distance between -5.4 and -3.8

Step-by-step explanation:

$4200 - $50

= $4150

4150 divided by 45 = 92.222.......

92.222 is approximately 93

So you can purchase 92/93 tickets in total

Since tickets are physical things, I dont think you can approximate it but that's my answer

The maximum amount of adult tickets they can purchase are 92.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given are tickets at an amusement park that are $25 for children and $45 for adults. The Jones family has 4200 cash and they have two children.

Assume that they could purchase [n] number of adult tickets.

Cash remaining for adult tickets = 4200 - 2(25)

The total number of adult tickets that can be buyed are calculated as follows -

45n = 4200 - 2(25)

45n = 4200 - 50

45n = 4150

n = 4150/45

n = 92 (exact value)

Therefore, the maximum amount of adult tickets they can purchase are 92.

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The Cartesian coordinate (2, -4) can be converted to polar coordinates as follows: r = √(x^2 + y^2) and θ = arctan(y/x). In this case, the polar coordinates are r = √(2^2 + (-4)^2) = √(4 + 16) = √20 and θ = arctan((-4)/2) = arctan(-2).

1. Calculate the value of r: The distance from the origin to the point (2, -4) can be found using the distance formula r = √(x^2 + y^2). Substituting the given values, we have r = √(2^2 + (-4)^2) = √(4 + 16) = √20.

2. Determine the value of θ: The angle θ can be found using the arctan function, which gives the angle between the positive x-axis and the line connecting the origin to the point (2, -4). We calculate θ = arctan((-4)/2) = arctan(-2). Note that we use the signs of the coordinates to determine the correct quadrant for θ.

Therefore, the polar coordinates for the Cartesian point (2, -4) are r = √20 and θ = arctan(-2).

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Answer:

900 ml of milk

Step-by-step explanation:

the scale is 1:1 so just multiply by 3

Answer:

B. (x-3)^2

Step-by-step explanation:

x^2-6x+9 = (x-3)^2

(a-b)^2=a^2-2ab+b^2

(a+b)^2=a^2+2ab+b ^2

The fewest number of posts required to fence an area of 36 meters by 60 meters is 12 posts.

According the information given by the statement, the number of posts (\(n\)) is determined by the following formula:

\(n = 1 + \frac{2\cdot x_{1}+x_{2}}{d} \) (1)

Where:

The fewest number of posts is represented by the minimum \(n\) associated to a combination of \(x_{1}\) and \(x_{2}\).

\(n = 1 + \frac{2\cdot (36\,m)+60\,m}{12\,m} \)

\(n = 12\)

\(n = 1 + \frac{2\cdot (60\,m)+36\,m}{12\,m} \)

\(n = 14\)

Hence, the fewest number of posts required to fence an area of 36 meters by 60 meters is 12 posts. \(\blacksquare\)

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In the next 10 years there will be 398 racoons in the state park

The annual increase in the population size is defined as a sum of differences: the difference between births less deaths and the difference between immigrants less emigrants, in a given country, territory or geographic area at a given year.

Using the formula

p(t) = p(o) e^ kt

k = 3.5/100 = 0.035

t = 10 years

p(t) = 280 e^ 0.035 ×10

p(t) = 280e^0.35

p(t) = 280 × 1.42

p(t) = 398( nearest whole number)

therefore be after 10 years there will be 398 racoons in the state park.

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Answer:

a) (x, y) = (1, 7)

Step-by-step explanation:

Let be the following system of inequalties:

\(y > x^{2}-4\cdot x -5\)

\(y < -x^{2}-5\cdot x +6\)

We can find the right option by evaluating each option in the system of inequalities:

a) (x, y) = (1, 7)

\(7 > 1^{2}-4\cdot (1) -5\)

\(7 < -1^{2}-5\cdot (1) +6\)

Then,

\(7>-8\) (TRUE)

\(7<0\) (FALSE)

(1, 7) is not a solution of the system of inequalities.

b) (x, y) = (1, -7)

\(-7 > 1^{2}-4\cdot (1) -5\)

\(-7 < -1^{2}-5\cdot (1) +6\)

Then,

\(-7 > - 8\) (TRUE)

\(-7< 0\) (TRUE)

(1, -7) is a solution of the system of inequalities.

c) (x, y) = (1, -5)

\(-5 > 1^{2}-4\cdot (1) -5\)

\(-5 < -1^{2}-5\cdot (1) +6\)

Then,

\(-5 > - 8\) (TRUE)

\(-5< 0\) (TRUE)

(1, -5) is a solution of the system of inequalities.

d) (x, y) = (-1, 6)

\(6 > (-1)^{2}-4\cdot (-1) -5\)

\(6 <(-1)^{2}-5\cdot (-1)+6\)

Then,

\(6>0\) (TRUE)

\(6 < 12\) (TRUE)

(-1, 6) is a solution of the system of inequalties.

Therefore, we conclude that correct answer is A.

Answer:

Its Not (1,7) i took the test and missed it

Step-by-step explanation:

Answer:

Increases from points 0x,-6y to 2x,-3y.

Step-by-step explanation:

The values of the sides are;

41. x = 18√3. Option D

42. x = 6√3. Option A

Using the different trigonometric identities, we have;

41. Using the tangent identity, we have;

tan 60 = 9√2/y

cross multiply the values

y =9√2 ×√3

y = 9√6

Using the sine identity;

sin 45 = y/x

1/√2 = 9√6/x

cross multiply the values, we have;

x = 9√2 ×√3 ×√2

x = 18√3

42. Using the cosine identity

cos 60 = 3√3 /x

cross multiply, we have;

x = 6√3

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Answer:

Step-by-step explanation:

-4 and -3

Answer:

-4 and 3 because I tookt the test and the other guy was right too

Answer:

230??

Step-by-step explanation:

If C =270°

And b=40°

270-40= 230

Actually belive the one on top

As you consider the various factors involved in starting a group, the most important factor you have to judge is the group's purpose or goal.

Step 1: Identify the group's purpose or goal - This is crucial because it will guide all other decisions, including membership criteria, communication methods, and meeting schedules.

Step 2: Assess the needs and resources of potential members - This will help you understand their motivations and ensure the group can support their needs while accomplishing its goal.

Step 3: Establish clear membership criteria and expectations - This will ensure that everyone in the group is on the same page and committed to the same goals.

Step 4: Choose an appropriate communication method - This will facilitate smooth and efficient communication among group members.

Step 5: Develop a meeting schedule that works for all members - Regular meetings help keep the group on track and provide opportunities for collaboration and feedback.

By focusing on the group's purpose or goal, you can create a solid foundation for a successful and productive group.

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Answer:

0, -2 for the slope and y intercept

hooe this helps

Answer:

The slope is -5/6 and the y intercept is -2.

Step-by-step explanation:

One way to solve is rewriting the standard form ax+by=c to slope intercept form y=mx+b

5x+6y=-12

6y=-12-5x

Divide both sides by 6.

6y/6 = (-12-5x)/6

y=-2-(5/6)x

The slope is -5/6 and the y intercept is -2.

Line a which passes (1, 4) has a constant of proportionality of 4.

Line b runs through (5, 2), with a constant of proportionality of 2/5.

The constant of proportionality is often represented by the letter "k" and it is used in a mathematical relationship known as a proportionality relationship. The proportionality relationship can be written as y = kx, where y and x are the two variables and k is the constant of proportionality.

This means that the value of y is directly proportional to the value of x and is equal to k times the value of x. The value of k can be found by dividing the value of y by the value of x, when the two variables are in proportion.

Line a passes through the (1, 4), therefore:

constant of proportionality = y/x = 4/1 = 4.

Line b passes through the (5, 2), therefore:

constant of proportionality = y/x = 2/5.

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The measurements associated with student life are categorized as follows: length of time to complete an exam is a ratio, time of first class is an interval, major field of study is nominal, course evaluation scale is ordinal, score on last exam is a ratio, and age of student is a ratio.

(a) Length of time to complete an exam - Ratio: This is measured on a scale of time, and can be expressed as a ratio (i.e. the amount of time spent on the exam divided by the total time allotted for the exam).

(b) Time of first class - Interval: The time of the first class is measured on a scale of minutes, hours, and days, and can be expressed as an interval (i.e. the amount of time between two classes).

(c) Major field of study - Nominal: This is a categorical measurement and can be expressed as a nominal variable (i.e. the student's major field of study is either engineering, business, etc).

(d) Course evaluation scale: poor, acceptable, good - Ordinal: This is a scale of quality and can be expressed as an ordinal variable (i.e. the quality of the course can be rated as poor, acceptable, or good).

(e) Score on last exam (based on 100 possible points) - Ratio: This is measured on a scale of points, and can be expressed as a ratio (i.e. the student's score on the exam divided by the total number of points possible).

(f) Age of student - Ratio: This is measured on a scale of years, and can be expressed as a ratio (i.e. the student's age divided by the total number of years they have been alive).

The measurements associated with student life are categorized as follows: length of time to complete an exam is a ratio, time of first class is an interval, major field of study is nominal, course evaluation scale is ordinal, score on last exam is a ratio, and age of student is a ratio.

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i believe you have to do 200 devided by 5 im not sure.

Answer: None

Step-by-step explanation:

angle APD would suggest that P is the vertex (where the rays of the angle originate) and A and D would be the rays that extend outward from the vertex forming an angle. This angle is not marked on the diagram.

Answer:

I can even see anything can you reupload your answer, please?

Step-by-step explanation:

Answer:

160.12^2

Step-by-step explanation:

Answer:

  (a)  8 : 3

  (b)  1 7/8 cups

Step-by-step explanation:

Given a recipe that calls for 2 cups of flour and 3/4 cup of water, you want to know the ratio in simplest terms, and the amount of water for 5 cups of flour.

The ratio can be written and simplified as a fraction. Fractions are divided in the usual way.

  2/(3/4) = 2 ÷ 3/4 = 2 × 4/3 = 8/3 = 8 : 3

If we multiply each term in this ratio by 5/8, we can find the recipe that uses 5 cups of flour:

  (5/8)·8 : (5/8)·3 = 5 : 15/8 = 5 : 1 7/8

Naomi uses 1 7/8 cups of water with 5 cups of flour.

Answer:

Step-by-step explanation:

\((a)\)

\(2:\frac{3}{4}\)

Multiply both sides by 4 to remove fraction:

\(2\times4:\frac{3}{4} \times 4\)

\(8:3\)     (this is simplest form because no number goes into both 8 and 3)

\((b)\)

5 cups of flower:

\(8 \times \frac{5}{8} : 3 \times \frac{5}{8}\)   (I chose \(\frac{5}{8}\) to turn the 8 into 5)

\(5:\frac{15}{8}\)

5 cups flour needs \(\frac{15}{8}\) (\(=1\frac{7}{8}\)) cups water

Step-by-step explanation:

Use z-score table to find the z-score that corresponds to .7000   ( 70%)

approx   .525   s.d.  above the mean

  .525  * 10 =  5.25  points above 100   = 105.25

Answer:

(5+5+5+5)*5

20*5=100

\(5\cdot5\cdot5-5\cdot5=125-25=100\)

1. The amount invested in retirement throughout the groups slowly increases.

2. The millennials 3.5%, Gen X 8.8% and Boomers 10.3%.

The amount invested for retirement varies across different age groups, with the highest percentage of income dedicated to retirement savings being observed among Baby Boomers, followed by Generation X and then Millennials.

According to the data, Millennials allocate an average of 3.5% of their income for retirement while Generation X invests around 8.8%, and Baby Boomers lead the pack with approximately 10.3% of their income being set aside for retirement.

In an overall, the amount invested in retirement gradually increases as individuals progress through different age groups.

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Answer:

24.269

Step-by-step explanation:

The equation that can be used to represent the value of the home x years after the purchase is C. f(x) = 220000(1.04)x

From the information illustrated, Home values are expected to increase by 4% per year and Hadlee recently purchased a home for $220,000.

In this case, the equation that can be used to represent the value of the home x years after the purchase will be:

= Initial value × Increase

= 2200000 × (1 + 4%)^x

where x = number of years

= 220000(1.04)^x

In conclusion, the correct option is C.

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Answer:

A

Step-by-step explanation:

you would add .04 to the base. since it increases, the base would have to be at least 1.

Answer:

x-intercept = (-9,0)

y-intercept = (0,27)

Step-by-step explanation:

So first we will convert 9x - 3y = -81 into slope intercept form (y=mx+b).

Subtract 9x on both sides to get -3y = -9x -81. Next divide -3 on both sides to get y = 3x + 27.

Since b is the y-intercept, in y=mx+b and 27 is in the position of b, we can already tell that 27 is the y-intercept. So we will write it as (0,27) because coordinates are supposed to be written as (x,y).

Now in order to find the x-intercept, we will have to plug in 0 for y, in the original equation, so we can solve for x.

So we have: 9x -3(0) = -81

Since 3 × 0 = 0, we now have 9x - 0 = -81. So next we add 0 on both sides to get 9x = -81, and then we divide by 9 to get x = -9. So we will write this as (-9,0).

Hope this helps you :)

Yes, the tangent constraint can be applied between a line and an arc in many CAD (Computer-Aided Design) software programs.

In CAD, a tangent constraint is a geometric constraint that forces two entities (lines, arcs, circles, etc.) to share a common tangent at their point of contact. When you apply a tangent constraint between a line and an arc, the software will ensure that the line and the arc are always tangent to each other at their point of intersection.

This constraint is useful for designing mechanical components, such as gears or cams, where you need to ensure that the contact between two parts is smooth and continuous. It is also commonly used in architecture, where a building's curved surfaces may need to be tangent to adjacent straight lines or walls.

In short, the tangent constraint can be applied between a line and an arc, and it is a useful tool in many different fields of design.

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