Consider the following time series data. time value 7.6 6.2 5.4 5.4 10 7.6 Calculate the trailing moving average of span 5 for time periods 5 through 10. t-5: t=6: t=7: t=8: t=9: t=10:

Answer:

  [tex]A. \;\;b \;is \;greater[/tex]

  [tex]B.\;\;a = 1, b = -4[/tex]

  [tex]C.\;\;a = 6, c = 20[/tex]

Step-by-step explanation:

Part A

We have the relationship

[tex]b = 6a - 10[/tex]

When [tex]a[/tex] is [tex]-2[/tex], the value of [tex]b[/tex] is

[tex]b = 6(-2) -10 = -12 -10 = -22[/tex]

The corresponding value of [tex]c[/tex] for [tex]a = - 2[/tex] is -[tex]21[/tex]

[tex]-21[/tex] is greater than [tex]-22[/tex] so answer is :  [tex]b[/tex]  is greater

Part B

When [tex]c[/tex] is [tex]6[/tex], we see that the value of [tex]a[/tex] from the table is [tex]1[/tex]

The corresponding value of b is:

[tex]b = 6(1) - 10 = 6 - 10 = -4[/tex]

Part C

When [tex]b = 26[/tex], plugging this into the equation[tex]b = 6a - 10[/tex] we get

[tex]26 = 6a - 10\\\\26 + 10 = 6a\\\\36 = 6a\\\\[/tex]

or

[tex]6a = 36[/tex] giving [tex]a = 36/6 = 6[/tex]

For [tex]a = 6[/tex], from the table we see that the corresponding value of [tex]c = 20[/tex](ANS)

The number of miles driven by Taub in a week is 3 times the number of miles driven by Valeria in a week.

Number of miles driven by each person in a week:

Valeria = 7

Taub = 21

Ruby = 35

Number of miles driven by Taub : Number of miles driven by Valeria

= 21 : 7

= 21/7

= 3/1

= 3 : 1

Therefore, the number of miles driven by Taub : number of miles driven by Valeria in a week is 3 : 1 in it's simplest form.

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To find the midpoint between any two points in a plane using only their coordinates, you can use the midpoint formula. The midpoint formula is:

(x,y) = ((x1 + x2) / 2, (y1 + y2) / 2)

Where (x1, y1) and (x2, y2) are the coordinates of the two points, and (x,y) are the coordinates of the midpoint.

For example, if we have two points (-2,8) and (4,10)

(x,y) = ((-2 + 4) / 2, (8 + 10) / 2)

(x,y) = (1,9)

The midpoint of the given points (-2,8) and (4,10) is (1,9).

It's worth noting that this formula can be adapted for three-dimensional points, where the midpoint formula would be

((x1 + x2)/2, (y1 + y2)/2, (z1 + z2)/2)

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Answer:

You could compare the ounces or weight, the price per unit, or overall quality.

Step-by-step explanation:

You could use the ounce/weight to check which weighs more, or has more in it. Then figure out which is more reasonable. You could use the price per unit, and the ounce/weight because the price per unit/ price per ounce could be more expensive, or less expensive and make more sense to buy. Or you could just use overall quality. You can have an item with more in it, but have lower quality contents, when you could have a smaller amount with better quality contents, which might cost a little more.\

-Hope this helped

Answer: $2.05

[tex]$20.50/10=2.05[/tex]

The remainder theorem states that the value of f(a) is equal to the remainder for any polynomial f(x) when divided by the binomial xa. The factor theorem states that (xa) is a factor of f(x) and vice versa if an is a zero of a polynomial f(x).

A special example of the polynomial remainder theorem is the Factor theorem. So, according to the factor theorem, a polynomial has a factor if and only if: If and only if f (M) = 0, the polynomial x-M is a factor of the polynomial f(x). According to the Remainder Theorem, the remainder will be if a polynomial (x) is divided by a linear binomial of the kind (x - a) (a).

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With the help of the given equation, we know that the required slope is (A) 3/8.

In math, the gradient of a line is a number that tells you how steep it is and in which direction it goes in.

The point-slope form is a way of writing equations (y-y₁=m(x-x₁)) to emphasize the slope and a point on the line that isn't the y-intercept.

To highlight the same line's slope and y-intercept, you can rewrite the equation in slope-intercept form (y=mx+b).

So, we have the equation:

-3x + 8y = 12

Calculate the slope as follows:

We need to change it into a more general format.

-3x+8y=12

⇒ 8y = 3x+12

⇒ y = 3x/8+12/8

⇒ y = 3x/8+3/2

If you look at it in terms of y = mx+c, the m would be 3/8.

Therefore, with the help of the given equation, we know that the required slope is (A) 3/8.

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Complete question:

Select the correct answer. What is the slope of the line represented by this equation? -3x + 8y = 12

a. 3/8

B. 4/8

C. 8/4

D. 2

Answer:

BC = 143

JC = 10

Step-by-step explanation:

      In similar triangles, the corresponding sides are in same ratio.

