In Problems 59–62, find the length of each side of the triangle
determined by the three points P1, P, and Pz. State whether the
triangle is an isosceles triangle, a right triangle, neither of these, or
both. (An isosceles triangle is one in which at least two of the sides
are of equal length.)
59. P = (2,1); P2 = (-4,1); Pz = (-4,-3)

Answer:

548.28

Step-by-step explanation:

you want to take the original pay ( $275 ) and push that to the side.

take 3,094 and find 7% of that, which would be 273.28

lastly you want to take 273.28 and add the original pay of 275.

273.28 + 275 = 548.28

so her total pay for the week was 548.28

For every 4 beef cattle there is 3 dairy cattle. For 24 dairy cattle there will be 32 beef cattle as per the given ratio of 3:4.

An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls). The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two things.

Here,

a. No for every 4 beef cattle there is 3 dairy cattle.

b. 4/3=x/24

x=4*24/3

x=32 beef cattle

There are 3 dairy cattle for every 4 beef cattle. According to the stated ratio of 3:4, there will be 32 beef cattle for every 24 dairy cattle.

To know more about ratio,

https://brainly.com/question/13419413?referrer=searchResults

#SPJ13

Hello there!

Answer:

16

Step-by-step explanation:

\( |x| = x \: \: \: if \: \: x \: \geqslant 0 \\ |x| = - x \: \: \: if \: \: \: x \: \leqslant 0\)

-12 < 0 so |-12| = -(-12) = 12

4 > 0 so |4| = 4

|-12| + |4| = 12 + 4 = 16

Answer:

16

Step-by-step explanation:

Hello! This question is looking for the absolute value of integers. The absolute value is the distance the number has from zero. For example, -12 as twelve numbers away from zero, twelve away in the negative direction. The absolute value of -12, then, is just twelve. An easy way to remember this is to take away the negative sign when taking the absolute value, since an absolute value can never be negative. The absolute value sign is represented by a squarish bracket [ and ].

This question says to find the absolute value of each integer and then add the two. First we have [-12]. This is 12 away from zero, and we can take away the - sign from the asked integer and we get 12.

The second integer given is 4, and when we take the absolute value of 4, [+4], we get positive four. This is because four is four spaces away from zero on the number line.

Thus, we have +12 and +4 as are values to add since they are the absolute values and we can form this equation

12+4=16

Thus, the answer is 16.

Hope this helps! Remember the hint, when something has brackets like that or asks for the absolute value, take away a negative sign and make it positive! Have a great day!

Answer:

198

Step-by-step explanation:

due to order of eliminations u multiply 33 and 3 in both parantheses. then you add them together, you get 198.

Answer:

400

Step-by-step explanation:

The computation is shown below:-

x = commercial vans

y = small trucks

z = large trucks

Therefore

x + y + z = 280 ........................ (i)

Given that

x = 2y .....................(ii)

Now

$25,000 x + $30,000 y + $40,000 z = $88,000,000 ................ (iii)

We know x = 2y already,

so in the first equation:

2y + y + z = 280

3y + z = 280

x = 280 - 3y

So, we will use this in the third equation

$25,000(2y) + $30,000y + $80,000(280-3y) = $88,000,000

$50,000y + $30,000y + $22,400,000 - $240,000y = $88,000,000

-$160,000y = -$65,600,000

y = 410

Putting in 410 in the second equation:

x = 2 × 410

= 810

and finally

= x - y

= 810 - 410

= 400

a) We calculate the following using a calculator or spreadsheet:

m = -0.1896

b = 1968.7688

Hence, p = -0.1896x + 1968.7688 is the linear regression equation for the price-demand data.

b)We obtain:

m = -0.1896

b = 1968.7688 using a calculator or spreadsheet.

As a result, the price-demand data's linear regression equation is:

p = -0.1896x + 1968.7688

Linear regression is a statistical method used to find a linear relationship between a dependent variable and one or more independent variables. In other words, it is used to model and predict the behavior of a dependent variable based on one or more independent variables.

The simplest form of linear regression is called simple linear regression, which involves finding a straight line that best fits a set of data points. This line is known as the regression line or the line of best fit. The equation of the regression line is of the form y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept.

The process of linear regression involves estimating the values of m and b that minimize the difference between the actual values of the dependent variable and the predicted values based on the regression line. This is done using various statistical techniques, such as the least squares method.

