13/14​% of a quantity is equal to what fraction of the​ quantity?

Level of advertisement expenditure when x < 300, Q'(x) >0 units of product sold is increasing and when x > 300 ,Q'(x) < 0 product sold in decreasing.

Function is equal to ,

Q(x) = -x² + 600x + 25

'Q' represents the firm estimated number of units sells its product with an advertising expenditure.

To get the critical point get the first derivative of Q(x) ,

Q'(x) = -2x + 600

Now equate it to zero.

Q'(x) = 0

This implies

⇒ -2x + 600 = 0

⇒ 2x = 600

⇒ x = 300

For x < 300 , Q'(x) is positive.

Number of units of product sold is increasing for the level of advertising expenditure.

For x > 300, Q'(x) is negative .

Number of units of product sold is decreasing for the level of advertising expenditure.

Therefore, the level of advertising expenditure is x  < 300 then the number of units of product is increasing and when x > 300 then it is decreasing.

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Answer:

x=7

Step-by-step explanation:

subtracting 3 from both sides, you get x=7.

The dividend of the given polynomial division is: x³ - 4x² + 2x + 5

We can write a polynomial dividend as the product of the divisor and the quotient added to the remainder. The terms of the polynomial division correspond to the digits (and place values) of the whole number division. This method allows us to divide two polynomials.

We are given:

Divisor = (x - 2)

Quotient = x² - 2x -2

Remainder = 1

Thus:

First term = x * x² = x³

Second term = -2x² - 2x² = -4x²

Third term = 2x

Fourth term = 5

Thus, the dividend = x³ - 4x² + 2x + 5

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Answer:

0.78

Step-by-step explanation:

Perimeter = 0.26 cm + 0.26 cm + 0.26 cm

Perimeter = 0.78 cm

Therefore, the perimeter of the equilateral triangle with a side length of 0.26 cm is 0.78 cm.

Answer:

The system of equations has no solution.

Step-by-step explanation:

Given the system of equations

2y = 2x+7

x = y+2

solving the system of equations

\(\begin{bmatrix}2y=2x+7\\ x=y+2\end{bmatrix}\)

Arrange equation variables for elimination

\(\begin{bmatrix}2y-2x=7\\ -y+x=2\end{bmatrix}\)

Multiply -y+x=2 by 2:  -2y+2x=4

\(\begin{bmatrix}2y-2x=7\\ -2y+2x=4\end{bmatrix}\)

so adding

\(-2y+2x=4\)

\(+\)

\(\underline{2y-2x=7}\)

\(0=11\)

so the system of equations becomes

\(\begin{bmatrix}2y-2x=7\\ 0=11\end{bmatrix}\)

0 = 11 is false, therefore the system of equations has no solution.

Thus,

No Solution!

I cannot see the text. If you take another picture zoomed in I will answer it.

Answer:

The country Australia had the greatest percentage of its students report being right hand dominant with approximately 86%

Answer:

  x = 2(z -y)

Step-by-step explanation:

Multiply by the inverse of the coefficient of x.

  x = 4y(z -y)/2y

  x = 2(z -y) . . . . . . . . y ≠ 0

_____

The equation is meaningless if y = 0.

Answer:

i just wanted to say god bless yall and im sry for not answerinng the question

Step-by-step explanation:

The solution is y(t) = (1/4)e^(-2t) - (1/8)te^(-2t). The graph of the solution, you can use software like MATLAB or Python with plotting libraries such as matplotlib.

To solve the given initial-value problems and plot the graphs of the solutions:

Problem 7:

The differential equation is:

y'' + 4y' = t

We have the initial conditions:

y(0) = 0

y'(0) = 0

y''(0) = 1

To solve this equation, we can use the Laplace transform method.

