\(4x^{2}-22x+24=0\)

The correct options are

They can work to decrease their marginal cost.

They can raise prices to increase marginal revenue.

They can keep marginal costs below marginal revenues.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

Producers can make the most profit by:

Working to decrease their marginal cost.

Keeping marginal costs below marginal revenues.

Raising prices to increase marginal revenue, as long as it does not decrease demand for their product.

Therefore, the correct options are:

They can work to decrease their marginal cost.

They can raise prices to increase marginal revenue.

They can keep marginal costs below marginal revenues.

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Answer:

The distance is 6

Step-by-step explanation:

the absolute value of -10 is simply 10.

So when trying to find the distance between 10 and 16 simply subtract to find the distance.

Hope this helped, and have a great day

Check the picture below.

so the pebble will hit the ground when h(t) = 0.

It's noteworthy that the pebble is falliing off a cliff, so it was at rest, so its initial velocity is 0, so in essence is falling as fast as gravity can drop it.

\(~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&0\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&256\\ \qquad \textit{of the object}\\ h=\textit{object's height}&\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-16t^2+256\implies 0=-16t^2+256\implies 16t^2=256 \\\\\\ t^2=\cfrac{256}{16}\implies t^2=16\implies t=\sqrt{16}\implies t=4 ~~ seconds\)

Answer:

12.6

Step-by-step explanation:

3.5 x 3600 divided by 1,000 = 12.6 kilograms

Answer:

  \((y+3)^2-\dfrac{(x-2)^2}{16}=1\)

Step-by-step explanation:

You want the system of parametric equations (x, y) = (2-4tan(2t), sec(2t) -3) rewritten as one equation in x and y.

We can solve for tan(2t) and sec(2t) and use the trig identity ...

  sec(2t)² = tan(2t)² +1

  y +3 = sec(2t) . . . . . . add 3

  x -2 = -4tan(2t) . . . . . subtract 2

  (x -2)/(-4) = tan(2t) . . . . divide by 4

Using these expressions in the above identity, we get ...

  \((y+3)^2 = \left(\dfrac{x-2}{-4}\right)^2 +1\)

Subtracting the x-term gives the equation of a hyperbola that opens along the y-axis:

  \(\boxed{(y+3)^2-\dfrac{(x-2)^2}{16}=1}\)

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Answer:

We can rewrite the equation for $x$ as

\(x-2=-4\tan(2t)which \: gives \: us \\ (x-2)/(-4)=\tan(2t)\)

We can also rewrite the equation for $y$ as

\(y=\sec(2t) - 3 \: which \: gives \: us \: \\ y+3=\sec(2t).\)

\(Since \tan and \sec are \: related, we \: know \: that \tan^2 \\ +1=\sec^2. \: Therefore, \tan(2t)^2+1=\sec(2t)^2\)

\(Plugging \: this \: in, we \: get \tan \\ (2t)^2+1=(y+3)^2/(-4)^2.\)

\(Since \tan^2 \\ +1=\sec^2, we \: have (x-2)^2/(-4)^2=(y+3)^2/(-4)^2.\)

\(Simplifying \: further, we \: get \\ (x-2)^2=(y+3)^2.\)

Answer:

needs more context

Step-by-step explanation:

there's no independent variable

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

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

\(\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)

           Which subset of real numbers does \(-\dfrac{17}{20}\)  belong to?

\(\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)

Let's look at the subsets of a much larger number set - real numbers.

These are the subsets:-

Now that we know the subsets of the real numbers set, we can determine where \(-\dfrac{17}{20}\) belongs.

First of all, it's not positive, so it doesn't belong in the natural numbers or whole numbers set. Perhaps it's an integer?

As I said earlier, in the subset of integers, fractions aren't included.

Therefore, it's not an integer either.

However, it's a fraction.

So we conclude that

\(\dashrightarrow\star\bigstar\boxed{\boxed{\underline{\bold{-\frac{17}{20} \:is\:rational}}}}\bigstar\star\dashleftarrow\)

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

Answer:

The answer is x = -4 ± 2i

Step-by-step explanation:

Answer:

\(\bold{2\cdot10^9}\)

Step-by-step explanation:

The given expression s are:

\(8 \cdot 10^4\) and

\(4\cdot10^{-5}\)

To find:

\(8 \cdot 10^4\) is how many times  as large as \(4\cdot10^{-5}\).

Solution:

Let \(8 \cdot 10^4\) is \(x\) times as large as \(4\cdot10^{-5}\).

