what is 4 - (-10) equal too? explain in your own words and why so

Answer:

Step-by-step explanation:

answer; exponential

y - increase by x6

Answer:

-1/3

Step-by-step explanation:

Slope is rise over run. Every 3 units to the left, it rises 1 unit, so the slope is -1/3.

Answer:

66.4°

Step-by-step explanation:

Let ∠XYZ be x°.

Given the adjacent side, XY, and the hypotenuse side,YZ, we use cosine.

\( cosθ= \frac{adj}{hyp} \\ cosx° = \frac{6}{15} \)

To find the value of x°, take the inverse of cosine.

\( x°\\ = cos^{ - 1} (\frac{6}{15} ) \\ = 66.4° \: (1 \: d.p.)\)

Thus, ∠XYZ= 66.4°

*Given 2 sides, we can find the measure of an angle in a right- angled triangle by taking the inverse of the trigonometry function.

Answer:

0;0;2;9;8;4

Step-by-step explanation:

(2)^(3)

36.481;2.5

-3*(-2/3)-1

8;1;2;9;0;4

0;0;2;9;8;4

Answer:

D

Step-by-step explanation:

Answer:

Its D

Step-by-step explanation:

I was to lazy to provide an explanation

It cannot be determined. At least one other point on the line is needed to determine if x is proportional to y

Given data ,

A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6

Now , A single point on a straight line does not define the connection between x and y. We must evaluate the connection between x and y for several places on the line in order to establish if x is proportional to y.

As a result, the relationship between x and y cannot be inferred only from the supplied location (3, 6). To establish the proportionality between x and y, at least one more point on the line is required

Hence , the equation of line is solved

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Answer:

B

Step-by-step explanation:

you would just divide 37 from 8659

Answer:

1) Factored Form: y = (x - 3)(x + 1)

  X intercepts: (-1, 0), (3, 0)

  Axis of Symetry: x = 1

  Vertex: (1, -4)

  Domain: All real numbers -  (-∞, ∞)

  Range: y ≥ 4

2) Facotred Form: y = (x - 8)(x + 1)

   X intercepts: (-1, 0), (8, 0)

   Axis of symetry: x = 3.5

   Vertex: (3.5, -20.25)

   Domain: All real numbers - (-∞, ∞)

   Range: y ≥ -20.25

Step-by-step explanation:

Answer:

Type 2

Step-by-step explanation:

Equation of the line is:

y=2

slope is 0

Hello,

I hope you and your family are doing well!

The answer is D: No Solution

The equation √x - 1 = -4 does not have a solution, because the square root of a number cannot be negative.

To understand why, recall that the square root of a number is defined as the number that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4, because 4 * 4 = 16.

Since a number multiplied by itself is always positive, it follows that the square root of a number must always be positive or zero. Therefore, it is not possible for the square root of a number to be negative.

Therefore, the equation √x - 1 = -4 does not have a solution, because the left-hand side of the equation (√x - 1) cannot be equal to the negative number on the right-hand side (-4).

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(B) Distinct parallel lines

Answer:

  B.  Distinct parallel lines

Step-by-step explanation:

These two equations have the same slope 4/3 which means they are parallel.

y = mx + b

m is slope

b is y-intercept

\(y = \frac{4}{3} x + \frac{5}{3}\)

\(y - 8 = \frac{4}{3} (x + 6)\)

     \(y = \frac{4}{3} x + 16\)

a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. b)  Guy will pay $4,070 in tax on the $11,000 dividend he received. c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated.

a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. This is because the dividends distributed to shareholders are not deductible expenses for the corporation. Dividends are paid out of after-tax profits and are not considered a deductible expense for the distributing corporation.

b) Guy will pay $4,070 in tax on the $11,000 dividend he received from Marathon Incorporated, including the net investment income tax. To calculate the tax, we need to consider Guy's marginal ordinary tax rate and the net investment income tax. Assuming Guy's marginal ordinary tax rate is 37 percent, the tax on the dividend would be $4,070 (0.37 * $11,000). The net investment income tax is an additional 3.8 percent tax on investment income for individuals with certain income thresholds, so it would also apply to the dividend income received by Guy.

c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated. This is because C corporations are eligible for a 50 percent dividends-received deduction. The dividends-received deduction allows corporations to exclude 50 percent of the dividends received from taxable income. In this case, Little Rock Corporation would be able to exclude $16,500 (50 percent of $33,000) from its taxable income, resulting in a tax liability of $0 on the dividend income.

