Consider the following pattern:1.9 X 1 - 1 = 82.9 x 21 - 1 = 1883.9 x 321 - 1 = 2,8884.9 x 4321 - 1 = 38,8885. Use the pattern and inductive reasoning, to find the next answer in the sequence:

Answer:

Step-by-step explanation:

Answer:

37x4

4x30=120

4x7=28

120+28=148

this is how i show my work. it has never failed me

Step-by-step explanation:

37×4

4×30

4×7=28

120+28=148

Answer:

y=11x

Step-by-step explanation:

we use formula y2-y1/x2-x1 with 2 of the order pairs

22-11/2-1

11/1

11 is the slope

We find y intercept by finding when x is equal to zero and we subtract 11 until we find the 0 x unit since it goes down 11 every time

When x is zero y is zero so we write it like this

Y=11x

Hopes this helps please mark brainliest

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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Using quotient rule:

The required  value of Triangle + Circle x Half of one square is 20.

Let's call the value we're trying to find "x".From the first equation, we know that the sum of three triangles is equal to 30. Let's call the value of one triangle "t":

t + t + t = 30

Simplifying this equation, we get:

3t = 30

t = 10

So, one triangle has a value of 10.

From the second equation, we know that one triangle plus two circles equals 20. Let's call the value of one circle "c":

10 + c + c = 20

Simplifying this equation, we get:

2c = 10

c = 5

So, one circle has a value of 5.

From the third equation, we know that one circle plus two squares equals 13. Let's call the value of one square "s":

5 + s + s = 13

Simplifying this equation, we get:

2s = 8

s = 4

So, one square has a value of 4.

Now, let's look at the fourth equation:

10 + 5 x (1/2)4 = ?

Simplifying this expression, we get:

10 + 5 x 2 = 20

Therefore, the value of Triangle + Circle x Half of one square is 20.

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Answer:

-0.33333333333 in other word it o.3 with line over 3

Step-by-step explanation:

Step-by-step explanation:

this is a combined object :

there is the basic block at the bottom (21×21×17), and there is a pyramid on top of it.

so, we need to calculate the volume of both parts and add them for the total volume.

the volume of the block is, as mentioned :

21 × 21 × 17 (length×width×height) = 7,497 ft³

the volume of a pyramid is

length×width×height/3

which is in our case

21 × 21 × 9 / 3 = 21 × 21 × 3 = 1,323 ft³

so, the total volume is

7,497 + 1,323 = 8,820 ft³

Answer:

About 2.9 pounds per day.

Step-by-step explanation:

20÷7=2.85714...

rounded- 2.9

So Tank, the Great Dane, ate about 2.9 pounds per day.

Answer:

Step-by-step explanation:

2 6/7

Answer:

30

Step-by-step explanation:

1.5 x 20 is 30

Let x= be the amount in the account with .5%

Let y be the amount in the account with .25%

We know that interest is

I = PRT

I = 21.25 and time is 1 year so t=1

I = x(.005)(1) + y (.0025)

We also know that the amount invested is 5000

x+y = 5000

The system of equations is

21.25 = .005x + .0025y

x+y = 5000

21.25 = .005x+.0025y

Let x = 0

21.25 = .0025y

21.25/.0025 =y

The y intercept is 8500

Let y =0

21.25 = .005x

21.25/.005 =x

The x intercept is 4250

x+y = 5000

Let x = 0

The y intercept is 5000

Let y =0

The x intercept is 5000

Using substitution

x = 5000-y

21.25 = .005(5000-y) + .0025y

21.25 = 25 - .005y +.0025y

21.25-25 = -.0025y

-3.75 = -.0025y

-3.75/-.0025 = y

1500 = y

Now find x

x+y = 5000

x+1500=5000

x = 5000-1500

x = 3500

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

\(\qquad \sf  \dashrightarrow \: 816 = 600( 1 + 9r)\)

\(\qquad \sf  \dashrightarrow \: 816 = 600 + 5400r\)

\(\qquad \sf  \dashrightarrow \: 5400r = 816 - 600\)

\(\qquad \sf  \dashrightarrow \: 5400r = 216\)

\(\qquad \sf  \dashrightarrow \: r = \dfrac{216}{5400} \)

\(\qquad \sf  \dashrightarrow \: r= \dfrac{4}{100} \)

\(\qquad \sf  \dashrightarrow \: r = 0.04\)

The equation, 816 = 600(1 + 9r), represents the amount of money earned on a simple interest savings account. On solving the linear equation for r, we get r = 0.04 (a).

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Given in the question,

\(816 = 600(1 + 9r)\\\\\frac{816}{600} = 1+9r\\ \\\frac{816}{600} -1 = 9r\\\\\frac{216}{600} = 9r\\\\r = \frac{216}{600* 9 } = 0.04\)

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I'm not sure, but I can refer you to this:

https://brainly.com/question/115467

Answer:

Step-by-step explanation:

Way 1: Line segment is part of the straight line between two points

Way 2: Ray is the part of the line which consist of the G,P and the set of points on 1 side of the endpoint

Way 3: Angle either two rays  or two segments having a common endpoint

Answer and Step-by-step explanation:

Given:

Charges includes 10 hour per month = $50

Charges for additional hour = $9

Piecewise definition of cost F(x) for a month in which a member use a car for  hours.

Find limits?

Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.

Lim x → 10- F(x) = 50$

Lim x → 10 [ 9x – 70] = 9( 10) – 70  

                                = 90 – 70

                                = 20 > 10

Limit does not exist.

Lim x → 10+ F(x) = 50$

Lim x → 10+  F(x) = Lim x → 10+   [90x – 70]

                         = 90 – 70

                          = 20 > 10

Limit does not exist.

Lim x → 10 F(x) = 50$

An integer or an decimal.

The limit does not exist.

The piece wise definition of the cost \(f(x)\) for a month in which a member uses a car for \(x\) hours is given by the equation,\(f(x)= 50+9(x-10)\).

Given,

Membership plan is \(\$50\) per month.

We have to write a piece wise definition of the cost \(f(x)\) for a month in which a member uses a car for \(x\) hours.

Here, \(\$\)\($50\) per month fees includes 10 hours of driving each month, so the cost for a month is given as,

\(f(x)= 50+9(x-10)\)

Here \(x\) is the no. of additional hours for the month.

Further,

\(f(x)= 9x-40\).

Now at,

\(lim _{x \to 10^+}f(x) = 9\times 10-40\\\)

Or,

\(f(x)= 90-40\\f(x)=50\)

Similarly, at left limit,

\(lim _{x \to 10^-}f(x) = 9\times (-10)-40\)

Or,

\(f(x)=-90-40\)

\(f(x)=-130\)

Finally at \(x=10\), \(f(x)=9\times10-40\)

\(f(x)=90-40\\f(x)=50\)

Since \(lim{x \to}10^+\) \(\neq limx\to 10^-\neq f(x) (at x= 10)\)

So the required function \(f(x)\) is discontinuous at \(x=10\)

Hence the piece wise definition of the cost \(f(x)\) for a month in which a member uses a car for \(x\) hours is given by the equation,\(f(x)= 50+9(x-10)\).

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Answer:

120 square inches

Step-by-step explanation:

L = 36 feet

W = 30 feet

Scale:

l = 12 inches (1 foot)

w = 10 inches because 30/36 = 10/12..

10x12 inches = 120 square inches

Answer:

\(\textsf{17.} \quad a_n=2(2)^{n-1}\)

\(\textsf{18.} \quad a_n=-729 \left(\dfrac{1}{3}\right)^{n-1}\)

Step-by-step explanation:

To write a rule for the nth term of a geometric sequence, we can use the following formula:

\(\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=ar^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}\)

\(\hrulefill\)

Given terms:

Substitute the given values into the formula to create two equations:

\(\begin{aligned}a_3=ar^{3-1}&=8\\ar^2&=8\end{aligned}\)

\(\begin{aligned}a_6=ar^{6-1}&=64\\ar^5&=64\end{aligned}\)

To find the common ratio, r, divide the second equation by the first equation to eliminate a:

\(\dfrac{ar^5}{ar^2}=\dfrac{64}{8}\)

  \(\dfrac{r^5}{r^2}=8\)

\(r^{5-2}=8\)

   \(r^3=8\)

   \(r^3=2^3\)

    \(r=2\)

Substitute the found value of r into one of the equations and solve for a:

\(\begin{aligned}a(2)^2&=8\\4a&=8\\\dfrac{4a}{4}&=\dfrac{8}{4}\\a&=2\end{aligned}\)

Therefore, the rule for the nth term of the given geometric sequence is:

\(\boxed{a_n=2(2)^{n-1}}\)

\(\hrulefill\)

Given terms:

Substitute the given values into the formula to create two equations:

\(\begin{aligned}a_4=ar^{4-1}&=-27\\ar^3&=-27\end{aligned}\)

\(\begin{aligned}a_6=ar^{6-1}&=-3\\ar^5&=-3\end{aligned}\)

To find the common ratio, r, divide the second equation by the first equation to eliminate a:

\(\dfrac{ar^5}{ar^3}=\dfrac{-3}{-27}\)

  \(\dfrac{r^5}{r^3}=\dfrac{1}{9}\)

\(r^{5-3}=\dfrac{1}{9}\)

  \(r^{2}=\dfrac{1}{9}\)

   \(r=\sqrt{\dfrac{1}{9}}\)

   \(r=\dfrac{1}{3}\)

Substitute the found value of r into one of the equations and solve for a:

\(\begin{aligned}a\left(\dfrac{1}{3}\right)^3&=-27\\\dfrac{1}{27}a&=-27\\a&=-729\end{aligned}\)