So, we can say that:

\(8 \cdot 10^4\)  = \(4\cdot10^{-5}\)\(\times\) \(x\)

OR

\(x= \dfrac{8\cdot 10^4}{4\cdot 10^{-5}}\)

Let us have a look at the formula for exponents:

\(\dfrac{x^p}{x^q} = x^{p-q}\)

Here we have:

\(x=10\\p=4\ and\\q=-5\)

Solving the expression using above formula:

\(\Rightarrow x= \dfrac{8}{4}\cdot 10^{4-(-5)}} = \bold{2\cdot10^9}\)

So, Let \(8 \cdot 10^4\) is \(\bold{2\cdot10^9}\) times as large as \(4\cdot10^{-5}\)

Answer: 5 is your answer!

Step-by-step explanation:

The net amount included in adjusted gross income is $10,000 - $3,000 = $7,000. So, $7,000 is Kendall's gambling winnings which is included in adjusted gross income.

Kendall's gambling winnings of $10,000 are included in his adjusted gross income. However, he can claim a deduction for his gambling losses up to the amount of his winnings, which in this case is $3,000. So, the net amount included in adjusted gross income is $10,000 - $3,000 = $7,000.

The sum of an individual's earnings before taxes or other deductions is their gross income, which is also referred to as their gross pay on a paycheck. This covers earnings from all sources, not just employment, and is not restricted to earnings in cash; it also covers earnings from the receipt of goods or services.

For businesses, the terms gross income, gross margin, and gross profit are interchangeable. The total revenue from all sources less the company's cost of goods sold (COGS) equals a company's gross income, which can be found on the income statement.

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Jayson needs to complete at least 7 shifts of 4 hours each at the local animal shelter to fulfill his volunteer work requirement for the class.

To meet the requirement for Jayson's class, he needs to complete at least 35 hours of volunteer work.

He has already completed 7 hours at the food bank, so he still needs to complete:
35 hours (total) - 7 hours (completed) = 28 hours (remaining)
Now, Jayson wants to finish his remaining hours at the local animal shelter where each shift is 4 hours long.

To find out how many shifts he needs to complete, we can divide the remaining hours by the length of each shift:
28 hours (remaining) / 4 hours (per shift) = 7 shifts
Jayson needs to complete 7 shifts at the animal shelter to reach the required 35 hours of volunteer work for his class.

Note: Volunteering is a wonderful way to give back to your community and make a positive impact.

There are numerous opportunities available depending on your interests, skills, and the needs of your local area. Here are a few suggestions:

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Answer:

1

Step-by-step explanation:

To find the slope, we use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 3-2)/(9-8)

     = 1/1

    =1

To determine the image of point C after rotating it 144 degrees counterclockwise about point X, the original vertex would be the image of point C.

When a point is rotated counterclockwise about another point, the image is formed by tracing the path of the original point as it rotates. In this case, point C is rotated 144 degrees counterclockwise about point X. To find the image of point C, we trace its path as it rotates and identify the final position.

However, without specific information about the coordinates of point C and point X, it is not possible to determine the exact image or the original vertex. Additional information or coordinates are needed to determine the image accurately.

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Answer:

False

Step-by-step explanation:

You can transform a function many times

:)

Opposite sides of parallelogram are equal and parallel

So

And

Now

AB:-

AD:-

Perimeter:-

Answer:

P(3) = 57/150 = 19/50 = .38 = 38%

Answer:

x=3-2i

Step-by-step explanation:

According to my calculations, this should be good

Answer: 21.21

Step-by-step explanation: 8.04 + 8.04 + 5.13 = 21.21

Step-by-step explanation:

Warren bought 2 pounds of hazelnuts, which cost $8.04 per pound, so he spent:

2 pounds * $8.04/pound = $16.08

He also bought 1 pound of walnuts, which cost $5.13 per pound, so he spent:

1 pound * $5.13/pound = $5.13

Therefore, the total amount Warren spent is:

$16.08 + $5.13 = $21.21

a. The price elasticity of blue jeans on the weekend is approximately -2.14, indicating that a 1% decrease in price will result in a 2.14% increase in quantity demanded.

b. The quantity demanded of blue jeans will increase by approximately 10.7%.

a. The price elasticity of demand measures the responsiveness of the quantity demanded to a change in price. It is calculated as the percentage change in quantity demanded divided by the percentage change in price.

Given:

Price = $40

Price of khakis = $50

Advertising = $2

Weekend (dummy variable) = 1 (indicating it is the weekend)

To calculate the price elasticity of blue jeans on the weekend, we need to use the coefficient for the "Price" variable from the regression results.