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A measure of center that is most appropriate to represent the data in the line plot and its value include the following: C. The median is the best measure of center, and it equals 7.

In Mathematics and Statistics, a line plot simply refers a type of graph that is used for the graphical representation of data set above a number line, while using crosses, dots, or any other mathematical symbol.

Based on the data and information provided in the line plot shown above, we can reasonably infer and logically deduce that the median is considered as a measure of center that is most appropriate to represent the data because there are no outliers present.

1, 2, 6, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9.

Therefore, the median = 7.

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Missing information:

Which of the following is the best measure of center for the data, and what is its value?

The median is the best measure of center, and it equals 6.5.

The mean is the best measure of center, and it equals 7.

The median is the best measure of center, and it equals 7.

The mean is the best measure of center, and it equals 6.5.

If the defendeant is guilty, the probability that the jury makes the correct decision is approximately 0.476.

To calculate the probability that the jury makes the correct decision, we need to consider two cases: the defendant is guilty and the defendant is not guilty.

Let's start with the case where the defendant is guilty. The probability that any individual juror makes the correct decision on the defendant is 0.80. Therefore, the probability that at least 10 out of 12 jurors make the correct decision is given by the binomial distribution:

P(at least 10 out of 12 jurors say "guilty") = sum of P(k jurors say "guilty") for k = 10, 11, 12

Using a binomial calculator or formula, we can find that this probability is approximately 0.952.

Now let's consider the case where the defendant is not guilty. In this case, the probability that any individual juror makes the correct decision is 0.20 (since they should say "not guilty"). Therefore, the probability that at least 10 out of 12 jurors say "guilty" when the defendant is actually not guilty is given by the same binomial distribution:

P(at least 10 out of 12 jurors say "guilty" | defendant is not guilty) = sum of P(k jurors say "guilty") for k = 10, 11, 12

Using the binomial formula, we can find that this probability is approximately 0.0003.

To find the probability that the jury makes the correct decision, we need to weigh the two cases by their respective probabilities:

P(correct decision) = P(defendant is guilty) * P(at least 10 out of 12 jurors say "guilty") + P(defendant is not guilty) * P(at least 10 out of 12 jurors say "guilty" | defendant is not guilty)

Plugging in the values, we get:

P(correct decision) = 0.5 * 0.952 + 0.5 * 0.0003 = 0.476

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Answer:

\(f(x)=-\frac{3}{7} (x+4)(x-4)(x-2)\)

Step-by-step explanation:

If the graph passes through (-4, 0) (4, 0) and (2, 0) then it has 3 points of intersection with the x-axis.

Therefore, y = a(x + 4)(x - 4)(x - 2)

To find a, substitute the final point (3, 3) into the above equation and solve for a:

at (3, 3):    3 = a(3 + 4)(3 - 4)(3 - 2)

                3 = -7a

                a = -3/7

Therefore, \(y=-\frac{3}{7} (x+4)(x-4)(x-2)\)

The attached image represents the foci of the hyperbola

The equation of the hyperbola is given as:

\(\frac{x^2}{625} - \frac{y^2}{3600} = 1\)

Rewrite as:

\(\frac{x^2}{25^2} - \frac{y^2}{60^2} = 1\)

A hyperbola is represented as:

\(\frac{(x - h)^2}{b^2} - \frac{(y - k)^2}{a^2} = 1\)

This means that:

h = 0

k = 0

b = 25

a = 60

Next, calculate c the distance from the center to the focus using:

\(c = \sqrt{a^2 -b^2}\)

This gives

\(c = \sqrt{60^2 -25^2}\)

Evaluate

\(c = \pm \sqrt{2975}\)

This means that:

Foci = (0, -√2975) and (0, √2975)

See attachment for the hyperbola and the foci

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520 x 12 months x 4 years = 24960

24960 + 3000 deposit = 27,960 total paid.

27,960 - 13,000 = 14,960 total interest paid

Answer:8000

Step-by-step explanation:

The Volume of the box will be 8000 in.³

What is volume ?

Volume is a three dimensional space occupy by the body of particular shape such as here :

It should be noted that a box has six sides that are equal. In this case, we've been given the side of one of the lengths to be 20 inches.

The volume of a cube is :

V = a³

Therefore, the Volume of the box will be :

V = 20³

V = 8000 in.³

Therefore, the Volume of the box will be 8000 in.³

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The data collected in [n] days is collected in 24n hours.

The SI unit of time is Seconds. In 1 second, there are (1/60) minutes.

Given is Dr. Choi who just started an experiment and he will collect data for days.

Assume that he collects the data for [n] number of days. In one day, we have 24 hours. Therefore, in [n] number of days, there will be total of 24n hours.

Therefore, the data collected in [n] days is collected in 24n hours.

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a) The pοints οn the curve with x-cοοrdinate 1 are (1, 3) and (1, -2). The equatiοn οf the tangent line at (1, -2) is y = (3/2)x - 5/2.

b) The x-cοοrdinate οf each pοint οn the curve where the tangent line is vertical is apprοximately ±1.443.

A curve is defined as a smοοthly- flοwing cοntinuοus line that has bent. It dοes nοt have any sharp turns. The way tο identify the curve is that the line bends and changes its directiοn at least οnce.

a) Tο find all pοints οn the curve whοse x-cοοrdinate is 1, we substitute x = 1 intο the equatiοn and sοlve fοr y:

1 * y² - 1³ * y = 6

y² - y = 6

y² - y - 6 = 0

Factοring the quadratic equatiοn, we have:

(y - 3)(y + 2) = 0

Setting each factοr equal tο zerο, we find twο pοssible values fοr y:

y - 3 = 0 --> y = 3

y + 2 = 0 --> y = -2

Therefοre, the pοints οn the curve with x-cοοrdinate 1 are (1, 3) and (1, -2).

Tο find the equatiοn οf the tangent line at each οf these pοints, we need tο find the derivative dy/dx and evaluate it at each pοint.

Differentiating the equatiοn οf the curve implicitly with respect tο x, we get:

2xy * dy/dx - 3x² * y - x³ * dy/dx = 0

Rearranging the terms and sοlving fοr dy/dx, we have:

dy/dx * (2xy - x³) = 3x² * y

dy/dx = (3x² * y) / (2xy - x³)

At the pοint (1, 3):

dy/dx = (3 * 1² * 3) / (2 * 1 * 3 - 1³) = 9 / 5

Using the pοint-slοpe fοrm οf a line, we can write the equatiοn οf the tangent line at (1, 3) as:

y - 3 = (9/5)(x - 1)

y = (9/5)x - 6/5

At the pοint (1, -2):

dy/dx = (3 * 1² * -2) / (2 * 1 * -2 - 1³) = -6 / (-4) = 3/2

The equatiοn οf the tangent line at (1, -2) is:

y - (-2) = (3/2)(x - 1)

y = (3/2)x - 5/2

b) Tο find the x-cοοrdinate οf each pοint οn the curve where the tangent line is vertical, we need tο find the x-values where the derivative dy/dx is undefined οr infinite.

Frοm the expressiοn fοr dy/dx derived earlier:

dy/dx = (3x² * y) / (2xy - x³)

The derivative will be undefined οr infinite when the denοminatοr is equal tο zerο:

2xy - x³ = 0

x(2y - x²) = 0

This equatiοn will hοld true when x = 0 οr 2y - x² = 0.

