the points in the table lie on a line. find the slope of the line (X. -2, -1, 0, 1) (Y. -10, -6, -2, 2)​

The best prediction of the bird population in the year 2014 is 3132.

The given data is-

Difference of the years;

2014 - 2009 = 5 years

Decline = 3,500 * (0.978)^5

Decline = 3,500 * 0.89473

Decline  = 3131.57

Thus, the population of the birds in 2014 will be 3,131.57 ≈ 3,132.

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Answer:

  42

Step-by-step explanation:

You want to know the missing denominator in the equation ...

  2/35 = 1/30 +1/x

Subtract 1/30 from both sides and simplify.

  2/35 -1/30 = 1/x

  (2·30 -1·35)/(35·30) = 1/x

  25/(35·30) = 1/x

  1/(7·6) = 1/42 = 1/x

The missing denominator is 42.

it equals = kwasia

30-24=6

The company's profits on June 1, 2002 is $4500 and the company's profits many years into the future is $1000 per month.

The equation f(t) = (t^2 + 9) / (t^2+2) provides the monthly profits, in thousands of dollar, where t refers to months after June 1, 2002.

The company’s profit on June 1, 2002 using the equation is when t = 0 months

f(0) = (0^2 + 9) / (0^2+2) = 9/2 = 4.5 or $4500.

The company’s profit on many years into the future using the equation is given by:

Limit(t→∞)((t^2+9)/(t^2+2))= Limit(t→∞)(2t/2t)=1

Hence the monthly profit is $1,000.

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Answer: The mass of the cube is 3 grams/cubic centimeter * (5 cubic centimeters) = 15 grams.

Step-by-step explanation:

Option D) is the correct answer. This is a non-proportional relationship.

A) -4 / 1 = -4

   -12/3 = -4

   -28/7 =-4

   -60 /15 = -4

In this relationship, the value of y / x is constant. So, this is a proportional relationship.

B) 7.5 /1 =7.5

  30/4 = 7.5

   52.5/7 = 7.5

   75/10 = 7.5

In this relationship, the value of y / x is constant. So, this is a proportional relationship.

C) 93.5 / -17 = -5.5

   27.5/ -5 = 5.5

  -11 / 2 = -5.5

  -55 /10 = -5.5

In this relationship, the value of y / x is constant. So, this is a proportional relationship.

D) 7.5 / 5 =1.5

    30 / -1 = -30

   52.5 / 1 = 52.5

    75/ 8 = 9.375

In this relationship, the value of y / x is not constant. So, this is a non-proportional relationship.

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The correct question is :

Which table represents a non-proportional relationship between x and y? A)X 1 3 7 15 Y -4 -12 -28 -60 B)X 1 4 7 10 Y 7. 5 30 52. 5 75 C)X -17 -5 2 10 Y 93. 5 27. 5 -11 -55 D) X -5 -1 1 8 Y 7. 5 30 52. 5 75

Ariel is correct, the statement is false and the equation has no solutions.

Ariel says that the given linear equation has no solutions, so we need to check that.

The linear equation is:

3y - 12 = 3*(y + 1)

If we expand the right side we will get:

3y - 12 = 3y + 3

Now we can subtract 3y in both sides, then we will get:

3y - 12 - 3y = 3y + 3 - 3y

-12 = 3

That is a false equation, thus there are no values of y such that the equation is true, then we don't have any solutions.

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Answer:

4 records sold on Wednesday, 32 records sold on Thursday!

Step-by-step explanation:

To do 9b, you need to set up our own equation!

Let's use W to represent records sold on Wednesday and T to represent records sold on Thursday.

It said 36 total records were sold on Wednesday and Thursday. This can be represented with the following equation ...

W + T = 36

It also tell us that on Thursday (T),  8 times the number of records sold on Wednesday were sold on Thursday. In equation form, this looks like ...

T = 8 × W

Now, let's use all this info to solve!

Let's first solve the equation W + T = 36

But, we need values! We have one! We know what T equals!

