Find the slope of the line passing through the points (-4. 2) and (9. 2).

Solution for the equation four fifths times v plus 5 equals three fifths times v minus 6 ,which means (4/5)v+5 = (3/5)v - 6  is v= -55 .

In the question ,

the equation is given as ,(four fifths times v plus 5 equals three fifths times v minus 6) , which means

\(\frac{4}{5} v +5=\frac{3}{5} v-6\)

Combining like terms together and solving we get ,

(4/5)v-(3/5)v = -6-5

Simplifying further we get ,

(1/5)v= -11

v/5 = -11

Multiplying both sides by 5 we get ,

v = -11*5

v= -55

Therefore , the solution for the equation (4/5)v+5 = (3/5)v - 6  is v= -55 .

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Answer:

predict the impact of removing snakes from this food web

The overall probability of selecting three Americans is:5/13 * 4/12 * 3/11 = 5/143 Answer: 5/143

Probability of selecting first American = number of Americans / total number of people= 5 / (5 + 8)= 5 / 13

Probability of selecting the second American = number of Americans / total number of remaining people after selecting the first American

= 4 / 12 (as there will be 12 people remaining after selecting the first American, which includes 4 Americans and 8 Italians)

Probability of selecting the third American = number of Americans / total number of remaining people after selecting the first and second American

= 3 / 11 (as there will be 11 people remaining after selecting the first and second American, which includes 3 Americans and 8 Italians)

Therefore, the overall probability of selecting three Americans is:5/13 * 4/12 * 3/11 = 5/143 Answer: 5/143

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Answer:

M-7

Step-by-step explanation:

"seven less than m" means you're taking 7 away from the value of m. The equation for this would simply be "M-7".

The angle measures of the triangles before and after dilation are the same

Given that, we have a triangle that is dilated to form another triangle by a scale factor of n

The dilation transformation is a rigid transformation

This means that it changes the size of a shape after it is applied

However, the shape and the image would be similar shapes and as such would have their angles unchanged

This means that irrespective of the value of the scale factor n, the angle measures would remain the same

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Answer:

first one -4+3 is -1 not 1

Answer:

The first one

−4+3=−1

Marissa's shape is classified as a scalene and obtuse triangle, considering it's concepts presented in this problem.

The triangle has three sides of unequal length, as the opposite angle measures are different, hence it is classified as an scalene triangle.

(it would be equilateral if all had the same length, and isosceles if two sides have the same length).

The triangle has one angle larger than 90º, hence it is classified as an obtuse triangle.

(acute with no angles of 90º or greater, right with one angle of exactly 90º).

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Answer:

z=3

Step-by-step explanation:

6z-30=-12

6z=18

z=3

Answer:

z = 3

Step-by-step explanation:

When solving for z, we have to isolate the variable (z). We do this by adding, subtracting, multiplying, and dividing. When we do one of them, we must do it for both sides to "keep it even".

We can start by seeing that the 3 on the left is not in the parentheses meaning multiplication. So, to get z alone, the first step is dividing both sides by 3.

3(2z-10) = -12

/3             /3

2z-10 = -4

The next step to getting z alone is adding 10 to both sides.

2z-10 = -4

+10      +10

2z = 6

For the final step in getting z alone, we can see that on the left sides, it says 2z, meaning 2 times z. To undo this and get it alone, we can divide both sides by 2

2z = 6

/2     /2

z = 3

Therefore, the answer is z = 3

The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

Given that,

We have to find why i squared is equal to negative 1.

We know that,

The imaginary numbers are denoted as i.

We occasionally obtained negative integers in equations when using the radican (square root) symbol to solve them. When they realized this, some would halt and respond, "no actual solution," which is technically accurate. We can further simplify radicals by using the imaginary number I which is the square root of real numbers. We occasionally even manage to get rid of the fictitious element, which provides us with actual solutions.

The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

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Answer:

The length of the line segment is

d = √(x₂ - x₁)² + (y₂ - y₁)²

PART A: Neither EOS A nor EOS B possess a critical temperature. PART B: Liquefaction is possible for a gas described by EOS A due to its pressure-dependent term. PART C: Liquefaction is not possible for a gas described by EOS B because of its constant positive term (Vm – b).


PART A:
To determine if either of the equations of state possesses a critical temperature, we need to check if they exhibit a phase transition from gas to liquid at a specific temperature. In thermodynamics, the critical temperature is the temperature above which a substance cannot exist in the liquid phase, regardless of the pressure applied.
Equation of State A: pV^m = RT(1 + Vm * b)
In this equation, there is no specific term or condition that indicates a critical temperature. Therefore, EOS A does not possess a critical temperature.
Equation of State B: p(Vm – b) = RT
Similarly, there is no term or condition that suggests a critical temperature in EOS B. Thus, EOS B also does not possess a critical temperature.
PART B:
For a gas described by EOS A, liquefaction may be possible. To liquefy a gas, we need to decrease its temperature and increase the pressure. The equation of state A, pV^m = RT(1 + Vm * b), allows for the possibility of liquefaction because as the pressure increases, the term (1 + Vm * b) becomes larger. By sufficiently decreasing the temperature and increasing the pressure, it is possible to reach conditions where the gas would condense into a liquid state.
PART C:
Liquefaction would not be possible for a gas described by EOS B. The equation of state B, p(Vm – b) = RT, does not allow for the possibility of liquefaction because the term (Vm – b) is always positive. Regardless of how much we decrease the temperature or increase the pressure, the gas will not condense into a liquid state according to EOS B.