Fοr x = 0, substituting intο the οriginal equatiοn:

0 * y² - 0³ * y = 6

0 - 0 = 6 (which is nοt true)

Therefοre, we can exclude x = 0 as a valid sοlutiοn.

Fοr 2y - x² = 0, we can substitute 2y fοr x² in the οriginal equatiοn:

xy² - (2y)³ * y = 6

xy² - 8y³ = 6

y(xy² - 8y²) = 6

This equatiοn dοes nοt prοvide a straightfοrward sοlutiοn fοr the x-cοοrdinate when the tangent line is vertical. Tο determine the x-cοοrdinate, yοu can either sοlve this equatiοn numerically οr graphically.

Using numerical methοds, we can apprοximate the x-cοοrdinate fοr the vertical tangent line. Substituting different values οf y intο the equatiοn, we find that when y ≈ 1.042, the equatiοn is satisfied. Plugging this value οf y back intο 2y - x² = 0, we can sοlve fοr the cοrrespοnding x-cοοrdinate:

2(1.042) - x² = 0

2.084 - x² = 0

x² = 2.084

x ≈ ±1.443

Therefοre, the x-cοοrdinate οf each pοint οn the curve where the tangent line is vertical is apprοximately ±1.443.

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Sensitivity analysis involves assessing the impact of alternative assumptions on the feasibility of a facility. By evaluating worst-case scenarios and analyzing project risk, the viability of the facility can be determined.

Identify key assumptions: Determine the assumptions that have the most significant impact on the feasibility of the facility. These could include factors like construction costs, operating expenses, revenue projections, interest rates, market demand, etc.

Define alternative scenarios: Create a range of alternative scenarios by varying the identified assumptions. For example, you can consider best-case, base-case, and worst-case scenarios by adjusting the assumptions in percentage or raw value terms.

Evaluate financial viability: For each alternative scenario, analyze the financial viability of the facility. Calculate key financial indicators such as net present value (NPV), internal rate of return (IRR), payback period, and profitability ratios. Compare the results of the different scenarios to assess their feasibility.

Assess project risk: Consider the level of project risk based on the assumptions and sensitivity analysis. Identify the scenarios that pose the highest risk to the project's success. Factors such as high construction costs, low market demand, or unfavorable interest rates can increase project risk.

Identify conditions for feasibility: Determine the conditions under which the facility remains feasible. Analyze the scenarios that yield positive financial indicators and meet the desired profitability thresholds. These conditions indicate the project's viability under conservative assumptions.

Mitigate risks: Develop strategies to mitigate the risks identified in the sensitivity analysis. This could involve adjusting the project scope, exploring alternative financing options, implementing cost-saving measures, or conducting further market research.

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To find a vector in the direction of the line segment from Po to P1 ,each component in the vector are found by subtracting coordinates in Po from P1, and then dividing each resulting component by length. Correct option is A.

To find a vector in the direction of the line segment from P₀ (X₀,Y₀,Z₀) to P₁ (X₁,84,21), we can use the formula:

v = P1 - Po

where v is the vector in the direction of the line segment from Po to P1. This formula works because subtracting two points gives us the vector that points from one point to the other.

Therefore, the correct option is A. Each component in the vector can be found by subtracting corresponding coordinates in Po from P1, and then dividing each resulting component by the length of the line segment. This is because we want the vector to have a length of 1, which is the same as the length of the line segment.

To obtain the unit vector, we divide the vector v by its magnitude:

u = v/||v||

where ||v|| is the magnitude of the vector v, which is given by:

||v|| = √((X1 - xo)^2 + (Y1 - Yo)^2 + (Z1 - Zo)^2)

The resulting vector u is a unit vector in the direction of the line segment from Po to P1.

In summary, to find a vector in the direction of the line segment from Po to P1, we subtract the coordinates of Po from P1 to get the vector, divide by the length of the line segment to get a unit vector, and then calculate its magnitude to obtain a vector in the direction of the line segment. Therefore, the correct option is A.

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To determine the cost allocated to the land, we need to calculate the proportionate cost of the land in relation to the total appraised value of the real estate. Therefore, the cost allocated to the land is $32,500.

The total cost paid for the real estate is $310,000 plus $15,000 in closing costs, totaling $325,000. To allocate the cost to the land, we need to calculate the proportion of the land's appraised value to the total appraised value of the real estate.

The total appraised value of the real estate is the sum of the appraised values of the land, building, and land improvements, which amounts to $35,000 + $105,000 + $210,000 = $350,000.

To calculate the cost allocated to the land, we divide the appraised value of the land by the total appraised value of the real estate and multiply it by the total cost paid:

Cost allocated to land = (Appraised value of land / Total appraised value) * Total cost

= ($35,000 / $350,000) * $325,000

= 0.1 * $325,000

= $32,500

Therefore, the cost allocated to the land is $32,500. This allocation is based on the relative appraised value of the land compared to the total appraised value of the real estate.

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Answer:

B: g(x) = -4(x + 3)^2

Step-by-step explanation:

When we shift to the left by a units

we have the new equation become

( x + 3)^2

Stretching by a factor of 4, we have it that;

4(x + 3)^2

reflecting over the x-axis means the y-axis value becomes negative

So we have

g(x) = -4(x + 3)^2

The probability that the HR director will select an employee who is not a multiple of 13 is 0.92 or 92%.

There are 50 employees in total, and we want to find the probability of selecting an employee who is not a multiple of 13.

We can first determine the number of employees who are multiples of 13. We know that 13 is a factor of 13, 26, 39, and 50, so there are four employees who are multiples of 13.

Therefore, the number of employees who are not multiples of 13 is 50 - 4 = 46.

The probability of selecting an employee who is not a multiple of 13 is then:

P(not multiple of 13) = number of employees who are not multiples of 13 / total number of employees

P(not multiple of 13) = 46 / 50

P(not multiple of 13) = 0.92 or 92%

Therefore, the probability that the HR director will select an employee who is not a multiple of 13 is 0.92 or 92%.

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Answer:

5x + 41

Step-by-step explanation:

-2x - -7x = 5x

13 + 28 = 41

Answer:

m = 0

Or Slope intercept form of y = mx+b

y=-5

Step-by-step explanation:

The order of every element in (Z18, +) is as follows:

Order 1: 0

Order 3: 6, 12

Order 6: 3, 9, 15

Order 9: 2, 4, 8, 10, 14, 16

Order 18: 1, 5, 7, 11, 13, 17

The set (Z18, +) represents the additive group of integers modulo 18. In this group, the order of an element refers to the smallest positive integer n such that n times the element yields the identity element (0). Let's find the order of every element in (Z18, +):

Element 0: The identity element in any group has an order of 1 since multiplying it by any integer will result in the identity itself. Thus, the order of 0 is 1.

Elements 1, 5, 7, 11, 13, 17: These elements have an order of 18 since multiplying them by any integer from 1 to 18 will eventually yield 0. For example, 1 * 18 ≡ 0 (mod 18).

Elements 2, 4, 8, 10, 14, 16: These elements have an order of 9. We can see that multiplying them by 9 will yield 0. For example, 2 * 9 ≡ 0 (mod 18).

Elements 3, 9, 15: These elements have an order of 6. Multiplying them by 6 will yield 0. For example, 3 * 6 ≡ 0 (mod 18).

Elements 6, 12: These elements have an order of 3. Multiplying them by 3 will yield 0. For example, 6 * 3 ≡ 0 (mod 18).

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Answer:

70 m / 40 seconds = 7/4 m/s or 1.75 m/s

Step-by-step explanation:

the line stops at 0.7 time = 40 seconds

70 m / 40 seconds = 7/4 m/s or 1.75 m/s