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Recall that a parabola is a curve where any point is at an equal distance from the focus and the directrix, if (x,y) is a point on the parabola then:

Solving for y we get:

Answer: Second option.

Answer:

10

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want to know the number of real zeros indicated by the graph of a 3rd-degree polynomial that crosses the x-axis in one place.

A real zero is the value of x where the value of y is zero. It is an x-intercept, a value of x where the graph crosses (or touches) the x-axis.

This function has 1 real zero.

Any zeros that are not real are non-real (complex). The polynomial has a number of zeros equal to its degree. Only one of them is real, so the other two zeros of this 3rd-degree polynomial are non-real, or complex.

The function has 2 non-real zeros.

<95141404393>

Answer:

3 (5x -2) (use the distributive property to multiply the number outside the parenthesis by everything inside of it)

15x -6 (this in the answer)

C I hope this helps :))

Step-by-step explanation:

All 3 angles add up to 180 degrees.

so 40 + 2x + 3x = 180

40 + 5x = 180

5x = 140

x = 28

So angle A = 2x = 2(28) = 56 degrees.

Answer: 56°

Step-by-step explanation:

We know that a triangle's angles add up to 180 degrees. We will create an equation to help us solve for x using this information.

     Given:

           2x + 3x + 40 = 180

     Combine like terms:

           5x + 40 = 180

     Subtract 40 from both sides of the equation:

           5x = 140

     Divide both sides of the equation by 5:

           x = 28

Next, we will substitute this value of x into the expression for ∠A.

     ∠A = 2x = 2(28) = 56°