Let's plug in T

T = 8 × W

W + ( 8 × W ) = 36

Solve

W + 8W = 36

9W = 36

W = 4

4 records were sold on Wednesday!

Let's plug in W in our T equation to see how many records were sold on Thursday.

T = 8 × W

T = 8 × 4

T = 32

32 records were sold on Thursday!  

Wednesday can be represented with HALF A CIRCLE

and Thursday can we represented with FOUR CIRCLES

The slope of the line is 3, equation of the line is y = 3x-2 and value of c is 4

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

Given that, All the given points are on the same line and the points are: (5,13) (c,10) (2,4)

Finding the slope;

We know slope of a line passing through two points = (y₂-y₁)/(x₂-x₁)

so, considering the points (5,13) and (2,4)

= (4-13)/(2-5) = 3

Therefore, the slope of the line is 3

Finding the equation,

We know the general equation of a line is given by, y = mx+b,

Where m is slope and b is y intercept.

Solving for b, put x = 5, m = 3and y = 13, in the equation

13 = 5x3+c

b = 13-15

b = -2

Therefore, the equation is y = 3x-2

Finding the missing coordinate c,

Since, all the points lies in same line, so slope will be equal in all the points,

Therefore, (10-13)/(c-5) = 3

c-5 = -1

c = 4

Hence, The slope of the line is 3, equation of the line is y = 3x-2 and value of c is 4

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Answer:

A. 1/4

Step-by-step explanation:

Gradient = y2-y1/x2-x1

=(2-1)/(8-4)

=1/4

B in the table has a proportional value of 90.

A percentage is a component, piece, or amount that is compared to a total. It might be 0 or 1, or any number between 0 and 1. It can be stated numerically or as a percentage. In official statistics, one example would be the proportion of the Canadian population residing in a certain province. The population percentage is marked by the letter p, whereas the sample proportion is denoted by the letter p. Thus, p=0.43 if 43% of individuals visiting a business make a purchase before leaving.

Here,

Part      14       28          63

Whole 20       40          B

14/20=63/B

B=63*20/14

B=90

The value of B in the table is 90 by proportion.

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The reward-to-variability ratio of the best feasible is 0.4221 that is option a.

The proportion of stocks invested in the optimal risky portfolio can be calculated with the use of following formula:

Portfolio Invested in the Stock = [(Expected Return of the Stock - Risk Free Rate)*(Standard Deviation of Bond)^2 - (Expected Return of the Bond - Risk Free Rate)*Covariance between Bond and Stock]/[(Expected Return of the Stock - Risk Free Rate)*(Standard Deviation of Bond)^2 + (Expected Return of the Bond - Risk Free Rate)*(Standard Deviation of Stock)^2 - (Expected Return of Stock - Risk Free Rate + Expected Return of Bond - Risk Free Rate)]*Covariance between Bond and Stock

Portfolio Invested in Bond = 1 - Portfolio Invested in the Stock

Here, Risk Free Rate = 4 and Covariance = 32*24*.1250 = 96

Using these values and other information provided in the question, we get,

Portfolio Invested in the Stock = [(10 - 4)*(24)^2 - (7 - 4)*96]/(10 - 4)*(24)^2 + (7 - 4)*(32)^2 - [(10 - 4 + 7 - 4)]*96 = .5593

Portfolio Invested in Bond = 1-.5593 = .4407

Step 2: Calculate Expected Return and Standard Deviation of the Optimal Risky Portfolio

Expected Return = Portfolio Invested in Stock*Expected Return of Stock Portfolio Invested in Bond*Expected Return of Bond = .5593*10% + .4407*7% = 8.68%

Standard Deviation = [(Portfolio Invested in Stock)^2*(Standard Deviation of Stock)^2 + (Portfolio Invested in Bond)^2*(Standard Deviation of Bond)^2 + 2*(Portfolio Invested in Stock)*(Portfolio Invested in Bond)]^(1/2) = [(.5593)^2*(32)^2 + (.4407)^2*(24)^2 + 2*(.5593)*(.4407)*(96)]^(1/2) = 21.90%

Step 3: Calculate Reward-to-Volatility Ratio

The reward-to-volatility ratio can be calculated with the use of following formula:

Reward-to-Volatility Ratio = (Expected Return of the Portfolio - Risk Free Rate)/Standard Deviation of Portfolio = (8.68 - 4)/21.90 = .4221

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AU is 20 degrees and ∠QPA is 35 degrees and ∠ARU is 40 degrees are the unknown measures.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.

In the given triangle A is the incenter for triangle PQR.

By observing figure, AR is angle bisector of angle URK.

So,   ∠ARU = ∠ARK = 40 degree

Since, incenter point is equidistant from the sides of a triangle.

AT = AU = AK = 20

Since, PA is angle bisector of angle QPU.

So,  ∠QPA = ∠UPA

3x + 2 = 4x - 9

Subtract 3x and add 2 on both sides of equation.

4x - 3x = 9 + 2

x = 11

Now plug in x value in ∠QPA=3(11)+2

=33+2=35 degrees.

Hence, Measures ∠ARU is 40 degrees, AU is 20 degrees and ∠QPA is 35 degrees.

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Answer:

OB

Step-by-step explanation:

|x+11|<17

x+11<17

x<17-11

x<6

-(x+11)<17

-x-11<17

-x<17+11

-x<28\×(-)

x>-28

By dividing the annual percentage rate (APR) by the number of billing cycles per year, the periodic interest rate = 73.89%

The periodic interest rate is the interest rate that is applied to your credit card balance on a periodic basis, usually on a monthly or daily basis. It is calculated by dividing the annual percentage rate (APR) by the number of billing cycles in a year.

The periodic interest rate would be calculated as follows:

Periodic interest rate = APR / number of billing cycles per year

Periodic interest rate = APR / number of billing cycles per year

Since the billing cycle is 31 days long, there are approximately 12/31 = 0.387096774 billing cycles per year. Therefore, the periodic interest rate would be:

Periodic interest rate = 28.53% / 0.387096774 = 73.89%

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Answer:

79°

Step-by-step explanation:

Angles on a line add to [tex]180^{\circ}[/tex].

[tex]28+x+73=180 \\ \\ 101+x=180 \\ \\ x=79[/tex]

The X coordinate of the image is (-5,2)

A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x,y).

The coordinates of one point in the coordinate system are included in an ordered pair. An ordered pair of the form of a point's name is (x, y). The x-coordinate is represented by the first integer, and the y-coordinate by the second. You must place a dot at the coordinates of the ordered pair in order to graph a point.

Given

The coordinates for x and y change when you consider the line y=x. The end product is (-5,2)

Because (-5,2) its reflection means x coordinate will y coordinate and y coordinate will x coordinate so the coordinate be (-5,2)

The complete question is : Find the coordinates of the image of point (2,-5) after a reflection in the line y=x

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a ship leaves a harbor. it travels 35 miles due east and then adjusts its course 40 degrees northward. after traveling 45 miles in that direction,The distance from the ship's point of departure is approximately 59.9 miles.

To determine the distance from the ship's point of departure, we must first break down the distance traveled into x and y components. Initially, the ship traveled 35 miles due east, which can be represented as 35 miles on the x-axis. When the ship adjusted its course 40 degrees northward, it traveled 45 miles in that direction. This can be represented as 45 miles in the y direction, forming a triangle with the origin (point of departure). Using the Pythagorean theorem, we can calculate the hypotenuse of the triangle, which is equal to the distance from the point of departure. The hypotenuse of the triangle is equal to the square root of (35^2 + 45^2), which is equal to approximately 59.9 miles. Therefore, the distance from the ship's point of departure is approximately 59.9 miles.