Taking the Laplace transform of the differential equation, we get:

s^2Y(s) - sy(0) - y'(0) + 4(sY(s) - y(0)) = 1/s^2

Simplifying and substituting the initial conditions, we get:

s^2Y(s) + 4sY(s) = 1/s^2

Rearranging the equation and factoring out Y(s), we get:

Y(s) = 1/(s^2(s^2 + 4s))

Using partial fraction decomposition, we can write:

Y(s) = A/s + B/s^2 + C/(s + 2) + D/(s + 2)^2

Finding the values of A, B, C, and D, we can inverse Laplace transform Y(s) to obtain the solution y(t).

The solution to the initial-value problem is:

y(t) = A + Bt + Ce^(-2t) + Dte^(-2t)

Using the initial conditions, we find:

A = 0, B = 0, C = 1/4, D = -1/8

Therefore, the solution is:

y(t) = (1/4)e^(-2t) - (1/8)te^(-2t)

To plot the graph of the solution, you can use software like MATLAB or Python with plotting libraries such as matplotlib.

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Answer:

x = 26

Step-by-step explanation:

1 / 3 (x - 2) = 1 / 5 (x + 4) + 2

1/3x - 2/3 = 1/5x + 4/5 + 2

1/3x - 1/5x = 4/5 + 2/3 + 2

(5x - 3x)/15 = (12 + 10 + 30) / 15

2x / 15 = 52 / 15

2x = 52

x = 52 / 2

x = 26

Answer:

x=26

Step-by-step explanation:

Answer:

32.

Step-by-step explanation:

This is an arithmetic sequence with first term a1 = -6 and common difference 2.

an = a1 + d(n - 1)

a20 = -6 + 2(20-1) = 32

Let's solve the system of equations using row operations. We'll create an augmented matrix with the coefficients of the variables and the constant terms.

The given system of equations is:

1) x + y + z = 5

2) 2x + y = 4

3) -x - y = -4

We can represent this system as an augmented matrix:

[ 1   1   1 | 5 ]

[ 2   1   0 | 4 ]

[-1  -1   0 | -4 ]

To eliminate the variable "x" in the second row, we'll subtract twice the first row from the second row:

[ 1   1   1 | 5 ]

[ 0  -1  -2 | -6 ]

[-1  -1   0 | -4 ]

Next, let's eliminate the variable "x" in the third row. We'll add the first row to the third row:

[ 1   1   1 | 5 ]

[ 0  -1  -2 | -6 ]

[ 0   0   1 | 1  ]

Now, we'll eliminate the variable "y" in the second row by multiplying the second row by -1:

[ 1   1   1 | 5 ]

[ 0   1   2 | 6  ]

[ 0   0   1 | 1  ]

Finally, let's eliminate the variable "y" in the first row. We'll subtract the second row from the first row:

[ 1   0  -1 | -1 ]

[ 0   1   2 | 6  ]

[ 0   0   1 | 1  ]

At this point, we have an upper triangular matrix. We can use back substitution to find the values of the variables.

From the third row, we have z = 1.

From the second row, we have y + 2z = 6. Substituting z = 1, we get y + 2(1) = 6, which simplifies to y + 2 = 6. Solving for y, we have y = 4.

From the first row, we have x - z = -1. Substituting z = 1, we get x - 1 = -1. Solving for x, we have x = 0.

Therefore, the solution to the system of equations is x = 0, y = 4, and z = 1.

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Answer:

B is the correct function

Step-by-step explanation:

To make a 1.5 mg/ml solution from a 10 mg/ml stock solution, 750 µl of the stock must be taken.

To create a 1.5 mg/ml solution from a 10 mg/ml stock solution, we need to use the formula C1V1=C2V2. C1, the concentration of the stock solution, is 10 mg/ml. V1 is the volume of the stock solution, and C2 is the desired concentration, 1.5 mg/ml. V2 is the final volume, 5 ml. We can solve for V1 by rearranging the equation to V1 = (C2V2)/C1. Therefore, V1 = (1.5 x 5)/10 = 0.75 ml = 750 µl. We need to take 750 µl of the 10 mg/ml stock solution to make a 1.5 mg/ml solution with a total volume of 5 ml. To make a 1.5 mg/ml solution from a 10 mg/ml stock solution, 750 µl of the stock must be taken.