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The foil was approximately 3.4 × 10⁷ atoms thick.

Rutherford's foil was made of gold and was used in his famous alpha particle scattering experiment. The thickness of the foil can be calculated by dividing its actual thickness by the diameter of a single gold atom.

Let's assume that the gold atoms in the foil are arranged in a simple cubic lattice. In this case, the actual thickness of the foil can be calculated as the number of gold atoms along one edge of the cube times the diameter of a single gold atom:

actual thickness = number of atoms × diameter of a single atom

To calculate the number of gold atoms, we need to know the density of gold and the mass of the foil. Let's assume that the density of gold is 19.3 g/cm³ and the mass of the foil is 0.6 mg = 6.0 × 10⁻⁷ kg.

The volume of the foil can be calculated as its mass divided by its density:

volume = mass / density = 6.0 × 10⁻⁷ kg / (19.3 × 10³ kg/m³) = 3.11 × 10⁻¹⁰ m³

The volume of the foil is also equal to the product of its actual thickness, the area of one face of the cube (which is the square of the number of atoms along one edge), and the volume of a single gold atom (which is (4/3)πr³, where r is the radius of the atom):

volume = actual thickness × (number of atoms)² × (4/3)πr³

Substituting the diameter of a single gold atom (2.9 × 10⁻¹⁰ m) for 2r, we get:

volume = actual thickness × (number of atoms)² × (4/3)π(1.45 × 10⁻¹⁰ m)³

Equating the two expressions for the volume of the foil, we get:

actual thickness × (number of atoms)² × (4/3)π(1.45 × 10⁻¹⁰ m)³ = 3.11 × 10⁻¹⁰ m³

Solving for the number of atoms, we get:

number of atoms = √(3.11 × 10⁻¹⁰ m³ / [(4/3)π(1.45 × 10⁻¹⁰ m)³]) ≈ 3.4 × 10⁷

So the foil was approximately 3.4 × 10⁷ atoms thick.

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The net income for this firm is approximately $114,805.07.

The net working capital for XYZ is approximately $140,204.97.

To calculate the net income for the firm, we need to subtract the costs, depreciation expense, interest expense, and taxes from the sales revenue.

Net Income = Sales - Costs - Depreciation Expense - Interest Expense - Taxes

Net Income = $805,894.71 - $291,242.57 - $47,676.96 - $37,735.51 - (39% * $805,894.71)

Net Income = $805,894.71 - $291,242.57 - $47,676.96 - $37,735.51 - $314,433.56

Net Income ≈ $114,805.07

Therefore, the net income for this firm is approximately $114,805.07.

To calculate the net working capital for XYZ, we need to subtract the current liabilities from the current assets.

Net Working Capital = Current Assets - Current Liabilities

Net Working Capital = $239,540.33 - $99,335.36

Net Working Capital ≈ $140,204.97

Therefore, the net working capital for XYZ is approximately $140,204.97.

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Answer:

196m²

Step-by-step explanation:

area is w multiplied by h so 14x14

Answer:

196 \(m^{2}\)

Step-by-step explanation:

The area of a rectangle is length times width.  A square is a type of rectangle that has four equal sides, so if we know one side we know all four.

A = l x w

A = 14m x 14m

A = 196\(m^{2}\)

Answer:

Step-by-step explanation:

I think the answer is 0-1, but i will have to see the answers to determine.

Hope it helps!

Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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Answer:

  B.  -2, 2

Step-by-step explanation:

Apparently, we're to presume that f(x) is the line that is graphed. It has a y-intercept of +1 and a slope (rise/run) of 1/2. Its equation is ...

  f(x) = 1/2x +1

If we want points of intersection, we want to solve the equation f(x) = g(x) for the values of x that make it so.

  1/2x +1 = √(x +2)

Squaring both sides, we get ...

  1/4x² +x + 1 = x +2

  1/4x² = 1 . . . . . . . . . . . . subtract x+1 from both sides

  x² -4 = 0 . . . . . . . . . . multiply by 4, subtract 4

  (x -2)(x +2) = 0 . . . . factor the difference of squares

  x = -2, 2 . . . . . . . . . values of x that make the factors zero

The solutions to f(x) = g(x) are x = -2 and x = 2.

_____

Additional comment

The attached graph shows the x- and y-values at the points of intersection. The solutions to f(x) = g(x) are only the x-values, -2 and 2.

The square of (ax +b) is ...

  (ax +b)² = a²x² +2abx +b²

The point-slope equation of a line is ...

  y = mx + b . . . . . line with slope m and y-intercept b

Answer:

x=-3h

x=-12

Step-by-step explanation:

\(\frac{x}{h} +1=-2\)

\(\frac{x}{h} =-3\)

\(x=-3h\)

\(x=-3(4)\)

\(x=-12\)

Variation is characteristic of data is a measure of the amount that the data values​ vary.

What is variation?

Variation is a measure of how spread out the data is around the center of the data.

The term variance refers to a statistical measurement of the spread between numbers in a data set. More specifically, variance measures how far each number in the set is from the mean (average), and thus from every other number in the set. Variance is often depicted by this symbol: σ

The coefficient of variation is a more representative measure of dispersion than the previous ones, because it is an abstract number.

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Answer: D.4/7

Step-by-step explanation:

     First, we will find out how many marbles are in the bag.

3 red + 1 blue + 4 yellow - 1 red = 2 red + 1 blue + 4 yellow = 7 marbles

     Now, we will put wanted outcomes over possible outcomes.

\(\displaystyle \frac{\text{wanted outcomes, yellow marbles}}{\text{possible outcomes, marbles in the bag}} =\frac{4\text{ yellow}}{\text{7 marbles}} =\text{D. 4/7}\)

Answer:

The answer is 4/7

D

Step-by-step explanation:

3x²+3xy+y²

3×5²+3×5×4+4²

3×25+60+16

75+60+16

151

hope it help u

can u show horozontally

Answer:

D. No; the graph fails the vertical line test

The correct option is D.  No,  the graph fails the vertical line test.

The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function. It is done by visually examining the number of intersections of the curve with vertical lines.

In the given graph, the graph of a function intersects the y axis twice.

Any vertical line in the x y plane must intersect the graph of a function at most once.

Thus, the correct option is D.

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Answer: The slope of a perpendicular line will be m = 3/2. To find the perpendicular gradient take the negative inverse of the original gradient.

Step-by-step explanation:

The slope of a perpendicular line will be m = 3/2. To find the perpendicular gradient take the negative inverse of the original gradient.

By 'negative inverse' I mean change the sign and switch the numerator and denominator (the top and bottom of the fraction).

The original gradient there is m = - 2/3. Remember the line equation: y = mx + c.

To gain the perpendicular gradient change the - to +, move the 3 to the top and the 2 to the bottom. Now m = + 3 / 2 = 3/2

To calculate the annualized rate of return, we can use the formula for compound interest. The correct answer is 11.66%.

The formula for compound interest is given by: A = P(1 + r)^t, where A is the final amount, P is the principal amount, r is the annual interest rate, and t is the time in years.

In this case, the initial investment (P) is BD 14,000, the final amount (A) is BD 52,600, and the time (t) is 12 years. We need to solve for the annual interest rate (r).

\(BD 52,600 = BD 14,000(1 + r)^{12}\)

By rearranging the equation and solving for r, we find:

\((1 + r)^{12} = 52,600/14,000\)

Taking the twelfth root of both sides:

\(1 + r = (52,600/14,000)^{(1/12)}\\r = 0.1166 / 11.66 \%\)

Therefore, Areej has earned an annualized rate of approximately 11.66% on this investment.

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The measure of side JG is approximately 115 units in the quadrilateral GHIJ.

What is quadrilateral ?

A quadrilateral is a four-sided polygon, which means it is a closed figure with four straight sides. The word "quadrilateral" comes from the Latin words "quadri," which means "four," and "latus," which means "side."

Since quadrilateral CDEF is similar to quadrilateral GHIJ, the corresponding sides are proportional.

Let x be the length of side JG. Then we have:

JG/DE = HI/CF

Substituting the given values, we get:

x/57.5 = 40/20

Simplifying, we get:

x = (57.5 * 40)/20 = 115

Therefore, the measure of side JG is approximately 115 units.

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Symbolab is an online math tool that offers a wide range of math-related services, including a derivative calculator. The derivative calculator provided by Symbolab is a free tool that allows users to calculate the derivative of a given function with respect to a variable.

To use the Symbolab derivative calculator, you simply need to enter the function you want to differentiate and choose the variable with respect to which you want to differentiate the function. The calculator will then provide you with the derivative of the function in a step-by-step format, including the derivative rules used at each step.

The Symbolab derivative calculator supports a wide range of functions, including trigonometric functions, exponential functions, logarithmic functions, and more. It also supports partial derivatives and implicit differentiation.

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Answer:

a part

Step-by-step explanation:

Attachment added....

Hope it helps :)

Answer: = a^2 + 2ab + 2(ac+ b^2 + 2bc)

Step-by-step explanation: