What is the distance between -14 and -16.5 on a number line??

Answer:

Slope

Step-by-step explanation:

The rate of change is also known as the slope of a line on a graph.

The equation for a plane can be written in the form ax + by + cz = d, where a, b, and c are the coefficients of x, y, and z, respectively, and d is a constant.

To find the equation for the plane through the given points, we first need to find two vectors that lie in the plane. We can do this by subtracting one point from another:

v1 = Q - Po = (-3, -2, -1) - (1, -5, -5) = (-4, 3, 4)
v2 = Ro - Po = (-5, 3, 0) - (1, -5, -5) = (-6, 8, 5)

Now we can find the normal vector to the plane by taking the cross product of v1 and v2:

n = v1 x v2 = (-4, 3, 4) x (-6, 8, 5) = (-44, -4, 36)

The coefficients of x, y, and z in the equation of the plane are simply the components of the normal vector:

-44x - 4y + 36z = d

To find the value of d, we can substitute one of the points into the equation and solve for d:

-44(1) - 4(-5) + 36(-5) = d
d = -444

So the equation of the plane, using a coefficient of -17 for x, is:

-17x + 2y - 2z = 74
To find the equation of the plane through points P(1, -5, -5), Q(-3, -2, -1), and R(0, -5, 3), we first need to find two vectors in the plane, then compute their cross product to get the normal vector of the plane.

Vectors PQ and PR can be found as follows:

PQ = Q - P = <-3 - 1, -2 - (-5), -1 - (-5)> = <-4, 3, 4>
PR = R - P = <0 - 1, -5 - (-5), 3 - (-5)> = <-1, 0, 8>

Now, compute the cross product of PQ and PR:

N = PQ × PR = <3 * 8 - 4 * 0, -(-1 * 8 - 4 * 4), -1 * 0 - 4 * 3> = <24, 24, -12>

We are given that the coefficient of x is -17, so we need to scale the normal vector to get the desired coefficient. The scaling factor is:

-17 / N_x = -17 / 24

Scaled normal vector: <-17, -17, 8.5>

Now, we can use the scaled normal vector and the coordinates of P to find the equation of the plane:

-17(x - 1) - 17(y + 5) + 8.5(z + 5) = 0

Thus, the equation of the plane is:

-17x - 17y + 8.5z = 42.5

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\(8\sqrt{2}\)Step-by-step explanation:

The expected money deposited in Clarie's account in next 12 months is listed below:

First, we must derive a formula that will generate the geometric sequence for the money remaining in Clarie's account:

\(c = c_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}\)     (1)

Where:

If we know that \(c_{o} = 300\) and r = - 50, then the money left for each month is shown in the image attached below.

The image quality is poor to the point of being very hard to read. However, it coincides with the complete statement, which is presented in the question.

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Answer:

43

Step-by-step explanation:

Answer:

the answer is 46% which is option d.

Step-by-step explanation:

To calculate Jim's DTI (debt-to-income) ratio, we need to divide his total monthly debt payments by his gross monthly income.

His total monthly debt payments are:

$2,500 (mortgage payment)

$250 (lease payment)

$500 (credit card payments)

$425 (speed boat payment)

Total Monthly Debt Payments = $2,500 + $250 + $500 + $425 = $3,675

His gross monthly income is his annual salary of $96,000 divided by 12 months which is $8,000

DTI = Total Monthly Debt Payments / Gross Monthly Income = $3,675 / $8,000 = 0.46 or 46%.

The value of Jim's DTI (debt-to-income) ratio is 40%.

Debt to income ratio is usually calculated as a percentage of the gross monthly debt payments divided by the gross monthly income.

Given that,

Annual salary = $96,000

Monthly income = 96000/12 = $8000

Total income per month = $8000 + $1,200 = $9,200

Monthly expenses = $2,500 + $250 + $500 +  $425

                               = $3675

DTI = 3675 / 9,200 = 0.399 = 39.9% ≈ 40%

Hence the DTI of Jim is 40%.

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If a bacterial growth rate is 3 cells every 2 minutes and there were initially 260, there will be 290 cells after 21 minutes which is found by using multiplication and addition.

what is Multiplication?

Multiplication is an arithmetic operation that combines two or more numbers to find their product. It is one of the fundamental operations in mathematics and is denoted by the "×" or "*" symbol.

The growth rate of the bacteria is 3 cells every 2 minutes. This means that in a span of 2 minutes, the number of cells increases by 3.

To find the total number of cells after 21 minutes, we need to calculate the number of 2-minute intervals in 21 minutes. Since there are 10 intervals of 2 minutes in 20 minutes (10 intervals * 2 minutes = 20 minutes), we know that the number of cells at the end of 20 minutes is 260 + (10 intervals * 3 cells) = 290 cells.

Now, for the remaining 1 minute, we can calculate the additional cells. In this case, the growth rate is still 3 cells every 2 minutes. Therefore, in 1 minute, the number of cells increases by (1/2) * 3 = 1.5 cells. Thus, the total number of cells after 21 minutes is 290 + 1.5 = 291.5 cells.

Since we cannot have a fraction of a cell, we round the result to the nearest whole number. Therefore, after 21 minutes, there will be 290 cells.

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The earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

a. The earnings per share for Company XYZ can be calculated by dividing the closing price by the P/E ratio. In this case, the closing price is $100.76 and the P/E ratio is 1525. Therefore, the earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

b. Based on the historical P/E ratio range of 12-14, the stock price of Company XYZ seems overpriced. The P/E ratio indicates the price investors are willing to pay for each dollar of earnings generated by the company. A higher P/E ratio suggests that investors have higher expectations for future earnings growth. In this case, the P/E ratio of 1525 is significantly higher than the historical range of 12-14, indicating that the stock is being valued at a much higher premium relative to its earnings. This suggests that the stock price may be inflated and not in line with the company's historical valuation metrics, indicating an overpriced condition.

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9514 1404 393

Answer:

  \(a=\sqrt{33}\)

Step-by-step explanation:

The Pythagorean theorem tells you that the area of the square with side 'a' is the difference of the areas of the other two squares.

  a² = 7² -4²

  a² = 49 -16 = 33

  a = √33

Using alternating and corresponding angle theorems, the values of x are 11, 4, -4 and 10 respectively

Alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.

1)

9x + 8 = 107 (alternating angles are equal)

9x + 8 = 107

9x = 107 - 8

9x = 99

x = 11

2)

20x = 80 (alternating angles are equal)

20x = 80

x = 4

3)

x + 84 = 80 (corresponding angles are equal)

x = 80 - 84

x = -4

4) 120 + 6x = 180

This is gotten from applying alternating angle theorem and angle on a straight line theorem

120 + 6x = 180

6x = 180 - 120

6x = 60

x = 10

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To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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Answer:

if it is a right angle triangle then;

step 1   Determine if hypotenuse or side

step 2 calculate a^2+b^2 = c^2  or c^2-b^2 = a^2 if not given hypotenuse.

if it is an obtuse or scalene triangle then

step 1.  Determine the triangle third length we use trigonometry as cos (side a/sideb) to determines the angle between a and b.

With such angle for opposite side we can use sin (angle) x side to find hypotenuse or sin(angle) x hypotenuse to find side.  

Step-by-step explanation:

According to the most recent data from the U.S. Bureau of Labor Statistics (BLS), as of 2020, approximately 10.1% of Americans are self-employed.

This means that out of the total U.S. population, about 1 in 10 individuals are working for themselves rather than being employed by someone else.

It is important to note that the percentage of self-employed individuals can vary depending on various factors such as economic conditions, industry trends, and personal preferences. For example, certain industries like agriculture, construction, and professional services tend to have higher rates of self-employment compared to others.

Self-employment offers individuals the opportunity to have more control over their work, set their own schedules, and potentially earn higher incomes. However, it also comes with certain challenges such as the need to handle business-related tasks like marketing, finances, and customer acquisition.

Overall, the percentage of self-employed Americans provides insights into the dynamic nature of the job market and the various ways people choose to earn a living.

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Answer:

its a function

Step-by-step explanation:

hope this helps.

Yes, it is a function

Answer:

4.85 hours

Step-by-step explanation:

(1 hr 35 minutes) + (60 minutes) + (61 minutes) + (20 minutes) + (55 minutes) =

4.85 hours

Answer:

B. A water wheel in a dry river

Step-by-step explanation:

Work is said to be done when a force moves a body or an object through a certain distance in the direction of the force. Thus for work to be done, force and distance are required.

i.e Work done = Force x distance

It is measured in Joules.

Also, the work done by an object could be a measured of potential energy.

So that,

Work done = potential energy = mass x gravitational force x height

Considering the collage in the question, since the water wheel is in a dry river no work is done. Water wheel is a device that functions through the flow of water body, thus causing its rotation.

When finding local maxima and minima from the graph of a derivative, we need to identify the points where the derivative changes sign. These points represent the locations of local maxima and minima on the original function.

When finding local maxima and minima from the graph of a derivative, we need to understand the relationship between the original function and its derivative. The derivative of a function represents the rate of change of the function at any given point. Local maxima and minima occur where the derivative changes sign from positive to negative or from negative to positive. At these points, the slope of the original function changes from increasing to decreasing or from decreasing to increasing.

By following these steps, we can identify the local maxima and minima from the graph of a derivative.

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Identify the critical points, Determine the intervals, Analyze the sign changes and Check the endpoints

To find the local maximum and minimum points from the graph of a derivative, you can follow these steps:

Identify the critical points: These are the points where the derivative is either zero or undefined. Find the values of x where f'(x) = 0 or f'(x) is undefined.

Determine the intervals: Divide the x-axis into intervals based on the critical points and any other points of interest. Each interval represents a section of the graph where the derivative is either positive or negative.

Analyze the sign changes: Within each interval, observe the sign of the derivative. If the derivative changes sign from positive to negative, there is a local maximum at that point. If the derivative changes sign from negative to positive, there is a local minimum at that point.

Check the endpoints: Also, check the derivative's sign at the endpoints of the graph. If the derivative is positive at the leftmost endpoint and negative at the rightmost endpoint, there is a local maximum at the left endpoint. Conversely, if the derivative is negative at the leftmost endpoint and positive at the rightmost endpoint, there is a local minimum at the left endpoint.

By following these steps and analyzing the sign changes of the derivative within intervals, as well as checking the endpoints, you can identify the local maximum and minimum points from the graph of the derivative.

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Answer:

the fish is now at 5 m

Step-by-step explanation:

13-8=5

Answer:

25% off

Step-by-step explanation:

Answer It’s Save 20$, cause if u buy Something More then 88$ U could 20% off which the new price will be 68$ (to make sure Take 88 from 20 Which will prob be 68) but 68$ would be the new price if Lacey Picked the “Save $20 one purchased Of $75 or more”

Step-by-step explanation hope this helps

Answer:

Genuilly I think you’re correct

sorry if it wrong

but, it looks correct and I think it’s correct

The lengths of the bases (8 and 4), multiply by the height (3), and divide by 2. This gives us the correct area of the trapezoid.

A) No, Thomas is not correct in his thinking. Adding the height and base 2 together and dividing by base 1 will not give the correct area of a trapezoid.

B) The correct way to find the area of a trapezoid is to use the formula: A = (b1 + b2) * h / 2, where b1 and b2 are the lengths of the parallel bases, and h is the height perpendicular to those bases.

C) Using the formula, we can calculate the area of the trapezoid in Thomas's question as follows: A = (8 + 4) * 3 / 2 = 18 square inches. We add the lengths of the bases (8 and 4), multiply by the height (3), and divide by 2. This gives us the correct area of the trapezoid.

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Answer: C

Step-by-step explanation: Just replace x=1,2,3,4 to see which answers satisfy the given conditions

Answer:

Step-by-step explanation:

I dont know which b and c you are talking about, so...

3) b) 8, c) 19

4) b) 10, c) 16

Hope its helps u

Thank You

Please mark as brainliest

Answer:

14.18 cm

Step-by-step explanation:

Area = pi r^2

sqrt ( area/pi)  = r

diameter is 2 x r     and circumference is pi * d

circumference      pi *   2 * ( sqrt area/pi)  = 14.18 cm

Answer:

  (3.75, 3.5)

Step-by-step explanation:

The weighting factors for the weighted average of the end points are the reverse of the length ratios.

