Find the closing cost, to the nearest cent: house value of $89,548, two points, attorney's fees $324, title fees $105.

a 4,439. 92

b 2,219. 96

c 2,114. 96

d 1324. 48

Answer:

Does she get paid once every week?

Step-by-step explanation:

a= 4

b= - 42

How the given expression is solved ?

\(2-\frac{x+2}{x-3} -\frac{x-6}{x+3} \\\\=\frac{2(x^{2} -9)-[(x+2)(x+3)]-[(x-6)(x-3)]}{x^{2} -9} \\\\=\frac{2x^{2} -18-x^{2} -5x-6-x^{2} +3x+6x-18}{x^{2} -9} \\\\=\frac{4x-42}{x^{2} -9}\\\\\text{This is of the form}, \frac{ax+b}{x^{2} -9}\)

Thus, the value of integers a and b are :

a = 4 ; b =- 42

What are integers?

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Answer:

10.336.

Step-by-step explanation:

There are 12 inches in 1 foot so 51.68 ft/hr

= 51.68 * 12 in/hr.

Now there are 60 minutes in an hour so the speed in inches/minute

= 51.68 * 12 / 60

= 10.336.

The distance between two points:

\( \large \boxed{ \sqrt{(x_2 - x_1)^{2} + {(y_2 - y_1)}^{2} } }\)

From the graph, the given points are (-3,1) and (5,-4). Substitute the points in as we get:

\( \large{d = \sqrt{ {( - 3 - 5)}^{2} + {(1 + 4)}^{2} } } \\ \large{d = \sqrt{ { (- 8)}^{2} + {5}^{2} } } \\ \large{d = \sqrt{64 + 25} \longrightarrow \sqrt{89} } \)

Hence the distance between two points is √89.

Answer

Answer:

Apothem:

radius is the same length as the base/length of each side of the hexagon.

r = 8

use pythagorean theorem to calculate the apothem

\(4^2+a^2=8^2\\\\16+a^2=64\\\\a^2=48\\\\a= 6.928\)

≈ 6.9

Area

\(A = \frac{3\sqrt{3} }{2} *a^2\\\\=\frac{3\sqrt{3} }{2}(6.928)^2\\\\=124.7\)

Answer:

32

Step-by-step explanation:

hope this helps :)

Answer:

Inequality Form:

x > 11

Interval Notation:

(11,∞ )

To change from rectangular to cylindrical coordinates, we use the following formulas: r = √(x²+ y²) and theta = arctan(y/x). For part (a), the coordinates are (-8, 8, 8). Using the formulas, we get r = √((-8)² + 8²) = 8√(2) and theta = arctan(8/-8) + pi = -3pi/4. Therefore, the cylindrical coordinates are (8√(2), -3π/4, 8). For part (b), the coordinates are (-4, 4√(3), 9). Using the formulas, we get r = √((-4)²+ (4sqrt(3))²) = 8 and theta = arctan(4√(3)/-4) + π = -π/3. Therefore, the cylindrical coordinates are (8, -π/3, 9).

Rectangular coordinates are used to represent a point in three-dimensional space as an ordered triplet (x,y,z). However, cylindrical coordinates are an alternative way to represent this point using the distance r from the origin to the point in the xy-plane, the angle theta between the positive x-axis and the projection of the point onto the xy-plane, and the height z of the point above the xy-plane. The formulas for converting between rectangular and cylindrical coordinates involve using trigonometric functions.

Changing from rectangular to cylindrical coordinates involves using the formulas r = √(x²+ y²) and theta = arctan(y/x) to find the distance from the origin to the point in the xy-plane and the angle between the positive x-axis and the projection of the point onto the xy-plane, respectively. The height of the point above the xy-plane remains the same.

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Song= sngo, sogn, gnso, gosn, gnos, snog, 6 ways ?

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

Explanation:

We have four blank slots to fill. Call them slot A,B,C,D. There are 4 letters to pick from when filling slot A. After that selection is made, there are 3 letters left for slot B. This process keeps going til you count down to 1.

