- 6x + 5y = 11 Complete the missing value in the solution to the equation x=-1

Answer:

Option B.

Step-by-step explanation:

If you begin with one dollar a day there will get you more by the end of the month because on day 2 your on 201 already which is more than you get in that month with one cent.

The first option (A) will give you more money than option (B).

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

Given that

Case A). Doubling each day

1 + 2+ 4 + 8 + 16 .... it is form a GP series with common ratio (r) 4/2 = 2

Number of terms (n)

Sum =  30( \(2^{30}\) - 1)/(2 - 1) = $2147483464.

Case B). Adding $100 each day

1 + (101 + 201 + 301 ....) it is form a ap series with common difference d = 201 - 101 = 100.

Number of terms = 29

Sum = 1 + 29/2 + [ 2 (101) + 28(100)] = $43530

Hence it is clear that case (A) will give you more money.

For more information about the geometrical progression

brainly.com/question/4853032

#SPJ5

NOVA's (Analysis of Variance) are used when a study involves comparing multiple groups. This statistical method is applied when there are five or more groups to compare, three or more groups to compare, one or more groups to compare, or four or more groups to compare.

NOVA allows researchers to determine if there are significant differences between the means of these groups, helping to assess the impact of different factors or interventions. NOVA (Analysis of Variance) is a statistical technique used to compare the means of multiple groups. It is employed when a study involves the comparison of different groups to examine the effects of various factors or interventions. NOVA is particularly useful when there are five or more groups to compare, as it allows researchers to determine if there are significant differences between these groups. By analyzing the variability within and between the groups, NOVA helps assess the impact of different factors on the outcome being studied. Furthermore, NOVA is also employed when there are three or more groups to compare. In this case, the analysis allows researchers to evaluate whether there are statistically significant differences among the means of the groups. It provides a comprehensive understanding of the variations between the groups and helps determine if the observed differences are due to chance or if they can be attributed to the variables being examined. Additionally, NOVA is applicable when researchers want to compare one or more groups. By using this statistical method, they can assess if there are significant differences in the means of these groups. This allows for a more comprehensive understanding of the data and helps draw meaningful conclusions about the impact of different factors on the outcome of interest. Lastly, NOVA is used when there are four or more groups to compare. By employing this statistical technique, researchers can analyze the differences between the means of these groups and determine if these differences are statistically significant. NOVA enables them to identify the presence of meaningful variations between the groups, aiding in the interpretation of the study results and supporting evidence-based decision-making. In summary, NOVA's (Analysis of Variance) are employed when a study involves comparing multiple groups. Whether there are five or more groups, three or more groups, one or more groups, or four or more groups to compare, NOVA allows researchers to determine if there are significant differences between the means of these groups. By utilizing this statistical method, researchers gain valuable insights into the impact of different factors or interventions and can draw meaningful conclusions from their data.

learn more about statistical method here: brainly.com/question/31491539

#SPJ11

The angle R corresponds to the angle E.

This comes from the fact that they are alternate interior angles.

Therefore, the vector form of the equation y = x² - 8x + 15 is y = (x - 4)² + 14. The vertex of the parabola is at the point (4, 14).

To convert the quadratic equation y = x² - 8x + 15 from standard form to vertex form, we need to complete the square by adding and subtracting a constant term. Here's the step-by-step explanation:

Factor the coefficient of x²: The coefficient of x² is 1, so we don't need to factor it.

Group the x terms: Rewrite the quadratic equation as y = (x² - 8x) + 15.

Complete the square: To complete the square, we need to add and subtract a constant term that will make the expression inside the parentheses a perfect square trinomial. The constant we need to add is half of the coefficient of x, squared: (8/2)² = 16.

y = (x² - 8x + 16 - 16) + 15 // add and subtract 16

y = (x - 4)² - 1 + 15 // factor and simplify

Simplify: Now we can simplify the expression by combining the constants -1 and 15 to get 14.

y = (x - 4)² + 14

To know more about vector,

https://brainly.com/question/30907119

#SPJ11

Answer:

$900.10

Step-by-step explanation:

15 percent of 999.99 = $849.15

(999 x 15)/100 = $149.85

849.15 with 6 percent sales tax is 900.10

Using the Optimization problem solving strategy, the maximum area inside the margins is 108 inch².

Firstly , we can develope a function of two variables. let the length of poster be x inch and width be y inch.

total Area of poster (A ) = x × y = 200 inch² ---(1)

we have provided that bottom and top margin is 2 inch each and right -left margin is 1 inch each.

So, length of poster inside margin (l) = (x-4 ) inch

width of poster inside the margin (w) = (y-2) inch

Area inside the margins = l × w sq. inch

= (x-4)(y-2) sq.inch ---(2)

from (1) we can find out the value of one variable and put in equation (2) ,

from( 1), y = 200/x

Area inside margins= (x-4)(200/x - 2) = 2(x -4)( 100/x - 1) = 2( 100 - x - 400/x + 4)

Area inside margins = 2 ( -x - 400/x + 104)

To minimize the area inside the margins we take first order derivative of it

dA/ dx = d/dx[ 2( -x - 400/x + 104) ]

= 2 d/dx ( -x - 400/x +104) = 2 ( -1 + 400/x² )

critical points occurs when dA /dx = 0

2 ( -1 + 400/x² ) = 0 => 800/x² = 2

=> x² = 400 => x = 20

putting value of x in equation (1) we get ,

x×y = 200 = 20× y => y = 10

so, length of poster is 20 inch and width is 10 inch.

Now, length of poster inside margin (l) = 16 inch

width of poster inside margin (w) = 8 inch

maximum area inside margin is 108 inch².

To learn more about Optimization problem, refer:

https://brainly.com/question/17083176

#SPJ4

If {v1,v2,...,vn} is a basis of V and {Tv1,Tv2,...,Tvn} is a basis of W, then T is an isomorphism.

A linear transformation T:V→W is an isomorphism if and only if it is one-to-one and onto.

If {v1,v2,...,vn} is a basis of V, then it is linearly independent and spans V. This means that any vector in V can be expressed as a linear combination of v1,v2,...,vn.

If {Tv1,Tv2,...,Tvn} is a basis of W, then it is also linearly independent and spans W. This means that any vector in W can be expressed as a linear combination of Tv1,Tv2,...,Tvn.

Since {v1,v2,...,vn} and {Tv1,Tv2,...,Tvn} are both bases of their respective spaces, they must have the same number of elements. This means that T is one-to-one.

To show that T is onto, we need to show that for any vector w in W, there exists a vector v in V such that T(v) = w.

Since {Tv1,Tv2,...,Tvn} is a basis of W, there exist scalars α1,α2,...,αn such that w = α1Tv1 + α2Tv2 + ... + αnTvn.

Let v = α1v1 + α2v2 + ... + αnvn.

Then T(v) = α1Tv1 + α2Tv2 + ... + αnTvn = w.

Therefore, T is onto.

Since T is one-to-one and onto, it is an isomorphism.

Learn more about isomorphism here : brainly.com/question/32504207

#SPJ11

Answer:20

Step-by-step explanation: This is answer is 20 because you have to divide 10 1/2 to get your answer .

what is Mary biking speed in miles per hour

The minimum standard deviation obtained using Excel's solver is about 13.45%. This corresponds to the answer option provided in the question: About 13.45%.

Using the provided Excel template for the two-asset efficient frontier, we set the mean return for the SP500 to be 10% with a standard deviation of 20%, the mean return for the TBond to be 5% with a standard deviation of 10%, and a correlation of 10% between the SP500 and the TBond. We then set the target portfolio return to be 10% in expectation. The question asks us to find the minimum standard deviation using Excel's solver.

Using Excel's solver, we can optimize the portfolio allocation to find the minimum standard deviation for the given target portfolio return. By adjusting the weights assigned to the SP500 and TBond, the solver finds the combination that minimizes the portfolio's risk.

The minimum standard deviation obtained using Excel's solver, in this case, is about 13.45%. This represents the lowest level of risk achievable for the given set of assets and their correlations while targeting a portfolio return of 10%. It indicates the optimal allocation that balances risk and return based on the specified parameters.

Learn more about  standard deviation here:

brainly.com/question/13498201

#SPJ11

Answer:

Step-by-step explanation:

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

Answer:

Slope Intercept form: y = mx + b

Step-by-step explanation:

mx: the slope

b: y- intercept

To find the slope, use this formula:

y₂ - y₁ / x₂ - x₁

Add in the numbers

1 - (-5) / 0 - 2

-6/2 (or -3) = slope

Use point-slope form to find the Y- intercept

y - y₁ = m (x - x₁)

y - (-5) = -3 (x - 2)

y + 5 = -3x + 6

Subtract 5 from both sides

y = -3x + 1 ← Slope intercept form

Graph the y- intercept at 1, and go down 3 and to the right 1. Your two coordinates will be (0 , 1) and (1, -2) .

Based on the cost-to-cost trade-off calculations, the company should choose the 83 mph speed, resulting in a total cost of $764.

To evaluate the cost-to-cost trade-offs, we need to consider the fuel cost and the cost of delay due to slower mph. The distance to be covered is 720 miles. At a speed of 90 mph, the fuel efficiency is 8 miles per gallon, and at 83 mph, it is 10 miles per gallon. The diesel fuel cost is $8.64 per gallon, and the cost of delay due to slower mph is $630.
To calculate the total cost for each speed, we divide the distance by the miles per gallon to determine the number of gallons needed. Then, we multiply the number of gallons by the fuel cost per gallon and add the cost of delay, if applicable.
For 90 mph: Total fuel cost = (720 miles / 8 miles per gallon) * $8.64 per gallon = $777.60.
For 83 mph: Total fuel cost = (720 miles / 10 miles per gallon) * $8.64 per gallon = $622.08.
Adding the cost of delay for 83 mph: Total cost = $622.08 + $630 = $1252.08.
Therefore, choosing the 83 mph speed results in a total cost of $764, which is lower than the total cost of $1252.08 for the 90 mph speed. Thus, the company should choose the 83 mph speed according to the cost-to-cost trade-off calculations.

Learn more about total cost here
https://brainly.com/question/30355738

#SPJ11

Step-by-step explanation:

so her minimum 4th score is calculated this way:

\( \frac{230 + 185 + 195 + x}{4} = 210 \\ 610 + x = 840 \\ x = 230\)

so in round four

her score should be x in the way that:

x≥230

Answer: 73.9

Step-by-step explanation:

Answer:

I have a suggestion. There are math apps on google play store or apple app store that can solve this question for you. You'll just take a pic of the question and it will answer it.

Step-by-step explanation:

....... wont let me type the name of the app so I'm gonna code it with the numbers of the alphabets.

13 1 20 8 23 1 25 is a really good one

Two values have frequency 2, so both are modes. They are 5 and 6. Therefore, the mode is 5 and 6.

Given measure: 3, 5, 4, 6, 10, 5, 6, 9, 2, 13.(D) To calculate \(x_2\), first we need to sort the data in ascending order: 2, 3, 4, 5, 5, 6, 6, 9, 10, 13

Now, we need to find the median, which is the middle value of the data. Since the data has even number of values, we will calculate the mean of middle two values, that is:(5+6)/2 = 5.5 Therefore, \(x_2 = 5.5\).\( \frac{2}{x}= \) To find the value of x, we will first cross-multiply and then take the reciprocal of both sides:\[\frac{2}{x} = y \Rightarrow 2 = xy \Rightarrow x = \frac{2}{y}\] Therefore, \( \frac{2}{x}= \frac{2}{y}\).

(b) To calculate Fried m, we will use the formula: \[f_m = L + \frac{(n/2 - F)}{f} \times c\]where L is the lower limit of the modal class, F is the cumulative frequency of the class preceding the modal class, f is the frequency of the modal class, c is the class interval, and n is the total number of values.

First, we will calculate the class interval:c = (upper limit of class - lower limit of class) = (7-6) = 1 Next, we will construct a frequency table to find the modal class:| Class Interval | Frequency ||-------------------|------------|| 2-3 | 1 || 3-4 | 1 || 4-5 | 1 || 5-6 | 2 || 6-7 | 2 || 7-8 | 1 || 9-10 | 1 || 10-11 | 1 || 13-14 | 1 |The modal class is the class with highest frequency.

Here, two classes have frequency 2, so both are modes. They are 5-6 and 6-7.

Therefore, L = 5, F = 2, f = 2, n = 10, and c = 1. Substituting the values, we get:\[f_m = L + \frac{(n/2 - F)}{f} \times c = 5 + \frac{(10/2 - 2)}{2} \times 1 = 7\] Therefore, Fried m = 7.

(c) To find the mode, we look for the value(s) with highest frequency. Here, two values have frequency 2, so both are modes. They are 5 and 6. Therefore, the mode is 5 and 6.

To know more about modes visit:

brainly.com/question/33298559

#SPJ11

The sector area of the sector defined by the minor arc CB is given as follows:

7.5 cm².

The area of a circle of radius r is given by π multiplied by the radius squared, as follows:

A = πr².

We have that the radius is half the diameter, hence it's measure is given as follows:

r = 3 cm.

The angle measure of arc CB is given as follows, considering that BD is half the circle = 180º.

CB + 84º = 180º.

CB = 96º.