   ΔABC ~ ΔAGH

         [tex]\sf \dfrac{BC}{GH} = \dfrac{AB}{AG}\\\\\\\dfrac{BC}{22}=\dfrac{130}{20}\\\\[/tex]

            [tex]\sf BC =\dfrac{130}{20}*22[/tex]

                   = 13 * 11

            [tex]\sf \boxed{BC = 143}[/tex]

11) ΔJLK ~ ΔJBC

          [tex]\sf \dfrac{JC}{JK} = \dfrac{JB}{JL}\\\\\\\dfrac{JC}{40}=\dfrac{12}{48}\\\\JC = \dfrac{12}{48}*40\\\\JC = \dfrac{1}{4}*40\\\\JC = 1*10\\\\\boxed{\bf JC = 10}[/tex]

Answer:

C

Step-by-step explanation:

4x is really just 4 times the cost of the drinks +the cost of the pretzel bag so ita 4x+y

Answer:

11.5 (this is a decimal)

The vertices of the polygon before and after dilation are shown below

preimage         Image

S (-5, 2)            S' (-20, 8)

T (-3, 4)            T' (-12, 16)

U (-1, 1)             U' (-4, 4)

V (3, -1)            V' (12, -4)

Dilation is a method of transformation that magnify or shrink the preimage depending on the scale factor

The transformation rule for dilation is as follows

(x, y) for a scale factor of r → (rx, ry)

Applying the rule to the vertices  of the polygon we have

preimage                          Image

S (-5, 2)     (4 * -5, 4 * 2)    S' (-20, 8)

T (-3, 4)     (4 * -3, 4 * 4)       T' (-12, 16)

U (-1, 1)      (4 * -1, 4 * 1)        U' (-4, 4)

V (3, -1)      (4 * 3, 4 * -1)        V' (12, -4)

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scale factor is 2/3

Step-by-step explanation:

because

Answer:

Step-by-step explanation:

add a better picture

The graph that shows the function f(x) = -ln (x - 1) is graph C.

Option C is the correct answer.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

f(x) = -ln (x - 1)

When x = 1, f(1) = - ln 0 = ∞

When x = 2, f(2) = - ln (2 -1) = -ln 1 = 0

When x = 3, f(3) = - ln (3 - 1) = - ln 2 =  - 0.30

These coordinates are seen in graph C.

The graph in option C represents f(x).

Thus,

The graph in option C represents f(x).

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Answer:

answer B

Step-by-step explanation:

Did this one on a test got it right last week

Substitution table method is a method for solving systems of linear equations. It involves writing out the equations in a table with one variable per column, and then substituting one variable for the other until the equations are solved. This method can help students visualize the equations and make it easier to keep track of the values of each variable.

The substitution table method is a simple but effective way of solving systems of linear equations. It involves writing out the equations in a table with one variable per column. Then, one variable is substituted for the other until the equations are solved. This method is useful because it provides a visual way of keeping track of the values of each variable. It can also help students understand which variable values need to be substituted into which equations. Once the table is complete, the equations can be solved by using the values of the variables in the table. This method can be used to solve both two-variable and multi-variable systems of linear equations.

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Lindsay's z - score, given the mean score, the standard deviation, and her score, is 2. 35.

To calculate a z-score, you subtract the mean from the individual score and then divide by the standard deviation.

The formula is:

z = (x - μ) / σ

Where

x is the individual score

μ is the mean

σ is the standard deviation.

So, to find Lindsay's z-score:

z = (98 - 78.2) / 8.4

z = 19.8 / 8.4

z = 2.35

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The fractions with the common denominators are given as follows:

The inequality relating the fractions is given as follows:

4/7 > 5/9.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

The terms are classified as follows:

The fractions for this problem are given as follows:

The denominators are given as follows:

7 and 9.

The least common multiple of 7 and 9 is given as follows:

7 x 9 = 63.

Hence the equivalent fractions are given as follows:

The equivalent fractions have the same denominator, while the equivalent fraction to 4/7 has the greater numerator, hence the inequality is given as follows:

4/7 > 5/9.

The problem is given by the image presented at the end of the answer.

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Answer:

$11.05

Step-by-step explanation:

First, you make the percent into a decimal

35% - 0.35

Next, you multiply 17 and 0.35

17* 0.35= 5.95

Then, you subtract the discount which is $5.95 from $17

17-5.95= 11.05

So, the answer is $11.05

Hope this helps :)

Answer: $11.05

Step-by-step explanation:

First how much 35% of 17:

35% = 0.35

0.35 x 17 = 5.95

Next, subtract this discount off of the total:

17 - 5.95 = 11.05

Now adding the dollar sign makes it $11.05

Answer:

t ≥ 7

Step-by-step explanation:

6t - 1 ≥ 4t + 13 ( subtract 4t from both sides )

2t - 1 ≥ 13 ( add 1 to both sides )

2t ≥ 14 ( divide both sides by 2 )

t ≥ 7

Answer:

Inequality Form: t ≥ 7

Interval Notation: [ 7, ∞ }

Step-by-step explanation:

1) Move all terms that contain "t" to the left side of the inequality by subtracting 4t from both sides.

