mrs. gordon bought a stove which cost $850. no down payment was required. mrs. gordon has to pay $160 for the next six months. what is the average amount she pays in interest each month?

As we know that

Area of triangle = ½ × Base × Height

Area of rhombus = ½ × D1 × D2

\(\begin{gathered} \\ \end{gathered}\)

Answer:

​σ = 2 (option a)

Step-by-step explanation:

You would want the smallest standard deviation possible.

Think of it like this: if everyone, other than you, got only 50, 51, 52, 53 then you would be the ultimate highest position in the class.

As opposed to being an average position if the scores were about                      49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60 ---your score would not put you in the highest position in the class distribution.

So, a standard deviation of ​σ = 2 would give you the highest position in the class distribution.

The value of 10^3 in standard form is 1000

Give the exponential form 10^3

This means the product of 10 in 3 places. Mathematically;

10^3 = 10 * 10  10 * 10

10^3 = 100 * 10

10^3 = 1000

Hence the value of 10^3 in standard form is 1000

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Ratio of blue marbles to green marbles

= 8:5

= 8×5:5×5

= 40:25

So, if there are 25 green marbles then there are 40 blue marbles.

Answer: Its -12

Step-by-step explanation:

In Algebra, a constant is a number on its own.

Answer:

50%

Step-by-step explanation:

there are 8 students and 4 are shorter than 65 inches.

So 4 divided by 8 = 0.5 or 50%

The domain of the function f(x) that has a range of [-2, ∞) is [-2, ∞)

The inverse of a function that maps x into y, maps y into x.

The given coordinates of the points on the radical function, f(x) are; (-3, -2), (1, 0), (6, 1)

To determine the domain of

\( {f}^{ - 1}( x)\)

The graph of the inverse of a function is given by the reflection of the graph of the function across the line y = x

The reflection of the point (x, y) across the line y = x, gives the point (y, x)

The points on the graph of the inverse of the function, f(x), \( {f}^{ - 1} (x)\) are therefore;

\(( - 3, \: - 2) \: \underrightarrow{R_{(y=x)}} \: ( - 2, \: - 3)\)

\(( 1, \: 0) \: \underrightarrow{R_{(y=x)}} \: ( 0, \: 1)\)

( 6, \: 1) \: \underrightarrow{R_{(y=x)}} \: ( 1, \: 6)

The coordinates of the points on the graph of the inverse of the function, f(x) are; (-2, -3), (1, 0), (1, 6)

Given that the coordinate of point (x, y) on the image of the inverse function is (y, x), and that the graph of the function, f(x) starts at the point (-3, -2) and is increasing to infinity, (∞, ∞), such that the range of y–values is [-2, ∞) the inverse function, \( {f}^{ - 1}( x)\), which starts at the point (-2, -3) continues to infinity, has a domain that is the same as the range of f(x), which gives;

The domain of the inverse of the function, \( {f}^{ - 1}( x)\), using interval notation is; [-2, ∞)

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Answer:

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached.

From the diagram, it can be seen that point U is the midpoint of T and V. This means that TU = UV

Given TU=8x+11 and UV=12x−1

8x+11 = 12x -1

8x-12x = -1-11

-4x = -12

x = 3

Since TU = 8x+11

TU = 8(3)+11

TU = 24+11

TU = 35

Also UV = 12x-1

UV = 12(3)-1

UV = 36- 1

UV = 35

TV = TU+UV

TV = 35+35

TV = 70

Answer:

I just explained the verticle line test

Step-by-step explanation:

the verticle line test is if you draw a line at x=(insert x-value in question) and it hits more than two points from that equation then that does not pass the verticle line test. In the picture I attached, the green funtion(circle) does not pass the verticle line test because it hits x=1(black line) in more than one place while the red function(exponential function) passes the verticle line test because it hits x=1 at only one point.

EXPLANATION

The given function is defined by

the slope of a tangent line, the instantaneous rate of change of a function

Thus, we will have

Therefore, the slope will be 6

We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

The test statistic needed to test the claim that whether a subject lies or does not lie is independent of the polygraph test indication is the chi-square statistic.

In this case, the grand total is 90. The row totals are 57 and 33, and the column totals are 42 and 48. The expected frequencies are as follows:

The chi-square statistic is calculated as 0.177. The p-value for the chi-square statistic is calculated using a chi-square table. The degrees of freedom for the chi-square table are the number of rows minus 1, multiplied by the number of columns minus 1.

Since the p-value is greater than 0.05, we fail to reject the null hypothesis. We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

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Answer:

Area =  l × w

=  2 × 0.875

=  1 3/4 yd^2 or 1.75 yd^2

hope i helped

Step-by-step explanation:

The relationship in the figure is a function because each input has only one output to which they are linked

A function is a definition or rule that maps each element in a set of input values to exactly one element in a set output values.

The data in the sets can be presented as follows;

x  \({}\)               f(x)

-1 \({}\)      →         2

0\({}\)        →        2

1\({}\)         →        -3

2\({}\)         →       -2

8\({}\)         →        3

The above table indicates that each x-value has only one f(x) value, which indicates that the relationship s a function. The relationship is still a function with the presence of an f(x) value, 2, having two x values, -1 and 0, as the condition satisfies the definition of a function.