For a 1 : 3 split, the first point is weighted by a factor of 3; the second point is weighted by a factor of 1. The weighted sum is divided by the total of the weights.

  (3(3, 2) +1(6, 8))/(3+1) = (9+6, 6+8)/4 = (3.75, 3.5)

Answer:

\(\fbox{\begin{minipage}{9em}Option d is correct\end{minipage}}\)

Step-by-step explanation:

Given:

Point A(3, 2)

Point B(6, 8)

Point C lies on segment line AB and divides AB into a ratio of 1 : 3

Solve for:

Coordinate of C

Solution:

Denote the coordinate of origin O(0, 0)

Point A(3, 2) => Vector OA(3 - 0, 2 - 0) or OA(3, 2)

Point B(6, 8) => Vector OB(6 - 0, 8 - 0) or OB(6, 8)

=> Vector AB = Vector OB - Vector OA = (6 - 3, 8 - 2) or vector AB(3, 6)

Point C lies on segment line AB and divides AB into a ratio of 1 : 3

=> Vector AC = (1/3) Vector CB, or

    AC/CB = 1/3

=> AC/(AC + CB) = 1/(1 + 3)

=> AC/AB = 1/4

=> AC = AB/4

=>  Vector AC = (1/4) Vector AB  = ((1/4)*3, (1/4)*6) = (0.75, 1.5)

=> Vector OC = Vector OA + Vector AC = (3 + 0.75, 2 + 1.5) = (3.75, 3.5)

=> C(3.75, 3.5)

Option d is correct!

Answer: 18

Step-by-step explanation:

\(12(1.50)=18\)

Some information that someone might use to solve problems related to a circle design is the Tangent Arc theorem.

The tangent arc theorem states that if an angle is formed by two secants, one secant, one tangent, or two tangents, and also intersects in a space outside of the circle, then the value obtained will be equal to the difference of the values of the intercepted arcs divided by one and a half.

Also, note that angles outside a circle are those whose vertex or arc is pointed outwards and their sides are either secants or tangents. With this information, it will be possible to solve problems related to tangent lines and arc measures.

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Answer:

224

Step-by-step explanation:

b = 32, h = 7 is the solution to P = 78. Hence, 7*32 = 224 is the answer

To calculate Evan's AGI (Adjusted Gross Income) and taxable income if he files as a single taxpayer, we need to consider his income and deductible expenses.

Calculate Evan's total income:
  - Salary: $73,650
  - Part-time hourly pay: $700

  Total income = Salary + Part-time pay = $73,650 + $700 = $74,350

Deductible expenses:
  - Moving expenses: $1,200
  - Student loan interest: $2,890
  - Uniform cost: $1,490
  - Cash contribution: $1,345

  Total deductible expenses = $1,200 + $2,890 + $1,490 + $1,345 = $6,925

Calculate AGI:
  AGI = Total income - Total deductible expenses
  AGI = $74,350 - $6,925 = $67,425

Evan's taxable income is equal to his AGI since there were no other deductions mentioned in the question.

Therefore, Evan's AGI is $67,425, and his taxable income is also $67,425.

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Evan's AGI is $67,425 and his taxable income is $54,875 if he files as a single taxpayer.

We have,

Income:

Salary: $73,650

Part-time work pay: $700

Total income: $73,650 + $700 = $74,350

Deductible Expenses:

Cost of moving possessions: $1,200

(This deduction applies if the move meets certain distance and time requirements. Since the move was 125 miles away, it meets the distance requirement.)

Interest paid on student loans: $2,890

Cost of purchasing a delivery uniform: $1,490

Cash contribution to State University deliveryman program: $1,345

Total deductible expenses:

$1,200 + $2,890 + $1,490 + $1,345

= $6,925

Now we can calculate Evan's AGI and taxable income:

AGI (Adjusted Gross Income)

= Total income - Deductible expenses

AGI = $74,350 - $6,925 = $67,425

Taxable Income = AGI - Standard Deduction

For a single filer in 2022, the standard deduction is $12,550.

Taxable Income = $67,425 - $12,550 = $54,875

Therefore,

Evan's AGI is $67,425 and his taxable income is $54,875 if he files as a single taxpayer.

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