a) 6t – 1 – 4t ≥ 13, THEN subtract 4t from 6t

b) 2t – 1 ≥ 13

2) Move terms that do not contain "t" to the right side of the inequality:

a) ADD 1 to both sides ––>  2t ≥ 13 + 1

b) ADD 13 and 1 ––> 2t ≥ 14

3) Divide each term by 2, then simplify:

= 2t/2 ≥ 14/2

4) Simplify the left side:

t = 14/2

5) Simplify the right side:

t ≥ 7

ANSWER:

Inequality Form: t ≥ 7

Interval Notation: [ 7, ∞ }

The required function after the trasformation of 3 units right and 1 unit up is given as g(x) = |x - 3| + 3.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given equation of function f(x) = |x| + 2

The above function is an aboslute function, so in order to translate the function right, the function after transformation will be as |x - 3|  + 2, we subtract 3 from x to translate in the horizontal x-axis.
Now,
Add + 1 to the function to translate it 1 unit up,
The function becomes,
g(x) = |x - 3| + 3

Thus, the required function after the trasformation of 3 units right and 1 unit up is given as g(x) = |x - 3| + 3.

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Answer:

For the hexagon, the sum of all angles must be equal to 360. So, we have 360 divided by 6 and we have 60 and this is the angle for the hexagon. For the pentagon, again, the sum of all the angles must be equal to 360, so each angle is equal to 360/5 = 72.

The difference between 72 and 60 is equal to y which is 12.

Step-by-step explanation:

Answer:

12 and 13!

12 * 13 = 156

Step-by-step explanation:

Hope it helps! =D

Answer: The answer to your question is 12 and 13= 156

The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the -value the same.

A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection.

When a point is reflected across the Y-axis, the Y-coordinates remain the same, and the X-coordinates are transformed into their opposite signs.

Therefore, the reflection of the point (x, y) across the Y-axis is (-x, y).

A reflection of a point, a line, in the Y axis reflects the image over the Y axis to create a mirror image. In this way, the Y axis would be called the axis of reflection.

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The area of sector in question 9 is 141.87 ft² and the area of sector in question 10 is 107.70 m².

A circle is a collection of points that are all equally distance from the circle's centre. The radius is the usual distance a circle travels from its centre to its point. The circle's centre (o) and radius (r) serve as its definition (r).

A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends.

Given in question 9, r = HK = 25 ft

angle of sector = 26°

so the area of sector A₉ = (26°/360°)π*r²

⇒ A₉ = (26°/360°)* 22/7 * (25)²

⇒ A₉ = (26°/360°)* (22 * 625)/7

⇒ A₉ = 357,500/2520

⇒ A₉ = 141.87 ft²

Given in question 10, SR = 26 m

⇒ r = ST = SR/2

⇒ r = 26/2 = 13 m

angle of sector = 73°

so the area of sector A₁₀ = (73°/360°)π*r²

⇒ A₁₀ = (73°/360°)* 22/7 * (13)²

⇒ A₁₀ = (73°/360°)* (22 * 169)/7

⇒ A₁₀ = 271,414/2520

⇒ A₁₀ = 107.70 m²

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Step-by-step explanation:

[tex]\displaystyle\\f(x)=\left\{\begin{array}{ccc}\sqrt{-x-1}\ \ \ if}\ \ \ x\leq -1 \\\frac{x}{x^2-x-2}\ \ \ if\ \ \ -1 < x < 2 \\log_2(x-1)\ \ \ if\ \ \ x\geq 2\end{array}\right[/tex]

Answer:

The length of LN is approximately 101.12 cm.

What is the length of the hypotenuse?

In a right triangle, the hypotenuse is the side opposite to the right angle and it is the longest side of the triangle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

In a right triangle, the length of the hypotenuse is given by the Pythagorean theorem: c^2 = a^2 + b^2.

In this case, we are given that LN is the hypotenuse, and LP and MN are the other two sides.

We are also given that LP = 100 and MN = 15, and that angle PLN = PNL which means that the triangle is a right triangle.

We can use the Pythagorean theorem to find the length of LN:

LN^2 = LP^2 + MN^2

LN^2 = 100^2 + 15^2

LN^2 = 10000 + 225

LN^2 = 10225

LN = √10225

LN ≈ 101.12 cm

So the length of LN is approximately 101.12 cm.

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The exponential form of given expression "[tex]8 \times 8 \times 8 \times 8[/tex]" is [tex]8^{4}[/tex] , and the value of this exponential expression is 4096 .

The exponential expression is given as : [tex]8 \times 8 \times 8 \times 8[/tex] ;

we have to represent the given expression in exponential Form ,

The Law Of Exponents states that , when multiplying the numbers having same base and different exponents , then the base is kept same and the exponents are added ,

So , According to  Law Of Exponents ,

the given expression can be written in exponential form as :

⇒ [tex]8 \times 8 \times 8 \times 8[/tex] ;

⇒[tex]8^{1+1+1+1}[/tex]

⇒ [tex]8^{4}[/tex] .

So , the exponential form is [tex]8^{4}[/tex] .

and the value of this expression is = 4096 .

Therefore , the exponential form of [tex]8 \times 8 \times 8 \times 8[/tex] is 8⁴ .

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