Linear regression can be used for a variety of purposes, such as predicting future values of a dependent variable, identifying trends and patterns in data, and determining the strength and direction of the relationship between variables. It is widely used in many fields, including economics, finance, engineering, and social sciences.

(A) To find a linear regression equation for the price-demand data, we can use a calculator or spreadsheet software. The equation should be in the form of p = mx + b, where p is the price, x is the annual demand, m is the slope, and b is the y-intercept.

Using a calculator or spreadsheet, we get:

m = -0.1896

b = 1968.7688

Therefore, the linear regression equation for the price-demand data is:

p = -0.1896x + 1968.7688

(B) To find a linear regression equation for the cost data, we can use a calculator or spreadsheet software. The equation should be in the form of C = mx + b, where C is the total cost, x is the annual demand, m is the variable cost per treadmill, and b is the fixed cost.

Using a calculator or spreadsheet, we get:

m = 507.9

b = 2278366

Therefore, the linear regression equation for the cost data is:

C = 507.9x + 2278366

To estimate the fixed costs and variable costs per treadmill, we can use the slope and y-intercept values from the equation. The variable cost per treadmill is the slope, which is $507.9. The fixed costs are the y-intercept, which is $2,278,366.

(C) The break-even point is the point where the total revenue equals the total cost. We can find the break-even point by setting the price equal to the variable cost per treadmill, which is $507.9, and solving for the annual demand, x. Using the linear regression equation for price-demand, we get:

-0.1896x + 1968.7688 = 507.9x + 2278366

Solving for x, we get:

x = 3782

Therefore, the break-even point is 3782 treadmills.

(D) To find the price range for which the company will make a profit, we need to find the range of prices for which the total revenue is greater than the total cost. We can use the linear regression equations for price demand and cost to calculate the total revenue and total cost for different prices and demand levels.

For example, if the company sets the price at $1300 per treadmill, the annual demand would be:

-0.1896x + 1968.7688 = 1300

Solving for x, we get:

x = 6866

The total revenue would be:

1300 x 6866 = 8,923,800

The total cost would be:

507.9 x 6866 + 2278366 = 3,594,880.4

Therefore, the profit would be:

8923800 - 3594880.4 = 5,327,919.6

So, if the company sets the price between $910 and $1280, it will make a profit. We can verify this by calculating the total revenue and total cost for different prices and demand levels within this range.

To know more about the cost visit:

brainly.com/question/13542740

#SPJ1

Answer:

12

Step-by-step explanation:

it is given that CD is tangent to O B

so BDC is right triangle.

pythagorean theorem

BD^2=BC^2+CD^2

13^2=5^2+CD^2

169-25=CD^2

CD=√144

CD=12

Answer:

The proportion of faculty that earns more than $25,250 but less than $38,750 is 0.8025.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by \(100(1 - \frac{1}{k^{2}})\).

In this question, we have that:

Mean of 32000, Standard deviation of 3000.

Using Chebyshev's Theorem, what is the proportion of faculty that earns more than $25,250 but less than $38,750

This is within 38,750 - 32,000 = 32,000 - 25,250 = $6,750 of the mean.

Value of k:

This is k standard deviations from the mean. k is given by:

\(k = \frac{6750}{3000} = 2.25\)

Proportion:

The percentage is:

\(p = 100(1 - \frac{1}{(2.25)^{2}}) = 80.25\).

So the proportion is 0.8025

Answer:

Step-by-step explanation:

51,200 divided by 52. (52 weeks in a year.) 984.615385 is answer. So each week he gets paid $984.62. So then we multiply that by 3 since we are finding 40% of 3 weeks of pay. $984.62x3= $2953.86. Then we multiply that by 40%.. $2953.86x40%= Answer is $11181.54

Answer:

19

Step-by-step explanation:

- To evaluate this expression, we simply have to substitute the variables for their values.

x²+yz

(-3)² + (5)(2)

9 + 10

= 19

If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

It is given that, a certain truck traveled 7,605 miles in 15 days.

The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,

Suppose the average number of miles traveled per day is x,

x=76015 / 15

x=507 miles per day.

Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

Learn more about the average here:

brainly.com/question/24057012

#SPJ1

Answer:

The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)

I hope this helps you!

Answer:

can i have a photo, please?