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Answer:

10

Step-by-step explanation:

if you multiply 2 and 5 together, you get a product of 10.

Answer: it would be 2d because its the product and product means to multiply

Answer:

a) height =14in

b) height =27cm

Step-by-step explanation:

a)

\(v = \frac{l \times w \times h}{3} \)

where,

Substitute these values and solve for h.

\(h = 3 \frac{v}{lw} \\ h = 3. \frac{448}{8.12} = 14\)

b)

\(v = \frac{1}{3} ah\)

where, a=area of the base

plug in the given values and solve for h

\(v = \frac{1}{3} ah \\ 3v = ah \\ h = \frac{3v}{a} \\ h = \frac{3(270)}{30} \\ h = 27cm\)

If the quadrilateral is a trapezoid , then the value of x is = (b) 5 .

We know that the Midsegment of a trapezoid is parallel to each of the base and it's length is one half the sum of the lengths of the bases.

From the figure , we can observe that ⇒ side lengths are  21 units, 27 units , and the sides are parallel to each other.

From the given diagram of the trapezoid , the below expression is true:

that means : ⇒ 5x-1 = (21 + 27)/2  ;

⇒ 2(5x - 1) = 21 + 27 ;

⇒ 10x = 48 + 2 ;

⇒ 10x = 50

On Divide both sides by 10 ;

we have ;

⇒ x = 50/10  ;

⇒ x = 5  .

Therefore , for the quadrilateral the value of x is = 5 .

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The given question is incomplete , the complete question is

The quadrilateral in the below figure is a trapezoid. What is the value of x ?

(a) 4

(b) 5

(c) 48

(d) 25

At the upper triple point, solid graphite, liquid carbon, and gaseous carbon dioxide coexist in equilibrium.

In a phase diagram for carbon, the upper triple point represents a specific combination of temperature and pressure where all three phases of carbon—solid (graphite), liquid (carbon), and gas (carbon dioxide)—coexist in equilibrium.

At this point, there is a delicate balance between the three phases, and any deviation from the exact temperature and pressure values would cause one or more phases to dominate.

The upper triple point is a unique set of conditions where solid graphite, liquid carbon, and gaseous carbon dioxide can exist simultaneously.

It's important to note that the precise values of temperature and pressure at the upper triple point may vary depending on the specific phase diagram being referenced.

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The closest value to 6.28 is 10 cubic feet. Therefore, the correct answer is: A. 10 cubic feet

To calculate the approximate volume of concrete that Angel will use, we need to determine the volume of the slab.

The slab is in the shape of a cylinder, and its volume can be calculated using the formula:

V = πr²h

where V is the volume, r is the radius, and h is the height of the cylinder.

From the given information, we know that the slab is 6 inches tall. However, we need to convert the dimensions to the same unit before proceeding with the calculations. Let's convert the dimensions to feet:

Height = 6 inches = 6/12 feet = 0.5 feet

Radius = 2 feet

Now we can substitute the values into the formula to find the volume:

V = π(2²)(0.5)

 = π(4)(0.5)

 = 2π cubic feet

Approximating π to 3.14, we can calculate the volume:

V ≈ 2(3.14)

 ≈ 6.28 cubic feet

Therefore, the approximate volume of concrete that Angel will use is 6.28 cubic feet.

Looking at the given answer choices, the closest value to 6.28 is 10 cubic feet. Therefore, the correct answer is:

A. 10 cubic feet

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Type II errors occur when a researcher retains the null hypothesis when it should be rejected.

Type II errors, also known as false negatives, happen when a researcher fails to reject the null hypothesis when it is actually false. In hypothesis testing, the null hypothesis represents the default assumption or the absence of an effect. The alternative hypothesis, on the other hand, suggests that there is a significant relationship or effect present in the data.

To determine whether to reject or retain the null hypothesis, researchers perform statistical tests based on sample data. When the sample data provides strong evidence against the null hypothesis, the researcher should reject it in favor of the alternative hypothesis. However, in some cases, the sample data may not be sufficiently representative or the statistical test may lack power, leading the researcher to erroneously retain the null hypothesis.

By retaining the null hypothesis when it should be rejected, the researcher commits a Type II error. This means that a true effect or relationship in the population goes unnoticed or is falsely dismissed. Type II errors can have serious consequences, particularly in scientific research or decision-making processes where failing to detect a significant effect can lead to missed opportunities or incorrect conclusions. To minimize the risk of Type II errors, researchers often strive to increase sample sizes, improve experimental designs, or use more powerful statistical tests.

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Answer:

7 Acorns

Step-by-step explanation:

12 acorns - 5 acorns = 7 acorns

Answer:

h = -3

Translates the parent function 3 units to the left.

Step-by-step explanation:

An absolute value function, f(x) = |x - h| + k, is a mathematical function that returns the non-negative magnitude (absolute value) of a real number x. Graphically, it is a V-shape with its vertex at (h, k), and is symmetric about the x-value of its vertex, x = h.

As the graph of the given function passes through two points (-6, -2) and (-0, -2) that have the same y-value of y = -2, and the function is symmetric about the x-value of its vertex, the value of h is the midpoint of the x-values of the two points:

\(h=\dfrac{-6-0}{2}=\dfrac{-6}{2}=-3\)

We are told that the graph has a vertex at (h, -5), so k = -5.

Substituting the values of h and k into the given function gives:

\(f(x)=|x-(-3)|-5\)

\(f(x)=|x+3|-5\)

This is a V-shaped graph, with a vertex at (-3, -5), symmetric about x = -3, and that passes through the points (-6, -2) and (0, -2).

The absolute value parent function is f(x) = |x|.

Adding "a" to the x value of the function translates the graph a units to the left. Therefore, as substituting h = -3 into the formula results in the addition of 3 to the x-value, the graph of the parent function has been translated 3 units to the left.

Subtracting k from the function translates the graph k units down. Therefore, as k = -5, this value translates the graph of the parent function 5 units down.

Math

-

Because point B is midpoint of AC , so AB = BC . Therefore :

8x + 4 = 10x - 6

10x - 8x = 4 + 6

2x = 10

x = 5 ✓

_____

Answer:

1/6 = 60/360

Step-by-step explanation:

The circle is split into 6 parts and a circle equals 360°

1/6 = x/360

Cross Multiply...

6x = 360

Divide to isolate x...

x = 60

The equation measures the angle that will be 1 / 6 = x / 360. Then the correct option is D.

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

A circle is divided into equal parts. An angle turns through one of the parts, as shown below.

Then the equation shows a way to get the measure of the angle that will be

The arc of the circle makes 360°. And the circle is divided into six equal parts, and then the angle of each section will be equal.

Let x be the angle of each section.

Then the ratio of the area of the complete circle and one-sixth circle. Then we have

A₁ = 6A₂

Then we have

A₂ / A₁ = [(x/360) πr²] / [πr²]

A₂ / 6A₂ = x / 360

1 / 6 = x / 360

Then the value of x will be

x = 60°

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Answer: I’m sorry I meant B

Step-by-step explanation: 9.6/3=3.2

3.2•8=25.6

Answer:

--------------

Use the sum of the first n terms formula:

We are given:

First, let's find n using the nth term formula:

Now, we can find the sum using the formula:

The sum of the geometric series is 186.

b. The matrix is invertible. The given matrix has 4 pivot positions. this is correct statement.

To determine if the matrix is invertible, we need to check if it is a square matrix and if its columns form a linearly independent set.

The given matrix is a square matrix, as it has the same number of rows and columns (4x4).

To check if its columns form a linearly independent set, we can perform row reduction or look for pivot positions. In this case, by observing the matrix, we can see that it has 4 pivot positions, which means that the columns form a linearly independent set.

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Answer:(4,-25)

Step-by-step explanation: