during a fundraiser ms dowsons class raised $560 which is 25% more than mr caseys class raised. Mr caseys class raised how much money

To find the number of cookies the avid baker must make to break-even, we need to set the profit equation P(x) equal to zero and solve for x:0 = -9 + 1.5x
9 = 1.5x
x = 6


0 = -9 + 1.5x

To solve for x, first add 9 to both sides:

9 = 1.5x

Now, divide both sides by 1.5:

x = 6

So, the baker must make 6 cookies to break even.

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Answer:

Step-by-step explanation:

\((-1)^{n}\) * \(2^{n}\)

then

\((-1)^{6}\) * \(2^{6}\) =  64

Answer:

b.area of one triangular faces =9m²

The assumption that is not typically associated with linear programming models is A) normality.

Linear programming models do not assume normality of the variables or the distribution of the data. Linear programming deals with optimizing linear objective functions subject to linear constraints, without any specific assumptions about the underlying distribution of the data. The focus is on finding the optimal solution within the feasible region defined by the constraints.

The other assumptions mentioned in the options are commonly associated with linear programming models:

B) Certainty: Linear programming assumes that all the data and parameters are known with certainty.

C) Divisibility: Linear programming assumes that variables can take fractional or continuous values. This assumption allows for finding optimal solutions that may involve non-integer values for the decision variables.

D) Linearity: Linear programming models assume that the objective function and the constraints are linear in nature. This means that the variables appear in a linear form, without any multiplication or exponentiation.

E) Nonnegativity: Linear programming assumes that the decision variables cannot take negative values, and they are nonnegative or zero.

These assumptions collectively form the foundation for linear programming models and help in formulating and solving optimization problems efficiently.

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Answer:

y=7/9x+31/9

Step-by-step explanation:

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

m=(-2-5)/(-7-2)

m=-7/-9

m=7/9

y-y1=m(x-x1)

y-5=7/9(x-2)

y=7/9x-14/9+5

y=7/9x-14/9+45/9

y=7/9x+31/9

Answer:

60°

Step-by-step explanation:

Since, x and 2x are supplementary angles.

\( \therefore \: x + 2x = 180 \degree \\ \\ \therefore \: 3x = 180 \degree \\ \\ \therefore \: x = \frac{180 \degree}{3} \\ \\ \huge \red{ \boxed{\therefore \: x = 60 \degree}}\)

Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.

The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.

In other words, it involves using sample data to make generalizations or predictions about a larger population.

Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.

It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.

This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.

These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.

The goal of inferential statistics is to provide insights into the larger population based on a representative sample.

It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.

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Therefore, the solution to the proportion 6/x = x/18 is x ≈ 10.3923.

Proportion is a mathematical concept that represents the equality of two ratios. A ratio is the relationship between two numbers and is typically expressed as a fraction or a decimal. A proportion is a statement of equality between two ratios.

Here,

We can set up the proportion as:

6/x = x/18

To solve for x, we can cross-multiply the terms:

6 * 18 = x * x

Simplifying:

108 = x²

Taking the square root of both sides:

x = ±√108

x ≈ ±10.3923 (rounded to four decimal places)

Since x cannot be negative, we can take only the positive value:

x ≈ 10.3923

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Answer:

95 because angles must always add up to 180 degrees.

Answer:

Graphing the equation we have;

Explanation:

Given the equation;

the slope of the line can be derived by expressing the equation in slope-intercept form;

So, the slope and y-intercept are;

to graph the equation, let us find the x-intercept;

Graphing the equation we have;

Other points on the graph includes;

Answer:

6

Step-by-step explanation:

Nick  Tests 4. +2 every month. Jason Tests 0. +6 every month.

Meaning that on the first month Nick will have 6 and Jason will too.

Answer is 6. (in 1 month).

Answer: C

Step-by-step explanation:

The distance between numbers is the difference between them.

5/2 and  4 7/8  

Using these pints the distance will be

5/2 - \(4\frac{7}{8}\)   is the same as -5/2 - 4 7/8  

and is also not the same as 5/2 - (-4 7/8)

Answer:

C) None of the above

Step-by-step explanation:

The distance between 5/2 and 4 7/8 is 4 7/8-5/2= 39/8-20/8=19/8=2 3/8

A) |-5/2-4 7/8|=|-20/8-39/8|=|-59/8|=59/8= 7 3/8 SO NO

B) |5/2-(-4 7/8)|=|20/8+39/8|=|59/8|=59/8= 7 3/8 SO NO

C) None of the above = YES

The estimated coefficient for Fitness Center in a regression analysis represents the expected change in the dependent variable associated with a unit increase in the independent variable.

It tells us how much having a Fitness Center affects the rent price. To determine how much the rent price for a 1-bedroom apartment would be if the complex has a Fitness Center, Parking Space, and Wireless Internet, we would need to know the specific coefficients for each of these independent variables in the regression analysis, as well as the constant term. We could then plug in the values for each variable and calculate the predicted rent price. It is important to note that the estimated coefficient for Fitness Center does not necessarily imply causation. Other factors could be influencing both the presence of a Fitness Center and the rent price, and a regression analysis only captures the relationship between the variables that are included in the model. Additionally, the size and direction of the coefficient can vary depending on the data and methodology used in the analysis.

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a. The initial size of the bacteria colony is 1 gram.

b. The growth rate for this bacteria colony is 25% per day.

c. The size of the bacteria colony after t days is given by the equation S(t) = 1 * e^(0.25t) grams.

d. To find when the colony size reaches 5 grams, we need to solve the equation 5 = 1 * e^(0.25t) for t. Taking the natural logarithm of both sides and rearranging, we get t = ln(5)/0.25 ≈ 8.7 days.

e. The doubling time for this colony is approximately 2.77 days, which is found by solving the equation 2 = 1 * e^(0.25t) for t. Taking the natural logarithm of both sides and rearranging, we get t = ln(2)/0.25 ≈ 2.77 days.

The law of uninhibited growth states that the growth rate of a population is proportional to its size, and there are no limiting factors that affect the growth. In this problem, the size of the bacteria colony is modeled using an exponential function, where the initial size of the colony is 1 gram and the growth rate is 25% per day.

To find the size of the colony after a certain number of days, we can substitute the given value of t into the equation S(t) = 1 * e^(0.25t). For example, after 5 days, the size of the colony is S(5) = 1 * e^(0.25*5) ≈ 2.28 grams.

To find when the colony size reaches a certain value, we need to solve the exponential equation S(t) = 1 * e^(0.25t) = A, where A is the desired size. Taking the natural logarithm of both sides and rearranging, we get t = ln(A)/0.25. For example, to find when the colony size reaches 5 grams, we solve the equation 5 = 1 * e^(0.25t) for t and get t = ln(5)/0.25 ≈ 8.7 days.

The doubling time is the time it takes for the population to double in size. In this case, we need to solve the exponential equation 2 = 1 * e^(0.25t) for t. Taking the natural logarithm of both sides and rearranging, we get t = ln(2)/0.25 ≈ 2.77 days.

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Based on the stem- and-leaf plot which indicates the scores of 50 students, the number of students that scored 22 is 1. (Option B).

A stem and leaf plot is a simple type of graph composed entirely of integers.

It is a method of illustrating the major characteristics of a distribution.

When a stem and leaf plot is flipped over, it resembles a bar graph or histogram and provides similar visual information.

A stem and leaf plot divides each data value into a leaf (the final number) and a stem (the other digits).

For instance, 12 on the stem and 7 on the leaf read as 127, and 127 is written using the stem and leaf plot key 12 I 7.

So, in this situation, in search of 22, we have:

The number of pupils who scored 22 is given as 2 on the stem and 2 on the leaf on the right side.

The total number of digits on the right also tells us how many students there were.

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The quadrilateral is a parallelogram so it is Yes.

If a quadrilateral has a pair of parallel opposite sides, it’s a special polygon called parallelogram .The properties of a parallelogram are as follows:

The opposite sides are parallel and equal

The opposite angles are equal

The consecutive or adjacent angles are supplementary

If any one of the angles is a right angle, then all the other angles will be at right angle.

The quadrilateral is a parallelogram since the adjacent interior angles 75° and 105° are supplementary meaning they sum up to 180°

In conclusion, yes, the figure is a parallelogram.

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The interest rate your friend is charging you for the $20,000 loan is 20% per year.

The simple interest is expressed as;

A = P( 1 + rt )

Where A is accrued amount, P is principal, r is the interest rate and t is time.

Given that;

The Principal P = $20,000

Accrued amount A = $40,000

Elapsed time t = 5 years

Interest rate r =?

Plug these values into the above formula and solve for the interest rate r:

\(A = P( 1 + rt )\\\\r = \frac{1}{t}( \frac{A}{P} -1 ) \\\\r = \frac{1}{5}( \frac{40000}{20000} -1 ) \\\\r = \frac{1}{5}( 2 -1 ) \\\\r = \frac{1}{5}\\\\r = 0.2 \\\\\)

Converting r decimal to R a percentage

Rate R = 0.2 × 100%

Rate r = 20% per year

Therefore, the interest rate is 20% per year.

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The number of different ways is 7560 ways

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

Chiefs = 1

Supporting chiefs = 2

Members = 10

Inferior officers = 2

There are 10 members.

So, the number of ways to select a chief is 10

Now, there are 9 members left

The number of ways to select a supporting chief is then represented as

Supporting chief = ⁹C₂

Now, there are 7 members left

The number of ways to select an inferior officer is then represented as

Inferior officers = ⁷C₂

So, the total number of ways is

Ways = 10 * ⁹C₂ * ⁷C₂

Evaluate

Ways = 7560

Hence, the number of ways is 7560

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The cartesian vector form of \(F\) is \(F = (-31cos(\alpha )i + 102sin(\alpha )j)\). We call x + yi the Cartesian form for a complex number.

Given that \(i,j,p\) and \(q\) are unit vectors and the angle \(\alpha = 222\)°, we can express the cartesian vector form of \(F\) as \(F = (-31cos(\alpha )i + 102sin(\alpha )j)\).

To calculate the components of \(F\) , we use the trigonometric functions \(cos(\alpha )\) and \(sin(\alpha )\) with the given angle \(\alpha = 222\)°.

\(cos(222) = -0.766\\sin(222) = -0.643\)

Substituting these values into the cartesian vector form, we have:

\(F = (-31cos(222)i + 102sin(222)j)\\F = (-31 * -0.766i + 102*-0.643j)\\F = (23.746i - 65.586j)\)

Therefore, the cartesian vector form of \(F\) is \(F = (23.746i - 65.586j)\).

The cartesian vector form of \(F = (23.746i - 65.586j)\)

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Answer:

115 lbs = 52.16 kilograms

Step-by-step explanation:

115 pounds is a little over 52kg

Answer:

12.7

Step-by-step explanation:

hope this helps!

Answer:

The correct explanation is option B;

B. ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since \(\overline {OP}\) ║ \(\overline {MN}\), ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6

Step-by-step explanation:

The given parameters are;

\(\overline {LP}\) = 5

\(\overline {NP}\) = 10

\(\overline {LN}\) = \(\overline {LP}\) + \(\overline {NP}\) = 15

\(\overline {OP}\) = x - 3

\(\overline {MN}\) = x + 1

A two column proof is presented as follows;

Statement    \({}\)      Reason

∠L ≅ ∠L     \({}\)        By Reflexive property of congruency

\(\overline {OP}\) ║ \(\overline {MN}\)     \({}\)     Given

∠LOP ≅ ∠LMN \({}\)  By the Corresponding angles Postulate

Therefore

ΔLOP ~ ΔLMN \({}\)  By AA similarity Postulate

Where we have that ΔLOP and ΔLMN, we get;

\(\overline {OP}\)/\(\overline {MN}\)  = \(\overline {LP}\)/\(\overline {LN}\) = 5/15 = 1/3

∴ (x - 3)/(x + 1) = 1/3

3·(x - 3) = 1·(x + 1)

3·x - 9 = x + 1

3·x - x = 1 + 9 = 10

2·x = 10

x = 10/2 = 5

x = 5

\(\overline {OP}\) = (x - 3) = 5 - 3 = 2

\(\overline {OP}\) = 2

\(\overline {MN}\) = x + 1 = 5 + 1 = 6

\(\overline {MN}\) =  6

Therefore, the correct option is ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since \(\overline {OP}\) ║ \(\overline {MN}\), ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6.

Answer:

105 m

Step-by-step explanation:

Given that Jules has a mirror that has a shape of a triangle, the length of the border Jules would add = the perimeter of the triangular mirror.

The perimeter of the triangular mirror is simply the sum of all the 3 sides of the triangle.

Since, each side is of equal length (35 cm), therefore, perimeter of the mirror = 35 + 35 + 35 = 105 m

Perimeter of mirror = length of border to add = 105 m

The border is 105 m long.

Answer:

24

Step-by-step explanation:

The delivery person can take 24 boxes of books up the elevator at one time. This was my process:

(1140-150) / 40

990 / 40

24.75

But you cannot have three quarters of a box so the final answer would be 24.

The percentage increase in average commute times between these years = 2.25%

In 2010, the average commute time for wake county workers = 23.9 mins

In 2016, the average commute time for wake county workers = 25 mins.

The increase is = 25- 23.9 = 1.1

The average commute time between the two years,

23.9+25 = 48.9 mins

Therefore, the percentage,

= 1.1/48.9×100

= 110/48.9

= 2.249%

= 2.25% to the nearest two decimal places.

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Answer:

Step-by-step explanation:

a=70

b=45

c=65

e=70

c=65

f=110

d=45

c=130

d=50

b=50

a=65

x=36   I can't see the number in the triangle so i can't finish this one

a=50

b=60