Step-by-step explanation:

Answer:

The triangular prism shown has 2 triangular face(s) and 3 lateral face(s).

The area of one triangular face is 7.5 mm²

The surface area of the triangular prism is 135 mm²

Step-by-step explanation:

A triangular face of the prism is the face that has a three sided figure while the lateral faces are faces with four-sided figure. As seen from the triangular prism, it has 2 triangular faces since it is made up of 2 right angled triangles and has 3 lateral faces since it is made up of 3 rectangles which are 4 sided each.

Area of one triangular face = \(\frac{1}{2} * base * height\)

Given base = 2.5 mm and height = 6 mm

Area of one triangular face = \(\frac{1}{2} *2.5 * 6\\\)

\(= 3*2.5\\= 7.5mm^{2}\)

Surface area of triangular prism = bh + pH

b= base of the triangle  = 2.5 mm

h- height of the triangle  = 6 mm

p= perimeter of the triangle  = base + height + slant height = 2.5+6+6.5

p = 15 mm

H= height of the prism = 8mm

Surface area of triangular prism = 2.5(6)+15(8)

Surface area of triangular prism = 15 + 120

Surface area of triangular prism = 135mm²

Answer: The triangular prism shown has 2 triangular face(s) and 3 lateral face(s).

The area of one triangular face is 7.5 mm²

The surface area of the triangular prism is 135 mm²

Step-by-step explanation:

I'm not sure of what your trying to find... but the slope is (10/3). The equation in  slope form is y=(10/3)x-10. The Standard form is 10x-3y=30.

Does this help?

Answer: The equation of that line is \(Y = 3 \frac{1}{3}x -10\)

Step-by-step explanation:

The quadratic regression equation model given is;

For month 11, substituting x = 11 in the equation,

The predicted rainfall in month 11 is -32.4cm

From the options given, the correct answer is option A because the prediction does not make sense because there can not be a negative amount of rainfall.

Therefore, option A is the right answer.

Answer:

-150

Step-by-step explanation:

x^2 - 7x^2 - 18x +42

3^2 - 7(3)^2 - 18(3) + 42

9 - 63 - 54 + 42

-54 -54 + 42

-108 + 42

-150

Answer:

Step-by-step explanation:

4/mx

m = -2, 0.  The function y = xm is a solution when m = -2 or 0.

For the differential equation xy'' + 2y' = 0, the function y = xm is a solution if m = -2 or 0. This can be seen by substitution and solving the resulting equation. When m = -2, the equation simplifies to 0 = 0, which is true. When m = 0, the equation simplifies to 0 = 2y', which is true when y' = 0. Therefore, the function y = xm is a solution when m = -2 or 0.

To solve for m, first substitute the function y = xm into the differential equation, giving xm'' + 2mx' = 0. Then move all terms containing m to one side of the equation, leaving 0 on the other side. This gives m'' + 2m' = 0, which is a second-order linear differential equation. This equation can be solved using the characteristic equation, which is found by setting the discriminant of the equation equal to 0. The discriminant for this equation is 4 - 4(1)(0) = 4, which is greater than 0. Thus, the equation has two distinct real solutions, which are m = -2 and m = 0. Therefore, the function y = xm is a solution when m = -2 or 0.

Learn more about function here

https://brainly.com/question/29633660

#SPJ4

Answer:

Step-by-step explanation:

We can use the method of undetermined coefficients to solve this differential equation. First, we will need to find the solution to the homogeneous equation and the particular solution to the non-homogeneous equation.

For the homogeneous equation, we will use the form y"+ky=0, where k is a constant. We can find the solutions to this equation by letting y=e^mx,

y"=m^2e^mx -> (m^2)e^mx+k*e^mx=0, therefore (m^2+k)e^mx=0

(m^2+k) should equal 0 for the equation to have a non-trivial solution. Therefore, m=±i√(k), and the general solution to the homogenous equation is y=A*e^i√(k)x+Be^-i√(k)*x.

Now, we need to find the particular solution to the non-homogeneous equation. We can use the method of undetermined coefficients to find the particular solution. We will let yp=a0+a1x+a2x^2+.... As the derivative of a sum of functions is the sum of the derivatives, we get

yp″=a1+2a2x....yp‴=2a2+3a3x+....

Substituting the general solution into the non-homogeneous equation, we get

a0+a1x+a2x^2+...+2a2x+3a3x^2+...=Y(4)

So, the coefficient of each term in the expansion of the left hand side should equal the coefficient of each term in the expansion of the right hand side. Since there is only one term on the right hand side, we get the recurrence relation:

a(n+1)=Y(n-2)/n^2

From this relation, we can find all the coefficients in the expansion for the particular solution. Using this particular solution, we can find the total solution to the differential equation as the sum of the homogeneous solution and the particular solution.

Can you put more of the question

The quadrilateral you're describing is a Kite. A kite is a quadrilateral with two pairs of consecutive congruent sides, and its diagonals meet at a right angle.

The possible price for the items if the store sells $600 is (c) $40

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

The supply-demand graph

If the store sells $600, then there is a supply worth of $600

The equation of the supply line is calculated as

y = mx + c

Where

c = y = 0

i.e. c = 100

So, we have

y = mx + 100

Using another point on the graph, we have

30m + 10 = 400

So, we have

m = 13

This means that

y = 13x + 100

For a supply of 600, we have

13x + 100 = 600

So, we have

13x = 500

Divide by 13

x = 38.4

Approximate

x = 40

Hence, the possible price for the items is (c) $40

Read more about supply-demand graph at

https://brainly.com/question/14297698

#SPJ1

We're given:

If the shop sold " \(9\dfrac{9}{10}\)  times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.

Multiply \(9\dfrac{9}{10}\) by 9 ounces:

\(9\dfrac{9}{10}\times9\)

Convert the fraction into an improper fraction:

\(=\dfrac{99}{10}\times9\)

Multiply:

\(=\dfrac{891}{10}\)

The shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.

The simplified fraction is −|a+b|2−c= -3/5 when a=4 , b=−1 , and c=−3

A fraction  indicates a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction defines how many pieces of a specific size there are, for example, one-half, eight-fifths, and three-quarters. A common, vulgar, or simple fraction consists of a numerator displayed above a line (or before a slash like 12) and a non-zero denominator displayed below (or after) that line. Numerators and denominators are also employed in uncommon fractions, such as compound fractions, complex fractions, and mixed numerals.

The numerator and denominator of positive common fractions are both natural integers. The denominator represents a number of equal parts, while the numerator represents a number of equal parts.

Given,

a=4

b=-1

c=-3

= -|a +b|/2-c

= -|4-1|/2-(-3)

= -|3|/2+3

- |3|/5

= -3/5

Therefore, −|a+b|2−c= -3/5

To know more about fraction, visit:

https://brainly.com/question/10354322

#SPJ1

9514 1404 393

Answer:

  19

Step-by-step explanation:

If we assume that the car ferries start at or before 6:05, and each 5 minutes thereafter, and if we count the ferries at the dock on either end, the total number seen is the number of ferries encountered in ...

  55 +35 = 90 . . . minutes

That is, it is the number already in transit when they leave, plus the number that start while they are traveling.

That's 90/5 +1* = 19 ferries.

_____

The attached diagram can give an idea. Each up-sloping line represents a ferry in-transit. The left side is Dumbledore Wharf; the right side is Hogwarts dock. Each horizontal unit represents the distance traveled by a ferry in 5 minutes. Each vertical unit represents a 5-minute interval.

The down-sloping line represents the motorboat travel. The dots at either end of the latter line represent car ferries that are at the dock, just arriving or just-departing. Altogether, there are 17 places where the lines cross, in addition to the boats at the docks.

__

* the +1 is because the number of points defining intervals is 1 more than the number of intervals.

Answer:

2A. 2x-7 =3

B. Subtraction property

3A. 2x = 10

B. Addition property

4A. x=5

B. Division property

Answer:

5413 baseballs

Explanation:

Dimensions of the box = 48in x 40in x 36in.

The diameter of one baseball = 2.90 inches

Radius = Diameter ÷ 2 = 2.90 ÷ 2 =1.45 Inches

First, we find the volume of one of the baseball.

The baseball is in the shape of a sphere and:

Therefore, the volume of one baseball will be:

Next, we find the volume of the box.

Therefore, the number of baseballs that will fit into the box will be:

Answer:

x = 2

Step-by-step explanation:

2x - 3 = 9 - 4x

6x - 3 = 9 (added 4x to both sides)

6x = 12 (added 3 to both sides)

x = 2 (divided 12 by 6)

hope this helps :)