Therefore, the rule for the nth term of the given geometric sequence is:

\(\boxed{a_n=-729 \left(\dfrac{1}{3}\right)^{n-1}}\)

To Prove :

a×(b+c) = a×b + a×c

Solution :

Solving L.H.S. we get :

\(a(b+c ) = \dfrac{1}{3}( \dfrac{1}{5}-\dfrac{2}{3})\\\\= -\dfrac{7}{45}\)

Solving R.H.S. we get :

\(a\times b + a\times c = \dfrac{1}{3}\times \dfrac{1}{5} + \dfrac{1}{3}\times (-\dfrac{2}{3})\\\\= -\dfrac{7}{45}\)

Since, L.H.S = R.H.S

Therefore, the given equation is correct.

The amount of tax that is added to the cost of the computer is 159.72

From the question, we have the following parameters that can be used in our computation:

Computer cost = 968

Tax percentage = 16.5%

Using the above as a guide, we have the following:

Tax amount = Computer cost * Tax percentage

substitute the known values in the above equation, so, we have the following representation

Tax amount = 968 * 16.5%

Evaluate

Tax amount = 159.72

Hence, the amount of tax that is added to the cost of the computer is 159.72

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Answer:

60(.15)= 9

answer is 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

Let A represent the number of students reading Accountancy, S represent the number of students reading Sociology, and F represent the number of students reading French.

Let X be the number of students reading all three.

From the information given:

A ∩ S = 19

A + S - 27 = 120 - 53 + 19 = 86 (number of students reading Accountancy or Sociology but not French)

S - A - X = 27

S + F - X = 53

F - X = 19

A - X = 86 - 19 = 67

Total = A + S + F - (A ∩ S) - (A ∩ F) - (S ∩ F) + X = 120

Solving, we get X = 6, A = 73, S = 52, F = 25.

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

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The range of the repairs to the cars is 241.

The sample variance is 11, 671.33

The sample standard deviation would be 108.03.

Range = Maximum repair cost - Minimum repair cost

= 456 - 215

= 241

Find mean :

= (422 + 456 + 401 + 215) / 4

= 373. 5

Sample variance :

= Sum of ( each repair cost - mean ) ² / (Number of cars - 1)

= ( 2, 340.25 + 6, 812.25 + 756.25 + 25, 105.25 ) / ( 4 - 1 )

= 11, 671. 33

Sample standard deviation:

= √sample variance

= √11, 671. 33

= 108. 03

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Answer:

140°

Step-by-step explanation:

Since we know that a circle is 360 degrees, and we are given three angles, we can subtract what we know from 360 to get ∠PTQ:

360 = 120 + 60 + 40 + ∠PTQ

360 = 220 + ∠PTQ

-220   -220

140 = ∠PTQ

∠PTQ = 140°

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Answer:

They are collinear if they are on the same line

Answer:

30a\(x^{2}\)b

Step-by-step explanation:

When you simplify an expression, you're basically trying to write it in the simplest way possible. In the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do. For example, take this expression: 4 + 6 + 5.

Answer:

-14

Step-by-step explanation:

We have two points

(2010, 320)  and ( 2020, 180)

The slope is

m= ( y2-y1)/(x2-x1)

   = ( 180-320)/(2020-2010)

   = -140/10

   = -14 lbs/ year

Answer:

To find the break-even point, we need to set the revenue equal to the expenses and solve for x:

1000 + 18x = 1700 + 13x

5x = 700

x = 140

Therefore, Pizza Garden needs to sell 140 pizzas in a week to break even. So the answer is 140.

The absolute value function for this problem is given as follows:

y = |x - 4| - 6.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The coordinates of the vertex of the function are given as follows:

(4, -6).

The slope of 1 determines the leading coefficient a as follows:

a = 1.

Hence the function is given as follows:

y = |x - 4| - 6.

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Answer:

Step-by-step explanation:

55.

The solution is, the function doesn't have a minimum value.

A derivative is described as either the rate of change of a function, or the slope of the tangent line at a particular point on a function.

here, we have,

given that,

the function is,

g(x) = x^2 + 55

now, we have to find the min. value of the function.

so, we have,

g(x) = x^2 + 55

the 1st order derivative is,

g'(x)= 2x

now, we have, critical point, at g'(x)= 0

i.e. at 2x = 0

or, x = 0

so, min. value is at x= 0 of g''(x),

i.e.  g''(x) = 2

so, it doesn't have any minimum value.

Hence, The solution is, the function doesn't have a minimum value.

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Answer:

Step-by-step explanation:

As,

\( {64}^{ \frac{2}{3} } = {(\sqrt[3]{64})}^{2} = \sqrt[3]{ {64}^{2} } \)

circle A is

circle B is

the union is:

in which, each number must appears one time. Thats why 3 and 9 only appers one time in the union.