Multiplying those values out gives 4*3*2*1 = 24

-----------

Extra info:

This concept is given factorial notation of an exclamation mark, so you'd write 4! = 4*3*2*1 = 24 or simply 4! = 24.

Another example of factorial notation is 7! = 7*6*5*4*3*2*1. We start with 7 and count our way down til we get to 1, multiplying all along the way.

You could also use the nPr permutation formula \(_nP_r = \frac{n!}{(n-r)!}\) though that isn't necessary in my opinion since it involves factorials which we already used above. If you use the permutation formula, then you would have n = 4 and r = 4. The n refers to the number of items you are arranging and r = 4 is the number of slots you are filling.

It turns out that \(_nP_r = \frac{n!}{(n-r)!} = n!\) when r = n.

You can think of it in a smaller chunk. If we fix S to be the first letter, then we have O,N,G to rearrange. There are 6 ways to do this as shown

Basically showing that 3! = 6. We have 4 different ways to have the first letter be selected, so we have 4*6 = 24 permutations of SONG.

The electric field is given by the gradient of the potential function, V, which is:∇V=⟨∂V/∂x,∂V/∂y,∂V/∂z⟩=⟨2x+y^2,2xy,2yz⟩Hence,

the electric field in this region at the coordinate \((-7,3,7) is:∇V(−7,3,7)=⟨2(−7)+3^2,2(−7)(3),2(3)(7)⟩=⟨−8,−42,42⟩\)Therefore, the components of the field vector are -8, -42, and 42.

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Answer: No solution

Step-by-step explanation:

6x + 12 = 2(3x + 6)

Expand the right side:

6x + 12 = 6x + 6

Subtract 6x from both sides:

12 = 6

This is obviously not true, so there are no solutions to this equation :>

mui

Step-by-step explanation:

In-depth interviews are a quantitative research method that uses a relatively small group of people for testing and is most helpful in obtaining data representative of the whole population. The correct option to this question is A.

Although you can use all of these techniques in your comprehensive customer experience management strategy, in-depth interviews can help you gather the information that can give you rich insights into the experiences and preferences of a large sample of your target audience.

An extensive amount of data can be gathered on the behavior, attitude, and perspective of the interviewers through in-depth interviews, a qualitative data collection technique.

Researchers and subjects are free to explore additional topics and alter the course of the interview when necessary during in-depth interviews. It is an independent research methodology that can use a variety of approaches depending on the needs of the study.

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In the first test neither Anor B scored higher,the second t-test indicates that Group A scored significantly higher, while the third t-test suggests that Group B scored significantly higher.

In the given t-test results, the group that scored significantly higher can be identified based on the p-value and the direction of the t-statistic.

First t-test (t(99) = 12.45; p = .073):

Since the p-value is greater than the conventional significance level of 0.05, we fail to reject the null hypothesis. Therefore, we cannot conclude that there is a significant difference between the two groups (Group A and Group B). The answer is c) Neither group A nor B scored significantly higher.

Second t-test (t(99) = 24.15; p = .012):

In this case, the p-value is less than the conventional significance level of 0.05. Therefore, we reject the null hypothesis and conclude that there is a significant difference between the two groups. Since the t-statistic is positive, it suggests that Group A scored significantly higher than Group B. The answer is a) Group A scored significantly higher.

Third t-test (t(99) = -27.45; p = .007):

Similar to the second t-test, the p-value is less than 0.05. Thus, we reject the null hypothesis and find a significant difference between the two groups. However, this time the t-statistic is negative, indicating that Group B scored significantly higher than Group A. The answer is b) Group B scored significantly higher.

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The value of x is 4, AB is 3 and BC is 24 for the given line segment.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given the line, AC consists of AB and BC

So,

AC = AB + BC

Now,

AC = 27 , BC = 6x and AB = 2x - 5

So,

27 = 6x + 2x - 5

27 = 8x - 5

8x = 32

x = 4

Now,

AB = 2(4)- 5 = 3

And

BC = 6(4) = 24

Hence "The value of x is 4, AB is 3 and BC is 24 for the given line segment".