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Answer:

[tex]528m^{2}[/tex]

Step-by-step explanation:

In order to find out how much sheet of metal is required to cover the cylinder, We find the total surface area

So the Formula to find the total surface area is,

[tex]2\pi r^{2} + 2\pi rh[/tex]

But first we need to find the radius with the formula

[tex]r= \frac{d}{2} \\[/tex]

[tex]r= \frac{14}{2} \\r=7[/tex]

Now we can apply the formula for the total surface area of a cylinder

[tex]2[/tex]x[tex]3.14[/tex]x[tex](7)^{2} +[/tex] [tex]2[/tex]x[tex]3.14[/tex]x[tex]7[/tex]x[tex]5[/tex]

[tex]307.72+[/tex][tex]219.8[/tex]

[tex]528m^{2}[/tex]

Hence the sheet of metal required is [tex]528m^{2}[/tex]

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Answer:

  (i)  x = 17 cm

  (ii) 360 cm²

  (iii) 14400 cm³

  (iv) 4000 cm²

Step-by-step explanation:

You want the slant side length, end area, volume, and total surface area of an isosceles trapezoidal prism with end bases 16 cm and 32 cm and end height 15 cm. The length of the prism is 40 cm.

The slant side of the base is the hypotenuse of a right triangle that has legs of 15 cm and (32 -16)/2 = 8 cm. You recognize these numbers as belonging to the {8, 15, 17} Pythagorean triple, so you know the slant side is 17 cm.

If you don't recognize that triple, you can figure the side length as ...

  x = √(15² +8²) = √(225 +64) = √289

  x = 17 . . . centimeters

The area of the end trapezoid is given by ...

  A = 1/2(b1 +b2)h = 1/2(32 +16)(15) = 360 . . . cm²

The area of the end surface is 360 cm².

The volume of the prism is given by ...

  V = Bh

where B is the area of the base, and h is the length between bases.

  V = (360 cm²)(40 cm) = 14400 cm³

The volume of the prism is 14400 cubic centimeters.

The total surface area is the sum of the areas of the two bases and the lateral area. The lateral area is the product of the perimeter of the base and the length of the prism.

  total area = 2 · base area + lateral area

  total area = 2 · 360 cm² + (32 + 17 + 16 + 17 cm)(40 cm)

  total area = 720 cm² + 3280 cm² = 4000 cm²

The total surface area of the prism is 4000 square centimeters.

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Given:

The line that passes through the points (8,-1) and (5,-1)

To find:

Find the equation.

Explanation:

We know, the equation of the line passes through the two points,

Answer:

y = -2x - 15

Step-by-step explanation:

We are given 2 pieces of information: (1) a point our line passes through, and (2) a line it is perpendicular to. The only thing we need from (2) is the slope.

We know that perpendicular lines have opposite signs and are inverses (denominator and numerator switched). So our line must have a slope of

m = -2

Using our equation for a line: y = mx+b, our line so far is

(I) y = -2x + b

Let's use the point we have (-9,3) and substitute what we know into equation (I) to find b.

x = -9

y = 3

(I) (3) = -2(-9) + b

3 = 18+b

b= -15

Now we have m and b so we can write the equation of our line:

y = -2x - 15

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

there is no X in the eqn❗how would i answer it

Answer:

1/14×9=1×9/14and is equal to 9/14

The width of the box m = 5 units

The width of  the box = m units

Where m is a prime number

Height of the box = m+2 units

The length of the box = m -1 units

The volume of the box = 140 cubic units

The volume of the box = Length × width × height

140 = m × (m+2) × (m-1)

140 = (m^2 + 2m )(m-1)

140 = m^3 - m^2 + 2m^2 - 2m

140 = m^3 + m^2 - 2m

m^3 + m^2 - 2m - 140 = 0

We can split the equation by taking the common term outside

(m-5) (m^2 + 6m + 28) = 0

Therefore, one value of m = 5

5 is a prime number

Therefore, the value of m is 5

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Answer:

29.5 or 30 if rounded

Step-by-step explanation:

Add all of the numbers then divide by how many there is 30

886 divide by 30

= 29.5

Hope this helps!!!

Answer: 9

Step-by-step explanation:

6 / 2 ( 1+2)

We divided first

3 ( 1 +2)

Then we do the 1+2 second because they have ( )

3 (3)

Then we times them and get 9