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Answer:

The Taylor series is   \($$\sum_{n=0}^{\infty} [\frac{(-1)^n}{(2n +1)!} (x)^{2n+1}]\)

Step-by-step explanation:

From the question we are told that

      The function is  \(f(x) = sin (x)\)

This is centered at  

       \(a = 2 \pi\)

Now the next step is to represent the function sin (x) in it Maclaurin series form which is  

          \(sin (x) = \frac{x^3}{3! } + \frac{x^5}{5!} - \frac{x^7}{7 !} +***\)

=>       \(sin (x) = $$\sum_{n=0}^{\infty} [\frac{(-1)^n}{(2n +1)!} (x)^{2n+1}]\)

   Now since the function is centered at  \(a = 2 \pi\)

We have that

           \(sin (x - 2 \pi ) = (x-2 \pi ) - \frac{(x - 2 \pi)^3 }{3 \ !} + \frac{(x - 2 \pi)^5 }{5 \ !} - \frac{(x - 2 \pi)^7 }{7 \ !} + ***\)

This above equation is generated because the function is not centered at the origin but at \(a = 2 \pi\)

           \(sin (x-2 \pi ) = $$\sum_{n=0}^{\infty} [\frac{(-1)^n}{(2n +1)!} (x - 2 \pi)^{2n+1}]\)

Now due to the fact that \(sin (x- 2 \pi) = sin (x)\)

This because  \(2 \pi\) is a constant

   Then it implies that the Taylor series of the function centered at \(a = 2 \pi\) is

             \($$\sum_{n=0}^{\infty} [\frac{(-1)^n}{(2n +1)!} (x)^{2n+1}]\)

The value of constant of proportionality that relates gallons to quarts is 0.25 .

As we all know that one gallon have four quartz.

The proportional relation is written as y = kx.

We know that y varies proportionately with x.

Substitute within the such that x = four and y = one values ​​and solve for k.

1 = k(4)

k =1 /4 = 0.25

Therefore the constant of proportionality is 0.25

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The proof that arc AB = arc CD is shown below

Given a circle with center O and chords AB and CD,

Such that AB = CD.

Considering a point P on arc AB and a point Q on arc CD

Such that AP = BP and CQ = DQ

Since OP = OQ and P and Q are on arcs AB and CD respectively,

It follows that angle POQ is equal to half the central angle of the circle that subtends the same arc as chord AB.

Similarly, arc AB is equal to the central angle of the circle that subtends arc CD.

Therefore:

POQ i= 1/2 * central angle of the circle and

Arc CD subtends twice the central angle as POQ.

Since the central angles subtended by arc AB and arc CD are equal, it follows that the arcs themselves are equal, i.e., AB = CD.

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Answer:

I hope this helps!

Step-by-step explanation:

Please mark brainiest

Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Answer:

400

Step-by-step explanation:

The expectation values are <x> = 1.25 x 10⁻¹⁰ ,  <x²>  =  2.07 x 10⁻²⁰

What is average?

The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.

We need to find expectation value of <x> and < x²>

average value for <x>   is given by a/2   where a = length of box

hence <x> = ( (2.5 x 10⁻¹⁰) /2) = 1.25 x 10⁻¹⁰

hence <x²> = (1.25 x 10⁻¹⁰)²  = 1.56 x 10⁻²⁰

<x²> = ( a/2 x 3.14 x n)²   x ( 4 x 3.14² x n² /3  -2)

hence <x²>  = ( 2.5 x 10⁻¹⁰ / 2 x 3.14 x 5)²   x ( 4 x 3.14² x 5² /3  -2)

  <x²>  =  2.07 x 10⁻²⁰

<x²>  is not equal to <x>²

The expectation values are <x> = 1.25 x 10⁻¹⁰,  <x²>  =  2.07 x 10⁻²⁰

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Based on the information given, the equation that represents the tangent function will be D. j(x) = tan(x/2 - π).

Based on the information given, we are informed that we should get the equation that represents a tangent function with a domain of all real numbers such that x is not equal to pi over 2 plus pi times n comma where n is an integer.

Based on the information given, the undefined function will be when the input values equal x = π/2 + nπ. Therefore, from the options given, the equation that represents this will be j(x) = tan(x/2 - π).

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Answer: g(x)=tan(x-π)

Step-by-step explanation:

Write each expression in expanded form.

(a)

(b)

(c)

Rewriting in exponential form

(a)

(b)

(c)

Answer:

Option A

Step-by-step explanation:

If we try the options, y will be 4

option A

The greatest common factor of -x^2 + 6x - 19 is 1.

To find the greatest common factor (GCF) of the polynomial \(-x^2 + 6x - 19,\) we need to factorize the polynomial and identify the common factors among its terms.

First, let's examine the polynomial and see if we can factor it further:

\(-x^2 + 6x - 19\)

The polynomial does not appear to have any common factors among its terms.

It cannot be factored using simple integer factors.

In this case, we can say that the GCF of the given polynomial is 1.

It is important to note that the GCF represents the highest degree of common factors that can be factored out from all terms of a polynomial. In this particular case, the polynomial does not possess any common factors that can be factored out.

It's worth mentioning that this polynomial is already in its simplest form and cannot be factored further.

However, if the polynomial had common factors that could be factored out, such as common binomial factors or other mathematical patterns, the GCF would differ from 1.

But in this case, the polynomial does not exhibit any common factors beyond 1.

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Answer:

Philip got $300 from his relatives, he puts 65% of the money he got into the bank. How much money did Philip put in the bank? $195