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The two transformations applied to pentagon ABCDE to create A'B'C'D'E' are translation and reflection over the x-axis.

Based on the given information, the two transformations applied to pentagon ABCDE to create A'B'C'D'E' are as follows:

Translation: The pentagon has been translated 5 units to the right and 2 units down.

Reflection: The pentagon has been reflected over the line of symmetry located at the x-axis.

These transformations are responsible for the changes in the positions of the vertices of the pentagon, resulting in the new configuration A'B'C'D'E'.

Please note that the given diagram and information lack specific details, so the answer is based on the assumptions made from the limited provided information.

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Step-by-step explanation:

Pythagoras formula for the relation of the side lengths in a right-angled triangle :

c² = a² + b²

c is the Hypotenuse, the side opposite of the 90 degree angle.

a and b are the "legs".

3.

c² = 10² + 21² = 100 + 441 = 541

c = sqrt(541) = 23.2594066...in

so, none of the provided answers. are you sure you put the right numbers ? maybe the second leg is sqrt(21) instead of 21 ? because then it would be

c² = 10² + sqrt(21)² = 100 + 21 = 121

c = 11in

4.

10² = a² + 6²

100 = a² + 36

64 = a²

a = 8 m

5.

again, there must be something wrong. the height of the triangle cannot be longer than the legs of the triangle.

given the answer options of 5 - 9 cm it cannot be 32cm. maybe you mean 3.2 cm ?

also interesting that it says "attitudes" - plural. what do you mean by that ?

because there is something else missing. like how long are the segments of the Hypotenuse where the height (or altitude) is touching the Hypotenuse ?

with just the Hypotenuse length and the height length we cannot calculate the other parts of the triangle, because we can move the height freely along the Hypotenuse and draw fitting right-angled triangles on that "skeleton".

6.

similar triangles. that means the lengths of corresponding lines (like sides or heights) are all in relation with the same scaling factor.

so, the small triangle has its "height" side of 1 ft, and multiplying with the scaling factor would then give us the height of the flag pole.

what is the scaling factor ? we get that from the pair of corresponding sides we already know : the shadows.

going from the small to the large triangle we have to transform 4ft into 60ft.

what do I have to multiply 4 with to get 60 ?

4 × x = 60

x = 60/4 = 15

so, the flag pole is

15×1 = 15ft tall.

Answer:

\( \implies \boxed{\rm t = \frac{ - 5}{8} }\)

Step-by-step explanation:

8t-15=32t

Group the terms then subtract:

=>8t-32t=15

=>-24t=15

Divide both sides by -24:

\( \implies \rm \cfrac{ - 24t}{ - 24} = \cfrac{15}{ - 24} \)

\( \rm \implies \: t = \cfrac{ - 5}{8} \)

Answer:

2 ( Option A )

Step-by-step explanation:

The given integral to us is ,

\(\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx \)

Here 5 is a constant so it can come out . So that,

\(\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx \)

Now we can write √x as ,

\(\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx \)

Simplify ,

\(\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx \)

By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,

\(\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) \)

On simplifying we will get ,

\(\longrightarrow \underline{\underline{ I = 2 }}\)

Answer:

A)2

Step-by-step explanation:

we would like to integrate the following definite Integral:

\( \displaystyle \int_{0} ^{1} 5x \sqrt{x} dx\)

use constant integration rule which yields:

\( \displaystyle 5\int_{0} ^{1} x \sqrt{x} dx\)

notice that we can rewrite √x using Law of exponent therefore we obtain:

\( \displaystyle 5\int_{0} ^{1} x \cdot {x}^{1/2} dx\)

once again use law of exponent which yields:

\( \displaystyle 5\int_{0} ^{1} {x}^{ \frac{3}{2} } dx\)

use exponent integration rule which yields;

\( \displaystyle 5 \left( \frac{{x}^{ \frac{3}{2} + 1 } }{ \frac{3}{2} + 1} \right) \bigg| _{0} ^{1} \)

simplify which yields:

\( \displaystyle 2 {x}^{2} \sqrt{x} \bigg| _{0} ^{1} \)

recall fundamental theorem:

\( \displaystyle 2 ( {1}^{2}) (\sqrt{1} ) - 2( {0}^{2} )( \sqrt{0)} \)

simplify:

\( \displaystyle 2 \)

hence

our answer is A

Answer:

1016.50

Step-by-step explanation:

$21.40 per hour at her job for the first 40

21.40 * 40 =856

She has 5 hours over 40  (45-40 =4)

That means 5 hours at 32.10

5 * $32.10 =160.5

Add the two amounts together

856+160.5

1016.50

Answer:

(5, 4 )

Step-by-step explanation:

under a counter- clockwise about the origin of 180°

a point (x, y ) → (- x, - y ) , then

(- 5, - 4 ) → (- (- 5), - (- 4) ) → (5, 4 )

\((\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{10}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{10}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{4}}}\implies \cfrac{9}{3}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{3}(x-\stackrel{x_1}{4}) \\\\\\ y-1=3x-12\implies y=3x-11\)

The probability of choosing the slot that the ball will fall into on a roulette wheel with 37 slots depends on the type of bet being made. If a player bets on a single number, the probability of winning is 1/37 or approximately 0.027 (rounded to 2 decimal places). This is because there is only one winning number out of 37 total slots on the wheel.

However, if a player bets on a group of numbers (such as a color or odd/even), the probability of winning increases. For example, if a player bets on red, there are 18 red slots out of 37 total slots, so the probability of winning is 18/37 or approximately 0.486 (rounded to 2 decimal places).

It is important to note that the probability of winning on a roulette wheel is always less than 1, meaning that there is always some risk involved in playing. Additionally, the odds of winning and the payouts for different types of bets can vary depending on the specific rules of the game. In summary, the probability of choosing the slot that the ball will fall into on a roulette wheel with 37 slots ranges from approximately 0.027 to 0.486, depending on the type of bet being made.

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When a parallelogram is reflected in an axis, the resulting image is also a parallelogram, with the same area and opposite angles.

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That's a Congruent Triangle question.

The first thing that we should to analize is it: What figure is EFGH? The question say for us that \(\overline{EF} \cong \overline{GH}\) and \(\overline{EH} \cong \overline{GF}\), therefore, EFGH is a parallelogram because its parallel sides are congruents (equals).

Now, we should to proof that \(\triangle EFH \cong \triangle GHF\). The simbol "≅" means congruence, that is, \(\triangle EFH \cong \triangle GHF\) means that the triangles EFH and GHF are equals.

Let's proof:

\(\overline{HF}\) is a diagonal of the parallelogram EFGH. When we have a diagonal in a parallelogram, the opposite angles are congruents (look at the picture: the blue angles are congruent and the red angles are congruents too). Therefore, \(E\hat{F}H \cong F\hat{H}G\) and \(E\hat{H}F \cong H\hat{F}G\).

Both triangle has a comum side: the diagonal \(\overline{HF}\). The diagonal \(\overline{HF}\) is between two angles that we know that are congruents, Therefore, by the case ASA (Angle, Side, Angle), we proof that \(\triangle EFH \cong \triangle GHF\).

Diffusion and active transport are two ways that substances pass through a cell membrane out of the cell and is denoted as option B.

This is referred to as the process in which molecules move from a region of higher concentration to that of a lower concentration. On the other hand, active transport is the movement of molecules from a region of lower concentration to a region of higher concentration against a gradient through an external energy.

They are both involved in the movement of substances in and out of the cell through the cell membrane thereby making it the correct option.

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Answer:

30th term: 364

nth term: 8(n + 3)

Step-by-step explanation:

Well the 30th term is 8(30 + 3) because you gotta plug it in.

You get 8 * 33 = 264

nth term is what they gave you. 8(n + 3)

Answer:

30th term: 364

nth term: 8(n + 3)

Step-by-step explanation:

Well the 30th term is 8(30 + 3) because you gotta plug it in.

You get 8 * 33 = 264

nth term is what they gave you. 8(n + 3)

Answer:I think it 20 adult to 50 kids

Step-by-step explanation: