In the △ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC.

btw i need two answers for bc not just one

Problem 1

PMT = 505.76 = monthly payment

k = monthly interest rate in decimal form

k = 0.043/12 = 0.003583333 (approximate)

n = 5*12 = 60 months

PVOA = present value of ordinary annuity

PVOA = PMT * ( 1 - (1+k)^(-n) )/k

PVOA = 505.76 * ( 1 - (1+0.003583333)^(-60) )/0.003583333

PVOA = 27,261.436358296

When rounding to the nearest dollar, we get $27,261

Your teacher made a mistake in choosing the formula. S/he mixed up present value ordinary annuity with annuity due. The (1+k) portion at the end is ignored. I rewrote the 1/( (1+k)^n ) sub-portion as (1+k)^(-n) to avoid a bit of clutter.

--------

To type this into excel we will write

=PV(0.043/12,5*12,505.76,0,0)

That will produce the result of -27,261.44. The negative is to indicate a cash outflow.

Don't forget about the equal sign up front when writing excel formulas.

=====================================================

Problem 2

L = loan amount = 23099

k = interest rate per month = 0.051/12 = 0.00425 exactly

n = number of months = 5*12 = 60 months

PMT = monthly payment

PMT = (Lk)/(1 - (1 + k)^(-n) )

This formula is the result of solving PVOA = PMT * ( 1 - (1+k)^(-n) )/k for "PMT". The PVOA value is the loan amount in this case.

Let's plug in the values mentioned

PMT = (Lk)/(1 - (1 + k)^(-n) )

PMT = (23099*0.00425)/(1 - (1 + 0.00425)^(-60) )

PMT = 436.965684557303

PMT = 437 when rounding to the nearest whole number

--------

To do this in excel, we type in

=PMT(0.051/12,5*12,23099,0,0)

The output should be -436.97 which rounds to -437.

The value is negative to represent a cash outflow, but your teacher mentions to post the answer as a positive value.

Answer:

27.5

This is because you plug the numbers into the equation. Hope this helps!

In statistical experiments, each time the experiment is repeated, a different outcome may occur. The correct answer is C.

Statistical experiments involve random processes, such as the random selection of individuals from a population, the random assignment of subjects to groups, or the random measurement of a variable.

The outcome of a statistical experiment is influenced by chance and is inherently uncertain, so it is not possible to guarantee that the same outcome will occur every time the experiment is repeated. Different outcomes may occur, even if the experimental conditions are kept constant, due to the random nature of the processes involved.

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Step-by-step explanation:

equality have the same values where as inequality have different values

Answer:

using the properties of equality on any equation will not change the solution set. When multiplying or dividing an any quality by a negative number, you must reverse the inequality symbol or he will not get the correct solution set.

Step-by-step explanation:

The total amount of money in the account after 9 months is $1,445, with an initial deposit of $1200 and 2.5% annual interest.

Annual interest is the interest earned or paid over the course of a year on any given investment. It is typically expressed as a percentage rate and is calculated by multiplying the interest rate by the principal amount of the investment and then dividing that amount by the number of days in the year.

For example, if an investor invests $1,000 in a savings account that pays a 3% annual interest rate, the investor would earn $30 in interest over the course of the year ($1,000 x 0.03 = $30).

Let P be the principal (initial deposit), r be the interest rate (2.5%), and t be the time (9 months).

P(1 + rt) = 1200(1 + (2.5%)(9/12))

1200(1 + 0.2125) = 1200(1.2125)

1200(1.2125) = 1445

Therefore, in 9 months, there will be $1,445 in the account.

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Answer:

400

Step-by-step explanation:

so you add it then u subtract the rest

Answer:

x=3.50

Step-by-step explanation:

6(x+7.50)=4(2x+9.50)

6x+45=8x+38

6x-8x=38-45

-2x = -7

x = -7/-2

x = 3.50

Okay, let's break this down step-by-step:

The original statement is: "All dogs have fleas."

This suggests the expression should represent "all" or "every" dogs having fleas.

So the correct options are:

a) The expression is Vx F(x), its negation is 3x-F(x), and the sentence is "There is a dog that does not have fleas."

c) The expression is 4x F(x), its negation is Wx-F(x), and the sentence is "There is no dog that does not have fleas."

Between these two, option c is more accurate:

c) The expression is 4x F(x), its negation is Wx-F(x), and the sentence is "There is no dog that does not have fleas."

4x means "every x", representing all dogs.

And Wx-F(x) is the negation, meaning "it is not the case that every x lacks F(x)", or "not every dog lacks fleas".

Which captures the meaning of "There is no dog that does not have fleas."

So the most accurate option is c.

Let me know if this helps explain the reasoning! I can provide more details if needed.

The most accurate option is b. The expression "All dogs have fleas" can be translated into the quantified expression Ex F(x), which means there exists at least one dog x that has fleas.

The negation of this statement would be Vx -F(x), which means there exists at least one dog x that does not have fleas. This statement can be translated into the sentence "There is a dog that has no fleas."

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Answer:

yeah I know you are literally perfect for you to be home

By using the expression to approximate the radius of a circle, we want to compare the radius of the two pools. We will find that the radius of the full-sized pool is 2 times larger than the radius of the kiddie pool.

The expression for the radius of a circle is:

R = √(A/3)

Where A is the area of said circle.

The circular kiddie swimming pool has an area of 28ft^2, we just replace that in the above expression to get:

R =  √(28 ft^2/3) = 3 ft

The full-sized pool has an area of 113 ft^2, then its radius is:

R' = √(113 ft^2/3) = 6 ft

To see how much greater is the radius of the full-sized pool than the radius of the kiddie pool, we just take the quotient:

R'/R = 6ft/3ft = 2

Meaning that the radius of the full-sized pool is 2 times larger than the radius of the kiddie pool.

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Answer:

- 1/2

Step-by-step explanation

Answer:x=-1/2

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Based on his weekly salary and commission, we can calculate that Mr. Randall sold goods worth $1,800.

In the formula given, sales is represented as s. To find the total sales, you can solve the equation:

300 + 0.07s = 426

0.07s = 426 - 300

s = 126 / 0.07

= $1,800

In conclusion, Mr. Randall sold $1,800 worth of goods.

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The point of inflection on the graph of y=1/3x3+5x2+24 has an x coordinate of -5.

A pair of images that show, using the separations between the two reference axes, where a point is located on a coordinate plane. commonly shown by the x- and y-values (x, y).

any of the various diagrams that are used to depict the location of a point in relation to another point, an object, space, or a line. Coordinates based on latitude and longitude

Coordinates, a pair of numbers (also known as Cartesian coordinates), or sometimes a letter and a number are used to identify a specific point on a grid, commonly referred to as a coordinate plane. The x (horizontal) and y (vertical) axes are the two axes of a coordinate plane, which is divided into four quadrants (vertical).

y = (1/3) x³ + 5x² + 24

y = x² + 10x

y = 2x + 10

which, at x = -5, equals 0,

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The needed temperature continues to decline at this pace in 2 hours -6°C, 5 hours -15°C, and half an hour -1.5°C.

A weather station on a mountaintop says that the temperature is now 0°C and has been dropping at a consistent pace of 3°C every hour.

We must discover,

What will the temperature be in 2 hours, 5 hours, and half an hour if it continues to plummet at current rate?

In response to the question,

A weather station on a mountaintop says that the temperature is now 0°C and has been dropping at a consistent pace of 3°C every hour.

The temperature drops by 3°C in one hour = 0 – 3 = -3°C

The temperature drops in two hours = (2)(-3°C) = -6°C

Temperature drop in 5 hours = (5)(-3°C) = -15°C

In half an hour, the temperature drops = (0.5)(-3°C) = -1.5°C.

As a result, the needed temperature continues to decline at this pace in 2 hours -6°C, 5 hours -15°C, and half an hour -1.5°C.

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The required temperature will drop further at this rate in 2 hours at -6 °C, 5 hours at -15 °C, and 30 minutes at -1.5 °C.

A weather station on a mountaintop says that the temperature is now 0 °C and has been dropping at a consistent pace of 3 °C every hour.

A weather station is a place equipped with tools for measuring atmospheric conditions, gathering data for weather forecasts, and researching the weather and environment.

The temperature drops by 3 °C in one hour = 0 – 3 = -3 °C. The temperature drops in two hours = (2)(-3 °C) = -6 °C

Temperature drop in 5 hours = (5)(-3 °C) = -15 °C

In half an hour, the temperature drops = (0.5)(-3 °C) = -1.5 °C.

Therefore,  the needed temperature continues to decline at this pace in 2 hours -6 °C, 5 hours -15 °C, and half an hour -1.5 °C.

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This is an example of a descriptive quantitative research study.

Descriptive quantitative research involves collecting and analyzing data to describe the characteristics of a population or phenomenon. In this case, the nurse administrator is gathering and analyzing data about the employees on the units they supervise, such as work shift, number of years employed, age, gender, educational preparation, certifications, work history, and professional accomplishments. Statistical techniques such as mean, median, and mode are used to analyze the data, allowing the nurse administrator to compare the characteristics of the employees across various dimensions. This type of research is used to develop an understanding of a given population or phenomenon, allowing for informed decision-making.

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Answer:

12

Step-by-step explanation:

f(-2)=3(-2)^2

f(-2)=3(4)

f(-2)=12

The ability to order items in a sequence, such as longest to shortest, is known as Seriation.

Seriation is a cognitive skill that involves arranging objects, events, or ideas in a particular order or sequence. It is a crucial aspect of cognitive development and is typically acquired during early childhood. Seriation is the ability to mentally order objects along a quantitative dimension, such as size, weight, or length.

Seriation involves comparing and ordering items based on specific criteria. For example, if given a group of objects of different lengths, a child who has developed seriation skills will be able to arrange the objects in order from shortest to longest. Similarly, if given a group of numbers, a child who has developed seriation skills will be able to arrange them in order from smallest to largest.

Seriation is an important cognitive skill that is used in various areas of life, including academic, professional, and personal domains. It allows individuals to organize information and ideas in a logical and meaningful way, which can facilitate more efficient processing and understanding of complex concepts.

Overall, seriation is a fundamental cognitive skill that plays a crucial role in various aspects of life, including problem-solving, decision-making, and organization. It is an essential skill that supports the development of higher-order thinking skills, such as analysis, evaluation, and synthesis.

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The steps in Mia's method were smaller than in Jenna's, which was an advantage.

The same result will be obtained by adding the products of multiplying the sum of two or more addends by a number as opposed to multiplying each addend separately by the number.

The direct algorithm process suggested in this paper is known as the direct calculation method (DCM), and it can deal with using confinement loss as an incremental step to simulate the effect of moving tunnel face excavation, calculating the stresses and displacements in each step, and drawing the results.

Jenna's technique:

\(\begin{aligned}&5(30+4) \\&=(5)(30)+(5)(4) \\&=150+20 \\&=170\end{aligned}\)

Mia's technique:

\(\begin{aligned}&5(30+4) \\&=(5)(34) \\&=170\end{aligned}\)

Both used the right approach, albeit in different ways.

One uses the distributive property, whereas the other uses direct calculation.

Consequently, Jenna and Mia came to the same conclusion.

However, Mia's approach has one advantage over Jenna's: it requires fewer steps.

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7. Rewriting the expression from the figures as 28° > (2x - 2)°

8. Solving the inequality of  28 > (2x - 2), where x < 15

9. Solving inequality for x: 2x - 2 > 0, where x > 1

10. The range of values for x are: 1 < x < 15 .

An angle is a figure in plane geοmetry that is created by twο rays οr lines that have a shared endpοint. The Latin term "angulus," which means "cοrner," is where the wοrd "angle" οriginates. The shared endpοint οf twο rays is knοwn as the vertex, and the twο rays are referred tο as sides οf an angle. It is nοt necessary fοr the angle tο be in Euclidean space if it lies in the plane. Angles are referred tο as dihedral angles if they are created by the intersectiοn οf twο planes in a place οther than Euclidean. The symbοl "∠" is used tο symbοlise angles. The Greek symbοl,,, etc. can be used tο represent the angle between the twο rays.

6. As angle will increase if the opposite side increase, Therefore, m∠UTV   > m∠WTV as their opposite sides are 5 > 4.

7. Rewriting the expression from the figures as 28° > (2x - 2)°

8. Solving the inequality of  28 > (2x - 2)

⇒ 28 > 2x - 2

⇒ 28 + 2> 2x

⇒ 30 > 2x

⇒ 30/2 > x

⇒ x < 15

9. Any angle in a triangle must have a measure greater than 0°

Solving inequality for x: 2x - 2 > 0

2x - 2 > 0

2x > 2

x > 2/2

x > 1

10. The range of values for x are: 1 < x < 15 .

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The amount of yellow paint Curt and Melanie should use is 0.45 quarts so that they can make 1.5 quarts bucket of seafoam green paint.We can use per cent equation.

Given that to make 1.5 quarts bucket of seafoam green paint Curt and Melanie have to mix 70 parts blue paint and 30 parts yellow paint.If 100 percent represent total paint then for 1.5 quarts we have to find the proportion of yellow paint.Let it be x.

30%  / 100% =30 / 100 = x / 1.5 quarts.

We can reduce the equation further,

0.3  = x / 1.5.

0.3 * 1.5 = x

x = 0.45

We can also find blue paint proportion similar by substituting 30 per cent to 70 per cent.

As a result of our calculation, we found the amount of yellow paint to be 0.45 quarts.

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The function that can be used to find total Blake would charge if he delivered the food will be 3 + 0.25m.

From the information given, we are told that Blake delivers food for Uber eats and charges customers a $3 delivery fee plus $0.25 per mile.

Therefore, in order to deliver the food to m miles away, the amount that'll be charged will be:

= 3 + (0.25 × m)

= 3 + 0.25m

In conclusion, the function is 3 + 0.25m.

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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: To find the value of (f^-1)'(x) when x=3, we need to use the formula for the derivative of the inverse function:

(f^-1)'(x) = 1 / f'(f^-1(x))

Here, f(x) = (1/4)x^3 + x - 1. To find f'(x), we need to take the derivative of f(x) with respect to x:

f'(x) = (3/4)x^2 + 1

Now, we need to find f^-1(x) by solving for x in terms of y:

y = (1/4)x^3 + x - 1

y + 1 = (1/4)x^3 + x

4(y + 1) = x^3 + 4x

x^3 + 4x - 4(y + 1) = 0

We can solve this equation for x using a numerical method such as Newton's method or by using a graphing calculator. After solving, we find that:

f^-1(x) = g(x) = cube root of (x - 3) + 1

Now, we can find (f^-1)'(x) when x = 3:

(f^-1)'(3) = 1 / f'(f^-1(3))

= 1 / f'(g(3))

= 1 / [(3/4)g(3)^2 + 1]

= 1 / [(3/4)(-1)^2 + 1]

= 1 / (3/4 + 1)

= 4/7

Therefore, the value of (f^-1)'(x) when x = 3 is 4/7.

Step-by-step explanation:

After the wind blew away 15 pages of the homework, there are 295 pages remaining in the assignment.

To calculate the number of remaining pages, we subtract the number of pages blown away from the total number of pages in the assignment. In this case, the total number of pages was 310, and 15 pages were blown away. Therefore, we can find the remaining pages by subtracting 15 from 310, resulting in 295 pages remaining.

This subtraction represents the loss of the blown-away pages, leaving us with the number of pages that were not affected by the wind. Hence, after losing 15 pages, the student still has 295 pages of their homework intact.

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The interest rate your friend is charging you for the $20,000 loan is 20% per year.

The simple interest is expressed as;

A = P( 1 + rt )

Where A is accrued amount, P is principal, r is the interest rate and t is time.

Given that;

The Principal P = $20,000

Accrued amount A = $40,000

Elapsed time t = 5 years

Interest rate r =?

Plug these values into the above formula and solve for the interest rate r:

\(A = P( 1 + rt )\\\\r = \frac{1}{t}( \frac{A}{P} -1 ) \\\\r = \frac{1}{5}( \frac{40000}{20000} -1 ) \\\\r = \frac{1}{5}( 2 -1 ) \\\\r = \frac{1}{5}\\\\r = 0.2 \\\\\)

Converting r decimal to R a percentage

Rate R = 0.2 × 100%

Rate r = 20% per year

Therefore, the interest rate is 20% per year.

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Answer:

Zadanie 5.

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czerwoną linią granice

państwa, w którym doszło

do pierwszych wystąpień

podczas Wiosny Ludów.he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he heUsuwanie skopiowanego tekstu po 6 godzinachPrzypnij skopiowane fragmenty tekstu, aby zapobiec ich usunięciu w ciągu 6 godz.Read the task below and write the email. Your

email should be 50 to 120 words, not including

the words provided a

Imagine you've got a new British friend called

Joshua. Write an email to him. In your email:

• introduce yourself (age town, class at school)

describe your room or your favourite things

• describe your family and your best friend or

group of friends

000

To: Joshua

Subject: All about me!

Hi Joshua,

I'm writing to tell you all about me. My name's ...Skopiowany tekst będzie automatycznie wyświetlany tutajPrzesuń wycinki, aby je usunąć ten komentarz do artykułu o tym nie ma problemu z tym że nie ma problemu z tym że nie ma problemu z tym że nie ma problemu z tym że nie ma problemu z tym że nie ma problemu z tym że nie ma problemu z tym że nie ma problemu z tym że nie ma problemu z tym że nie ma problemu z tym że nie ma problemu z tym że nie ma problemu z tym że nie ma problemu z tym że nie ZhhhsjkihygygvbaoiusbhusbhbjiytsbjoskiusbvftsS。肖伊。ffsbjajuyscysvusbsiabs

The derivative of the function at P0 in the direction of A is,

(\(\frac{df}{dx}\))\(p_{0}\) = -3 , (\(\frac{df}{dy}\))\(p_{0}\) = -1 , (\(\frac{df}{dz}\))\(p_{0}\) = 0

Geometrically, the derivative of a function can be interpreted as the slope of the graph of the function or, more precisely, as the slope of the tangent line at a point. Its calculation, in fact, derives from the slope formula for a straight line, except that a limiting process must be used for curves.

Given that,

The derivative of the function at P0 in the direction of A.

f(x, y, z) =

f(x, y, z) = (1,-1,-2)

x = 1

y = -1

z = -2

Derivative of f(x, y, z) = xy + yz + zx

\(\frac{df}{dx}\) = y + z

\(\frac{df}{dy}\) = x + z

\(\frac{df}{dz}\) = x + y

We can substitute f(x, y, z) = (1,-1,-2) values,

(\(\frac{df}{dx}\))\(p_{0}\) = y + z

(\(\frac{df}{dx}\))\(p_{0}\) = -1 + (-2)

(\(\frac{df}{dx}\))\(p_{0}\) = -3

(\(\frac{df}{dy}\))\(p_{0}\) = x + z

(\(\frac{df}{dy}\))\(p_{0}\) = 1 + (-2)

(\(\frac{df}{dy}\))\(p_{0}\) = 1-2

(\(\frac{df}{dy}\))\(p_{0}\) = -1

(\(\frac{df}{dz}\))\(p_{0}\) = x + y

(\(\frac{df}{dz}\))\(p_{0}\) = 1 + (-1)

(\(\frac{df}{dz}\))\(p_{0}\) = 1-1

(\(\frac{df}{dz}\))\(p_{0}\) = 0

Therefore,

The derivative of the function at P0 in the direction of A is,

(\(\frac{df}{dx}\))\(p_{0}\) = -3 , (\(\frac{df}{dy}\))\(p_{0}\) = -1 , (\(\frac{df}{dz}\))\(p_{0}\) = 0

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