Price elasticity of demand = (Coefficient for Price * Price) / Quantity demanded

Coefficient for Price = -4.5 (from regression results)

Price = $40 (given)

Quantity demanded can be calculated using the regression equation:

Quantity demanded = Intercept + (Coefficient for Price * Price) + (Coefficient for Price Khakis * Price of khakis) + (Coefficient for Advertising * Advertising) + (Coefficient for Weekend * Weekend)

Intercept = 200 (from regression results)

Coefficient for Price Khakis = 2.2 (from regression results)

Coefficient for Advertising = 6.5 (from regression results)

Coefficient for Weekend = 10.0 (from regression results)

Quantity demanded = 200 + (-4.5 * 40) + (2.2 * 50) + (6.5 * 2) + (10.0 * 1)

Quantity demanded = 200 - 180 + 110 + 13 + 10

Quantity demanded = 153

Now we can calculate the price elasticity of demand:

Percentage change in quantity demanded = (Quantity demanded - Quantity demanded with a 5% price decrease) / Quantity demanded

Percentage change in quantity demanded = (153 - Quantity demanded with a 5% price decrease) / 153

Percentage change in price = 5% (given)

Price elasticity of demand = (Percentage change in quantity demanded / Percentage change in price) * (Price / Quantity demanded)

Price elasticity of demand = ((153 - Quantity demanded with a 5% price decrease) / 153) / 0.05 * (40 / 153)

To find the quantity demanded with a 5% price decrease, we calculate:

New price = $40 - (5% of $40) = $40 - ($2) = $38

New quantity demanded = 200 + (-4.5 * 38) + (2.2 * 50) + (6.5 * 2) + (10.0 * 1)

New quantity demanded = 200 - 171 + 110 + 13 + 10

New quantity demanded = 162

Substituting the values into the formula:

Price elasticity of demand = ((153 - 162) / 153) / 0.05 * (40 / 153)

Price elasticity of demand = (-0.059 / 0.05) * (40 / 153)

Price elasticity of demand ≈ -2.14

The price elasticity of blue jeans on the weekend is approximately -2.14, indicating that a 1% decrease in price will result in a 2.14% increase in quantity demanded.

b. We already calculated the price elasticity of demand (-2.14). Now, we can use this elasticity to determine the percentage change in quantity demanded when the price is reduced by 5%.

Percentage change in price = -5% (given)

Percentage change in quantity demanded = Price elasticity of demand * Percentage change in price

Percentage change in quantity demanded = -2.14 * (-5%)

Percentage change in quantity demanded = 10.7%

Therefore, if the price of blue jeans is reduced by 5%, the quantity demanded will increase by approximately 10.7%.

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Answer:

Step-by-step explanation:

Given relationships:

DE = 2 AC

DE║AC

m∠BCA = 2(m∠BED)

DE = AC

Answer:

Bisection

In geometry, bisection is the division of something into two equal or congruent parts, usually by a line, which is then called a bisector. The most often considered types of bisectors are the segment bisector and the angle bisector.

Angle Bisector

The (interior) bisector of an angle, also called the internal angle bisector (Kimberling 1998, pp. 11-12), is the line or line segment that divides the angle into two equal parts. The angle bisectors meet at the incenter.

Sources: Wiki

Answer:

48

Step-by-step explanation:

There are 2 half-miles per every mile

2*24=48

Answer:

x = 5.200

Step-by-step explanation:

Given equation is,

x³ - 4.6x² - 7.03x = -20.332

x³ - 4.6x² - 7.3x + 20.332 = 0

By graphing this equation with the help of a graphing calculator,

Solutions of the equation are the points where y = 0.

In other words, x intercepts are the solutions.

Solutions for the given equation are,

x = -2.3, 1.7 and 5.2

Therefore, solution for the given equation in the interval [4, 7] is x = 5.200

Option D is the correct answer. all angles in a triangle are acute

A triangle in which all three internal angles of the triangle are acute is also called an acute-angled triangle.

Properties are Acute angles:

We have the formula to calculate the area of the acute angle triangle = (½) × b × h square units.

Where,

“b” is the base of the triangle.

“h” is to be the height of a triangle.

If the sides are given, then we have to apply Heron’s formula:

The area of the acute triangle:

A=√S(S-a)(S-b)(S-c)

square units

Where S defines the semi-perimeter of a triangle

The S can be solved by using the formula:

S = (a + b + c)/2

The perimeter of an acute triangle is equal to the sum of the length of the sides of a triangle,

The perimeter  is given as:

Perimeter = a + b + c

It is measured in units.

a, b, and c are the sides of the triangle.

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Answer:

1The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y).

The proportion used to find the value of a is a/18 = 16/a

Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

Given are three similar triangles, (refer to attached figure to separately see the similar triangles)

We know that, similar triangle have corresponding sides in equal ratio,

Therefore,

a/18 = 16/a

Hence, the proportion used to find the value of a is a/18 = 16/a

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Answer:

p= 18,275

Step-by-step explanation:

The function would be p=29,175(-0.925)^t. You would then substitute t for 6 and solve from there to get p=18,275.

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