An entire circle has an angle of 360º, hence the area of the sector is given as follows:

A = 96/360 x π x 3²

A = 7.5 cm².

More can be learned about the area of a circle at https://brainly.com/question/15673093

#SPJ1

Answer:

\(\frac{1}{4}\)(x + 11)

Step-by-step explanation:

\(\frac{1}{4}\)(x + 11) = \(\frac{1}{4}\)x + \(\frac{11}{4}\)

Steven's cards = x

Nathaniel's cards = 2x

Marcus' cards = 2x - 4

Kurt's cards = 2x - 5

Since the sum of the cards is equal to 47, let's set all the cards equal to 47

x + 2x + 2x - 4 + 2x - 5 = 47

Combine like terms.

7x - 9 = 47

Add 9 to both sides

7x = 56

Divide both sides by 7

x = 8

Let's plug 8 into x for Kurt's cards.

Kurt's cards = 2x - 5 = 2(8) - 5 = 16 - 5 = 11 cards.

Answer:

Ellie will need to have 13 slices.

Step-by-step explanation:

Answer:

40/33

Step-by-step explanation:

x=1.21 (21 repeating)

100x=121.21 (21 repeating)

100x-x=121.21-1.21

100x-1x=(121+0.21)-(1+0.21)

99x=120+0

99x/99=120/99

x=40/33

Answer:585.......

Step-by-step exampel:

Answer:

10500 calories

Step-by-step explanation:

\(1\: ounce = 218.75 \: calories\\\)

Octal Number System-

What is meant binary number?

Binary number system, in mathematics, positional numeral system employing 2 as the base and so requiring only two different symbols for its digits, 0 and 1, instead of the usual 10 different symbols needed in the decimal system.

What is the binary and octal number system?

Learn more about binary number

brainly.com/question/8649831

#SPJ4

Answer:

{(3, 5), (2, 5), (3,8)}

Step-by-step explanation:

separate the x's & y's & put them in separate brackets

Do \(288*2/3=192\) to determine how many cupcakes were sold out of the 288 items.

Subtract the cupcakes from the whole to determine how many cookies were sold out of the 288 items 288-192=96

Do \(96*0.50=48\) to determine how much money was made from each sale of the cookies.

The chess club members raised $48 from the cookies that were sold.  

The chess club members raised $192 from the cupcakes that were sold.

The chess club members made $240 in total from the bake sale.

The amount raised from the sale of cookies is $48

The fraction of cookies sold = 1 - fraction of cupcakes

Fraction of cookies = 1 - 2/3 = 1/3

Number of cookies sold = 288 × 1/3 = 96 cookies

Number of cupcakes = 288 × (2/3) = 192 cupcakes

Amount made from sale of cupcakes :

$1 × 192 = $192

Amount made from sale of cookies :

$0.50 × 96 = $48

Therefore, the amount raised from the sale of cookies is $48

Learn more : https://brainly.com/question/18112348

Answer:

0.1111

Step-by-step explanation:

That the repeating decimal

Answer:

Step-by-step explanation:

C

the equation would be y=2x+4

The solution is Option C.

The linear equation is given as y = 2x + 4

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the x values be = { -4 , -2 , 0 , 2 }

Let the y values be = { -4 , 0 , 4 , 8 }

The slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 0 - ( -4 ) / ( -2 - ( - 4 ) )

On simplifying the equation , we get

Slope m = 4/2 = 2

Now , the equation of line is

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 0 = 2 ( x - ( -2 ) )

On simplifying the equation , we get

y = 2x + 4

Hence , the linear equation is y = 2x + 4

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

The correct sine regression model for the data is y = 0.508 sine (0.212 x + 1.529) minus 0.512.

Regression is a statistical technique used to analyze data and identify relationships between variables. It is used to predict the value of a dependent variable based on one or more independent variables. In regression analysis, the relationship between the dependent and independent variables is described using a mathematical equation.

This sine regression model is based on the data given in the question. The model is in the form y = a* sin(bx + c) + d.
The coefficients a, b, c, and d can be determined by fitting the model to the data.
By fitting the model to the data, the coefficients can be determined to be a = 0.508, b = 0.212, c = 1.529, and d = -0.512.
Therefore, the correct sine regression model for the data is y = 0.508 sine (0.212 x + 1.529) minus 0.512.

To learn more about regression
https://brainly.com/question/31174960
#SPJ1

Answer:

25

Step-by-step explanation:

A=1/2×b×h

A=1/2×5cm×10cm

A=25cm